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<div><span class="kw">theorem </span><a NAME="T50"><span class="comment"><font color="firebrick">:: NAT_3:50</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font>, <font color="Olive" title="b2">m</font> being   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">m</font> <a href="nat_d.html#R1" title="NAT_D:pred.1">divides</a> <font color="Olive" title="b1">n</font> holds <br/> <a href="nat_3.html#NK13" title="NAT_3:NK.13">pfexp</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">n</font> <a href="nat_d.html#K3" title="NAT_D:func.3">div</a> <font color="Olive" title="b2">m</font></span>)</span> <a href="pboole.html#R8" title="PBOOLE:pred.8">=</a> <span class="p1">(<span class="default"><a href="nat_3.html#NK13" title="NAT_3:NK.13">pfexp</a> <font color="Olive" title="b1">n</font></span>)</span> <a href="pre_poly.html#K12" title="PRE_POLY:func.12">-'</a> <span class="p1">(<span class="default"><a href="nat_3.html#NK13" title="NAT_3:NK.13">pfexp</a> <font color="Olive" title="b2">m</font></span>)</span></div></div>
