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<span class="kw">let </span><font color="Maroon" title="c2">S</font> be    <a href="simplex0.html#M3" title="SIMPLEX0:mode.3">Simplex</a> of  <a href="simplex0.html#K9" title="SIMPLEX0:func.9">-</a> 1,<font color="Maroon" title="c1">K</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c2">S</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> </span><br/>

<a NAME="E1:112_1_1"/>
 <a href="simplex0.html#K9" title="SIMPLEX0:func.9">-</a> 1 <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="Maroon" title="c1">K</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="simplex0.html#T23" target="_self" onmouseover="rs('simplex0/T23')" onmouseout="rh()">Th23</a></span>;<br/>
<span class="kw">then </span> <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Maroon" title="c2">S</font> = 
<span class="p1">(<span class="default"><a href="simplex0.html#K9" title="SIMPLEX0:func.9">-</a> 1</span>)</span> <a href="xxreal_3.html#K1" title="XXREAL_3:func.1">+</a> 1
<span class="kw">by</span> <span class="lab"><a class="ref" href="simplex0.html#D18" target="_self" onmouseover="rs('simplex0/D18')" onmouseout="rh()">Def18</a></span>
<br/>.= 
 <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 

;<br/>
<span class="kw">hence </span><a NAME="E3:112_1_1"/>
<font color="Maroon" title="c2">S</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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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