Unreleased

Update a[i] notation. It is now based on the typeclass

class GetElem (Cont : Type u) (Idx : Type v) (Elem : outParam (Type w)) (Dom : outParam (Cont → Idx → Prop)) where
  getElem (xs : Cont) (i : Idx) (h : Dom xs i) : Elem

The notation a[i] is not defined as follows

macro:max x:term noWs "[" i:term "]" : term => `(getElem $x $i (by get_elem_tactic))

The proof that i is a valid index is synthesized using the tactic get_elem_tactic. For example, the type Array α has the following instances

instance : GetElem (Array α) Nat α fun xs i => LT.lt i xs.size where ...
instance : GetElem (Array α) USize α fun xs i => LT.lt i.toNat xs.size where ...

You can use the notation a[i]'h to provide the proof manually. Two other notations were introduced: a[i]! and a[i]?, For a[i]!, a panic error message is produced at runtime if i is not a valid index. a[i]? has type Option α, and a[i]? evaluates to none if the index i is not valid. See discussion on Zulip. Examples:

example (a : Array Int) (i : Nat) : Int :=
  a[i] -- Error: failed to prove index is valid ...

example (a : Array Int) (i : Nat) (h : i < a.size) : Int :=
  a[i] -- Ok

example (a : Array Int) (i : Nat) : Int :=
  a[i]! -- Ok

example (a : Array Int) (i : Nat) : Option Int :=
  a[i]? -- Ok

example (a : Array Int) (h : a.size = 2) : Int :=
  a[0]'(by rw [h]; decide) -- Ok

example (a : Array Int) (h : a.size = 2) : Int :=
  have : 0 < a.size := by rw [h]; decide
  have : 1 < a.size := by rw [h]; decide
  a[0] + a[1] -- Ok

example (a : Array Int) (i : USize) (h : i.toNat < a.size) : Int :=
  a[i] -- Ok

Better support for qualified names in recursive declarations. The following is now supported:

namespace Nat
  def fact : Nat → Nat
  | 0 => 1
  | n+1 => (n+1) * Nat.fact n
end Nat

Update Lake to v3.2.1. See the v3.2.1 release notes for detailed changes.

Add support for CommandElabM monad at #eval. Example:

import Lean

open Lean Elab Command

#eval do
  let id := mkIdent `foo
  elabCommand (← `(def $id := 10))

#eval foo -- 10

Try to elaborate do notation even if the expected type is not available. We still delay elaboration when the expected type is not available. This change is particularly useful when writing examples such as
```
#eval do
  IO.println "hello"
  IO.println "world"
```
That is, we don't have to use the idiom #eval show IO _ from do ... anymore. Note that auto monadic lifting is less effective when the expected type is not available. Monadic polymorphic functions (e.g., ST.Ref.get) also require the expected type.
On Linux, panics now print a backtrace by default, which can be disabled by setting the environment variable LEAN_BACKTRACE to 0. Other platforms are TBD.
The group(·) syntax combinator is now introduced automatically where necessary, such as when using multiple parsers inside (...)+.
Add "Typed Macros": syntax trees produced and accepted by syntax antiquotations now remember their syntax kinds, preventing accidental production of ill-formed syntax trees and reducing the need for explicit :kind antiquotation annotations. See PR for details.

Aliases of protected definitions are protected too. Example:

protected def Nat.double (x : Nat) := 2*x

namespace Ex
export Nat (double) -- Add alias Ex.double for Nat.double
end Ex

open Ex
#check Ex.double -- Ok
#check double -- Error, `Ex.double` is alias for `Nat.double` which is protected

Use IO.getRandomBytes to initialize random seed for IO.rand. See discussion at this PR.

Improve dot notation and aliases interaction. See discussion on Zulip for additional details. Example:

def Set (α : Type) := α → Prop
def Set.union (s₁ s₂ : Set α) : Set α := fun a => s₁ a ∨ s₂ a
def FinSet (n : Nat) := Fin n → Prop

namespace FinSet
  export Set (union) -- FinSet.union is now an alias for `Set.union`
end FinSet

example (x y : FinSet 10) : FinSet 10 :=
  x.union y -- Works

ext and enter conv tactics can now go inside let-declarations. Example:

example (g : Nat → Nat) (y : Nat) (h : let x := y + 1; g (0+x) = x) : g (y + 1) = y + 1 := by
  conv at h => enter [x, 1, 1]; rw [Nat.zero_add]
  /-
    g : Nat → Nat
    y : Nat
    h : let x := y + 1;
        g x = x
    ⊢ g (y + 1) = y + 1
  -/
  exact h

Add zeta conv tactic to expand let-declarations. Example:

example (h : let x := y + 1; 0 + x = y) : False := by
  conv at h => zeta; rw [Nat.zero_add]
  /-
    y : Nat
    h : y + 1 = y
    ⊢ False
  -/
  simp_arith at h

Improve namespace resolution. See issue #1224. Example:

import Lean
open Lean Parser Elab
open Tactic -- now opens both `Lean.Parser.Tactic` and `Lean.Elab.Tactic`

Rename constant command to opaque. See discussion at Zulip.

Extend induction and cases syntax: multiple left-hand-sides in a single alternative. This extension is very similar to the one implemented for match expressions. Examples:

inductive Foo where
  | mk1 (x : Nat) | mk2 (x : Nat) | mk3

def f (v : Foo) :=
  match v with
  | .mk1 x => x + 1
  | .mk2 x => 2*x + 1
  | .mk3   => 1

theorem f_gt_zero : f v > 0 := by
  cases v with
  | mk1 x | mk2 x => simp_arith!  -- New feature used here!
  | mk3 => decide

let/if indentation in do blocks in now supported.
Add unnamed antiquotation $_ for use in syntax quotation patterns.
Add unused variables linter. Feedback welcome!

Lean now generates an error if the body of a declaration body contains a universe parameter that does not occur in the declaration type, nor is an explicit parameter. Examples:

/-
The following declaration now produces an error because `PUnit` is universe polymorphic,
but the universe parameter does not occur in the function type `Nat → Nat`
-/
def f (n : Nat) : Nat :=
  let aux (_ : PUnit) : Nat := n + 1
  aux ⟨⟩

/-
The following declaration is accepted because the universe parameter was explicitly provided in the
function signature.
-/
def g.{u} (n : Nat) : Nat :=
  let aux (_ : PUnit.{u}) : Nat := n + 1
  aux ⟨⟩

Add subst_vars tactic.
Fix autoParam in structure fields lost in multiple inheritance..

Add [eliminator] attribute. It allows users to specify default recursor/eliminators for the induction and cases tactics. It is an alternative for the using notation. Example:

@[eliminator] protected def recDiag {motive : Nat → Nat → Sort u}
    (zero_zero : motive 0 0)
    (succ_zero : (x : Nat) → motive x 0 → motive (x + 1) 0)
    (zero_succ : (y : Nat) → motive 0 y → motive 0 (y + 1))
    (succ_succ : (x y : Nat) → motive x y → motive (x + 1) (y + 1))
    (x y : Nat) :  motive x y :=
  let rec go : (x y : Nat) → motive x y
    | 0,     0 => zero_zero
    | x+1, 0   => succ_zero x (go x 0)
    | 0,   y+1 => zero_succ y (go 0 y)
    | x+1, y+1 => succ_succ x y (go x y)
  go x y
termination_by go x y => (x, y)

def f (x y : Nat) :=
  match x, y with
  | 0,   0   => 1
  | x+1, 0   => f x 0
  | 0,   y+1 => f 0 y
  | x+1, y+1 => f x y
termination_by f x y => (x, y)

example (x y : Nat) : f x y > 0 := by
  induction x, y <;> simp [f, *]

Add support for casesOn applications to structural and well-founded recursion modules. This feature is useful when writing definitions using tactics. Example:

inductive Foo where
  | a | b | c
  | pair: Foo × Foo → Foo

def Foo.deq (a b : Foo) : Decidable (a = b) := by
  cases a <;> cases b
  any_goals apply isFalse Foo.noConfusion
  any_goals apply isTrue rfl
  case pair a b =>
    let (a₁, a₂) := a
    let (b₁, b₂) := b
    exact match deq a₁ b₁, deq a₂ b₂ with
    | isTrue h₁, isTrue h₂ => isTrue (by rw [h₁,h₂])
    | isFalse h₁, _ => isFalse (fun h => by cases h; cases (h₁ rfl))
    | _, isFalse h₂ => isFalse (fun h => by cases h; cases (h₂ rfl))

Option is again a monad. The auxiliary type OptionM has been removed. See Zulip thread.
Improve split tactic. It used to fail on match expressions of the form match h : e with ... where e is not a free variable. The failure used to occur during generalization.
New encoding for match-expressions that use the h : notation for discriminants. The information is not lost during delaboration, and it is the foundation for a better split tactic. at delaboration time. Example:
```
#print Nat.decEq
/-
protected def Nat.decEq : (n m : Nat) → Decidable (n = m) :=
fun n m =>
  match h : Nat.beq n m with
  | true => isTrue (_ : n = m)
  | false => isFalse (_ : ¬n = m)
-/
```
exists tactic is now takes a comma separated list of terms.
Add dsimp and dsimp! tactics. They guarantee the result term is definitionally equal, and only apply rfl-theorems.
Fix binder information for match patterns that use definitions tagged with [matchPattern] (e.g., Nat.add). We now have proper binder information for the variable y in the following example.
```
def f (x : Nat) : Nat :=
  match x with
  | 0 => 1
  | y + 1 => y
```

(Fix) the default value for structure fields may now depend on the structure parameters. Example:

structure Something (i: Nat) where
n1: Nat := 1
n2: Nat := 1 + i

def s : Something 10 := {}
example : s.n2 = 11 := rfl

Apply rfl theorems at the dsimp auxiliary method used by simp. dsimp can be used anywhere in an expression because it preserves definitional equality.
Refine auto bound implicit feature. It does not consider anymore unbound variables that have the same name of a declaration being defined. Example:
```
def f : f → Bool := -- Error at second `f`
  fun _ => true

inductive Foo : List Foo → Type -- Error at second `Foo`
  | x : Foo []
```
Before this refinement, the declarations above would be accepted and the second f and Foo would be treated as auto implicit variables. That is, f : {f : Sort u} → f → Bool, and Foo : {Foo : Type u} → List Foo → Type.

Fix syntax hightlighting for recursive declarations. Example

inductive List (α : Type u) where
  | nil : List α  -- `List` is not highlighted as a variable anymore
  | cons (head : α) (tail : List α) : List α

def List.map (f : α → β) : List α → List β
  | []    => []
  | a::as => f a :: map f as -- `map` is not highlighted as a variable anymore

Add autoUnfold option to Lean.Meta.Simp.Config, and the following macros
- simp! for simp (config := { autoUnfold := true })
- simp_arith! for simp (config := { autoUnfold := true, arith := true })
- simp_all! for simp_all (config := { autoUnfold := true })
- simp_all_arith! for simp_all (config := { autoUnfold := true, arith := true })
When the autoUnfold is set to true, simp tries to unfold the following kinds of definition
- Recursive definitions defined by structural recursion.
- Non-recursive definitions where the body is a match-expression. This kind of definition is only unfolded if the match can be reduced. Example:
```
def append (as bs : List α) : List α :=
  match as with
  | [] => bs
  | a :: as => a :: append as bs

theorem append_nil (as : List α) : append as [] = as := by
  induction as <;> simp_all!

theorem append_assoc (as bs cs : List α) : append (append as bs) cs = append as (append bs cs) := by
  induction as <;> simp_all!
```

Add save tactic for creating checkpoints more conveniently. Example:

example : <some-proposition> := by
  tac_1
  tac_2
  save
  tac_3
  ...

is equivalent to

example : <some-proposition> := by
  checkpoint
    tac_1
    tac_2
  tac_3
  ...

Remove support for {} annotation from inductive datatype contructors. This annotation was barely used, and we can control the binder information for parameter bindings using the new inductive family indices to parameter promotion. Example: the following declaration using {}
```
inductive LE' (n : Nat) : Nat → Prop where
  | refl {} : LE' n n -- Want `n` to be explicit
  | succ  : LE' n m → LE' n (m+1)
```
can now be written as
```
inductive LE' : Nat → Nat → Prop where
  | refl (n : Nat) : LE' n n
  | succ : LE' n m → LE' n (m+1)
```
In both cases, the inductive family has one parameter and one index. Recall that the actual number of parameters can be retrieved using the command #print.
Remove support for {} annotation in the structure command.
Several improvements to LSP server. Examples: "jump to definition" in mutually recursive sections, fixed incorrect hover information in "match"-expression patterns, "jump to definition" for pattern variables, fixed auto-completion in function headers, etc.
In macro ... xs:p* ... and similar macro bindings of combinators, xs now has the correct type Array Syntax
Identifiers in syntax patterns now ignore macro scopes during matching.

Improve binder names for constructor auto implicit parameters. Example, given the inductive datatype

inductive Member : α → List α → Type u
  | head : Member a (a::as)
  | tail : Member a bs → Member a (b::bs)

before:

#check @Member.head
-- @Member.head : {x : Type u_1} → {a : x} → {as : List x} → Member a (a :: as)

now:

#check @Member.head
-- @Member.head : {α : Type u_1} → {a : α} → {as : List α} → Member a (a :: as)

Improve error message when constructor parameter universe level is too big.

Add support for for h : i in [start:stop] do .. where h : i ∈ [start:stop]. This feature is useful for proving termination of functions such as:

inductive Expr where
  | app (f : String) (args : Array Expr)

def Expr.size (e : Expr) : Nat := Id.run do
  match e with
  | app f args =>
    let mut sz := 1
    for h : i in [: args.size] do
      -- h.upper : i < args.size
      sz := sz + size (args.get ⟨i, h.upper⟩)
    return sz

Add tactic case'. It is similar to case, but does not admit the goal on failure. For example, the new tactic is useful when writing tactic scripts where we need to use case' at first | ... | ..., and we want to take the next alternative when case' fails.

Add tactic macro

macro "stop" s:tacticSeq : tactic => `(repeat sorry)

See discussion on Zulip.

When displaying goals, we do not display inaccessible proposition names if they do not have forward dependencies. We still display their types. For example, the goal

case node.inl.node
β : Type u_1
b : BinTree β
k : Nat
v : β
left : Tree β
key : Nat
value : β
right : Tree β
ihl : BST left → Tree.find? (Tree.insert left k v) k = some v
ihr : BST right → Tree.find? (Tree.insert right k v) k = some v
h✝ : k < key
a✝³ : BST left
a✝² : ForallTree (fun k v => k < key) left
a✝¹ : BST right
a✝ : ForallTree (fun k v => key < k) right
⊢ BST left

is now displayed as

case node.inl.node
β : Type u_1
b : BinTree β
k : Nat
v : β
left : Tree β
key : Nat
value : β
right : Tree β
ihl : BST left → Tree.find? (Tree.insert left k v) k = some v
ihr : BST right → Tree.find? (Tree.insert right k v) k = some v
 : k < key
 : BST left
 : ForallTree (fun k v => k < key) left
 : BST right
 : ForallTree (fun k v => key < k) right
⊢ BST left

The hypothesis name is now optional in the by_cases tactic.
Fix inconsistency between syntax and kind names. The node kinds numLit, charLit, nameLit, strLit, and scientificLit are now called num, char, name, str, and scientific respectively. Example: we now write
```
macro_rules | `($n:num) => `("hello")
```
instead of
```
macro_rules | `($n:numLit) => `("hello")
```
(Experimental) New checkpoint <tactic-seq> tactic for big interactive proofs.
Rename tactic nativeDecide => native_decide.
Antiquotations are now accepted in any syntax. The incQuotDepth syntax parser is therefore obsolete and has been removed.
Renamed tactic nativeDecide => native_decide.

"Cleanup" local context before elaborating a match alternative right-hand-side. Examples:

example (x : Nat) : Nat :=
  match g x with
  | (a, b) => _ -- Local context does not contain the auxiliary `_discr := g x` anymore

example (x : Nat × Nat) (h : x.1 > 0) : f x > 0 := by
  match x with
  | (a, b) => _ -- Local context does not contain the `h✝ : x.fst > 0` anymore

Improve let-pattern (and have-pattern) macro expansion. In the following example,
```
example (x : Nat × Nat) : f x > 0 := by
  let (a, b) := x
  done
```
The resulting goal is now ... |- f (a, b) > 0 instead of ... |- f x > 0.
Add cross-compiled aarch64 Linux and aarch64 macOS releases.
Add tutorial-like examples to our documentation, rendered using LeanInk+Alectryon.

v4.0.0-m4 (23 March 2022)

simp now takes user-defined simp-attributes. You can define a new simp attribute by creating a file (e.g., MySimp.lean) containing

import Lean
open Lean.Meta

initialize my_ext : SimpExtension ← registerSimpAttr `my_simp "my own simp attribute"

If you don't neet to acces my_ext, you can also use the macro

import Lean

register_simp_attr my_simp "my own simp attribute"

Recall that the new simp attribute is not active in the Lean file where it was defined. Here is a small example using the new feature.

import MySimp

def f (x : Nat) := x + 2
def g (x : Nat) := x + 1

@[my_simp] theorem f_eq : f x = x + 2 := rfl
@[my_simp] theorem g_eq : g x = x + 1 := rfl

example : f x + g x = 2*x + 3 := by
  simp_arith [my_simp]

Extend match syntax: multiple left-hand-sides in a single alternative. Example:

def fib : Nat → Nat
| 0 | 1 => 1
| n+2 => fib n + fib (n+1)

This feature was discussed at issue 371. It was implemented as a macro expansion. Thus, the following is accepted.

inductive StrOrNum where
  | S (s : String)
  | I (i : Int)

def StrOrNum.asString (x : StrOrNum) :=
  match x with
  | I a | S a => toString a

Improve #eval command. Now, when it fails to synthesize a Lean.MetaEval instance for the result type, it reduces the type and tries again. The following example now works without additional annotations
```
def Foo := List Nat

def test (x : Nat) : Foo :=
  [x, x+1, x+2]

#eval test 4
```

rw tactic can now apply auto-generated equation theorems for a given definition. Example:

example (a : Nat) (h : n = 1) : [a].length = n := by
  rw [List.length]
  trace_state -- .. |- [].length + 1 = n
  rw [List.length]
  trace_state -- .. |- 0 + 1 = n
  rw [h]

Fuzzy matching for auto completion
Extend dot-notation x.field for arrow types. If type of x is an arrow, we look up for Function.field. For example, given f : Nat → Nat and g : Nat → Nat, f.comp g is now notation for Function.comp f g.

The new .<identifier> notation is now also accepted where a function type is expected.

example (xs : List Nat) : List Nat := .map .succ xs
example (xs : List α) : Std.RBTree α ord := xs.foldl .insert ∅

Add code folding support to the language server.
Support notation let <pattern> := <expr> | <else-case> in do blocks.
Remove support for "auto" pure. In the Zulip thread, the consensus seemed to be that "auto" pure is more confusing than it's worth.

Remove restriction in congr theorems that all function arguments on the left-hand-side must be free variables. For example, the following theorem is now a valid congr theorem.

@[congr]
theorem dep_congr [DecidableEq ι] {p : ι → Set α} [∀ i, Inhabited (p i)] :
                  ∀ {i j} (h : i = j) (x : p i) (y : α) (hx : x = y), Pi.single (f := (p ·)) i x = Pi.single (f := (p ·)) j ⟨y, hx ▸ h ▸ x.2⟩ :=

Partially applied congruence theorems.
Improve elaboration postponement heuristic when expected type is a metavariable. Lean now reduces the expected type before performing the test.
Remove deprecated leanpkg in favor of Lake now bundled with Lean.
Various improvements to go-to-definition & find-all-references accuracy.
Auto generated congruence lemmas with support for casts on proofs and Decidable instances (see whishlist).
Rename option autoBoundImplicitLocal => autoImplicit.
Relax auto-implicit restrictions. The command set_option relaxedAutoImplicit false disables the relaxations.
contradiction tactic now closes the goal if there is a False.elim application in the target.
Renamed tatic byCases => by_cases (motivation: enforcing naming convention).

Local instances occurring in patterns are now considered by the type class resolution procedure. Example:

def concat : List ((α : Type) × ToString α × α) → String
  | [] => ""
  | ⟨_, _, a⟩ :: as => toString a ++ concat as

Notation for providing the motive for match expressions has changed. before:

match x, rfl : (y : Nat) → x = y → Nat with
| 0,   h => ...
| x+1, h => ...

now:

match (motive := (y : Nat) → x = y → Nat) x, rfl with
| 0,   h => ...
| x+1, h => ...

With this change, the notation for giving names to equality proofs in match-expressions is not whitespace sensitive anymore. That is, we can now write

match h : sort.swap a b with
| (r₁, r₂) => ... -- `h : sort.swap a b = (r₁, r₂)`

(generalizing := true) is the default behavior for match expressions even if the expected type is not a proposition. In the following example, we used to have to include (generalizing := true) manually.
```
inductive Fam : Type → Type 1 where
  | any : Fam α
  | nat : Nat → Fam Nat

example (a : α) (x : Fam α) : α :=
  match x with
  | Fam.any   => a
  | Fam.nat n => n
```
We now use PSum (instead of Sum) when compiling mutually recursive definitions using well-founded recursion.
Better support for parametric well-founded relations. See issue #1017. This change affects the low-level termination_by' hint because the fixed prefix of the function parameters in not "packed" anymore when constructing the well-founded relation type. For example, in the following definition, as is part of the fixed prefix, and is not packed anymore. In previous versions, the termination_by' term would be written as measure fun ⟨as, i, _⟩ => as.size - i
```
def sum (as : Array Nat) (i : Nat) (s : Nat) : Nat :=
  if h : i < as.size then
    sum as (i+1) (s + as.get ⟨i, h⟩)
  else
    s
termination_by' measure fun ⟨i, _⟩ => as.size - i
```
Add while <cond> do <do-block>, repeat <do-block>, and repeat <do-block> until <cond> macros for do-block. These macros are based on partial definitions, and consequently are useful only for writing programs we don't want to prove anything about.
Add arith option to Simp.Config, the macro simp_arith expands to simp (config := { arith := true }). Only Nat and linear arithmetic is currently supported. Example:
```
example : 0 < 1 + x ∧ x + y + 2 ≥ y + 1 := by
  simp_arith
```
Add fail <string>? tactic that always fail.
Add support for acyclicity at dependent elimination. See issue #1022.
Add trace <string> tactic for debugging purposes.
Add nontrivial SizeOf instance for types Unit → α, and add support for them in the auto-generated SizeOf instances for user-defined inductive types. For example, given the inductive datatype
```
inductive LazyList (α : Type u) where
  | nil                               : LazyList α
  | cons (hd : α) (tl : LazyList α)   : LazyList α
  | delayed (t : Thunk (LazyList α))  : LazyList α
```
we now have sizeOf (LazyList.delayed t) = 1 + sizeOf t instead of sizeOf (LazyList.delayed t) = 2.

Add support for guessing (very) simple well-founded relations when proving termination. For example, the following function does not require a termination_by annotation anymore.

def Array.insertAtAux (i : Nat) (as : Array α) (j : Nat) : Array α :=
  if h : i < j then
    let as := as.swap! (j-1) j;
    insertAtAux i as (j-1)
  else
    as

Add support for for h : x in xs do ... notation where h : x ∈ xs. This is mainly useful for showing termination.
Auto implicit behavior changed for inductive families. An auto implicit argument occurring in inductive family index is also treated as an index (IF it is not fixed, see next item). For example
```
inductive HasType : Index n → Vector Ty n → Ty → Type where
```
is now interpreted as
```
inductive HasType : {n : Nat} → Index n → Vector Ty n → Ty → Type where
```
To make the previous feature more convenient to use, we promote a fixed prefix of inductive family indices to parameters. For example, the following declaration is now accepted by Lean
```
inductive Lst : Type u → Type u
  | nil  : Lst α
  | cons : α → Lst α → Lst α
```
and α in Lst α is a parameter. The actual number of parameters can be inspected using the command #print Lst. This feature also makes sure we still accept the declaration
```
inductive Sublist : List α → List α → Prop
  | slnil : Sublist [] []
  | cons l₁ l₂ a : Sublist l₁ l₂ → Sublist l₁ (a :: l₂)
  | cons2 l₁ l₂ a : Sublist l₁ l₂ → Sublist (a :: l₁) (a :: l₂)
```

Added auto implicit "chaining". Unassigned metavariables occurring in the auto implicit types now become new auto implicit locals. Consider the following example:

inductive HasType : Fin n → Vector Ty n → Ty → Type where
  | stop : HasType 0 (ty :: ctx) ty
  | pop  : HasType k ctx ty → HasType k.succ (u :: ctx) ty

ctx is an auto implicit local in the two constructors, and it has type ctx : Vector Ty ?m. Without auto implicit "chaining", the metavariable ?m will remain unassigned. The new feature creates yet another implicit local n : Nat and assigns n to ?m. So, the declaration above is shorthand for

inductive HasType : {n : Nat} → Fin n → Vector Ty n → Ty → Type where
  | stop : {ty : Ty} → {n : Nat} → {ctx : Vector Ty n} → HasType 0 (ty :: ctx) ty
  | pop  : {n : Nat} → {k : Fin n} → {ctx : Vector Ty n} → {ty : Ty} → HasType k ctx ty → HasType k.succ (u :: ctx) ty

Eliminate auxiliary type annotations (e.g, autoParam and optParam) from recursor minor premises and projection declarations. Consider the following example

structure A :=
  x : Nat
  h : x = 1 := by trivial

example (a : A) : a.x = 1 := by
  have aux := a.h
  -- `aux` has now type `a.x = 1` instead of `autoParam (a.x = 1) auto✝`
  exact aux

example (a : A) : a.x = 1 := by
  cases a with
  | mk x h =>
    -- `h` has now type `x = 1` instead of `autoParam (x = 1) auto✝`
    assumption

We now accept overloaded notation in patterns, but we require the set of pattern variables in each alternative to be the same. Example:

inductive Vector (α : Type u) : Nat → Type u
  | nil : Vector α 0
  | cons : α → Vector α n → Vector α (n+1)

infix:67 " :: " => Vector.cons -- Overloading the `::` notation

def head1 (x : List α) (h : x ≠ []) : α :=
  match x with
  | a :: as => a -- `::` is `List.cons` here

def head2 (x : Vector α (n+1)) : α :=
  match x with
  | a :: as => a -- `::` is `Vector.cons` here

New notation .<identifier> based on Swift. The namespace is inferred from the expected type. See issue #944. Examples:

def f (x : Nat) : Except String Nat :=
  if x > 0 then
    .ok x
  else
    .error "x is zero"

namespace Lean.Elab
open Lsp

def identOf : Info → Option (RefIdent × Bool)
  | .ofTermInfo ti => match ti.expr with
    | .const n .. => some (.const n, ti.isBinder)
    | .fvar id .. => some (.fvar id, ti.isBinder)
    | _ => none
  | .ofFieldInfo fi => some (.const fi.projName, false)
  | _ => none

def isImplicit (bi : BinderInfo) : Bool :=
  bi matches .implicit

end Lean.Elab

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RELEASES.md

RELEASES.md

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v4.0.0-m4 (23 March 2022)

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Unreleased

v4.0.0-m4 (23 March 2022)