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<title>src/full/Agda/TypeChecking/Irrelevance.hs</title>
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<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-comment'>{-| Irrelevant function types.
<a name="line-4"></a>-}</span>
<a name="line-5"></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'>Irrelevance</span> <span class='hs-keyword'>where</span>
<a name="line-6"></a>
<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'>Applicative</span>
<a name="line-8"></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-9"></a>
<a name="line-10"></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-11"></a>
<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'>Interaction</span><span class='hs-varop'>.</span><span class='hs-conid'>Options</span> <span class='hs-varid'>hiding</span> <span class='hs-layout'>(</span><span class='hs-varid'>tests</span><span class='hs-layout'>)</span>
<a name="line-13"></a>
<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'>Syntax</span><span class='hs-varop'>.</span><span class='hs-conid'>Common</span>
<a name="line-15"></a>
<a name="line-16"></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-17"></a>
<a name="line-18"></a><span class='hs-cpp'>#include "../undefined.h"</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'>Utils</span><span class='hs-varop'>.</span><span class='hs-conid'>Impossible</span>
<a name="line-20"></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'>QuickCheck</span>
<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'>TestHelpers</span>
<a name="line-22"></a>
<a name="line-23"></a><span class='hs-comment'>-- | data 'Relevance'</span>
<a name="line-24"></a><span class='hs-comment'>-- see 'Agda.Syntax.Common'</span>
<a name="line-25"></a>
<a name="line-26"></a><a name="irrelevantOrUnused"></a><span class='hs-definition'>irrelevantOrUnused</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span>
<a name="line-27"></a><span class='hs-definition'>irrelevantOrUnused</span> <span class='hs-conid'>Irrelevant</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>True</span>
<a name="line-28"></a><span class='hs-definition'>irrelevantOrUnused</span> <span class='hs-conid'>UnusedArg</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>True</span>
<a name="line-29"></a><span class='hs-definition'>irrelevantOrUnused</span> <span class='hs-conid'>NonStrict</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-30"></a><span class='hs-definition'>irrelevantOrUnused</span> <span class='hs-conid'>Relevant</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-31"></a><span class='hs-definition'>irrelevantOrUnused</span> <span class='hs-conid'>Forced</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span>
<a name="line-32"></a>
<a name="line-33"></a><a name="unusableRelevance"></a><span class='hs-comment'>-- | @unusableRelevance rel == True@ iff we cannot use a variable of @rel@.</span>
<a name="line-34"></a><span class='hs-definition'>unusableRelevance</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span>
<a name="line-35"></a><span class='hs-definition'>unusableRelevance</span> <span class='hs-varid'>rel</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NonStrict</span> <span class='hs-varop'>`moreRelevant`</span> <span class='hs-varid'>rel</span>
<a name="line-36"></a>
<a name="line-37"></a><a name="composeRelevance"></a><span class='hs-comment'>-- | 'Relevance' composition.</span>
<a name="line-38"></a><span class='hs-comment'>-- 'Irrelevant' is dominant, 'Relevant' is neutral.</span>
<a name="line-39"></a><span class='hs-definition'>composeRelevance</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevance</span>
<a name="line-40"></a><span class='hs-definition'>composeRelevance</span> <span class='hs-varid'>r</span> <span class='hs-varid'>r'</span> <span class='hs-keyglyph'>=</span>
<a name="line-41"></a> <span class='hs-keyword'>case</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span><span class='hs-layout'>,</span> <span class='hs-varid'>r'</span><span class='hs-layout'>)</span> <span class='hs-keyword'>of</span>
<a name="line-42"></a> <span class='hs-layout'>(</span><span class='hs-conid'>Irrelevant</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Irrelevant</span>
<a name="line-43"></a> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-conid'>Irrelevant</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Irrelevant</span>
<a name="line-44"></a> <span class='hs-layout'>(</span><span class='hs-conid'>NonStrict</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>NonStrict</span>
<a name="line-45"></a> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-conid'>NonStrict</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>NonStrict</span>
<a name="line-46"></a> <span class='hs-layout'>(</span><span class='hs-conid'>Forced</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Forced</span>
<a name="line-47"></a> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-conid'>Forced</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Forced</span>
<a name="line-48"></a> <span class='hs-layout'>(</span><span class='hs-conid'>UnusedArg</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>UnusedArg</span>
<a name="line-49"></a> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-conid'>UnusedArg</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>UnusedArg</span>
<a name="line-50"></a> <span class='hs-layout'>(</span><span class='hs-conid'>Relevant</span><span class='hs-layout'>,</span> <span class='hs-conid'>Relevant</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevant</span>
<a name="line-51"></a>
<a name="line-52"></a><a name="inverseComposeRelevance"></a><span class='hs-comment'>-- | @inverseComposeRelevance r x@ returns the most irrelevant @y@</span>
<a name="line-53"></a><span class='hs-comment'>-- such that forall @x@, @y@ we have</span>
<a name="line-54"></a><span class='hs-comment'>-- @x \`moreRelevant\` (r \`composeRelevance\` y)@</span>
<a name="line-55"></a><span class='hs-comment'>-- iff</span>
<a name="line-56"></a><span class='hs-comment'>-- @(r \`inverseComposeRelevance\` x) \`moreRelevant\` y@ (Galois connection).</span>
<a name="line-57"></a><span class='hs-definition'>inverseComposeRelevance</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevance</span>
<a name="line-58"></a><span class='hs-definition'>inverseComposeRelevance</span> <span class='hs-varid'>r</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span>
<a name="line-59"></a> <span class='hs-keyword'>case</span> <span class='hs-layout'>(</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-keyword'>of</span>
<a name="line-60"></a> <span class='hs-layout'>(</span><span class='hs-conid'>Relevant</span><span class='hs-layout'>,</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>x</span> <span class='hs-comment'>-- going to relevant arg.: nothing changes</span>
<a name="line-61"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>r</span> <span class='hs-varop'>==</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevant</span> <span class='hs-comment'>-- because Relevant is comp.-neutral</span>
<a name="line-62"></a> <span class='hs-layout'>(</span><span class='hs-conid'>UnusedArg</span><span class='hs-layout'>,</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>x</span>
<a name="line-63"></a> <span class='hs-layout'>(</span><span class='hs-conid'>Forced</span><span class='hs-layout'>,</span> <span class='hs-conid'>UnusedArg</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevant</span>
<a name="line-64"></a> <span class='hs-layout'>(</span><span class='hs-conid'>Forced</span><span class='hs-layout'>,</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>x</span>
<a name="line-65"></a> <span class='hs-layout'>(</span><span class='hs-conid'>Irrelevant</span><span class='hs-layout'>,</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevant</span> <span class='hs-comment'>-- going irrelevant: every thing usable</span>
<a name="line-66"></a> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-conid'>Irrelevant</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Irrelevant</span> <span class='hs-comment'>-- otherwise: irrelevant things remain unusable</span>
<a name="line-67"></a> <span class='hs-layout'>(</span><span class='hs-conid'>NonStrict</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevant</span> <span class='hs-comment'>-- but @NonStrict@s become usable</span>
<a name="line-68"></a>
<a name="line-69"></a><a name="ignoreForced"></a><span class='hs-comment'>-- | For comparing @Relevance@ ignoring @Forced@ and @UnusedArg@.</span>
<a name="line-70"></a><span class='hs-definition'>ignoreForced</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevance</span>
<a name="line-71"></a><span class='hs-definition'>ignoreForced</span> <span class='hs-conid'>Forced</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Relevant</span>
<a name="line-72"></a><span class='hs-definition'>ignoreForced</span> <span class='hs-conid'>UnusedArg</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Relevant</span>
<a name="line-73"></a><span class='hs-definition'>ignoreForced</span> <span class='hs-conid'>Relevant</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Relevant</span>
<a name="line-74"></a><span class='hs-definition'>ignoreForced</span> <span class='hs-conid'>NonStrict</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NonStrict</span>
<a name="line-75"></a><span class='hs-definition'>ignoreForced</span> <span class='hs-conid'>Irrelevant</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Irrelevant</span>
<a name="line-76"></a>
<a name="line-77"></a><a name="irrToNonStrict"></a><span class='hs-comment'>-- | Irrelevant function arguments may appear non-strictly in the codomain type.</span>
<a name="line-78"></a><span class='hs-definition'>irrToNonStrict</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevance</span>
<a name="line-79"></a><span class='hs-definition'>irrToNonStrict</span> <span class='hs-conid'>Irrelevant</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NonStrict</span>
<a name="line-80"></a><span class='hs-comment'>-- irrToNonStrict NonStrict = Relevant -- TODO: is that what we want (OR: NonStrict) -- better be more conservative</span>
<a name="line-81"></a><span class='hs-definition'>irrToNonStrict</span> <span class='hs-varid'>rel</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rel</span>
<a name="line-82"></a>
<a name="line-83"></a><a name="nonStrictToIrr"></a><span class='hs-definition'>nonStrictToIrr</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevance</span>
<a name="line-84"></a><span class='hs-definition'>nonStrictToIrr</span> <span class='hs-conid'>NonStrict</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Irrelevant</span>
<a name="line-85"></a><span class='hs-definition'>nonStrictToIrr</span> <span class='hs-varid'>rel</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rel</span>
<a name="line-86"></a>
<a name="line-87"></a><span class='hs-comment'>-- * Operations on 'Dom'.</span>
<a name="line-88"></a>
<a name="line-89"></a><a name="hideAndRelParams"></a><span class='hs-comment'>-- | Prepare parts of a parameter telescope for abstraction in constructors</span>
<a name="line-90"></a><span class='hs-comment'>-- and projections.</span>
<a name="line-91"></a><span class='hs-definition'>hideAndRelParams</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Dom</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Dom</span> <span class='hs-varid'>a</span>
<a name="line-92"></a><span class='hs-definition'>hideAndRelParams</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span>
<a name="line-93"></a> <span class='hs-layout'>{</span> <span class='hs-varid'>domRelevance</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>nonStrictToIrr</span> <span class='hs-layout'>(</span><span class='hs-varid'>domRelevance</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-94"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>domHiding</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Hidden</span>
<a name="line-95"></a> <span class='hs-layout'>}</span>
<a name="line-96"></a>
<a name="line-97"></a><span class='hs-comment'>{- UNUSED
<a name="line-98"></a>-- | @modifyArgRelevance f arg@ applies @f@ to the 'argRelevance' component of @arg@.
<a name="line-99"></a>modifyArgRelevance :: (Relevance -> Relevance) -> Arg a -> Arg a
<a name="line-100"></a>modifyArgRelevance f a = a { argRelevance = f (argRelevance a) }
<a name="line-101"></a>-}</span>
<a name="line-102"></a>
<a name="line-103"></a><a name="inverseApplyRelevance"></a><span class='hs-comment'>-- | Used to modify context when going into a @rel@ argument.</span>
<a name="line-104"></a><span class='hs-definition'>inverseApplyRelevance</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Dom</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Dom</span> <span class='hs-varid'>a</span>
<a name="line-105"></a><span class='hs-definition'>inverseApplyRelevance</span> <span class='hs-varid'>rel</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mapDomRelevance</span> <span class='hs-layout'>(</span><span class='hs-varid'>rel</span> <span class='hs-varop'>`inverseComposeRelevance`</span><span class='hs-layout'>)</span>
<a name="line-106"></a>
<a name="line-107"></a><a name="applyRelevance"></a><span class='hs-comment'>-- | Compose two relevance flags.</span>
<a name="line-108"></a><span class='hs-comment'>-- This function is used to update the relevance information</span>
<a name="line-109"></a><span class='hs-comment'>-- on pattern variables @a@ after a match against something @rel@.</span>
<a name="line-110"></a><span class='hs-definition'>applyRelevance</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Dom</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Dom</span> <span class='hs-varid'>a</span>
<a name="line-111"></a><span class='hs-definition'>applyRelevance</span> <span class='hs-varid'>rel</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mapDomRelevance</span> <span class='hs-layout'>(</span><span class='hs-varid'>rel</span> <span class='hs-varop'>`composeRelevance`</span><span class='hs-layout'>)</span>
<a name="line-112"></a>
<a name="line-113"></a><span class='hs-comment'>-- * Operations on 'Context'.</span>
<a name="line-114"></a>
<a name="line-115"></a><a name="workOnTypes"></a><span class='hs-comment'>-- | Modify the context whenever going from the l.h.s. (term side)</span>
<a name="line-116"></a><span class='hs-comment'>-- of the typing judgement to the r.h.s. (type side).</span>
<a name="line-117"></a><span class='hs-definition'>workOnTypes</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>TCM</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-varid'>a</span>
<a name="line-118"></a><span class='hs-definition'>workOnTypes</span> <span class='hs-varid'>cont</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-119"></a> <span class='hs-varid'>allowed</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>optExperimentalIrrelevance</span> <span class='hs-varop'><$></span> <span class='hs-varid'>pragmaOptions</span>
<a name="line-120"></a> <span class='hs-varid'>verboseBracket</span> <span class='hs-str'>"tc.irr"</span> <span class='hs-num'>20</span> <span class='hs-str'>"workOnTypes"</span> <span class='hs-varop'>$</span> <span class='hs-varid'>workOnTypes'</span> <span class='hs-varid'>allowed</span> <span class='hs-varid'>cont</span>
<a name="line-121"></a>
<a name="line-122"></a><a name="doWorkOnTypes"></a><span class='hs-comment'>-- | Call me if --experimental-irrelevance is set.</span>
<a name="line-123"></a><span class='hs-definition'>doWorkOnTypes</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>TCM</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-varid'>a</span>
<a name="line-124"></a><span class='hs-definition'>doWorkOnTypes</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>verboseBracket</span> <span class='hs-str'>"tc.irr"</span> <span class='hs-num'>20</span> <span class='hs-str'>"workOnTypes"</span> <span class='hs-varop'>.</span> <span class='hs-varid'>workOnTypes'</span> <span class='hs-conid'>True</span>
<a name="line-125"></a>
<a name="line-126"></a><a name="workOnTypes'"></a><span class='hs-comment'>-- | Internal workhorse, expects value of --experimental-irrelevance flag</span>
<a name="line-127"></a><span class='hs-comment'>-- as argument.</span>
<a name="line-128"></a><span class='hs-definition'>workOnTypes'</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-varid'>a</span>
<a name="line-129"></a><span class='hs-definition'>workOnTypes'</span> <span class='hs-varid'>allowed</span> <span class='hs-varid'>cont</span> <span class='hs-keyglyph'>=</span>
<a name="line-130"></a> <span class='hs-keyword'>if</span> <span class='hs-varid'>allowed</span> <span class='hs-keyword'>then</span>
<a name="line-131"></a> <span class='hs-varid'>liftTCM</span> <span class='hs-varop'>$</span> <span class='hs-varid'>modifyContext</span> <span class='hs-layout'>(</span><span class='hs-varid'>modifyContextEntries</span> <span class='hs-varop'>$</span> <span class='hs-varid'>mapDomRelevance</span> <span class='hs-varop'>$</span> <span class='hs-varid'>irrToNonStrict</span><span class='hs-layout'>)</span> <span class='hs-varid'>cont</span>
<a name="line-132"></a> <span class='hs-keyword'>else</span> <span class='hs-varid'>cont</span>
<a name="line-133"></a>
<a name="line-134"></a><a name="applyRelevanceToContext"></a><span class='hs-comment'>-- | (Conditionally) wake up irrelevant variables and make them relevant.</span>
<a name="line-135"></a><span class='hs-comment'>-- For instance,</span>
<a name="line-136"></a><span class='hs-comment'>-- in an irrelevant function argument otherwise irrelevant variables</span>
<a name="line-137"></a><span class='hs-comment'>-- may be used, so they are awoken before type checking the argument.</span>
<a name="line-138"></a><span class='hs-definition'>applyRelevanceToContext</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-varid'>a</span>
<a name="line-139"></a><span class='hs-definition'>applyRelevanceToContext</span> <span class='hs-varid'>rel</span> <span class='hs-keyglyph'>=</span>
<a name="line-140"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>rel</span> <span class='hs-keyword'>of</span>
<a name="line-141"></a> <span class='hs-conid'>Relevant</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>id</span>
<a name="line-142"></a> <span class='hs-conid'>Forced</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>id</span>
<a name="line-143"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>local</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>e</span>
<a name="line-144"></a> <span class='hs-layout'>{</span> <span class='hs-varid'>envContext</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>modifyContextEntries</span> <span class='hs-layout'>(</span><span class='hs-varid'>inverseApplyRelevance</span> <span class='hs-varid'>rel</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>envContext</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-145"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>envLetBindings</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Map</span><span class='hs-varop'>.</span><span class='hs-varid'>map</span>
<a name="line-146"></a> <span class='hs-layout'>(</span><span class='hs-varid'>fmap</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-varid'>inverseApplyRelevance</span> <span class='hs-varid'>rel</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-147"></a> <span class='hs-layout'>(</span><span class='hs-varid'>envLetBindings</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-148"></a> <span class='hs-comment'>-- enable local irr. defs</span>
<a name="line-149"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>envRelevance</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>composeRelevance</span> <span class='hs-varid'>rel</span> <span class='hs-layout'>(</span><span class='hs-varid'>envRelevance</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-150"></a> <span class='hs-comment'>-- enable global irr. defs</span>
<a name="line-151"></a> <span class='hs-layout'>}</span>
<a name="line-152"></a>
<a name="line-153"></a><a name="wakeIrrelevantVars"></a><span class='hs-comment'>-- | Wake up irrelevant variables and make them relevant. For instance,</span>
<a name="line-154"></a><span class='hs-comment'>-- in an irrelevant function argument otherwise irrelevant variables</span>
<a name="line-155"></a><span class='hs-comment'>-- may be used, so they are awoken before type checking the argument.</span>
<a name="line-156"></a><span class='hs-definition'>wakeIrrelevantVars</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>TCM</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>TCM</span> <span class='hs-varid'>a</span>
<a name="line-157"></a><span class='hs-definition'>wakeIrrelevantVars</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applyRelevanceToContext</span> <span class='hs-conid'>Irrelevant</span>
<a name="line-158"></a>
<a name="line-159"></a>
<a name="line-160"></a><span class='hs-comment'>------------------------------------------------------------------------</span>
<a name="line-161"></a><span class='hs-comment'>-- * Tests</span>
<a name="line-162"></a><span class='hs-comment'>------------------------------------------------------------------------</span>
<a name="line-163"></a>
<a name="line-164"></a><a name="prop_galois"></a><span class='hs-definition'>prop_galois</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Relevance</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span>
<a name="line-165"></a><span class='hs-definition'>prop_galois</span> <span class='hs-varid'>r</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>=</span>
<a name="line-166"></a> <span class='hs-varid'>x</span> <span class='hs-varop'>`moreRelevant`</span> <span class='hs-layout'>(</span><span class='hs-varid'>r</span> <span class='hs-varop'>`composeRelevance`</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span>
<a name="line-167"></a> <span class='hs-layout'>(</span><span class='hs-varid'>r</span> <span class='hs-varop'>`inverseComposeRelevance`</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-varop'>`moreRelevant`</span> <span class='hs-varid'>y</span>
<a name="line-168"></a>
<a name="line-169"></a><a name="tests"></a><span class='hs-definition'>tests</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>IO</span> <span class='hs-conid'>Bool</span>
<a name="line-170"></a><span class='hs-definition'>tests</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>runTests</span> <span class='hs-str'>"Agda.TypeChecking.Irrelevance"</span>
<a name="line-171"></a> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>quickCheck'</span> <span class='hs-varid'>prop_galois</span>
<a name="line-172"></a> <span class='hs-keyglyph'>]</span>
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