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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E32">Th51</font></span>: <a NAME="T52"><span class="comment"><font color="firebrick">:: VALUED_1:52</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">p</font>, <font color="Olive" title="b3">q</font> being   <a href="finseq_1.html#NM4" title="FINSEQ_1:NM.4">FinSubsequence</a>  st <font color="Olive" title="b3">q</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">p</font> holds <br/> <a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> (<font color="Olive" title="b3">q</font>,<font color="Olive" title="b1">i</font>) <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> (<font color="Olive" title="b2">p</font>,<font color="Olive" title="b1">i</font>)</div></div>
