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<div>:: <span class="kw">deftheorem </span>   defines <a href="projred2.html#R1" title="PROJRED2:pred.1">are_concurrent</a> <a onclick="hs(this)" href="javascript:()">PROJRED2:def 1 : <br/></a><span> for <font color="Olive" title="b1">IPS</font> being   <a href="incproj.html#NM2" title="INCPROJ:NM.2">IncProjSp</a><br/>  for <font color="Olive" title="b2">A</font>, <font color="Olive" title="b3">B</font>, <font color="Olive" title="b4">C</font> being   <a href="incsp_1.html#NM2" title="INCSP_1:NM.2">LINE</a> of <font color="Olive" title="b1">IPS</font> holds <br/> ( <font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">B</font>,<font color="Olive" title="b4">C</font> <a href="projred2.html#R1" title="PROJRED2:pred.1">are_concurrent</a>  iff  ex <font color="Olive" title="b5">o</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  the <a href="incsp_1.html#U1" title="INCSP_1:sel.1">Points</a> of <font color="Olive" title="b1">IPS</font> st <br/>( <font color="Olive" title="b5">o</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b2">A</font> &amp; <font color="Olive" title="b5">o</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b3">B</font> &amp; <font color="Olive" title="b5">o</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b4">C</font> ) );<br/></span></div>
