<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T6"><span class="comment"><font color="firebrick">:: FINANCE4:6</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Omega</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">Sigma</font> being   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Olive" title="b1">Omega</font>  st <font color="Olive" title="b1">Omega</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="enumset1.html#K2" title="ENUMSET1:func.2">{</a><span class="default">1,2,3,4</span><a href="enumset1.html#K2" title="ENUMSET1:func.2">}</a></span> holds <br/> for <font color="Olive" title="b3">MyFunc</font> being    <a href="finance3.html#M1" title="FINANCE3:mode.1">Filtration</a> of  <a href="finance4.html#K2" title="FINANCE4:func.2">StoppingSet</a> 2,<font color="Olive" title="b2">Sigma</font>  st <font color="Olive" title="b3">MyFunc</font> <a href="prob_1.html#K13" title="PROB_1:func.13">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finance3.html#K8" title="FINANCE3:func.8">Special_SigmaField1</a>  &amp; <font color="Olive" title="b3">MyFunc</font> <a href="prob_1.html#K13" title="PROB_1:func.13">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finance3.html#K9" title="FINANCE3:func.9">Special_SigmaField2</a>  &amp; <font color="Olive" title="b3">MyFunc</font> <a href="prob_1.html#K13" title="PROB_1:func.13">.</a> 2 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="random_1.html#K1" title="RANDOM_1:func.1">Trivial-SigmaField</a> <font color="Olive" title="b1">Omega</font> holds <br/> ex <font color="Olive" title="b4">ST</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b1">Omega</font>,<span class="p1">(<span class="default"><a href="finance4.html#K3" title="FINANCE4:func.3">StoppingSetExt</a> 2</span>)</span> st <br/>( <font color="Olive" title="b4">ST</font> <a href="finance4.html#R2" title="FINANCE4:pred.2">is_StoppingTime_wrt</a> <font color="Olive" title="b3">MyFunc</font>,2 &amp; <font color="Olive" title="b4">ST</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp; <font color="Olive" title="b4">ST</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 2 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp; <font color="Olive" title="b4">ST</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 3 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 &amp; <font color="Olive" title="b4">ST</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 4 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 &amp; <span class="p1"> { <span class="default"> <font color="Olive" title="b5">w</font> where <font color="Olive" title="b5">w</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">Omega</font> : <font color="Olive" title="b4">ST</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b5">w</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  </span> } </span>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <span class="p1"> { <span class="default"> <font color="Olive" title="b5">w</font> where <font color="Olive" title="b5">w</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">Omega</font> : <font color="Olive" title="b4">ST</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b5">w</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 </span> } </span>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default">1,2</span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span> &amp; <span class="p1"> { <span class="default"> <font color="Olive" title="b5">w</font> where <font color="Olive" title="b5">w</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">Omega</font> : <font color="Olive" title="b4">ST</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b5">w</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 </span> } </span>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default">3,4</span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span> )</div></div>
