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<b>let </b><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> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</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">ap</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <font color="Maroon" title="c2">bp</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <font color="Maroon" title="c3">cp</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <font color="Maroon" title="c4">dp</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <font color="Maroon" title="c5">cin</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp;  <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> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp;  <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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</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></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp;  <a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</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></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dp</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&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="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp;  <a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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><br/>

<b>set </b><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/>
<b>set </b><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/>
<b>set </b><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/>
<b>set </b><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/>
<b>set </b><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/>
<b>set </b><font color="Maroon" title="c11">A2</font> =  <a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</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/>
<b>set </b><font color="Maroon" title="c12">C2</font> =  <a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</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/>
<b>set </b><font color="Maroon" title="c13">apbp0</font> = <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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/>
<b>set </b><font color="Maroon" title="c14">apbp</font> = <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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/>
<b>set </b><font color="Maroon" title="c15">bpcp</font> = <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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/>
<b>set </b><font color="Maroon" title="c16">cpap</font> = <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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/>
<b>set </b><font color="Maroon" title="c17">A1cin0</font> = <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</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></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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/>
<b>set </b><font color="Maroon" title="c18">A1cin</font> = <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</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></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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/>
<b>set </b><font color="Maroon" title="c19">cindp</font> = <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dp</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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/>
<b>set </b><font color="Maroon" title="c20">dpA1</font> = <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&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="facirc_1.html#K6" title="FACIRC_1:func.6">*&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/>
<a NAME="E1:8"/><i><font color="Green" title="E6">A1</font></i>: 
( <font color="Maroon" title="c1">ap</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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; <font color="Maroon" title="c2">bp</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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; <font color="Maroon" title="c3">cp</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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#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> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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#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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> )
 
<b>by </b><i><a class="ref" href="gfacirc1.html#T44" title="GFACIRC1:th.44">GFACIRC1:44</a></i>;<br/>
<a NAME="E2:8"/>
(  <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> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <font color="Maroon" title="c5">cin</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <font color="Maroon" title="c4">dp</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</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></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp;  <a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</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></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dp</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&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="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp;  <a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> )
 
<b>by </b><i><a class="ref" href="gfacirc1.html#T44" title="GFACIRC1:th.44">GFACIRC1:44</a></i>;<br/>
<b>hence </b><a NAME="E3:8"/>
( <font color="Maroon" title="c1">ap</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <font color="Maroon" title="c2">bp</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <font color="Maroon" title="c3">cp</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <font color="Maroon" title="c4">dp</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <font color="Maroon" title="c5">cin</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp;  <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> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bp</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c2">bp</font>,<font color="Maroon" title="c3">cp</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c3">cp</font>,<font color="Maroon" title="c1">ap</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp;  <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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</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></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp;  <a href="gfacirc1.html#K12" title="GFACIRC1:func.12">GFA0AdderOutput</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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</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></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dp</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&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="facirc_1.html#K6" title="FACIRC_1:func.6">*&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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp;  <a href="gfacirc1.html#K9" title="GFACIRC1:func.9">GFA0CarryOutput</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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> )
 <b>by </b><i><a class="txt" href="#E1:8"><i><font color="Green" title="E6">A1</font></i></a>, <a class="ref" href="facirc_1.html#T20" title="FACIRC_1:th.20">FACIRC_1:20</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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