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25 lines
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<html><head><meta charset="utf-8"><title>Categories.Morphism.Universal</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="Keyword">module</a> <a id="44" href="Categories.Morphism.Universal.html" class="Module">Categories.Morphism.Universal</a> <a id="74" class="Keyword">where</a>
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<a id="81" class="Keyword">open</a> <a id="86" class="Keyword">import</a> <a id="93" href="Level.html" class="Module">Level</a>
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<a id="99" class="Keyword">open</a> <a id="104" class="Keyword">import</a> <a id="111" href="Categories.Category.html" class="Module">Categories.Category</a>
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<a id="131" class="Keyword">open</a> <a id="136" class="Keyword">import</a> <a id="143" href="Categories.Category.Construction.Comma.html" class="Module">Categories.Category.Construction.Comma</a>
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<a id="182" class="Keyword">open</a> <a id="187" class="Keyword">import</a> <a id="194" href="Categories.Functor.html" class="Module">Categories.Functor</a>
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<a id="213" class="Keyword">open</a> <a id="218" class="Keyword">import</a> <a id="225" href="Categories.Object.Initial.html" class="Module">Categories.Object.Initial</a>
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<a id="252" class="Keyword">record</a> <a id="UniversalMorphism"></a><a id="259" href="Categories.Morphism.Universal.html#259" class="Record">UniversalMorphism</a> <a id="277" class="Symbol">{</a><a id="278" href="Categories.Morphism.Universal.html#278" class="Bound">o</a> <a id="280" href="Categories.Morphism.Universal.html#280" class="Bound">ℓ</a> <a id="282" href="Categories.Morphism.Universal.html#282" class="Bound">e</a> <a id="284" href="Categories.Morphism.Universal.html#284" class="Bound">o′</a> <a id="287" href="Categories.Morphism.Universal.html#287" class="Bound">ℓ′</a> <a id="290" href="Categories.Morphism.Universal.html#290" class="Bound">e′</a><a id="292" class="Symbol">}</a> <a id="294" class="Symbol">{</a><a id="295" href="Categories.Morphism.Universal.html#295" class="Bound">C</a> <a id="297" class="Symbol">:</a> <a id="299" href="Categories.Category.Core.html#442" class="Record">Category</a> <a id="308" href="Categories.Morphism.Universal.html#278" class="Bound">o</a> <a id="310" href="Categories.Morphism.Universal.html#280" class="Bound">ℓ</a> <a id="312" href="Categories.Morphism.Universal.html#282" class="Bound">e</a><a id="313" class="Symbol">}</a> <a id="315" class="Symbol">{</a><a id="316" href="Categories.Morphism.Universal.html#316" class="Bound">D</a> <a id="318" class="Symbol">:</a> <a id="320" href="Categories.Category.Core.html#442" class="Record">Category</a> <a id="329" href="Categories.Morphism.Universal.html#284" class="Bound">o′</a> <a id="332" href="Categories.Morphism.Universal.html#287" class="Bound">ℓ′</a> <a id="335" href="Categories.Morphism.Universal.html#290" class="Bound">e′</a><a id="337" class="Symbol">}</a>
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<a id="364" class="Symbol">(</a><a id="365" href="Categories.Morphism.Universal.html#365" class="Bound">X</a> <a id="367" class="Symbol">:</a> <a id="369" href="Categories.Category.Core.html#559" class="Field">Category.Obj</a> <a id="382" href="Categories.Morphism.Universal.html#295" class="Bound">C</a><a id="383" class="Symbol">)</a> <a id="385" class="Symbol">(</a><a id="386" href="Categories.Morphism.Universal.html#386" class="Bound">F</a> <a id="388" class="Symbol">:</a> <a id="390" href="Categories.Functor.Core.html#248" class="Record">Functor</a> <a id="398" href="Categories.Morphism.Universal.html#316" class="Bound">D</a> <a id="400" href="Categories.Morphism.Universal.html#295" class="Bound">C</a><a id="401" class="Symbol">)</a> <a id="403" class="Symbol">:</a> <a id="405" href="Agda.Primitive.html#388" class="Primitive">Set</a> <a id="409" class="Symbol">(</a><a id="410" href="Categories.Morphism.Universal.html#282" class="Bound">e</a> <a id="412" href="Agda.Primitive.html#961" class="Primitive Operator">⊔</a> <a id="414" href="Categories.Morphism.Universal.html#280" class="Bound">ℓ</a> <a id="416" href="Agda.Primitive.html#961" class="Primitive Operator">⊔</a> <a id="418" href="Categories.Morphism.Universal.html#284" class="Bound">o′</a> <a id="421" href="Agda.Primitive.html#961" class="Primitive Operator">⊔</a> <a id="423" href="Categories.Morphism.Universal.html#287" class="Bound">ℓ′</a> <a id="426" href="Agda.Primitive.html#961" class="Primitive Operator">⊔</a> <a id="428" href="Categories.Morphism.Universal.html#290" class="Bound">e′</a><a id="430" class="Symbol">)</a> <a id="432" class="Keyword">where</a>
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<a id="UniversalMorphism.X↙F"></a><a id="440" href="Categories.Morphism.Universal.html#440" class="Function">X↙F</a> <a id="444" class="Symbol">:</a> <a id="446" href="Categories.Category.Core.html#442" class="Record">Category</a> <a id="455" class="Symbol">_</a> <a id="457" class="Symbol">_</a> <a id="459" class="Symbol">_</a>
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<a id="463" href="Categories.Morphism.Universal.html#440" class="Function">X↙F</a> <a id="467" class="Symbol">=</a> <a id="469" href="Categories.Morphism.Universal.html#365" class="Bound">X</a> <a id="471" href="Categories.Category.Construction.Comma.html#4320" class="Function Operator">↙</a> <a id="473" href="Categories.Morphism.Universal.html#386" class="Bound">F</a>
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<a id="478" class="Keyword">private</a>
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<a id="490" class="Keyword">module</a> <a id="UniversalMorphism.X↙F"></a><a id="497" href="Categories.Morphism.Universal.html#497" class="Module">X↙F</a> <a id="501" class="Symbol">=</a> <a id="503" href="Categories.Category.Core.html#442" class="Module">Category</a> <a id="512" href="Categories.Morphism.Universal.html#440" class="Function">X↙F</a>
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<a id="522" class="Keyword">field</a>
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<a id="UniversalMorphism.initial"></a><a id="532" href="Categories.Morphism.Universal.html#532" class="Field">initial</a> <a id="540" class="Symbol">:</a> <a id="542" href="Categories.Object.Initial.html#760" class="Record">Initial</a> <a id="550" href="Categories.Morphism.Universal.html#440" class="Function">X↙F</a>
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<a id="557" class="Keyword">module</a> <a id="UniversalMorphism.initial"></a><a id="564" href="Categories.Morphism.Universal.html#564" class="Module">initial</a> <a id="572" class="Symbol">=</a> <a id="574" href="Categories.Object.Initial.html#760" class="Module">Initial</a> <a id="582" href="Categories.Morphism.Universal.html#532" class="Field">initial</a>
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<a id="592" class="Keyword">open</a> <a id="597" href="Categories.Morphism.Universal.html#564" class="Module">initial</a> <a id="605" class="Keyword">public</a>
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</pre></body></html>
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