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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E41">Th41</font></span>: <a NAME="T47"><span class="comment"><font color="firebrick">:: ANPROJ_8:47</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">o</font>, <font color="Olive" title="b2">p</font>, <font color="Olive" title="b3">q</font>, <font color="Olive" title="b4">r</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 3</span>)</span> holds <br/> ( <font color="Olive" title="b1">o</font>,<font color="Olive" title="b2">p</font>,<span class="p1">(<span class="default"><font color="Olive" title="b1">o</font> <a href="euclid_5.html#K5" title="EUCLID_5:func.5">&lt;X&gt;</a> <font color="Olive" title="b2">p</font></span>)</span> <a href="euclid_5.html#K5" title="EUCLID_5:func.5">&lt;X&gt;</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">q</font> <a href="euclid_5.html#K5" title="EUCLID_5:func.5">&lt;X&gt;</a> <font color="Olive" title="b4">r</font></span>)</span> <a href="anproj_1.html#R2" title="ANPROJ_1:pred.2">are_LinDep</a>  &amp; <font color="Olive" title="b3">q</font>,<font color="Olive" title="b4">r</font>,<span class="p1">(<span class="default"><font color="Olive" title="b1">o</font> <a href="euclid_5.html#K5" title="EUCLID_5:func.5">&lt;X&gt;</a> <font color="Olive" title="b2">p</font></span>)</span> <a href="euclid_5.html#K5" title="EUCLID_5:func.5">&lt;X&gt;</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">q</font> <a href="euclid_5.html#K5" title="EUCLID_5:func.5">&lt;X&gt;</a> <font color="Olive" title="b4">r</font></span>)</span> <a href="anproj_1.html#R2" title="ANPROJ_1:pred.2">are_LinDep</a>  )</div></div>
