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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E8">Th12</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: EQREL_1:12</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">R</font> being   <a href="relset_1.html#NM2" title="RELSET_1:NM.2">Relation</a> of <font color="Olive" title="b1">X</font>  ex <font color="Olive" title="b3">EqR</font> being   <a href="eqrel_1.html#NM2" title="EQREL_1:NM.2">Equivalence_Relation</a> of <font color="Olive" title="b1">X</font> st <br/>( <font color="Olive" title="b2">R</font> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a> <font color="Olive" title="b3">EqR</font> &amp; (  for <font color="Olive" title="b4">EqR2</font> being   <a href="eqrel_1.html#NM2" title="EQREL_1:NM.2">Equivalence_Relation</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b2">R</font> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a> <font color="Olive" title="b4">EqR2</font> holds <br/><font color="Olive" title="b3">EqR</font> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a> <font color="Olive" title="b4">EqR2</font> ) )</div></div>
