/Prelude-v23.0.0/List/all.dhall
Copy path to clipboardReturns True
if the supplied function returns True
for all elements in the
List
Examples
all Natural Natural/even [ 2, 3, 5 ] ≡ False
all Natural Natural/even ([] : List Natural) ≡ True
Source
{-|
Returns `True` if the supplied function returns `True` for all elements in the
`List`
-}
let all
: ∀(a : Type) → (a → Bool) → List a → Bool
= λ(a : Type) →
λ(f : a → Bool) →
λ(xs : List a) →
List/fold a xs Bool (λ(x : a) → λ(r : Bool) → f x && r) True
let example0 = assert : all Natural Natural/even [ 2, 3, 5 ] ≡ False
let example1 = assert : all Natural Natural/even ([] : List Natural) ≡ True
in all