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<span class="kw">let </span><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:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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/><span class="kw">let </span><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:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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/>





<span class="kw">set </span><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/>
<span class="kw">set </span><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/>
<span class="kw">assume </span><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:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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"/><span class="kw">then </span>
( <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> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_3.html#D9" target="_self" title="MODELC_3:def.9">Def9</a></span>;<br/>
<a NAME="E3:76"/><span class="kw">then </span>
 <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
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_3.html#T19" target="_self" title="MODELC_3:th.19">Th19</a>, <a class="ref" href="modelc_3.html#T20" target="_self" title="MODELC_3:th.20">Th20</a></span>;<br/>
<span class="kw">hence </span><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
 <span class="kw">by</span> <span class="lab"><a class="txt" href="modelc_3.html#E5"><span class="lab"><font color="Green" title="E5">Lm5</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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