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<b>let </b><font color="Maroon" title="c1">H</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"> (  not <font color="Maroon" title="c1">H</font> is <a href="modelc_3.html#V5" title="MODELC_3:attr.5">neg-inner-most</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_3.html#V6" title="MODELC_3:attr.6">Sub_atomic</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V4" title="MODELC_2:attr.4">conjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V5" title="MODELC_2:attr.5">disjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V6" title="MODELC_2:attr.6">next</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V7" title="MODELC_2:attr.7">Until</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V8" title="MODELC_2:attr.8">Release</a> )</span><br/>

<b>assume </b><a NAME="E1:136"/><i><font color="Green" title="E115">A1</font></i>: 
<font color="Maroon" title="c1">H</font> is <a href="modelc_3.html#V5" title="MODELC_3:attr.5">neg-inner-most</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">H</font> is <a href="modelc_3.html#V6" title="MODELC_3:attr.6">Sub_atomic</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V4" title="MODELC_2:attr.4">conjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V5" title="MODELC_2:attr.5">disjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V6" title="MODELC_2:attr.6">next</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V7" title="MODELC_2:attr.7">Until</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V8" title="MODELC_2:attr.8">Release</a> )</span><br/>

<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="136_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:136_1"/>
( <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V2" title="MODELC_2:attr.2">atomic</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V3" title="MODELC_2:attr.3">negative</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V4" title="MODELC_2:attr.4">conjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V5" title="MODELC_2:attr.5">disjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V6" title="MODELC_2:attr.6">next</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V7" title="MODELC_2:attr.7">Until</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V8" title="MODELC_2:attr.8">Release</a> )
 </span><b>by </b><i><a class="ref" href="modelc_2.html#T2" title="MODELC_2:th.2">MODELC_2:2</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="136_1_1"><b>suppose </b></a><a NAME="E1:136_1_1"/>
<font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V2" title="MODELC_2:attr.2">atomic</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">H</font> is <a href="modelc_3.html#V6" title="MODELC_3:attr.6">Sub_atomic</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V4" title="MODELC_2:attr.4">conjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V5" title="MODELC_2:attr.5">disjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V6" title="MODELC_2:attr.6">next</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V7" title="MODELC_2:attr.7">Until</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V8" title="MODELC_2:attr.8">Release</a> )</span><br/><div class="add"><b>hence </b><a NAME="E2:136_1_1"/>
( <font color="Maroon" title="c1">H</font> is <a href="modelc_3.html#V6" title="MODELC_3:attr.6">Sub_atomic</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V4" title="MODELC_2:attr.4">conjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V5" title="MODELC_2:attr.5">disjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V6" title="MODELC_2:attr.6">next</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V7" title="MODELC_2:attr.7">Until</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V8" title="MODELC_2:attr.8">Release</a> )
 <b>by </b><i><a class="ref" href="modelc_3.html#D38" target="_self" title="MODELC_3:def.38">DefSubatomic</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="136_1_2"><b>suppose </b></a><a NAME="E1:136_1_2"/><i><font color="Green" title="E116">B1</font></i>: 
<font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V3" title="MODELC_2:attr.3">negative</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">H</font> is <a href="modelc_3.html#V6" title="MODELC_3:attr.6">Sub_atomic</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V4" title="MODELC_2:attr.4">conjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V5" title="MODELC_2:attr.5">disjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V6" title="MODELC_2:attr.6">next</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V7" title="MODELC_2:attr.7">Until</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V8" title="MODELC_2:attr.8">Release</a> )</span><br/><div class="add"><b>set </b><font color="Maroon" title="c2">G</font> =  <a href="modelc_2.html#K10" title="MODELC_2:func.10">the_argument_of</a> <font color="Maroon" title="c1">H</font>;<br/><a NAME="E2:136_1_2"/><i><font color="Green" title="E117">B2</font></i>: 
<font color="Maroon" title="c1">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_2.html#K3" title="MODELC_2:func.3">'not'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K10" title="MODELC_2:func.10">the_argument_of</a> <font color="Maroon" title="c1">H</font></span>)</span>
 <b>by </b><i><a class="txt" href="#E1:136_1_2"><i><font color="Green" title="E116">B1</font></i></a>, <a class="ref" href="modelc_2.html#D18" title="MODELC_2:def.18">MODELC_2:def 18</a></i>;<br/><a NAME="E3:136_1_2"/>
<font color="Maroon" title="c1">H</font> <a href="modelc_2.html#R2" title="MODELC_2:pred.2">is_subformula_of</a> <font color="Maroon" title="c1">H</font>
 <b>by </b><i><a class="ref" href="modelc_2.html#T27" title="MODELC_2:th.27">MODELC_2:27</a></i>;<br/><a NAME="E4:136_1_2"/><b>then </b>
 <a href="modelc_2.html#K10" title="MODELC_2:func.10">the_argument_of</a> <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V2" title="MODELC_2:attr.2">atomic</a>
 <b>by </b><i><a class="txt" href="#E1:136"><i><font color="Green" title="E115">A1</font></i></a>, <a class="txt" href="#E1:136_1_2"><i><font color="Green" title="E116">B1</font></i></a>, <a class="ref" href="modelc_3.html#D37" target="_self" title="MODELC_3:def.37">DefNegIM</a></i>;<br/><b>hence </b><a NAME="E5:136_1_2"/>
( <font color="Maroon" title="c1">H</font> is <a href="modelc_3.html#V6" title="MODELC_3:attr.6">Sub_atomic</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V4" title="MODELC_2:attr.4">conjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V5" title="MODELC_2:attr.5">disjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V6" title="MODELC_2:attr.6">next</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V7" title="MODELC_2:attr.7">Until</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V8" title="MODELC_2:attr.8">Release</a> )
 <b>by </b><i><a class="ref" href="modelc_3.html#D38" target="_self" title="MODELC_3:def.38">DefSubatomic</a>, <a class="txt" href="#E2:136_1_2"><i><font color="Green" title="E117">B2</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/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="136_1_3"><b>suppose </b></a><a NAME="E1:136_1_3"/>
( <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V4" title="MODELC_2:attr.4">conjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V5" title="MODELC_2:attr.5">disjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V6" title="MODELC_2:attr.6">next</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V7" title="MODELC_2:attr.7">Until</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V8" title="MODELC_2:attr.8">Release</a> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">H</font> is <a href="modelc_3.html#V6" title="MODELC_3:attr.6">Sub_atomic</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V4" title="MODELC_2:attr.4">conjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V5" title="MODELC_2:attr.5">disjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V6" title="MODELC_2:attr.6">next</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V7" title="MODELC_2:attr.7">Until</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V8" title="MODELC_2:attr.8">Release</a> )</span><br/><div class="add"><b>hence </b><a NAME="E2:136_1_3"/>
( <font color="Maroon" title="c1">H</font> is <a href="modelc_3.html#V6" title="MODELC_3:attr.6">Sub_atomic</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V4" title="MODELC_2:attr.4">conjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V5" title="MODELC_2:attr.5">disjunctive</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V6" title="MODELC_2:attr.6">next</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V7" title="MODELC_2:attr.7">Until</a> or <font color="Maroon" title="c1">H</font> is <a href="modelc_2.html#V8" title="MODELC_2:attr.8">Release</a> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/></div><b>end;</b></div></div><b>end;</b></div>

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