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<b>let </b><font color="Maroon">S</font> be  <a href="osalg_1.html#V8">monotone</a> <a href="osalg_1.html#V10">regular</a> <a href="osalg_4.html#V2">locally_directed</a> <a href="osalg_1.html#NM3">OrderSortedSign</a>;<br/><b>let </b><font color="Maroon">X</font> be  <a href="relat_1.html#V2">V5</a> <a href="struct_0.html#NM8">ManySortedSet</a> of <font color="Maroon">S</font>;<br/>



<a NAME="E1:92"/>
(  <a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font> <a href="pboole.html#R2">c=</a>  <a href="osafree.html#K20" target="_self">PTCongruence</a> <font color="Maroon">X</font> &amp;  <a href="osafree.html#K20" target="_self">PTCongruence</a> <font color="Maroon">X</font> <a href="pboole.html#R2">c=</a>  <a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font> )
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E2:92"/>
 <a href="osafree.html#K15" target="_self">LCongruence</a> <font color="Maroon">X</font> <a href="pboole.html#R6">=</a>  <a href="osafree.html#K20" target="_self">PTCongruence</a> <font color="Maroon">X</font>
 <b>by </b><i><a class="ref" href="pboole.html#D13">PBOOLE:def 13</a></i>;<br/>


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