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<div><span class="kw">theorem </span><a NAME="T64"><span class="comment"><font color="firebrick">:: SIMPLEX0:64</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b3">KX</font> being    <a href="simplex0.html#M1" title="SIMPLEX0:mode.1">SimplicialComplexStr</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b4">P</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> holds   <a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <span class="p1">(<span class="default"><a href="simplex0.html#K12" title="SIMPLEX0:func.12">subdivision</a> (<font color="Olive" title="b2">n</font>,<font color="Olive" title="b4">P</font>,<font color="Olive" title="b3">KX</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Olive" title="b3">KX</font></div></div>
