<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: RADIX_5:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font>, <font color="Olive" title="b2">k</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 &amp; <font color="Olive" title="b2">k</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 2 holds <br/> for <font color="Olive" title="b3">tx</font>, <font color="Olive" title="b4">ty</font>, <font color="Olive" title="b5">tz</font> being   <a href="finseq_2.html#NM3" title="FINSEQ_2:NM.3">Tuple</a> of <font color="Olive" title="b1">n</font>,<font color="Olive" title="b2">k</font> <a href="radix_1.html#K3" title="RADIX_1:func.3">-SD</a>   st (  for <font color="Olive" title="b6">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  holds <br/>(  not <font color="Olive" title="b6">i</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <font color="Olive" title="b1">n</font> or (  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> (<font color="Olive" title="b3">tx</font>,<font color="Olive" title="b6">i</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> (<font color="Olive" title="b5">tz</font>,<font color="Olive" title="b6">i</font>) &amp;  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> (<font color="Olive" title="b4">ty</font>,<font color="Olive" title="b6">i</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  ) or (  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> (<font color="Olive" title="b4">ty</font>,<font color="Olive" title="b6">i</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> (<font color="Olive" title="b5">tz</font>,<font color="Olive" title="b6">i</font>) &amp;  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> (<font color="Olive" title="b3">tx</font>,<font color="Olive" title="b6">i</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  ) ) ) holds <br/><span class="p1">(<span class="default"><a href="radix_1.html#K8" title="RADIX_1:func.8">SDDec</a> <font color="Olive" title="b5">tz</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="radix_1.html#K8" title="RADIX_1:func.8">SDDec</a> <span class="p2">(<span class="default"><a href="radix_1.html#K10" title="RADIX_1:func.10">DecSD</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<font color="Olive" title="b1">n</font>,<font color="Olive" title="b2">k</font>)</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="radix_1.html#K8" title="RADIX_1:func.8">SDDec</a> <font color="Olive" title="b3">tx</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="radix_1.html#K8" title="RADIX_1:func.8">SDDec</a> <font color="Olive" title="b4">ty</font></span>)</span></div></div>
