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

<span class="kw">let </span><font color="Maroon" title="c3">p</font>, <font color="Maroon" title="c4">q</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="ltlaxio1.html#NK1" title="LTLAXIO1:NK.1">LTLB_WFF</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">g</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <a href="ltlaxio1.html#NK1" title="LTLAXIO1:NK.1">LTLB_WFF</a>,<a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> holds  <span class="p1">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Olive" title="b1">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">p</font> <a href="ltlaxio1.html#K5" title="LTLAXIO1:func.5">'or'</a> <font color="Maroon" title="c4">q</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Olive" title="b1">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c3">p</font></span>)</span> <a href="xboolean.html#K5" title="XBOOLEAN:func.5">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Olive" title="b1">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">q</font></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c5">g</font> be   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <a href="ltlaxio1.html#NK1" title="LTLAXIO1:NK.1">LTLB_WFF</a>,<a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">p</font> <a href="ltlaxio1.html#K5" title="LTLAXIO1:func.5">'or'</a> <font color="Maroon" title="c4">q</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c3">p</font></span>)</span> <a href="xboolean.html#K5" title="XBOOLEAN:func.5">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">q</font></span>)</span></span><br/>





<span class="kw">set </span><font color="Maroon" title="c6">v</font> =  <a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font>;<br/>
<a NAME="E1:8"/><span class="lab"><font color="Green" title="E7">A1</font></span>: 
<span class="p1">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <a href="ltlaxio1.html#NK2" title="LTLAXIO1:NK.2">TFALSUM</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K6" title="MARGREL1:func.6">FALSE</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="ltlaxio1.html#D15" onmouseover="rs('ltlaxio1/D15')" onmouseout="rh()">LTLAXIO1:def 15</a></span>;<br/>
<span class="kw">thus </span><span class="p1">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">p</font> <a href="ltlaxio1.html#K5" title="LTLAXIO1:func.5">'or'</a> <font color="Maroon" title="c4">q</font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ltlaxio1.html#K1" title="LTLAXIO1:func.1">'not'</a> <font color="Maroon" title="c3">p</font></span>)</span> <a href="ltlaxio1.html#K4" title="LTLAXIO1:func.4">'&amp;&amp;'</a> <span class="p3">(<span class="default"><a href="ltlaxio1.html#K1" title="LTLAXIO1:func.1">'not'</a> <font color="Maroon" title="c4">q</font></span>)</span></span>)</span></span>)</span> <a href="xboolean.html#K6" title="XBOOLEAN:func.6">=&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <a href="ltlaxio1.html#NK2" title="LTLAXIO1:NK.2">TFALSUM</a></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ltlaxio1.html#D15" onmouseover="rs('ltlaxio1/D15')" onmouseout="rh()">LTLAXIO1:def 15</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p3">(<span class="default"><a href="ltlaxio1.html#K1" title="LTLAXIO1:func.1">'not'</a> <font color="Maroon" title="c3">p</font></span>)</span></span>)</span> <a href="margrel1.html#K9" title="MARGREL1:func.9">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p3">(<span class="default"><a href="ltlaxio1.html#K1" title="LTLAXIO1:func.1">'not'</a> <font color="Maroon" title="c4">q</font></span>)</span></span>)</span></span>)</span> <a href="xboolean.html#K6" title="XBOOLEAN:func.6">=&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <a href="ltlaxio1.html#NK2" title="LTLAXIO1:NK.2">TFALSUM</a></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ltlaxio1.html#T31" onmouseover="rs('ltlaxio1/T31')" onmouseout="rh()">LTLAXIO1:31</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c3">p</font></span>)</span> <a href="xboolean.html#K6" title="XBOOLEAN:func.6">=&gt;</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <a href="ltlaxio1.html#NK2" title="LTLAXIO1:NK.2">TFALSUM</a></span>)</span></span>)</span> <a href="xboolean.html#K4" title="XBOOLEAN:func.4">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p3">(<span class="default"><a href="ltlaxio1.html#K1" title="LTLAXIO1:func.1">'not'</a> <font color="Maroon" title="c4">q</font></span>)</span></span>)</span></span>)</span> <a href="xboolean.html#K6" title="XBOOLEAN:func.6">=&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <a href="ltlaxio1.html#NK2" title="LTLAXIO1:NK.2">TFALSUM</a></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ltlaxio1.html#D15" onmouseover="rs('ltlaxio1/D15')" onmouseout="rh()">LTLAXIO1:def 15</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c3">p</font></span>)</span> <a href="xboolean.html#K6" title="XBOOLEAN:func.6">=&gt;</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <a href="ltlaxio1.html#NK2" title="LTLAXIO1:NK.2">TFALSUM</a></span>)</span></span>)</span> <a href="xboolean.html#K4" title="XBOOLEAN:func.4">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">q</font></span>)</span> <a href="xboolean.html#K6" title="XBOOLEAN:func.6">=&gt;</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <a href="ltlaxio1.html#NK2" title="LTLAXIO1:NK.2">TFALSUM</a></span>)</span></span>)</span></span>)</span> <a href="xboolean.html#K6" title="XBOOLEAN:func.6">=&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <a href="ltlaxio1.html#NK2" title="LTLAXIO1:NK.2">TFALSUM</a></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ltlaxio1.html#D15" onmouseover="rs('ltlaxio1/D15')" onmouseout="rh()">LTLAXIO1:def 15</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c3">p</font></span>)</span> <a href="xboolean.html#K5" title="XBOOLEAN:func.5">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ltlaxio1.html#K12" title="LTLAXIO1:func.12">VAL</a> <font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">q</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:8"><span class="lab"><font color="Green" title="E7">A1</font></span></a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
