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<div><span class="kw">theorem </span><a NAME="T55"><span class="comment"><font color="firebrick">:: NUMBER14:55</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">m</font> being   <a href="xxreal_0.html#V2" title="XXREAL_0:attr.2">positive</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  ex <font color="Olive" title="b3">a</font>, <font color="Olive" title="b4">b</font> being   <a href="xxreal_0.html#V2" title="XXREAL_0:attr.2">positive</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <br/>( 2 <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Olive" title="b2">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">a</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <font color="Olive" title="b4">b</font> &amp; <font color="Olive" title="b3">a</font>,<font color="Olive" title="b1">m</font> <a href="int_2.html#R1" title="INT_2:pred.1">are_coprime</a>  &amp; <font color="Olive" title="b4">b</font>,<font color="Olive" title="b1">m</font> <a href="int_2.html#R1" title="INT_2:pred.1">are_coprime</a>  )</div></div>
