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<!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>Data.Groupoid</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[
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</script></head><body><div id="package-header"><ul class="links" id="page-menu"><li><a href="src/Data-Groupoid.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">semigroupoids-4.2: Semigroupoids: Category sans id</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Safe Haskell</th><td>Trustworthy</td></tr></table><p class="caption">Data.Groupoid</p></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"><span class="keyword">class</span> <a href="Data-Semigroupoid.html#t:Semigroupoid">Semigroupoid</a> k =&gt; <a href="#t:Groupoid">Groupoid</a> k  <span class="keyword">where</span><ul class="subs"><li><a href="#v:inv">inv</a> ::  k a b -&gt; k b a</li></ul></li></ul></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">class</span> <a href="Data-Semigroupoid.html#t:Semigroupoid">Semigroupoid</a> k =&gt; <a name="t:Groupoid" class="def">Groupoid</a> k  <span class="keyword">where</span><a href="src/Data-Groupoid.html#Groupoid" class="link">Source</a></p><div class="doc"><p>semigroupoid with inverses. This technically should be a category with inverses, except we need to use Ob to define the valid objects for the category
</p></div><div class="subs methods"><p class="caption">Methods</p><p class="src"><a name="v:inv" class="def">inv</a> ::  k a b -&gt; k b a<a href="src/Data-Groupoid.html#inv" class="link">Source</a></p></div><div class="subs instances"><p id="control.i:Groupoid" class="caption collapser" onclick="toggleSection('i:Groupoid')">Instances</p><div id="section.i:Groupoid" class="show"><table><tr><td class="src"><a href="Data-Groupoid.html#t:Groupoid">Groupoid</a> k =&gt; <a href="Data-Groupoid.html#t:Groupoid">Groupoid</a> (<a href="Data-Semigroupoid-Dual.html#t:Dual">Dual</a> k)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Data-Semigroupoid.html#t:Semigroupoid">Semigroupoid</a> k =&gt; <a href="Data-Groupoid.html#t:Groupoid">Groupoid</a> (<a href="Data-Isomorphism.html#t:Iso">Iso</a> k)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Data-Groupoid.html#t:Groupoid">Groupoid</a> j, <a href="Data-Groupoid.html#t:Groupoid">Groupoid</a> k) =&gt; <a href="Data-Groupoid.html#t:Groupoid">Groupoid</a> (<a href="Data-Semigroupoid-Product.html#t:Product">Product</a> j k)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Data-Groupoid.html#t:Groupoid">Groupoid</a> j, <a href="Data-Groupoid.html#t:Groupoid">Groupoid</a> k) =&gt; <a href="Data-Groupoid.html#t:Groupoid">Groupoid</a> (<a href="Data-Semigroupoid-Coproduct.html#t:Coproduct">Coproduct</a> j k)</td><td class="doc empty">&nbsp;</td></tr></table></div></div></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.13.2</p></div></body></html>