<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html>
<head>
<!-- Generated by HsColour, http://code.haskell.org/~malcolm/hscolour/ -->
<title>src/full/Agda/TypeChecking/Rules/LHS/Instantiate.hs</title>
<link type='text/css' rel='stylesheet' href='hscolour.css' />
</head>
<body>
<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE CPP #-}</span>
<a name="line-2"></a>
<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'>Rules</span><span class='hs-varop'>.</span><span class='hs-conid'>LHS</span><span class='hs-varop'>.</span><span class='hs-conid'>Instantiate</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'>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-6"></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-7"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</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'>Abstract</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>A</span>
<a name="line-8"></a>
<a name="line-9"></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>
<a name="line-10"></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'>Substitute</span> <span class='hs-varid'>hiding</span> <span class='hs-layout'>(</span><span class='hs-conid'>Substitution</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'>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'>as</span> <span class='hs-conid'>S</span> <span class='hs-layout'>(</span><span class='hs-conid'>Substitution</span><span class='hs-layout'>)</span>
<a name="line-12"></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>
<a name="line-13"></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'>Pretty</span>
<a name="line-14"></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'>Reduce</span>
<a name="line-15"></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'>Telescope</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'>TypeChecking</span><span class='hs-varop'>.</span><span class='hs-conid'>Rules</span><span class='hs-varop'>.</span><span class='hs-conid'>LHS</span><span class='hs-varop'>.</span><span class='hs-conid'>Problem</span>
<a name="line-18"></a><span class='hs-comment'>-- import Agda.TypeChecking.Rules.LHS.ProblemRest</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'>TypeChecking</span><span class='hs-varop'>.</span><span class='hs-conid'>Rules</span><span class='hs-varop'>.</span><span class='hs-conid'>LHS</span><span class='hs-varop'>.</span><span class='hs-conid'>Split</span> <span class='hs-layout'>(</span> <span class='hs-varid'>asView</span> <span class='hs-layout'>)</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'>Utils</span><span class='hs-varop'>.</span><span class='hs-conid'>List</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'>Utils</span><span class='hs-varop'>.</span><span class='hs-conid'>Permutation</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'>Utils</span><span class='hs-varop'>.</span><span class='hs-conid'>Size</span>
<a name="line-24"></a>
<a name="line-25"></a><span class='hs-cpp'>#include "../../../undefined.h"</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'>Impossible</span>
<a name="line-27"></a>
<a name="line-28"></a><a name="instantiateTel"></a><span class='hs-comment'>-- | Instantiate a telescope with a substitution. Might reorder the telescope.</span>
<a name="line-29"></a><span class='hs-comment'>-- @instantiateTel (Γ : Tel)(σ : Γ --> Γ) = Γσ~@</span>
<a name="line-30"></a><span class='hs-comment'>-- Monadic only for debugging purposes.</span>
<a name="line-31"></a><span class='hs-definition'>instantiateTel</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Substitution</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Telescope</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-layout'>(</span><span class='hs-conid'>Telescope</span><span class='hs-layout'>,</span> <span class='hs-conid'>Permutation</span><span class='hs-layout'>,</span> <span class='hs-conid'>S</span><span class='hs-varop'>.</span><span class='hs-conid'>Substitution</span><span class='hs-layout'>,</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Dom</span> <span class='hs-conid'>Type</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-32"></a><span class='hs-definition'>instantiateTel</span> <span class='hs-varid'>s</span> <span class='hs-varid'>tel</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftTCM</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>do</span>
<a name="line-33"></a>
<a name="line-34"></a> <span class='hs-varid'>tel</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>normalise</span> <span class='hs-varid'>tel</span>
<a name="line-35"></a>
<a name="line-36"></a> <span class='hs-varid'>reportSDoc</span> <span class='hs-str'>"tc.lhs.inst"</span> <span class='hs-num'>10</span> <span class='hs-varop'>$</span> <span class='hs-varid'>vcat</span>
<a name="line-37"></a> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>text</span> <span class='hs-str'>"instantiateTel "</span>
<a name="line-38"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>nest</span> <span class='hs-num'>2</span> <span class='hs-varop'>$</span> <span class='hs-varid'>addCtxTel</span> <span class='hs-varid'>tel</span> <span class='hs-varop'>$</span> <span class='hs-varid'>fsep</span> <span class='hs-varop'>$</span> <span class='hs-varid'>punctuate</span> <span class='hs-varid'>comma</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>maybe</span> <span class='hs-layout'>(</span><span class='hs-varid'>text</span> <span class='hs-str'>"_"</span><span class='hs-layout'>)</span> <span class='hs-varid'>prettyTCM</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span>
<a name="line-39"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>nest</span> <span class='hs-num'>2</span> <span class='hs-varop'>$</span> <span class='hs-varid'>text</span> <span class='hs-str'>"tel ="</span> <span class='hs-varop'><+></span> <span class='hs-varid'>prettyTCM</span> <span class='hs-varid'>tel</span>
<a name="line-40"></a><span class='hs-comment'>-- , nest 2 $ text "tel =" <+> text (show tel)</span>
<a name="line-41"></a> <span class='hs-keyglyph'>]</span>
<a name="line-42"></a>
<a name="line-43"></a> <span class='hs-comment'>-- Shrinking permutation (removing Justs) (and its complement, and reverse)</span>
<a name="line-44"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>size</span> <span class='hs-varid'>s</span>
<a name="line-45"></a> <span class='hs-comment'>{- OLD CODE, leave as documentation
<a name="line-46"></a> ps = Perm n [ i | (i, Nothing) <- zip [0..] $ reverse s ]
<a name="line-47"></a> psR = reverseP ps
<a name="line-48"></a> psC = Perm n [ i | (i, Just _) <- zip [0..] $ reverse s ]
<a name="line-49"></a> -}</span>
<a name="line-50"></a> <span class='hs-varid'>deal</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-conid'>Nothing</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Left</span> <span class='hs-varid'>i</span>
<a name="line-51"></a> <span class='hs-varid'>deal</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-conid'>Just</span> <span class='hs-keyword'>_</span> <span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Right</span> <span class='hs-varid'>i</span>
<a name="line-52"></a> <span class='hs-layout'>(</span><span class='hs-varid'>is</span><span class='hs-layout'>,</span> <span class='hs-varid'>isC</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mapEither</span> <span class='hs-varid'>deal</span> <span class='hs-varop'>$</span> <span class='hs-varid'>zip</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>0</span><span class='hs-keyglyph'>..</span><span class='hs-keyglyph'>]</span> <span class='hs-varop'>$</span> <span class='hs-varid'>reverse</span> <span class='hs-varid'>s</span>
<a name="line-53"></a> <span class='hs-varid'>ps</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Perm</span> <span class='hs-varid'>n</span> <span class='hs-varid'>is</span>
<a name="line-54"></a> <span class='hs-varid'>psR</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>reverseP</span> <span class='hs-varid'>ps</span>
<a name="line-55"></a> <span class='hs-varid'>psC</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Perm</span> <span class='hs-varid'>n</span> <span class='hs-varid'>isC</span>
<a name="line-56"></a>
<a name="line-57"></a> <span class='hs-varid'>reportSDoc</span> <span class='hs-str'>"tc.lhs.inst"</span> <span class='hs-num'>10</span> <span class='hs-varop'>$</span> <span class='hs-varid'>vcat</span>
<a name="line-58"></a> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>nest</span> <span class='hs-num'>2</span> <span class='hs-varop'>$</span> <span class='hs-varid'>text</span> <span class='hs-varop'>$</span> <span class='hs-str'>"ps = "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-varid'>ps</span>
<a name="line-59"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>nest</span> <span class='hs-num'>2</span> <span class='hs-varop'>$</span> <span class='hs-varid'>text</span> <span class='hs-varop'>$</span> <span class='hs-str'>"psR = "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-varid'>psR</span>
<a name="line-60"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>nest</span> <span class='hs-num'>2</span> <span class='hs-varop'>$</span> <span class='hs-varid'>text</span> <span class='hs-varop'>$</span> <span class='hs-str'>"psC = "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-varid'>psC</span>
<a name="line-61"></a> <span class='hs-keyglyph'>]</span>
<a name="line-62"></a>
<a name="line-63"></a> <span class='hs-comment'>-- s' : Substitution Γσ</span>
<a name="line-64"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>s'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>renameP</span> <span class='hs-varid'>psR</span> <span class='hs-varid'>s</span>
<a name="line-65"></a>
<a name="line-66"></a> <span class='hs-varid'>reportSDoc</span> <span class='hs-str'>"tc.lhs.inst"</span> <span class='hs-num'>15</span> <span class='hs-varop'>$</span> <span class='hs-varid'>nest</span> <span class='hs-num'>2</span> <span class='hs-varop'>$</span>
<a name="line-67"></a> <span class='hs-varid'>text</span> <span class='hs-str'>"s' ="</span> <span class='hs-varop'><+></span> <span class='hs-varid'>fsep</span> <span class='hs-layout'>(</span><span class='hs-varid'>punctuate</span> <span class='hs-varid'>comma</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>maybe</span> <span class='hs-layout'>(</span><span class='hs-varid'>text</span> <span class='hs-str'>"_"</span><span class='hs-layout'>)</span> <span class='hs-varid'>prettyTCM</span><span class='hs-layout'>)</span> <span class='hs-varid'>s'</span><span class='hs-layout'>)</span>
<a name="line-68"></a>
<a name="line-69"></a> <span class='hs-comment'>-- rho : [Tm Γσ]Γ</span>
<a name="line-70"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>rho</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mkSubst</span> <span class='hs-varid'>s'</span>
<a name="line-71"></a>
<a name="line-72"></a> <span class='hs-varid'>reportSDoc</span> <span class='hs-str'>"tc.lhs.inst"</span> <span class='hs-num'>15</span> <span class='hs-varop'>$</span> <span class='hs-varid'>nest</span> <span class='hs-num'>2</span> <span class='hs-varop'>$</span>
<a name="line-73"></a> <span class='hs-varid'>text</span> <span class='hs-str'>"rho = "</span> <span class='hs-varop'><+></span> <span class='hs-varid'>text</span> <span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>rho</span><span class='hs-layout'>)</span>
<a name="line-74"></a>
<a name="line-75"></a> <span class='hs-comment'>-- tel1 : [Type Γ]Γ</span>
<a name="line-76"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>tel1</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>flattenTel</span> <span class='hs-varid'>tel</span>
<a name="line-77"></a> <span class='hs-varid'>names1</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>teleNames</span> <span class='hs-varid'>tel</span>
<a name="line-78"></a>
<a name="line-79"></a> <span class='hs-varid'>reportSDoc</span> <span class='hs-str'>"tc.lhs.inst"</span> <span class='hs-num'>15</span> <span class='hs-varop'>$</span> <span class='hs-varid'>nest</span> <span class='hs-num'>2</span> <span class='hs-varop'>$</span> <span class='hs-varid'>vcat</span>
<a name="line-80"></a> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>text</span> <span class='hs-str'>"tel1 ="</span> <span class='hs-varop'><+></span> <span class='hs-varid'>brackets</span> <span class='hs-layout'>(</span><span class='hs-varid'>fsep</span> <span class='hs-varop'>$</span> <span class='hs-varid'>punctuate</span> <span class='hs-varid'>comma</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-varid'>prettyTCM</span> <span class='hs-varid'>tel1</span><span class='hs-layout'>)</span>
<a name="line-81"></a><span class='hs-comment'>-- , text "tel1 =" <+> text (show tel1)</span>
<a name="line-82"></a> <span class='hs-keyglyph'>]</span>
<a name="line-83"></a>
<a name="line-84"></a> <span class='hs-comment'>-- tel2 : [Type Γσ]Γ</span>
<a name="line-85"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>tel2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho</span> <span class='hs-varid'>tel1</span>
<a name="line-86"></a>
<a name="line-87"></a> <span class='hs-varid'>reportSDoc</span> <span class='hs-str'>"tc.lhs.inst"</span> <span class='hs-num'>15</span> <span class='hs-varop'>$</span> <span class='hs-varid'>nest</span> <span class='hs-num'>2</span> <span class='hs-varop'>$</span>
<a name="line-88"></a> <span class='hs-varid'>text</span> <span class='hs-str'>"tel2 ="</span> <span class='hs-varop'><+></span> <span class='hs-varid'>brackets</span> <span class='hs-layout'>(</span><span class='hs-varid'>fsep</span> <span class='hs-varop'>$</span> <span class='hs-varid'>punctuate</span> <span class='hs-varid'>comma</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-varid'>prettyTCM</span> <span class='hs-varid'>tel2</span><span class='hs-layout'>)</span>
<a name="line-89"></a>
<a name="line-90"></a> <span class='hs-comment'>-- tel3 : [Type Γσ]Γσ</span>
<a name="line-91"></a> <span class='hs-varid'>tel3</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>instantiateFull</span> <span class='hs-varop'>$</span> <span class='hs-varid'>permute</span> <span class='hs-varid'>ps</span> <span class='hs-varid'>tel2</span>
<a name="line-92"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>names3</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>permute</span> <span class='hs-varid'>ps</span> <span class='hs-varid'>names1</span>
<a name="line-93"></a>
<a name="line-94"></a> <span class='hs-varid'>reportSDoc</span> <span class='hs-str'>"tc.lhs.inst"</span> <span class='hs-num'>15</span> <span class='hs-varop'>$</span> <span class='hs-varid'>nest</span> <span class='hs-num'>2</span> <span class='hs-varop'>$</span>
<a name="line-95"></a> <span class='hs-varid'>text</span> <span class='hs-str'>"tel3 ="</span> <span class='hs-varop'><+></span> <span class='hs-varid'>brackets</span> <span class='hs-layout'>(</span><span class='hs-varid'>fsep</span> <span class='hs-varop'>$</span> <span class='hs-varid'>punctuate</span> <span class='hs-varid'>comma</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-varid'>prettyTCM</span> <span class='hs-varid'>tel3</span><span class='hs-layout'>)</span>
<a name="line-96"></a>
<a name="line-97"></a> <span class='hs-comment'>-- p : Permutation (Γσ -> Γσ~)</span>
<a name="line-98"></a> <span class='hs-varid'>p</span> <span class='hs-keyglyph'><-</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>reorderTel</span> <span class='hs-varid'>tel3</span> <span class='hs-keyword'>of</span>
<a name="line-99"></a> <span class='hs-conid'>Nothing</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>inContext</span> <span class='hs-conid'>[]</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>do</span>
<a name="line-100"></a> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>mapM</span> <span class='hs-varid'>freshName_</span> <span class='hs-varid'>names3</span>
<a name="line-101"></a> <span class='hs-varid'>addCtxs</span> <span class='hs-varid'>xs</span> <span class='hs-layout'>(</span><span class='hs-conid'>Dom</span> <span class='hs-conid'>NotHidden</span> <span class='hs-conid'>Relevant</span> <span class='hs-varid'>prop</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>do</span>
<a name="line-102"></a> <span class='hs-varid'>err</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>sep</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>text</span> <span class='hs-str'>"Recursive telescope in left hand side:"</span>
<a name="line-103"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>fsep</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>parens</span> <span class='hs-layout'>(</span><span class='hs-varid'>prettyTCM</span> <span class='hs-varid'>x</span> <span class='hs-varop'><+></span> <span class='hs-varid'>text</span> <span class='hs-str'>":"</span> <span class='hs-varop'><+></span> <span class='hs-varid'>prettyTCM</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-104"></a> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>zip</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>tel3</span> <span class='hs-keyglyph'>]</span>
<a name="line-105"></a> <span class='hs-keyglyph'>]</span>
<a name="line-106"></a> <span class='hs-varid'>typeError</span> <span class='hs-varop'>$</span> <span class='hs-conid'>GenericError</span> <span class='hs-varop'>$</span> <span class='hs-varid'>show</span> <span class='hs-varid'>err</span>
<a name="line-107"></a> <span class='hs-conid'>Just</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-varid'>p</span>
<a name="line-108"></a>
<a name="line-109"></a> <span class='hs-varid'>reportSLn</span> <span class='hs-str'>"tc.lhs.inst"</span> <span class='hs-num'>10</span> <span class='hs-varop'>$</span> <span class='hs-str'>"p = "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-varid'>p</span>
<a name="line-110"></a>
<a name="line-111"></a> <span class='hs-comment'>-- rho' : [Term Γσ~]Γσ</span>
<a name="line-112"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>rho'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>renaming</span> <span class='hs-layout'>(</span><span class='hs-varid'>reverseP</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span>
<a name="line-113"></a>
<a name="line-114"></a> <span class='hs-comment'>-- tel4 : [Type Γσ~]Γσ~</span>
<a name="line-115"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>tel4</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho'</span> <span class='hs-layout'>(</span><span class='hs-varid'>permute</span> <span class='hs-varid'>p</span> <span class='hs-varid'>tel3</span><span class='hs-layout'>)</span>
<a name="line-116"></a> <span class='hs-varid'>names4</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>permute</span> <span class='hs-varid'>p</span> <span class='hs-varid'>names3</span>
<a name="line-117"></a>
<a name="line-118"></a> <span class='hs-varid'>reportSDoc</span> <span class='hs-str'>"tc.lhs.inst"</span> <span class='hs-num'>15</span> <span class='hs-varop'>$</span> <span class='hs-varid'>nest</span> <span class='hs-num'>2</span> <span class='hs-varop'>$</span>
<a name="line-119"></a> <span class='hs-varid'>text</span> <span class='hs-str'>"tel4 ="</span> <span class='hs-varop'><+></span> <span class='hs-varid'>brackets</span> <span class='hs-layout'>(</span><span class='hs-varid'>fsep</span> <span class='hs-varop'>$</span> <span class='hs-varid'>punctuate</span> <span class='hs-varid'>comma</span> <span class='hs-varop'>$</span> <span class='hs-varid'>map</span> <span class='hs-varid'>prettyTCM</span> <span class='hs-varid'>tel4</span><span class='hs-layout'>)</span>
<a name="line-120"></a>
<a name="line-121"></a> <span class='hs-comment'>-- tel5 = Γσ~</span>
<a name="line-122"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>tel5</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unflattenTel</span> <span class='hs-varid'>names4</span> <span class='hs-varid'>tel4</span>
<a name="line-123"></a>
<a name="line-124"></a> <span class='hs-varid'>reportSDoc</span> <span class='hs-str'>"tc.lhs.inst"</span> <span class='hs-num'>15</span> <span class='hs-varop'>$</span> <span class='hs-varid'>nest</span> <span class='hs-num'>2</span> <span class='hs-varop'>$</span>
<a name="line-125"></a> <span class='hs-varid'>text</span> <span class='hs-str'>"tel5 ="</span> <span class='hs-varop'><+></span> <span class='hs-varid'>prettyTCM</span> <span class='hs-varid'>tel5</span>
<a name="line-126"></a>
<a name="line-127"></a> <span class='hs-comment'>-- remember the types of the instantiations</span>
<a name="line-128"></a> <span class='hs-comment'>-- itypes : [Type Γσ~]Γ*</span>
<a name="line-129"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>itypes</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho'</span> <span class='hs-varop'>$</span> <span class='hs-varid'>permute</span> <span class='hs-varid'>psC</span> <span class='hs-varid'>tel2</span>
<a name="line-130"></a>
<a name="line-131"></a> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>tel5</span><span class='hs-layout'>,</span> <span class='hs-varid'>composeP</span> <span class='hs-varid'>p</span> <span class='hs-varid'>ps</span><span class='hs-layout'>,</span> <span class='hs-varid'>applySubst</span> <span class='hs-varid'>rho'</span> <span class='hs-varid'>rho</span><span class='hs-layout'>,</span> <span class='hs-varid'>itypes</span><span class='hs-layout'>)</span>
<a name="line-132"></a> <span class='hs-keyword'>where</span>
<a name="line-133"></a>
<a name="line-134"></a> <span class='hs-comment'>-- Turn a Substitution ([Maybe Term]) into a substitution (S.Substitution)</span>
<a name="line-135"></a> <span class='hs-varid'>mkSubst</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Maybe</span> <span class='hs-conid'>Term</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>S</span><span class='hs-varop'>.</span><span class='hs-conid'>Substitution</span>
<a name="line-136"></a> <span class='hs-varid'>mkSubst</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rho</span> <span class='hs-num'>0</span> <span class='hs-varid'>s'</span>
<a name="line-137"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>s'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>s</span>
<a name="line-138"></a> <span class='hs-varid'>rho</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Nothing</span> <span class='hs-conop'>:</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>var</span> <span class='hs-varid'>i</span> <span class='hs-conop'>:#</span> <span class='hs-varid'>rho</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-varop'>+</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span>
<a name="line-139"></a> <span class='hs-varid'>rho</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-varid'>u</span> <span class='hs-conop'>:</span> <span class='hs-varid'>s</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'>rho</span> <span class='hs-varid'>i</span> <span class='hs-varid'>s</span>
<a name="line-140"></a> <span class='hs-varid'>rho</span> <span class='hs-varid'>i</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>raiseS</span> <span class='hs-varid'>i</span>
<a name="line-141"></a>
<a name="line-142"></a><a name="nothingToSplitError"></a><span class='hs-comment'>-- | Produce a nice error message when splitting failed</span>
<a name="line-143"></a><span class='hs-definition'>nothingToSplitError</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Problem</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-varid'>a</span>
<a name="line-144"></a><span class='hs-definition'>nothingToSplitError</span> <span class='hs-layout'>(</span><span class='hs-conid'>Problem</span> <span class='hs-varid'>ps</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>tel</span> <span class='hs-varid'>pr</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>splitError</span> <span class='hs-varid'>ps</span> <span class='hs-varid'>tel</span>
<a name="line-145"></a> <span class='hs-keyword'>where</span>
<a name="line-146"></a> <span class='hs-varid'>splitError</span> <span class='hs-conid'>[]</span> <span class='hs-conid'>EmptyTel</span> <span class='hs-keyglyph'>=</span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-147"></a> <span class='hs-varid'>splitError</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-conop'>:</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-conid'>EmptyTel</span> <span class='hs-keyglyph'>=</span> <span class='hs-sel'>__IMPOSSIBLE__</span>
<a name="line-148"></a> <span class='hs-varid'>splitError</span> <span class='hs-conid'>[]</span> <span class='hs-conid'>ExtendTel</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-149"></a> <span class='hs-varid'>splitError</span> <span class='hs-layout'>(</span><span class='hs-varid'>p</span> <span class='hs-conop'>:</span> <span class='hs-varid'>ps</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>ExtendTel</span> <span class='hs-varid'>a</span> <span class='hs-varid'>tel</span><span class='hs-layout'>)</span>
<a name="line-150"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>isBad</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>traceCall</span> <span class='hs-layout'>(</span><span class='hs-conid'>CheckPattern</span> <span class='hs-layout'>(</span><span class='hs-varid'>strip</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-conid'>EmptyTel</span> <span class='hs-layout'>(</span><span class='hs-varid'>unDom</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>strip</span> <span class='hs-varid'>p</span> <span class='hs-keyword'>of</span>
<a name="line-151"></a> <span class='hs-conid'>A</span><span class='hs-varop'>.</span><span class='hs-conid'>DotP</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>typeError</span> <span class='hs-varop'>$</span> <span class='hs-conid'>UninstantiatedDotPattern</span> <span class='hs-varid'>e</span>
<a name="line-152"></a> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>typeError</span> <span class='hs-varop'>$</span> <span class='hs-conid'>IlltypedPattern</span> <span class='hs-varid'>p</span> <span class='hs-layout'>(</span><span class='hs-varid'>unDom</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-153"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>underAbstraction</span> <span class='hs-varid'>a</span> <span class='hs-varid'>tel</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>tel</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>splitError</span> <span class='hs-varid'>ps</span> <span class='hs-varid'>tel</span>
<a name="line-154"></a> <span class='hs-keyword'>where</span>
<a name="line-155"></a> <span class='hs-varid'>strip</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>snd</span> <span class='hs-varop'>.</span> <span class='hs-varid'>asView</span> <span class='hs-varop'>.</span> <span class='hs-varid'>namedArg</span>
<a name="line-156"></a> <span class='hs-varid'>isBad</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>strip</span> <span class='hs-varid'>p</span> <span class='hs-keyword'>of</span>
<a name="line-157"></a> <span class='hs-conid'>A</span><span class='hs-varop'>.</span><span class='hs-conid'>DotP</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>True</span>
<a name="line-158"></a> <span class='hs-conid'>A</span><span class='hs-varop'>.</span><span class='hs-conid'>ConP</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>True</span>
<a name="line-159"></a> <span class='hs-conid'>A</span><span class='hs-varop'>.</span><span class='hs-conid'>LitP</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>True</span>
<a name="line-160"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>False</span>
</pre></body>
</html>
