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<div><span class="kw">theorem </span><a NAME="T32"><span class="comment"><font color="firebrick">:: NUMBER14:32</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">u</font> being   <a href="valued_0.html#V5" title="VALUED_0:attr.5">integer-valued</a>  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a><br/>  for <font color="Olive" title="b2">m</font> being   <a href="int_6.html#NM1" title="INT_6:NM.1">CR_Sequence</a>  st  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b1">u</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b2">m</font> holds <br/><span class="p1"> { <span class="default"> <font color="Olive" title="b3">z</font> where <font color="Olive" title="b3">z</font> is   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> : <font color="Olive" title="b3">z</font> <a href="number14.html#R2" title="NUMBER14:pred.2">solves_CRT</a> <font color="Olive" title="b1">u</font>,<font color="Olive" title="b2">m</font> </span> } </span>  is  <a href="finset_1.html#NV2" title="FINSET_1:NV.2">infinite</a> </div></div>
