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<span class="kw">let </span><font color="Maroon" title="c1">R</font>, <font color="Maroon" title="c2">S</font>, <font color="Maroon" title="c3">T</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="c2">S</font>,<font color="Maroon" title="c3">T</font> <a href="wellord1.html#R4" title="WELLORD1:pred.4">are_isomorphic</a>  implies <font color="Maroon" title="c1">R</font>,<font color="Maroon" title="c3">T</font> <a href="wellord1.html#R4" title="WELLORD1:pred.4">are_isomorphic</a>  )</span><br/>





<span class="kw">given </span><font color="Maroon" title="c4">F</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><span class="kw"> such that </span><a NAME="E2:52"/><span class="lab"><font color="Green" title="E47">A1</font></span>: 
<font color="Maroon" title="c4">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="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="wellord1.html#D8" target="_self" title="WELLORD1:def.8">WELLORD1:def 8</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="c2">S</font>,<font color="Maroon" title="c3">T</font> <a href="wellord1.html#R4" title="WELLORD1:pred.4">are_isomorphic</a>  or <font color="Maroon" title="c1">R</font>,<font color="Maroon" title="c3">T</font> <a href="wellord1.html#R4" title="WELLORD1:pred.4">are_isomorphic</a>  )</span><br/>

<span class="kw">given </span><font color="Maroon" title="c5">G</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><span class="kw"> such that </span><a NAME="E4:52"/><span class="lab"><font color="Green" title="E48">A2</font></span>: 
<font color="Maroon" title="c5">G</font> <a href="wellord1.html#R3" title="WELLORD1:pred.3">is_isomorphism_of</a> <font color="Maroon" title="c2">S</font>,<font color="Maroon" title="c3">T</font>
 ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="wellord1.html#D8" target="_self" title="WELLORD1:def.8">WELLORD1:def 8</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="c3">T</font> <a href="wellord1.html#R4" title="WELLORD1:pred.4">are_isomorphic</a> </span><br/>

<span class="kw">take </span>
<font color="Maroon" title="c5">G</font> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> <font color="Maroon" title="c4">F</font>
; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="wellord1.html#D8" target="_self" title="WELLORD1:def.8">WELLORD1:def 8</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="c5">G</font> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> <font color="Maroon" title="c4">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="c3">T</font></span><br/>

<span class="kw">thus </span><a NAME="E5:52"/>
<font color="Maroon" title="c5">G</font> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> <font color="Maroon" title="c4">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="c3">T</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:52"><span class="lab"><font color="Green" title="E47">A1</font></span></a>, <a class="txt" href="#E4:52"><span class="lab"><font color="Green" title="E48">A2</font></span></a>, <a class="ref" href="wellord1.html#T41" target="_self" title="WELLORD1:th.41">Th51</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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