<?xml version="1.0"?>
<div class="add">

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









<b>assume </b><a NAME="E1:72"/><i><font color="Green">E29</font></i>: 
 <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">c</font>,<font color="Maroon">d</font>
 ;<br/>

<a NAME="E2:72"/><b>then </b>
(  <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">c</font>,<font color="Maroon">d</font>,<font color="Maroon">a</font>,<font color="Maroon">b</font> &amp;  <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">d</font>,<font color="Maroon">c</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">b</font>,<font color="Maroon">d</font> )
 
<b>by </b><i><a class="ref" href="semi_af1.html#T30" target="_self">Th30</a>, <a class="ref" href="semi_af1.html#T31" target="_self">Th31</a>, <a class="ref" href="semi_af1.html#T32" target="_self">Th32</a></i>;<br/>
<a NAME="E3:72"/><b>then </b>
(  <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">d</font>,<font color="Maroon">c</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">b</font>,<font color="Maroon">d</font>,<font color="Maroon">a</font>,<font color="Maroon">c</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">d</font>,<font color="Maroon">b</font> )
 
<b>by </b><i><a class="ref" href="semi_af1.html#T31" target="_self">Th31</a>, <a class="ref" href="semi_af1.html#T32" target="_self">Th32</a></i>;<br/>
<b>hence </b><a NAME="E4:72"/>
(  <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">c</font>,<font color="Maroon">d</font>,<font color="Maroon">a</font>,<font color="Maroon">b</font> &amp;  <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">d</font>,<font color="Maroon">c</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">b</font>,<font color="Maroon">d</font> &amp;  <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">d</font>,<font color="Maroon">c</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">b</font>,<font color="Maroon">d</font>,<font color="Maroon">a</font>,<font color="Maroon">c</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">d</font>,<font color="Maroon">b</font> &amp;  <a href="semi_af1.html#R3" target="_self">congr</a> <font color="Maroon">d</font>,<font color="Maroon">b</font>,<font color="Maroon">c</font>,<font color="Maroon">a</font> )
 <b>by </b><i><a class="ref" href="semi_af1.html#D2" target="_self">Def2</a>, <a class="ref" href="semi_af1.html#T30" target="_self">Th30</a></i>;<br/>


</div>
