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<div>:: <span class="kw">deftheorem </span>   defines <a href="pasch.html#V5" title="PASCH:attr.5">satisfying_Int_Bet_Pasch</a> <a onclick="hs(this)" href="javascript:()">PASCH:def 5 : <br/></a><span> for <font color="Olive" title="b1">OAS</font> being   <a href="analoaf.html#NM1" title="ANALOAF:NM.1">OAffinSpace</a> holds <br/> ( <font color="Olive" title="b1">OAS</font> is  <a href="pasch.html#V5" title="PASCH:attr.5">satisfying_Int_Bet_Pasch</a>  iff  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">x</font>, <font color="Olive" title="b7">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">OAS</font>  st  <a href="diraf.html#R1" title="DIRAF:pred.1">Mid</a> <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>,<font color="Olive" title="b5">d</font> &amp;  <a href="diraf.html#R1" title="DIRAF:pred.1">Mid</a> <font color="Olive" title="b2">a</font>,<font color="Olive" title="b6">x</font>,<font color="Olive" title="b4">c</font> &amp;  not <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>,<font color="Olive" title="b4">c</font> <a href="diraf.html#R3" title="DIRAF:pred.3">are_collinear</a>  holds <br/> ex <font color="Olive" title="b8">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">OAS</font> st <br/>(  <a href="diraf.html#R1" title="DIRAF:pred.1">Mid</a> <font color="Olive" title="b3">b</font>,<font color="Olive" title="b8">y</font>,<font color="Olive" title="b4">c</font> &amp;  <a href="diraf.html#R1" title="DIRAF:pred.1">Mid</a> <font color="Olive" title="b6">x</font>,<font color="Olive" title="b8">y</font>,<font color="Olive" title="b5">d</font> ) );<br/></span></div>
