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<span class="kw">consider </span><font color="Maroon" title="c2">A</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="dilworth.html#NM2" title="DILWORTH:NM.2">StableSet</a> of <font color="Maroon" title="c1">R</font><span class="kw"> such that </span><br/><a NAME="E2:45_1_1"/><span class="lab"><font color="Green" title="E21">A</font></span>: 
for <font color="Olive" title="b1">B</font> being  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="dilworth.html#NM2" title="DILWORTH:NM.2">StableSet</a> of <font color="Maroon" title="c1">R</font> holds   <a href="card_1.html#K5" title="CARD_1:func.5">card</a> <font color="Maroon" title="c2">A</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="card_1.html#K5" title="CARD_1:func.5">card</a> <font color="Olive" title="b1">B</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="dilworth.html#D5" target="_self" title="DILWORTH:def.5">Lfwidth</a></span>;<br/>
<span class="kw">given </span><font color="Maroon" title="c3">B</font> being   <a href="dilworth.html#NM2" title="DILWORTH:NM.2">StableSet</a> of <font color="Maroon" title="c1">R</font><span class="kw"> such that </span><a NAME="E4:45_1_1"/><span class="lab"><font color="Green" title="E22">B</font></span>: 
not <font color="Maroon" title="c3">B</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> contradiction</span><br/>

<span class="kw">consider </span><font color="Maroon" title="c4">C</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c3">B</font><span class="kw"> such that </span><br/><a NAME="E6:45_1_1"/><span class="lab"><font color="Green" title="E23">C</font></span>: 
 <a href="card_1.html#K5" title="CARD_1:func.5">card</a> <font color="Maroon" title="c4">C</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="card_1.html#K5" title="CARD_1:func.5">card</a> <font color="Maroon" title="c2">A</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:45_1_1"><span class="lab"><font color="Green" title="E22">B</font></span></a>, <a class="ref" href="dilworth.html#T5" target="_self" title="DILWORTH:th.5">Sinfset</a></span>;<br/>
<a NAME="E7:45_1_1"/>
<font color="Maroon" title="c4">C</font> is   <a href="dilworth.html#NM2" title="DILWORTH:NM.2">StableSet</a> of <font color="Maroon" title="c1">R</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="dilworth.html#T16" target="_self" title="DILWORTH:th.16">AChain0</a></span>;<br/>
<span class="kw">hence </span><a NAME="E8:45_1_1"/>
contradiction
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:45_1_1"><span class="lab"><font color="Green" title="E21">A</font></span></a>, <a class="txt" href="#E6:45_1_1"><span class="lab"><font color="Green" title="E23">C</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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