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concatMap Natural Natural (λ(n : Natural) → [ n, n ]) [ 2, 3, 5 ]
≡ [ 2, 2, 3, 3, 5, 5 ]
concatMap Natural Natural (λ(n : Natural) → [ n, n ]) ([] : List Natural)
≡ ([] : List Natural)
Source
{-
Transform a list by applying a function to each element and flattening the
results
-}
let concatMap
: ∀(a : Type) → ∀(b : Type) → (a → List b) → List a → List b
= λ(a : Type)
→ λ(b : Type)
→ λ(f : a → List b)
→ λ(xs : List a)
→ List/build
b
( λ(list : Type)
→ λ(cons : b → list → list)
→ List/fold a xs list (λ(x : a) → List/fold b (f x) list cons)
)
let example0 =
assert
: concatMap Natural Natural (λ(n : Natural) → [ n, n ]) [ 2, 3, 5 ]
≡ [ 2, 2, 3, 3, 5, 5 ]
let example1 =
assert
: concatMap
Natural
Natural
(λ(n : Natural) → [ n, n ])
([] : List Natural)
≡ ([] : List Natural)
in concatMap