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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E20">Def19</font></span>   defines <a href="fomodel2.html#K21" title="FOMODEL2:func.21">-TruthEval</a> <a onclick="hs(this)" href="javascript:()">FOMODEL2:def 20 : <br/></a><span> for <font color="Olive" title="b1">S</font> being   <a href="fomodel1.html#NM2" title="FOMODEL1:NM.2">Language</a><br/>  for <font color="Olive" title="b2">U</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">b<sub>3</sub></font> being   <a href="nat_1.html#NM1" title="NAT_1:NM.1">sequence</a> of <span class="p1">(<span class="default"><a href="rfunct_3.html#K3" title="RFUNCT_3:func.3">PFuncs</a> (<span class="p2"><a href="mcart_1.html#K8" title="MCART_1:func.8">[:</a><span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b2">U</font> <a href="fomodel2.html#K15" title="FOMODEL2:func.15">-InterpretersOf</a> <font color="Olive" title="b1">S</font></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="fomodel1.html#K1" title="FOMODEL1:func.1">AllSymbolsOf</a> <font color="Olive" title="b1">S</font></span>)</span> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a></span>)</span> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p4"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span></span>)</span></span><a href="mcart_1.html#K8" title="MCART_1:func.8">:]</a></span>,<a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a>)</span>)</span> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<font color="Olive" title="b1">S</font>,<font color="Olive" title="b2">U</font>) <a href="fomodel2.html#K21" title="FOMODEL2:func.21">-TruthEval</a>  iff ( <font color="Olive">b<sub>3</sub></font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">S</font> <a href="fomodel2.html#K16" title="FOMODEL2:func.16">-TruthEval</a> <font color="Olive" title="b2">U</font> &amp; (  for <font color="Olive" title="b4">mm</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  holds  <font color="Olive">b<sub>3</sub></font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">mm</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="fomodel2.html#K18" title="FOMODEL2:func.18">ExIterator</a> <span class="p3">(<span class="default"><font color="Olive">b<sub>3</sub></font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b4">mm</font></span>)</span></span>)</span> <a href="funct_4.html#K9" title="FUNCT_4:func.9">+*</a> <span class="p2">(<span class="default"><a href="fomodel2.html#K20" title="FOMODEL2:func.20">NorIterator</a> <span class="p3">(<span class="default"><font color="Olive">b<sub>3</sub></font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b4">mm</font></span>)</span></span>)</span></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>3</sub></font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b4">mm</font></span>)</span> ) ) );<br/></span></div>
