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<b>set </b><font color="Maroon">PTA</font> =  <a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font>;<br/>
<b>let </b><font color="Maroon">L1</font> be  <a href="osalg_4.html#V3">monotone</a> <a href="osalg_4.html#NM4">OSCongruence</a> of  <a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font>, <font color="Maroon">L2</font> be  <a href="osalg_4.html#V3">monotone</a> <a href="osalg_4.html#NM4">OSCongruence</a> of  <a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:45_1_2"/><i><font color="Green">E176</font></i>: 
for <font color="Olive">R</font> being <a href="osalg_4.html#V3">monotone</a> <a href="osalg_4.html#NM4">OSCongruence</a> of  <a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font> holds  <font color="Maroon">L1</font> <a href="pboole.html#R2">c=</a> <font color="Olive">R</font>
 <b>and </b><br/><a NAME="E2:45_1_2"/><i><font color="Green">E177</font></i>: 
for <font color="Olive">R</font> being <a href="osalg_4.html#V3">monotone</a> <a href="osalg_4.html#NM4">OSCongruence</a> of  <a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font> holds  <font color="Maroon">L2</font> <a href="pboole.html#R2">c=</a> <font color="Olive">R</font>
 ;<br/>

<a NAME="E3:45_1_2"/>
( <font color="Maroon">L1</font> <a href="pboole.html#R2">c=</a> <font color="Maroon">L2</font> &amp; <font color="Maroon">L2</font> <a href="pboole.html#R2">c=</a> <font color="Maroon">L1</font> )
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E4:45_1_2"/>
<font color="Maroon">L1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">L2</font>
 <b>by </b><i><a class="ref" href="pboole.html#D13">PBOOLE:def 13</a></i>;<br/>


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