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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E43">Def19</font></span>   defines <a href="simplex0.html#M4" title="SIMPLEX0:mode.4">Face</a> <a onclick="hs(this)" href="javascript:()">SIMPLEX0:def 19 : <br/></a><span> for <font color="Olive" title="b1">K</font> being   non  <a href="pencil_1.html#V3" title="PENCIL_1:attr.3">void</a>   <a href="matroid0.html#V1" title="MATROID0:attr.1">subset-closed</a>  <a href="simplex0.html#NM1" title="SIMPLEX0:NM.1">SimplicialComplexStr</a><br/>  for <font color="Olive" title="b2">i</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st <font color="Olive" title="b2">i</font> is  <a href="int_1.html#V1" title="INT_1:attr.1">integer</a>  &amp; <font color="Olive" title="b2">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="simplex0.html#K6" title="SIMPLEX0:func.6">degree</a> <font color="Olive" title="b1">K</font> holds <br/> for <font color="Olive" title="b3">S</font> being    <a href="simplex0.html#M3" title="SIMPLEX0:mode.3">Simplex</a> of <font color="Olive" title="b2">i</font>,<font color="Olive" title="b1">K</font><br/>  for <font color="Olive">b<sub>4</sub></font> being    <a href="simplex0.html#M3" title="SIMPLEX0:mode.3">Simplex</a> of  <a href="xxreal_0.html#K4" title="XXREAL_0:func.4">max</a> (<span class="p1">(<span class="default"><font color="Olive" title="b2">i</font> <a href="xxreal_3.html#K3" title="XXREAL_3:func.3">-</a> 1</span>)</span>,<span class="p1">(<span class="default"><a href="simplex0.html#K9" title="SIMPLEX0:func.9">-</a> 1</span>)</span>),<font color="Olive" title="b1">K</font> holds <br/> ( <font color="Olive">b<sub>4</sub></font> is    <a href="simplex0.html#M4" title="SIMPLEX0:mode.4">Face</a> of <font color="Olive" title="b3">S</font> iff <font color="Olive">b<sub>4</sub></font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b3">S</font> );<br/></span></div>
