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27 lines
No EOL
6.1 KiB
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<html><head><meta charset="utf-8"><title>Categories.Category.Cartesian.Bundle</title><link rel="stylesheet" href="Agda.css"></head><body><pre class="Agda"><a id="1" class="Symbol">{-#</a> <a id="5" class="Keyword">OPTIONS</a> <a id="13" class="Pragma">--without-K</a> <a id="25" class="Pragma">--safe</a> <a id="32" class="Symbol">#-}</a>
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<a id="37" class="Comment">-- Bundled version of a Cartesian Category</a>
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<a id="80" class="Keyword">module</a> <a id="87" href="Categories.Category.Cartesian.Bundle.html" class="Module">Categories.Category.Cartesian.Bundle</a> <a id="124" class="Keyword">where</a>
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<a id="131" class="Keyword">open</a> <a id="136" class="Keyword">import</a> <a id="143" href="Level.html" class="Module">Level</a>
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<a id="150" class="Keyword">open</a> <a id="155" class="Keyword">import</a> <a id="162" href="Categories.Category.Core.html" class="Module">Categories.Category.Core</a> <a id="187" class="Keyword">using</a> <a id="193" class="Symbol">(</a><a id="194" href="Categories.Category.Core.html#442" class="Record">Category</a><a id="202" class="Symbol">)</a>
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<a id="204" class="Keyword">open</a> <a id="209" class="Keyword">import</a> <a id="216" href="Categories.Category.Cartesian.html" class="Module">Categories.Category.Cartesian</a> <a id="246" class="Keyword">using</a> <a id="252" class="Symbol">(</a><a id="253" href="Categories.Category.Cartesian.html#727" class="Record">Cartesian</a><a id="262" class="Symbol">)</a>
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<a id="264" class="Keyword">open</a> <a id="269" class="Keyword">import</a> <a id="276" href="Categories.Category.Cartesian.Monoidal.html" class="Module">Categories.Category.Cartesian.Monoidal</a> <a id="315" class="Keyword">using</a> <a id="321" class="Symbol">(</a><a id="322" class="Keyword">module</a> <a id="329" href="Categories.Category.Cartesian.Monoidal.html#1139" class="Module">CartesianMonoidal</a><a id="346" class="Symbol">)</a>
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<a id="348" class="Keyword">open</a> <a id="353" class="Keyword">import</a> <a id="360" href="Categories.Category.Monoidal.html" class="Module">Categories.Category.Monoidal</a> <a id="389" class="Keyword">using</a> <a id="395" class="Symbol">(</a><a id="396" href="Categories.Category.Monoidal.Bundle.html#405" class="Record">MonoidalCategory</a><a id="412" class="Symbol">)</a>
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<a id="415" class="Keyword">record</a> <a id="CartesianCategory"></a><a id="422" href="Categories.Category.Cartesian.Bundle.html#422" class="Record">CartesianCategory</a> <a id="440" href="Categories.Category.Cartesian.Bundle.html#440" class="Bound">o</a> <a id="442" href="Categories.Category.Cartesian.Bundle.html#442" class="Bound">ℓ</a> <a id="444" href="Categories.Category.Cartesian.Bundle.html#444" class="Bound">e</a> <a id="446" class="Symbol">:</a> <a id="448" href="Agda.Primitive.html#388" class="Primitive">Set</a> <a id="452" class="Symbol">(</a><a id="453" href="Agda.Primitive.html#931" class="Primitive">suc</a> <a id="457" class="Symbol">(</a><a id="458" href="Categories.Category.Cartesian.Bundle.html#440" class="Bound">o</a> <a id="460" href="Agda.Primitive.html#961" class="Primitive Operator">⊔</a> <a id="462" href="Categories.Category.Cartesian.Bundle.html#442" class="Bound">ℓ</a> <a id="464" href="Agda.Primitive.html#961" class="Primitive Operator">⊔</a> <a id="466" href="Categories.Category.Cartesian.Bundle.html#444" class="Bound">e</a><a id="467" class="Symbol">))</a> <a id="470" class="Keyword">where</a>
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<a id="478" class="Keyword">field</a>
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<a id="CartesianCategory.U"></a><a id="488" href="Categories.Category.Cartesian.Bundle.html#488" class="Field">U</a> <a id="498" class="Symbol">:</a> <a id="500" href="Categories.Category.Core.html#442" class="Record">Category</a> <a id="509" href="Categories.Category.Cartesian.Bundle.html#440" class="Bound">o</a> <a id="511" href="Categories.Category.Cartesian.Bundle.html#442" class="Bound">ℓ</a> <a id="513" href="Categories.Category.Cartesian.Bundle.html#444" class="Bound">e</a> <a id="516" class="Comment">-- U for underlying</a>
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<a id="CartesianCategory.cartesian"></a><a id="540" href="Categories.Category.Cartesian.Bundle.html#540" class="Field">cartesian</a> <a id="550" class="Symbol">:</a> <a id="552" href="Categories.Category.Cartesian.html#727" class="Record">Cartesian</a> <a id="562" href="Categories.Category.Cartesian.Bundle.html#488" class="Field">U</a>
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<a id="567" class="Keyword">open</a> <a id="572" href="Categories.Category.Core.html#442" class="Module">Category</a> <a id="581" href="Categories.Category.Cartesian.Bundle.html#488" class="Field">U</a> <a id="583" class="Keyword">public</a>
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<a id="592" class="Keyword">open</a> <a id="597" href="Categories.Category.Cartesian.html#727" class="Module">Cartesian</a> <a id="607" href="Categories.Category.Cartesian.Bundle.html#540" class="Field">cartesian</a> <a id="617" class="Keyword">public</a>
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<a id="CartesianCategory.monoidalCategory"></a><a id="627" href="Categories.Category.Cartesian.Bundle.html#627" class="Function">monoidalCategory</a> <a id="644" class="Symbol">:</a> <a id="646" href="Categories.Category.Monoidal.Bundle.html#405" class="Record">MonoidalCategory</a> <a id="663" href="Categories.Category.Cartesian.Bundle.html#440" class="Bound">o</a> <a id="665" href="Categories.Category.Cartesian.Bundle.html#442" class="Bound">ℓ</a> <a id="667" href="Categories.Category.Cartesian.Bundle.html#444" class="Bound">e</a>
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<a id="671" href="Categories.Category.Cartesian.Bundle.html#627" class="Function">monoidalCategory</a> <a id="688" class="Symbol">=</a> <a id="690" class="Keyword">record</a>
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<a id="701" class="Symbol">{</a> <a id="703" href="Categories.Category.Monoidal.Bundle.html#470" class="Field">U</a> <a id="712" class="Symbol">=</a> <a id="714" href="Categories.Category.Cartesian.Bundle.html#488" class="Field">U</a>
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<a id="720" class="Symbol">;</a> <a id="722" href="Categories.Category.Monoidal.Bundle.html#500" class="Field">monoidal</a> <a id="731" class="Symbol">=</a> <a id="733" href="Categories.Category.Cartesian.Monoidal.html#5400" class="Function">CartesianMonoidal.monoidal</a> <a id="760" href="Categories.Category.Cartesian.Bundle.html#540" class="Field">cartesian</a>
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<a id="774" class="Symbol">}</a>
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