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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E13">Th21</font></span>: <a NAME="T21"><span class="comment"><font color="firebrick">:: BINARITH:21</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">z1</font>, <font color="Olive" title="b3">z2</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="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a>  holds  <span class="p1">(<span class="default"><a href="binarith.html#K6" title="BINARITH:func.6">Absval</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">z1</font> <a href="binarith.html#K7" title="BINARITH:func.7">+</a> <font color="Olive" title="b3">z2</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <span class="p1">(<span class="default"><a href="funcop_1.html#K16" title="FUNCOP_1:func.16">IFEQ</a> (<span class="p2">(<span class="default"><a href="binarith.html#K8" title="BINARITH:func.8">add_ovfl</a> (<font color="Olive" title="b2">z1</font>,<font color="Olive" title="b3">z2</font>)</span>)</span>,<a href="margrel1.html#K6" title="MARGREL1:func.6">FALSE</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<span class="p2">(<span class="default">2 <a href="series_1.html#K5" title="SERIES_1:func.5">to_power</a> <font color="Olive" title="b1">n</font></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="binarith.html#K6" title="BINARITH:func.6">Absval</a> <font color="Olive" title="b2">z1</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <span class="p1">(<span class="default"><a href="binarith.html#K6" title="BINARITH:func.6">Absval</a> <font color="Olive" title="b3">z2</font></span>)</span></div></div>
