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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E17">Def7</font></span>   defines <a href="aofa_a00.html#M2" title="AOFA_A00:mode.2">ManySortedMSSet</a> <a onclick="hs(this)" href="javascript:()">AOFA_A00:def 7 : <br/></a><span> for <font color="Olive" title="b1">I</font>, <font color="Olive" title="b2">J</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">S1</font> being   <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of <font color="Olive" title="b1">I</font><br/>  for <font color="Olive" title="b4">S2</font> being   <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of <font color="Olive" title="b2">J</font><br/>  for <font color="Olive">b<sub>5</sub></font> being    <a href="aofa_a00.html#M1" title="AOFA_A00:mode.1">ManySortedMSSet</a> of <font color="Olive" title="b3">S1</font>,<font color="Olive" title="b2">J</font> holds <br/> ( <font color="Olive">b<sub>5</sub></font> is    <a href="aofa_a00.html#M2" title="AOFA_A00:mode.2">ManySortedMSSet</a> of <font color="Olive" title="b3">S1</font>,<font color="Olive" title="b4">S2</font> iff  for <font color="Olive" title="b6">i</font>, <font color="Olive" title="b7">a</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b6">i</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">I</font> &amp; <font color="Olive" title="b7">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">S1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b6">i</font> holds <br/><span class="p1">(<span class="default"><font color="Olive">b<sub>5</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b6">i</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b7">a</font> is    <a href="pboole.html#M3" title="PBOOLE:mode.3">ManySortedSubset</a> of <font color="Olive" title="b4">S2</font> );<br/></span></div>
