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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E8">Th11</font></span>: <a NAME="T11"><span class="comment"><font color="firebrick">:: MFOLD_1:11</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">M</font>, <font color="Olive" title="b2">N</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a><br/>  for <font color="Olive" title="b3">p</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">M</font><br/>  for <font color="Olive" title="b4">U</font> being    <a href="connsp_2.html#M1" title="CONNSP_2:mode.1">a_neighborhood</a> of <font color="Olive" title="b3">p</font><br/>  for <font color="Olive" title="b5">B</font> being   <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b2">N</font>  st <font color="Olive" title="b4">U</font>,<font color="Olive" title="b5">B</font> <a href="metrizts.html#R1" title="METRIZTS:pred.1">are_homeomorphic</a>  holds <br/> ex <font color="Olive" title="b6">V</font> being   <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">M</font> ex <font color="Olive" title="b7">S</font> being   <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b2">N</font> st <br/>( <font color="Olive" title="b6">V</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b4">U</font> &amp; <font color="Olive" title="b3">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b6">V</font> &amp; <font color="Olive" title="b6">V</font>,<font color="Olive" title="b7">S</font> <a href="metrizts.html#R1" title="METRIZTS:pred.1">are_homeomorphic</a>  )</div></div>
