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<span class="kw">let </span><font color="Maroon" title="c1">H1</font>, <font color="Maroon" title="c2">H2</font> be   <a href="modelc_1.html#NM1" title="MODELC_1:NM.1">CTL-formula</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">V</font> being   <a href="modelc_1.html#L2" title="MODELC_1:struct.2">CTLModelStr</a> <br/> for <font color="Olive" title="b2">Kai</font> being  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <a href="modelc_1.html#K19" title="MODELC_1:func.19">atomic_WFF</a> ,the <a href="modelc_1.html#U6" title="MODELC_1:sel.6">BasicAssign</a> of <font color="Olive" title="b1">V</font> holds   <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font></span>)</span>,<font color="Olive" title="b2">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c1">H1</font>,<font color="Olive" title="b2">Kai</font></span>)</span> <a href="modelc_1.html#K29" title="MODELC_1:func.29">EU</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c2">H2</font>,<font color="Olive" title="b2">Kai</font></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c3">V</font> be    <a href="modelc_1.html#L2" title="MODELC_1:struct.2">CTLModelStr</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">Kai</font> being  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <a href="modelc_1.html#K19" title="MODELC_1:func.19">atomic_WFF</a> ,the <a href="modelc_1.html#U6" title="MODELC_1:sel.6">BasicAssign</a> of <font color="Maroon" title="c3">V</font> holds   <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font></span>)</span>,<font color="Olive" title="b1">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c1">H1</font>,<font color="Olive" title="b1">Kai</font></span>)</span> <a href="modelc_1.html#K29" title="MODELC_1:func.29">EU</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c2">H2</font>,<font color="Olive" title="b1">Kai</font></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c4">Kai</font> be   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <a href="modelc_1.html#K19" title="MODELC_1:func.19">atomic_WFF</a> ,the <a href="modelc_1.html#U6" title="MODELC_1:sel.6">BasicAssign</a> of <font color="Maroon" title="c3">V</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font></span>)</span>,<font color="Maroon" title="c4">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c1">H1</font>,<font color="Maroon" title="c4">Kai</font></span>)</span> <a href="modelc_1.html#K29" title="MODELC_1:func.29">EU</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c2">H2</font>,<font color="Maroon" title="c4">Kai</font></span>)</span></span><br/>







<span class="kw">consider </span><font color="Maroon" title="c5">f0</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <a href="modelc_1.html#K13" title="MODELC_1:func.13">CTL_WFF</a> ,the <a href="modelc_1.html#U5" title="MODELC_1:sel.5">Assignations</a> of <font color="Maroon" title="c3">V</font><span class="kw"> such that </span><br/><a NAME="E2:74"/><span class="lab"><font color="Green" title="E63">A1</font></span>: 
<font color="Maroon" title="c5">f0</font> <a href="modelc_1.html#R1" title="MODELC_1:pred.1">is-Evaluation-for</a> <font color="Maroon" title="c4">Kai</font>
 <span class="kw">and </span><br/><a NAME="E3:74"/><span class="lab"><font color="Green" title="E64">A2</font></span>: 
 <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font></span>)</span>,<font color="Maroon" title="c4">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">f0</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_1.html#D32" target="_self" title="MODELC_1:def.32">Def32</a></span>;<br/>
<span class="kw">consider </span><font color="Maroon" title="c6">f1</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <a href="modelc_1.html#K13" title="MODELC_1:func.13">CTL_WFF</a> ,the <a href="modelc_1.html#U5" title="MODELC_1:sel.5">Assignations</a> of <font color="Maroon" title="c3">V</font><span class="kw"> such that </span><br/><a NAME="E5:74"/><span class="lab"><font color="Green" title="E65">A3</font></span>: 
<font color="Maroon" title="c6">f1</font> <a href="modelc_1.html#R1" title="MODELC_1:pred.1">is-Evaluation-for</a> <font color="Maroon" title="c4">Kai</font>
 <span class="kw">and </span><br/><a NAME="E6:74"/><span class="lab"><font color="Green" title="E66">A4</font></span>: 
 <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c1">H1</font>,<font color="Maroon" title="c4">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">f1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">H1</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_1.html#D32" target="_self" title="MODELC_1:def.32">Def32</a></span>;<br/>
<span class="kw">consider </span><font color="Maroon" title="c7">f2</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <a href="modelc_1.html#K13" title="MODELC_1:func.13">CTL_WFF</a> ,the <a href="modelc_1.html#U5" title="MODELC_1:sel.5">Assignations</a> of <font color="Maroon" title="c3">V</font><span class="kw"> such that </span><br/><a NAME="E8:74"/><span class="lab"><font color="Green" title="E67">A5</font></span>: 
<font color="Maroon" title="c7">f2</font> <a href="modelc_1.html#R1" title="MODELC_1:pred.1">is-Evaluation-for</a> <font color="Maroon" title="c4">Kai</font>
 <span class="kw">and </span><br/><a NAME="E9:74"/><span class="lab"><font color="Green" title="E68">A6</font></span>: 
 <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c2">H2</font>,<font color="Maroon" title="c4">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">f2</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">H2</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_1.html#D32" target="_self" title="MODELC_1:def.32">Def32</a></span>;<br/>
<a NAME="E10:74"/><span class="lab"><font color="Green" title="E69">A7</font></span>: 
<font color="Maroon" title="c5">f0</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c7">f2</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:74"><span class="lab"><font color="Green" title="E63">A1</font></span></a>, <a class="txt" href="#E8:74"><span class="lab"><font color="Green" title="E67">A5</font></span></a>, <a class="ref" href="modelc_1.html#T4" target="_self" title="MODELC_1:th.4">Th4</a></span>;<br/>
<a NAME="E11:74"/><span class="lab"><font color="Green" title="E70">A8</font></span>: 
<font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font> is  <a href="modelc_1.html#V7" title="MODELC_1:attr.7">ExistUntill</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_1.html#D19" target="_self" title="MODELC_1:def.19">Def19</a></span>;<br/>
<a NAME="E12:74"/><span class="kw">then </span>
<span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="modelc_1.html#E29"><span class="lab"><font color="Green" title="E22">Lm7</font></span></a></span>;<br/>
<a NAME="E13:74"/><span class="kw">then </span><span class="lab"><font color="Green" title="E71">A9</font></span>: 
not <font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font> is  <a href="modelc_1.html#V4" title="MODELC_1:attr.4">conjunctive</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="modelc_1.html#E26"><span class="lab"><font color="Green" title="E19">Lm4</font></span></a></span>;<br/>
<a NAME="E14:74"/><span class="kw">then </span><span class="lab"><font color="Green" title="E72">A10</font></span>: 
 <a href="modelc_1.html#K16" title="MODELC_1:func.16">the_left_argument_of</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">H1</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E11:74"><span class="lab"><font color="Green" title="E70">A8</font></span></a>, <a class="ref" href="modelc_1.html#D22" target="_self" title="MODELC_1:def.22">Def22</a></span>;<br/>
<a NAME="E15:74"/><span class="lab"><font color="Green" title="E73">A11</font></span>: 
 <a href="modelc_1.html#K17" title="MODELC_1:func.17">the_right_argument_of</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">H2</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E11:74"><span class="lab"><font color="Green" title="E70">A8</font></span></a>, <a class="txt" href="#E13:74"><span class="lab"><font color="Green" title="E71">A9</font></span></a>, <a class="ref" href="modelc_1.html#D23" target="_self" title="MODELC_1:def.23">Def23</a></span>;<br/>
<a NAME="E16:74"/>
<font color="Maroon" title="c5">f0</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c6">f1</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:74"><span class="lab"><font color="Green" title="E63">A1</font></span></a>, <a class="txt" href="#E5:74"><span class="lab"><font color="Green" title="E65">A3</font></span></a>, <a class="ref" href="modelc_1.html#T4" target="_self" title="MODELC_1:th.4">Th4</a></span>;<br/>
<span class="kw">hence </span><a NAME="E17:74"/>
 <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_1.html#K12" title="MODELC_1:func.12">EU</a> <font color="Maroon" title="c2">H2</font></span>)</span>,<font color="Maroon" title="c4">Kai</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c1">H1</font>,<font color="Maroon" title="c4">Kai</font></span>)</span> <a href="modelc_1.html#K29" title="MODELC_1:func.29">EU</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c2">H2</font>,<font color="Maroon" title="c4">Kai</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:74"><span class="lab"><font color="Green" title="E63">A1</font></span></a>, <a class="txt" href="#E3:74"><span class="lab"><font color="Green" title="E64">A2</font></span></a>, <a class="txt" href="#E6:74"><span class="lab"><font color="Green" title="E66">A4</font></span></a>, <a class="txt" href="#E9:74"><span class="lab"><font color="Green" title="E68">A6</font></span></a>, <a class="txt" href="#E10:74"><span class="lab"><font color="Green" title="E69">A7</font></span></a>, <a class="txt" href="#E11:74"><span class="lab"><font color="Green" title="E70">A8</font></span></a>, <a class="txt" href="#E14:74"><span class="lab"><font color="Green" title="E72">A10</font></span></a>, <a class="txt" href="#E15:74"><span class="lab"><font color="Green" title="E73">A11</font></span></a>, <a class="ref" href="modelc_1.html#D26" target="_self" title="MODELC_1:def.26">Def26</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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