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<div>:: <span class="kw">deftheorem </span>   defines <a href="osalg_4.html#K12" title="OSALG_4:func.12">OSQuotRes</a> <a onclick="hs(this)" href="javascript:()">OSALG_4:def 16 : <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">A</font> being   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <a href="osalg_1.html#NM5" title="OSALG_1:NM.5">OSAlgebra</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">R</font> being   <a href="osalg_4.html#NM4" title="OSALG_4:NM.4">OSCongruence</a> of <font color="Olive" title="b2">A</font><br/>  for <font color="Olive">b<sub>4</sub></font> being    <a href="pboole.html#M2" title="PBOOLE:mode.2">ManySortedFunction</a> of  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Olive" title="b2">A</font> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a>  the <a href="msualg_1.html#U2" title="MSUALG_1:sel.2">ResultSort</a> of <font color="Olive" title="b1">S</font>,<span class="p1">(<span class="default"><a href="osalg_4.html#K7" title="OSALG_4:func.7">OSClass</a> <font color="Olive" title="b3">R</font></span>)</span> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a>  the <a href="msualg_1.html#U2" title="MSUALG_1:sel.2">ResultSort</a> of <font color="Olive" title="b1">S</font> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="osalg_4.html#K12" title="OSALG_4:func.12">OSQuotRes</a> <font color="Olive" title="b3">R</font> iff  for <font color="Olive" title="b5">o</font> being   <a href="osalg_1.html#NM2" title="OSALG_1:NM.2">OperSymbol</a> of <font color="Olive" title="b1">S</font> holds  <font color="Olive">b<sub>4</sub></font> <a href="msualg_4.html#K5" title="MSUALG_4:func.5">.</a> <font color="Olive" title="b5">o</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="osalg_4.html#K10" title="OSALG_4:func.10">OSQuotRes</a> (<font color="Olive" title="b3">R</font>,<font color="Olive" title="b5">o</font>) );<br/></span></div>
