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<div><span class="kw">theorem </span><a NAME="T65"><span class="comment"><font color="firebrick">:: RLTOPSP1:65</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">U</font> being    <a href="connsp_2.html#M1" title="CONNSP_2:mode.1">a_neighborhood</a> of  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b2">U</font> is  <a href="convex1.html#V1" title="CONVEX1:attr.1">convex</a>  holds <br/> ex <font color="Olive" title="b3">W</font> being    <a href="connsp_2.html#M1" title="CONNSP_2:mode.1">a_neighborhood</a> of  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">X</font> st <br/>( <font color="Olive" title="b3">W</font> is  <a href="rltopsp1.html#V3" title="RLTOPSP1:attr.3">circled</a>  &amp; <font color="Olive" title="b3">W</font> is  <a href="convex1.html#V1" title="CONVEX1:attr.1">convex</a>  &amp; <font color="Olive" title="b3">W</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">U</font> )</div></div>
