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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">PA</font> be    <a href="eqrel_1.html#M1">a_partition</a> of <font color="Maroon">Y</font>, <font color="Maroon">PB</font> be    <a href="eqrel_1.html#M1">a_partition</a> of <font color="Maroon">Y</font>, <font color="Maroon">PC</font> be    <a href="eqrel_1.html#M1">a_partition</a> of <font color="Maroon">Y</font>;<br/>



 <a href="partit1.html#K4" target="_self">ERl</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">PA</font> <a href="partit1.html#K3" target="_self">'\/'</a> <font color="Maroon">PB</font></span>)</span> <a href="partit1.html#K3" target="_self">'\/'</a> <font color="Maroon">PC</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="partit1.html#K4" target="_self">ERl</a> <span class="p2">(<span class="default"><font color="Maroon">PA</font> <a href="partit1.html#K3" target="_self">'\/'</a> <font color="Maroon">PB</font></span>)</span></span>)</span> <a href="eqrel_1.html#K5">"\/"</a> <span class="p1">(<span class="default"><a href="partit1.html#K4" target="_self">ERl</a> <font color="Maroon">PC</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="partit1.html#K4" target="_self">ERl</a> <font color="Maroon">PA</font></span>)</span> <a href="eqrel_1.html#K5">"\/"</a> <span class="p2">(<span class="default"><a href="partit1.html#K4" target="_self">ERl</a> <font color="Maroon">PB</font></span>)</span></span>)</span> <a href="eqrel_1.html#K5">"\/"</a> <span class="p1">(<span class="default"><a href="partit1.html#K4" target="_self">ERl</a> <font color="Maroon">PC</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><a href="partit1.html#K4" target="_self">ERl</a> <font color="Maroon">PA</font></span>)</span> <a href="eqrel_1.html#K5">"\/"</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="partit1.html#K4" target="_self">ERl</a> <font color="Maroon">PB</font></span>)</span> <a href="eqrel_1.html#K5">"\/"</a> <span class="p2">(<span class="default"><a href="partit1.html#K4" target="_self">ERl</a> <font color="Maroon">PC</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="msualg_5.html#T1">MSUALG_5:1</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="partit1.html#K4" target="_self">ERl</a> <font color="Maroon">PA</font></span>)</span> <a href="eqrel_1.html#K5">"\/"</a> <span class="p1">(<span class="default"><a href="partit1.html#K4" target="_self">ERl</a> <span class="p2">(<span class="default"><font color="Maroon">PB</font> <a href="partit1.html#K3" target="_self">'\/'</a> <font color="Maroon">PC</font></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="partit1.html#K4" target="_self">ERl</a> <span class="p1">(<span class="default"><font color="Maroon">PA</font> <a href="partit1.html#K3" target="_self">'\/'</a> <span class="p2">(<span class="default"><font color="Maroon">PB</font> <a href="partit1.html#K3" target="_self">'\/'</a> <font color="Maroon">PC</font></span>)</span></span>)</span>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E2:36"/>
<span class="p1">(<span class="default"><font color="Maroon">PA</font> <a href="partit1.html#K3" target="_self">'\/'</a> <font color="Maroon">PB</font></span>)</span> <a href="partit1.html#K3" target="_self">'\/'</a> <font color="Maroon">PC</font> <a href="hidden.html#R1">=</a> <font color="Maroon">PA</font> <a href="partit1.html#K3" target="_self">'\/'</a> <span class="p1">(<span class="default"><font color="Maroon">PB</font> <a href="partit1.html#K3" target="_self">'\/'</a> <font color="Maroon">PC</font></span>)</span>
 <b>by </b><i/>;<br/>


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