59acf01bc9
The new options `relaxedAutoBoundImplicitLocal` can be used to disable this feature. closes #1011
72 lines
2.3 KiB
Text
72 lines
2.3 KiB
Text
def myid (a : α) := a -- works
|
||
set_option relaxedAutoBoundImplicitLocal false
|
||
#check myid 10
|
||
#check myid true
|
||
|
||
theorem ex1 (a : α) : myid a = a := rfl
|
||
|
||
def cnst (b : β) : α → β := fun _ => b -- works
|
||
|
||
theorem ex2 (b : β) (a : α) : cnst b a = b := rfl
|
||
|
||
def Vec (α : Type) (n : Nat) := { a : Array α // a.size = n }
|
||
|
||
def mkVec : Vec α 0 := ⟨ #[], rfl ⟩
|
||
|
||
def Vec.map (xs : Vec α n) (f : α → β) : Vec β n :=
|
||
⟨ xs.val.map f, sorry ⟩
|
||
|
||
/- unbound implicit locals must be greek or lower case letters followed by numerical digits -/
|
||
def Vec.map2 (xs : Vec α size /- error: unknown identifier size -/) (f : α → β) : Vec β n :=
|
||
⟨ xs.val.map f, sorry ⟩
|
||
|
||
set_option autoBoundImplicitLocal false in
|
||
def Vec.map3 (xs : Vec α n) (f : α → β) : Vec β n := -- Errors, unknown identifiers 'α', 'n', 'β'
|
||
⟨ xs.val.map f, sorry ⟩
|
||
|
||
def double [Add α] (a : α) := a + a
|
||
|
||
variable (xs : Vec α n) -- works
|
||
|
||
def f := xs
|
||
|
||
#check @f
|
||
|
||
#check f mkVec
|
||
|
||
#check f (α := Nat) mkVec
|
||
|
||
def g (a : α) := xs.val.push a
|
||
|
||
theorem ex3 : g ⟨#[0], rfl⟩ 1 = #[0, 1] :=
|
||
rfl
|
||
|
||
inductive Tree (α β : Type) :=
|
||
| leaf1 : α → Tree α β
|
||
| leaf2 : β → Tree α β
|
||
| node : Tree α β → Tree α β → Tree α β
|
||
|
||
inductive TreeElem1 : α → Tree α β → Prop
|
||
| leaf1 : (a : α) → TreeElem1 a (Tree.leaf1 (β := β) a)
|
||
| nodeLeft : (a : α) → (left : Tree α β) → (right : Tree α β) → TreeElem1 a left → TreeElem1 a (Tree.node left right)
|
||
| nodeRight : (a : α) → (left : Tree α β) → (right : Tree α β) → TreeElem1 a right → TreeElem1 a (Tree.node left right)
|
||
|
||
inductive TreeElem2 : β → Tree α β → Prop
|
||
| leaf2 : (b : β) → TreeElem2 b (Tree.leaf2 (α := α) b)
|
||
| nodeLeft : (b : β) → (left : Tree α β) → (right : Tree α β) → TreeElem2 b left → TreeElem2 b (Tree.node left right)
|
||
| nodeRight : (b : β) → (left : Tree α β) → (right : Tree α β) → TreeElem2 b right → TreeElem2 b (Tree.node left right)
|
||
|
||
namespace Ex1
|
||
|
||
def findSomeRevM? [Monad m] (as : Array α) (f : α → m (Option β)) : m (Option β) :=
|
||
pure none
|
||
|
||
def findSomeRev? (as : Array α) (f : α → Option β) : Option β :=
|
||
Id.run <| findSomeRevM? as f
|
||
|
||
end Ex1
|
||
|
||
def apply {α : Type u₁} {β : α → Type u₂} (f : (a : α) → β a) (a : α) : β a :=
|
||
f a
|
||
|
||
def pair (a : α₁) := (a, a)
|