let x, y, z be set ; ( [<*x,y*>,xor2] in InnerVertices (GFA3AdderStr (x,y,z)) & GFA3AdderOutput (x,y,z) in InnerVertices (GFA3AdderStr (x,y,z)) )
set S0 = GFA0AdderStr (x,y,z);
GFA3AdderStr (x,y,z) = GFA0AdderStr (x,y,z)
;
hence
( [<*x,y*>,xor2] in InnerVertices (GFA3AdderStr (x,y,z)) & GFA3AdderOutput (x,y,z) in InnerVertices (GFA3AdderStr (x,y,z)) )
by Th26; verum