theorem :: FTACELL1:27

for am, bp, cm being non pair set
for dp, cin being set
for s being State of (BitFTA2Circ (am,bp,cm,dp,cin))
for a1, a2, a3 being Element of BOOLEAN st a1 = s . am & a2 = s . bp & a3 = s . cm holds
( (Following (s,2)) . (BitFTA2CarryOutput (am,bp,cm,dp,cin)) = 'not' (((('not' a1) '&' a2) 'or' (a2 '&' ('not' a3))) 'or' (('not' a3) '&' ('not' a1))) & (Following (s,2)) . (BitFTA2AdderOutputI (am,bp,cm,dp,cin)) = (('not' a1) 'xor' a2) 'xor' ('not' a3) )