luau/prototyping/Examples/Type.agda

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module Examples.Type where
open import Agda.Builtin.Equality using (_≡_; refl)
open import FFI.Data.String using (_++_)
open import Luau.Type using (nil; __; _∩_; _⇒_)
open import Luau.Type.ToString using (typeToString)
ex1 : typeToString(nil) "nil"
ex1 = refl
ex2 : typeToString(nil nil) "(nil) -> nil"
ex2 = refl
ex3 : typeToString(nil (nil nil)) "(nil) -> (nil) -> nil"
ex3 = refl
ex4 : typeToString(nil (nil (nil nil))) "((nil) -> (nil) -> nil)?"
ex4 = refl
ex5 : typeToString(nil ((nil nil) nil)) "(nil) -> ((nil) -> nil)?"
ex5 = refl
ex6 : typeToString((nil nil) (nil (nil nil))) "((nil) -> nil | (nil) -> (nil) -> nil)"
ex6 = refl
ex7 : typeToString((nil nil) ((nil (nil nil)) nil)) "((nil) -> nil | (nil) -> (nil) -> nil)?"
ex7 = refl