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<b>let </b><font color="Maroon" title="c1">H</font> be   <a href="modelc_1.html#NM1" title="MODELC_1:NM.1">CTL-formula</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">S</font> being non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <br/> for <font color="Olive" title="b2">R</font> being <a href="partfun1.html#V1" title="PARTFUN1:attr.1">total</a>  <a href="relset_1.html#M2" title="RELSET_1:mode.2">Relation</a> of <font color="Olive" title="b1">S</font>,<font color="Olive" title="b1">S</font><br/> for <font color="Olive" title="b3">s</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">S</font><br/> for <font color="Olive" title="b4">BASSIGN</font> being non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="modelc_1.html#K32" title="MODELC_1:func.32">ModelSP</a> <font color="Olive" title="b1">S</font></span>)</span><br/> for <font color="Olive" title="b5">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 <span class="p1">(<span class="default"><a href="modelc_1.html#K50" title="MODELC_1:func.50">CTLModel</a> <font color="Olive" title="b2">R</font>,<font color="Olive" title="b4">BASSIGN</font></span>)</span> holds <br/> ( <font color="Olive" title="b3">s</font>,<font color="Olive" title="b5">kai</font> <a href="modelc_1.html#R4" title="MODELC_1:pred.4">|=</a>  <a href="modelc_1.html#K8" title="MODELC_1:func.8">'not'</a> <font color="Maroon" title="c1">H</font> iff <font color="Olive" title="b3">s</font>,<font color="Olive" title="b5">kai</font> <a href="modelc_1.html#NR6" title="MODELC_1:NR.6">|/=</a> <font color="Maroon" title="c1">H</font> )</span><br/><b>let </b><font color="Maroon" title="c2">S</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">R</font> being <a href="partfun1.html#V1" title="PARTFUN1:attr.1">total</a>  <a href="relset_1.html#M2" title="RELSET_1:mode.2">Relation</a> of <font color="Maroon" title="c2">S</font>,<font color="Maroon" title="c2">S</font><br/> for <font color="Olive" title="b2">s</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c2">S</font><br/> for <font color="Olive" title="b3">BASSIGN</font> being non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="modelc_1.html#K32" title="MODELC_1:func.32">ModelSP</a> <font color="Maroon" title="c2">S</font></span>)</span><br/> for <font color="Olive" title="b4">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 <span class="p1">(<span class="default"><a href="modelc_1.html#K50" title="MODELC_1:func.50">CTLModel</a> <font color="Olive" title="b1">R</font>,<font color="Olive" title="b3">BASSIGN</font></span>)</span> holds <br/> ( <font color="Olive" title="b2">s</font>,<font color="Olive" title="b4">kai</font> <a href="modelc_1.html#R4" title="MODELC_1:pred.4">|=</a>  <a href="modelc_1.html#K8" title="MODELC_1:func.8">'not'</a> <font color="Maroon" title="c1">H</font> iff <font color="Olive" title="b2">s</font>,<font color="Olive" title="b4">kai</font> <a href="modelc_1.html#NR6" title="MODELC_1:NR.6">|/=</a> <font color="Maroon" title="c1">H</font> )</span><br/><b>let </b><font color="Maroon" title="c3">R</font> be  <a href="partfun1.html#V1" title="PARTFUN1:attr.1">total</a>  <a href="relset_1.html#M2" title="RELSET_1:mode.2">Relation</a> of <font color="Maroon" title="c2">S</font>,<font color="Maroon" title="c2">S</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">s</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c2">S</font><br/> for <font color="Olive" title="b2">BASSIGN</font> being non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="modelc_1.html#K32" title="MODELC_1:func.32">ModelSP</a> <font color="Maroon" title="c2">S</font></span>)</span><br/> for <font color="Olive" title="b3">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 <span class="p1">(<span class="default"><a href="modelc_1.html#K50" title="MODELC_1:func.50">CTLModel</a> <font color="Maroon" title="c3">R</font>,<font color="Olive" title="b2">BASSIGN</font></span>)</span> holds <br/> ( <font color="Olive" title="b1">s</font>,<font color="Olive" title="b3">kai</font> <a href="modelc_1.html#R4" title="MODELC_1:pred.4">|=</a>  <a href="modelc_1.html#K8" title="MODELC_1:func.8">'not'</a> <font color="Maroon" title="c1">H</font> iff <font color="Olive" title="b1">s</font>,<font color="Olive" title="b3">kai</font> <a href="modelc_1.html#NR6" title="MODELC_1:NR.6">|/=</a> <font color="Maroon" title="c1">H</font> )</span><br/><b>let </b><font color="Maroon" title="c4">s</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c2">S</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">BASSIGN</font> being non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="modelc_1.html#K32" title="MODELC_1:func.32">ModelSP</a> <font color="Maroon" title="c2">S</font></span>)</span><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 <span class="p1">(<span class="default"><a href="modelc_1.html#K50" title="MODELC_1:func.50">CTLModel</a> <font color="Maroon" title="c3">R</font>,<font color="Olive" title="b1">BASSIGN</font></span>)</span> holds <br/> ( <font color="Maroon" title="c4">s</font>,<font color="Olive" title="b2">kai</font> <a href="modelc_1.html#R4" title="MODELC_1:pred.4">|=</a>  <a href="modelc_1.html#K8" title="MODELC_1:func.8">'not'</a> <font color="Maroon" title="c1">H</font> iff <font color="Maroon" title="c4">s</font>,<font color="Olive" title="b2">kai</font> <a href="modelc_1.html#NR6" title="MODELC_1:NR.6">|/=</a> <font color="Maroon" title="c1">H</font> )</span><br/><b>let </b><font color="Maroon" title="c5">BASSIGN</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="modelc_1.html#K32" title="MODELC_1:func.32">ModelSP</a> <font color="Maroon" title="c2">S</font></span>)</span>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></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 <span class="p1">(<span class="default"><a href="modelc_1.html#K50" title="MODELC_1:func.50">CTLModel</a> <font color="Maroon" title="c3">R</font>,<font color="Maroon" title="c5">BASSIGN</font></span>)</span> holds <br/> ( <font color="Maroon" title="c4">s</font>,<font color="Olive" title="b1">kai</font> <a href="modelc_1.html#R4" title="MODELC_1:pred.4">|=</a>  <a href="modelc_1.html#K8" title="MODELC_1:func.8">'not'</a> <font color="Maroon" title="c1">H</font> iff <font color="Maroon" title="c4">s</font>,<font color="Olive" title="b1">kai</font> <a href="modelc_1.html#NR6" title="MODELC_1:NR.6">|/=</a> <font color="Maroon" title="c1">H</font> )</span><br/><b>let </b><font color="Maroon" title="c6">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 <span class="p1">(<span class="default"><a href="modelc_1.html#K50" title="MODELC_1:func.50">CTLModel</a> <font color="Maroon" title="c3">R</font>,<font color="Maroon" title="c5">BASSIGN</font></span>)</span>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c4">s</font>,<font color="Maroon" title="c6">kai</font> <a href="modelc_1.html#R4" title="MODELC_1:pred.4">|=</a>  <a href="modelc_1.html#K8" title="MODELC_1:func.8">'not'</a> <font color="Maroon" title="c1">H</font> iff <font color="Maroon" title="c4">s</font>,<font color="Maroon" title="c6">kai</font> <a href="modelc_1.html#NR6" title="MODELC_1:NR.6">|/=</a> <font color="Maroon" title="c1">H</font> )</span><br/>











<a NAME="E1:134"/>
( <font color="Maroon" title="c4">s</font>,<font color="Maroon" title="c6">kai</font> <a href="modelc_1.html#R4" title="MODELC_1:pred.4">|=</a>  <a href="modelc_1.html#K8" title="MODELC_1:func.8">'not'</a> <font color="Maroon" title="c1">H</font> iff <font color="Maroon" title="c4">s</font> <a href="modelc_1.html#R3" title="MODELC_1:pred.3">|=</a>  <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K8" title="MODELC_1:func.8">'not'</a> <font color="Maroon" title="c1">H</font></span>)</span>,<font color="Maroon" title="c6">kai</font> )
 
<b>by </b><i><a class="ref" href="modelc_1.html#D60" target="_self" title="MODELC_1:def.60">Def60</a></i>;<br/>
<a NAME="E2:134"/><b>then </b>
( <font color="Maroon" title="c4">s</font>,<font color="Maroon" title="c6">kai</font> <a href="modelc_1.html#R4" title="MODELC_1:pred.4">|=</a>  <a href="modelc_1.html#K8" title="MODELC_1:func.8">'not'</a> <font color="Maroon" title="c1">H</font> iff <font color="Maroon" title="c4">s</font> <a href="modelc_1.html#R3" title="MODELC_1:pred.3">|=</a>  <a href="modelc_1.html#K25" title="MODELC_1:func.25">'not'</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">H</font>,<font color="Maroon" title="c6">kai</font></span>)</span> )
 
<b>by </b><i><a class="ref" href="modelc_1.html#T5" target="_self" title="MODELC_1:th.5">Th5</a></i>;<br/>
<a NAME="E3:134"/><b>then </b>
( <font color="Maroon" title="c4">s</font>,<font color="Maroon" title="c6">kai</font> <a href="modelc_1.html#R4" title="MODELC_1:pred.4">|=</a>  <a href="modelc_1.html#K8" title="MODELC_1:func.8">'not'</a> <font color="Maroon" title="c1">H</font> iff <font color="Maroon" title="c4">s</font> <a href="modelc_1.html#NR4" title="MODELC_1:NR.4">|/=</a>  <a href="modelc_1.html#K24" title="MODELC_1:func.24">Evaluate</a> <font color="Maroon" title="c1">H</font>,<font color="Maroon" title="c6">kai</font> )
 
<b>by </b><i><a class="ref" href="modelc_1.html#T12" target="_self" title="MODELC_1:th.12">Th12</a></i>;<br/>
<b>hence </b><a NAME="E4:134"/>
( <font color="Maroon" title="c4">s</font>,<font color="Maroon" title="c6">kai</font> <a href="modelc_1.html#R4" title="MODELC_1:pred.4">|=</a>  <a href="modelc_1.html#K8" title="MODELC_1:func.8">'not'</a> <font color="Maroon" title="c1">H</font> iff <font color="Maroon" title="c4">s</font>,<font color="Maroon" title="c6">kai</font> <a href="modelc_1.html#NR6" title="MODELC_1:NR.6">|/=</a> <font color="Maroon" title="c1">H</font> )
 <b>by </b><i><a class="ref" href="modelc_1.html#D60" target="_self" title="MODELC_1:def.60">Def60</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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