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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E23">Def10</font></span>   defines <a href="idea_1.html#K10" title="IDEA_1:func.10">INV_MOD</a> <a onclick="hs(this)" href="javascript:()">IDEA_1:def 10 : <br/></a><span> for <font color="Olive" title="b1">n</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><br/>  for <font color="Olive" title="b2">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">i</font> <a href="idea_1.html#R1" title="IDEA_1:pred.1">is_expressible_by</a> <font color="Olive" title="b1">n</font> &amp; <span class="p1">(<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 is  <a href="int_2.html#V1" title="INT_2:attr.1">prime</a>  holds <br/> for <font color="Olive">b<sub>3</sub></font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="idea_1.html#K10" title="IDEA_1:func.10">INV_MOD</a> (<font color="Olive" title="b2">i</font>,<font color="Olive" title="b1">n</font>) iff (  <a href="idea_1.html#K9" title="IDEA_1:func.9">MUL_MOD</a> (<font color="Olive" title="b2">i</font>,<font color="Olive">b<sub>3</sub></font>,<font color="Olive" title="b1">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp; <font color="Olive">b<sub>3</sub></font> <a href="idea_1.html#R1" title="IDEA_1:pred.1">is_expressible_by</a> <font color="Olive" title="b1">n</font> ) );<br/></span></div>
