lean2/tests/lean/run/coe10.lean
2014-10-02 17:55:34 -07:00

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import data.nat
open nat
inductive fn2 (A B C : Type) :=
mk : (A → C) → (B → C) → fn2 A B C
definition to_ac [coercion] {A B C : Type} (f : fn2 A B C) : A → C :=
fn2.rec (λ f g, f) f
definition to_bc [coercion] {A B C : Type} (f : fn2 A B C) : B → C :=
fn2.rec (λ f g, g) f
constant f : fn2 Prop nat nat
constant a : Prop
constant n : nat
check f a
check f n