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<b>let </b><font color="Maroon" title="c1">CS</font> be   <a href="transgeo.html#NM1" title="TRANSGEO:NM.1">CongrSpace</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">f</font> being  <a href="funct_2.html#NM2" title="FUNCT_2:NM.2">Permutation</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">CS</font>  st <font color="Olive" title="b1">f</font> <a href="transgeo.html#R3" title="TRANSGEO:pred.3">is_DIL_of</a> <font color="Maroon" title="c1">CS</font> holds <br/><font color="Olive" title="b1">f</font> <a href="funct_2.html#K2" title="FUNCT_2:func.2">"</a>  <a href="transgeo.html#R3" title="TRANSGEO:pred.3">is_DIL_of</a> <font color="Maroon" title="c1">CS</font></span><br/><b>let </b><font color="Maroon" title="c2">f</font> be   <a href="funct_2.html#NM2" title="FUNCT_2:NM.2">Permutation</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">CS</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">f</font> <a href="transgeo.html#R3" title="TRANSGEO:pred.3">is_DIL_of</a> <font color="Maroon" title="c1">CS</font> implies <font color="Maroon" title="c2">f</font> <a href="funct_2.html#K2" title="FUNCT_2:func.2">"</a>  <a href="transgeo.html#R3" title="TRANSGEO:pred.3">is_DIL_of</a> <font color="Maroon" title="c1">CS</font> )</span><br/>



<b>assume </b><a NAME="E1:35"/>
<font color="Maroon" title="c2">f</font> <a href="transgeo.html#R3" title="TRANSGEO:pred.3">is_DIL_of</a> <font color="Maroon" title="c1">CS</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">f</font> <a href="funct_2.html#K2" title="FUNCT_2:func.2">"</a>  <a href="transgeo.html#R3" title="TRANSGEO:pred.3">is_DIL_of</a> <font color="Maroon" title="c1">CS</font></span><br/>

<a NAME="E2:35"/><b>then </b>
( <font color="Maroon" title="c2">f</font> <a href="transgeo.html#R1" title="TRANSGEO:pred.1">is_FormalIz_of</a> the <a href="analoaf.html#U1" title="ANALOAF:sel.1">CONGR</a> of <font color="Maroon" title="c1">CS</font> &amp; the <a href="analoaf.html#U1" title="ANALOAF:sel.1">CONGR</a> of <font color="Maroon" title="c1">CS</font> <a href="relat_2.html#R3" title="RELAT_2:pred.3">is_symmetric_in</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default">the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">CS</font>,the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">CS</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> )
 
<b>by </b><i><a class="ref" href="transgeo.html#D4" target="_self" title="TRANSGEO:def.4">Def4</a>, <a class="txt" href="transgeo.html#E44"><i><font color="Green" title="E17">Lm4</font></i></a></i>;<br/>
<a NAME="E3:35"/><b>then </b>
<font color="Maroon" title="c2">f</font> <a href="funct_2.html#K2" title="FUNCT_2:func.2">"</a>  <a href="transgeo.html#R1" title="TRANSGEO:pred.1">is_FormalIz_of</a> the <a href="analoaf.html#U1" title="ANALOAF:sel.1">CONGR</a> of <font color="Maroon" title="c1">CS</font>
 
<b>by </b><i><a class="ref" href="transgeo.html#T24" target="_self" title="TRANSGEO:th.24">Th24</a></i>;<br/>
<b>hence </b><a NAME="E4:35"/>
<font color="Maroon" title="c2">f</font> <a href="funct_2.html#K2" title="FUNCT_2:func.2">"</a>  <a href="transgeo.html#R3" title="TRANSGEO:pred.3">is_DIL_of</a> <font color="Maroon" title="c1">CS</font>
 <b>by </b><i><a class="ref" href="transgeo.html#D4" target="_self" title="TRANSGEO:def.4">Def4</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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