lean4-htt/tests/lean/eagerCoeExpansion.lean
2021-02-14 11:34:08 -08:00

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def BV (n : Nat) := { b : Array Bool // b.size = n }
instance : Coe (BV 32) (Array Bool) where
coe bv := bv.val
def f (x : BV n) := x
def g (x : Array Bool) := x
def h (x : BV 32) : Array Bool :=
(fun x => g (f x)) x
#print h
def r (a : Nat) : Prop :=
if a == 0 then (a != 1 : Prop) else a != 2
#print r
set_option pp.all true in
#print r
structure ConstantFunction (α β : Type) :=
(f : α → β)
(h : ∀ a₁ a₂, f a₁ = f a₂)
instance constFunCoe {α β : Type} : CoeFun (ConstantFunction α β) (fun _ => α → β) :=
{ coe := fun c => c.f }
def myFun {α : Type} : ConstantFunction α (Option α) :=
{ f := fun a => none,
h := fun a₁ a₂ => rfl }
def myFun' (α : Type) : ConstantFunction α (Option α) :=
{ f := fun a => none,
h := fun a₁ a₂ => rfl }
def s :=
myFun 3 <|> myFun 4
#print s