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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_2.html#NM1" title="MODELC_2:NM.1">LTL-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_2.html#L1" title="MODELC_2:struct.1">LTLModelStr</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_2.html#K15" title="MODELC_2:func.15">atomic_LTL</a> ,the <a href="modelc_2.html#U2" title="MODELC_2:sel.2">BasicAssign</a> of <font color="Olive" title="b1">V</font> holds   <a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K7" title="MODELC_2:func.7">'U'</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_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <font color="Maroon" title="c1">H1</font>,<font color="Olive" title="b2">Kai</font></span>)</span> <a href="modelc_2.html#K25" title="MODELC_2:func.25">'U'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K20" title="MODELC_2:func.20">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_2.html#L1" title="MODELC_2:struct.1">LTLModelStr</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_2.html#K15" title="MODELC_2:func.15">atomic_LTL</a> ,the <a href="modelc_2.html#U2" title="MODELC_2:sel.2">BasicAssign</a> of <font color="Maroon" title="c3">V</font> holds   <a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K7" title="MODELC_2:func.7">'U'</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_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <font color="Maroon" title="c1">H1</font>,<font color="Olive" title="b1">Kai</font></span>)</span> <a href="modelc_2.html#K25" title="MODELC_2:func.25">'U'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K20" title="MODELC_2:func.20">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_2.html#K15" title="MODELC_2:func.15">atomic_LTL</a> ,the <a href="modelc_2.html#U2" title="MODELC_2:sel.2">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_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K7" title="MODELC_2:func.7">'U'</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_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <font color="Maroon" title="c1">H1</font>,<font color="Maroon" title="c4">Kai</font></span>)</span> <a href="modelc_2.html#K25" title="MODELC_2:func.25">'U'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K20" title="MODELC_2:func.20">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_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a> ,the <a href="modelc_2.html#U1" title="MODELC_2:sel.1">Assignations</a> of <font color="Maroon" title="c3">V</font><span class="kw"> such that </span><br/><a NAME="E2:115"/><span class="lab"><font color="Green" title="E93">A1</font></span>: 
<font color="Maroon" title="c5">f0</font> <a href="modelc_2.html#R4" title="MODELC_2:pred.4">is-Evaluation-for</a> <font color="Maroon" title="c4">Kai</font>
 <span class="kw">and </span><br/><a NAME="E3:115"/><span class="lab"><font color="Green" title="E94">A2</font></span>: 
 <a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K7" title="MODELC_2:func.7">'U'</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_2.html#K7" title="MODELC_2:func.7">'U'</a> <font color="Maroon" title="c2">H2</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_2.html#D33" target="_self" title="MODELC_2:def.33">Def33</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_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a> ,the <a href="modelc_2.html#U1" title="MODELC_2:sel.1">Assignations</a> of <font color="Maroon" title="c3">V</font><span class="kw"> such that </span><br/><a NAME="E5:115"/><span class="lab"><font color="Green" title="E95">A3</font></span>: 
<font color="Maroon" title="c6">f1</font> <a href="modelc_2.html#R4" title="MODELC_2:pred.4">is-Evaluation-for</a> <font color="Maroon" title="c4">Kai</font>
 <span class="kw">and </span><br/><a NAME="E6:115"/><span class="lab"><font color="Green" title="E96">A4</font></span>: 
 <a href="modelc_2.html#K20" title="MODELC_2:func.20">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_2.html#D33" target="_self" title="MODELC_2:def.33">Def33</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_2.html#K9" title="MODELC_2:func.9">LTL_WFF</a> ,the <a href="modelc_2.html#U1" title="MODELC_2:sel.1">Assignations</a> of <font color="Maroon" title="c3">V</font><span class="kw"> such that </span><br/><a NAME="E8:115"/><span class="lab"><font color="Green" title="E97">A5</font></span>: 
<font color="Maroon" title="c7">f2</font> <a href="modelc_2.html#R4" title="MODELC_2:pred.4">is-Evaluation-for</a> <font color="Maroon" title="c4">Kai</font>
 <span class="kw">and </span><br/><a NAME="E9:115"/><span class="lab"><font color="Green" title="E98">A6</font></span>: 
 <a href="modelc_2.html#K20" title="MODELC_2:func.20">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_2.html#D33" target="_self" title="MODELC_2:def.33">Def33</a></span>;<br/>
<a NAME="E10:115"/><span class="lab"><font color="Green" title="E99">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="#E2:115"><span class="lab"><font color="Green" title="E93">A1</font></span></a>, <a class="txt" href="#E8:115"><span class="lab"><font color="Green" title="E97">A5</font></span></a>, <a class="ref" href="modelc_2.html#T49" target="_self" title="MODELC_2:th.49">Th49</a></span>;<br/>
<a NAME="E11:115"/><span class="lab"><font color="Green" title="E100">A8</font></span>: 
<font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K7" title="MODELC_2:func.7">'U'</a> <font color="Maroon" title="c2">H2</font> is  <a href="modelc_2.html#V7" title="MODELC_2:attr.7">Until</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_2.html#D16" target="_self" title="MODELC_2:def.16">Def16</a></span>;<br/>
<a NAME="E12:115"/><span class="kw">then </span><span class="lab"><font color="Green" title="E101">A9</font></span>: 
(  <a href="modelc_2.html#K11" title="MODELC_2:func.11">the_left_argument_of</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K7" title="MODELC_2:func.7">'U'</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> &amp;  <a href="modelc_2.html#K12" title="MODELC_2:func.12">the_right_argument_of</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K7" title="MODELC_2:func.7">'U'</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="ref" href="modelc_2.html#D19" target="_self" title="MODELC_2:def.19">Def19</a>, <a class="ref" href="modelc_2.html#D20" target="_self" title="MODELC_2:def.20">Def20</a></span>;<br/>
<a NAME="E13:115"/>
<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="#E2:115"><span class="lab"><font color="Green" title="E93">A1</font></span></a>, <a class="txt" href="#E5:115"><span class="lab"><font color="Green" title="E95">A3</font></span></a>, <a class="ref" href="modelc_2.html#T49" target="_self" title="MODELC_2:th.49">Th49</a></span>;<br/>
<span class="kw">hence </span><a NAME="E14:115"/>
 <a href="modelc_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K7" title="MODELC_2:func.7">'U'</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_2.html#K20" title="MODELC_2:func.20">Evaluate</a> <font color="Maroon" title="c1">H1</font>,<font color="Maroon" title="c4">Kai</font></span>)</span> <a href="modelc_2.html#K25" title="MODELC_2:func.25">'U'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K20" title="MODELC_2:func.20">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="#E2:115"><span class="lab"><font color="Green" title="E93">A1</font></span></a>, <a class="txt" href="#E3:115"><span class="lab"><font color="Green" title="E94">A2</font></span></a>, <a class="txt" href="#E6:115"><span class="lab"><font color="Green" title="E96">A4</font></span></a>, <a class="txt" href="#E9:115"><span class="lab"><font color="Green" title="E98">A6</font></span></a>, <a class="txt" href="#E10:115"><span class="lab"><font color="Green" title="E99">A7</font></span></a>, <a class="txt" href="#E11:115"><span class="lab"><font color="Green" title="E100">A8</font></span></a>, <a class="txt" href="#E12:115"><span class="lab"><font color="Green" title="E101">A9</font></span></a>, <a class="ref" href="modelc_2.html#D27" target="_self" title="MODELC_2:def.27">Def27</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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