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<b>reconsider </b><font color="Maroon" title="c4">F</font> = <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> as   <a href="struct_0.html#NM3" title="STRUCT_0:NM.3">Subset-Family</a> of <font color="Maroon" title="c3">P</font> <b>by </b><i><a class="ref" href="measure1.html#T9" title="MEASURE1:th.9">MEASURE1:9</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c4">F</font>
;<br/>

<b>thus </b><a NAME="E2:199_1_1"/>
not <font color="Maroon" title="c4">F</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>
 ;<br/>

<b>let </b><font color="Maroon" title="c5">S</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c3">P</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="pcs_0.html#D44" target="_self" title="PCS_0:def.44">PCS_0:def 44</a><br/>

<b>assume </b><a NAME="E3:199_1_1"/>
<font color="Maroon" title="c5">S</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">F</font>
 ;<br/>

<a NAME="E4:199_1_1"/><b>then </b>
<font color="Maroon" title="c5">S</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K1" title="STRUCT_0:func.1">{}</a> <font color="Maroon" title="c3">P</font>
 
<b>by </b><i><a class="ref" href="tarski.html#D1" title="TARSKI:def.1">TARSKI:def 1</a></i>;<br/>
<b>hence </b><a NAME="E5:199_1_1"/>
<font color="Maroon" title="c5">S</font> is <a href="pcs_0.html#V21" title="PCS_0:attr.21">pcs-self-coherent</a>
 ;<br/>


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