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<div>:: <span class="kw">deftheorem </span>   defines <a href="pythtrip.html#V2" title="PYTHTRIP:attr.2">simplified</a> <a onclick="hs(this)" href="javascript:()">PYTHTRIP:def 7 : <br/></a><span> for <font color="Olive" title="b1">X</font> being    <a href="pythtrip.html#M1" title="PYTHTRIP:mode.1">Pythagorean_triple</a>  holds <br/> ( <font color="Olive" title="b1">X</font> is  <a href="pythtrip.html#V2" title="PYTHTRIP:attr.2">simplified</a>  iff  for <font color="Olive" title="b2">k</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>   st (  for <font color="Olive" title="b3">n</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>   st <font color="Olive" title="b3">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">X</font> holds <br/><font color="Olive" title="b2">k</font> <a href="nat_d.html#R1" title="NAT_D:pred.1">divides</a> <font color="Olive" title="b3">n</font> ) holds <br/><font color="Olive" title="b2">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 );<br/></span></div>
