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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E23">Th22</font></span>: <a NAME="T23"><span class="comment"><font color="firebrick">:: RADIX_1:23</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">k</font>, <font color="Olive" title="b2">m</font>, <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">m</font> <a href="radix_1.html#R1" title="RADIX_1:pred.1">is_represented_by</a> 1,<font color="Olive" title="b1">k</font> &amp; <font color="Olive" title="b3">n</font> <a href="radix_1.html#R1" title="RADIX_1:pred.1">is_represented_by</a> 1,<font color="Olive" title="b1">k</font> holds <br/> <a href="radix_1.html#K11" title="RADIX_1:func.11">SD_Add_Carry</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> (<span class="p3">(<span class="default"><a href="radix_1.html#K10" title="RADIX_1:func.10">DecSD</a> (<font color="Olive" title="b2">m</font>,1,<font color="Olive" title="b1">k</font>)</span>)</span>,1)</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p2">(<span class="default"><a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> (<span class="p3">(<span class="default"><a href="radix_1.html#K10" title="RADIX_1:func.10">DecSD</a> (<font color="Olive" title="b3">n</font>,1,<font color="Olive" title="b1">k</font>)</span>)</span>,1)</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="radix_1.html#K11" title="RADIX_1:func.11">SD_Add_Carry</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">m</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b3">n</font></span>)</span></div></div>
