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<title>src/full/Agda/TypeChecking/Substitute.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE CPP, TypeSynonymInstances, FlexibleInstances, OverlappingInstances,
<a name="line-2"></a> DeriveDataTypeable, DeriveFunctor, StandaloneDeriving #-}</span>
<a name="line-3"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>TypeChecking</span><span class='hs-varop'>.</span><span class='hs-conid'>Substitute</span> <span class='hs-keyword'>where</span>
<a name="line-4"></a>
<a name="line-5"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span><span class='hs-varop'>.</span><span class='hs-conid'>Identity</span>
<a name="line-6"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span><span class='hs-varop'>.</span><span class='hs-conid'>Reader</span>
<a name="line-7"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Arrow</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varop'>***</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-8"></a>
<a name="line-9"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Typeable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Typeable</span><span class='hs-layout'>)</span>
<a name="line-10"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>List</span> <span class='hs-varid'>hiding</span> <span class='hs-layout'>(</span><span class='hs-varid'>sort</span><span class='hs-layout'>)</span>
<a name="line-11"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>List</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>List</span>
<a name="line-12"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Function</span>
<a name="line-13"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Map</span> <span class='hs-layout'>(</span><span class='hs-conid'>Map</span><span class='hs-layout'>)</span>
<a name="line-14"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Map</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Map</span>
<a name="line-15"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Set</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Set</span>
<a name="line-16"></a>
<a name="line-17"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Syntax</span><span class='hs-varop'>.</span><span class='hs-conid'>Common</span>
<a name="line-18"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Syntax</span><span class='hs-varop'>.</span><span class='hs-conid'>Internal</span>
<a name="line-19"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Syntax</span><span class='hs-varop'>.</span><span class='hs-conid'>Position</span>
<a name="line-20"></a>
<a name="line-21"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>TypeChecking</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span><span class='hs-varop'>.</span><span class='hs-conid'>Base</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Base</span>
<a name="line-22"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>TypeChecking</span><span class='hs-varop'>.</span><span class='hs-conid'>Free</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Free</span>
<a name="line-23"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>TypeChecking</span><span class='hs-varop'>.</span><span class='hs-conid'>CompiledClause</span>
<a name="line-24"></a>
<a name="line-25"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Utils</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span>
<a name="line-26"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Utils</span><span class='hs-varop'>.</span><span class='hs-conid'>Size</span>
<a name="line-27"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Utils</span><span class='hs-varop'>.</span><span class='hs-conid'>Permutation</span>
<a name="line-28"></a>
<a name="line-29"></a><span class='hs-cpp'>#include "../undefined.h"</span>
<a name="line-30"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Utils</span><span class='hs-varop'>.</span><span class='hs-conid'>Impossible</span>
<a name="line-31"></a>
<a name="line-32"></a><a name="Apply"></a><span class='hs-comment'>-- | Apply something to a bunch of arguments.</span>
<a name="line-33"></a><a name="Apply"></a><span class='hs-comment'>-- Preserves blocking tags (application can never resolve blocking).</span>
<a name="line-34"></a><a name="Apply"></a><span class='hs-keyword'>class</span> <span class='hs-conid'>Apply</span> <span class='hs-varid'>t</span> <span class='hs-keyword'>where</span>
<a name="line-35"></a> <span class='hs-varid'>apply</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Args</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span>
<a name="line-36"></a>
<a name="line-37"></a><a name="instance%20Apply%20Term"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-conid'>Term</span> <span class='hs-keyword'>where</span>
<a name="line-38"></a> <span class='hs-varid'>apply</span> <span class='hs-varid'>m</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>m</span>
<a name="line-39"></a> <span class='hs-varid'>apply</span> <span class='hs-varid'>m</span> <span class='hs-varid'>args</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-conop'>:</span><span class='hs-varid'>args0</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-40"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>of</span>
<a name="line-41"></a> <span class='hs-conid'>Var</span> <span class='hs-varid'>i</span> <span class='hs-varid'>args'</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Var</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-varid'>args'</span> <span class='hs-varop'>++</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span>
<a name="line-42"></a> <span class='hs-conid'>Def</span> <span class='hs-varid'>c</span> <span class='hs-varid'>args'</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Def</span> <span class='hs-varid'>c</span> <span class='hs-layout'>(</span><span class='hs-varid'>args'</span> <span class='hs-varop'>++</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span>
<a name="line-43"></a> <span class='hs-conid'>Con</span> <span class='hs-varid'>c</span> <span class='hs-varid'>args'</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Con</span> <span class='hs-varid'>c</span> <span class='hs-layout'>(</span><span class='hs-varid'>args'</span> <span class='hs-varop'>++</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span>
<a name="line-44"></a> <span class='hs-conid'>Lam</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>u</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>absApp</span> <span class='hs-varid'>u</span> <span class='hs-layout'>(</span><span class='hs-varid'>unArg</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varop'>`apply`</span> <span class='hs-varid'>args0</span>
<a name="line-45"></a> <span class='hs-conid'>MetaV</span> <span class='hs-varid'>x</span> <span class='hs-varid'>args'</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>MetaV</span> <span class='hs-varid'>x</span> <span class='hs-layout'>(</span><span class='hs-varid'>args'</span> <span class='hs-varop'>++</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span>
<a name="line-46"></a> <span class='hs-conid'>Shared</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Shared</span> <span class='hs-varop'>$</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>p</span> <span class='hs-varid'>args</span>
<a name="line-47"></a> <span class='hs-conid'>Lit</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-48"></a> <span class='hs-conid'>Level</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-49"></a> <span class='hs-conid'>Pi</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-50"></a> <span class='hs-conid'>Sort</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-51"></a> <span class='hs-conid'>DontCare</span> <span class='hs-varid'>mv</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>DontCare</span> <span class='hs-varop'>$</span> <span class='hs-varid'>mv</span> <span class='hs-varop'>`apply`</span> <span class='hs-varid'>args</span> <span class='hs-comment'>-- Andreas, 2011-10-02</span>
<a name="line-52"></a> <span class='hs-comment'>-- need to go under DontCare, since "with" might resurrect irrelevant term</span>
<a name="line-53"></a>
<a name="line-54"></a><a name="instance%20Apply%20Type"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-conid'>Type</span> <span class='hs-keyword'>where</span>
<a name="line-55"></a> <span class='hs-varid'>apply</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>piApply</span>
<a name="line-56"></a>
<a name="line-57"></a><a name="instance%20Apply%20Sort"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-conid'>Sort</span> <span class='hs-keyword'>where</span>
<a name="line-58"></a> <span class='hs-varid'>apply</span> <span class='hs-varid'>s</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>s</span>
<a name="line-59"></a> <span class='hs-varid'>apply</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-60"></a>
<a name="line-61"></a><a name="instance%20Apply%20(Ptr%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ptr</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-62"></a> <span class='hs-varid'>apply</span> <span class='hs-varid'>p</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varop'>`apply`</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varid'>p</span>
<a name="line-63"></a>
<a name="line-64"></a><a name="instance%20Apply%20(Tele%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>Tele</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-65"></a> <span class='hs-varid'>apply</span> <span class='hs-varid'>tel</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>tel</span>
<a name="line-66"></a> <span class='hs-varid'>apply</span> <span class='hs-conid'>EmptyTel</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-67"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>ExtendTel</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-conop'>:</span> <span class='hs-varid'>ts</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>absApp</span> <span class='hs-varid'>tel</span> <span class='hs-layout'>(</span><span class='hs-varid'>unArg</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-varop'>`apply`</span> <span class='hs-varid'>ts</span>
<a name="line-68"></a>
<a name="line-69"></a><a name="instance%20Apply%20Definition"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-conid'>Definition</span> <span class='hs-keyword'>where</span>
<a name="line-70"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>Defn</span> <span class='hs-varid'>rel</span> <span class='hs-varid'>x</span> <span class='hs-varid'>t</span> <span class='hs-varid'>pol</span> <span class='hs-varid'>occ</span> <span class='hs-varid'>df</span> <span class='hs-varid'>m</span> <span class='hs-varid'>c</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Defn</span> <span class='hs-varid'>rel</span> <span class='hs-varid'>x</span> <span class='hs-layout'>(</span><span class='hs-varid'>piApply</span> <span class='hs-varid'>t</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>apply</span> <span class='hs-varid'>pol</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>apply</span> <span class='hs-varid'>occ</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-varid'>df</span> <span class='hs-varid'>m</span> <span class='hs-varid'>c</span> <span class='hs-layout'>(</span><span class='hs-varid'>apply</span> <span class='hs-varid'>d</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span>
<a name="line-71"></a>
<a name="line-72"></a><a name="instance%20Apply%20%5bBase.Occurrence%5d"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Base</span><span class='hs-varop'>.</span><span class='hs-conid'>Occurrence</span><span class='hs-keyglyph'>]</span> <span class='hs-keyword'>where</span>
<a name="line-73"></a> <span class='hs-varid'>apply</span> <span class='hs-varid'>occ</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>drop</span> <span class='hs-layout'>(</span><span class='hs-varid'>length</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-varid'>occ</span>
<a name="line-74"></a>
<a name="line-75"></a><a name="instance%20Apply%20%5bPolarity%5d"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Polarity</span><span class='hs-keyglyph'>]</span> <span class='hs-keyword'>where</span>
<a name="line-76"></a> <span class='hs-varid'>apply</span> <span class='hs-varid'>pol</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>drop</span> <span class='hs-layout'>(</span><span class='hs-varid'>length</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-varid'>pol</span>
<a name="line-77"></a>
<a name="line-78"></a><a name="instance%20Apply%20Defn"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-conid'>Defn</span> <span class='hs-keyword'>where</span>
<a name="line-79"></a> <span class='hs-varid'>apply</span> <span class='hs-varid'>d</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>d</span>
<a name="line-80"></a> <span class='hs-varid'>apply</span> <span class='hs-varid'>d</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>d</span> <span class='hs-keyword'>of</span>
<a name="line-81"></a> <span class='hs-conid'>Axiom</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>d</span>
<a name="line-82"></a> <span class='hs-conid'>Function</span><span class='hs-layout'>{</span> <span class='hs-varid'>funClauses</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cs</span><span class='hs-layout'>,</span> <span class='hs-varid'>funCompiled</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cc</span><span class='hs-layout'>,</span> <span class='hs-varid'>funInv</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inv</span>
<a name="line-83"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funProjection</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Nothing</span> <span class='hs-comment'>{-, funArgOccurrences = occ -}</span> <span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span>
<a name="line-84"></a> <span class='hs-varid'>d</span> <span class='hs-layout'>{</span> <span class='hs-varid'>funClauses</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>cs</span> <span class='hs-varid'>args</span>
<a name="line-85"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funCompiled</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>cc</span> <span class='hs-varid'>args</span>
<a name="line-86"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funInv</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>inv</span> <span class='hs-varid'>args</span>
<a name="line-87"></a><span class='hs-comment'>-- , funArgOccurrences = drop (length args) occ</span>
<a name="line-88"></a> <span class='hs-layout'>}</span>
<a name="line-89"></a> <span class='hs-conid'>Function</span><span class='hs-layout'>{</span> <span class='hs-varid'>funClauses</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cs</span><span class='hs-layout'>,</span> <span class='hs-varid'>funCompiled</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cc</span><span class='hs-layout'>,</span> <span class='hs-varid'>funInv</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inv</span>
<a name="line-90"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funProjection</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span><span class='hs-layout'>,</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-comment'>{-, funArgOccurrences = occ -}</span> <span class='hs-layout'>}</span>
<a name="line-91"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>m</span> <span class='hs-varop'><</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>d</span> <span class='hs-layout'>{</span> <span class='hs-varid'>funProjection</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span><span class='hs-layout'>,</span> <span class='hs-varid'>n</span> <span class='hs-comment'>-</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-layout'>}</span>
<a name="line-92"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>-></span>
<a name="line-93"></a> <span class='hs-varid'>d</span> <span class='hs-layout'>{</span> <span class='hs-varid'>funClauses</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>cs</span> <span class='hs-varid'>args'</span>
<a name="line-94"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funCompiled</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>cc</span> <span class='hs-varid'>args'</span>
<a name="line-95"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funInv</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>inv</span> <span class='hs-varid'>args'</span>
<a name="line-96"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funProjection</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span><span class='hs-layout'>,</span> <span class='hs-num'>0</span><span class='hs-layout'>)</span>
<a name="line-97"></a><span class='hs-comment'>-- , funArgOccurrences = drop 1 occ</span>
<a name="line-98"></a> <span class='hs-layout'>}</span>
<a name="line-99"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>args'</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>last</span> <span class='hs-varid'>args</span><span class='hs-keyglyph'>]</span>
<a name="line-100"></a> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>size</span> <span class='hs-varid'>args</span>
<a name="line-101"></a> <span class='hs-conid'>Datatype</span><span class='hs-layout'>{</span> <span class='hs-varid'>dataPars</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>np</span><span class='hs-layout'>,</span> <span class='hs-varid'>dataClause</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cl</span>
<a name="line-102"></a> <span class='hs-comment'>{-, dataArgOccurrences = occ-}</span> <span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span>
<a name="line-103"></a> <span class='hs-varid'>d</span> <span class='hs-layout'>{</span> <span class='hs-varid'>dataPars</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>np</span> <span class='hs-comment'>-</span> <span class='hs-varid'>size</span> <span class='hs-varid'>args</span><span class='hs-layout'>,</span> <span class='hs-varid'>dataClause</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>cl</span> <span class='hs-varid'>args</span>
<a name="line-104"></a><span class='hs-comment'>-- , dataArgOccurrences = drop (length args) occ</span>
<a name="line-105"></a> <span class='hs-layout'>}</span>
<a name="line-106"></a> <span class='hs-conid'>Record</span><span class='hs-layout'>{</span> <span class='hs-varid'>recPars</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>np</span><span class='hs-layout'>,</span> <span class='hs-varid'>recConType</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-varid'>recClause</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cl</span><span class='hs-layout'>,</span> <span class='hs-varid'>recTel</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>tel</span>
<a name="line-107"></a> <span class='hs-comment'>{-, recArgOccurrences = occ-}</span> <span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span>
<a name="line-108"></a> <span class='hs-varid'>d</span> <span class='hs-layout'>{</span> <span class='hs-varid'>recPars</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>np</span> <span class='hs-comment'>-</span> <span class='hs-varid'>size</span> <span class='hs-varid'>args</span><span class='hs-layout'>,</span> <span class='hs-varid'>recConType</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>t</span> <span class='hs-varid'>args</span>
<a name="line-109"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>recClause</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>cl</span> <span class='hs-varid'>args</span><span class='hs-layout'>,</span> <span class='hs-varid'>recTel</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>args</span>
<a name="line-110"></a><span class='hs-comment'>-- , recArgOccurrences = drop (length args) occ</span>
<a name="line-111"></a> <span class='hs-layout'>}</span>
<a name="line-112"></a> <span class='hs-conid'>Constructor</span><span class='hs-layout'>{</span> <span class='hs-varid'>conPars</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>np</span> <span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span>
<a name="line-113"></a> <span class='hs-varid'>d</span> <span class='hs-layout'>{</span> <span class='hs-varid'>conPars</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>np</span> <span class='hs-comment'>-</span> <span class='hs-varid'>size</span> <span class='hs-varid'>args</span> <span class='hs-layout'>}</span>
<a name="line-114"></a> <span class='hs-conid'>Primitive</span><span class='hs-layout'>{</span> <span class='hs-varid'>primClauses</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cs</span> <span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span>
<a name="line-115"></a> <span class='hs-varid'>d</span> <span class='hs-layout'>{</span> <span class='hs-varid'>primClauses</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>cs</span> <span class='hs-varid'>args</span> <span class='hs-layout'>}</span>
<a name="line-116"></a>
<a name="line-117"></a><a name="instance%20Apply%20PrimFun"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-conid'>PrimFun</span> <span class='hs-keyword'>where</span>
<a name="line-118"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>PrimFun</span> <span class='hs-varid'>x</span> <span class='hs-varid'>ar</span> <span class='hs-varid'>def</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>PrimFun</span> <span class='hs-varid'>x</span> <span class='hs-layout'>(</span><span class='hs-varid'>ar</span> <span class='hs-comment'>-</span> <span class='hs-varid'>size</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>vs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>def</span> <span class='hs-layout'>(</span><span class='hs-varid'>args</span> <span class='hs-varop'>++</span> <span class='hs-varid'>vs</span><span class='hs-layout'>)</span>
<a name="line-119"></a>
<a name="line-120"></a><a name="instance%20Apply%20Clause"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-conid'>Clause</span> <span class='hs-keyword'>where</span>
<a name="line-121"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>Clause</span> <span class='hs-varid'>r</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>perm</span> <span class='hs-varid'>ps</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span>
<a name="line-122"></a> <span class='hs-conid'>Clause</span> <span class='hs-varid'>r</span> <span class='hs-layout'>(</span><span class='hs-varid'>apply</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>apply</span> <span class='hs-varid'>perm</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span>
<a name="line-123"></a> <span class='hs-layout'>(</span><span class='hs-varid'>drop</span> <span class='hs-layout'>(</span><span class='hs-varid'>size</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-varid'>ps</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>apply</span> <span class='hs-varid'>b</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span>
<a name="line-124"></a>
<a name="line-125"></a><a name="instance%20Apply%20CompiledClauses"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-conid'>CompiledClauses</span> <span class='hs-keyword'>where</span>
<a name="line-126"></a> <span class='hs-varid'>apply</span> <span class='hs-varid'>cc</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>cc</span> <span class='hs-keyword'>of</span>
<a name="line-127"></a> <span class='hs-conid'>Fail</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Fail</span>
<a name="line-128"></a> <span class='hs-conid'>Done</span> <span class='hs-varid'>hs</span> <span class='hs-varid'>t</span>
<a name="line-129"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>length</span> <span class='hs-varid'>hs</span> <span class='hs-varop'>>=</span> <span class='hs-varid'>len</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Done</span> <span class='hs-layout'>(</span><span class='hs-varid'>drop</span> <span class='hs-varid'>len</span> <span class='hs-varid'>hs</span><span class='hs-layout'>)</span>
<a name="line-130"></a> <span class='hs-layout'>(</span><span class='hs-varid'>applySubst</span>
<a name="line-131"></a> <span class='hs-layout'>(</span><span class='hs-varid'>parallelS</span> <span class='hs-varop'>$</span>
<a name="line-132"></a> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>var</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'><-</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>0</span><span class='hs-keyglyph'>..</span><span class='hs-varid'>length</span> <span class='hs-varid'>hs</span> <span class='hs-comment'>-</span> <span class='hs-varid'>len</span> <span class='hs-comment'>-</span> <span class='hs-num'>1</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>]</span> <span class='hs-varop'>++</span>
<a name="line-133"></a> <span class='hs-varid'>map</span> <span class='hs-varid'>unArg</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span>
<a name="line-134"></a> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-135"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>-></span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-136"></a> <span class='hs-conid'>Case</span> <span class='hs-varid'>n</span> <span class='hs-varid'>bs</span>
<a name="line-137"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>n</span> <span class='hs-varop'>>=</span> <span class='hs-varid'>len</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Case</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-comment'>-</span> <span class='hs-varid'>len</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>apply</span> <span class='hs-varid'>bs</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span>
<a name="line-138"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>-></span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-139"></a> <span class='hs-keyword'>where</span>
<a name="line-140"></a> <span class='hs-varid'>len</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>length</span> <span class='hs-varid'>args</span>
<a name="line-141"></a>
<a name="line-142"></a><a name="instance%20Apply%20(WithArity%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>WithArity</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-143"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>WithArity</span> <span class='hs-varid'>n</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>WithArity</span> <span class='hs-varid'>n</span> <span class='hs-varop'>$</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>a</span> <span class='hs-varid'>args</span>
<a name="line-144"></a>
<a name="line-145"></a><a name="instance%20Apply%20(Case%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>Case</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-146"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>Branches</span> <span class='hs-varid'>cs</span> <span class='hs-varid'>ls</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span>
<a name="line-147"></a> <span class='hs-conid'>Branches</span> <span class='hs-layout'>(</span><span class='hs-varid'>apply</span> <span class='hs-varid'>cs</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>apply</span> <span class='hs-varid'>ls</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>apply</span> <span class='hs-varid'>m</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span>
<a name="line-148"></a>
<a name="line-149"></a><a name="instance%20Apply%20FunctionInverse"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-conid'>FunctionInverse</span> <span class='hs-keyword'>where</span>
<a name="line-150"></a> <span class='hs-varid'>apply</span> <span class='hs-conid'>NotInjective</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NotInjective</span>
<a name="line-151"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>Inverse</span> <span class='hs-varid'>inv</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Inverse</span> <span class='hs-varop'>$</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>inv</span> <span class='hs-varid'>args</span>
<a name="line-152"></a>
<a name="line-153"></a><a name="instance%20Apply%20ClauseBody"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-conid'>ClauseBody</span> <span class='hs-keyword'>where</span>
<a name="line-154"></a> <span class='hs-varid'>apply</span> <span class='hs-varid'>b</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>b</span>
<a name="line-155"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bind</span> <span class='hs-layout'>(</span><span class='hs-conid'>Abs</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-conop'>:</span><span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>subst</span> <span class='hs-layout'>(</span><span class='hs-varid'>unArg</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span> <span class='hs-varop'>`apply`</span> <span class='hs-varid'>args</span>
<a name="line-156"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bind</span> <span class='hs-layout'>(</span><span class='hs-conid'>NoAbs</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-conop'>:</span><span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>b</span> <span class='hs-varop'>`apply`</span> <span class='hs-varid'>args</span>
<a name="line-157"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>Body</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Body</span> <span class='hs-varop'>$</span> <span class='hs-varid'>v</span> <span class='hs-varop'>`apply`</span> <span class='hs-varid'>args</span>
<a name="line-158"></a> <span class='hs-varid'>apply</span> <span class='hs-conid'>NoBody</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NoBody</span>
<a name="line-159"></a>
<a name="line-160"></a><a name="instance%20Apply%20DisplayTerm"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-conid'>DisplayTerm</span> <span class='hs-keyword'>where</span>
<a name="line-161"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>DTerm</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>DTerm</span> <span class='hs-varop'>$</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>v</span> <span class='hs-varid'>args</span>
<a name="line-162"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>DDot</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>DDot</span> <span class='hs-varop'>$</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>v</span> <span class='hs-varid'>args</span>
<a name="line-163"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>DCon</span> <span class='hs-varid'>c</span> <span class='hs-varid'>vs</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>DCon</span> <span class='hs-varid'>c</span> <span class='hs-varop'>$</span> <span class='hs-varid'>vs</span> <span class='hs-varop'>++</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-conid'>DTerm</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span>
<a name="line-164"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>DDef</span> <span class='hs-varid'>c</span> <span class='hs-varid'>vs</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>DDef</span> <span class='hs-varid'>c</span> <span class='hs-varop'>$</span> <span class='hs-varid'>vs</span> <span class='hs-varop'>++</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-conid'>DTerm</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span>
<a name="line-165"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>DWithApp</span> <span class='hs-varid'>v</span> <span class='hs-varid'>args'</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>DWithApp</span> <span class='hs-varid'>v</span> <span class='hs-varop'>$</span> <span class='hs-varid'>args'</span> <span class='hs-varop'>++</span> <span class='hs-varid'>args</span>
<a name="line-166"></a>
<a name="line-167"></a><a name="instance%20Apply%20%5bt%5d"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Apply</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>t</span><span class='hs-keyglyph'>]</span> <span class='hs-keyword'>where</span>
<a name="line-168"></a> <span class='hs-varid'>apply</span> <span class='hs-varid'>ts</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varop'>`apply`</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-varid'>ts</span>
<a name="line-169"></a>
<a name="line-170"></a><a name="instance%20Apply%20(Blocked%20t)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>Blocked</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-171"></a> <span class='hs-varid'>apply</span> <span class='hs-varid'>b</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varop'>`apply`</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span>
<a name="line-172"></a>
<a name="line-173"></a><a name="instance%20Apply%20(Maybe%20t)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>Maybe</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-174"></a> <span class='hs-varid'>apply</span> <span class='hs-varid'>x</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varop'>`apply`</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-varid'>x</span>
<a name="line-175"></a>
<a name="line-176"></a><a name="instance%20Apply%20(Map%20k%20v)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>Map</span> <span class='hs-varid'>k</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-177"></a> <span class='hs-varid'>apply</span> <span class='hs-varid'>x</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varop'>`apply`</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-varid'>x</span>
<a name="line-178"></a>
<a name="line-179"></a><a name="instance%20Apply%20(a,b)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Apply</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Apply</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Apply</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-180"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>apply</span> <span class='hs-varid'>x</span> <span class='hs-varid'>args</span><span class='hs-layout'>,</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>y</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span>
<a name="line-181"></a>
<a name="line-182"></a><a name="instance%20Apply%20(a,b,c)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Apply</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Apply</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Apply</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Apply</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>,</span><span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-183"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>apply</span> <span class='hs-varid'>x</span> <span class='hs-varid'>args</span><span class='hs-layout'>,</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>y</span> <span class='hs-varid'>args</span><span class='hs-layout'>,</span> <span class='hs-varid'>apply</span> <span class='hs-varid'>z</span> <span class='hs-varid'>args</span><span class='hs-layout'>)</span>
<a name="line-184"></a>
<a name="line-185"></a><a name="instance%20Apply%20Permutation"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Apply</span> <span class='hs-conid'>Permutation</span> <span class='hs-keyword'>where</span>
<a name="line-186"></a> <span class='hs-comment'>-- The permutation must start with [0..m - 1]</span>
<a name="line-187"></a> <span class='hs-varid'>apply</span> <span class='hs-layout'>(</span><span class='hs-conid'>Perm</span> <span class='hs-varid'>n</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Perm</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-comment'>-</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>flip</span> <span class='hs-layout'>(</span><span class='hs-comment'>-</span><span class='hs-layout'>)</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>genericDrop</span> <span class='hs-varid'>m</span> <span class='hs-varid'>xs</span>
<a name="line-188"></a> <span class='hs-keyword'>where</span>
<a name="line-189"></a> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>size</span> <span class='hs-varid'>args</span>
<a name="line-190"></a>
<a name="line-191"></a><a name="instance%20Abstract%20Permutation"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-conid'>Permutation</span> <span class='hs-keyword'>where</span>
<a name="line-192"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-layout'>(</span><span class='hs-conid'>Perm</span> <span class='hs-varid'>n</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Perm</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-varop'>+</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>0</span><span class='hs-keyglyph'>..</span><span class='hs-varid'>m</span> <span class='hs-comment'>-</span> <span class='hs-num'>1</span><span class='hs-keyglyph'>]</span> <span class='hs-varop'>++</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varop'>+</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span>
<a name="line-193"></a> <span class='hs-keyword'>where</span>
<a name="line-194"></a> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>size</span> <span class='hs-varid'>tel</span>
<a name="line-195"></a>
<a name="line-196"></a><a name="piApply"></a><span class='hs-comment'>-- | The type must contain the right number of pis without have to perform any</span>
<a name="line-197"></a><span class='hs-comment'>-- reduction.</span>
<a name="line-198"></a><span class='hs-definition'>piApply</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Type</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Args</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Type</span>
<a name="line-199"></a><span class='hs-definition'>piApply</span> <span class='hs-varid'>t</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>t</span>
<a name="line-200"></a><span class='hs-definition'>piApply</span> <span class='hs-layout'>(</span><span class='hs-conid'>El</span> <span class='hs-keyword'>_</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pi</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-conop'>:</span><span class='hs-varid'>args</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>absApp</span> <span class='hs-varid'>b</span> <span class='hs-layout'>(</span><span class='hs-varid'>unArg</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varop'>`piApply`</span> <span class='hs-varid'>args</span>
<a name="line-201"></a><span class='hs-definition'>piApply</span> <span class='hs-layout'>(</span><span class='hs-conid'>El</span> <span class='hs-varid'>s</span> <span class='hs-layout'>(</span><span class='hs-conid'>Shared</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>piApply</span> <span class='hs-layout'>(</span><span class='hs-conid'>El</span> <span class='hs-varid'>s</span> <span class='hs-varop'>$</span> <span class='hs-varid'>derefPtr</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-varid'>args</span>
<a name="line-202"></a><span class='hs-definition'>piApply</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-203"></a>
<a name="line-204"></a><a name="Abstract"></a><span class='hs-comment'>-- | @(abstract args v) args --> v[args]@.</span>
<a name="line-205"></a><a name="Abstract"></a><span class='hs-keyword'>class</span> <span class='hs-conid'>Abstract</span> <span class='hs-varid'>t</span> <span class='hs-keyword'>where</span>
<a name="line-206"></a> <span class='hs-varid'>abstract</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Telescope</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span>
<a name="line-207"></a>
<a name="line-208"></a><a name="instance%20Abstract%20Term"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-conid'>Term</span> <span class='hs-keyword'>where</span>
<a name="line-209"></a> <span class='hs-varid'>abstract</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>teleLam</span>
<a name="line-210"></a>
<a name="line-211"></a><a name="instance%20Abstract%20Type"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-conid'>Type</span> <span class='hs-keyword'>where</span>
<a name="line-212"></a> <span class='hs-varid'>abstract</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>telePi_</span>
<a name="line-213"></a>
<a name="line-214"></a><a name="instance%20Abstract%20Sort"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-conid'>Sort</span> <span class='hs-keyword'>where</span>
<a name="line-215"></a> <span class='hs-varid'>abstract</span> <span class='hs-conid'>EmptyTel</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>s</span>
<a name="line-216"></a> <span class='hs-varid'>abstract</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-217"></a>
<a name="line-218"></a><a name="instance%20Abstract%20Telescope"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-conid'>Telescope</span> <span class='hs-keyword'>where</span>
<a name="line-219"></a> <span class='hs-varid'>abstract</span> <span class='hs-conid'>EmptyTel</span> <span class='hs-varid'>tel</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>tel</span>
<a name="line-220"></a> <span class='hs-varid'>abstract</span> <span class='hs-layout'>(</span><span class='hs-conid'>ExtendTel</span> <span class='hs-varid'>arg</span> <span class='hs-varid'>tel'</span><span class='hs-layout'>)</span> <span class='hs-varid'>tel</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ExtendTel</span> <span class='hs-varid'>arg</span> <span class='hs-varop'>$</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varop'>`abstract`</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-varid'>tel'</span>
<a name="line-221"></a>
<a name="line-222"></a><a name="instance%20Abstract%20Definition"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-conid'>Definition</span> <span class='hs-keyword'>where</span>
<a name="line-223"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-layout'>(</span><span class='hs-conid'>Defn</span> <span class='hs-varid'>rel</span> <span class='hs-varid'>x</span> <span class='hs-varid'>t</span> <span class='hs-varid'>pol</span> <span class='hs-varid'>occ</span> <span class='hs-varid'>df</span> <span class='hs-varid'>m</span> <span class='hs-varid'>c</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-224"></a> <span class='hs-conid'>Defn</span> <span class='hs-varid'>rel</span> <span class='hs-varid'>x</span> <span class='hs-layout'>(</span><span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>pol</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>occ</span><span class='hs-layout'>)</span> <span class='hs-varid'>df</span> <span class='hs-varid'>m</span> <span class='hs-varid'>c</span> <span class='hs-layout'>(</span><span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span>
<a name="line-225"></a>
<a name="line-226"></a><a name="instance%20Abstract%20%5bBase.Occurrence%5d"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Base</span><span class='hs-varop'>.</span><span class='hs-conid'>Occurrence</span><span class='hs-keyglyph'>]</span> <span class='hs-keyword'>where</span>
<a name="line-227"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-228"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>occ</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>replicate</span> <span class='hs-layout'>(</span><span class='hs-varid'>size</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-conid'>Mixed</span> <span class='hs-varop'>++</span> <span class='hs-varid'>occ</span> <span class='hs-comment'>-- TODO: check occurrence</span>
<a name="line-229"></a>
<a name="line-230"></a><a name="instance%20Abstract%20%5bPolarity%5d"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Polarity</span><span class='hs-keyglyph'>]</span> <span class='hs-keyword'>where</span>
<a name="line-231"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-232"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>pol</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>replicate</span> <span class='hs-layout'>(</span><span class='hs-varid'>size</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-conid'>Invariant</span> <span class='hs-varop'>++</span> <span class='hs-varid'>pol</span> <span class='hs-comment'>-- TODO: check polarity</span>
<a name="line-233"></a>
<a name="line-234"></a><a name="instance%20Abstract%20Defn"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-conid'>Defn</span> <span class='hs-keyword'>where</span>
<a name="line-235"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>d</span> <span class='hs-keyword'>of</span>
<a name="line-236"></a> <span class='hs-conid'>Axiom</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>d</span>
<a name="line-237"></a> <span class='hs-conid'>Function</span><span class='hs-layout'>{</span> <span class='hs-varid'>funClauses</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cs</span><span class='hs-layout'>,</span> <span class='hs-varid'>funCompiled</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cc</span><span class='hs-layout'>,</span> <span class='hs-varid'>funInv</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inv</span>
<a name="line-238"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funProjection</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Nothing</span> <span class='hs-comment'>{-, funArgOccurrences = occ-}</span> <span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span>
<a name="line-239"></a> <span class='hs-varid'>d</span> <span class='hs-layout'>{</span> <span class='hs-varid'>funClauses</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>cs</span><span class='hs-layout'>,</span> <span class='hs-varid'>funCompiled</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>cc</span>
<a name="line-240"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funInv</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>inv</span>
<a name="line-241"></a><span class='hs-comment'>-- , funArgOccurrences = replicate (size tel) Mixed ++ occ -- TODO: check occurrence</span>
<a name="line-242"></a> <span class='hs-layout'>}</span>
<a name="line-243"></a> <span class='hs-conid'>Function</span><span class='hs-layout'>{</span> <span class='hs-varid'>funClauses</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cs</span><span class='hs-layout'>,</span> <span class='hs-varid'>funCompiled</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cc</span><span class='hs-layout'>,</span> <span class='hs-varid'>funInv</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inv</span>
<a name="line-244"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>funProjection</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span><span class='hs-layout'>,</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-comment'>{-, funArgOccurrences = occ-}</span> <span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span>
<a name="line-245"></a> <span class='hs-varid'>d</span> <span class='hs-layout'>{</span> <span class='hs-varid'>funProjection</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span><span class='hs-layout'>,</span> <span class='hs-varid'>n</span> <span class='hs-varop'>+</span> <span class='hs-varid'>size</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-layout'>}</span>
<a name="line-246"></a> <span class='hs-conid'>Datatype</span><span class='hs-layout'>{</span> <span class='hs-varid'>dataPars</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>np</span><span class='hs-layout'>,</span> <span class='hs-varid'>dataClause</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cl</span> <span class='hs-comment'>{-, dataArgOccurrences = occ-}</span> <span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span>
<a name="line-247"></a> <span class='hs-varid'>d</span> <span class='hs-layout'>{</span> <span class='hs-varid'>dataPars</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>np</span> <span class='hs-varop'>+</span> <span class='hs-varid'>size</span> <span class='hs-varid'>tel</span><span class='hs-layout'>,</span> <span class='hs-varid'>dataClause</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>cl</span>
<a name="line-248"></a><span class='hs-comment'>-- , dataArgOccurrences = replicate (size tel) Mixed ++ occ -- TODO: check occurrence</span>
<a name="line-249"></a> <span class='hs-layout'>}</span>
<a name="line-250"></a> <span class='hs-conid'>Record</span><span class='hs-layout'>{</span> <span class='hs-varid'>recPars</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>np</span><span class='hs-layout'>,</span> <span class='hs-varid'>recConType</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-varid'>recClause</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cl</span><span class='hs-layout'>,</span> <span class='hs-varid'>recTel</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>tel'</span>
<a name="line-251"></a> <span class='hs-comment'>{-, recArgOccurrences = occ-}</span> <span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span>
<a name="line-252"></a> <span class='hs-varid'>d</span> <span class='hs-layout'>{</span> <span class='hs-varid'>recPars</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>np</span> <span class='hs-varop'>+</span> <span class='hs-varid'>size</span> <span class='hs-varid'>tel</span><span class='hs-layout'>,</span> <span class='hs-varid'>recConType</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>t</span>
<a name="line-253"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>recClause</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>cl</span><span class='hs-layout'>,</span> <span class='hs-varid'>recTel</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>tel'</span>
<a name="line-254"></a><span class='hs-comment'>-- , recArgOccurrences = replicate (size tel) Mixed ++ occ -- TODO: check occurrence</span>
<a name="line-255"></a> <span class='hs-layout'>}</span>
<a name="line-256"></a> <span class='hs-conid'>Constructor</span><span class='hs-layout'>{</span> <span class='hs-varid'>conPars</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>np</span> <span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span>
<a name="line-257"></a> <span class='hs-varid'>d</span> <span class='hs-layout'>{</span> <span class='hs-varid'>conPars</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>np</span> <span class='hs-varop'>+</span> <span class='hs-varid'>size</span> <span class='hs-varid'>tel</span> <span class='hs-layout'>}</span>
<a name="line-258"></a> <span class='hs-conid'>Primitive</span><span class='hs-layout'>{</span> <span class='hs-varid'>primClauses</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cs</span> <span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span>
<a name="line-259"></a> <span class='hs-varid'>d</span> <span class='hs-layout'>{</span> <span class='hs-varid'>primClauses</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>cs</span> <span class='hs-layout'>}</span>
<a name="line-260"></a>
<a name="line-261"></a><a name="instance%20Abstract%20PrimFun"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-conid'>PrimFun</span> <span class='hs-keyword'>where</span>
<a name="line-262"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-layout'>(</span><span class='hs-conid'>PrimFun</span> <span class='hs-varid'>x</span> <span class='hs-varid'>ar</span> <span class='hs-varid'>def</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>PrimFun</span> <span class='hs-varid'>x</span> <span class='hs-layout'>(</span><span class='hs-varid'>ar</span> <span class='hs-varop'>+</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>ts</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>def</span> <span class='hs-varop'>$</span> <span class='hs-varid'>genericDrop</span> <span class='hs-varid'>n</span> <span class='hs-varid'>ts</span>
<a name="line-263"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>size</span> <span class='hs-varid'>tel</span>
<a name="line-264"></a>
<a name="line-265"></a><a name="instance%20Abstract%20Clause"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-conid'>Clause</span> <span class='hs-keyword'>where</span>
<a name="line-266"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-layout'>(</span><span class='hs-conid'>Clause</span> <span class='hs-varid'>r</span> <span class='hs-varid'>tel'</span> <span class='hs-varid'>perm</span> <span class='hs-varid'>ps</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-267"></a> <span class='hs-conid'>Clause</span> <span class='hs-varid'>r</span> <span class='hs-layout'>(</span><span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>tel'</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>perm</span><span class='hs-layout'>)</span>
<a name="line-268"></a> <span class='hs-layout'>(</span><span class='hs-varid'>telVars</span> <span class='hs-varid'>tel</span> <span class='hs-varop'>++</span> <span class='hs-varid'>ps</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-269"></a>
<a name="line-270"></a><a name="instance%20Abstract%20CompiledClauses"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-conid'>CompiledClauses</span> <span class='hs-keyword'>where</span>
<a name="line-271"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-conid'>Fail</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Fail</span>
<a name="line-272"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-layout'>(</span><span class='hs-conid'>Done</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Done</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>argFromDom</span> <span class='hs-varop'>.</span> <span class='hs-varid'>fmap</span> <span class='hs-varid'>fst</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>telToList</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varid'>t</span>
<a name="line-273"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-layout'>(</span><span class='hs-conid'>Case</span> <span class='hs-varid'>n</span> <span class='hs-varid'>bs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-274"></a> <span class='hs-conid'>Case</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-varop'>+</span> <span class='hs-varid'>fromIntegral</span> <span class='hs-layout'>(</span><span class='hs-varid'>size</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>bs</span><span class='hs-layout'>)</span>
<a name="line-275"></a>
<a name="line-276"></a><a name="instance%20Abstract%20(WithArity%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Abstract</span> <span class='hs-layout'>(</span><span class='hs-conid'>WithArity</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-277"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-layout'>(</span><span class='hs-conid'>WithArity</span> <span class='hs-varid'>n</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>WithArity</span> <span class='hs-varid'>n</span> <span class='hs-varop'>$</span> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>a</span>
<a name="line-278"></a>
<a name="line-279"></a><a name="instance%20Abstract%20(Case%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Abstract</span> <span class='hs-layout'>(</span><span class='hs-conid'>Case</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-280"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-layout'>(</span><span class='hs-conid'>Branches</span> <span class='hs-varid'>cs</span> <span class='hs-varid'>ls</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-281"></a> <span class='hs-conid'>Branches</span> <span class='hs-layout'>(</span><span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>cs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>ls</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span>
<a name="line-282"></a>
<a name="line-283"></a><a name="telVars"></a><span class='hs-definition'>telVars</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Telescope</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Arg</span> <span class='hs-conid'>Pattern</span><span class='hs-keyglyph'>]</span>
<a name="line-284"></a><span class='hs-definition'>telVars</span> <span class='hs-conid'>EmptyTel</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-285"></a><span class='hs-definition'>telVars</span> <span class='hs-layout'>(</span><span class='hs-conid'>ExtendTel</span> <span class='hs-layout'>(</span><span class='hs-conid'>Dom</span> <span class='hs-varid'>h</span> <span class='hs-varid'>r</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Arg</span> <span class='hs-varid'>h</span> <span class='hs-varid'>r</span> <span class='hs-layout'>(</span><span class='hs-conid'>VarP</span> <span class='hs-varop'>$</span> <span class='hs-varid'>absName</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-conop'>:</span> <span class='hs-varid'>telVars</span> <span class='hs-layout'>(</span><span class='hs-varid'>unAbs</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span>
<a name="line-286"></a>
<a name="line-287"></a><a name="instance%20Abstract%20FunctionInverse"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-conid'>FunctionInverse</span> <span class='hs-keyword'>where</span>
<a name="line-288"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-conid'>NotInjective</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NotInjective</span>
<a name="line-289"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-layout'>(</span><span class='hs-conid'>Inverse</span> <span class='hs-varid'>inv</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Inverse</span> <span class='hs-varop'>$</span> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>inv</span>
<a name="line-290"></a>
<a name="line-291"></a><a name="instance%20Abstract%20ClauseBody"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-conid'>ClauseBody</span> <span class='hs-keyword'>where</span>
<a name="line-292"></a> <span class='hs-varid'>abstract</span> <span class='hs-conid'>EmptyTel</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>b</span>
<a name="line-293"></a> <span class='hs-varid'>abstract</span> <span class='hs-layout'>(</span><span class='hs-conid'>ExtendTel</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Bind</span> <span class='hs-varop'>$</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varop'>`abstract`</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>tel</span>
<a name="line-294"></a>
<a name="line-295"></a><a name="instance%20Abstract%20%5bt%5d"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Abstract</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>t</span><span class='hs-keyglyph'>]</span> <span class='hs-keyword'>where</span>
<a name="line-296"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span>
<a name="line-297"></a>
<a name="line-298"></a><a name="instance%20Abstract%20(Maybe%20t)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Abstract</span> <span class='hs-layout'>(</span><span class='hs-conid'>Maybe</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-299"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-varid'>x</span>
<a name="line-300"></a>
<a name="line-301"></a><a name="instance%20Abstract%20(Map%20k%20v)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Abstract</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Abstract</span> <span class='hs-layout'>(</span><span class='hs-conid'>Map</span> <span class='hs-varid'>k</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-302"></a> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-varid'>m</span>
<a name="line-303"></a>
<a name="line-304"></a><a name="abstractArgs"></a><span class='hs-definition'>abstractArgs</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Abstract</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Args</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span>
<a name="line-305"></a><span class='hs-definition'>abstractArgs</span> <span class='hs-varid'>args</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>abstract</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>x</span>
<a name="line-306"></a> <span class='hs-keyword'>where</span>
<a name="line-307"></a> <span class='hs-varid'>tel</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldr</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-conid'>Arg</span> <span class='hs-varid'>h</span> <span class='hs-varid'>r</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>ExtendTel</span> <span class='hs-layout'>(</span><span class='hs-conid'>Dom</span> <span class='hs-varid'>h</span> <span class='hs-varid'>r</span> <span class='hs-varop'>$</span> <span class='hs-varid'>sort</span> <span class='hs-conid'>Prop</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Abs</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-conid'>EmptyTel</span>
<a name="line-308"></a> <span class='hs-varop'>$</span> <span class='hs-varid'>zipWith</span> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-varop'>.</span> <span class='hs-varid'>const</span><span class='hs-layout'>)</span> <span class='hs-varid'>names</span> <span class='hs-varid'>args</span>
<a name="line-309"></a> <span class='hs-varid'>names</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cycle</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-conop'>:</span><span class='hs-conid'>[]</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>[</span><span class='hs-chr'>'a'</span><span class='hs-keyglyph'>..</span><span class='hs-chr'>'z'</span><span class='hs-keyglyph'>]</span>
<a name="line-310"></a>
<a name="line-311"></a><span class='hs-comment'>-- | Substitutions.</span>
<a name="line-312"></a>
<a name="line-313"></a><span class='hs-keyword'>infixr</span> <span class='hs-num'>4</span> <span class='hs-conop'>:#</span>
<a name="line-314"></a><a name="Substitution"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>Substitution</span>
<a name="line-315"></a>
<a name="line-316"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>IdS</span> <span class='hs-comment'>-- Γ ⊢ IdS : Γ</span>
<a name="line-317"></a>
<a name="line-318"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>EmptyS</span> <span class='hs-comment'>-- Γ ⊢ EmptyS : ()</span>
<a name="line-319"></a>
<a name="line-320"></a> <span class='hs-comment'>-- Γ ⊢ ρ : Δ</span>
<a name="line-321"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Wk</span> <span class='hs-varop'>!</span><span class='hs-conid'>Int</span> <span class='hs-conid'>Substitution</span> <span class='hs-comment'>-- -------------------</span>
<a name="line-322"></a> <span class='hs-comment'>-- Γ, Ψ ⊢ Wk |Ψ| ρ : Δ</span>
<a name="line-323"></a>
<a name="line-324"></a> <span class='hs-comment'>-- Γ ⊢ u : Aρ Γ ⊢ ρ : Δ</span>
<a name="line-325"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Term</span> <span class='hs-conop'>:#</span> <span class='hs-conid'>Substitution</span> <span class='hs-comment'>-- ---------------------</span>
<a name="line-326"></a> <span class='hs-comment'>-- Γ ⊢ u :# ρ : Δ, A</span>
<a name="line-327"></a>
<a name="line-328"></a> <span class='hs-comment'>-- Γ ⊢ ρ : Δ</span>
<a name="line-329"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Lift</span> <span class='hs-varop'>!</span><span class='hs-conid'>Int</span> <span class='hs-conid'>Substitution</span> <span class='hs-comment'>-- -------------------------</span>
<a name="line-330"></a> <span class='hs-comment'>-- Γ, Ψρ ⊢ Lift |Ψ| ρ : Δ, Ψ</span>
<a name="line-331"></a> <span class='hs-keyword'>deriving</span> <span class='hs-layout'>(</span><span class='hs-conid'>Eq</span><span class='hs-layout'>,</span> <span class='hs-conid'>Ord</span><span class='hs-layout'>,</span> <span class='hs-conid'>Show</span><span class='hs-layout'>)</span>
<a name="line-332"></a>
<a name="line-333"></a><a name="idS"></a><span class='hs-definition'>idS</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Substitution</span>
<a name="line-334"></a><span class='hs-definition'>idS</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>IdS</span>
<a name="line-335"></a>
<a name="line-336"></a><a name="wkS"></a><span class='hs-definition'>wkS</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Substitution</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Substitution</span>
<a name="line-337"></a><span class='hs-definition'>wkS</span> <span class='hs-num'>0</span> <span class='hs-varid'>rho</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rho</span>
<a name="line-338"></a><span class='hs-definition'>wkS</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-conid'>Wk</span> <span class='hs-varid'>m</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Wk</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-varop'>+</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-varid'>rho</span>
<a name="line-339"></a><span class='hs-definition'>wkS</span> <span class='hs-varid'>n</span> <span class='hs-conid'>EmptyS</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>EmptyS</span>
<a name="line-340"></a><span class='hs-definition'>wkS</span> <span class='hs-varid'>n</span> <span class='hs-varid'>rho</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Wk</span> <span class='hs-varid'>n</span> <span class='hs-varid'>rho</span>
<a name="line-341"></a>
<a name="line-342"></a><a name="raiseS"></a><span class='hs-definition'>raiseS</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Substitution</span>
<a name="line-343"></a><span class='hs-definition'>raiseS</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>wkS</span> <span class='hs-varid'>n</span> <span class='hs-varid'>idS</span>
<a name="line-344"></a>
<a name="line-345"></a><a name="singletonS"></a><span class='hs-definition'>singletonS</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Substitution</span>
<a name="line-346"></a><span class='hs-definition'>singletonS</span> <span class='hs-varid'>u</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>u</span> <span class='hs-conop'>:#</span> <span class='hs-varid'>idS</span>
<a name="line-347"></a>
<a name="line-348"></a><a name="liftS"></a><span class='hs-definition'>liftS</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Substitution</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Substitution</span>
<a name="line-349"></a><span class='hs-definition'>liftS</span> <span class='hs-num'>0</span> <span class='hs-varid'>rho</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rho</span>
<a name="line-350"></a><span class='hs-definition'>liftS</span> <span class='hs-varid'>k</span> <span class='hs-conid'>IdS</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>IdS</span>
<a name="line-351"></a><span class='hs-definition'>liftS</span> <span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lift</span> <span class='hs-varid'>n</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Lift</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-varop'>+</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-varid'>rho</span>
<a name="line-352"></a><span class='hs-definition'>liftS</span> <span class='hs-varid'>k</span> <span class='hs-varid'>rho</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Lift</span> <span class='hs-varid'>k</span> <span class='hs-varid'>rho</span>
<a name="line-353"></a>
<a name="line-354"></a><a name="dropS"></a><span class='hs-definition'>dropS</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Substitution</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Substitution</span>
<a name="line-355"></a><span class='hs-definition'>dropS</span> <span class='hs-num'>0</span> <span class='hs-varid'>rho</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rho</span>
<a name="line-356"></a><span class='hs-definition'>dropS</span> <span class='hs-varid'>n</span> <span class='hs-conid'>IdS</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>raiseS</span> <span class='hs-varid'>n</span>
<a name="line-357"></a><span class='hs-definition'>dropS</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-conid'>Wk</span> <span class='hs-varid'>m</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>wkS</span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>n</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span>
<a name="line-358"></a><span class='hs-definition'>dropS</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-varid'>u</span> <span class='hs-conop'>:#</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>dropS</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-comment'>-</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>rho</span>
<a name="line-359"></a><span class='hs-definition'>dropS</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lift</span> <span class='hs-num'>0</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-360"></a><span class='hs-definition'>dropS</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lift</span> <span class='hs-varid'>m</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>wkS</span> <span class='hs-num'>1</span> <span class='hs-varop'>$</span> <span class='hs-varid'>dropS</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-comment'>-</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>liftS</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span> <span class='hs-comment'>-</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>rho</span>
<a name="line-361"></a><span class='hs-definition'>dropS</span> <span class='hs-varid'>n</span> <span class='hs-conid'>EmptyS</span> <span class='hs-keyglyph'>=</span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-362"></a>
<a name="line-363"></a><a name="composeS"></a><span class='hs-comment'>-- | @applySubst (ρ `composeS` σ) v == applySubst ρ (applySubst σ v)@</span>
<a name="line-364"></a><span class='hs-definition'>composeS</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Substitution</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Substitution</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Substitution</span>
<a name="line-365"></a><span class='hs-definition'>composeS</span> <span class='hs-varid'>rho</span> <span class='hs-conid'>IdS</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rho</span>
<a name="line-366"></a><span class='hs-definition'>composeS</span> <span class='hs-conid'>IdS</span> <span class='hs-varid'>sgm</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sgm</span>
<a name="line-367"></a><span class='hs-definition'>composeS</span> <span class='hs-varid'>rho</span> <span class='hs-conid'>EmptyS</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>EmptyS</span>
<a name="line-368"></a><span class='hs-definition'>composeS</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>Wk</span> <span class='hs-varid'>n</span> <span class='hs-varid'>sgm</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>composeS</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>n</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-varid'>sgm</span>
<a name="line-369"></a><span class='hs-definition'>composeS</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-varid'>u</span> <span class='hs-conop'>:#</span> <span class='hs-varid'>sgm</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>u</span> <span class='hs-conop'>:#</span> <span class='hs-varid'>composeS</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>sgm</span>
<a name="line-370"></a><span class='hs-definition'>composeS</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lift</span> <span class='hs-num'>0</span> <span class='hs-varid'>sgm</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-371"></a><span class='hs-definition'>composeS</span> <span class='hs-layout'>(</span><span class='hs-varid'>u</span> <span class='hs-conop'>:#</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lift</span> <span class='hs-varid'>n</span> <span class='hs-varid'>sgm</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>u</span> <span class='hs-conop'>:#</span> <span class='hs-varid'>composeS</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-varid'>liftS</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-comment'>-</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>sgm</span><span class='hs-layout'>)</span>
<a name="line-372"></a><span class='hs-definition'>composeS</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lift</span> <span class='hs-varid'>n</span> <span class='hs-varid'>sgm</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lookupS</span> <span class='hs-varid'>rho</span> <span class='hs-num'>0</span> <span class='hs-conop'>:#</span> <span class='hs-varid'>composeS</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-varid'>wkS</span> <span class='hs-num'>1</span> <span class='hs-layout'>(</span><span class='hs-varid'>liftS</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-comment'>-</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>sgm</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-373"></a>
<a name="line-374"></a><a name="splitS"></a><span class='hs-comment'>-- If Γ ⊢ ρ : Δ, Θ then splitS |Θ| ρ = (σ, δ), with</span>
<a name="line-375"></a><span class='hs-comment'>-- Γ ⊢ σ : Δ</span>
<a name="line-376"></a><span class='hs-comment'>-- Γ ⊢ δ : Θσ</span>
<a name="line-377"></a><span class='hs-definition'>splitS</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Substitution</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Substitution</span><span class='hs-layout'>,</span> <span class='hs-conid'>Substitution</span><span class='hs-layout'>)</span>
<a name="line-378"></a><span class='hs-definition'>splitS</span> <span class='hs-num'>0</span> <span class='hs-varid'>rho</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>rho</span><span class='hs-layout'>,</span> <span class='hs-conid'>EmptyS</span><span class='hs-layout'>)</span>
<a name="line-379"></a><span class='hs-definition'>splitS</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-varid'>u</span> <span class='hs-conop'>:#</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>id</span> <span class='hs-varop'>***</span> <span class='hs-layout'>(</span><span class='hs-varid'>u</span> <span class='hs-conop'>:#</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>splitS</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-comment'>-</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>rho</span>
<a name="line-380"></a><span class='hs-definition'>splitS</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lift</span> <span class='hs-num'>0</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-381"></a><span class='hs-definition'>splitS</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-conid'>Wk</span> <span class='hs-varid'>m</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>wkS</span> <span class='hs-varid'>m</span> <span class='hs-varop'>***</span> <span class='hs-varid'>wkS</span> <span class='hs-varid'>m</span> <span class='hs-varop'>$</span> <span class='hs-varid'>splitS</span> <span class='hs-varid'>n</span> <span class='hs-varid'>rho</span>
<a name="line-382"></a><span class='hs-definition'>splitS</span> <span class='hs-varid'>n</span> <span class='hs-conid'>IdS</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>raiseS</span> <span class='hs-varid'>n</span><span class='hs-layout'>,</span> <span class='hs-varid'>liftS</span> <span class='hs-varid'>n</span> <span class='hs-conid'>EmptyS</span><span class='hs-layout'>)</span>
<a name="line-383"></a><span class='hs-definition'>splitS</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lift</span> <span class='hs-varid'>m</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>wkS</span> <span class='hs-num'>1</span> <span class='hs-varop'>***</span> <span class='hs-varid'>liftS</span> <span class='hs-num'>1</span> <span class='hs-varop'>$</span> <span class='hs-varid'>splitS</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-comment'>-</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>liftS</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span> <span class='hs-comment'>-</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span>
<a name="line-384"></a><span class='hs-definition'>splitS</span> <span class='hs-varid'>n</span> <span class='hs-conid'>EmptyS</span> <span class='hs-keyglyph'>=</span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-385"></a>
<a name="line-386"></a><span class='hs-keyword'>infixr</span> <span class='hs-num'>4</span> <span class='hs-varop'>++#</span>
<a name="line-387"></a>
<a name="line-388"></a><a name="++%23"></a><span class='hs-layout'>(</span><span class='hs-varop'>++#</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Term</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Substitution</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Substitution</span>
<a name="line-389"></a><a name="us"></a><span class='hs-definition'>us</span> <span class='hs-varop'>++#</span> <span class='hs-varid'>rho</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldr</span> <span class='hs-layout'>(</span><span class='hs-conop'>:#</span><span class='hs-layout'>)</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>us</span>
<a name="line-390"></a>
<a name="line-391"></a><a name="parallelS"></a><span class='hs-definition'>parallelS</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Term</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Substitution</span>
<a name="line-392"></a><span class='hs-definition'>parallelS</span> <span class='hs-varid'>us</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>us</span> <span class='hs-varop'>++#</span> <span class='hs-varid'>idS</span>
<a name="line-393"></a>
<a name="line-394"></a><a name="lookupS"></a><span class='hs-definition'>lookupS</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Substitution</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Nat</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Term</span>
<a name="line-395"></a><span class='hs-definition'>lookupS</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>rho</span> <span class='hs-keyword'>of</span>
<a name="line-396"></a> <span class='hs-conid'>IdS</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>var</span> <span class='hs-varid'>i</span>
<a name="line-397"></a> <span class='hs-conid'>Wk</span> <span class='hs-varid'>n</span> <span class='hs-conid'>IdS</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>let</span> <span class='hs-varid'>j</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>i</span> <span class='hs-varop'>+</span> <span class='hs-varid'>n</span> <span class='hs-keyword'>in</span>
<a name="line-398"></a> <span class='hs-keyword'>if</span> <span class='hs-varid'>j</span> <span class='hs-varop'><</span> <span class='hs-num'>0</span> <span class='hs-keyword'>then</span> <span class='hs-sel'>__IMPOSSIBLE__</span> <span class='hs-keyword'>else</span> <span class='hs-varid'>var</span> <span class='hs-varid'>j</span>
<a name="line-399"></a> <span class='hs-conid'>Wk</span> <span class='hs-varid'>n</span> <span class='hs-varid'>rho</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>applySubst</span> <span class='hs-layout'>(</span><span class='hs-varid'>raiseS</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>lookupS</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span>
<a name="line-400"></a> <span class='hs-varid'>u</span> <span class='hs-conop'>:#</span> <span class='hs-varid'>rho</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>i</span> <span class='hs-varop'>==</span> <span class='hs-num'>0</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>u</span>
<a name="line-401"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>i</span> <span class='hs-varop'><</span> <span class='hs-num'>0</span> <span class='hs-keyglyph'>-></span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-402"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>lookupS</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-comment'>-</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span>
<a name="line-403"></a> <span class='hs-conid'>Lift</span> <span class='hs-varid'>n</span> <span class='hs-varid'>rho</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>i</span> <span class='hs-varop'><</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>var</span> <span class='hs-varid'>i</span>
<a name="line-404"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>raise</span> <span class='hs-varid'>n</span> <span class='hs-varop'>$</span> <span class='hs-varid'>lookupS</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-comment'>-</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-405"></a> <span class='hs-conid'>EmptyS</span> <span class='hs-keyglyph'>-></span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-406"></a>
<a name="line-407"></a><span class='hs-comment'>-- | Apply a substitution.</span>
<a name="line-408"></a>
<a name="line-409"></a><span class='hs-comment'>-- For terms:</span>
<a name="line-410"></a><span class='hs-comment'>--</span>
<a name="line-411"></a><span class='hs-comment'>-- Γ ⊢ ρ : Δ</span>
<a name="line-412"></a><span class='hs-comment'>-- Δ ⊢ t : σ</span>
<a name="line-413"></a><span class='hs-comment'>-- -----------</span>
<a name="line-414"></a><span class='hs-comment'>-- Γ ⊢ tρ : σρ</span>
<a name="line-415"></a>
<a name="line-416"></a><a name="Nat"></a><span class='hs-keyword'>class</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>t</span> <span class='hs-keyword'>where</span>
<a name="line-417"></a> <span class='hs-varid'>applySubst</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Substitution</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span>
<a name="line-418"></a>
<a name="line-419"></a><a name="raise"></a><span class='hs-definition'>raise</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Nat</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span>
<a name="line-420"></a><span class='hs-definition'>raise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>raiseFrom</span> <span class='hs-num'>0</span>
<a name="line-421"></a>
<a name="line-422"></a><a name="raiseFrom"></a><span class='hs-definition'>raiseFrom</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Nat</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Nat</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span>
<a name="line-423"></a><span class='hs-definition'>raiseFrom</span> <span class='hs-varid'>n</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applySubst</span> <span class='hs-layout'>(</span><span class='hs-varid'>liftS</span> <span class='hs-varid'>n</span> <span class='hs-varop'>$</span> <span class='hs-varid'>raiseS</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span>
<a name="line-424"></a>
<a name="line-425"></a><a name="subst"></a><span class='hs-definition'>subst</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span>
<a name="line-426"></a><span class='hs-definition'>subst</span> <span class='hs-varid'>u</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>substUnder</span> <span class='hs-num'>0</span> <span class='hs-varid'>u</span> <span class='hs-varid'>t</span>
<a name="line-427"></a>
<a name="line-428"></a><a name="substUnder"></a><span class='hs-definition'>substUnder</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Nat</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span>
<a name="line-429"></a><span class='hs-definition'>substUnder</span> <span class='hs-varid'>n</span> <span class='hs-varid'>u</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applySubst</span> <span class='hs-layout'>(</span><span class='hs-varid'>liftS</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-varid'>singletonS</span> <span class='hs-varid'>u</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-430"></a>
<a name="line-431"></a><a name="instance%20Subst%20Substitution"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-conid'>Substitution</span> <span class='hs-keyword'>where</span>
<a name="line-432"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>sgm</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>composeS</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>sgm</span>
<a name="line-433"></a>
<a name="line-434"></a><a name="instance%20Subst%20Term"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-conid'>Term</span> <span class='hs-keyword'>where</span>
<a name="line-435"></a> <span class='hs-varid'>applySubst</span> <span class='hs-conid'>IdS</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>t</span>
<a name="line-436"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>t</span> <span class='hs-keyword'>of</span>
<a name="line-437"></a> <span class='hs-conid'>Var</span> <span class='hs-varid'>i</span> <span class='hs-varid'>vs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>lookupS</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>i</span> <span class='hs-varop'>`apply`</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>vs</span>
<a name="line-438"></a> <span class='hs-conid'>Lam</span> <span class='hs-varid'>h</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Lam</span> <span class='hs-varid'>h</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>m</span>
<a name="line-439"></a> <span class='hs-conid'>Def</span> <span class='hs-varid'>c</span> <span class='hs-varid'>vs</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Def</span> <span class='hs-varid'>c</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>vs</span>
<a name="line-440"></a> <span class='hs-conid'>Con</span> <span class='hs-varid'>c</span> <span class='hs-varid'>vs</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Con</span> <span class='hs-varid'>c</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>vs</span>
<a name="line-441"></a> <span class='hs-conid'>MetaV</span> <span class='hs-varid'>x</span> <span class='hs-varid'>vs</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>MetaV</span> <span class='hs-varid'>x</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>vs</span>
<a name="line-442"></a> <span class='hs-conid'>Lit</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Lit</span> <span class='hs-varid'>l</span>
<a name="line-443"></a> <span class='hs-conid'>Level</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>levelTm</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>l</span>
<a name="line-444"></a> <span class='hs-conid'>Pi</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>uncurry</span> <span class='hs-conid'>Pi</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-445"></a> <span class='hs-conid'>Sort</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>sortTm</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>s</span>
<a name="line-446"></a> <span class='hs-conid'>Shared</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Shared</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>p</span>
<a name="line-447"></a> <span class='hs-conid'>DontCare</span> <span class='hs-varid'>mv</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>DontCare</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>mv</span>
<a name="line-448"></a>
<a name="line-449"></a><a name="instance%20Subst%20(Ptr%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Subst</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ptr</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-450"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span>
<a name="line-451"></a>
<a name="line-452"></a><a name="instance%20Subst%20Type"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-conid'>Type</span> <span class='hs-keyword'>where</span>
<a name="line-453"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>El</span> <span class='hs-varid'>s</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>s</span> <span class='hs-varop'>`El`</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>t</span>
<a name="line-454"></a>
<a name="line-455"></a><a name="instance%20Subst%20Sort"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-conid'>Sort</span> <span class='hs-keyword'>where</span>
<a name="line-456"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>of</span>
<a name="line-457"></a> <span class='hs-conid'>Type</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>levelSort</span> <span class='hs-varop'>$</span> <span class='hs-varid'>sub</span> <span class='hs-varid'>n</span>
<a name="line-458"></a> <span class='hs-conid'>Prop</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Prop</span>
<a name="line-459"></a> <span class='hs-conid'>Inf</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Inf</span>
<a name="line-460"></a> <span class='hs-conid'>DLub</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>DLub</span> <span class='hs-layout'>(</span><span class='hs-varid'>sub</span> <span class='hs-varid'>s1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>sub</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span>
<a name="line-461"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>sub</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>x</span>
<a name="line-462"></a>
<a name="line-463"></a><a name="instance%20Subst%20Level"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-conid'>Level</span> <span class='hs-keyword'>where</span>
<a name="line-464"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>Max</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Max</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-keyword'>as</span>
<a name="line-465"></a>
<a name="line-466"></a><a name="instance%20Subst%20PlusLevel"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-conid'>PlusLevel</span> <span class='hs-keyword'>where</span>
<a name="line-467"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>l</span><span class='hs-keyglyph'>@</span><span class='hs-conid'>ClosedLevel</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span>
<a name="line-468"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>Plus</span> <span class='hs-varid'>n</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Plus</span> <span class='hs-varid'>n</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>l</span>
<a name="line-469"></a>
<a name="line-470"></a><a name="instance%20Subst%20LevelAtom"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-conid'>LevelAtom</span> <span class='hs-keyword'>where</span>
<a name="line-471"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>MetaLevel</span> <span class='hs-varid'>m</span> <span class='hs-varid'>vs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>MetaLevel</span> <span class='hs-varid'>m</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>vs</span>
<a name="line-472"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>BlockedLevel</span> <span class='hs-varid'>m</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>BlockedLevel</span> <span class='hs-varid'>m</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>v</span>
<a name="line-473"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>NeutralLevel</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>UnreducedLevel</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>v</span>
<a name="line-474"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>UnreducedLevel</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>UnreducedLevel</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>v</span>
<a name="line-475"></a>
<a name="line-476"></a><a name="instance%20Subst%20Pattern"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-conid'>Pattern</span> <span class='hs-keyword'>where</span>
<a name="line-477"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>p</span> <span class='hs-keyword'>of</span>
<a name="line-478"></a> <span class='hs-conid'>VarP</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>VarP</span> <span class='hs-varid'>s</span>
<a name="line-479"></a> <span class='hs-conid'>LitP</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>LitP</span> <span class='hs-varid'>l</span>
<a name="line-480"></a> <span class='hs-conid'>ConP</span> <span class='hs-varid'>c</span> <span class='hs-varid'>mt</span> <span class='hs-varid'>ps</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>ConP</span> <span class='hs-varid'>c</span> <span class='hs-layout'>(</span><span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>mt</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>ps</span>
<a name="line-481"></a> <span class='hs-conid'>DotP</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>DotP</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>t</span>
<a name="line-482"></a>
<a name="line-483"></a><a name="instance%20Subst%20(Blocked%20t)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Subst</span> <span class='hs-layout'>(</span><span class='hs-conid'>Blocked</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-484"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span>
<a name="line-485"></a>
<a name="line-486"></a><a name="instance%20Subst%20DisplayForm"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-conid'>DisplayForm</span> <span class='hs-keyword'>where</span>
<a name="line-487"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>Display</span> <span class='hs-varid'>n</span> <span class='hs-varid'>ps</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-488"></a> <span class='hs-conid'>Display</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-varid'>applySubst</span> <span class='hs-layout'>(</span><span class='hs-varid'>liftS</span> <span class='hs-num'>1</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-varid'>ps</span><span class='hs-layout'>)</span>
<a name="line-489"></a> <span class='hs-layout'>(</span><span class='hs-varid'>applySubst</span> <span class='hs-layout'>(</span><span class='hs-varid'>liftS</span> <span class='hs-varid'>n</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span>
<a name="line-490"></a>
<a name="line-491"></a><a name="instance%20Subst%20DisplayTerm"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-conid'>DisplayTerm</span> <span class='hs-keyword'>where</span>
<a name="line-492"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>DTerm</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>DTerm</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>v</span>
<a name="line-493"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>DDot</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>DDot</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>v</span>
<a name="line-494"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>DCon</span> <span class='hs-varid'>c</span> <span class='hs-varid'>vs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>DCon</span> <span class='hs-varid'>c</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>vs</span>
<a name="line-495"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>DDef</span> <span class='hs-varid'>c</span> <span class='hs-varid'>vs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>DDef</span> <span class='hs-varid'>c</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>vs</span>
<a name="line-496"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>DWithApp</span> <span class='hs-varid'>vs</span> <span class='hs-varid'>ws</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>uncurry</span> <span class='hs-conid'>DWithApp</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-varid'>vs</span><span class='hs-layout'>,</span> <span class='hs-varid'>ws</span><span class='hs-layout'>)</span>
<a name="line-497"></a>
<a name="line-498"></a><a name="instance%20Subst%20(Tele%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Subst</span> <span class='hs-layout'>(</span><span class='hs-conid'>Tele</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-499"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-conid'>EmptyTel</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>EmptyTel</span>
<a name="line-500"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>ExtendTel</span> <span class='hs-varid'>t</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>uncurry</span> <span class='hs-conid'>ExtendTel</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span>
<a name="line-501"></a>
<a name="line-502"></a><a name="instance%20Subst%20Constraint"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-conid'>Constraint</span> <span class='hs-keyword'>where</span>
<a name="line-503"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>c</span> <span class='hs-keyword'>of</span>
<a name="line-504"></a> <span class='hs-conid'>ValueCmp</span> <span class='hs-varid'>cmp</span> <span class='hs-varid'>a</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>ValueCmp</span> <span class='hs-varid'>cmp</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>u</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span>
<a name="line-505"></a> <span class='hs-conid'>ElimCmp</span> <span class='hs-varid'>ps</span> <span class='hs-varid'>a</span> <span class='hs-varid'>v</span> <span class='hs-varid'>e1</span> <span class='hs-varid'>e2</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>ElimCmp</span> <span class='hs-varid'>ps</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>e1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>e2</span><span class='hs-layout'>)</span>
<a name="line-506"></a> <span class='hs-conid'>TypeCmp</span> <span class='hs-varid'>cmp</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TypeCmp</span> <span class='hs-varid'>cmp</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-507"></a> <span class='hs-conid'>TelCmp</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>cmp</span> <span class='hs-varid'>tel1</span> <span class='hs-varid'>tel2</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TelCmp</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>cmp</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>tel1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>tel2</span><span class='hs-layout'>)</span>
<a name="line-508"></a> <span class='hs-conid'>SortCmp</span> <span class='hs-varid'>cmp</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>SortCmp</span> <span class='hs-varid'>cmp</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>s1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span>
<a name="line-509"></a> <span class='hs-conid'>LevelCmp</span> <span class='hs-varid'>cmp</span> <span class='hs-varid'>l1</span> <span class='hs-varid'>l2</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>LevelCmp</span> <span class='hs-varid'>cmp</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>l1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>l2</span><span class='hs-layout'>)</span>
<a name="line-510"></a> <span class='hs-conid'>Guarded</span> <span class='hs-varid'>c</span> <span class='hs-varid'>cs</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Guarded</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-varid'>cs</span>
<a name="line-511"></a> <span class='hs-conid'>IsEmpty</span> <span class='hs-varid'>r</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IsEmpty</span> <span class='hs-varid'>r</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-512"></a> <span class='hs-conid'>FindInScope</span> <span class='hs-varid'>m</span> <span class='hs-varid'>cands</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>FindInScope</span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-varid'>rf</span> <span class='hs-varid'>cands</span><span class='hs-layout'>)</span>
<a name="line-513"></a> <span class='hs-conid'>UnBlock</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span>
<a name="line-514"></a> <span class='hs-keyword'>where</span>
<a name="line-515"></a> <span class='hs-varid'>rf</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>x</span>
<a name="line-516"></a>
<a name="line-517"></a><a name="instance%20Subst%20Elim"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-conid'>Elim</span> <span class='hs-keyword'>where</span>
<a name="line-518"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>e</span> <span class='hs-keyword'>of</span>
<a name="line-519"></a> <span class='hs-conid'>Apply</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Apply</span> <span class='hs-layout'>(</span><span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span>
<a name="line-520"></a> <span class='hs-conid'>Proj</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>e</span>
<a name="line-521"></a>
<a name="line-522"></a><a name="instance%20Subst%20(Abs%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Subst</span> <span class='hs-layout'>(</span><span class='hs-conid'>Abs</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-523"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>Abs</span> <span class='hs-varid'>x</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Abs</span> <span class='hs-varid'>x</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-layout'>(</span><span class='hs-varid'>liftS</span> <span class='hs-num'>1</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span>
<a name="line-524"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>NoAbs</span> <span class='hs-varid'>x</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NoAbs</span> <span class='hs-varid'>x</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>a</span>
<a name="line-525"></a>
<a name="line-526"></a><a name="instance%20Subst%20(Arg%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Subst</span> <span class='hs-layout'>(</span><span class='hs-conid'>Arg</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-527"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span>
<a name="line-528"></a>
<a name="line-529"></a><a name="instance%20Subst%20(Dom%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Subst</span> <span class='hs-layout'>(</span><span class='hs-conid'>Dom</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-530"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span>
<a name="line-531"></a>
<a name="line-532"></a><a name="instance%20Subst%20(Maybe%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Subst</span> <span class='hs-layout'>(</span><span class='hs-conid'>Maybe</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-533"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span>
<a name="line-534"></a>
<a name="line-535"></a><a name="instance%20Subst%20%5ba%5d"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Subst</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyword'>where</span>
<a name="line-536"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span>
<a name="line-537"></a>
<a name="line-538"></a><a name="instance%20Subst%20()"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-conid'>()</span> <span class='hs-keyword'>where</span>
<a name="line-539"></a> <span class='hs-varid'>applySubst</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>()</span>
<a name="line-540"></a>
<a name="line-541"></a><a name="instance%20Subst%20(a,b)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Subst</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Subst</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-542"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-543"></a>
<a name="line-544"></a><a name="instance%20Subst%20ClauseBody"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Subst</span> <span class='hs-conid'>ClauseBody</span> <span class='hs-keyword'>where</span>
<a name="line-545"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>Body</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Body</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>t</span>
<a name="line-546"></a> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bind</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Bind</span> <span class='hs-varop'>$</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>b</span>
<a name="line-547"></a> <span class='hs-varid'>applySubst</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>NoBody</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NoBody</span>
<a name="line-548"></a>
<a name="line-549"></a><a name="TelV"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>TelV</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>TelV</span> <span class='hs-layout'>(</span><span class='hs-conid'>Tele</span> <span class='hs-layout'>(</span><span class='hs-conid'>Dom</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span>
<a name="line-550"></a> <span class='hs-keyword'>deriving</span> <span class='hs-layout'>(</span><span class='hs-conid'>Typeable</span><span class='hs-layout'>,</span> <span class='hs-conid'>Show</span><span class='hs-layout'>,</span> <span class='hs-conid'>Eq</span><span class='hs-layout'>,</span> <span class='hs-conid'>Ord</span><span class='hs-layout'>,</span> <span class='hs-conid'>Functor</span><span class='hs-layout'>)</span>
<a name="line-551"></a>
<a name="line-552"></a><a name="TelView"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>TelView</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>TelV</span> <span class='hs-conid'>Type</span>
<a name="line-553"></a>
<a name="line-554"></a><a name="telFromList"></a><span class='hs-definition'>telFromList</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Dom</span> <span class='hs-layout'>(</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span> <span class='hs-conid'>Type</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Telescope</span>
<a name="line-555"></a><span class='hs-definition'>telFromList</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldr</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-conid'>Dom</span> <span class='hs-varid'>h</span> <span class='hs-varid'>r</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>ExtendTel</span> <span class='hs-layout'>(</span><span class='hs-conid'>Dom</span> <span class='hs-varid'>h</span> <span class='hs-varid'>r</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Abs</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-conid'>EmptyTel</span>
<a name="line-556"></a>
<a name="line-557"></a><a name="telToList"></a><span class='hs-definition'>telToList</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Telescope</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Dom</span> <span class='hs-layout'>(</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span> <span class='hs-conid'>Type</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-558"></a><span class='hs-definition'>telToList</span> <span class='hs-conid'>EmptyTel</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-559"></a><span class='hs-definition'>telToList</span> <span class='hs-layout'>(</span><span class='hs-conid'>ExtendTel</span> <span class='hs-varid'>arg</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-conid'>(,)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>absName</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-varid'>arg</span> <span class='hs-conop'>:</span> <span class='hs-varid'>telToList</span> <span class='hs-layout'>(</span><span class='hs-varid'>absBody</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span>
<a name="line-560"></a>
<a name="line-561"></a><a name="telView'"></a><span class='hs-definition'>telView'</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Type</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TelView</span>
<a name="line-562"></a><span class='hs-definition'>telView'</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>ignoreSharing</span> <span class='hs-varop'>$</span> <span class='hs-varid'>unEl</span> <span class='hs-varid'>t</span> <span class='hs-keyword'>of</span>
<a name="line-563"></a> <span class='hs-conid'>Pi</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>absV</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-varid'>absName</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>telView'</span> <span class='hs-layout'>(</span><span class='hs-varid'>absBody</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-564"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TelV</span> <span class='hs-conid'>EmptyTel</span> <span class='hs-varid'>t</span>
<a name="line-565"></a> <span class='hs-keyword'>where</span>
<a name="line-566"></a> <span class='hs-varid'>absV</span> <span class='hs-varid'>a</span> <span class='hs-varid'>x</span> <span class='hs-layout'>(</span><span class='hs-conid'>TelV</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>TelV</span> <span class='hs-layout'>(</span><span class='hs-conid'>ExtendTel</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-conid'>Abs</span> <span class='hs-varid'>x</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>t</span>
<a name="line-567"></a>
<a name="line-568"></a><a name="mkPi"></a><span class='hs-comment'>-- | @mkPi dom t = telePi (telFromList [dom]) t@</span>
<a name="line-569"></a><span class='hs-definition'>mkPi</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Dom</span> <span class='hs-layout'>(</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span> <span class='hs-conid'>Type</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Type</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Type</span>
<a name="line-570"></a><span class='hs-definition'>mkPi</span> <span class='hs-layout'>(</span><span class='hs-conid'>Dom</span> <span class='hs-varid'>h</span> <span class='hs-varid'>r</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>el</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Pi</span> <span class='hs-layout'>(</span><span class='hs-conid'>Dom</span> <span class='hs-varid'>h</span> <span class='hs-varid'>r</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>mkAbs</span> <span class='hs-varid'>x</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-571"></a> <span class='hs-keyword'>where</span>
<a name="line-572"></a> <span class='hs-varid'>el</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>El</span> <span class='hs-varop'>$</span> <span class='hs-varid'>dLub</span> <span class='hs-layout'>(</span><span class='hs-varid'>getSort</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Abs</span> <span class='hs-varid'>x</span> <span class='hs-layout'>(</span><span class='hs-varid'>getSort</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- dLub checks x freeIn</span>
<a name="line-573"></a>
<a name="line-574"></a><a name="telePi"></a><span class='hs-definition'>telePi</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Telescope</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Type</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Type</span>
<a name="line-575"></a><span class='hs-definition'>telePi</span> <span class='hs-conid'>EmptyTel</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>t</span>
<a name="line-576"></a><span class='hs-definition'>telePi</span> <span class='hs-layout'>(</span><span class='hs-conid'>ExtendTel</span> <span class='hs-varid'>u</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>el</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Pi</span> <span class='hs-varid'>u</span> <span class='hs-layout'>(</span><span class='hs-varid'>reAbs</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-577"></a> <span class='hs-keyword'>where</span>
<a name="line-578"></a> <span class='hs-varid'>el</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>El</span> <span class='hs-layout'>(</span><span class='hs-varid'>dLub</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span>
<a name="line-579"></a> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>flip</span> <span class='hs-varid'>telePi</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-varid'>tel</span>
<a name="line-580"></a> <span class='hs-varid'>s1</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>getSort</span> <span class='hs-varop'>$</span> <span class='hs-varid'>unDom</span> <span class='hs-varid'>u</span>
<a name="line-581"></a> <span class='hs-varid'>s2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-varid'>getSort</span> <span class='hs-varid'>b</span>
<a name="line-582"></a>
<a name="line-583"></a><a name="telePi_"></a><span class='hs-comment'>-- | Everything will be a pi.</span>
<a name="line-584"></a><span class='hs-definition'>telePi_</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Telescope</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Type</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Type</span>
<a name="line-585"></a><span class='hs-definition'>telePi_</span> <span class='hs-conid'>EmptyTel</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>t</span>
<a name="line-586"></a><span class='hs-definition'>telePi_</span> <span class='hs-layout'>(</span><span class='hs-conid'>ExtendTel</span> <span class='hs-varid'>u</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>el</span> <span class='hs-varop'>$</span> <span class='hs-conid'>Pi</span> <span class='hs-varid'>u</span> <span class='hs-varid'>b</span>
<a name="line-587"></a> <span class='hs-keyword'>where</span>
<a name="line-588"></a> <span class='hs-varid'>el</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>El</span> <span class='hs-layout'>(</span><span class='hs-varid'>dLub</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span>
<a name="line-589"></a> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>flip</span> <span class='hs-varid'>telePi_</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-varid'>tel</span>
<a name="line-590"></a> <span class='hs-varid'>s1</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>getSort</span> <span class='hs-varop'>$</span> <span class='hs-varid'>unDom</span> <span class='hs-varid'>u</span>
<a name="line-591"></a> <span class='hs-varid'>s2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fmap</span> <span class='hs-varid'>getSort</span> <span class='hs-varid'>b</span>
<a name="line-592"></a>
<a name="line-593"></a><a name="teleLam"></a><span class='hs-definition'>teleLam</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Telescope</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Term</span>
<a name="line-594"></a><span class='hs-definition'>teleLam</span> <span class='hs-conid'>EmptyTel</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>t</span>
<a name="line-595"></a><span class='hs-definition'>teleLam</span> <span class='hs-layout'>(</span><span class='hs-conid'>ExtendTel</span> <span class='hs-varid'>u</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Lam</span> <span class='hs-layout'>(</span><span class='hs-varid'>domHiding</span> <span class='hs-varid'>u</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>flip</span> <span class='hs-varid'>teleLam</span> <span class='hs-varid'>t</span> <span class='hs-varop'><$></span> <span class='hs-varid'>tel</span>
<a name="line-596"></a>
<a name="line-597"></a><a name="dLub"></a><span class='hs-comment'>-- | Dependent least upper bound, to assign a level to expressions</span>
<a name="line-598"></a><span class='hs-comment'>-- like @forall i -> Set i@.</span>
<a name="line-599"></a><span class='hs-comment'>--</span>
<a name="line-600"></a><span class='hs-comment'>-- @dLub s1 \i.s2 = \omega@ if @i@ appears in the rigid variables of @s2@.</span>
<a name="line-601"></a><span class='hs-definition'>dLub</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Sort</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Abs</span> <span class='hs-conid'>Sort</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Sort</span>
<a name="line-602"></a><span class='hs-definition'>dLub</span> <span class='hs-varid'>s1</span> <span class='hs-layout'>(</span><span class='hs-conid'>NoAbs</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sLub</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span>
<a name="line-603"></a><span class='hs-definition'>dLub</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>b</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-conid'>Abs</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>occurrence</span> <span class='hs-num'>0</span> <span class='hs-varop'>$</span> <span class='hs-varid'>freeVars</span> <span class='hs-varid'>s2</span> <span class='hs-keyword'>of</span>
<a name="line-604"></a> <span class='hs-conid'>Flexible</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>DLub</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>b</span>
<a name="line-605"></a> <span class='hs-conid'>Irrelevantly</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>DLub</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>b</span>
<a name="line-606"></a> <span class='hs-conid'>NoOccurrence</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>sLub</span> <span class='hs-varid'>s1</span> <span class='hs-layout'>(</span><span class='hs-varid'>absApp</span> <span class='hs-varid'>b</span> <span class='hs-sel'>__IMPOSSIBLE__</span><span class='hs-layout'>)</span>
<a name="line-607"></a> <span class='hs-conid'>Free</span><span class='hs-varop'>.</span><span class='hs-conid'>Unused</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>sLub</span> <span class='hs-varid'>s1</span> <span class='hs-layout'>(</span><span class='hs-varid'>absApp</span> <span class='hs-varid'>b</span> <span class='hs-sel'>__IMPOSSIBLE__</span><span class='hs-layout'>)</span>
<a name="line-608"></a> <span class='hs-conid'>StronglyRigid</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Inf</span>
<a name="line-609"></a> <span class='hs-conid'>WeaklyRigid</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Inf</span>
<a name="line-610"></a>
<a name="line-611"></a><span class='hs-comment'>-- Functions on abstractions ----------------------------------------------</span>
<a name="line-612"></a><span class='hs-comment'>-- and things we couldn't do before we could define 'absBody'</span>
<a name="line-613"></a>
<a name="line-614"></a><a name="absApp"></a><span class='hs-comment'>-- | Instantiate an abstraction</span>
<a name="line-615"></a><span class='hs-definition'>absApp</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Abs</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span>
<a name="line-616"></a><span class='hs-definition'>absApp</span> <span class='hs-layout'>(</span><span class='hs-conid'>Abs</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-varid'>u</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>subst</span> <span class='hs-varid'>u</span> <span class='hs-varid'>v</span>
<a name="line-617"></a><span class='hs-definition'>absApp</span> <span class='hs-layout'>(</span><span class='hs-conid'>NoAbs</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>v</span>
<a name="line-618"></a>
<a name="line-619"></a><a name="absBody"></a><span class='hs-definition'>absBody</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Abs</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>t</span>
<a name="line-620"></a><span class='hs-definition'>absBody</span> <span class='hs-layout'>(</span><span class='hs-conid'>Abs</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>v</span>
<a name="line-621"></a><span class='hs-definition'>absBody</span> <span class='hs-layout'>(</span><span class='hs-conid'>NoAbs</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>raise</span> <span class='hs-num'>1</span> <span class='hs-varid'>v</span>
<a name="line-622"></a>
<a name="line-623"></a><a name="mkAbs"></a><span class='hs-definition'>mkAbs</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Subst</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Free</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>String</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Abs</span> <span class='hs-varid'>a</span>
<a name="line-624"></a><span class='hs-definition'>mkAbs</span> <span class='hs-varid'>x</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>|</span> <span class='hs-num'>0</span> <span class='hs-varop'>`freeIn`</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Abs</span> <span class='hs-varid'>x</span> <span class='hs-varid'>v</span>
<a name="line-625"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NoAbs</span> <span class='hs-varid'>x</span> <span class='hs-layout'>(</span><span class='hs-varid'>raise</span> <span class='hs-layout'>(</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span>
<a name="line-626"></a>
<a name="line-627"></a><a name="reAbs"></a><span class='hs-definition'>reAbs</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Subst</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Free</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Abs</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Abs</span> <span class='hs-varid'>a</span>
<a name="line-628"></a><span class='hs-definition'>reAbs</span> <span class='hs-layout'>(</span><span class='hs-conid'>NoAbs</span> <span class='hs-varid'>x</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NoAbs</span> <span class='hs-varid'>x</span> <span class='hs-varid'>v</span>
<a name="line-629"></a><span class='hs-definition'>reAbs</span> <span class='hs-layout'>(</span><span class='hs-conid'>Abs</span> <span class='hs-varid'>x</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkAbs</span> <span class='hs-varid'>x</span> <span class='hs-varid'>v</span>
<a name="line-630"></a>
<a name="line-631"></a><a name="underAbs"></a><span class='hs-comment'>-- | @underAbs k a b@ applies @k@ to @a@ and the content of</span>
<a name="line-632"></a><span class='hs-comment'>-- abstraction @b@ and puts the abstraction back.</span>
<a name="line-633"></a><span class='hs-comment'>-- @a@ is raised if abstraction was proper such that</span>
<a name="line-634"></a><span class='hs-comment'>-- at point of application of @k@ and the content of @b@</span>
<a name="line-635"></a><span class='hs-comment'>-- are at the same context.</span>
<a name="line-636"></a><span class='hs-comment'>-- Precondition: @a@ and @b@ are at the same context at call time.</span>
<a name="line-637"></a><span class='hs-definition'>underAbs</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Abs</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Abs</span> <span class='hs-varid'>b</span>
<a name="line-638"></a><span class='hs-definition'>underAbs</span> <span class='hs-varid'>cont</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>b</span> <span class='hs-keyword'>of</span>
<a name="line-639"></a> <span class='hs-conid'>Abs</span> <span class='hs-varid'>x</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Abs</span> <span class='hs-varid'>x</span> <span class='hs-varop'>$</span> <span class='hs-varid'>cont</span> <span class='hs-layout'>(</span><span class='hs-varid'>raise</span> <span class='hs-num'>1</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>t</span>
<a name="line-640"></a> <span class='hs-conid'>NoAbs</span> <span class='hs-varid'>x</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>NoAbs</span> <span class='hs-varid'>x</span> <span class='hs-varop'>$</span> <span class='hs-varid'>cont</span> <span class='hs-varid'>a</span> <span class='hs-varid'>t</span>
<a name="line-641"></a>
<a name="line-642"></a><a name="underLambdas"></a><span class='hs-comment'>-- | @underLambdas n k a b@ drops @n@ initial 'Lam's from @b@,</span>
<a name="line-643"></a><span class='hs-comment'>-- performs operation @k@ on @a@ and the body of @b@,</span>
<a name="line-644"></a><span class='hs-comment'>-- and puts the 'Lam's back. @a@ is raised correctly</span>
<a name="line-645"></a><span class='hs-comment'>-- according to the number of abstractions.</span>
<a name="line-646"></a><span class='hs-definition'>underLambdas</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Subst</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Term</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Term</span>
<a name="line-647"></a><span class='hs-definition'>underLambdas</span> <span class='hs-varid'>n</span> <span class='hs-varid'>cont</span> <span class='hs-varid'>a</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>loop</span> <span class='hs-varid'>n</span> <span class='hs-varid'>a</span> <span class='hs-varid'>v</span> <span class='hs-keyword'>where</span>
<a name="line-648"></a> <span class='hs-varid'>loop</span> <span class='hs-num'>0</span> <span class='hs-varid'>a</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cont</span> <span class='hs-varid'>a</span> <span class='hs-varid'>v</span>
<a name="line-649"></a> <span class='hs-varid'>loop</span> <span class='hs-varid'>n</span> <span class='hs-varid'>a</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>ignoreSharing</span> <span class='hs-varid'>v</span> <span class='hs-keyword'>of</span>
<a name="line-650"></a> <span class='hs-conid'>Lam</span> <span class='hs-varid'>h</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Lam</span> <span class='hs-varid'>h</span> <span class='hs-varop'>$</span> <span class='hs-varid'>underAbs</span> <span class='hs-layout'>(</span><span class='hs-varid'>loop</span> <span class='hs-varop'>$</span> <span class='hs-varid'>n</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-651"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-652"></a>
<a name="line-653"></a><span class='hs-keyword'>deriving</span> <span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Subst</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Eq</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Eq</span> <span class='hs-layout'>(</span><span class='hs-conid'>Tele</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-654"></a><span class='hs-keyword'>deriving</span> <span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Subst</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Ord</span> <span class='hs-layout'>(</span><span class='hs-conid'>Tele</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-655"></a>
<a name="line-656"></a><span class='hs-keyword'>deriving</span> <span class='hs-keyword'>instance</span> <span class='hs-conid'>Eq</span> <span class='hs-conid'>Sort</span>
<a name="line-657"></a><span class='hs-keyword'>deriving</span> <span class='hs-keyword'>instance</span> <span class='hs-conid'>Ord</span> <span class='hs-conid'>Sort</span>
<a name="line-658"></a><span class='hs-keyword'>deriving</span> <span class='hs-keyword'>instance</span> <span class='hs-conid'>Eq</span> <span class='hs-conid'>Type</span>
<a name="line-659"></a><span class='hs-keyword'>deriving</span> <span class='hs-keyword'>instance</span> <span class='hs-conid'>Ord</span> <span class='hs-conid'>Type</span>
<a name="line-660"></a><span class='hs-keyword'>deriving</span> <span class='hs-keyword'>instance</span> <span class='hs-conid'>Eq</span> <span class='hs-conid'>Level</span>
<a name="line-661"></a><span class='hs-keyword'>deriving</span> <span class='hs-keyword'>instance</span> <span class='hs-conid'>Ord</span> <span class='hs-conid'>Level</span>
<a name="line-662"></a><span class='hs-keyword'>deriving</span> <span class='hs-keyword'>instance</span> <span class='hs-conid'>Eq</span> <span class='hs-conid'>PlusLevel</span>
<a name="line-663"></a><span class='hs-keyword'>deriving</span> <span class='hs-keyword'>instance</span> <span class='hs-conid'>Ord</span> <span class='hs-conid'>LevelAtom</span>
<a name="line-664"></a><span class='hs-keyword'>deriving</span> <span class='hs-keyword'>instance</span> <span class='hs-conid'>Eq</span> <span class='hs-conid'>Elim</span>
<a name="line-665"></a><span class='hs-keyword'>deriving</span> <span class='hs-keyword'>instance</span> <span class='hs-conid'>Ord</span> <span class='hs-conid'>Elim</span>
<a name="line-666"></a>
<a name="line-667"></a><span class='hs-keyword'>deriving</span> <span class='hs-keyword'>instance</span> <span class='hs-conid'>Eq</span> <span class='hs-conid'>Constraint</span>
<a name="line-668"></a>
<a name="line-669"></a><a name="instance%20Ord%20PlusLevel"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Ord</span> <span class='hs-conid'>PlusLevel</span> <span class='hs-keyword'>where</span>
<a name="line-670"></a> <span class='hs-varid'>compare</span> <span class='hs-conid'>ClosedLevel</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-conid'>Plus</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LT</span>
<a name="line-671"></a> <span class='hs-varid'>compare</span> <span class='hs-conid'>Plus</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-conid'>ClosedLevel</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>GT</span>
<a name="line-672"></a> <span class='hs-varid'>compare</span> <span class='hs-layout'>(</span><span class='hs-conid'>ClosedLevel</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>ClosedLevel</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>compare</span> <span class='hs-varid'>n</span> <span class='hs-varid'>m</span>
<a name="line-673"></a> <span class='hs-comment'>-- Compare on the atom first. Makes most sense for levelMax.</span>
<a name="line-674"></a> <span class='hs-varid'>compare</span> <span class='hs-layout'>(</span><span class='hs-conid'>Plus</span> <span class='hs-varid'>n</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Plus</span> <span class='hs-varid'>m</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>compare</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-layout'>,</span><span class='hs-varid'>m</span><span class='hs-layout'>)</span>
<a name="line-675"></a>
<a name="line-676"></a><a name="instance%20Eq%20LevelAtom"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Eq</span> <span class='hs-conid'>LevelAtom</span> <span class='hs-keyword'>where</span>
<a name="line-677"></a> <span class='hs-layout'>(</span><span class='hs-varop'>==</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varop'>==</span><span class='hs-layout'>)</span> <span class='hs-varop'>`on`</span> <span class='hs-varid'>unLevelAtom</span>
<a name="line-678"></a>
<a name="line-679"></a><a name="instance%20Eq%20Term"></a><span class='hs-comment'>-- | Syntactic equality, ignores stuff below @DontCare@.</span>
<a name="line-680"></a><a name="instance%20Eq%20Term"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Eq</span> <span class='hs-conid'>Term</span> <span class='hs-keyword'>where</span>
<a name="line-681"></a> <span class='hs-conid'>Var</span> <span class='hs-varid'>x</span> <span class='hs-varid'>vs</span> <span class='hs-varop'>==</span> <span class='hs-conid'>Var</span> <span class='hs-varid'>x'</span> <span class='hs-varid'>vs'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>x</span> <span class='hs-varop'>==</span> <span class='hs-varid'>x'</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>vs</span> <span class='hs-varop'>==</span> <span class='hs-varid'>vs'</span>
<a name="line-682"></a> <span class='hs-conid'>Lam</span> <span class='hs-varid'>h</span> <span class='hs-varid'>v</span> <span class='hs-varop'>==</span> <span class='hs-conid'>Lam</span> <span class='hs-varid'>h'</span> <span class='hs-varid'>v'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>h</span> <span class='hs-varop'>==</span> <span class='hs-varid'>h'</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>v</span> <span class='hs-varop'>==</span> <span class='hs-varid'>v'</span>
<a name="line-683"></a> <span class='hs-conid'>Lit</span> <span class='hs-varid'>l</span> <span class='hs-varop'>==</span> <span class='hs-conid'>Lit</span> <span class='hs-varid'>l'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varop'>==</span> <span class='hs-varid'>l'</span>
<a name="line-684"></a> <span class='hs-conid'>Def</span> <span class='hs-varid'>x</span> <span class='hs-varid'>vs</span> <span class='hs-varop'>==</span> <span class='hs-conid'>Def</span> <span class='hs-varid'>x'</span> <span class='hs-varid'>vs'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>x</span> <span class='hs-varop'>==</span> <span class='hs-varid'>x'</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>vs</span> <span class='hs-varop'>==</span> <span class='hs-varid'>vs'</span>
<a name="line-685"></a> <span class='hs-conid'>Con</span> <span class='hs-varid'>x</span> <span class='hs-varid'>vs</span> <span class='hs-varop'>==</span> <span class='hs-conid'>Con</span> <span class='hs-varid'>x'</span> <span class='hs-varid'>vs'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>x</span> <span class='hs-varop'>==</span> <span class='hs-varid'>x'</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>vs</span> <span class='hs-varop'>==</span> <span class='hs-varid'>vs'</span>
<a name="line-686"></a> <span class='hs-conid'>Pi</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varop'>==</span> <span class='hs-conid'>Pi</span> <span class='hs-varid'>a'</span> <span class='hs-varid'>b'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span> <span class='hs-varop'>==</span> <span class='hs-varid'>a'</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>b</span> <span class='hs-varop'>==</span> <span class='hs-varid'>b'</span>
<a name="line-687"></a> <span class='hs-conid'>Sort</span> <span class='hs-varid'>s</span> <span class='hs-varop'>==</span> <span class='hs-conid'>Sort</span> <span class='hs-varid'>s'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>s</span> <span class='hs-varop'>==</span> <span class='hs-varid'>s'</span>
<a name="line-688"></a> <span class='hs-conid'>Level</span> <span class='hs-varid'>l</span> <span class='hs-varop'>==</span> <span class='hs-conid'>Level</span> <span class='hs-varid'>l'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varop'>==</span> <span class='hs-varid'>l'</span>
<a name="line-689"></a> <span class='hs-conid'>MetaV</span> <span class='hs-varid'>m</span> <span class='hs-varid'>vs</span> <span class='hs-varop'>==</span> <span class='hs-conid'>MetaV</span> <span class='hs-varid'>m'</span> <span class='hs-varid'>vs'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>m</span> <span class='hs-varop'>==</span> <span class='hs-varid'>m'</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>vs</span> <span class='hs-varop'>==</span> <span class='hs-varid'>vs'</span>
<a name="line-690"></a> <span class='hs-conid'>DontCare</span> <span class='hs-keyword'>_</span> <span class='hs-varop'>==</span> <span class='hs-conid'>DontCare</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>True</span>
<a name="line-691"></a> <span class='hs-conid'>Shared</span> <span class='hs-varid'>p</span> <span class='hs-varop'>==</span> <span class='hs-conid'>Shared</span> <span class='hs-varid'>q</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>p</span> <span class='hs-varop'>==</span> <span class='hs-varid'>q</span> <span class='hs-varop'>||</span> <span class='hs-varid'>derefPtr</span> <span class='hs-varid'>p</span> <span class='hs-varop'>==</span> <span class='hs-varid'>derefPtr</span> <span class='hs-varid'>q</span>
<a name="line-692"></a> <span class='hs-conid'>Shared</span> <span class='hs-varid'>p</span> <span class='hs-varop'>==</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>derefPtr</span> <span class='hs-varid'>p</span> <span class='hs-varop'>==</span> <span class='hs-varid'>b</span>
<a name="line-693"></a> <span class='hs-varid'>a</span> <span class='hs-varop'>==</span> <span class='hs-conid'>Shared</span> <span class='hs-varid'>q</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span> <span class='hs-varop'>==</span> <span class='hs-varid'>derefPtr</span> <span class='hs-varid'>q</span>
<a name="line-694"></a> <span class='hs-keyword'>_</span> <span class='hs-varop'>==</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-695"></a>
<a name="line-696"></a><a name="instance%20Ord%20Term"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Ord</span> <span class='hs-conid'>Term</span> <span class='hs-keyword'>where</span>
<a name="line-697"></a> <span class='hs-conid'>Shared</span> <span class='hs-varid'>a</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Shared</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>a</span> <span class='hs-varop'>==</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>EQ</span>
<a name="line-698"></a> <span class='hs-conid'>Shared</span> <span class='hs-varid'>a</span> <span class='hs-varop'>`compare`</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>compare</span> <span class='hs-layout'>(</span><span class='hs-varid'>derefPtr</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>x</span>
<a name="line-699"></a> <span class='hs-varid'>a</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Shared</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>compare</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-varid'>derefPtr</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-700"></a> <span class='hs-conid'>Var</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Var</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>compare</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-701"></a> <span class='hs-conid'>Var</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-varop'>`compare`</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LT</span>
<a name="line-702"></a> <span class='hs-keyword'>_</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Var</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>GT</span>
<a name="line-703"></a> <span class='hs-conid'>Def</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Def</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>compare</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-704"></a> <span class='hs-conid'>Def</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-varop'>`compare`</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LT</span>
<a name="line-705"></a> <span class='hs-keyword'>_</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Def</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>GT</span>
<a name="line-706"></a> <span class='hs-conid'>Con</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Con</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>compare</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-707"></a> <span class='hs-conid'>Con</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-varop'>`compare`</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LT</span>
<a name="line-708"></a> <span class='hs-keyword'>_</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Con</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>GT</span>
<a name="line-709"></a> <span class='hs-conid'>Lit</span> <span class='hs-varid'>a</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Lit</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>compare</span> <span class='hs-varid'>a</span> <span class='hs-varid'>x</span>
<a name="line-710"></a> <span class='hs-conid'>Lit</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-varop'>`compare`</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LT</span>
<a name="line-711"></a> <span class='hs-keyword'>_</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Lit</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>GT</span>
<a name="line-712"></a> <span class='hs-conid'>Lam</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Lam</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>compare</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-713"></a> <span class='hs-conid'>Lam</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-varop'>`compare`</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LT</span>
<a name="line-714"></a> <span class='hs-keyword'>_</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Lam</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>GT</span>
<a name="line-715"></a> <span class='hs-conid'>Pi</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Pi</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>compare</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-716"></a> <span class='hs-conid'>Pi</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-varop'>`compare`</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LT</span>
<a name="line-717"></a> <span class='hs-keyword'>_</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Pi</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>GT</span>
<a name="line-718"></a> <span class='hs-conid'>Sort</span> <span class='hs-varid'>a</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Sort</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>compare</span> <span class='hs-varid'>a</span> <span class='hs-varid'>x</span>
<a name="line-719"></a> <span class='hs-conid'>Sort</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-varop'>`compare`</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LT</span>
<a name="line-720"></a> <span class='hs-keyword'>_</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Sort</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>GT</span>
<a name="line-721"></a> <span class='hs-conid'>Level</span> <span class='hs-varid'>a</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Level</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>compare</span> <span class='hs-varid'>a</span> <span class='hs-varid'>x</span>
<a name="line-722"></a> <span class='hs-conid'>Level</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-varop'>`compare`</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LT</span>
<a name="line-723"></a> <span class='hs-keyword'>_</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Level</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>GT</span>
<a name="line-724"></a> <span class='hs-conid'>MetaV</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>MetaV</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>compare</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-725"></a> <span class='hs-conid'>MetaV</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-varop'>`compare`</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>LT</span>
<a name="line-726"></a> <span class='hs-keyword'>_</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>MetaV</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>GT</span>
<a name="line-727"></a> <span class='hs-conid'>DontCare</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>DontCare</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>EQ</span>
<a name="line-728"></a>
<a name="line-729"></a><a name="instance%20Eq%20(Abs%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Subst</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Eq</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Eq</span> <span class='hs-layout'>(</span><span class='hs-conid'>Abs</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-730"></a> <span class='hs-conid'>NoAbs</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>a</span> <span class='hs-varop'>==</span> <span class='hs-conid'>NoAbs</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span> <span class='hs-varop'>==</span> <span class='hs-varid'>b</span>
<a name="line-731"></a> <span class='hs-conid'>Abs</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>a</span> <span class='hs-varop'>==</span> <span class='hs-conid'>Abs</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span> <span class='hs-varop'>==</span> <span class='hs-varid'>b</span>
<a name="line-732"></a> <span class='hs-varid'>a</span> <span class='hs-varop'>==</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>absBody</span> <span class='hs-varid'>a</span> <span class='hs-varop'>==</span> <span class='hs-varid'>absBody</span> <span class='hs-varid'>b</span>
<a name="line-733"></a>
<a name="line-734"></a><a name="instance%20Ord%20(Abs%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Subst</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Ord</span> <span class='hs-layout'>(</span><span class='hs-conid'>Abs</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-735"></a> <span class='hs-conid'>NoAbs</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>a</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>NoAbs</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span> <span class='hs-varop'>`compare`</span> <span class='hs-varid'>b</span>
<a name="line-736"></a> <span class='hs-conid'>Abs</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>a</span> <span class='hs-varop'>`compare`</span> <span class='hs-conid'>Abs</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span> <span class='hs-varop'>`compare`</span> <span class='hs-varid'>b</span>
<a name="line-737"></a> <span class='hs-varid'>a</span> <span class='hs-varop'>`compare`</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>absBody</span> <span class='hs-varid'>a</span> <span class='hs-varop'>`compare`</span> <span class='hs-varid'>absBody</span> <span class='hs-varid'>b</span>
<a name="line-738"></a>
<a name="line-739"></a><span class='hs-comment'>-- Level stuff ------------------------------------------------------------</span>
<a name="line-740"></a>
<a name="line-741"></a><a name="sLub"></a><span class='hs-definition'>sLub</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Sort</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Sort</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Sort</span>
<a name="line-742"></a><span class='hs-definition'>sLub</span> <span class='hs-varid'>s</span> <span class='hs-conid'>Prop</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>s</span>
<a name="line-743"></a><span class='hs-definition'>sLub</span> <span class='hs-conid'>Prop</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>s</span>
<a name="line-744"></a><span class='hs-definition'>sLub</span> <span class='hs-conid'>Inf</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Inf</span>
<a name="line-745"></a><span class='hs-definition'>sLub</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>Inf</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Inf</span>
<a name="line-746"></a><span class='hs-definition'>sLub</span> <span class='hs-layout'>(</span><span class='hs-conid'>Type</span> <span class='hs-layout'>(</span><span class='hs-conid'>Max</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Type</span> <span class='hs-layout'>(</span><span class='hs-conid'>Max</span> <span class='hs-varid'>bs</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Type</span> <span class='hs-varop'>$</span> <span class='hs-varid'>levelMax</span> <span class='hs-layout'>(</span><span class='hs-keyword'>as</span> <span class='hs-varop'>++</span> <span class='hs-varid'>bs</span><span class='hs-layout'>)</span>
<a name="line-747"></a><span class='hs-definition'>sLub</span> <span class='hs-layout'>(</span><span class='hs-conid'>DLub</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>DLub</span> <span class='hs-layout'>(</span><span class='hs-varid'>sLub</span> <span class='hs-varid'>a</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-varid'>b</span>
<a name="line-748"></a><span class='hs-definition'>sLub</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-conid'>DLub</span> <span class='hs-varid'>b</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>DLub</span> <span class='hs-layout'>(</span><span class='hs-varid'>sLub</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>c</span>
<a name="line-749"></a>
<a name="line-750"></a><a name="lvlView"></a><span class='hs-definition'>lvlView</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Term</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Level</span>
<a name="line-751"></a><span class='hs-definition'>lvlView</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>ignoreSharing</span> <span class='hs-varid'>v</span> <span class='hs-keyword'>of</span>
<a name="line-752"></a> <span class='hs-conid'>Level</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>l</span>
<a name="line-753"></a> <span class='hs-conid'>Sort</span> <span class='hs-layout'>(</span><span class='hs-conid'>Type</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>l</span>
<a name="line-754"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Max</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Plus</span> <span class='hs-num'>0</span> <span class='hs-varop'>$</span> <span class='hs-conid'>UnreducedLevel</span> <span class='hs-varid'>v</span><span class='hs-keyglyph'>]</span>
<a name="line-755"></a>
<a name="line-756"></a><a name="levelMax"></a><span class='hs-definition'>levelMax</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>PlusLevel</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Level</span>
<a name="line-757"></a><span class='hs-definition'>levelMax</span> <span class='hs-varid'>as0</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Max</span> <span class='hs-varop'>$</span> <span class='hs-varid'>ns</span> <span class='hs-varop'>++</span> <span class='hs-conid'>List</span><span class='hs-varop'>.</span><span class='hs-varid'>sort</span> <span class='hs-varid'>bs</span>
<a name="line-758"></a> <span class='hs-keyword'>where</span>
<a name="line-759"></a> <span class='hs-keyword'>as</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Prelude</span><span class='hs-varop'>.</span><span class='hs-varid'>concatMap</span> <span class='hs-varid'>expand</span> <span class='hs-varid'>as0</span>
<a name="line-760"></a> <span class='hs-varid'>ns</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>ClosedLevel</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'><-</span> <span class='hs-keyword'>as</span><span class='hs-layout'>,</span> <span class='hs-varid'>n</span> <span class='hs-varop'>></span> <span class='hs-num'>0</span> <span class='hs-keyglyph'>]</span> <span class='hs-keyword'>of</span>
<a name="line-761"></a> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>[]</span>
<a name="line-762"></a> <span class='hs-varid'>ns</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span> <span class='hs-conid'>ClosedLevel</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'><-</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Prelude</span><span class='hs-varop'>.</span><span class='hs-varid'>maximum</span> <span class='hs-varid'>ns</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>,</span> <span class='hs-varid'>n</span> <span class='hs-varop'>></span> <span class='hs-varid'>greatestB</span> <span class='hs-keyglyph'>]</span>
<a name="line-763"></a> <span class='hs-varid'>bs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>subsume</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>b</span><span class='hs-keyglyph'>@</span><span class='hs-conid'>Plus</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'><-</span> <span class='hs-keyword'>as</span> <span class='hs-keyglyph'>]</span>
<a name="line-764"></a> <span class='hs-varid'>greatestB</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>null</span> <span class='hs-varid'>bs</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>0</span>
<a name="line-765"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Prelude</span><span class='hs-varop'>.</span><span class='hs-varid'>maximum</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Plus</span> <span class='hs-varid'>n</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>bs</span> <span class='hs-keyglyph'>]</span>
<a name="line-766"></a>
<a name="line-767"></a> <span class='hs-varid'>expand</span> <span class='hs-varid'>l</span><span class='hs-keyglyph'>@</span><span class='hs-conid'>ClosedLevel</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>l</span><span class='hs-keyglyph'>]</span>
<a name="line-768"></a> <span class='hs-varid'>expand</span> <span class='hs-layout'>(</span><span class='hs-conid'>Plus</span> <span class='hs-varid'>n</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>plus</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-varid'>expand0</span> <span class='hs-varop'>$</span> <span class='hs-varid'>expandAtom</span> <span class='hs-varid'>l</span>
<a name="line-769"></a>
<a name="line-770"></a> <span class='hs-varid'>expand0</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>ClosedLevel</span> <span class='hs-num'>0</span><span class='hs-keyglyph'>]</span>
<a name="line-771"></a> <span class='hs-varid'>expand0</span> <span class='hs-keyword'>as</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>as</span>
<a name="line-772"></a>
<a name="line-773"></a> <span class='hs-varid'>expandAtom</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>l</span> <span class='hs-keyword'>of</span>
<a name="line-774"></a> <span class='hs-conid'>BlockedLevel</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>expandTm</span> <span class='hs-varid'>v</span>
<a name="line-775"></a> <span class='hs-conid'>NeutralLevel</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>expandTm</span> <span class='hs-varid'>v</span>
<a name="line-776"></a> <span class='hs-conid'>UnreducedLevel</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>expandTm</span> <span class='hs-varid'>v</span>
<a name="line-777"></a> <span class='hs-conid'>MetaLevel</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Plus</span> <span class='hs-num'>0</span> <span class='hs-varid'>l</span><span class='hs-keyglyph'>]</span>
<a name="line-778"></a> <span class='hs-keyword'>where</span>
<a name="line-779"></a> <span class='hs-varid'>expandTm</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>ignoreSharing</span> <span class='hs-varid'>v</span> <span class='hs-keyword'>of</span>
<a name="line-780"></a> <span class='hs-conid'>Level</span> <span class='hs-layout'>(</span><span class='hs-conid'>Max</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>as</span>
<a name="line-781"></a> <span class='hs-conid'>Sort</span> <span class='hs-layout'>(</span><span class='hs-conid'>Type</span> <span class='hs-layout'>(</span><span class='hs-conid'>Max</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>as</span>
<a name="line-782"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Plus</span> <span class='hs-num'>0</span> <span class='hs-varid'>l</span><span class='hs-keyglyph'>]</span>
<a name="line-783"></a>
<a name="line-784"></a> <span class='hs-varid'>plus</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-conid'>ClosedLevel</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ClosedLevel</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-varop'>+</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span>
<a name="line-785"></a> <span class='hs-varid'>plus</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-conid'>Plus</span> <span class='hs-varid'>m</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Plus</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-varop'>+</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-varid'>l</span>
<a name="line-786"></a>
<a name="line-787"></a> <span class='hs-varid'>subsume</span> <span class='hs-layout'>(</span><span class='hs-conid'>ClosedLevel</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-conop'>:</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-788"></a> <span class='hs-varid'>subsume</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-789"></a> <span class='hs-varid'>subsume</span> <span class='hs-layout'>(</span><span class='hs-conid'>Plus</span> <span class='hs-varid'>n</span> <span class='hs-varid'>a</span> <span class='hs-conop'>:</span> <span class='hs-varid'>bs</span><span class='hs-layout'>)</span>
<a name="line-790"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>not</span> <span class='hs-varop'>$</span> <span class='hs-varid'>null</span> <span class='hs-varid'>ns</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>subsume</span> <span class='hs-varid'>bs</span>
<a name="line-791"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Plus</span> <span class='hs-varid'>n</span> <span class='hs-varid'>a</span> <span class='hs-conop'>:</span> <span class='hs-varid'>subsume</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>b</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-conid'>Plus</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>a'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>bs</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span> <span class='hs-varop'>/=</span> <span class='hs-varid'>a'</span> <span class='hs-keyglyph'>]</span>
<a name="line-792"></a> <span class='hs-keyword'>where</span>
<a name="line-793"></a> <span class='hs-varid'>ns</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Plus</span> <span class='hs-varid'>m</span> <span class='hs-varid'>a'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>bs</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span> <span class='hs-varop'>==</span> <span class='hs-varid'>a'</span><span class='hs-layout'>,</span> <span class='hs-varid'>m</span> <span class='hs-varop'>></span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>]</span>
<a name="line-794"></a>
<a name="line-795"></a><a name="sortTm"></a><span class='hs-definition'>sortTm</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Sort</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Term</span>
<a name="line-796"></a><span class='hs-definition'>sortTm</span> <span class='hs-layout'>(</span><span class='hs-conid'>Type</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Sort</span> <span class='hs-varop'>$</span> <span class='hs-varid'>levelSort</span> <span class='hs-varid'>l</span>
<a name="line-797"></a><span class='hs-definition'>sortTm</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Sort</span> <span class='hs-varid'>s</span>
<a name="line-798"></a>
<a name="line-799"></a><a name="levelSort"></a><span class='hs-definition'>levelSort</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Level</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Sort</span>
<a name="line-800"></a><span class='hs-definition'>levelSort</span> <span class='hs-layout'>(</span><span class='hs-conid'>Max</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span>
<a name="line-801"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>List</span><span class='hs-varop'>.</span><span class='hs-varid'>any</span> <span class='hs-varid'>isInf</span> <span class='hs-keyword'>as</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Inf</span>
<a name="line-802"></a> <span class='hs-keyword'>where</span>
<a name="line-803"></a> <span class='hs-varid'>isInf</span> <span class='hs-conid'>ClosedLevel</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-804"></a> <span class='hs-varid'>isInf</span> <span class='hs-layout'>(</span><span class='hs-conid'>Plus</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>infAtom</span> <span class='hs-varid'>l</span>
<a name="line-805"></a> <span class='hs-varid'>infAtom</span> <span class='hs-layout'>(</span><span class='hs-conid'>NeutralLevel</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>infTm</span> <span class='hs-varid'>a</span>
<a name="line-806"></a> <span class='hs-varid'>infAtom</span> <span class='hs-layout'>(</span><span class='hs-conid'>UnreducedLevel</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>infTm</span> <span class='hs-varid'>a</span>
<a name="line-807"></a> <span class='hs-varid'>infAtom</span> <span class='hs-conid'>MetaLevel</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-808"></a> <span class='hs-varid'>infAtom</span> <span class='hs-conid'>BlockedLevel</span><span class='hs-layout'>{</span><span class='hs-layout'>}</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-809"></a> <span class='hs-varid'>infTm</span> <span class='hs-layout'>(</span><span class='hs-conid'>Sort</span> <span class='hs-conid'>Inf</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>True</span>
<a name="line-810"></a> <span class='hs-varid'>infTm</span> <span class='hs-layout'>(</span><span class='hs-conid'>Shared</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>infTm</span> <span class='hs-varop'>$</span> <span class='hs-varid'>derefPtr</span> <span class='hs-varid'>p</span>
<a name="line-811"></a> <span class='hs-varid'>infTm</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-812"></a><span class='hs-definition'>levelSort</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span>
<a name="line-813"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>ignoreSharing</span> <span class='hs-varop'>$</span> <span class='hs-varid'>levelTm</span> <span class='hs-varid'>l</span> <span class='hs-keyword'>of</span>
<a name="line-814"></a> <span class='hs-conid'>Sort</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>s</span>
<a name="line-815"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Type</span> <span class='hs-varid'>l</span>
<a name="line-816"></a>
<a name="line-817"></a><a name="levelTm"></a><span class='hs-definition'>levelTm</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Level</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Term</span>
<a name="line-818"></a><span class='hs-definition'>levelTm</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span>
<a name="line-819"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>l</span> <span class='hs-keyword'>of</span>
<a name="line-820"></a> <span class='hs-conid'>Max</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Plus</span> <span class='hs-num'>0</span> <span class='hs-varid'>l</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>unLevelAtom</span> <span class='hs-varid'>l</span>
<a name="line-821"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Level</span> <span class='hs-varid'>l</span>
<a name="line-822"></a>
<a name="line-823"></a><a name="unLevelAtom"></a><span class='hs-definition'>unLevelAtom</span> <span class='hs-layout'>(</span><span class='hs-conid'>MetaLevel</span> <span class='hs-varid'>x</span> <span class='hs-varid'>vs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>MetaV</span> <span class='hs-varid'>x</span> <span class='hs-varid'>vs</span>
<a name="line-824"></a><span class='hs-definition'>unLevelAtom</span> <span class='hs-layout'>(</span><span class='hs-conid'>NeutralLevel</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>v</span>
<a name="line-825"></a><span class='hs-definition'>unLevelAtom</span> <span class='hs-layout'>(</span><span class='hs-conid'>UnreducedLevel</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>v</span>
<a name="line-826"></a><span class='hs-definition'>unLevelAtom</span> <span class='hs-layout'>(</span><span class='hs-conid'>BlockedLevel</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>v</span>
<a name="line-827"></a>
<a name="line-828"></a><span class='hs-comment'>-- Boring instances ----------------------------------------------------</span>
<a name="line-829"></a>
<a name="line-830"></a><a name="instance%20Sized%20Substitution"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Sized</span> <span class='hs-conid'>Substitution</span> <span class='hs-keyword'>where</span>
<a name="line-831"></a> <span class='hs-varid'>size</span> <span class='hs-conid'>IdS</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>1</span>
<a name="line-832"></a> <span class='hs-varid'>size</span> <span class='hs-conid'>EmptyS</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>1</span>
<a name="line-833"></a> <span class='hs-varid'>size</span> <span class='hs-layout'>(</span><span class='hs-conid'>Wk</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>1</span> <span class='hs-varop'>+</span> <span class='hs-varid'>size</span> <span class='hs-varid'>rho</span>
<a name="line-834"></a> <span class='hs-varid'>size</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-conop'>:#</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>1</span> <span class='hs-varop'>+</span> <span class='hs-varid'>size</span> <span class='hs-varid'>t</span> <span class='hs-varop'>+</span> <span class='hs-varid'>size</span> <span class='hs-varid'>rho</span>
<a name="line-835"></a> <span class='hs-varid'>size</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lift</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>1</span> <span class='hs-varop'>+</span> <span class='hs-varid'>size</span> <span class='hs-varid'>rho</span>
<a name="line-836"></a>
<a name="line-837"></a><a name="instance%20KillRange%20Substitution"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>KillRange</span> <span class='hs-conid'>Substitution</span> <span class='hs-keyword'>where</span>
<a name="line-838"></a> <span class='hs-varid'>killRange</span> <span class='hs-conid'>IdS</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>IdS</span>
<a name="line-839"></a> <span class='hs-varid'>killRange</span> <span class='hs-conid'>EmptyS</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>EmptyS</span>
<a name="line-840"></a> <span class='hs-varid'>killRange</span> <span class='hs-layout'>(</span><span class='hs-conid'>Wk</span> <span class='hs-varid'>n</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>killRange1</span> <span class='hs-layout'>(</span><span class='hs-conid'>Wk</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varid'>rho</span>
<a name="line-841"></a> <span class='hs-varid'>killRange</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-conop'>:#</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>killRange2</span> <span class='hs-layout'>(</span><span class='hs-conop'>:#</span><span class='hs-layout'>)</span> <span class='hs-varid'>t</span> <span class='hs-varid'>rho</span>
<a name="line-842"></a> <span class='hs-varid'>killRange</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lift</span> <span class='hs-varid'>n</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>killRange1</span> <span class='hs-layout'>(</span><span class='hs-conid'>Lift</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varid'>rho</span>
</pre></body>
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