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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E26">Th37</font></span>: <a NAME="T37"><span class="comment"><font color="firebrick">:: CAT_4:37</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">C</font> being   <a href="cat_4.html#NM1" title="CAT_4:NM.1">Cartesian_category</a><br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font>, <font color="Olive" title="b4">c</font> being   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Olive" title="b1">C</font> holds <br/> ( <span class="p1">(<span class="default"><a href="cat_4.html#K16" title="CAT_4:func.16">Alpha</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>,<font color="Olive" title="b4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><a href="cat_4.html#K17" title="CAT_4:func.17">Alpha'</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>,<font color="Olive" title="b4">c</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="cat_1.html#K4" title="CAT_1:func.4">id</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <span class="p2">(<span class="default"><font color="Olive" title="b3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Olive" title="b4">c</font></span>)</span></span>)</span> &amp; <span class="p1">(<span class="default"><a href="cat_4.html#K17" title="CAT_4:func.17">Alpha'</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>,<font color="Olive" title="b4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><a href="cat_4.html#K16" title="CAT_4:func.16">Alpha</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>,<font color="Olive" title="b4">c</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="cat_1.html#K4" title="CAT_1:func.4">id</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Olive" title="b3">b</font></span>)</span> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Olive" title="b4">c</font></span>)</span> )</div></div>
