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<a NAME="E1:64_1_1"/>
(  <a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <span class="p1">(<span class="default"><a href="simplex0.html#K5" title="SIMPLEX0:func.5">Complex_of</a> <font color="Maroon" title="c2">Y</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">X</font> &amp;  <a href="simplex0.html#K2" title="SIMPLEX0:func.2">subset-closed_closure_of</a> <font color="Maroon" title="c2">Y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matroid0.html#K1" title="MATROID0:func.1">the_family_of</a> <a href="pre_topc.html#G1" title="PRE_TOPC:aggr.1">TopStruct</a>(# <font color="Maroon" title="c1">X</font>,<span class="p1">(<span class="default"><a href="simplex0.html#K2" title="SIMPLEX0:func.2">subset-closed_closure_of</a> <font color="Maroon" title="c2">Y</font></span>)</span> #) )
 
;<br/>
<span class="kw">hence </span><a NAME="E2:64_1_1"/>
(  <a href="simplex0.html#K5" title="SIMPLEX0:func.5">Complex_of</a> <font color="Maroon" title="c2">Y</font> is  <a href="simplex0.html#V6" title="SIMPLEX0:attr.6">total</a>  &amp;  <a href="simplex0.html#K5" title="SIMPLEX0:func.5">Complex_of</a> <font color="Maroon" title="c2">Y</font> is  <a href="matroid0.html#V1" title="MATROID0:attr.1">subset-closed</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="simplex0.html#D10" target="_self" title="SIMPLEX0:def.10">Def10</a>, <a class="ref" href="matroid0.html#D3" title="MATROID0:def.3">MATROID0:def 3</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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