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<html><head><meta charset="utf-8"><title>Agda.Builtin.Equality</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="Pragma">--no-sized-types</a> <a id="49" class="Pragma">--no-guardedness</a>
<a id="78" class="Pragma">--no-subtyping</a> <a id="93" class="Symbol">#-}</a>
<a id="98" class="Keyword">module</a> <a id="105" href="Agda.Builtin.Equality.html" class="Module">Agda.Builtin.Equality</a> <a id="127" class="Keyword">where</a>
<a id="134" class="Keyword">infix</a> <a id="140" class="Number">4</a> <a id="142" href="Agda.Builtin.Equality.html#151" class="Datatype Operator">_≡_</a>
<a id="146" class="Keyword">data</a> <a id="_≡_"></a><a id="151" href="Agda.Builtin.Equality.html#151" class="Datatype Operator">_≡_</a> <a id="155" class="Symbol">{</a><a id="156" href="Agda.Builtin.Equality.html#156" class="Bound">a</a><a id="157" class="Symbol">}</a> <a id="159" class="Symbol">{</a><a id="160" href="Agda.Builtin.Equality.html#160" class="Bound">A</a> <a id="162" class="Symbol">:</a> <a id="164" href="Agda.Primitive.html#326" class="Primitive">Set</a> <a id="168" href="Agda.Builtin.Equality.html#156" class="Bound">a</a><a id="169" class="Symbol">}</a> <a id="171" class="Symbol">(</a><a id="172" href="Agda.Builtin.Equality.html#172" class="Bound">x</a> <a id="174" class="Symbol">:</a> <a id="176" href="Agda.Builtin.Equality.html#160" class="Bound">A</a><a id="177" class="Symbol">)</a> <a id="179" class="Symbol">:</a> <a id="181" href="Agda.Builtin.Equality.html#160" class="Bound">A</a> <a id="183" class="Symbol"></a> <a id="185" href="Agda.Primitive.html#326" class="Primitive">Set</a> <a id="189" href="Agda.Builtin.Equality.html#156" class="Bound">a</a> <a id="191" class="Keyword">where</a>
<a id="199" class="Keyword">instance</a> <a id="_≡_.refl"></a><a id="208" href="Agda.Builtin.Equality.html#208" class="InductiveConstructor">refl</a> <a id="213" class="Symbol">:</a> <a id="215" href="Agda.Builtin.Equality.html#172" class="Bound">x</a> <a id="217" href="Agda.Builtin.Equality.html#151" class="Datatype Operator"></a> <a id="219" href="Agda.Builtin.Equality.html#172" class="Bound">x</a>
<a id="222" class="Symbol">{-#</a> <a id="226" class="Keyword">BUILTIN</a> <a id="234" class="Keyword">EQUALITY</a> <a id="243" href="Agda.Builtin.Equality.html#151" class="Datatype Operator">_≡_</a> <a id="247" class="Symbol">#-}</a>
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