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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>Numeric.Rng.Zero</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/Numeric-Rng-Zero.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">algebra-2.0.7: Constructive abstract algebra</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Safe Haskell</th><td>Safe-Infered</td></tr></table><p class="caption">Numeric.Rng.Zero</p></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">newtype</span>  <a name="t:ZeroRng" class="def">ZeroRng</a> r <a href="src/Numeric-Rng-Zero.html#ZeroRng" class="link">Source</a></p><div class="subs constructors"><p class="caption">Constructors</p><table><tr><td class="src"><a name="v:ZeroRng" class="def">ZeroRng</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div class="subs fields"><p class="caption">Fields</p><dl><dt class="src"><a name="v:runZeroRng" class="def">runZeroRng</a> :: r</dt><dd class="doc empty">&nbsp;</dd></dl><div class="clear"></div></div></td></tr></table></div><div class="subs instances"><p id="control.i:ZeroRng" class="caption collapser" onclick="toggleSection('i:ZeroRng')">Instances</p><div id="section.i:ZeroRng" class="show"><table><tr><td class="src"><a href="Numeric-Additive-Group.html#t:Group">Group</a> r =&gt; <a href="Numeric-Algebra-Class.html#t:RightModule">RightModule</a> <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Prelude.html#t:Integer">Integer</a> (<a href="Numeric-Rng-Zero.html#t:ZeroRng">ZeroRng</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> r =&gt; <a href="Numeric-Algebra-Class.html#t:RightModule">RightModule</a> <a href="Numeric-Algebra.html#t:Natural">Natural</a> (<a href="Numeric-Rng-Zero.html#t:ZeroRng">ZeroRng</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Additive-Group.html#t:Group">Group</a> r =&gt; <a href="Numeric-Algebra-Class.html#t:LeftModule">LeftModule</a> <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Prelude.html#t:Integer">Integer</a> (<a href="Numeric-Rng-Zero.html#t:ZeroRng">ZeroRng</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> r =&gt; <a href="Numeric-Algebra-Class.html#t:LeftModule">LeftModule</a> <a href="Numeric-Algebra.html#t:Natural">Natural</a> (<a href="Numeric-Rng-Zero.html#t:ZeroRng">ZeroRng</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Eq.html#t:Eq">Eq</a> r =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Eq.html#t:Eq">Eq</a> (<a href="Numeric-Rng-Zero.html#t:ZeroRng">ZeroRng</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Ord.html#t:Ord">Ord</a> r =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Ord.html#t:Ord">Ord</a> (<a href="Numeric-Rng-Zero.html#t:ZeroRng">ZeroRng</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Text-Read.html#t:Read">Read</a> r =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Text-Read.html#t:Read">Read</a> (<a href="Numeric-Rng-Zero.html#t:ZeroRng">ZeroRng</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Text-Show.html#t:Show">Show</a> r =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Text-Show.html#t:Show">Show</a> (<a href="Numeric-Rng-Zero.html#t:ZeroRng">ZeroRng</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Additive-Class.html#t:Idempotent">Idempotent</a> r =&gt; <a href="Numeric-Additive-Class.html#t:Idempotent">Idempotent</a> (<a href="Numeric-Rng-Zero.html#t:ZeroRng">ZeroRng</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Additive-Class.html#t:Abelian">Abelian</a> r =&gt; <a href="Numeric-Additive-Class.html#t:Abelian">Abelian</a> (<a href="Numeric-Rng-Zero.html#t:ZeroRng">ZeroRng</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Additive-Class.html#t:Additive">Additive</a> r =&gt; <a href="Numeric-Additive-Class.html#t:Additive">Additive</a> (<a href="Numeric-Rng-Zero.html#t:ZeroRng">ZeroRng</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> r =&gt; <a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> (<a href="Numeric-Rng-Zero.html#t:ZeroRng">ZeroRng</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> r, <a href="Numeric-Additive-Class.html#t:Abelian">Abelian</a> r) =&gt; <a href="Numeric-Algebra-Class.html#t:Semiring">Semiring</a> (<a href="Numeric-Rng-Zero.html#t:ZeroRng">ZeroRng</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> r =&gt; <a href="Numeric-Algebra-Class.html#t:Multiplicative">Multiplicative</a> (<a href="Numeric-Rng-Zero.html#t:ZeroRng">ZeroRng</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Additive-Group.html#t:Group">Group</a> r =&gt; <a href="Numeric-Additive-Group.html#t:Group">Group</a> (<a href="Numeric-Rng-Zero.html#t:ZeroRng">ZeroRng</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Additive-Group.html#t:Group">Group</a> r, <a href="Numeric-Additive-Class.html#t:Abelian">Abelian</a> r) =&gt; <a href="Numeric-Rng-Class.html#t:Rng">Rng</a> (<a href="Numeric-Rng-Zero.html#t:ZeroRng">ZeroRng</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> r =&gt; <a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> (<a href="Numeric-Rng-Zero.html#t:ZeroRng">ZeroRng</a> r)</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 2.10.0</p></div></body></html>