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<span class="kw">let </span><font color="Maroon" title="c1">R</font>, <font color="Maroon" title="c2">S</font> be   <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">R</font>,<font color="Maroon" title="c2">S</font> <a href="wellord1.html#R4" title="WELLORD1:pred.4">are_isomorphic</a>  &amp; <font color="Maroon" title="c1">R</font> is  <a href="wellord1.html#V2" title="WELLORD1:attr.2">well-ordering</a>  implies <font color="Maroon" title="c2">S</font> is  <a href="wellord1.html#V2" title="WELLORD1:attr.2">well-ordering</a>  )</span><br/>



<span class="kw">assume </span><a NAME="E1:65"/>
<font color="Maroon" title="c1">R</font>,<font color="Maroon" title="c2">S</font> <a href="wellord1.html#R4" title="WELLORD1:pred.4">are_isomorphic</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  not <font color="Maroon" title="c1">R</font> is  <a href="wellord1.html#V2" title="WELLORD1:attr.2">well-ordering</a>  or <font color="Maroon" title="c2">S</font> is  <a href="wellord1.html#V2" title="WELLORD1:attr.2">well-ordering</a>  )</span><br/>

<a NAME="E2:65"/><span class="kw">then </span>
 ex <font color="Olive" title="b1">F</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> st <font color="Olive" title="b1">F</font> <a href="wellord1.html#R3" title="WELLORD1:pred.3">is_isomorphism_of</a> <font color="Maroon" title="c1">R</font>,<font color="Maroon" title="c2">S</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="wellord1.html#D8" target="_self" title="WELLORD1:def.8">Def8</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:65"/>
(  not <font color="Maroon" title="c1">R</font> is  <a href="wellord1.html#V2" title="WELLORD1:attr.2">well-ordering</a>  or <font color="Maroon" title="c2">S</font> is  <a href="wellord1.html#V2" title="WELLORD1:attr.2">well-ordering</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="wellord1.html#T44" target="_self" title="WELLORD1:th.44">Th54</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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