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<div><div><a NAME="S1"><span class="kw">scheme  </span><span class="comment"><font color="firebrick">:: AOFA_A00:sch 1</font></span><br/></a><span class="lab"><font color="Green" title="E1">Scheme</font></span>{ <font color="Maroon">F<sub>1</sub></font>() <span class="kw">-&gt; </span>  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> , <font color="Maroon">F<sub>2</sub></font>() <span class="kw">-&gt; </span> <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="Maroon">F<sub>1</sub></font>(), <font color="Maroon">F<sub>3</sub></font>() <span class="kw">-&gt; </span> <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="Maroon">F<sub>1</sub></font>(), <font color="Maroon">F<sub>4</sub></font>(   <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> ,   <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> ,   <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> ) <span class="kw">-&gt; </span>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  } :<br/><div class="add"><a NAME="E2:61"/>
 ex <font color="Olive" title="b1">f</font> being    <a href="aofa_a00.html#M2" title="AOFA_A00:mode.2">ManySortedMSSet</a> of <font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>() st <br/> for <font color="Olive" title="b2">s</font>, <font color="Olive" title="b3">r</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon">F<sub>1</sub></font>()<br/>  for <font color="Olive" title="b4">t</font> being    <a href="msafree4.html#M1" title="MSAFREE4:mode.1">Element</a> of <font color="Maroon">F<sub>2</sub></font>() <a href="msafree4.html#K1" title="MSAFREE4:func.1">.</a> <font color="Olive" title="b2">s</font> holds  <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">f</font> <a href="msafree4.html#K1" title="MSAFREE4:func.1">.</a> <font color="Olive" title="b2">s</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">t</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon">F<sub>4</sub></font>(<font color="Olive" title="b2">s</font>,<font color="Olive" title="b3">r</font>,<font color="Olive" title="b4">t</font>)
 </div><span class="kw">provided</span><div class="add"><a NAME="E1:61"/><span class="lab"><font color="Green" title="E26">A1</font></span>: 
 for <font color="Olive" title="b1">s</font>, <font color="Olive" title="b2">r</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon">F<sub>1</sub></font>()<br/>  for <font color="Olive" title="b3">t</font> being    <a href="msafree4.html#M1" title="MSAFREE4:mode.1">Element</a> of <font color="Maroon">F<sub>2</sub></font>() <a href="msafree4.html#K1" title="MSAFREE4:func.1">.</a> <font color="Olive" title="b1">s</font> holds  <font color="Maroon">F<sub>4</sub></font>(<font color="Olive" title="b1">s</font>,<font color="Olive" title="b2">r</font>,<font color="Olive" title="b3">t</font>) is   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><font color="Maroon">F<sub>3</sub></font>() <a href="msafree4.html#K1" title="MSAFREE4:func.1">.</a> <font color="Olive" title="b2">r</font></span>)</span>
 </div></div></div>
