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<b>let </b><font color="Maroon">n</font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>

<b>assume </b><a NAME="E1:56"/><i><font color="Green">E31</font></i>: 
<font color="Maroon">n</font> <a href="nat_1.html#K6" target="_self">mod</a> 2 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 ;<br/>

<a NAME="E2:56"/>
( 2 <a href="hidden.html#R1">=</a> 1 <a href="nat_1.html#K1" target="_self">+</a> 1 &amp; <font color="Maroon">n</font> <a href="nat_1.html#K6" target="_self">mod</a> 2 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 2 )
 
<b>by </b><i/>;<br/>
<a NAME="E3:56"/><b>then </b>
( <font color="Maroon">n</font> <a href="nat_1.html#K6" target="_self">mod</a> 2 <a href="xxreal_0.html#R1">&lt;=</a> 1 &amp; <font color="Maroon">n</font> <a href="nat_1.html#K6" target="_self">mod</a> 2 <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 1 )
 
<b>by </b><i>, , </i>;<br/>
<b>hence </b><a NAME="E4:56"/>
<font color="Maroon">n</font> <a href="nat_1.html#K6" target="_self">mod</a> 2 <a href="hidden.html#R1">=</a> 1
 <b>by </b><i><a class="ref" href="xxreal_0.html#T1">XXREAL_0:1</a></i>;<br/>


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