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<div><span class="kw">theorem </span><a NAME="T49"><span class="comment"><font color="firebrick">:: EUCLID_3:49</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> <br/>  for <font color="Olive" title="b2">p1</font>, <font color="Olive" title="b3">p2</font>, <font color="Olive" title="b4">p3</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> <font color="Olive" title="b1">n</font></span>)</span> holds   <a href="euclid_3.html#K5" title="EUCLID_3:func.5">Triangle</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Olive" title="b4">p3</font>) <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="euclid_3.html#K6" title="EUCLID_3:func.6">closed_inside_of_triangle</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Olive" title="b4">p3</font>)</div></div>
