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<b>let </b><font color="Maroon" title="c1">v</font> be   <a href="modelc_2.html#NM1" title="MODELC_2:NM.1">LTL-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">N2</font>, <font color="Olive" title="b2">N1</font> being <a href="modelc_3.html#V1" title="MODELC_3:attr.1">strict</a>  <a href="modelc_3.html#L1" title="MODELC_3:struct.1">LTLnode</a> of <font color="Maroon" title="c1">v</font>  st <font color="Olive" title="b1">N2</font> <a href="modelc_3.html#R4" title="MODELC_3:pred.4">is_succ_of</a> <font color="Olive" title="b2">N1</font> holds <br/> <a href="modelc_3.html#K21" title="MODELC_3:func.21">len</a> <font color="Olive" title="b1">N2</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="modelc_3.html#K21" title="MODELC_3:func.21">len</a> <font color="Olive" title="b2">N1</font></span>)</span> <a href="real_1.html#K5" title="REAL_1:func.5">-</a> 1</span><br/><b>let </b><font color="Maroon" title="c2">N2</font>, <font color="Maroon" title="c3">N1</font> be  <a href="modelc_3.html#V1" title="MODELC_3:attr.1">strict</a>  <a href="modelc_3.html#L1" title="MODELC_3:struct.1">LTLnode</a> of <font color="Maroon" title="c1">v</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">N2</font> <a href="modelc_3.html#R4" title="MODELC_3:pred.4">is_succ_of</a> <font color="Maroon" title="c3">N1</font> implies  <a href="modelc_3.html#K21" title="MODELC_3:func.21">len</a> <font color="Maroon" title="c2">N2</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="modelc_3.html#K21" title="MODELC_3:func.21">len</a> <font color="Maroon" title="c3">N1</font></span>)</span> <a href="real_1.html#K5" title="REAL_1:func.5">-</a> 1 )</span><br/>





<b>set </b><font color="Maroon" title="c4">r1</font> =  <a href="modelc_3.html#K18" title="MODELC_3:func.18">len</a> the <a href="modelc_3.html#U2" title="MODELC_3:sel.2">LTLnew</a> of <font color="Maroon" title="c3">N1</font>;<br/>
<b>set </b><font color="Maroon" title="c5">r2</font> =  <a href="modelc_3.html#K18" title="MODELC_3:func.18">len</a> the <a href="modelc_3.html#U2" title="MODELC_3:sel.2">LTLnew</a> of <font color="Maroon" title="c2">N2</font>;<br/>
<b>assume </b><a NAME="E1:76"/>
<font color="Maroon" title="c2">N2</font> <a href="modelc_3.html#R4" title="MODELC_3:pred.4">is_succ_of</a> <font color="Maroon" title="c3">N1</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="modelc_3.html#K21" title="MODELC_3:func.21">len</a> <font color="Maroon" title="c2">N2</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="modelc_3.html#K21" title="MODELC_3:func.21">len</a> <font color="Maroon" title="c3">N1</font></span>)</span> <a href="real_1.html#K5" title="REAL_1:func.5">-</a> 1</span><br/>

<a NAME="E2:76"/><b>then </b>
( <font color="Maroon" title="c2">N2</font> <a href="modelc_3.html#R2" title="MODELC_3:pred.2">is_succ1_of</a> <font color="Maroon" title="c3">N1</font> or <font color="Maroon" title="c2">N2</font> <a href="modelc_3.html#R3" title="MODELC_3:pred.3">is_succ2_of</a> <font color="Maroon" title="c3">N1</font> )
 
<b>by </b><i><a class="ref" href="modelc_3.html#D9" target="_self" title="MODELC_3:def.9">Def210</a></i>;<br/>
<a NAME="E3:76"/><b>then </b>
 <a href="modelc_3.html#K18" title="MODELC_3:func.18">len</a> the <a href="modelc_3.html#U2" title="MODELC_3:sel.2">LTLnew</a> of <font color="Maroon" title="c2">N2</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="modelc_3.html#K18" title="MODELC_3:func.18">len</a> the <a href="modelc_3.html#U2" title="MODELC_3:sel.2">LTLnew</a> of <font color="Maroon" title="c3">N1</font></span>)</span> <a href="real_1.html#K9" title="REAL_1:func.9">-</a> 1
 
<b>by </b><i><a class="ref" href="modelc_3.html#T19" target="_self" title="MODELC_3:th.19">Thlen15</a>, <a class="ref" href="modelc_3.html#T20" target="_self" title="MODELC_3:th.20">Thlen16</a></i>;<br/>
<b>hence </b><a NAME="E4:76"/>
 <a href="modelc_3.html#K21" title="MODELC_3:func.21">len</a> <font color="Maroon" title="c2">N2</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="modelc_3.html#K21" title="MODELC_3:func.21">len</a> <font color="Maroon" title="c3">N1</font></span>)</span> <a href="real_1.html#K5" title="REAL_1:func.5">-</a> 1
 <b>by </b><i><a class="txt" href="modelc_3.html#E5"><i><font color="Green" title="E5">LemReal02</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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