theorem Th37:
for
C,
D,
E being non
empty set for
f,
f9 being
Function of
C,
D for
h being
Function of
D,
E for
F being
BinOp of
D for
H being
BinOp of
E st ( for
d1,
d2 being
Element of
D holds
h . (F . (d1,d2)) = H . (
(h . d1),
(h . d2)) ) holds
h * (F .: (f,f9)) = H .: (
(h * f),
(h * f9))