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- module Examples where
- data Nat : Set where
- zero : Nat
- suc : Nat -> Nat
- data Bool : Set where
- true : Bool
- false : Bool
- if_then_else_ : {A : Set} -> Bool -> A -> A -> A
- if true then x else y = x
- if false then x else y = y
- not : Bool -> Bool
- not x = if x then false else true
- isZero : Nat -> Bool
- isZero zero = true
- isZero (suc _) = false
- F : Bool -> Set
- F true = Nat
- F false = Bool
- f : (x : Bool) -> F x -> F (not x)
- f true n = isZero n
- f false b = if b then zero else suc zero
- test : Bool
- test = f ? zero
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