theorem
for
A,
B,
C,
D being
category for
F1,
F2 being
covariant Functor of
A,
B for
G1,
G2 being
covariant Functor of
B,
C for
H1,
H2 being
covariant Functor of
C,
D for
t being
transformation of
F1,
F2 for
s being
transformation of
G1,
G2 for
u being
transformation of
H1,
H2 st
F1 is_transformable_to F2 &
G1 is_transformable_to G2 &
H1 is_transformable_to H2 holds
(u (#) s) (#) t = u (#) (s (#) t)