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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E12">MOD</font></span>: <a NAME="T22"><span class="comment"><font color="firebrick">:: NEWTON06:22</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><br/>  for <font color="Olive" title="b2">b</font> being   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> holds <br/> (  not <font color="Olive" title="b2">b</font> <a href="int_1.html#R1" title="INT_1:pred.1">divides</a> <font color="Olive" title="b1">a</font> iff <span class="p1">(<span class="default"><font color="Olive" title="b1">a</font> <a href="int_1.html#K5" title="INT_1:func.5">mod</a> <font color="Olive" title="b2">b</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <font color="Olive" title="b1">a</font></span>)</span> <a href="int_1.html#K5" title="INT_1:func.5">mod</a> <font color="Olive" title="b2">b</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">b</font> )</div></div>
