lean2/tests/lean/run/coe13.lean

30 lines
558 B
Text
Raw Normal View History

import data.nat
open nat
inductive functor (A B : Type) :=
mk : (A → B) → functor A B
definition functor.to_fun [coercion] {A B : Type} (f : functor A B) : A → B :=
functor.rec (λ f, f) f
inductive struct :=
mk : Π (A : Type), (A → A → Prop) → struct
definition struct.to_sort [coercion] (s : struct) : Type :=
struct.rec (λA r, A) s
definition g (f : nat → nat) (a : nat) := f a
constant f : functor nat nat
check g (functor.to_fun f) 0
check g f 0
constant S : struct
constant a : S
2015-11-21 00:46:10 +00:00
check @id (struct.to_sort S) a
check @id S a