<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T3"><span class="comment"><font color="firebrick">:: COMMACAT:3</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">y</font>, <font color="Olive" title="b2">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> (  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b1">y</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Olive" title="b2">x</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> &amp;  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <span class="p1">(<span class="default"><a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b1">y</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Olive" title="b1">y</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> ) ;<br/></div></div>
