mflatMapt
mflatMapt is a hypothetical higher‑order function used in functional programming to map a function over the contents of a monadic container and then flatten the resulting structure. It combines ideas from flatMap, sequence, and traverse and is defined in terms of a monad m and a container of elements a.
In a Haskell‑like type system, its standard form is:
mflatMapt :: Monad m => m [a] -> (a -> m [b]) -> m [b]
The function takes a monadic value containing a list of a, and a function f that maps
A common implementation pattern is:
mflatMapt mas f = mas >>= \xs -> mapM f xs >>= join
Equivalently, using sequence and fmap:
mflatMapt mas f = mas >>= \xs -> fmap concat (sequence (fmap f xs))
Observation: If the outer monad or the inner results can fail (for example, Maybe or Either), mflatMapt
Relation and variations: mflatMapt is related to flatMap, bind, and traversals over monadic containers. In languages
Notes: The suffix t in mflatMapt commonly signals a variant involving traversal through a container or