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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">--cubical-compatible</a> <a id="34" class="Pragma">--safe</a> <a id="41" class="Pragma">--no-sized-types</a> <a id="58" class="Pragma">--no-guardedness</a> <a id="75" class="Symbol">#-}</a>
<a id="80" class="Keyword">module</a> <a id="87" href="Agda.Builtin.Equality.html" class="Module">Agda.Builtin.Equality</a> <a id="109" class="Keyword">where</a>
<a id="116" class="Keyword">infix</a> <a id="122" class="Number">4</a> <a id="124" href="Agda.Builtin.Equality.html#133" class="Datatype Operator">_≡_</a>
<a id="128" class="Keyword">data</a> <a id="_≡_"></a><a id="133" href="Agda.Builtin.Equality.html#133" class="Datatype Operator">_≡_</a> <a id="137" class="Symbol">{</a><a id="138" href="Agda.Builtin.Equality.html#138" class="Bound">a</a><a id="139" class="Symbol">}</a> <a id="141" class="Symbol">{</a><a id="142" href="Agda.Builtin.Equality.html#142" class="Bound">A</a> <a id="144" class="Symbol">:</a> <a id="146" href="Agda.Primitive.html#320" class="Primitive">Set</a> <a id="150" href="Agda.Builtin.Equality.html#138" class="Bound">a</a><a id="151" class="Symbol">}</a> <a id="153" class="Symbol">(</a><a id="154" href="Agda.Builtin.Equality.html#154" class="Bound">x</a> <a id="156" class="Symbol">:</a> <a id="158" href="Agda.Builtin.Equality.html#142" class="Bound">A</a><a id="159" class="Symbol">)</a> <a id="161" class="Symbol">:</a> <a id="163" href="Agda.Builtin.Equality.html#142" class="Bound">A</a> <a id="165" class="Symbol"></a> <a id="167" href="Agda.Primitive.html#320" class="Primitive">Set</a> <a id="171" href="Agda.Builtin.Equality.html#138" class="Bound">a</a> <a id="173" class="Keyword">where</a>
<a id="181" class="Keyword">instance</a> <a id="_≡_.refl"></a><a id="190" href="Agda.Builtin.Equality.html#190" class="InductiveConstructor">refl</a> <a id="195" class="Symbol">:</a> <a id="197" href="Agda.Builtin.Equality.html#154" class="Bound">x</a> <a id="199" href="Agda.Builtin.Equality.html#133" class="Datatype Operator"></a> <a id="201" href="Agda.Builtin.Equality.html#154" class="Bound">x</a>
<a id="204" class="Symbol">{-#</a> <a id="208" class="Keyword">BUILTIN</a> <a id="216" class="Keyword">EQUALITY</a> <a id="225" href="Agda.Builtin.Equality.html#133" class="Datatype Operator">_≡_</a> <a id="229" class="Symbol">#-}</a>
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