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<div><span class="kw">theorem </span><a NAME="T28"><span class="comment"><font color="firebrick">:: BINARI_4:28</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">h</font>, <font color="Olive" title="b3">i</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>  st ( ( <font color="Olive" title="b2">h</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  ) or ( <font color="Olive" title="b2">h</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  ) ) &amp; <font color="Olive" title="b2">h</font> <a href="int_1.html#K5" title="INT_1:func.5">mod</a> <span class="p1">(<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> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">i</font> <a href="int_1.html#K5" title="INT_1:func.5">mod</a> <span class="p1">(<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> holds <br/> <a href="binari_4.html#K2" title="BINARI_4:func.2">2sComplement</a> (<font color="Olive" title="b1">n</font>,<font color="Olive" title="b2">h</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="binari_4.html#K2" title="BINARI_4:func.2">2sComplement</a> (<font color="Olive" title="b1">n</font>,<font color="Olive" title="b3">i</font>) <span class="kw">by</span> <span class="lab"><a class="txt" href="binari_4.html#E34"><span class="lab"><font color="Green" title="E22">Lm5</font></span></a>, <a class="txt" href="binari_4.html#E35"><span class="lab"><font color="Green" title="E23">Lm6</font></span></a></span>;<br/></div></div>
