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<b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">IT</font> be    <a href="matrix_2.html#M3">Element</a> of  <a href="matrix_2.html#K12">Permutations</a> <font color="Maroon">n</font>;<br/>



<b>assume </b><a NAME="E1:34"/><i><font color="Green">E39</font></i>: 
<font color="Maroon">n</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 1
 ;<br/>

<b>hence </b><a NAME="E2:34"/>
( <font color="Maroon">IT</font> is <a href="matrix_2.html#V3">even</a> implies <font color="Maroon">IT</font> <a href="matrix_7.html#K3" target="_self">"</a>  is <a href="matrix_2.html#V3">even</a> )
 <b>by </b><i/>;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="34_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:34_1"/>
<font color="Maroon">IT</font> <a href="matrix_7.html#K3" target="_self">"</a>  is <a href="matrix_2.html#V3">even</a>
 ;<br/><a NAME="E2:34_1"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">IT</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>, </i>;<br/><b>hence </b><a NAME="E3:34_1"/>
<font color="Maroon">IT</font> is <a href="matrix_2.html#V3">even</a>
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:34"/>
( <font color="Maroon">IT</font> <a href="matrix_7.html#K3" target="_self">"</a>  is <a href="matrix_2.html#V3">even</a> implies <font color="Maroon">IT</font> is <a href="matrix_2.html#V3">even</a> )
 ;<br/>


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