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<title>src/Data/Profunctor/Monoid.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE RankNTypes #-}</span>
<a name="line-2"></a><span class='hs-comment'>{-# LANGUAGE TypeOperators #-}</span>
<a name="line-3"></a><span class='hs-comment'>{-# LANGUAGE NoImplicitPrelude #-}</span>
<a name="line-4"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Profunctor</span><span class='hs-varop'>.</span><span class='hs-conid'>Monoid</span> <span class='hs-keyword'>where</span>
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<a name="line-6"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Category</span>
<a name="line-7"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Profunctor</span>
<a name="line-8"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Profunctor</span><span class='hs-varop'>.</span><span class='hs-conid'>Composition</span>
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<a name="line-10"></a><span class='hs-comment'>-- | a 'Category' that is also a 'Profunctor' is a 'Monoid' in @Prof@</span>
<a name="line-11"></a>
<a name="line-12"></a><a name="eta"></a><span class='hs-definition'>eta</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Profunctor</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-conid'>Category</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>-></span><span class='hs-layout'>)</span> <span class='hs-conop'>:-></span> <span class='hs-varid'>p</span>
<a name="line-13"></a><span class='hs-definition'>eta</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rmap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>id</span>
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<a name="line-15"></a><a name="mu"></a><span class='hs-definition'>mu</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Category</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Procompose</span> <span class='hs-varid'>p</span> <span class='hs-varid'>p</span> <span class='hs-conop'>:-></span> <span class='hs-varid'>p</span>
<a name="line-16"></a><span class='hs-definition'>mu</span> <span class='hs-layout'>(</span><span class='hs-conid'>Procompose</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>g</span>
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