theorem Th115: :: GFACIRC1:115

for x, y, z being set
for s being State of (GFA3CarryCirc (x,y,z))
for a1, a2, a3 being Element of BOOLEAN st a1 = s . x & a2 = s . y & a3 = s . z holds
( (Following s) . [<*x,y*>,nor2] = ('not' a1) '&' ('not' a2) & (Following s) . [<*y,z*>,nor2] = ('not' a2) '&' ('not' a3) & (Following s) . [<*z,x*>,nor2] = ('not' a3) '&' ('not' a1) )