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<div><span class="kw">theorem </span><a NAME="T33"><span class="comment"><font color="firebrick">:: FINTOPO2:33</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">FMT</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="fintopo2.html#L1" title="FINTOPO2:struct.1">FMT_Space_Str</a>   st <font color="Olive" title="b1">FMT</font> is  <a href="fintopo2.html#V2" title="FINTOPO2:attr.2">Fo_filled</a>  &amp; (  for <font color="Olive" title="b2">A</font>, <font color="Olive" title="b3">B</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">FMT</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b2">A</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Olive" title="b3">B</font></span>)</span> <a href="fintopo2.html#K8" title="FINTOPO2:func.8">^Fodelta</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">A</font> <a href="fintopo2.html#K8" title="FINTOPO2:func.8">^Fodelta</a></span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">B</font> <a href="fintopo2.html#K8" title="FINTOPO2:func.8">^Fodelta</a></span>)</span> ) holds <br/> for <font color="Olive" title="b2">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">FMT</font><br/>  for <font color="Olive" title="b3">V1</font>, <font color="Olive" title="b4">V2</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">FMT</font>  st <font color="Olive" title="b3">V1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="fintopo2.html#K6" title="FINTOPO2:func.6">U_FMT</a> <font color="Olive" title="b2">x</font> &amp; <font color="Olive" title="b4">V2</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="fintopo2.html#K6" title="FINTOPO2:func.6">U_FMT</a> <font color="Olive" title="b2">x</font> holds <br/> ex <font color="Olive" title="b5">W</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">FMT</font> st <br/>( <font color="Olive" title="b5">W</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="fintopo2.html#K6" title="FINTOPO2:func.6">U_FMT</a> <font color="Olive" title="b2">x</font> &amp; <font color="Olive" title="b5">W</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b3">V1</font> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <font color="Olive" title="b4">V2</font> )</div></div>
