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<html><head><meta charset="utf-8"><title>KUIP</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">--safe</a> <a id="20" class="Symbol">#-}</a>
<a id="24" class="Keyword">module</a> <a id="31" href="KUIP.html" class="Module">KUIP</a> <a id="36" class="Keyword">where</a>
<a id="43" class="Keyword">open</a> <a id="48" class="Keyword">import</a> <a id="55" href="Agda.Primitive.html" class="Module">Agda.Primitive</a> <a id="70" class="Keyword">renaming</a> <a id="79" class="Symbol">(</a><a id="80" href="Agda.Primitive.html#326" class="Primitive">Set</a> <a id="84" class="Symbol">to</a> <a id="87" class="Primitive">𝒰</a><a id="88" class="Symbol">)</a>
<a id="90" class="Keyword">open</a> <a id="95" class="Keyword">import</a> <a id="102" href="Agda.Builtin.Equality.html" class="Module">Agda.Builtin.Equality</a>
<a id="UIP"></a><a id="125" href="KUIP.html#125" class="Function">UIP</a> <a id="129" class="Symbol">:</a> <a id="131" class="Symbol"></a> <a id="133" class="Symbol">{</a><a id="134" href="KUIP.html#134" class="Bound"></a><a id="135" class="Symbol">}</a> <a id="137" class="Symbol">{</a><a id="138" href="KUIP.html#138" class="Bound">A</a> <a id="140" class="Symbol">:</a> <a id="142" href="KUIP.html#87" class="Primitive">𝒰</a> <a id="144" href="KUIP.html#134" class="Bound"></a><a id="145" class="Symbol">}</a> <a id="147" class="Symbol">{</a><a id="148" href="KUIP.html#148" class="Bound">x</a> <a id="150" href="KUIP.html#150" class="Bound">y</a> <a id="152" class="Symbol">:</a> <a id="154" href="KUIP.html#138" class="Bound">A</a><a id="155" class="Symbol">}</a> <a id="157" class="Symbol">(</a><a id="158" href="KUIP.html#158" class="Bound">p</a> <a id="160" href="KUIP.html#160" class="Bound">q</a> <a id="162" class="Symbol">:</a> <a id="164" href="KUIP.html#148" class="Bound">x</a> <a id="166" href="Agda.Builtin.Equality.html#151" class="Datatype Operator"></a> <a id="168" href="KUIP.html#150" class="Bound">y</a><a id="169" class="Symbol">)</a> <a id="171" class="Symbol"></a> <a id="173" href="KUIP.html#158" class="Bound">p</a> <a id="175" href="Agda.Builtin.Equality.html#151" class="Datatype Operator"></a> <a id="177" href="KUIP.html#160" class="Bound">q</a>
<a id="179" href="KUIP.html#125" class="Function">UIP</a> <a id="183" href="Agda.Builtin.Equality.html#208" class="InductiveConstructor">refl</a> <a id="188" href="Agda.Builtin.Equality.html#208" class="InductiveConstructor">refl</a> <a id="193" class="Symbol">=</a> <a id="195" href="Agda.Builtin.Equality.html#208" class="InductiveConstructor">refl</a>
</pre></body></html>