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<b>let </b><font color="Maroon">SAS</font> be   <a href="semi_af1.html#NM1">Semi_Affine_Space</a>;<br/><b>let </b><font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">SAS</font>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">SAS</font>;<br/><b>let </b><font color="Maroon">p</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">SAS</font>;<br/><b>let </b><font color="Maroon">q</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">SAS</font>;<br/><b>let </b><font color="Maroon">c</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">SAS</font>;<br/><b>let </b><font color="Maroon">r</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">SAS</font>;<br/>













<b>assume </b><a NAME="E1:74"/><i><font color="Green">E29</font></i>: 
(  <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">p</font>,<font color="Maroon">q</font> &amp;  <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">c</font>,<font color="Maroon">a</font>,<font color="Maroon">p</font>,<font color="Maroon">r</font> )
 ;<br/>

<b>consider </b><font color="Maroon">s</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">SAS</font><b> such that </b><br/><a NAME="E3:74"/><i><font color="Green">E30</font></i>: 
 <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">r</font>,<font color="Maroon">s</font>
 <b>by </b><i><a class="ref" href="semi_af1.html#T26" target="_self">Th26</a></i>;<br/>
<a NAME="E4:74"/>
(  <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">b</font>,<font color="Maroon">a</font> &amp;  <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">r</font>,<font color="Maroon">s</font> &amp;  <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">r</font>,<font color="Maroon">p</font>,<font color="Maroon">s</font>,<font color="Maroon">q</font> &amp;  <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">r</font>,<font color="Maroon">p</font>,<font color="Maroon">a</font>,<font color="Maroon">c</font> )
 
<b>by </b><i><a class="ref" href="semi_af1.html#T39" target="_self">Th39</a>, <a class="ref" href="semi_af1.html#T40" target="_self">Th40</a>, <a class="ref" href="semi_af1.html#T33" target="_self">Th33</a></i>;<br/>
<a NAME="E5:74"/><b>then </b>
(  <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">r</font>,<font color="Maroon">s</font> &amp;  <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">a</font>,<font color="Maroon">c</font>,<font color="Maroon">s</font>,<font color="Maroon">q</font> )
 
<b>by </b><i><a class="ref" href="semi_af1.html#T29" target="_self">Th29</a></i>;<br/>
<b>hence </b><a NAME="E6:74"/>
 <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">b</font>,<font color="Maroon">c</font>,<font color="Maroon">r</font>,<font color="Maroon">q</font>
 <b>by </b><i><a class="ref" href="semi_af1.html#D2" target="_self">Def2</a></i>;<br/>


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