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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E28">Diff210Mod11</font></span>: <a NAME="T39"><span class="comment"><font color="firebrick">:: NUMBER12:39</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being   <a href="valued_0.html#V6" title="VALUED_0:attr.6">natural-valued</a>   <a href="valued_0.html#V7" title="VALUED_0:attr.7">increasing</a>  <a href="number06.html#NM1" title="NUMBER06:NM.1">Arithmetic_Progression</a>  st (  for <font color="Olive" title="b2">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> 10 holds <br/><font color="Olive" title="b1">f</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b2">i</font> is   <a href="abian.html#NV2" title="ABIAN:NV.2">odd</a>  <a href="int_2.html#NM1" title="INT_2:NM.1">Prime</a> ) &amp;  <a href="number06.html#K2" title="NUMBER06:func.2">difference</a> <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 210 holds <br/> for <font color="Olive" title="b2">f0</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">f0</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">f</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> holds <br/><font color="Olive" title="b2">f0</font> <a href="nat_d.html#K4" title="NAT_D:func.4">mod</a> 11 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1</div></div>
