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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="E2:32_1_1"/><span class="lab"><font color="Green" title="E15">A1</font></span>: 
(  not <font color="Maroon" title="c1">X</font> is  <a href="pythtrip.html#NV2" title="PYTHTRIP:NV.2">degenerate</a>  &amp; <font color="Maroon" title="c1">X</font> is  <a href="pythtrip.html#V2" title="PYTHTRIP:attr.2">simplified</a>  )
 <span class="kw">and </span><br/><a NAME="E3:32_1_1"/>
4 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1 <a href="tarski.html#R2" title="TARSKI: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" onmouseover="rs('pythtrip/T14')" onmouseout="rh()">Th14</a></span>;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c1">X</font>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  not <font color="Maroon" title="c1">X</font> is  <a href="pythtrip.html#NV2" title="PYTHTRIP:NV.2">degenerate</a>  &amp; <font color="Maroon" title="c1">X</font> is  <a href="pythtrip.html#V2" title="PYTHTRIP:attr.2">simplified</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E4:32_1_1"/>
(  not <font color="Maroon" title="c1">X</font> is  <a href="pythtrip.html#NV2" title="PYTHTRIP:NV.2">degenerate</a>  &amp; <font color="Maroon" title="c1">X</font> is  <a href="pythtrip.html#V2" title="PYTHTRIP:attr.2">simplified</a>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:32_1_1"><span class="lab"><font color="Green" title="E15">A1</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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