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<div><span class="kw">theorem </span><a NAME="T40"><span class="comment"><font color="firebrick">:: EUCLID13:40</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">B</font>, <font color="Olive" title="b3">C</font>, <font color="Olive" title="b4">D</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> 2</span>)</span>  st <font color="Olive" title="b2">B</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">C</font> &amp; <font color="Olive" title="b4">D</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="euclid13.html#K1" title="EUCLID13:func.1">the_altitude</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font>,<font color="Olive" title="b3">C</font>) holds <br/> <a href="euclid13.html#K1" title="EUCLID13:func.1">the_altitude</a> (<font color="Olive" title="b4">D</font>,<font color="Olive" title="b2">B</font>,<font color="Olive" title="b3">C</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="euclid13.html#K1" title="EUCLID13:func.1">the_altitude</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font>,<font color="Olive" title="b3">C</font>)</div></div>
