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<span class="kw">let </span><font color="Maroon" title="c1">H</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"><a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c1">H</font></span>)</span>,<font color="Olive" title="b2">Kai</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_2.html#K22" title="MODELC_2:func.22">'X'</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">H</font>,<font color="Olive" title="b2">Kai</font>)</span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c2">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="c2">V</font> holds   <a href="modelc_2.html#K21" title="MODELC_2:func.21">Evaluate</a> (<span class="p1">(<span class="default"><a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c1">H</font></span>)</span>,<font color="Olive" title="b1">Kai</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_2.html#K22" title="MODELC_2:func.22">'X'</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">H</font>,<font color="Olive" title="b1">Kai</font>)</span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c3">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="c2">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"><a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c1">H</font></span>)</span>,<font color="Maroon" title="c3">Kai</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_2.html#K22" title="MODELC_2:func.22">'X'</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">H</font>,<font color="Maroon" title="c3">Kai</font>)</span>)</span></span><br/>





<span class="kw">consider </span><font color="Maroon" title="c4">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="c2">V</font><span class="kw"> such that </span><br/><a NAME="E2:115"/><span class="lab"><font color="Green" title="E79">A1</font></span>: 
<font color="Maroon" title="c4">f1</font> <a href="modelc_2.html#R4" title="MODELC_2:pred.4">is-Evaluation-for</a> <font color="Maroon" title="c3">Kai</font>
 <span class="kw">and </span><br/><a NAME="E3:115"/><span class="lab"><font color="Green" title="E80">A2</font></span>: 
 <a href="modelc_2.html#K21" title="MODELC_2:func.21">Evaluate</a> (<span class="p1">(<span class="default"><a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c1">H</font></span>)</span>,<font color="Maroon" title="c3">Kai</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">f1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c1">H</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/>
<a NAME="E4:115"/><span class="lab"><font color="Green" title="E81">A3</font></span>: 
 ex <font color="Olive" title="b1">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="c2">V</font> st <br/>( <font color="Olive" title="b1">f2</font> <a href="modelc_2.html#R4" title="MODELC_2:pred.4">is-Evaluation-for</a> <font color="Maroon" title="c3">Kai</font> &amp;  <a href="modelc_2.html#K21" title="MODELC_2:func.21">Evaluate</a> (<font color="Maroon" title="c1">H</font>,<font color="Maroon" title="c3">Kai</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">f2</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">H</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="E5:115"/><span class="lab"><font color="Green" title="E82">A4</font></span>: 
 <a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c1">H</font> is  <a href="modelc_2.html#V6" title="MODELC_2:attr.6">next</a> 
 
;<br/>
<a NAME="E6:115"/><span class="kw">then </span><span class="lab"><font color="Green" title="E83">A5</font></span>: 
 not  <a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c1">H</font> is  <a href="modelc_2.html#V3" title="MODELC_2:attr.3">negative</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="modelc_2.html#E39"><span class="lab"><font color="Green" title="E25">Lm19</font></span></a></span>;<br/>
 <a href="modelc_2.html#K21" title="MODELC_2:func.21">Evaluate</a> (<span class="p1">(<span class="default"><a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c1">H</font></span>)</span>,<font color="Maroon" title="c3">Kai</font>) = 
 the <a href="modelc_2.html#U2" title="MODELC_2:sel.2">NEXT</a> of <font color="Maroon" title="c2">V</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">f1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p2">(<span class="default"><a href="modelc_2.html#K10" title="MODELC_2:func.10">the_argument_of</a> <span class="p3">(<span class="default"><a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c1">H</font></span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:115"><span class="lab"><font color="Green" title="E79">A1</font></span></a>, <a class="txt" href="#E3:115"><span class="lab"><font color="Green" title="E80">A2</font></span></a>, <a class="txt" href="#E5:115"><span class="lab"><font color="Green" title="E82">A4</font></span></a></span>
<br/>.= 
 the <a href="modelc_2.html#U2" title="MODELC_2:sel.2">NEXT</a> of <font color="Maroon" title="c2">V</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">f1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">H</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:115"><span class="lab"><font color="Green" title="E82">A4</font></span></a>, <a class="txt" href="#E6:115"><span class="lab"><font color="Green" title="E83">A5</font></span></a>, <a class="ref" href="modelc_2.html#D18" target="_self" onmouseover="rs('modelc_2/D18')" onmouseout="rh()">Def18</a></span>
<br/>.= 
 <a href="modelc_2.html#K22" title="MODELC_2:func.22">'X'</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">H</font>,<font color="Maroon" title="c3">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="E79">A1</font></span></a>, <a class="txt" href="#E4:115"><span class="lab"><font color="Green" title="E81">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="E8:115"/>
 <a href="modelc_2.html#K21" title="MODELC_2:func.21">Evaluate</a> (<span class="p1">(<span class="default"><a href="modelc_2.html#K6" title="MODELC_2:func.6">'X'</a> <font color="Maroon" title="c1">H</font></span>)</span>,<font color="Maroon" title="c3">Kai</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_2.html#K22" title="MODELC_2:func.22">'X'</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">H</font>,<font color="Maroon" title="c3">Kai</font>)</span>)</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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