# (a -> b -> c) -> f a -> f b -> f c -containers

Promote a function to a monad, scanning the monadic arguments from left to right. For example, > liftM2 (+) [0,1] [0,2] = [0,2,1,3] > liftM2 (+) (Just 1) Nothing = Nothing
Lift a binary function to actions.
zipWith generalises zip by zipping with the function given as the first argument, instead of a tupling function. For example, zipWith (+) is applied to two lists to produce the list of corresponding sums.
scanl is similar to foldl, but returns a list of successive reduced values from the left: > scanl f z [x1, x2, ...] == [z, z `f` x1, (z `f` x1) `f` x2, ...] Note that > last (scanl f z xs) == foldl f z xs.
scanr is the right-to-left dual of scanl. Note that > head (scanr f z xs) == foldr f z xs.
flip f takes its (first) two arguments in the reverse order of f.
Fold over the elements of a structure, associating to the left, but strictly.
The deleteFirstsBy function takes a predicate and two lists and returns the first list with the first occurrence of each element of the second list removed.
The intersectBy function is the non-overloaded version of intersect.
The unionBy function is the non-overloaded version of union.
foldl, applied to a binary operator, a starting value (typically the left-identity of the operator), and a list, reduces the list using the binary operator, from left to right: > foldl f z [x1, x2, ..., xn] == (...((z `f` x1) `f` x2) `f`...) `f` xn The list must be finite.
A strict version of foldl.
Fold over the elements of a structure, associating to the right, but strictly.
foldr, applied to a binary operator, a starting value (typically the right-identity of the operator), and a list, reduces the list using the binary operator, from right to left: > foldr f z [x1, x2, ..., xn] == x1 `f` (x2 `f` ... (xn `f` z)...)
The deleteBy function behaves like delete, but takes a user-supplied equality predicate.