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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E256">ThW37</font></span>: <a NAME="T355"><span class="comment"><font color="firebrick">:: GROUP_1A:355</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="pre_topc.html#V2" title="PRE_TOPC:attr.2">TopSpace-like</a>   <a href="group_1a.html#L1" title="GROUP_1A:struct.1">TopaddGrStr</a>   st (  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">T</font><br/>  for <font color="Olive" title="b4">W</font> being    <a href="connsp_2.html#M1" title="CONNSP_2:mode.1">a_neighborhood</a> of <font color="Olive" title="b2">a</font> <a href="algstr_0.html#K1" title="ALGSTR_0:func.1">+</a> <font color="Olive" title="b3">b</font>  ex <font color="Olive" title="b5">A</font> being    <a href="connsp_2.html#M1" title="CONNSP_2:mode.1">a_neighborhood</a> of <font color="Olive" title="b2">a</font> ex <font color="Olive" title="b6">B</font> being    <a href="connsp_2.html#M1" title="CONNSP_2:mode.1">a_neighborhood</a> of <font color="Olive" title="b3">b</font> st <font color="Olive" title="b5">A</font> <a href="ideal_1.html#K11" title="IDEAL_1:func.11">+</a> <font color="Olive" title="b6">B</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b4">W</font> ) holds <br/><font color="Olive" title="b1">T</font> is  <a href="group_1a.html#V8" title="GROUP_1A:attr.8">BinContinuous</a> </div></div>
