<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">H</font> be   <a href="modelc_1.html#NM1">CTL-formula</a>;<br/>

<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="28_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:28_1"/>
( <font color="Maroon">H</font> is <a href="modelc_1.html#V2" target="_self">atomic</a> or <font color="Maroon">H</font> is <a href="modelc_1.html#V3" target="_self">negative</a> or <font color="Maroon">H</font> is <a href="modelc_1.html#V4" target="_self">conjunctive</a> or <font color="Maroon">H</font> is <a href="modelc_1.html#V5" target="_self">ExistNext</a> or <font color="Maroon">H</font> is <a href="modelc_1.html#V6" target="_self">ExistGlobal</a> or <font color="Maroon">H</font> is <a href="modelc_1.html#V7" target="_self">ExistUntill</a> )
 </span><b>by </b><i/>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="28_1_1"><b>case </b></a><a NAME="E1:28_1_1"/>
<font color="Maroon">H</font> is <a href="modelc_1.html#V2" target="_self">atomic</a>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:28_1_1"/>
( <font color="Maroon">H</font> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <font color="Maroon">H</font> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 1 &amp; <font color="Maroon">H</font> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 2 &amp; <font color="Maroon">H</font> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 3 &amp; <font color="Maroon">H</font> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 4 )
 <b>by </b><i><a class="txt" href="modelc_1.html#E1"><i><font color="Green">Lemma23</font></i></a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="28_1_2"><b>case </b></a><a NAME="E1:28_1_2"/>
<font color="Maroon">H</font> is <a href="modelc_1.html#V3" target="_self">negative</a>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:28_1_2"/>
<font color="Maroon">H</font> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#R1">=</a> 0
 <b>by </b><i/>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="28_1_3"><b>case </b></a><a NAME="E1:28_1_3"/>
<font color="Maroon">H</font> is <a href="modelc_1.html#V4" target="_self">conjunctive</a>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:28_1_3"/>
<font color="Maroon">H</font> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#R1">=</a> 1
 <b>by </b><i/>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="28_1_4"><b>case </b></a><a NAME="E1:28_1_4"/>
<font color="Maroon">H</font> is <a href="modelc_1.html#V5" target="_self">ExistNext</a>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:28_1_4"/>
<font color="Maroon">H</font> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#R1">=</a> 2
 <b>by </b><i/>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="28_1_5"><b>case </b></a><a NAME="E1:28_1_5"/>
<font color="Maroon">H</font> is <a href="modelc_1.html#V6" target="_self">ExistGlobal</a>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:28_1_5"/>
<font color="Maroon">H</font> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#R1">=</a> 3
 <b>by </b><i/>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="28_1_6"><b>case </b></a><a NAME="E1:28_1_6"/>
<font color="Maroon">H</font> is <a href="modelc_1.html#V7" target="_self">ExistUntill</a>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:28_1_6"/>
<font color="Maroon">H</font> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#R1">=</a> 4
 <b>by </b><i/>;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div>
