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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.Semigroupoid.Dual</title><link href="ocean.css" rel="stylesheet" type="text/css" title="Ocean" /><script src="haddock-util.js" type="text/javascript"></script><script src="file:///usr/share/javascript/mathjax/MathJax.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-Semigroupoid-Dual.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-5.2.1: Semigroupoids: Category sans id</p></div><div id="content"><div id="module-header"><table class="info"><tr><th valign="top">Copyright</th><td>(C) 2007-2015 Edward Kmett</td></tr><tr><th>License</th><td>BSD-style (see the file LICENSE)</td></tr><tr><th>Maintainer</th><td>Edward Kmett &lt;ekmett@gmail.com&gt;</td></tr><tr><th>Stability</th><td>provisional</td></tr><tr><th>Portability</th><td>portable</td></tr><tr><th>Safe Haskell</th><td>Safe</td></tr><tr><th>Language</th><td>Haskell98</td></tr></table><p class="caption">Data.Semigroupoid.Dual</p></div><div id="description"><p class="caption">Description</p><div class="doc"><p>A semigroupoid satisfies all of the requirements to be a Category except
 for the existence of identity arrows.</p></div></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">newtype</span> <a id="t:Dual" class="def">Dual</a> k a b <a href="src/Data-Semigroupoid-Dual.html#Dual" class="link">Source</a> <a href="#t:Dual" class="selflink">#</a></p><div class="subs constructors"><p class="caption">Constructors</p><table><tr><td class="src"><a id="v:Dual" class="def">Dual</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div class="subs fields"><p class="caption">Fields</p><ul><li><dfn class="src"><a id="v:getDual" class="def">getDual</a> :: k b a</dfn><div class="doc empty">&nbsp;</div></li></ul></div></td></tr></table></div><div class="subs instances"><p id="control.i:Dual" class="caption collapser" onclick="toggleSection('i:Dual')">Instances</p><div id="section.i:Dual" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:Dual:Category:1" class="instance expander" onclick="toggleSection('i:id:Dual:Category:1')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Control-Category.html#t:Category">Category</a> k k1 =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.1.0/Control-Category.html#t:Category">Category</a> k (<a href="Data-Semigroupoid-Dual.html#t:Dual">Dual</a> k k k1)</span> <a href="src/Data-Semigroupoid-Dual.html#line-28" class="link">Source</a> <a href="#t:Dual" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:Dual:Category:1" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:id">id</a> :: cat a a <a href="#v:id" class="selflink">#</a></p><p class="src"><a href="#v:.">(.)</a> :: cat b c -&gt; cat a b -&gt; cat a c <a href="#v:." class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:Dual:Semigroupoid:2" class="instance expander" onclick="toggleSection('i:id:Dual:Semigroupoid:2')"></span> <a href="Data-Semigroupoid.html#t:Semigroupoid">Semigroupoid</a> k k1 =&gt; <a href="Data-Semigroupoid.html#t:Semigroupoid">Semigroupoid</a> k (<a href="Data-Semigroupoid-Dual.html#t:Dual">Dual</a> k k k1)</span> <a href="src/Data-Semigroupoid-Dual.html#line-25" class="link">Source</a> <a href="#t:Dual" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:Dual:Semigroupoid:2" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:o">o</a> :: c j k -&gt; c i j -&gt; c i k <a href="src/Data-Semigroupoid.html#o" class="link">Source</a> <a href="#v:o" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:id:Dual:Groupoid:3" class="instance expander" onclick="toggleSection('i:id:Dual:Groupoid:3')"></span> <a href="Data-Groupoid.html#t:Groupoid">Groupoid</a> k k1 =&gt; <a href="Data-Groupoid.html#t:Groupoid">Groupoid</a> k (<a href="Data-Semigroupoid-Dual.html#t:Dual">Dual</a> k k k1)</span> <a href="src/Data-Groupoid.html#line-29" class="link">Source</a> <a href="#t:Groupoid" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:id:Dual:Groupoid:3" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:inv">inv</a> :: k a b -&gt; k b a <a href="src/Data-Groupoid.html#inv" class="link">Source</a> <a href="#v:inv" class="selflink">#</a></p></div></div></td></tr></table></div></div></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.17.3</p></div></body></html>