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<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: RADIX_3:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">i1</font>, <font color="Olive" title="b3">i2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>  st 2 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">k</font> &amp; <font color="Olive" title="b2">i1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">k</font> <a href="radix_1.html#K3" title="RADIX_1:func.3">-SD</a>  &amp; <font color="Olive" title="b3">i2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">k</font> <a href="radix_3.html#K4" title="RADIX_3:func.4">-SD_Sub</a>  holds <br/> <a href="radix_3.html#K6" title="RADIX_3:func.6">SDSub_Add_Data</a> (<span class="p1">(<span class="default"><font color="Olive" title="b2">i1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b3">i2</font></span>)</span>,<font color="Olive" title="b1">k</font>) <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">k</font> <a href="radix_3.html#K3" title="RADIX_3:func.3">-SD_Sub_S</a> </div></div>
