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<b>let </b><font color="Maroon" title="c1">am</font>, <font color="Maroon" title="c2">bm</font>, <font color="Maroon" title="c3">cm</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:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">dm</font>, <font color="Olive" title="b2">cin</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <br/> for <font color="Olive" title="b3">s</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <span class="p1">(<span class="default"><a href="ftacell1.html#K20" title="FTACELL1:func.20">BitFTA3Circ</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>,<font color="Olive" title="b1">dm</font>,<font color="Olive" title="b2">cin</font></span>)</span><br/> for <font color="Olive" title="b4">a1</font>, <font color="Olive" title="b5">a2</font>, <font color="Olive" title="b6">a3</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="circcomb.html#K10" title="CIRCCOMB:func.10">BOOLEAN</a>   st <font color="Olive" title="b4">a1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">am</font> &amp; <font color="Olive" title="b5">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">bm</font> &amp; <font color="Olive" title="b6">a3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">cm</font> holds <br/>( <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Olive" title="b3">s</font>,2</span>)</span> <a href="twoscomp.html#K1" title="TWOSCOMP:func.1">.</a> <span class="p1">(<span class="default"><a href="ftacell1.html#K21" title="FTACELL1:func.21">BitFTA3CarryOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>,<font color="Olive" title="b1">dm</font>,<font color="Olive" title="b2">cin</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b4">a1</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b5">a2</font></span>)</span></span>)</span> <a href="binarith.html#K1" title="BINARITH:func.1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b5">a2</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b6">a3</font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1" title="BINARITH:func.1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b6">a3</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b4">a1</font></span>)</span></span>)</span></span>)</span> &amp; <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Olive" title="b3">s</font>,2</span>)</span> <a href="twoscomp.html#K1" title="TWOSCOMP:func.1">.</a> <span class="p1">(<span class="default"><a href="ftacell1.html#K22" title="FTACELL1:func.22">BitFTA3AdderOutputI</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>,<font color="Olive" title="b1">dm</font>,<font color="Olive" title="b2">cin</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b4">a1</font></span>)</span> <a href="binarith.html#K2" title="BINARITH:func.2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b5">a2</font></span>)</span></span>)</span> <a href="binarith.html#K2" title="BINARITH:func.2">'xor'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b6">a3</font></span>)</span></span>)</span> )</span><br/><b>let </b><font color="Maroon" title="c4">dm</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"> for <font color="Olive" title="b1">s</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <span class="p1">(<span class="default"><a href="ftacell1.html#K20" title="FTACELL1:func.20">BitFTA3Circ</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>,<font color="Maroon" title="c4">dm</font>,<font color="Maroon" title="c5">cin</font></span>)</span><br/> for <font color="Olive" title="b2">a1</font>, <font color="Olive" title="b3">a2</font>, <font color="Olive" title="b4">a3</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="circcomb.html#K10" title="CIRCCOMB:func.10">BOOLEAN</a>   st <font color="Olive" title="b2">a1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">am</font> &amp; <font color="Olive" title="b3">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">bm</font> &amp; <font color="Olive" title="b4">a3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">cm</font> holds <br/>( <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Olive" title="b1">s</font>,2</span>)</span> <a href="twoscomp.html#K1" title="TWOSCOMP:func.1">.</a> <span class="p1">(<span class="default"><a href="ftacell1.html#K21" title="FTACELL1:func.21">BitFTA3CarryOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>,<font color="Maroon" title="c4">dm</font>,<font color="Maroon" title="c5">cin</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b2">a1</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b3">a2</font></span>)</span></span>)</span> <a href="binarith.html#K1" title="BINARITH:func.1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b3">a2</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b4">a3</font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1" title="BINARITH:func.1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b4">a3</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b2">a1</font></span>)</span></span>)</span></span>)</span> &amp; <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Olive" title="b1">s</font>,2</span>)</span> <a href="twoscomp.html#K1" title="TWOSCOMP:func.1">.</a> <span class="p1">(<span class="default"><a href="ftacell1.html#K22" title="FTACELL1:func.22">BitFTA3AdderOutputI</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>,<font color="Maroon" title="c4">dm</font>,<font color="Maroon" title="c5">cin</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b2">a1</font></span>)</span> <a href="binarith.html#K2" title="BINARITH:func.2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b3">a2</font></span>)</span></span>)</span> <a href="binarith.html#K2" title="BINARITH:func.2">'xor'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b4">a3</font></span>)</span></span>)</span> )</span><br/><b>let </b><font color="Maroon" title="c6">s</font> be   <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <span class="p1">(<span class="default"><a href="ftacell1.html#K20" title="FTACELL1:func.20">BitFTA3Circ</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>,<font color="Maroon" title="c4">dm</font>,<font color="Maroon" title="c5">cin</font></span>)</span>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">a1</font>, <font color="Olive" title="b2">a2</font>, <font color="Olive" title="b3">a3</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="circcomb.html#K10" title="CIRCCOMB:func.10">BOOLEAN</a>   st <font color="Olive" title="b1">a1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">am</font> &amp; <font color="Olive" title="b2">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">bm</font> &amp; <font color="Olive" title="b3">a3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">cm</font> holds <br/>( <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c6">s</font>,2</span>)</span> <a href="twoscomp.html#K1" title="TWOSCOMP:func.1">.</a> <span class="p1">(<span class="default"><a href="ftacell1.html#K21" title="FTACELL1:func.21">BitFTA3CarryOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>,<font color="Maroon" title="c4">dm</font>,<font color="Maroon" title="c5">cin</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b1">a1</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b2">a2</font></span>)</span></span>)</span> <a href="binarith.html#K1" title="BINARITH:func.1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b2">a2</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b3">a3</font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1" title="BINARITH:func.1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b3">a3</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b1">a1</font></span>)</span></span>)</span></span>)</span> &amp; <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c6">s</font>,2</span>)</span> <a href="twoscomp.html#K1" title="TWOSCOMP:func.1">.</a> <span class="p1">(<span class="default"><a href="ftacell1.html#K22" title="FTACELL1:func.22">BitFTA3AdderOutputI</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>,<font color="Maroon" title="c4">dm</font>,<font color="Maroon" title="c5">cin</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b1">a1</font></span>)</span> <a href="binarith.html#K2" title="BINARITH:func.2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b2">a2</font></span>)</span></span>)</span> <a href="binarith.html#K2" title="BINARITH:func.2">'xor'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Olive" title="b3">a3</font></span>)</span></span>)</span> )</span><br/>





<b>set </b><font color="Maroon" title="c7">S1</font> =  <a href="gfacirc1.html#K49" title="GFACIRC1:func.49">BitGFA3Str</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>;<br/>
<b>set </b><font color="Maroon" title="c8">C1</font> =  <a href="gfacirc1.html#K50" title="GFACIRC1:func.50">BitGFA3Circ</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>;<br/>
<b>set </b><font color="Maroon" title="c9">A1</font> =  <a href="gfacirc1.html#K48" title="GFACIRC1:func.48">GFA3AdderOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>;<br/>
<b>set </b><font color="Maroon" title="c10">A2</font> =  <a href="gfacirc1.html#K45" title="GFACIRC1:func.45">GFA3CarryOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>;<br/>
<b>set </b><font color="Maroon" title="c11">S2</font> =  <a href="gfacirc1.html#K49" title="GFACIRC1:func.49">BitGFA3Str</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K48" title="GFACIRC1:func.48">GFA3AdderOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span>,<font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dm</font>;<br/>
<b>set </b><font color="Maroon" title="c12">C2</font> =  <a href="gfacirc1.html#K50" title="GFACIRC1:func.50">BitGFA3Circ</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K48" title="GFACIRC1:func.48">GFA3AdderOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span>,<font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dm</font>;<br/>
<b>let </b><font color="Maroon" title="c13">a1</font>, <font color="Maroon" title="c14">a2</font>, <font color="Maroon" title="c15">a3</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="circcomb.html#K10" title="CIRCCOMB:func.10">BOOLEAN</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c13">a1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">am</font> &amp; <font color="Maroon" title="c14">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">bm</font> &amp; <font color="Maroon" title="c15">a3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">cm</font> implies ( <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c6">s</font>,2</span>)</span> <a href="twoscomp.html#K1" title="TWOSCOMP:func.1">.</a> <span class="p1">(<span class="default"><a href="ftacell1.html#K21" title="FTACELL1:func.21">BitFTA3CarryOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>,<font color="Maroon" title="c4">dm</font>,<font color="Maroon" title="c5">cin</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c13">a1</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c14">a2</font></span>)</span></span>)</span> <a href="binarith.html#K1" title="BINARITH:func.1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c14">a2</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c15">a3</font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1" title="BINARITH:func.1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c15">a3</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c13">a1</font></span>)</span></span>)</span></span>)</span> &amp; <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c6">s</font>,2</span>)</span> <a href="twoscomp.html#K1" title="TWOSCOMP:func.1">.</a> <span class="p1">(<span class="default"><a href="ftacell1.html#K22" title="FTACELL1:func.22">BitFTA3AdderOutputI</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>,<font color="Maroon" title="c4">dm</font>,<font color="Maroon" title="c5">cin</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c13">a1</font></span>)</span> <a href="binarith.html#K2" title="BINARITH:func.2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c14">a2</font></span>)</span></span>)</span> <a href="binarith.html#K2" title="BINARITH:func.2">'xor'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c15">a3</font></span>)</span></span>)</span> ) )</span><br/>

<b>assume </b><a NAME="E1:78"/><i><font color="Green" title="E56">A1</font></i>: 
( <font color="Maroon" title="c13">a1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">am</font> &amp; <font color="Maroon" title="c14">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">bm</font> &amp; <font color="Maroon" title="c15">a3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">cm</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c6">s</font>,2</span>)</span> <a href="twoscomp.html#K1" title="TWOSCOMP:func.1">.</a> <span class="p1">(<span class="default"><a href="ftacell1.html#K21" title="FTACELL1:func.21">BitFTA3CarryOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>,<font color="Maroon" title="c4">dm</font>,<font color="Maroon" title="c5">cin</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c13">a1</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c14">a2</font></span>)</span></span>)</span> <a href="binarith.html#K1" title="BINARITH:func.1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c14">a2</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c15">a3</font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1" title="BINARITH:func.1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c15">a3</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c13">a1</font></span>)</span></span>)</span></span>)</span> &amp; <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c6">s</font>,2</span>)</span> <a href="twoscomp.html#K1" title="TWOSCOMP:func.1">.</a> <span class="p1">(<span class="default"><a href="ftacell1.html#K22" title="FTACELL1:func.22">BitFTA3AdderOutputI</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>,<font color="Maroon" title="c4">dm</font>,<font color="Maroon" title="c5">cin</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c13">a1</font></span>)</span> <a href="binarith.html#K2" title="BINARITH:func.2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c14">a2</font></span>)</span></span>)</span> <a href="binarith.html#K2" title="BINARITH:func.2">'xor'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c15">a3</font></span>)</span></span>)</span> )</span><br/>

<a NAME="E2:78"/><i><font color="Green" title="E57">A2</font></i>: 
( <font color="Maroon" title="c1">am</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#K49" title="GFACIRC1:func.49">BitGFA3Str</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span> &amp; <font color="Maroon" title="c2">bm</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#K49" title="GFACIRC1:func.49">BitGFA3Str</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span> &amp; <font color="Maroon" title="c3">cm</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#K49" title="GFACIRC1:func.49">BitGFA3Str</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span> )
 
<b>by </b><i><a class="ref" href="gfacirc1.html#T155" title="GFACIRC1:th.155">GFACIRC1:155</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c16">s1</font> = <font color="Maroon" title="c6">s</font> <a href="card_3.html#K11" title="CARD_3:func.11">|</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#K49" title="GFACIRC1:func.49">BitGFA3Str</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span> as   <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <span class="p1">(<span class="default"><a href="gfacirc1.html#K50" title="GFACIRC1:func.50">BitGFA3Circ</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span> <b>by </b><i><a class="ref" href="facirc_1.html#T26" title="FACIRC_1:th.26">FACIRC_1:26</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c17">t</font> = <font color="Maroon" title="c6">s</font> as   <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="gfacirc1.html#K50" title="GFACIRC1:func.50">BitGFA3Circ</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span> <a href="circcomb.html#K5" title="CIRCCOMB:func.5">+*</a> <span class="p2">(<span class="default"><a href="gfacirc1.html#K50" title="GFACIRC1:func.50">BitGFA3Circ</a> <span class="p3">(<span class="default"><a href="gfacirc1.html#K48" title="GFACIRC1:func.48">GFA3AdderOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span>,<font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dm</font></span>)</span></span>)</span> ;<br/>
<a NAME="E5:78"/><i><font color="Green" title="E58">A3</font></i>: 
(  <a href="gfacirc1.html#K48" title="GFACIRC1:func.48">GFA3AdderOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</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#K49" title="GFACIRC1:func.49">BitGFA3Str</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span> &amp;  <a href="gfacirc1.html#K45" title="GFACIRC1:func.45">GFA3CarryOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</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#K49" title="GFACIRC1:func.49">BitGFA3Str</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span> )
 
<b>by </b><i><a class="ref" href="gfacirc1.html#T155" title="GFACIRC1:th.155">GFACIRC1:155</a></i>;<br/>
<a NAME="E6:78"/><i><font color="Green" title="E59">A4</font></i>: 
 <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K49" title="GFACIRC1:func.49">BitGFA3Str</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a>  <a href="msafree2.html#K4" title="MSAFREE2:func.4">InnerVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K49" title="GFACIRC1:func.49">BitGFA3Str</a> <span class="p2">(<span class="default"><a href="gfacirc1.html#K48" title="GFACIRC1:func.48">GFA3AdderOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span>,<font color="Maroon" title="c5">cin</font>,<font color="Maroon" title="c4">dm</font></span>)</span>
 
<b>by </b><i><a class="txt" href="ftacell1.html#E84"><i><font color="Green" title="E51">LemmaX42</font></i></a></i>;<br/>
<a NAME="E7:78"/>
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c16">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</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#K49" title="GFACIRC1:func.49">BitGFA3Str</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span>
 
<b>by </b><i><a class="ref" href="circuit1.html#T4" title="CIRCUIT1:th.4">CIRCUIT1:4</a></i>;<br/>
<a NAME="E8:78"/><b>then </b><i><font color="Green" title="E60">A5</font></i>: 
( <font color="Maroon" title="c13">a1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c16">s1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">am</font> &amp; <font color="Maroon" title="c14">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c16">s1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">bm</font> &amp; <font color="Maroon" title="c15">a3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c16">s1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">cm</font> )
 
<b>by </b><i><a class="txt" href="#E1:78"><i><font color="Green" title="E56">A1</font></i></a>, <a class="txt" href="#E2:78"><i><font color="Green" title="E57">A2</font></i></a>, <a class="ref" href="funct_1.html#T70" title="FUNCT_1:th.70">FUNCT_1:70</a></i>;<br/>
<a NAME="E9:78"/><b>then </b>
( <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c17">t</font>,2</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K45" title="GFACIRC1:func.45">GFA3CarryOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c16">s1</font>,2</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K45" title="GFACIRC1:func.45">GFA3CarryOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span> &amp; <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c16">s1</font>,2</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K45" title="GFACIRC1:func.45">GFA3CarryOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c13">a1</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c14">a2</font></span>)</span></span>)</span> <a href="binarith.html#K1" title="BINARITH:func.1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c14">a2</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c15">a3</font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1" title="BINARITH:func.1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c15">a3</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c13">a1</font></span>)</span></span>)</span></span>)</span> )
 
<b>by </b><i><a class="txt" href="#E5:78"><i><font color="Green" title="E58">A3</font></i></a>, <a class="txt" href="#E6:78"><i><font color="Green" title="E59">A4</font></i></a>, <a class="ref" href="facirc_1.html#T32" title="FACIRC_1:th.32">FACIRC_1:32</a>, <a class="ref" href="gfacirc1.html#T158" title="GFACIRC1:th.158">GFACIRC1:158</a></i>;<br/>
<b>hence </b><a NAME="E10:78"/>
<span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c6">s</font>,2</span>)</span> <a href="twoscomp.html#K1" title="TWOSCOMP:func.1">.</a> <span class="p1">(<span class="default"><a href="ftacell1.html#K21" title="FTACELL1:func.21">BitFTA3CarryOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>,<font color="Maroon" title="c4">dm</font>,<font color="Maroon" title="c5">cin</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c13">a1</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c14">a2</font></span>)</span></span>)</span> <a href="binarith.html#K1" title="BINARITH:func.1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c14">a2</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c15">a3</font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1" title="BINARITH:func.1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c15">a3</font></span>)</span> <a href="margrel1.html#K10" title="MARGREL1:func.10">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c13">a1</font></span>)</span></span>)</span></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c6">s</font>,2</span>)</span> <a href="twoscomp.html#K1" title="TWOSCOMP:func.1">.</a> <span class="p1">(<span class="default"><a href="ftacell1.html#K22" title="FTACELL1:func.22">BitFTA3AdderOutputI</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>,<font color="Maroon" title="c4">dm</font>,<font color="Maroon" title="c5">cin</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c13">a1</font></span>)</span> <a href="binarith.html#K2" title="BINARITH:func.2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c14">a2</font></span>)</span></span>)</span> <a href="binarith.html#K2" title="BINARITH:func.2">'xor'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c15">a3</font></span>)</span></span>)</span></span><br/>

<a NAME="E11:78"/>
( <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c17">t</font>,2</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K48" title="GFACIRC1:func.48">GFA3AdderOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c16">s1</font>,2</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K48" title="GFACIRC1:func.48">GFA3AdderOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span> &amp; <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c16">s1</font>,2</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K48" title="GFACIRC1:func.48">GFA3AdderOutput</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c13">a1</font></span>)</span> <a href="binarith.html#K2" title="BINARITH:func.2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c14">a2</font></span>)</span></span>)</span> <a href="binarith.html#K2" title="BINARITH:func.2">'xor'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c15">a3</font></span>)</span></span>)</span> )
 
<b>by </b><i><a class="txt" href="#E5:78"><i><font color="Green" title="E58">A3</font></i></a>, <a class="txt" href="#E6:78"><i><font color="Green" title="E59">A4</font></i></a>, <a class="txt" href="#E8:78"><i><font color="Green" title="E60">A5</font></i></a>, <a class="ref" href="facirc_1.html#T32" title="FACIRC_1:th.32">FACIRC_1:32</a>, <a class="ref" href="gfacirc1.html#T158" title="GFACIRC1:th.158">GFACIRC1:158</a></i>;<br/>
<b>hence </b><a NAME="E12:78"/>
<span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c6">s</font>,2</span>)</span> <a href="twoscomp.html#K1" title="TWOSCOMP:func.1">.</a> <span class="p1">(<span class="default"><a href="ftacell1.html#K22" title="FTACELL1:func.22">BitFTA3AdderOutputI</a> <font color="Maroon" title="c1">am</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cm</font>,<font color="Maroon" title="c4">dm</font>,<font color="Maroon" title="c5">cin</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c13">a1</font></span>)</span> <a href="binarith.html#K2" title="BINARITH:func.2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c14">a2</font></span>)</span></span>)</span> <a href="binarith.html#K2" title="BINARITH:func.2">'xor'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9" title="MARGREL1:func.9">'not'</a> <font color="Maroon" title="c15">a3</font></span>)</span></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
