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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E27">Def17</font></span>   defines <a href="osafree.html#K15" title="OSAFREE:func.15">LCongruence</a> <a onclick="hs(this)" href="javascript:()">OSAFREE:def 17 : <br/></a><span> for <font color="Olive" title="b1">S</font> being   <a href="osalg_4.html#V2" title="OSALG_4:attr.2">locally_directed</a>  <a href="osalg_1.html#NM3" title="OSALG_1:NM.3">OrderSortedSign</a><br/>  for <font color="Olive" title="b2">X</font> being  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V2</a>() <a href="struct_0.html#NM8" title="STRUCT_0:NM.8">ManySortedSet</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="osalg_4.html#V3" title="OSALG_4:attr.3">monotone</a>  <a href="osalg_4.html#NM4" title="OSALG_4:NM.4">OSCongruence</a> of  <a href="osafree.html#K8" title="OSAFREE:func.8">ParsedTermsOSA</a> <font color="Olive" title="b2">X</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="osafree.html#K15" title="OSAFREE:func.15">LCongruence</a> <font color="Olive" title="b2">X</font> iff  for <font color="Olive" title="b4">R</font> being   <a href="osalg_4.html#V3" title="OSALG_4:attr.3">monotone</a>  <a href="osalg_4.html#NM4" title="OSALG_4:NM.4">OSCongruence</a> of  <a href="osafree.html#K8" title="OSAFREE:func.8">ParsedTermsOSA</a> <font color="Olive" title="b2">X</font> holds  <font color="Olive">b<sub>3</sub></font> <a href="pboole.html#R2" title="PBOOLE:pred.2">c=</a> <font color="Olive" title="b4">R</font> );<br/></span></div>
