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<div><span class="kw">theorem </span><a NAME="T50"><span class="comment"><font color="firebrick">:: AFF_1:50</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">AS</font> being   <a href="diraf.html#NM1" title="DIRAF:NM.1">AffinSpace</a><br/>  for <font color="Olive" title="b2">p</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">AS</font><br/>  for <font color="Olive" title="b3">A</font>, <font color="Olive" title="b4">C</font>, <font color="Olive" title="b5">D</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">AS</font>  st <font color="Olive" title="b3">A</font> <a href="aff_1.html#R5" title="AFF_1:pred.5">//</a> <font color="Olive" title="b4">C</font> &amp; <font color="Olive" title="b3">A</font> <a href="aff_1.html#R5" title="AFF_1:pred.5">//</a> <font color="Olive" title="b5">D</font> &amp; <font color="Olive" title="b2">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">C</font> &amp; <font color="Olive" title="b2">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b5">D</font> holds <br/><font color="Olive" title="b4">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">D</font> <span class="kw">by</span> <span class="lab"><a class="txt" href="aff_1.html#E55"><span class="lab"><font color="Green" title="E44">Lm7</font></span></a>, <a class="ref" href="aff_1.html#T45" target="_self" onmouseover="rs('aff_1/T45')" onmouseout="rh()">Th44</a></span>;<br/></div></div>
