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<div><span class="kw">theorem </span><a NAME="T17"><span class="comment"><font color="firebrick">:: RADIX_2:17</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>  st <font color="Olive" title="b1">n</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 1 holds <br/> for <font color="Olive" title="b2">m</font>, <font color="Olive" title="b3">k</font>, <font color="Olive" title="b4">f</font>, <font color="Olive" title="b5">ie</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b5">ie</font> <a href="radix_1.html#R1" title="RADIX_1:pred.1">is_represented_by</a> <font color="Olive" title="b1">n</font>,<font color="Olive" title="b3">k</font> &amp; <font color="Olive" title="b4">f</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/> for <font color="Olive" title="b6">e</font> being   <a href="finseq_2.html#NM3" title="FINSEQ_2:NM.3">Tuple</a> of <font color="Olive" title="b1">n</font>, <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>   st <font color="Olive" title="b6">e</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="radix_2.html#K5" title="RADIX_2:func.5">DecSD2</a> (<font color="Olive" title="b5">ie</font>,<font color="Olive" title="b1">n</font>,<font color="Olive" title="b3">k</font>) holds <br/><span class="p1">(<span class="default"><a href="radix_2.html#K9" title="RADIX_2:func.9">Pow_mod</a> (<font color="Olive" title="b2">m</font>,<font color="Olive" title="b6">e</font>,<font color="Olive" title="b4">f</font>,<font color="Olive" title="b3">k</font>)</span>)</span> <a href="recdef_1.html#K1" title="RECDEF_1:func.1">.</a> <font color="Olive" title="b1">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">m</font> <a href="newton.html#K1" title="NEWTON:func.1">|^</a> <font color="Olive" title="b5">ie</font></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> <font color="Olive" title="b4">f</font></div></div>
