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<div><span class="kw">theorem </span><a NAME="T10"><span class="comment"><font color="firebrick">:: TOPDIM_1:10</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a><br/>  for <font color="Olive" title="b2">G</font> being   <a href="struct_0.html#NM3" title="STRUCT_0:NM.3">Subset-Family</a> of <font color="Olive" title="b1">T</font> holds <br/> ( (  <a href="topdim_1.html#K3" title="TOPDIM_1:func.3">ind</a> <font color="Olive" title="b2">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1 &amp; <font color="Olive" title="b2">G</font> is  <a href="topdim_1.html#NV4" title="TOPDIM_1:NV.4">finite-ind</a>  ) iff <font color="Olive" title="b2">G</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p2">(<span class="default"><a href="struct_0.html#K1" title="STRUCT_0:func.1">{}</a> <font color="Olive" title="b1">T</font></span>)</span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> )</div></div>
