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<b>deffunc </b><font color="Maroon">H<sub>1</sub></font>(   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ) <b>-&gt; </b>   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="modelc_1.html#K32" title="MODELC_1:func.32">ModelSP</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K27" title="MODELC_2:func.27">Inf_seq</a> <a href="modelc_2.html#K46" title="MODELC_2:func.46">AtomicFamily</a> </span>)</span> =  <a href="modelc_2.html#K48" title="MODELC_2:func.48">AtomicAsgn</a> $1;<br/>
<a NAME="E1:163_1_1"/><i><font color="Green" title="E132">A2</font></i>: 
for <font color="Olive" title="b1">a</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Olive" title="b1">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_2.html#K15" title="MODELC_2:func.15">atomic_LTL</a>  holds <br/><font color="Maroon">H<sub>1</sub></font>(<font color="Olive" title="b1">a</font>) <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="modelc_2.html#U2" title="MODELC_2:sel.2">BasicAssign</a> of <span class="p1">(<span class="default"><a href="modelc_2.html#K45" title="MODELC_2:func.45">LTLModel</a> <a href="modelc_2.html#K46" title="MODELC_2:func.46">AtomicFamily</a> ,<a href="modelc_2.html#K49" title="MODELC_2:func.49">AtomicBasicAsgn</a> </span>)</span>
 
;<br/>
<b>consider </b><font color="Maroon" title="c1">IT</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 <span class="p1">(<span class="default"><a href="modelc_2.html#K45" title="MODELC_2:func.45">LTLModel</a> <a href="modelc_2.html#K46" title="MODELC_2:func.46">AtomicFamily</a> ,<a href="modelc_2.html#K49" title="MODELC_2:func.49">AtomicBasicAsgn</a> </span>)</span><b> such that </b><br/><a NAME="E3:163_1_1"/><i><font color="Green" title="E133">A3</font></i>: 
for <font color="Olive" title="b1">a</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Olive" title="b1">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_2.html#K15" title="MODELC_2:func.15">atomic_LTL</a>  holds <br/><font color="Maroon" title="c1">IT</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive" title="b1">a</font>)
 <b>from </b><i><a class="ref" href="funct_2.html#S2" title="FUNCT_2:sch.2">FUNCT_2:sch 2</a>(<a class="txt" href="modelc_2.html#E1:163_1_1"><i><font color="Green" title="E132">A2</font></i></a>);<br/></i>
<b>take </b>
<font color="Maroon" title="c1">IT</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">a</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Olive" title="b1">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_2.html#K15" title="MODELC_2:func.15">atomic_LTL</a>  holds <br/><font color="Maroon" title="c1">IT</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_2.html#K48" title="MODELC_2:func.48">AtomicAsgn</a> <font color="Olive" title="b1">a</font></span><br/>

<b>thus </b><a NAME="E4:163_1_1"/>
for <font color="Olive" title="b1">a</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Olive" title="b1">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_2.html#K15" title="MODELC_2:func.15">atomic_LTL</a>  holds <br/><font color="Maroon" title="c1">IT</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_2.html#K48" title="MODELC_2:func.48">AtomicAsgn</a> <font color="Olive" title="b1">a</font>
 <b>by </b><i><a class="txt" href="modelc_2.html#E3:163_1_1"><i><font color="Green" title="E133">A3</font></i></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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