let x, y, z be set ; :: thesis: for p being set holds GFA0AdderOutput (x,y,z) <> [p,and2]
let p be set ; :: thesis: GFA0AdderOutput (x,y,z) <> [p,and2]
set A1 = GFA0AdderOutput (x,y,z);
(GFA0AdderOutput (x,y,z)) `2 = xor2 ;
then [p,and2] `2 <> (GFA0AdderOutput (x,y,z)) `2 by TWOSCOMP:9, TWOSCOMP:11;
hence GFA0AdderOutput (x,y,z) <> [p,and2] ; :: thesis: verum