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1 2 3 4 5 6 7 | <!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.Number.Natural</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-Number-Natural.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">numbers-3000.2.0.1: Various number types</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Safe Haskell</th><td>Safe</td></tr><tr><th>Language</th><td>Haskell98</td></tr></table><p class="caption">Data.Number.Natural</p></div><div id="description"><p class="caption">Description</p><div class="doc"><p>Lazy natural numbers.
Addition and multiplication recurses over the first argument, i.e.,
<code>1 + n</code> is the way to write the constant time successor function.</p><p>Note that (+) and (*) are not commutative for lazy natural numbers
when considering bottom.</p></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">data</span> <a href="#t:Natural">Natural</a></li><li class="src short"><a href="#v:infinity">infinity</a> :: <a href="Data-Number-Natural.html#t:Natural">Natural</a></li></ul></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">data</span> <a name="t:Natural" class="def">Natural</a> <a href="src/Data-Number-Natural.html#Natural" class="link">Source</a></p><div class="subs instances"><p id="control.i:Natural" class="caption collapser" onclick="toggleSection('i:Natural')">Instances</p><div id="section.i:Natural" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#t:Enum">Enum</a> <a href="Data-Number-Natural.html#t:Natural">Natural</a></span> <a href="src/Data-Number-Natural.html#line-77" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> <a href="Data-Number-Natural.html#t:Natural">Natural</a></span> <a href="src/Data-Number-Natural.html#line-16" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#t:Integral">Integral</a> <a href="Data-Number-Natural.html#t:Natural">Natural</a></span> <a href="src/Data-Number-Natural.html#line-61" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#t:Num">Num</a> <a href="Data-Number-Natural.html#t:Natural">Natural</a></span> <a href="src/Data-Number-Natural.html#line-44" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ord">Ord</a> <a href="Data-Number-Natural.html#t:Natural">Natural</a></span> <a href="src/Data-Number-Natural.html#line-19" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#t:Real">Real</a> <a href="Data-Number-Natural.html#t:Natural">Natural</a></span> <a href="src/Data-Number-Natural.html#line-74" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Text-Show.html#t:Show">Show</a> <a href="Data-Number-Natural.html#t:Natural">Natural</a></span> <a href="src/Data-Number-Natural.html#line-13" class="link">Source</a></td><td class="doc empty"> </td></tr></table></div></div></div><div class="top"><p class="src"><a name="v:infinity" class="def">infinity</a> :: <a href="Data-Number-Natural.html#t:Natural">Natural</a> <a href="src/Data-Number-Natural.html#infinity" class="link">Source</a></p><div class="doc"><p>The infinite natural number.</p></div></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.16.1</p></div></body></html>
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