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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E22">Def19</font></span>   defines <a href="pralg_1.html#K19" title="PRALG_1:func.19">ComAr</a> <a onclick="hs(this)" href="javascript:()">PRALG_1:def 21 : <br/></a><span> for <font color="Olive" title="b1">J</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">B</font> being  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V2</a>() <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of <font color="Olive" title="b1">J</font><br/>  for <font color="Olive" title="b3">O</font> being   <a href="pralg_1.html#V4" title="PRALG_1:attr.4">equal-arity</a>   <a href="pralg_1.html#M1" title="PRALG_1:mode.1">ManySortedOperation</a> of <font color="Olive" title="b2">B</font><br/>  for <font color="Olive">b<sub>4</sub></font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pralg_1.html#K19" title="PRALG_1:func.19">ComAr</a> <font color="Olive" title="b3">O</font> iff  for <font color="Olive" title="b5">j</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">J</font> holds  <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K18" title="MARGREL1:func.18">arity</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">O</font> <a href="pralg_1.html#K16" title="PRALG_1:func.16">.</a> <font color="Olive" title="b5">j</font></span>)</span> );<br/></span></div>
