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<b>let </b><font color="Maroon">Omega</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/>

<a NAME="E1:24"/><i><font color="Green">E31</font></i>: 
( ( for <font color="Olive">f</font> being  <a href="prob_1.html#NM2">SetSequence</a> of <font color="Maroon">Omega</font>  st  <a href="relat_1.html#K2">rng</a> <font color="Olive">f</font> <a href="tarski.html#R1">c=</a>  <a href="zfmisc_1.html#K1">bool</a> <font color="Maroon">Omega</font> &amp; <font color="Olive">f</font> is <a href="prob_2.html#V1">disjoint_valued</a> holds <br/> <a href="prob_1.html#K2">Union</a> <font color="Olive">f</font> <a href="hidden.html#R2">in</a>  <a href="zfmisc_1.html#K1">bool</a> <font color="Maroon">Omega</font> ) &amp; ( for <font color="Olive">X</font> being  <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">Omega</font>  st <font color="Olive">X</font> <a href="hidden.html#R2">in</a>  <a href="zfmisc_1.html#K1">bool</a> <font color="Maroon">Omega</font> holds <br/><font color="Olive">X</font> <a href="subset_1.html#K3">`</a>  <a href="hidden.html#R2">in</a>  <a href="zfmisc_1.html#K1">bool</a> <font color="Maroon">Omega</font> ) )
 
;<br/>
<a NAME="E2:24"/>
 <a href="xboole_0.html#K1">{}</a>  <a href="tarski.html#R1">c=</a> <font color="Maroon">Omega</font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T2">XBOOLE_1:2</a></i>;<br/>
<a NAME="E3:24"/><b>then </b>
(  <a href="zfmisc_1.html#K1">bool</a> <font color="Maroon">Omega</font> <a href="tarski.html#R1">c=</a>  <a href="zfmisc_1.html#K1">bool</a> <font color="Maroon">Omega</font> &amp;  <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R2">in</a>  <a href="zfmisc_1.html#K1">bool</a> <font color="Maroon">Omega</font> )
 
;<br/>
<b>hence </b><a NAME="E4:24"/>
 <a href="zfmisc_1.html#K1">bool</a> <font color="Maroon">Omega</font> is    <a href="dynkin.html#M1" target="_self">Dynkin_System</a> of <font color="Maroon">Omega</font>
 <b>by </b><i>, </i>;<br/>


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