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<div><span class="kw">theorem </span><a NAME="T8"><span class="comment"><font color="firebrick">:: CLASSES1:8</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">A</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a> holds   <a href="classes1.html#K3" title="CLASSES1:func.3">Tarski-Class</a> (<font color="Olive" title="b1">X</font>,<span class="p1">(<span class="default"><a href="ordinal1.html#K1" title="ORDINAL1:func.1">succ</a> <font color="Olive" title="b2">A</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2"> { <span class="default"> <font color="Olive" title="b3">u</font> where <font color="Olive" title="b3">u</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="classes1.html#K1" title="CLASSES1:func.1">Tarski-Class</a> <font color="Olive" title="b1">X</font> :  ex <font color="Olive" title="b4">v</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="classes1.html#K1" title="CLASSES1:func.1">Tarski-Class</a> <font color="Olive" title="b1">X</font> st <br/>( <font color="Olive" title="b4">v</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="classes1.html#K3" title="CLASSES1:func.3">Tarski-Class</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">A</font>) &amp; <font color="Olive" title="b3">u</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b4">v</font> ) </span> } </span>  <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p2"> { <span class="default"> <span class="p3">(<span class="default"><a href="setfam_1.html#K9" title="SETFAM_1:func.9">bool</a> <font color="Olive" title="b3">v</font></span>)</span> where <font color="Olive" title="b3">v</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="classes1.html#K1" title="CLASSES1:func.1">Tarski-Class</a> <font color="Olive" title="b1">X</font> : <font color="Olive" title="b3">v</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="classes1.html#K3" title="CLASSES1:func.3">Tarski-Class</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">A</font>) </span> } </span> </span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="setfam_1.html#K9" title="SETFAM_1:func.9">bool</a> <span class="p3">(<span class="default"><a href="classes1.html#K3" title="CLASSES1:func.3">Tarski-Class</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">A</font>)</span>)</span></span>)</span> <a href="subset_1.html#K8" title="SUBSET_1:func.8">/\</a> <span class="p2">(<span class="default"><a href="classes1.html#K1" title="CLASSES1:func.1">Tarski-Class</a> <font color="Olive" title="b1">X</font></span>)</span></span>)</span> <span class="kw">by</span> <span class="lab"><a class="txt" href="classes1.html#E12"><span class="lab"><font color="Green" title="E8">Lm1</font></span></a></span>;<br/></div></div>
