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<div>:: <span class="kw">deftheorem </span>   defines <a href="papdesaf.html#V5" title="PAPDESAF:attr.5">satisfying_DES</a> <a onclick="hs(this)" href="javascript:()">PAPDESAF:def 6 : <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="papdesaf.html#V5" title="PAPDESAF:attr.5">satisfying_DES</a>  iff  for <font color="Olive" title="b2">o</font>, <font color="Olive" title="b3">a</font>, <font color="Olive" title="b4">b</font>, <font color="Olive" title="b5">c</font>, <font color="Olive" title="b6">a1</font>, <font color="Olive" title="b7">b1</font>, <font color="Olive" title="b8">c1</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">OAS</font>  st <font color="Olive" title="b2">o</font>,<font color="Olive" title="b3">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b2">o</font>,<font color="Olive" title="b6">a1</font> &amp; <font color="Olive" title="b2">o</font>,<font color="Olive" title="b4">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b2">o</font>,<font color="Olive" title="b7">b1</font> &amp; <font color="Olive" title="b2">o</font>,<font color="Olive" title="b5">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b2">o</font>,<font color="Olive" title="b8">c1</font> &amp;  not <font color="Olive" title="b2">o</font>,<font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">b</font> <a href="diraf.html#R3" title="DIRAF:pred.3">are_collinear</a>  &amp;  not <font color="Olive" title="b2">o</font>,<font color="Olive" title="b3">a</font>,<font color="Olive" title="b5">c</font> <a href="diraf.html#R3" title="DIRAF:pred.3">are_collinear</a>  &amp; <font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b6">a1</font>,<font color="Olive" title="b7">b1</font> &amp; <font color="Olive" title="b3">a</font>,<font color="Olive" title="b5">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b6">a1</font>,<font color="Olive" title="b8">c1</font> holds <br/><font color="Olive" title="b4">b</font>,<font color="Olive" title="b5">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b7">b1</font>,<font color="Olive" title="b8">c1</font> );<br/></span></div>
