
theorem
  for x,y,z being set holds x in the carrier of GFA3AdderStr(x,y,z) & y
in the carrier of GFA3AdderStr(x,y,z) & z in the carrier of GFA3AdderStr(x,y,z)
& [<*x,y*>,xor2] in the carrier of GFA3AdderStr(x,y,z) & [<*[<*x,y*>,xor2], z*>
  , xor2] in the carrier of GFA3AdderStr(x,y,z) by FACIRC_1:60,61;
