for x, y, z being set holds
( x in the carrier of (BitGFA2Str (x,y,z)) & y in the carrier of (BitGFA2Str (x,y,z)) & z in the carrier of (BitGFA2Str (x,y,z)) & [<*x,y*>,xor2c] in the carrier of (BitGFA2Str (x,y,z)) & [<*[<*x,y*>,xor2c],z*>,xor2c] in the carrier of (BitGFA2Str (x,y,z)) & [<*x,y*>,and2a] in the carrier of (BitGFA2Str (x,y,z)) & [<*y,z*>,and2c] in the carrier of (BitGFA2Str (x,y,z)) & [<*z,x*>,nor2] in the carrier of (BitGFA2Str (x,y,z)) & [<*[<*x,y*>,and2a],[<*y,z*>,and2c],[<*z,x*>,nor2]*>,nor3] in the carrier of (BitGFA2Str (x,y,z)) )