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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E20">Th13</font></span>: <a NAME="T19"><span class="comment"><font color="firebrick">:: JORDAN1:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">s1</font>, <font color="Olive" title="b2">t1</font>, <font color="Olive" title="b3">s2</font>, <font color="Olive" title="b4">t2</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive" title="b5">P</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>  st <font color="Olive" title="b5">P</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <span class="p2"><a href="euclid.html#K19" title="EUCLID:func.19">|[</a><span class="default"><font color="Olive" title="b6">s</font>,<font color="Olive" title="b7">t</font></span><a href="euclid.html#K19" title="EUCLID:func.19">]|</a></span> where <font color="Olive" title="b6">s</font>, <font color="Olive" title="b7">t</font> is   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> : (  not <font color="Olive" title="b1">s1</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b6">s</font> or  not <font color="Olive" title="b6">s</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">s2</font> or  not <font color="Olive" title="b2">t1</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b7">t</font> or  not <font color="Olive" title="b7">t</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b4">t2</font> ) </span> } </span>  holds <br/><font color="Olive" title="b5">P</font> is  <a href="connsp_1.html#V2" title="CONNSP_1:attr.2">connected</a> </div></div>
