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<div><span class="kw">theorem </span><a NAME="T51"><span class="comment"><font color="firebrick">:: NUMBER02:51</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st ( <font color="Olive" title="b1">a</font> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 7 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 or <font color="Olive" title="b1">a</font> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 7 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 or <font color="Olive" title="b1">a</font> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 7 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4 ) &amp; ( <font color="Olive" title="b2">b</font> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 7 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 or <font color="Olive" title="b2">b</font> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 7 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 or <font color="Olive" title="b2">b</font> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 7 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4 ) holds <br/> not  not <span class="p1">(<span class="default"><font color="Olive" title="b1">a</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b2">b</font></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 7 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp;  ...  &amp;  not <span class="p1">(<span class="default"><font color="Olive" title="b1">a</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b2">b</font></span>)</span> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 7 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6</div></div>
