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<div><span class="kw">theorem </span><a NAME="T31"><span class="comment"><font color="firebrick">:: PEPIN:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">m</font>, <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds <br/> ( <font color="Olive" title="b1">m</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">n</font> iff 2 <a href="newton.html#K1" title="NEWTON:func.1">|^</a> <font color="Olive" title="b1">m</font> <a href="nat_d.html#R1" title="NAT_D:pred.1">divides</a> 2 <a href="newton.html#K1" title="NEWTON:func.1">|^</a> <font color="Olive" title="b2">n</font> ) <span class="kw">by</span> <span class="lab"><a class="txt" href="pepin.html#E18"><span class="lab"><font color="Green" title="E14">Lm6</font></span></a>, <a class="txt" href="pepin.html#E40"><span class="lab"><font color="Green" title="E25">Lm10</font></span></a></span>;<br/></div></div>
