<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E12">Def10</font></span>   defines <a href="osafree.html#K7" title="OSAFREE:func.7">PTOper</a> <a onclick="hs(this)" href="javascript:()">OSAFREE:def 10 : <br/></a><span> for <font color="Olive" title="b1">S</font> being   <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="pboole.html#M2" title="PBOOLE:mode.2">ManySortedFunction</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="osafree.html#K5" title="OSAFREE:func.5">ParsedTerms</a> <font color="Olive" title="b2">X</font></span>)</span> <a href="finseq_2.html#K6" title="FINSEQ_2:func.6">#</a></span>)</span> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a>  the <a href="msualg_1.html#U1" title="MSUALG_1:sel.1">Arity</a> of <font color="Olive" title="b1">S</font>,<span class="p1">(<span class="default"><a href="osafree.html#K5" title="OSAFREE:func.5">ParsedTerms</a> <font color="Olive" title="b2">X</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>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="osafree.html#K7" title="OSAFREE:func.7">PTOper</a> <font color="Olive" title="b2">X</font> iff  for <font color="Olive" title="b4">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>3</sub></font> <a href="msualg_4.html#K5" title="MSUALG_4:func.5">.</a> <font color="Olive" title="b4">o</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="osafree.html#K6" title="OSAFREE:func.6">PTDenOp</a> (<font color="Olive" title="b4">o</font>,<font color="Olive" title="b2">X</font>) );<br/></span></div>
