theorem
for
x,
y,
z being
set st
z <> [<*x,y*>,xor2c] holds
for
s being
State of
(GFA2AdderCirc (x,y,z)) for
a1a2,
a1,
a2,
a3 being
Element of
BOOLEAN st
a1a2 = s . [<*x,y*>,xor2c] &
a1 = s . x &
a2 = s . y &
a3 = s . z holds
(Following s) . (GFA2AdderOutput (x,y,z)) = a1a2 'xor' ('not' a3)