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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E51">Th40</font></span>: <a NAME="T40"><span class="comment"><font color="firebrick">:: LTLAXIO1:40</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="ltlaxio1.html#NK1" title="LTLAXIO1:NK.1">LTLB_WFF</a> <br/>  for <font color="Olive" title="b2">X</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="ltlaxio1.html#NK1" title="LTLAXIO1:NK.1">LTLB_WFF</a><br/>  for <font color="Olive" title="b3">f</font>, <font color="Olive" title="b4">f1</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="ltlaxio1.html#NK1" title="LTLAXIO1:NK.1">LTLB_WFF</a>   st <font color="Olive" title="b3">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">f1</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Olive" title="b1">p</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> &amp; 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b4">f1</font> &amp; (  for <font color="Olive" title="b5">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b5">i</font> &amp; <font color="Olive" title="b5">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b4">f1</font> holds <br/> <a href="ltlaxio1.html#R7" title="LTLAXIO1:pred.7">prc</a> <font color="Olive" title="b4">f1</font>,<font color="Olive" title="b2">X</font>,<font color="Olive" title="b5">i</font> ) &amp;  <a href="ltlaxio1.html#R7" title="LTLAXIO1:pred.7">prc</a> <font color="Olive" title="b3">f</font>,<font color="Olive" title="b2">X</font>, <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b3">f</font> holds <br/>( (  for <font color="Olive" title="b5">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b5">i</font> &amp; <font color="Olive" title="b5">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b3">f</font> holds <br/> <a href="ltlaxio1.html#R7" title="LTLAXIO1:pred.7">prc</a> <font color="Olive" title="b3">f</font>,<font color="Olive" title="b2">X</font>,<font color="Olive" title="b5">i</font> ) &amp; <font color="Olive" title="b2">X</font> <a href="ltlaxio1.html#R8" title="LTLAXIO1:pred.8">|-</a> <font color="Olive" title="b1">p</font> )</div></div>
