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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" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">V</font> being   <a href="modelc_2.html#NM3" title="MODELC_2:NM.3">LTLModel</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#U1" title="MODELC_2:sel.1">BasicAssign</a> of <font color="Olive" title="b1">V</font> holds   <a href="modelc_2.html#K21" title="MODELC_2:func.21">Evaluate</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K8" title="MODELC_2:func.8">'R'</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#K21" title="MODELC_2:func.21">Evaluate</a> (<font color="Maroon" title="c1">H1</font>,<font color="Olive" title="b2">Kai</font>)</span>)</span> <a href="modelc_2.html#K24" title="MODELC_2:func.24">'R'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K21" title="MODELC_2:func.21">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#NM3" title="MODELC_2:NM.3">LTLModel</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  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#U1" title="MODELC_2:sel.1">BasicAssign</a> of <font color="Maroon" title="c3">V</font> holds   <a href="modelc_2.html#K21" title="MODELC_2:func.21">Evaluate</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K8" title="MODELC_2:func.8">'R'</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#K21" title="MODELC_2:func.21">Evaluate</a> (<font color="Maroon" title="c1">H1</font>,<font color="Olive" title="b1">Kai</font>)</span>)</span> <a href="modelc_2.html#K24" title="MODELC_2:func.24">'R'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K21" title="MODELC_2:func.21">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#U1" title="MODELC_2:sel.1">BasicAssign</a> of <font color="Maroon" title="c3">V</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="modelc_2.html#K21" title="MODELC_2:func.21">Evaluate</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K8" title="MODELC_2:func.8">'R'</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#K21" title="MODELC_2:func.21">Evaluate</a> (<font color="Maroon" title="c1">H1</font>,<font color="Maroon" title="c4">Kai</font>)</span>)</span> <a href="modelc_2.html#K24" title="MODELC_2:func.24">'R'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K21" title="MODELC_2:func.21">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="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c3">V</font><span class="kw"> such that </span><br/><a NAME="E2:117"/><span class="lab"><font color="Green" title="E81">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="E3:117"/><span class="lab"><font color="Green" title="E82">A2</font></span>: 
 <a href="modelc_2.html#K21" title="MODELC_2:func.21">Evaluate</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K8" title="MODELC_2:func.8">'R'</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#K8" title="MODELC_2:func.8">'R'</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#D35" target="_self" onmouseover="rs('modelc_2/D35')" onmouseout="rh()">Def35</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="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c3">V</font><span class="kw"> such that </span><br/><a NAME="E5:117"/><span class="lab"><font color="Green" title="E83">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="E6:117"/><span class="lab"><font color="Green" title="E84">A4</font></span>: 
 <a href="modelc_2.html#K21" title="MODELC_2:func.21">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#D35" target="_self" onmouseover="rs('modelc_2/D35')" onmouseout="rh()">Def35</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="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c3">V</font><span class="kw"> such that </span><br/><a NAME="E8:117"/><span class="lab"><font color="Green" title="E85">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="E9:117"/><span class="lab"><font color="Green" title="E86">A6</font></span>: 
 <a href="modelc_2.html#K21" title="MODELC_2:func.21">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#D35" target="_self" onmouseover="rs('modelc_2/D35')" onmouseout="rh()">Def35</a></span>;<br/>
<a NAME="E10:117"/><span class="lab"><font color="Green" title="E87">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="#E2:117"><span class="lab"><font color="Green" title="E81">A1</font></span></a>, <a class="txt" href="#E8:117"><span class="lab"><font color="Green" title="E85">A5</font></span></a>, <a class="ref" href="modelc_2.html#T49" target="_self" onmouseover="rs('modelc_2/T49')" onmouseout="rh()">Th49</a></span>;<br/>
<a NAME="E11:117"/><span class="lab"><font color="Green" title="E88">A8</font></span>: 
<font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K8" title="MODELC_2:func.8">'R'</a> <font color="Maroon" title="c2">H2</font> is  <a href="modelc_2.html#V8" title="MODELC_2:attr.8">Release</a> 
 
;<br/>
<a NAME="E12:117"/><span class="kw">then </span><span class="lab"><font color="Green" title="E89">A9</font></span>: 
 not <font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K8" title="MODELC_2:func.8">'R'</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="txt" href="modelc_2.html#E41"><span class="lab"><font color="Green" title="E27">Lm21</font></span></a></span>;<br/>
<a NAME="E13:117"/>
(  not <font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K8" title="MODELC_2:func.8">'R'</a> <font color="Maroon" title="c2">H2</font> is  <a href="modelc_2.html#V4" title="MODELC_2:attr.4">conjunctive</a>  &amp;  not <font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K8" title="MODELC_2:func.8">'R'</a> <font color="Maroon" title="c2">H2</font> is  <a href="modelc_2.html#V5" title="MODELC_2:attr.5">disjunctive</a>  )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E11:117"><span class="lab"><font color="Green" title="E88">A8</font></span></a>, <a class="txt" href="modelc_2.html#E41"><span class="lab"><font color="Green" title="E27">Lm21</font></span></a></span>;<br/>
<a NAME="E14:117"/><span class="kw">then </span><span class="lab"><font color="Green" title="E90">A10</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#K8" title="MODELC_2:func.8">'R'</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#K8" title="MODELC_2:func.8">'R'</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="#E11:117"><span class="lab"><font color="Green" title="E88">A8</font></span></a>, <a class="txt" href="#E12:117"><span class="lab"><font color="Green" title="E89">A9</font></span></a>, <a class="ref" href="modelc_2.html#D19" target="_self" onmouseover="rs('modelc_2/D19')" onmouseout="rh()">Def19</a>, <a class="ref" href="modelc_2.html#D20" target="_self" onmouseover="rs('modelc_2/D20')" onmouseout="rh()">Def20</a></span>;<br/>
<a NAME="E15:117"/>
<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="#E2:117"><span class="lab"><font color="Green" title="E81">A1</font></span></a>, <a class="txt" href="#E5:117"><span class="lab"><font color="Green" title="E83">A3</font></span></a>, <a class="ref" href="modelc_2.html#T49" target="_self" onmouseover="rs('modelc_2/T49')" onmouseout="rh()">Th49</a></span>;<br/>
<span class="kw">hence </span><a NAME="E16:117"/>
 <a href="modelc_2.html#K21" title="MODELC_2:func.21">Evaluate</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c1">H1</font> <a href="modelc_2.html#K8" title="MODELC_2:func.8">'R'</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#K21" title="MODELC_2:func.21">Evaluate</a> (<font color="Maroon" title="c1">H1</font>,<font color="Maroon" title="c4">Kai</font>)</span>)</span> <a href="modelc_2.html#K24" title="MODELC_2:func.24">'R'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K21" title="MODELC_2:func.21">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="#E2:117"><span class="lab"><font color="Green" title="E81">A1</font></span></a>, <a class="txt" href="#E3:117"><span class="lab"><font color="Green" title="E82">A2</font></span></a>, <a class="txt" href="#E6:117"><span class="lab"><font color="Green" title="E84">A4</font></span></a>, <a class="txt" href="#E9:117"><span class="lab"><font color="Green" title="E86">A6</font></span></a>, <a class="txt" href="#E10:117"><span class="lab"><font color="Green" title="E87">A7</font></span></a>, <a class="txt" href="#E11:117"><span class="lab"><font color="Green" title="E88">A8</font></span></a>, <a class="txt" href="#E14:117"><span class="lab"><font color="Green" title="E90">A10</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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