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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="matrix_2.html#M3">Element</a> of  <a href="matrix_2.html#K11">Permutations</a> <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>assume </b><a NAME="E1:35"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 1
 ;<br/>

<b>hence </b><a NAME="E2:35"/>
( <font color="Maroon">c<sub>2</sub></font> is <a href="matrix_2.html#V3">even</a> implies <font color="Maroon">c<sub>2</sub></font> <a href="matrix_7.html#K3" target="_self">"</a>  is <a href="matrix_2.html#V3">even</a> )
 <b>by </b><i><a class="txt" href="matrix_7.html#E35"><i><font color="Green">Lemma29</font></i></a></i>;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="35_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:35_1"/>
<font color="Maroon">c<sub>2</sub></font> <a href="matrix_7.html#K3" target="_self">"</a>  is <a href="matrix_2.html#V3">even</a>
 ;<br/><a NAME="E2:35_1"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="matrix_7.html#K3" target="_self">"</a> </span>)</span> <a href="matrix_7.html#K3" target="_self">"</a>  is <a href="matrix_2.html#V3">even</a>
 <b>by </b><i><a class="txt" href="matrix_7.html#E35"><i><font color="Green">Lemma29</font></i></a>, <a class="txt" href="matrix_7.html#E1:35"><i><font color="Green">E32</font></i></a></i>;<br/><b>hence </b><a NAME="E3:35_1"/>
<font color="Maroon">c<sub>2</sub></font> is <a href="matrix_2.html#V3">even</a>
 <b>by </b><i><a class="txt" href="matrix_7.html#E36"><i><font color="Green">Lemma30</font></i></a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:35"/>
( <font color="Maroon">c<sub>2</sub></font> <a href="matrix_7.html#K3" target="_self">"</a>  is <a href="matrix_2.html#V3">even</a> implies <font color="Maroon">c<sub>2</sub></font> is <a href="matrix_2.html#V3">even</a> )
 ;<br/>


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