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

<b>assume </b><a NAME="E1:43"/><i><font color="Green">E27</font></i>: 
( <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#V5" target="_self">ExistNext</a> or <font color="Maroon">H</font> is <a href="modelc_1.html#V6" target="_self">ExistGlobal</a> )
 ;<br/>

<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:43_1"/>
( <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#V5" target="_self">ExistNext</a> or <font color="Maroon">H</font> is <a href="modelc_1.html#V6" target="_self">ExistGlobal</a> )
 </span><b>by </b><i/>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_1"><b>suppose </b></a><a NAME="E1:43_1_1"/>
<font color="Maroon">H</font> is <a href="modelc_1.html#V3" target="_self">negative</a>
 ;<br/><div class="add"><a NAME="E2:43_1_1"/><b>then </b>
<font color="Maroon">H</font> <a href="hidden.html#R1">=</a>  <a href="modelc_1.html#K8" target="_self">'not'</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K15" target="_self">the_argument_of</a> <font color="Maroon">H</font></span>)</span>
 <b>by </b><i/>;<br/><a NAME="E3:43_1_1"/><b>then </b>
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">H</font> <a href="hidden.html#R1">=</a> 1 <a href="binop_2.html#K23">+</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3">len</a> <span class="p2">(<span class="default"><a href="modelc_1.html#K15" target="_self">the_argument_of</a> <font color="Maroon">H</font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="finseq_5.html#T8">FINSEQ_5:8</a></i>;<br/><b>hence </b><a NAME="E4:43_1_1"/>
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K15" target="_self">the_argument_of</a> <font color="Maroon">H</font></span>)</span> <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">H</font>
 <b>by </b><i><a class="ref" href="nat_1.html#T59">NAT_1:59</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_2"><b>suppose </b></a><a NAME="E1:43_1_2"/>
<font color="Maroon">H</font> is <a href="modelc_1.html#V5" target="_self">ExistNext</a>
 ;<br/><div class="add"><a NAME="E2:43_1_2"/><b>then </b>
<font color="Maroon">H</font> <a href="hidden.html#R1">=</a>  <a href="modelc_1.html#K10" target="_self">EX</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K15" target="_self">the_argument_of</a> <font color="Maroon">H</font></span>)</span>
 <b>by </b><i/>;<br/><a NAME="E3:43_1_2"/><b>then </b>
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">H</font> <a href="hidden.html#R1">=</a> 1 <a href="binop_2.html#K23">+</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3">len</a> <span class="p2">(<span class="default"><a href="modelc_1.html#K15" target="_self">the_argument_of</a> <font color="Maroon">H</font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="finseq_5.html#T8">FINSEQ_5:8</a></i>;<br/><b>hence </b><a NAME="E4:43_1_2"/>
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K15" target="_self">the_argument_of</a> <font color="Maroon">H</font></span>)</span> <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">H</font>
 <b>by </b><i><a class="ref" href="nat_1.html#T59">NAT_1:59</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="43_1_3"><b>suppose </b></a><a NAME="E1:43_1_3"/>
<font color="Maroon">H</font> is <a href="modelc_1.html#V6" target="_self">ExistGlobal</a>
 ;<br/><div class="add"><a NAME="E2:43_1_3"/><b>then </b>
<font color="Maroon">H</font> <a href="hidden.html#R1">=</a>  <a href="modelc_1.html#K11" target="_self">EG</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K15" target="_self">the_argument_of</a> <font color="Maroon">H</font></span>)</span>
 <b>by </b><i/>;<br/><a NAME="E3:43_1_3"/><b>then </b>
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">H</font> <a href="hidden.html#R1">=</a> 1 <a href="binop_2.html#K23">+</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3">len</a> <span class="p2">(<span class="default"><a href="modelc_1.html#K15" target="_self">the_argument_of</a> <font color="Maroon">H</font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="finseq_5.html#T8">FINSEQ_5:8</a></i>;<br/><b>hence </b><a NAME="E4:43_1_3"/>
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K15" target="_self">the_argument_of</a> <font color="Maroon">H</font></span>)</span> <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">H</font>
 <b>by </b><i><a class="ref" href="nat_1.html#T59">NAT_1:59</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

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