--| Only keep elements of the list where the supplied function returns `True`
let filter
    : ∀(a : Type) → (a → Bool) → List a → List a
    = λ(a : Type) →
      λ(f : a → Bool) →
      λ(xs : List a) →
        List/build
          a
          ( λ(list : Type) →
            λ(cons : a → list → list) →
              List/fold
                a
                xs
                list
                (λ(x : a) → λ(xs : list) → if f x then cons x xs else xs)
          )

let example0 = assert : filter Natural Natural/even [ 2, 3, 5 ] ≡ [ 2 ]

let example1 = assert : filter Natural Natural/odd [ 2, 3, 5 ] ≡ [ 3, 5 ]

in  filter