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<div>:: <span class="kw">deftheorem </span>   defines <a href="idea_1.html#K9" title="IDEA_1:func.9">MUL_MOD</a> <a onclick="hs(this)" href="javascript:()">IDEA_1:def 9 : <br/></a><span> for <font color="Olive" title="b1">n</font>, <font color="Olive" title="b2">i</font>, <font color="Olive" title="b3">j</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds   <a href="idea_1.html#K9" title="IDEA_1:func.9">MUL_MOD</a> (<font color="Olive" title="b2">i</font>,<font color="Olive" title="b3">j</font>,<font color="Olive" title="b1">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="idea_1.html#K8" title="IDEA_1:func.8">ChangeVal_2</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="idea_1.html#K7" title="IDEA_1:func.7">ChangeVal_1</a> (<font color="Olive" title="b2">i</font>,<font color="Olive" title="b1">n</font>)</span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p3">(<span class="default"><a href="idea_1.html#K7" title="IDEA_1:func.7">ChangeVal_1</a> (<font color="Olive" title="b3">j</font>,<font color="Olive" title="b1">n</font>)</span>)</span></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="series_1.html#K5" title="SERIES_1:func.5">to_power</a> <font color="Olive" title="b1">n</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>,<font color="Olive" title="b1">n</font>);<br/></span></div>
