
theorem Th58:
  for x,y,z being set st z <> [<*x,y*>, xor2c] holds x in
InputVertices GFA1AdderStr(x,y,z) & y in InputVertices GFA1AdderStr(x,y,z) & z
  in InputVertices GFA1AdderStr(x,y,z)
proof
  set f = xor2c;
  let x,y,z be set such that
A1: z <> [<*x,y*>,f];
  set S = GFA1AdderStr(x,y,z);
  InputVertices S = {x,y,z} by A1,FACIRC_1:57;
  hence thesis by ENUMSET1:def 1;
end;
