/Prelude-v22.0.0/Natural/lessThanEqual.dhall

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lessThanEqual checks if one Natural is less than or equal to another.

Examples

lessThanEqual 5 6 ≡ True
lessThanEqual 5 5 ≡ True
lessThanEqual 5 4 ≡ False

Source

--| `lessThanEqual` checks if one Natural is less than or equal to another.
let lessThanEqual
: Natural → Natural → Bool
= λ(x : Natural) → λ(y : Natural) → Natural/isZero (Natural/subtract y x)

let example0 = assert : lessThanEqual 5 6 ≡ True

let example1 = assert : lessThanEqual 5 5 ≡ True

let example2 = assert : lessThanEqual 5 4 ≡ False

let property0 = λ(n : Natural) → assert : lessThanEqual 0 n ≡ True

let property1 = λ(n : Natural) → assert : lessThanEqual n n ≡ True

in lessThanEqual