<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"><html xmlns="http://www.w3.org/1999/xhtml"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /><title>Agda.TypeChecking.Conversion</title><link href="ocean.css" rel="stylesheet" type="text/css" title="Ocean" /><script src="haddock-util.js" type="text/javascript"></script><script type="text/javascript">//<![CDATA[
window.onload = function () {pageLoad();setSynopsis("mini_Agda-TypeChecking-Conversion.html");};
//]]>
</script></head><body><div id="package-header"><ul class="links" id="page-menu"><li><a href="src/Agda-TypeChecking-Conversion.html">Source</a></li><li><a href="index.html">Contents</a></li><li><a href="doc-index.html">Index</a></li></ul><p class="caption">Agda-2.3.2.1: A dependently typed functional programming language and proof assistant</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Safe Haskell</th><td>None</td></tr></table><p class="caption">Agda.TypeChecking.Conversion</p></div><div id="table-of-contents"><p class="caption">Contents</p><ul><li><a href="#g:1">Types
</a></li><li><a href="#g:2">Sorts
</a></li></ul></div><div id="synopsis"><p id="control.syn" class="caption expander" onclick="toggleSection('syn')">Synopsis</p><ul id="section.syn" class="hide" onclick="toggleSection('syn')"><li class="src short"><a href="#v:mlevel">mlevel</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> (<a href="/usr/share/doc/ghc/html/libraries/base-4.5.1.0/Data-Maybe.html#t:Maybe">Maybe</a> <a href="Agda-Syntax-Internal.html#t:Term">Term</a>)</li><li class="src short"><a href="#v:sameVars">sameVars</a> :: <a href="Agda-Syntax-Internal.html#t:Args">Args</a> -> <a href="Agda-Syntax-Internal.html#t:Args">Args</a> -> <a href="/usr/share/doc/ghc/html/libraries/base-4.5.1.0/Data-Bool.html#t:Bool">Bool</a></li><li class="src short"><a href="#v:intersectVars">intersectVars</a> :: <a href="Agda-Syntax-Internal.html#t:Args">Args</a> -> <a href="Agda-Syntax-Internal.html#t:Args">Args</a> -> <a href="/usr/share/doc/ghc/html/libraries/base-4.5.1.0/Data-Maybe.html#t:Maybe">Maybe</a> [<a href="/usr/share/doc/ghc/html/libraries/base-4.5.1.0/Data-Bool.html#t:Bool">Bool</a>]</li><li class="src short"><a href="#v:equalTerm">equalTerm</a> :: <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:equalAtom">equalAtom</a> :: <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:equalType">equalType</a> :: <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:convError">convError</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:TypeError">TypeError</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:compareTerm">compareTerm</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:Comparison">Comparison</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:unifyPointers">unifyPointers</a> :: t -> t1 -> t2 -> t3 -> t3</li><li class="src short"><a href="#v:compareTerm-39-">compareTerm'</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:Comparison">Comparison</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:compareTel">compareTel</a> :: <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:Comparison">Comparison</a> -> <a href="Agda-Syntax-Internal.html#t:Telescope">Telescope</a> -> <a href="Agda-Syntax-Internal.html#t:Telescope">Telescope</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:compareAtom">compareAtom</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:Comparison">Comparison</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:compareRelevance">compareRelevance</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:Comparison">Comparison</a> -> <a href="Agda-Syntax-Common.html#t:Relevance">Relevance</a> -> <a href="Agda-Syntax-Common.html#t:Relevance">Relevance</a> -> <a href="/usr/share/doc/ghc/html/libraries/base-4.5.1.0/Data-Bool.html#t:Bool">Bool</a></li><li class="src short"><a href="#v:compareElims">compareElims</a> :: [<a href="Agda-TypeChecking-Monad-Base.html#t:Polarity">Polarity</a>] -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> [<a href="Agda-Syntax-Internal.html#t:Elim">Elim</a>] -> [<a href="Agda-Syntax-Internal.html#t:Elim">Elim</a>] -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:compareIrrelevant">compareIrrelevant</a> :: <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:compareWithPol">compareWithPol</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:Polarity">Polarity</a> -> (<a href="Agda-TypeChecking-Monad-Base.html#t:Comparison">Comparison</a> -> a -> a -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a>) -> a -> a -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:compareArgs">compareArgs</a> :: [<a href="Agda-TypeChecking-Monad-Base.html#t:Polarity">Polarity</a>] -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-Syntax-Internal.html#t:Args">Args</a> -> <a href="Agda-Syntax-Internal.html#t:Args">Args</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:compareType">compareType</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:Comparison">Comparison</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:leqType">leqType</a> :: <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:coerce">coerce</a> :: <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="Agda-Syntax-Internal.html#t:Term">Term</a></li><li class="src short"><a href="#v:compareSort">compareSort</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:Comparison">Comparison</a> -> <a href="Agda-Syntax-Internal.html#t:Sort">Sort</a> -> <a href="Agda-Syntax-Internal.html#t:Sort">Sort</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:leqSort">leqSort</a> :: <a href="Agda-Syntax-Internal.html#t:Sort">Sort</a> -> <a href="Agda-Syntax-Internal.html#t:Sort">Sort</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:leqLevel">leqLevel</a> :: <a href="Agda-Syntax-Internal.html#t:Level">Level</a> -> <a href="Agda-Syntax-Internal.html#t:Level">Level</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:equalLevel">equalLevel</a> :: <a href="Agda-Syntax-Internal.html#t:Level">Level</a> -> <a href="Agda-Syntax-Internal.html#t:Level">Level</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li><li class="src short"><a href="#v:equalSort">equalSort</a> :: <a href="Agda-Syntax-Internal.html#t:Sort">Sort</a> -> <a href="Agda-Syntax-Internal.html#t:Sort">Sort</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a></li></ul></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><a name="v:mlevel" class="def">mlevel</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> (<a href="/usr/share/doc/ghc/html/libraries/base-4.5.1.0/Data-Maybe.html#t:Maybe">Maybe</a> <a href="Agda-Syntax-Internal.html#t:Term">Term</a>)<a href="src/Agda-TypeChecking-Conversion.html#mlevel" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:sameVars" class="def">sameVars</a> :: <a href="Agda-Syntax-Internal.html#t:Args">Args</a> -> <a href="Agda-Syntax-Internal.html#t:Args">Args</a> -> <a href="/usr/share/doc/ghc/html/libraries/base-4.5.1.0/Data-Bool.html#t:Bool">Bool</a><a href="src/Agda-TypeChecking-Conversion.html#sameVars" class="link">Source</a></p><div class="doc"><p>Check if to lists of arguments are the same (and all variables).
Precondition: the lists have the same length.
</p></div></div><div class="top"><p class="src"><a name="v:intersectVars" class="def">intersectVars</a> :: <a href="Agda-Syntax-Internal.html#t:Args">Args</a> -> <a href="Agda-Syntax-Internal.html#t:Args">Args</a> -> <a href="/usr/share/doc/ghc/html/libraries/base-4.5.1.0/Data-Maybe.html#t:Maybe">Maybe</a> [<a href="/usr/share/doc/ghc/html/libraries/base-4.5.1.0/Data-Bool.html#t:Bool">Bool</a>]<a href="src/Agda-TypeChecking-Conversion.html#intersectVars" class="link">Source</a></p><div class="doc"><p><code>intersectVars us vs</code> checks whether all relevant elements in <code>us</code> and <code>vs</code>
are variables, and if yes, returns a prune list which says <code>True</code> for
arguments which are different and can be pruned.
</p></div></div><div class="top"><p class="src"><a name="v:equalTerm" class="def">equalTerm</a> :: <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#equalTerm" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:equalAtom" class="def">equalAtom</a> :: <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#equalAtom" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:equalType" class="def">equalType</a> :: <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#equalType" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:convError" class="def">convError</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:TypeError">TypeError</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#convError" class="link">Source</a></p><div class="doc"><p>Ignore errors in irrelevant context.
</p></div></div><div class="top"><p class="src"><a name="v:compareTerm" class="def">compareTerm</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:Comparison">Comparison</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#compareTerm" class="link">Source</a></p><div class="doc"><p>Type directed equality on values.
</p></div></div><div class="top"><p class="src"><a name="v:unifyPointers" class="def">unifyPointers</a> :: t -> t1 -> t2 -> t3 -> t3<a href="src/Agda-TypeChecking-Conversion.html#unifyPointers" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:compareTerm-39-" class="def">compareTerm'</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:Comparison">Comparison</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#compareTerm%27" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:compareTel" class="def">compareTel</a> :: <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:Comparison">Comparison</a> -> <a href="Agda-Syntax-Internal.html#t:Telescope">Telescope</a> -> <a href="Agda-Syntax-Internal.html#t:Telescope">Telescope</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#compareTel" class="link">Source</a></p><div class="doc"><p><code>compareTel t1 t2 cmp tel1 tel1</code> checks whether pointwise
<code>tel1 `cmp` tel2</code> and complains that <code>t2 `cmp` t1</code> failed if
not.
</p></div></div><div class="top"><p class="src"><a name="v:compareAtom" class="def">compareAtom</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:Comparison">Comparison</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#compareAtom" class="link">Source</a></p><div class="doc"><p>Syntax directed equality on atomic values
</p></div></div><div class="top"><p class="src"><a name="v:compareRelevance" class="def">compareRelevance</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:Comparison">Comparison</a> -> <a href="Agda-Syntax-Common.html#t:Relevance">Relevance</a> -> <a href="Agda-Syntax-Common.html#t:Relevance">Relevance</a> -> <a href="/usr/share/doc/ghc/html/libraries/base-4.5.1.0/Data-Bool.html#t:Bool">Bool</a><a href="src/Agda-TypeChecking-Conversion.html#compareRelevance" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:compareElims" class="def">compareElims</a> :: [<a href="Agda-TypeChecking-Monad-Base.html#t:Polarity">Polarity</a>] -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> [<a href="Agda-Syntax-Internal.html#t:Elim">Elim</a>] -> [<a href="Agda-Syntax-Internal.html#t:Elim">Elim</a>] -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#compareElims" class="link">Source</a></p><div class="doc"><p>Type-directed equality on eliminator spines
</p></div></div><div class="top"><p class="src"><a name="v:compareIrrelevant" class="def">compareIrrelevant</a> :: <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#compareIrrelevant" class="link">Source</a></p><div class="doc"><p><a href="Compare.html">Compare</a> two terms in irrelevant position. This always succeeds.
However, we can dig for solutions of irrelevant metas in the
terms we compare.
(Certainly not the systematic solution, that'd be proof search...)
</p></div></div><div class="top"><p class="src"><a name="v:compareWithPol" class="def">compareWithPol</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:Polarity">Polarity</a> -> (<a href="Agda-TypeChecking-Monad-Base.html#t:Comparison">Comparison</a> -> a -> a -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a>) -> a -> a -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#compareWithPol" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:compareArgs" class="def">compareArgs</a> :: [<a href="Agda-TypeChecking-Monad-Base.html#t:Polarity">Polarity</a>] -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-Syntax-Internal.html#t:Args">Args</a> -> <a href="Agda-Syntax-Internal.html#t:Args">Args</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#compareArgs" class="link">Source</a></p><div class="doc"><p>Type-directed equality on argument lists
</p></div></div><h1 id="g:1">Types
</h1><div class="top"><p class="src"><a name="v:compareType" class="def">compareType</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:Comparison">Comparison</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#compareType" class="link">Source</a></p><div class="doc"><p>Equality on Types
</p></div></div><div class="top"><p class="src"><a name="v:leqType" class="def">leqType</a> :: <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#leqType" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:coerce" class="def">coerce</a> :: <a href="Agda-Syntax-Internal.html#t:Term">Term</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-Syntax-Internal.html#t:Type">Type</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="Agda-Syntax-Internal.html#t:Term">Term</a><a href="src/Agda-TypeChecking-Conversion.html#coerce" class="link">Source</a></p><div class="doc"><p><code>coerce v a b</code> coerces <code>v : a</code> to type <code>b</code>, returning a <code>v' : b</code>
with maybe extra hidden applications or hidden abstractions.
</p><p>In principle, this function can host coercive subtyping, but
currently it only tries to fix problems with hidden function types.
</p></div></div><h1 id="g:2">Sorts
</h1><div class="top"><p class="src"><a name="v:compareSort" class="def">compareSort</a> :: <a href="Agda-TypeChecking-Monad-Base.html#t:Comparison">Comparison</a> -> <a href="Agda-Syntax-Internal.html#t:Sort">Sort</a> -> <a href="Agda-Syntax-Internal.html#t:Sort">Sort</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#compareSort" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:leqSort" class="def">leqSort</a> :: <a href="Agda-Syntax-Internal.html#t:Sort">Sort</a> -> <a href="Agda-Syntax-Internal.html#t:Sort">Sort</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#leqSort" class="link">Source</a></p><div class="doc"><p>Check that the first sort is less or equal to the second.
</p></div></div><div class="top"><p class="src"><a name="v:leqLevel" class="def">leqLevel</a> :: <a href="Agda-Syntax-Internal.html#t:Level">Level</a> -> <a href="Agda-Syntax-Internal.html#t:Level">Level</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#leqLevel" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:equalLevel" class="def">equalLevel</a> :: <a href="Agda-Syntax-Internal.html#t:Level">Level</a> -> <a href="Agda-Syntax-Internal.html#t:Level">Level</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#equalLevel" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:equalSort" class="def">equalSort</a> :: <a href="Agda-Syntax-Internal.html#t:Sort">Sort</a> -> <a href="Agda-Syntax-Internal.html#t:Sort">Sort</a> -> <a href="Agda-TypeChecking-Monad-Base.html#t:TCM">TCM</a> <a href="/usr/share/doc/ghc/html/libraries/ghc-prim-0.2.0.0/GHC-Tuple.html#t:-40--41-">()</a><a href="src/Agda-TypeChecking-Conversion.html#equalSort" class="link">Source</a></p><div class="doc"><p>Check that the first sort equal to the second.
</p></div></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.11.0</p></div></body></html>
