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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="diraf.html#NM1">AffinSpace</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be   <a href="funct_2.html#NM2">Permutation</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>





<b>assume </b><a NAME="E1:115"/>
( <font color="Maroon">c<sub>2</sub></font> <a href="transgeo.html#R2" target="_self">is_automorphism_of</a> the <a href="analoaf.html#U1">CONGR</a> of <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>3</sub></font> <a href="transgeo.html#R2" target="_self">is_automorphism_of</a> the <a href="analoaf.html#U1">CONGR</a> of <font color="Maroon">c<sub>1</sub></font> )
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="transgeo.html#D12" target="_self">TRANSGEO:def 12</a><br/>

<b>hence </b><a NAME="E2:115"/>
( <font color="Maroon">c<sub>2</sub></font> <a href="funct_2.html#K2">"</a>  <a href="transgeo.html#R2" target="_self">is_automorphism_of</a> the <a href="analoaf.html#U1">CONGR</a> of <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="transgeo.html#K1" target="_self">*</a> <font color="Maroon">c<sub>3</sub></font> <a href="transgeo.html#R2" target="_self">is_automorphism_of</a> the <a href="analoaf.html#U1">CONGR</a> of <font color="Maroon">c<sub>1</sub></font> )
 <b>by </b><i><a class="ref" href="transgeo.html#T29" target="_self">Th29</a>, <a class="ref" href="transgeo.html#T30" target="_self">Th30</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="transgeo.html#D12" target="_self">TRANSGEO:def 12</a><br/>

<b>thus </b><a NAME="E3:115"/>
 <a href="partfun1.html#K6">id</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> <a href="transgeo.html#R2" target="_self">is_automorphism_of</a> the <a href="analoaf.html#U1">CONGR</a> of <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="ref" href="transgeo.html#T28" target="_self">Th28</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="transgeo.html#D12" target="_self">TRANSGEO:def 12</a><br/>


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