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<b>let </b><font color="Maroon">Y</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">G</font> be   <a href="subset_1.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="bvfunc_2.html#K1">PARTITIONS</a> <font color="Maroon">Y</font></span>)</span>;<br/>



<b>assume </b><a NAME="E1:17"/><i><font color="Green">E17</font></i>: 
<font color="Maroon">G</font> is <a href="bvfunc_2.html#V2">independent</a>
 ;<br/>

<b>let </b><font color="Maroon">P</font> be   <a href="subset_1.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="bvfunc_2.html#K1">PARTITIONS</a> <font color="Maroon">Y</font></span>)</span>, <font color="Maroon">Q</font> be   <a href="subset_1.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="bvfunc_2.html#K1">PARTITIONS</a> <font color="Maroon">Y</font></span>)</span>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E2:17"/><i><font color="Green">E19</font></i>: 
<font color="Maroon">P</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">G</font>
 <b>and </b><br/><a NAME="E3:17"/><i><font color="Green">E29</font></i>: 
<font color="Maroon">Q</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">G</font>
 ;<br/>

<b>thus </b><a NAME="E4:17"/>
<span class="p1">(<span class="default"><a href="partit1.html#K4">ERl</a> <span class="p2">(<span class="default"><a href="bvfunc_2.html#K2">'/\'</a> <font color="Maroon">P</font></span>)</span></span>)</span> <a href="relset_1.html#K7">*</a> <span class="p1">(<span class="default"><a href="partit1.html#K4">ERl</a> <span class="p2">(<span class="default"><a href="bvfunc_2.html#K2">'/\'</a> <font color="Maroon">Q</font></span>)</span></span>)</span> <a href="partit_2.html#R1" target="_self">c=</a> <span class="p1">(<span class="default"><a href="partit1.html#K4">ERl</a> <span class="p2">(<span class="default"><a href="bvfunc_2.html#K2">'/\'</a> <font color="Maroon">Q</font></span>)</span></span>)</span> <a href="relset_1.html#K7">*</a> <span class="p1">(<span class="default"><a href="partit1.html#K4">ERl</a> <span class="p2">(<span class="default"><a href="bvfunc_2.html#K2">'/\'</a> <font color="Maroon">P</font></span>)</span></span>)</span>
 <b>by </b><i>, , , </i>; <i><font color="Red">:: according to </font></i><a class="ref" href="xboole_0.html#D10">XBOOLE_0:def 10</a><br/>

<b>thus </b><a NAME="E5:17"/>
<span class="p1">(<span class="default"><a href="partit1.html#K4">ERl</a> <span class="p2">(<span class="default"><a href="bvfunc_2.html#K2">'/\'</a> <font color="Maroon">Q</font></span>)</span></span>)</span> <a href="relset_1.html#K7">*</a> <span class="p1">(<span class="default"><a href="partit1.html#K4">ERl</a> <span class="p2">(<span class="default"><a href="bvfunc_2.html#K2">'/\'</a> <font color="Maroon">P</font></span>)</span></span>)</span> <a href="partit_2.html#R1" target="_self">c=</a> <span class="p1">(<span class="default"><a href="partit1.html#K4">ERl</a> <span class="p2">(<span class="default"><a href="bvfunc_2.html#K2">'/\'</a> <font color="Maroon">P</font></span>)</span></span>)</span> <a href="relset_1.html#K7">*</a> <span class="p1">(<span class="default"><a href="partit1.html#K4">ERl</a> <span class="p2">(<span class="default"><a href="bvfunc_2.html#K2">'/\'</a> <font color="Maroon">Q</font></span>)</span></span>)</span>
 <b>by </b><i>, , , </i>;<br/>


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