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<div><span class="kw">theorem </span><a NAME="T12"><span class="comment"><font color="firebrick">:: ZF_COLLA:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">E</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b1">E</font> <a href="zf_model.html#R2" title="ZF_MODEL:pred.2">|=</a>  <a href="zf_model.html#K6" title="ZF_MODEL:func.6">the_axiom_of_extensionality</a>  holds <br/> ex <font color="Olive" title="b2">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  st <br/>( <font color="Olive" title="b2">X</font> is  <a href="ordinal1.html#V1" title="ORDINAL1:attr.1">epsilon-transitive</a>  &amp; <font color="Olive" title="b1">E</font>,<font color="Olive" title="b2">X</font> <a href="zf_colla.html#R2" title="ZF_COLLA:pred.2">are_epsilon-isomorphic</a>  )</div></div>
