lean4-htt/tests/lean/run/CoeNew.lean
Leonardo de Moura e4a3b434d7 chore: moving tests to new frontend
@Kha The transition has begun :)
I found and fixed a few bugs, but it is going well so far.
2020-09-10 18:00:34 -07:00

30 lines
750 B
Text
Raw Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

new_frontend
universes u v w
instance boolToNat : Coe Bool Nat :=
{ coe := fun b => cond b 1 0 }
instance natToBool : Coe Nat Bool :=
{ coe := fun n => match n with
| 0 => false
| _ => true }
structure ConstantFunction (α β : Type) :=
(f : α → β)
(h : ∀ a₁ a₂, f a₁ = f a₂)
instance constantFunctionCoe {α β : Type} : CoeFun (ConstantFunction α β) (fun _ => α → β) :=
{ coe := fun c => c.f }
set_option pp.implicit true
#synth CoeT { x : Nat // x > 0 } ⟨1, sorryAx _⟩ Nat
#synth CoeT { x : Nat // x > 0 } ⟨1, sorryAx _⟩ Bool
#synth CoeT Nat 0 (Option Nat)
#synth CoeT Bool true (Option Nat)
#synth CoeT Prop (0 = 1) Bool
#synth CoeT Bool true (Option Nat)
def f (c : ConstantFunction Nat Nat) : Nat :=
c 0