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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E3">Th4</font></span>: <a NAME="T4"><span class="comment"><font color="firebrick">:: FINTOPO5:4</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">FT1</font>, <font color="Olive" title="b2">FT2</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b3">h</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">FT1</font>,<font color="Olive" title="b2">FT2</font><br/>  for <font color="Olive" title="b4">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b5">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">FT1</font><br/>  for <font color="Olive" title="b6">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">FT2</font>  st <font color="Olive" title="b3">h</font> is  <a href="fintopo5.html#V1" title="FINTOPO5:attr.1">being_homeomorphism</a>  &amp; <font color="Olive" title="b6">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">h</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b5">x</font> holds <br/> for <font color="Olive" title="b7">z</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">FT1</font> holds <br/> ( <font color="Olive" title="b7">z</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="fintopo3.html#K10" title="FINTOPO3:func.10">U_FT</a> (<font color="Olive" title="b5">x</font>,<font color="Olive" title="b4">n</font>) iff <font color="Olive" title="b3">h</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b7">z</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="fintopo3.html#K10" title="FINTOPO3:func.10">U_FT</a> (<font color="Olive" title="b6">y</font>,<font color="Olive" title="b4">n</font>) )</div></div>
