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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E17">Th13</font></span>: <a NAME="T13"><span class="comment"><font color="firebrick">:: NUMBER15:13</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">n</font>, <font color="Olive" title="b3">m</font>, <font color="Olive" title="b4">r</font>, <font color="Olive" title="b5">p</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> holds <br/> ( <font color="Olive" title="b1">k</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1">(<span class="default"><a href="number15.html#K1" title="NUMBER15:func.1">divisors</a> (<font color="Olive" title="b2">n</font>,<font color="Olive" title="b3">m</font>,<font color="Olive" title="b4">r</font>)</span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="number15.html#K1" title="NUMBER15:func.1">divisors</a> (<font color="Olive" title="b2">n</font>,<font color="Olive" title="b3">m</font>,<font color="Olive" title="b5">p</font>)</span>)</span> iff ( ( <font color="Olive" title="b1">k</font> <a href="int_1.html#K5" title="INT_1:func.5">mod</a> <font color="Olive" title="b3">m</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">r</font> or <font color="Olive" title="b1">k</font> <a href="int_1.html#K5" title="INT_1:func.5">mod</a> <font color="Olive" title="b3">m</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">p</font> ) &amp; <font color="Olive" title="b1">k</font> <a href="int_1.html#R1" title="INT_1:pred.1">divides</a> <font color="Olive" title="b2">n</font> ) )</div></div>
