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<div><span class="kw">theorem </span><a NAME="T40"><span class="comment"><font color="firebrick">:: CLASSES5:40</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">U1</font>, <font color="Olive" title="b2">U2</font> being   <a href="classes2.html#NM1" title="CLASSES2:NM.1">Universe</a><br/>  for <font color="Olive" title="b3">x</font> being    <a href="classes5.html#M1" title="CLASSES5:mode.1">Set</a> of <font color="Olive" title="b1">U1</font><br/>  for <font color="Olive" title="b4">y</font> being    <a href="classes5.html#M1" title="CLASSES5:mode.1">Set</a> of <font color="Olive" title="b2">U2</font>  ex <font color="Olive" title="b5">z</font> being    <a href="classes5.html#M1" title="CLASSES5:mode.1">Set</a> of  <a href="classes5.html#K10" title="CLASSES5:func.10">sup</a> (<font color="Olive" title="b1">U1</font>,<font color="Olive" title="b2">U2</font>) st <br/> for <font color="Olive" title="b6">a</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  holds <br/> ( <font color="Olive" title="b6">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b5">z</font> iff ( <font color="Olive" title="b6">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">x</font> or <font color="Olive" title="b6">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">y</font> ) )</div></div>
