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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E54">Th65</font></span>: <a NAME="T65"><span class="comment"><font color="firebrick">:: SEMI_AF1:65</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">SAS</font> being   <a href="semi_af1.html#NM1" title="SEMI_AF1:NM.1">Semi_Affine_Space</a><br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font>, <font color="Olive" title="b4">c</font>, <font color="Olive" title="b5">d</font>, <font color="Olive" title="b6">r</font>, <font color="Olive" title="b7">s</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">SAS</font>  st  <a href="semi_af1.html#R3" title="SEMI_AF1:pred.3">congr</a> <font color="Olive" title="b6">r</font>,<font color="Olive" title="b7">s</font>,<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font> &amp;  <a href="semi_af1.html#R3" title="SEMI_AF1:pred.3">congr</a> <font color="Olive" title="b6">r</font>,<font color="Olive" title="b7">s</font>,<font color="Olive" title="b4">c</font>,<font color="Olive" title="b5">d</font> holds <br/> <a href="semi_af1.html#R3" title="SEMI_AF1:pred.3">congr</a> <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>,<font color="Olive" title="b4">c</font>,<font color="Olive" title="b5">d</font></div></div>
