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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E4">Th5</font></span>: <a NAME="T5"><span class="comment"><font color="firebrick">:: JORDAN16:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 2</span>)</span><br/>  for <font color="Olive" title="b2">p1</font>, <font color="Olive" title="b3">p2</font>, <font color="Olive" title="b4">q1</font>, <font color="Olive" title="b5">q2</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  <a href="jordan5c.html#R1" title="JORDAN5C:pred.1">LE</a> <font color="Olive" title="b4">q1</font>,<font color="Olive" title="b5">q2</font>,<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font> holds <br/>( <font color="Olive" title="b4">q1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="jordan6.html#K5" title="JORDAN6:func.5">Segment</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Olive" title="b4">q1</font>,<font color="Olive" title="b5">q2</font>) &amp; <font color="Olive" title="b5">q2</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="jordan6.html#K5" title="JORDAN6:func.5">Segment</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Olive" title="b4">q1</font>,<font color="Olive" title="b5">q2</font>) )</div></div>
