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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E22">Def12</font></span>   defines <a href="mmlquer2.html#K11" title="MMLQUER2:func.11">value_of</a> <a onclick="hs(this)" href="javascript:()">MMLQUER2:def 12 : <br/></a><span> for <font color="Olive" title="b1">X</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">O</font> being   <a href="mmlquery.html#NM2" title="MMLQUERY:NM.2">Operation</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">R</font> being   <a href="relat_2.html#V6" title="RELAT_2:attr.6">connected</a>  <a href="orders_1.html#NM4" title="ORDERS_1:NM.4">Order</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive">b<sub>4</sub></font> being   <a href="relset_1.html#NM2" title="RELSET_1:NM.2">Relation</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="mmlquer2.html#K11" title="MMLQUER2:func.11">value_of</a> (<font color="Olive" title="b2">O</font>,<font color="Olive" title="b3">R</font>) iff  for <font color="Olive" title="b5">x</font>, <font color="Olive" title="b6">y</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b5">x</font>,<font color="Olive" title="b6">y</font> <a href="mmlquery.html#R1" title="MMLQUERY:pred.1">in</a> <font color="Olive">b<sub>4</sub></font> iff ( <font color="Olive" title="b5">x</font> <a href="mmlquery.html#K1" title="MMLQUERY:func.1">.</a> <font color="Olive" title="b2">O</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; ( <font color="Olive" title="b6">y</font> <a href="mmlquery.html#K1" title="MMLQUERY:func.1">.</a> <font color="Olive" title="b2">O</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  or ( <font color="Olive" title="b6">y</font> <a href="mmlquery.html#K1" title="MMLQUERY:func.1">.</a> <font color="Olive" title="b2">O</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <span class="p1">(<span class="default"><a href="mmlquer2.html#K10" title="MMLQUER2:func.10">order</a> (<span class="p2">(<span class="default"><font color="Olive" title="b5">x</font> <a href="mmlquery.html#K1" title="MMLQUERY:func.1">.</a> <font color="Olive" title="b2">O</font></span>)</span>,<font color="Olive" title="b3">R</font>)</span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<span class="p1">(<span class="default"><a href="mmlquer2.html#K10" title="MMLQUER2:func.10">order</a> (<span class="p2">(<span class="default"><font color="Olive" title="b6">y</font> <a href="mmlquery.html#K1" title="MMLQUERY:func.1">.</a> <font color="Olive" title="b2">O</font></span>)</span>,<font color="Olive" title="b3">R</font>)</span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="mmlquery.html#R1" title="MMLQUERY:pred.1">in</a> <font color="Olive" title="b3">R</font> &amp; <span class="p1">(<span class="default"><a href="mmlquer2.html#K10" title="MMLQUER2:func.10">order</a> (<span class="p2">(<span class="default"><font color="Olive" title="b5">x</font> <a href="mmlquery.html#K1" title="MMLQUERY:func.1">.</a> <font color="Olive" title="b2">O</font></span>)</span>,<font color="Olive" title="b3">R</font>)</span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1">(<span class="default"><a href="mmlquer2.html#K10" title="MMLQUER2:func.10">order</a> (<span class="p2">(<span class="default"><font color="Olive" title="b6">y</font> <a href="mmlquery.html#K1" title="MMLQUERY:func.1">.</a> <font color="Olive" title="b2">O</font></span>)</span>,<font color="Olive" title="b3">R</font>)</span>)</span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> ) ) ) ) );<br/></span></div>
