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<div>:: <span class="kw">deftheorem </span>   defines <a href="semi_af1.html#R3" title="SEMI_AF1:pred.3">congr</a> <a onclick="hs(this)" href="javascript:()">SEMI_AF1:def 4 : <br/></a><span> 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">r</font>, <font color="Olive" title="b5">s</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">SAS</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">r</font>,<font color="Olive" title="b5">s</font> iff ( ( <font color="Olive" title="b2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">b</font> &amp; <font color="Olive" title="b4">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">s</font> ) or  ex <font color="Olive" title="b6">p</font>, <font color="Olive" title="b7">q</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">SAS</font> st <br/>(  <a href="semi_af1.html#R2" title="SEMI_AF1:pred.2">parallelogram</a> <font color="Olive" title="b6">p</font>,<font color="Olive" title="b7">q</font>,<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font> &amp;  <a href="semi_af1.html#R2" title="SEMI_AF1:pred.2">parallelogram</a> <font color="Olive" title="b6">p</font>,<font color="Olive" title="b7">q</font>,<font color="Olive" title="b4">r</font>,<font color="Olive" title="b5">s</font> ) ) );<br/></span></div>
