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<span class="kw">consider </span><font color="Maroon" title="c1">X</font> being    <a href="pythtrip.html#M1" title="PYTHTRIP:mode.1">Pythagorean_triple</a> <span class="kw"> such that </span><br/><a NAME="E2:33_1_1"/><span class="lab"><font color="Green" title="E20">A1</font></span>: 
( not <font color="Maroon" title="c1">X</font> is  <a href="pythtrip.html#V2" title="PYTHTRIP:attr.2">degenerate</a>  &amp; <font color="Maroon" title="c1">X</font> is  <a href="pythtrip.html#V3" title="PYTHTRIP:attr.3">simplified</a>  )
 <span class="kw">and </span><br/><a NAME="E3:33_1_1"/>
4 <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> 1 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">X</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="pythtrip.html#T14" target="_self" title="PYTHTRIP:th.14">Th14</a></span>;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c1">X</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( not <font color="Maroon" title="c1">X</font> is  <a href="pythtrip.html#V2" title="PYTHTRIP:attr.2">degenerate</a>  &amp; <font color="Maroon" title="c1">X</font> is  <a href="pythtrip.html#V3" title="PYTHTRIP:attr.3">simplified</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E4:33_1_1"/>
( not <font color="Maroon" title="c1">X</font> is  <a href="pythtrip.html#V2" title="PYTHTRIP:attr.2">degenerate</a>  &amp; <font color="Maroon" title="c1">X</font> is  <a href="pythtrip.html#V3" title="PYTHTRIP:attr.3">simplified</a>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:33_1_1"><span class="lab"><font color="Green" title="E20">A1</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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