<!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>Control.Category</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="index.html">Contents</a></li><li><a href="doc-index.html">Index</a></li></ul><p class="caption">base-4.5.1.0: Basic libraries</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Portability</th><td>portable</td></tr><tr><th>Stability</th><td>experimental</td></tr><tr><th>Maintainer</th><td>ashley@semantic.org</td></tr><tr><th>Safe Haskell</th><td>Trustworthy</td></tr></table><p class="caption">Control.Category</p></div><div id="description"><p class="caption">Description</p><div class="doc empty"> </div></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="#t:Category">Category</a> cat <span class="keyword">where</span><ul class="subs"><li><a href="#v:id">id</a> :: cat a a</li><li><a href="#v:.">(.)</a> :: cat b c -> cat a b -> cat a c</li></ul></li><li class="src short"><a href="#v:-60--60--60-">(<<<)</a> :: <a href="Control-Category.html#t:Category">Category</a> cat => cat b c -> cat a b -> cat a c</li><li class="src short"><a href="#v:-62--62--62-">(>>>)</a> :: <a href="Control-Category.html#t:Category">Category</a> cat => cat a b -> cat b c -> cat a c</li></ul></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">class</span> <a name="t:Category" class="def">Category</a> cat <span class="keyword">where</span></p><div class="doc"><p>A class for categories.
id and (.) must form a monoid.
</p></div><div class="subs methods"><p class="caption">Methods</p><p class="src"><a name="v:id" class="def">id</a> :: cat a a</p><div class="doc"><p>the identity morphism
</p></div><p class="src"><a name="v:." class="def">(.)</a> :: cat b c -> cat a b -> cat a c</p><div class="doc"><p>morphism composition
</p></div></div><div class="subs instances"><p id="control.i:Category" class="caption collapser" onclick="toggleSection('i:Category')">Instances</p><div id="section.i:Category" class="show"><table><tr><td class="src"><a href="Control-Category.html#t:Category">Category</a> (->)</td><td class="doc empty"> </td></tr><tr><td class="src"><a href="Control-Monad.html#t:Monad">Monad</a> m => <a href="Control-Category.html#t:Category">Category</a> (<a href="Control-Arrow.html#t:Kleisli">Kleisli</a> m)</td><td class="doc empty"> </td></tr></table></div></div></div><div class="top"><p class="src"><a name="v:-60--60--60-" class="def">(<<<)</a> :: <a href="Control-Category.html#t:Category">Category</a> cat => cat b c -> cat a b -> cat a c</p><div class="doc"><p>Right-to-left composition
</p></div></div><div class="top"><p class="src"><a name="v:-62--62--62-" class="def">(>>>)</a> :: <a href="Control-Category.html#t:Category">Category</a> cat => cat a b -> cat b c -> cat a c</p><div class="doc"><p>Left-to-right composition
</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>
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