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<div><span class="kw">theorem </span><a NAME="T42"><span class="comment"><font color="firebrick">:: ANPROJ10:42</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a>  st <font color="Olive" title="b1">T</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 1 holds <br/> for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font>, <font color="Olive" title="b4">z</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">T</font> holds  <font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font>,<font color="Olive" title="b4">z</font> <a href="rltopsp1.html#R1" title="RLTOPSP1:pred.1">are_collinear</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="anproj10.html#T41" target="_self" onmouseover="rs('anproj10/T41')" onmouseout="rh()">Th25</a></span>;<br/></div></div>
