theorem
for
x,
y,
z being
Element of
BOOLEAN holds
(
or3 . <*x,y,z*> = (x 'or' y) 'or' z &
or3a . <*x,y,z*> = (('not' x) 'or' y) 'or' z &
or3b . <*x,y,z*> = (('not' x) 'or' ('not' y)) 'or' z &
nand3 . <*x,y,z*> = (('not' x) 'or' ('not' y)) 'or' ('not' z) )
by FACIRC_1:def 7, Def15, Def16, Lm6;