theorem Th113: :: GFACIRC1:113
for x, y, z being set st x <> [<*y,z*>,nor2] & y <> [<*z,x*>,nor2] & z <> [<*x,y*>,nor2] holds
( x in InputVertices (GFA3CarryStr (x,y,z)) & y in InputVertices (GFA3CarryStr (x,y,z)) & z in InputVertices (GFA3CarryStr (x,y,z)) )