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<div><span class="kw">theorem </span><a NAME="T89"><span class="comment"><font color="firebrick">:: SEMI_AF1:89</font></span><br/></a><div class="add"> 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">c</font>, <font color="Olive" title="b5">d</font>, <font color="Olive" title="b6">o</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/> ( <font color="Olive" title="b6">o</font>, <a href="semi_af1.html#K3" title="SEMI_AF1:func.3">diff</a> (<font color="Olive" title="b3">b</font>,<font color="Olive" title="b2">a</font>,<font color="Olive" title="b6">o</font>), <a href="semi_af1.html#K3" title="SEMI_AF1:func.3">diff</a> (<font color="Olive" title="b5">d</font>,<font color="Olive" title="b4">c</font>,<font color="Olive" title="b6">o</font>) <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">are_collinear</a>  iff <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b4">c</font>,<font color="Olive" title="b5">d</font> )</div></div>
