theorem Th20:
for
x,
y,
z being
set for
s being
State of
(GFA0CarryCirc (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*>,and2] = a1 '&' a2 &
(Following s) . [<*y,z*>,and2] = a2 '&' a3 &
(Following s) . [<*z,x*>,and2] = a3 '&' a1 )