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<b>let </b><font color="Maroon" title="c1">M1</font>, <font color="Maroon" title="c2">M2</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>



<b>assume </b><a NAME="E1:14"/><i><font color="Green" title="E12">A1</font></i>: 
( <font color="Maroon" title="c1">M1</font> <a href="zf_model.html#NR3" title="ZF_MODEL:NR.3">is_a_model_of_ZF</a>  &amp; <font color="Maroon" title="c1">M1</font> <a href="zfrefle1.html#R2" title="ZFREFLE1:pred.2">&lt;==&gt;</a> <font color="Maroon" title="c2">M2</font> )
 ;<br/>

<a NAME="E2:14"/><b>then </b>
<font color="Maroon" title="c1">M1</font> <a href="zfrefle1.html#R1" title="ZFREFLE1:pred.1">|=</a>  <a href="zfrefle1.html#K2" title="ZFREFLE1:func.2">ZF-axioms</a> 
 
<b>by </b><i><a class="ref" href="zfrefle1.html#T4" target="_self" title="ZFREFLE1:th.4">Th4</a></i>;<br/>
<a NAME="E3:14"/><b>then </b>
<font color="Maroon" title="c2">M2</font> <a href="zfrefle1.html#R1" title="ZFREFLE1:pred.1">|=</a>  <a href="zfrefle1.html#K2" title="ZFREFLE1:func.2">ZF-axioms</a> 
 
<b>by </b><i><a class="txt" href="zfrefle1.html#E1:14"><i><font color="Green" title="E12">A1</font></i></a>, <a class="ref" href="zfrefle1.html#T8" target="_self" title="ZFREFLE1:th.8">Th8</a></i>;<br/>
<b>hence </b><a NAME="E4:14"/>
(  not <font color="Maroon" title="c2">M2</font> is <a href="ordinal1.html#V1" title="ORDINAL1:attr.1">epsilon-transitive</a> or <font color="Maroon" title="c2">M2</font> <a href="zf_model.html#NR3" title="ZF_MODEL:NR.3">is_a_model_of_ZF</a>  )
 <b>by </b><i><a class="ref" href="zfrefle1.html#T5" target="_self" title="ZFREFLE1:th.5">Th5</a></i>;<br/>


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