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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th13</font></span>: <a NAME="T13"><span class="comment"><font color="firebrick">:: INT_5:13</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">i</font>, <font color="Olive" title="b3">j</font>, <font color="Olive" title="b4">m</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>  st <font color="Olive" title="b2">i</font> <a href="int_1.html#K5" title="INT_1:func.5">mod</a> <font color="Olive" title="b4">m</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">j</font> <a href="int_1.html#K5" title="INT_1:func.5">mod</a> <font color="Olive" title="b4">m</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b2">i</font> <a href="newton.html#K1" title="NEWTON:func.1">|^</a> <font color="Olive" title="b1">n</font></span>)</span> <a href="int_1.html#K5" title="INT_1:func.5">mod</a> <font color="Olive" title="b4">m</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">j</font> <a href="newton.html#K1" title="NEWTON:func.1">|^</a> <font color="Olive" title="b1">n</font></span>)</span> <a href="int_1.html#K5" title="INT_1:func.5">mod</a> <font color="Olive" title="b4">m</font></div></div>
