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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.Monoid.Null</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-Monoid-Null.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">monoid-subclasses-0.4.1.2: Subclasses of Monoid</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Safe Haskell</th><td>Trustworthy</td></tr><tr><th>Language</th><td>Haskell2010</td></tr></table><p class="caption">Data.Monoid.Null</p></div><div id="description"><p class="caption">Description</p><div class="doc"><p>This module defines the MonoidNull class and some of its instances.</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">class</span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:Monoid">Monoid</a> m =&gt; <a href="#t:MonoidNull">MonoidNull</a> m <span class="keyword">where</span><ul class="subs"><li><a href="#v:null">null</a> :: m -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a></li></ul></li><li class="src short"><span class="keyword">class</span> <a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> m =&gt; <a href="#t:PositiveMonoid">PositiveMonoid</a> m</li></ul></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">class</span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:Monoid">Monoid</a> m =&gt; <a name="t:MonoidNull" class="def">MonoidNull</a> m <span class="keyword">where</span> <a href="src/Data-Monoid-Null.html#MonoidNull" class="link">Source</a></p><div class="doc"><p>Extension of <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:Monoid">Monoid</a></code> that allows testing a value for equality with <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#v:mempty">mempty</a></code>. The following law must hold:</p><pre>null x == (x == mempty)</pre><p>Furthermore, the performance of this method should be constant, <em>i.e.</em>, independent of the length of its argument.</p></div><div class="subs methods"><p class="caption">Methods</p><p class="src"><a name="v:null" class="def">null</a> :: m -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Bool.html#t:Bool">Bool</a> <a href="src/Data-Monoid-Null.html#null" class="link">Source</a></p></div><div class="subs instances"><p id="control.i:MonoidNull" class="caption collapser" onclick="toggleSection('i:MonoidNull')">Instances</p><div id="section.i:MonoidNull" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ordering">Ordering</a></span> <a href="src/Data-Monoid-Null.html#line-49" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> ()</span> <a href="src/Data-Monoid-Null.html#line-46" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:All">All</a></span> <a href="src/Data-Monoid-Null.html#line-52" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:Any">Any</a></span> <a href="src/Data-Monoid-Null.html#line-55" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/bytestring-0.10.6.0/Data-ByteString.html#t:ByteString">ByteString</a></span> <a href="src/Data-Monoid-Null.html#line-85" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/bytestring-0.10.6.0/Data-ByteString-Lazy.html#t:ByteString">ByteString</a></span> <a href="src/Data-Monoid-Null.html#line-89" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-IntSet.html#t:IntSet">IntSet</a></span> <a href="src/Data-Monoid-Null.html#line-107" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> <a href="file:///usr/share/doc/libghc-text-doc/html/Data-Text-Lazy.html#t:Text">Text</a></span> <a href="src/Data-Monoid-Null.html#line-97" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> <a href="file:///usr/share/doc/libghc-text-doc/html/Data-Text.html#t:Text">Text</a></span> <a href="src/Data-Monoid-Null.html#line-93" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> <a href="Data-Monoid-Instances-ByteString-UTF8.html#t:ByteStringUTF8">ByteStringUTF8</a></span> <a href="src/Data-Monoid-Null.html#line-89" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> [x]</span> <a href="src/Data-Monoid-Null.html#line-82" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> a =&gt; <a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:Dual">Dual</a> a)</span> <a href="src/Data-Monoid-Null.html#line-66" class="link">Source</a></td><td class="doc empty">&nbsp;</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, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> a) =&gt; <a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:Sum">Sum</a> a)</span> <a href="src/Data-Monoid-Null.html#line-69" class="link">Source</a></td><td class="doc empty">&nbsp;</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, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> a) =&gt; <a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:Product">Product</a> a)</span> <a href="src/Data-Monoid-Null.html#line-72" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:First">First</a> a)</span> <a href="src/Data-Monoid-Null.html#line-58" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:Last">Last</a> a)</span> <a href="src/Data-Monoid-Null.html#line-62" class="link">Source</a></td><td class="doc empty">&nbsp;</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-Monoid.html#t:Monoid">Monoid</a> a =&gt; <a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Maybe.html#t:Maybe">Maybe</a> a)</span> <a href="src/Data-Monoid-Null.html#line-75" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-IntMap-Strict.html#t:IntMap">IntMap</a> v)</span> <a href="src/Data-Monoid-Null.html#line-104" class="link">Source</a></td><td class="doc empty">&nbsp;</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 =&gt; <a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-Set.html#t:Set">Set</a> a)</span> <a href="src/Data-Monoid-Null.html#line-113" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-Sequence.html#t:Seq">Seq</a> a)</span> <a href="src/Data-Monoid-Null.html#line-110" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> (<a href="file:///usr/share/doc/libghc-vector-doc/html/Data-Vector.html#t:Vector">Vector</a> a)</span> <a href="src/Data-Monoid-Null.html#line-116" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> (<a href="Data-Monoid-Instances-Concat.html#t:Concat">Concat</a> a)</span> <a href="src/Data-Monoid-Null.html#line-64" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Factorial.html#t:StableFactorialMonoid">StableFactorialMonoid</a> a =&gt; <a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> (<a href="Data-Monoid-Instances-Measured.html#t:Measured">Measured</a> a)</span> <a href="src/Data-Monoid-Null.html#line-49" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Monoid-Factorial.html#t:StableFactorialMonoid">StableFactorialMonoid</a> m, <a href="Data-Monoid-Textual.html#t:TextualMonoid">TextualMonoid</a> m, <a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> m) =&gt; <a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> (<a href="Data-Monoid-Instances-Positioned.html#t:LinePositioned">LinePositioned</a> m)</span> <a href="src/Data-Monoid-Null.html#line-128" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Monoid-Factorial.html#t:StableFactorialMonoid">StableFactorialMonoid</a> m, <a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> m) =&gt; <a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> (<a href="Data-Monoid-Instances-Positioned.html#t:OffsetPositioned">OffsetPositioned</a> m)</span> <a href="src/Data-Monoid-Null.html#line-124" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> a, <a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> b) =&gt; <a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> (a, b)</span> <a href="src/Data-Monoid-Null.html#line-79" class="link">Source</a></td><td class="doc empty">&nbsp;</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> k =&gt; <a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-Map-Lazy.html#t:Map">Map</a> k v)</span> <a href="src/Data-Monoid-Null.html#line-101" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> a, <a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> b) =&gt; <a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> (<a href="Data-Monoid-Instances-Stateful.html#t:Stateful">Stateful</a> a b)</span> <a href="src/Data-Monoid-Null.html#line-64" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr></table></div></div></div><div class="top"><p class="src"><span class="keyword">class</span> <a href="Data-Monoid-Null.html#t:MonoidNull">MonoidNull</a> m =&gt; <a name="t:PositiveMonoid" class="def">PositiveMonoid</a> m <a href="src/Data-Monoid-Null.html#PositiveMonoid" class="link">Source</a></p><div class="doc"><p>Subclass of <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:Monoid">Monoid</a></code> for types whose values have no inverse, with the exception of <code><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#v:mempty">mempty</a></code>. More
 formally, the class instances must satisfy the following law:</p><pre>null (x &lt;&gt; y) == (null x &amp;&amp; null y)</pre></div><div class="subs instances"><p id="control.i:PositiveMonoid" class="caption collapser" onclick="toggleSection('i:PositiveMonoid')">Instances</p><div id="section.i:PositiveMonoid" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Ord.html#t:Ordering">Ordering</a></span> <a href="src/Data-Monoid-Null.html#line-120" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> ()</span> <a href="src/Data-Monoid-Null.html#line-119" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:All">All</a></span> <a href="src/Data-Monoid-Null.html#line-121" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:Any">Any</a></span> <a href="src/Data-Monoid-Null.html#line-122" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/bytestring-0.10.6.0/Data-ByteString.html#t:ByteString">ByteString</a></span> <a href="src/Data-Monoid-Null.html#line-123" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/bytestring-0.10.6.0/Data-ByteString-Lazy.html#t:ByteString">ByteString</a></span> <a href="src/Data-Monoid-Null.html#line-124" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-IntSet.html#t:IntSet">IntSet</a></span> <a href="src/Data-Monoid-Null.html#line-134" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> <a href="file:///usr/share/doc/libghc-text-doc/html/Data-Text-Lazy.html#t:Text">Text</a></span> <a href="src/Data-Monoid-Null.html#line-126" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> <a href="file:///usr/share/doc/libghc-text-doc/html/Data-Text.html#t:Text">Text</a></span> <a href="src/Data-Monoid-Null.html#line-125" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> <a href="Data-Monoid-Instances-ByteString-UTF8.html#t:ByteStringUTF8">ByteStringUTF8</a></span> <a href="src/Data-Monoid-Null.html#line-119" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> [x]</span> <a href="src/Data-Monoid-Null.html#line-131" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> a =&gt; <a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:Dual">Dual</a> a)</span> <a href="src/Data-Monoid-Null.html#line-130" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:First">First</a> a)</span> <a href="src/Data-Monoid-Null.html#line-128" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Monoid.html#t:Last">Last</a> a)</span> <a href="src/Data-Monoid-Null.html#line-129" class="link">Source</a></td><td class="doc empty">&nbsp;</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-Monoid.html#t:Monoid">Monoid</a> a =&gt; <a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Maybe.html#t:Maybe">Maybe</a> a)</span> <a href="src/Data-Monoid-Null.html#line-127" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-IntMap-Strict.html#t:IntMap">IntMap</a> v)</span> <a href="src/Data-Monoid-Null.html#line-133" class="link">Source</a></td><td class="doc empty">&nbsp;</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 =&gt; <a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-Set.html#t:Set">Set</a> a)</span> <a href="src/Data-Monoid-Null.html#line-136" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-Sequence.html#t:Seq">Seq</a> a)</span> <a href="src/Data-Monoid-Null.html#line-135" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> (<a href="file:///usr/share/doc/libghc-vector-doc/html/Data-Vector.html#t:Vector">Vector</a> a)</span> <a href="src/Data-Monoid-Null.html#line-137" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> (<a href="Data-Monoid-Instances-Concat.html#t:Concat">Concat</a> a)</span> <a href="src/Data-Monoid-Null.html#line-67" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Data-Monoid-Factorial.html#t:StableFactorialMonoid">StableFactorialMonoid</a> a =&gt; <a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> (<a href="Data-Monoid-Instances-Measured.html#t:Measured">Measured</a> a)</span> <a href="src/Data-Monoid-Null.html#line-52" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Monoid-Factorial.html#t:StableFactorialMonoid">StableFactorialMonoid</a> m, <a href="Data-Monoid-Textual.html#t:TextualMonoid">TextualMonoid</a> m, <a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> m) =&gt; <a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> (<a href="Data-Monoid-Instances-Positioned.html#t:LinePositioned">LinePositioned</a> m)</span> <a href="src/Data-Monoid-Null.html#line-134" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Monoid-Factorial.html#t:StableFactorialMonoid">StableFactorialMonoid</a> m, <a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> m) =&gt; <a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> (<a href="Data-Monoid-Instances-Positioned.html#t:OffsetPositioned">OffsetPositioned</a> m)</span> <a href="src/Data-Monoid-Null.html#line-132" class="link">Source</a></td><td class="doc empty">&nbsp;</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> k =&gt; <a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/containers-0.5.6.2/Data-Map-Lazy.html#t:Map">Map</a> k v)</span> <a href="src/Data-Monoid-Null.html#line-132" class="link">Source</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src clearfix"><span class="inst-left">(<a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> a, <a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> b) =&gt; <a href="Data-Monoid-Null.html#t:PositiveMonoid">PositiveMonoid</a> (<a href="Data-Monoid-Instances-Stateful.html#t:Stateful">Stateful</a> a b)</span> <a href="src/Data-Monoid-Null.html#line-68" class="link">Source</a></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 2.16.1</p></div></body></html>