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<b>let </b><font color="Maroon" title="c1">SAS</font> be   <a href="semi_af1.html#NM1" title="SEMI_AF1:NM.1">Semi_Affine_Space</a>;<br/><b>let </b><font color="Maroon" title="c2">o</font>, <font color="Maroon" title="c3">b</font>, <font color="Maroon" title="c4">a</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">SAS</font>;<br/>







<a NAME="E1:92"/>
(  <a href="semi_af1.html#K3" title="SEMI_AF1:func.3">diff</a> <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c2">o</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="semi_af1.html#K1" title="SEMI_AF1:func.1">sum</a> <font color="Maroon" title="c3">b</font>,<span class="p1">(<span class="default"><a href="semi_af1.html#K2" title="SEMI_AF1:func.2">opposite</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c2">o</font></span>)</span>,<font color="Maroon" title="c2">o</font> &amp;  <a href="semi_af1.html#R3" title="SEMI_AF1:pred.3">congr</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c3">b</font>, <a href="semi_af1.html#K2" title="SEMI_AF1:func.2">opposite</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c2">o</font>, <a href="semi_af1.html#K1" title="SEMI_AF1:func.1">sum</a> <font color="Maroon" title="c3">b</font>,<span class="p1">(<span class="default"><a href="semi_af1.html#K2" title="SEMI_AF1:func.2">opposite</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c2">o</font></span>)</span>,<font color="Maroon" title="c2">o</font> )
 
<b>by </b><i><a class="ref" href="semi_af1.html#D5" target="_self" title="SEMI_AF1:def.5">Def5</a></i>;<br/>
<a NAME="E2:92"/><b>then </b>
(  <a href="semi_af1.html#R3" title="SEMI_AF1:pred.3">congr</a> <font color="Maroon" title="c2">o</font>, <a href="semi_af1.html#K2" title="SEMI_AF1:func.2">opposite</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c3">b</font>, <a href="semi_af1.html#K3" title="SEMI_AF1:func.3">diff</a> <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c2">o</font> &amp;  <a href="semi_af1.html#R3" title="SEMI_AF1:pred.3">congr</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c2">o</font>, <a href="semi_af1.html#K2" title="SEMI_AF1:func.2">opposite</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c2">o</font> )
 
<b>by </b><i><a class="ref" href="semi_af1.html#T89" target="_self" title="SEMI_AF1:th.89">Th89</a>, <a class="ref" href="semi_af1.html#T106" target="_self" title="SEMI_AF1:th.106">Th106</a></i>;<br/>
<a NAME="E3:92"/><b>then </b>
(  <a href="semi_af1.html#R3" title="SEMI_AF1:pred.3">congr</a> <font color="Maroon" title="c2">o</font>, <a href="semi_af1.html#K2" title="SEMI_AF1:func.2">opposite</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c3">b</font>, <a href="semi_af1.html#K3" title="SEMI_AF1:func.3">diff</a> <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c2">o</font> &amp;  <a href="semi_af1.html#R3" title="SEMI_AF1:pred.3">congr</a> <font color="Maroon" title="c2">o</font>, <a href="semi_af1.html#K2" title="SEMI_AF1:func.2">opposite</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c2">o</font> )
 
<b>by </b><i><a class="ref" href="semi_af1.html#T89" target="_self" title="SEMI_AF1:th.89">Th89</a></i>;<br/>
<a NAME="E4:92"/><b>then </b>
 <a href="semi_af1.html#R3" title="SEMI_AF1:pred.3">congr</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c3">b</font>, <a href="semi_af1.html#K3" title="SEMI_AF1:func.3">diff</a> <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c2">o</font>
 
<b>by </b><i><a class="ref" href="semi_af1.html#T85" target="_self" title="SEMI_AF1:th.85">Th85</a></i>;<br/>
<a NAME="E5:92"/><b>then </b>
 <a href="semi_af1.html#R3" title="SEMI_AF1:pred.3">congr</a> <font color="Maroon" title="c2">o</font>, <a href="semi_af1.html#K3" title="SEMI_AF1:func.3">diff</a> <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c3">b</font>
 
<b>by </b><i><a class="ref" href="semi_af1.html#T89" target="_self" title="SEMI_AF1:th.89">Th89</a></i>;<br/>
<b>hence </b><a NAME="E6:92"/>
<font color="Maroon" title="c2">o</font>, <a href="semi_af1.html#K3" title="SEMI_AF1:func.3">diff</a> <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c2">o</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c3">b</font>
 <b>by </b><i><a class="ref" href="semi_af1.html#T76" target="_self" title="SEMI_AF1:th.76">Th76</a></i>;<br/>


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