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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E36">Th31</font></span>: <a NAME="T31"><span class="comment"><font color="firebrick">:: RLTOPSP1:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="rltopsp1.html#NM1" title="RLTOPSP1:NM.1">LinearTopSpace</a><br/>  for <font color="Olive" title="b2">x1</font>, <font color="Olive" title="b3">x2</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b4">V</font> being    <a href="connsp_2.html#M1" title="CONNSP_2:mode.1">a_neighborhood</a> of <font color="Olive" title="b2">x1</font> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <font color="Olive" title="b3">x2</font>  ex <font color="Olive" title="b5">V1</font> being    <a href="connsp_2.html#M1" title="CONNSP_2:mode.1">a_neighborhood</a> of <font color="Olive" title="b2">x1</font> ex <font color="Olive" title="b6">V2</font> being    <a href="connsp_2.html#M1" title="CONNSP_2:mode.1">a_neighborhood</a> of <font color="Olive" title="b3">x2</font> st <font color="Olive" title="b5">V1</font> <a href="rusub_4.html#K7" title="RUSUB_4:func.7">+</a> <font color="Olive" title="b6">V2</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b4">V</font></div></div>
