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

<span class="kw">let </span><font color="Maroon" title="c1">ap</font>, <font color="Maroon" title="c2">bp</font>, <font color="Maroon" title="c3">cp</font>, <font color="Maroon" title="c4">dp</font> be   non  <a href="facirc_1.html#V1" title="FACIRC_1:attr.1">pair</a>   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</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">cin</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Olive" title="b1">cin</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">dp</font>,<span class="p3">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> &amp;  not <font color="Olive" title="b1">cin</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="msafree2.html#K3" title="MSAFREE2:func.3">InnerVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K13" title="GFACIRC1:func.13">BitGFA0Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span> holds <br/> <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p1">(<span class="default"><a href="ftacell1.html#K1" title="FTACELL1:func.1">BitFTA0Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c4">dp</font>,<font color="Olive" title="b1">cin</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="enumset1.html#K3" title="ENUMSET1:func.3">{</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c4">dp</font>,<font color="Olive" title="b1">cin</font></span><a href="enumset1.html#K3" title="ENUMSET1:func.3">}</a></span></span><br/><span class="kw">let </span><font color="Maroon" title="c5">cin</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <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="c5">cin</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">dp</font>,<span class="p3">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> &amp;  not <font color="Maroon" title="c5">cin</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="msafree2.html#K3" title="MSAFREE2:func.3">InnerVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K13" title="GFACIRC1:func.13">BitGFA0Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span> implies  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p1">(<span class="default"><a href="ftacell1.html#K1" title="FTACELL1:func.1">BitFTA0Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c4">dp</font>,<font color="Maroon" title="c5">cin</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="enumset1.html#K3" title="ENUMSET1:func.3">{</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c4">dp</font>,<font color="Maroon" title="c5">cin</font></span><a href="enumset1.html#K3" title="ENUMSET1:func.3">}</a></span> )</span><br/>



<span class="kw">set </span><font color="Maroon" title="c6">S</font> =  <a href="ftacell1.html#K1" title="FTACELL1:func.1">BitFTA0Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c4">dp</font>,<font color="Maroon" title="c5">cin</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c7">S1</font> =  <a href="gfacirc1.html#K13" title="GFACIRC1:func.13">BitGFA0Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c8">A1</font> =  <a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c9">C1</font> =  <a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c10">S2</font> =  <a href="gfacirc1.html#K13" title="GFACIRC1:func.13">BitGFA0Str</a> (<span class="p1">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dp</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c11">apbp0</font> = <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K14" title="TWOSCOMP:func.14">xor2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c12">apbp</font> = <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c13">bpcp</font> = <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c14">cpap</font> = <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c15">cindp</font> = <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c16">dpA1</font> = <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">dp</font>,<span class="p3">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>;<br/>
<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:7"/><span class="lab"><font color="Green" title="E5">A1</font></span>: 
<font color="Maroon" title="c5">cin</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">dp</font>,<span class="p3">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>
 <span class="kw">and </span><br/><a NAME="E2:7"/><span class="lab"><font color="Green" title="E6">A2</font></span>: 
 not <font color="Maroon" title="c5">cin</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="msafree2.html#K3" title="MSAFREE2:func.3">InnerVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K13" title="GFACIRC1:func.13">BitGFA0Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p1">(<span class="default"><a href="ftacell1.html#K1" title="FTACELL1:func.1">BitFTA0Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c4">dp</font>,<font color="Maroon" title="c5">cin</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="enumset1.html#K3" title="ENUMSET1:func.3">{</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c4">dp</font>,<font color="Maroon" title="c5">cin</font></span><a href="enumset1.html#K3" title="ENUMSET1:func.3">}</a></span></span><br/>

<a NAME="E3:7"/><span class="lab"><font color="Green" title="E7">A3</font></span>: 
 not <font color="Maroon" title="c4">dp</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="enumset1.html#K4" title="ENUMSET1:func.4">{</a><span class="default"><span class="p2">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K14" title="TWOSCOMP:func.14">xor2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2">(<span class="default"><a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="enumset1.html#K4" title="ENUMSET1:func.4">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="enumset1.html#D4" title="ENUMSET1:def.4">ENUMSET1:def 4</a></span>;<br/>
<a NAME="E4:7"/>
 <a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>) <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="enumset1.html#K4" title="ENUMSET1:func.4">{</a><span class="default"><span class="p2">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K14" title="TWOSCOMP:func.14">xor2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2">(<span class="default"><a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="enumset1.html#K4" title="ENUMSET1:func.4">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="enumset1.html#D4" title="ENUMSET1:def.4">ENUMSET1:def 4</a></span>;<br/>
<a NAME="E5:7"/><span class="kw">then </span><span class="lab"><font color="Green" title="E8">A4</font></span>: 
<span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p1"><a href="enumset1.html#K4" title="ENUMSET1:func.4">{</a><span class="default"><span class="p2">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K14" title="TWOSCOMP:func.14">xor2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2">(<span class="default"><a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="enumset1.html#K4" title="ENUMSET1:func.4">}</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="zfmisc_1.html#T60" title="ZFMISC_1:th.60">ZFMISC_1:60</a></span>;<br/>
<span class="lab"><font color="Green" title="E9">A5</font></span>:  <a href="msafree2.html#K3" title="MSAFREE2:func.3">InnerVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K13" title="GFACIRC1:func.13">BitGFA0Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p4"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p5"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K14" title="TWOSCOMP:func.14">xor2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p3"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p4">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p2"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default"><span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span></span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2">(<span class="default"><a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="gfacirc1.html#T31" title="GFACIRC1:th.31">GFACIRC1:31</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K14" title="TWOSCOMP:func.14">xor2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p2"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default"><span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span></span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2">(<span class="default"><a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="enumset1.html#T1" title="ENUMSET1:th.1">ENUMSET1:1</a></span>
<br/>.= 
<span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K14" title="TWOSCOMP:func.14">xor2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><span class="p2"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default"><span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span></span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p2"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p3">(<span class="default"><a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="xboole_1.html#T4" title="XBOOLE_1:th.4">XBOOLE_1:4</a></span>
<br/>.= 
<span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><span class="p2">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K14" title="TWOSCOMP:func.14">xor2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1"><a href="enumset1.html#K2" title="ENUMSET1:func.2">{</a><span class="default"><span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2">(<span class="default"><a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="enumset1.html#K2" title="ENUMSET1:func.2">}</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="enumset1.html#T6" title="ENUMSET1:th.6">ENUMSET1:6</a></span>
<br/>.= 
<span class="p1"><a href="enumset1.html#K4" title="ENUMSET1:func.4">{</a><span class="default"><span class="p2">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K14" title="TWOSCOMP:func.14">xor2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2">(<span class="default"><a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="enumset1.html#K4" title="ENUMSET1:func.4">}</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="enumset1.html#T12" title="ENUMSET1:th.12">ENUMSET1:12</a></span>
;<br/>
<span class="kw">then </span><span class="lab"><font color="Green" title="E10">A6</font></span>: <span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default"><span class="p2">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dp</font></span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p1">(<span class="default"><a href="msafree2.html#K3" title="MSAFREE2:func.3">InnerVertices</a> <span class="p2">(<span class="default"><a href="gfacirc1.html#K13" title="GFACIRC1:func.13">BitGFA0Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p3">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p2"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dp</font></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span></span>)</span> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p1"><a href="enumset1.html#K4" title="ENUMSET1:func.4">{</a><span class="default"><span class="p2">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K14" title="TWOSCOMP:func.14">xor2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2">(<span class="default"><a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="enumset1.html#K4" title="ENUMSET1:func.4">}</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="enumset1.html#T2" title="ENUMSET1:th.2">ENUMSET1:2</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p3">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p2"><a href="enumset1.html#K4" title="ENUMSET1:func.4">{</a><span class="default"><span class="p3">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K14" title="TWOSCOMP:func.14">xor2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3">(<span class="default"><a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="enumset1.html#K4" title="ENUMSET1:func.4">}</a></span></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><span class="p2"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dp</font></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p2"><a href="enumset1.html#K4" title="ENUMSET1:func.4">{</a><span class="default"><span class="p3">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K14" title="TWOSCOMP:func.14">xor2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3">(<span class="default"><a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="enumset1.html#K4" title="ENUMSET1:func.4">}</a></span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="xboole_1.html#T42" title="XBOOLE_1:th.42">XBOOLE_1:42</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c5">cin</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p2"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c4">dp</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span></span>)</span> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p1"><a href="enumset1.html#K4" title="ENUMSET1:func.4">{</a><span class="default"><span class="p2">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K14" title="TWOSCOMP:func.14">xor2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2">(<span class="default"><a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="enumset1.html#K4" title="ENUMSET1:func.4">}</a></span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:7"><span class="lab"><font color="Green" title="E8">A4</font></span></a>, <a class="ref" href="enumset1.html#T1" title="ENUMSET1:th.1">ENUMSET1:1</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c5">cin</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p2"><a href="enumset1.html#K4" title="ENUMSET1:func.4">{</a><span class="default"><span class="p3">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K14" title="TWOSCOMP:func.14">xor2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3">(<span class="default"><a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="enumset1.html#K4" title="ENUMSET1:func.4">}</a></span></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><span class="p2"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c4">dp</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p2"><a href="enumset1.html#K4" title="ENUMSET1:func.4">{</a><span class="default"><span class="p3">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K14" title="TWOSCOMP:func.14">xor2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3">(<span class="default"><a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="enumset1.html#K4" title="ENUMSET1:func.4">}</a></span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="xboole_1.html#T42" title="XBOOLE_1:th.42">XBOOLE_1:42</a></span>
<br/>.= 
<span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c5">cin</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><span class="p2"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c4">dp</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p2"><a href="enumset1.html#K4" title="ENUMSET1:func.4">{</a><span class="default"><span class="p3">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K14" title="TWOSCOMP:func.14">xor2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p4"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p3">(<span class="default"><a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span><a href="enumset1.html#K4" title="ENUMSET1:func.4">}</a></span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:7"><span class="lab"><font color="Green" title="E6">A2</font></span></a>, <a class="txt" href="#E6:7"><span class="lab"><font color="Green" title="E9">A5</font></span></a>, <a class="ref" href="zfmisc_1.html#T59" title="ZFMISC_1:th.59">ZFMISC_1:59</a></span>
<br/>.= 
<span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c5">cin</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c4">dp</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:7"><span class="lab"><font color="Green" title="E7">A3</font></span></a>, <a class="ref" href="zfmisc_1.html#T59" title="ZFMISC_1:th.59">ZFMISC_1:59</a></span>
<br/>.= 
<span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dp</font></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="enumset1.html#T1" title="ENUMSET1:th.1">ENUMSET1:1</a></span>
;<br/>
<a NAME="E8:7"/><span class="lab"><font color="Green" title="E11">A7</font></span>: 
 <a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dp</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>,<a href="twoscomp.html#K2" title="TWOSCOMP:func.2">and2</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="ftacell1.html#E5"><span class="lab"><font color="Green" title="E2">Lm1</font></span></a></span>;<br/>
<a NAME="E9:7"/>
(  <a href="msafree2.html#K3" title="MSAFREE2:func.3">InnerVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K13" title="GFACIRC1:func.13">BitGFA0Str</a> (<span class="p2">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dp</font>)</span>)</span> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a>  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K13" title="GFACIRC1:func.13">BitGFA0Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span> &amp;  <a href="gfacirc1.html#K13" title="GFACIRC1:func.13">BitGFA0Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>) <a href="circcomb.html#R1" title="CIRCCOMB:pred.1">tolerates</a>  <a href="gfacirc1.html#K13" title="GFACIRC1:func.13">BitGFA0Str</a> (<span class="p1">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dp</font>) )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="ftacell1.html#E6"><span class="lab"><font color="Green" title="E3">Lm2</font></span></a>, <a class="ref" href="circcomb.html#T47" title="CIRCCOMB:th.47">CIRCCOMB:47</a></span>;<br/>
<span class="kw">hence </span> <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p1">(<span class="default"><a href="ftacell1.html#K1" title="FTACELL1:func.1">BitFTA0Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c4">dp</font>,<font color="Maroon" title="c5">cin</font>)</span>)</span> = 
<span class="p1">(<span class="default"><a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p2">(<span class="default"><a href="gfacirc1.html#K13" title="GFACIRC1:func.13">BitGFA0Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p3">(<span class="default"><a href="gfacirc1.html#K13" title="GFACIRC1:func.13">BitGFA0Str</a> (<span class="p4">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dp</font>)</span>)</span></span>)</span> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <span class="p2">(<span class="default"><a href="msafree2.html#K3" title="MSAFREE2:func.3">InnerVertices</a> <span class="p3">(<span class="default"><a href="gfacirc1.html#K13" title="GFACIRC1:func.13">BitGFA0Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="facirc_1.html#T4" title="FACIRC_1:th.4">FACIRC_1:4</a></span>
<br/>.= 
<span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p3">(<span class="default"><a href="gfacirc1.html#K13" title="GFACIRC1:func.13">BitGFA0Str</a> (<span class="p4">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dp</font>)</span>)</span></span>)</span> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <span class="p2">(<span class="default"><a href="msafree2.html#K3" title="MSAFREE2:func.3">InnerVertices</a> <span class="p3">(<span class="default"><a href="gfacirc1.html#K13" title="GFACIRC1:func.13">BitGFA0Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="gfacirc1.html#T34" title="GFACIRC1:th.34">GFACIRC1:34</a></span>
<br/>.= 
<span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><span class="p2"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default"><span class="p3">(<span class="default"><a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span>,<font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dp</font></span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p2">(<span class="default"><a href="msafree2.html#K3" title="MSAFREE2:func.3">InnerVertices</a> <span class="p3">(<span class="default"><a href="gfacirc1.html#K13" title="GFACIRC1:func.13">BitGFA0Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:7"><span class="lab"><font color="Green" title="E5">A1</font></span></a>, <a class="txt" href="#E8:7"><span class="lab"><font color="Green" title="E11">A7</font></span></a>, <a class="ref" href="gfacirc1.html#T33" title="GFACIRC1:th.33">GFACIRC1:33</a></span>
<br/>.= 
<span class="p1"><a href="enumset1.html#K3" title="ENUMSET1:func.3">{</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c4">dp</font>,<font color="Maroon" title="c5">cin</font></span><a href="enumset1.html#K3" title="ENUMSET1:func.3">}</a></span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:7"><span class="lab"><font color="Green" title="E10">A6</font></span></a>, <a class="ref" href="enumset1.html#T9" title="ENUMSET1:th.9">ENUMSET1:9</a></span>
;<br/> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
