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<div><span class="kw">theorem </span><a NAME="T4"><span class="comment"><font color="firebrick">:: NUMBER16:4</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">s</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">b</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>  &amp; <font color="Olive" title="b3">s</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/> ex <font color="Olive" title="b4">m</font>, <font color="Olive" title="b5">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <span class="p1">(<span class="default"><a href="numeral1.html#K2" title="NUMERAL1:func.2">digits</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="number06.html#K1" title="NUMBER06:func.1">ArProg</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>)</span>)</span> <a href="recdef_1.html#K1" title="RECDEF_1:func.1">.</a> <font color="Olive" title="b4">m</font></span>)</span>,10)</span>)</span> <a href="afinsq_2.html#K2" title="AFINSQ_2:func.2">/^</a> <font color="Olive" title="b5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numeral1.html#K2" title="NUMERAL1:func.2">digits</a> (<font color="Olive" title="b3">s</font>,10) <span class="kw">by</span> <span class="lab"><a class="ref" href="number16.html#T3" target="_self" onmouseover="rs('number16/T3')" onmouseout="rh()">Th3</a></span>;<br/></div></div>
