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<b>let </b><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:()"><i><font color="Red">::  thesis: </font></i></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/>



<b>assume </b><a NAME="E1:15"/>
<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:()"><i><font color="Red">::  thesis: </font></i></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="E2:15"/><b>then </b>
 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>
 
<b>by </b><i><a class="ref" href="wellord1.html#D8" title="WELLORD1:def.8">WELLORD1:def 8</a></i>;<br/>
<b>hence </b><a NAME="E3:15"/>
(  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> )
 <b>by </b><i><a class="ref" href="wellord1.html#T54" title="WELLORD1:th.54">WELLORD1:54</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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