Compare commits

...

7 Commits

Author SHA1 Message Date
Kim Morrison
393c520afa rerevert 2024-09-24 21:59:52 +10:00
Kim Morrison
250c183bbd rfl proof 2024-09-24 21:58:47 +10:00
Kim Morrison
6722bc3f77 rerevert 2024-09-24 21:52:40 +10:00
Kim Morrison
6d0ab7e4de toArray_toList is rfl 2024-09-24 21:50:33 +10:00
Kim Morrison
540c343077 lemmas 2024-09-24 21:47:06 +10:00
Kim Morrison
3d25d0da03 . 2024-09-24 21:34:49 +10:00
Kim Morrison
627119f7b9 Revert "feat: theorems about List.toArray (#5403)"
This reverts commit e551a366a0.
2024-09-24 21:29:02 +10:00
7 changed files with 18 additions and 28 deletions

View File

@@ -1382,11 +1382,6 @@ gen_injective_theorems% EStateM.Result
gen_injective_theorems% Lean.Name
gen_injective_theorems% Lean.Syntax
/-- Replacement for `Array.mk.injEq`; we avoid mentioning the constructor and prefer `List.toArray`. -/
abbrev List.toArray_inj := @Array.mk.injEq
attribute [deprecated List.toArray_inj (since := "2024-09-09")] Array.mk.injEq
theorem Nat.succ.inj {m n : Nat} : m.succ = n.succ m = n :=
fun x => Nat.noConfusion x id

View File

@@ -73,8 +73,7 @@ theorem ext' {as bs : Array α} (h : as.toList = bs.toList) : as = bs := by
@[simp] theorem toArrayAux_eq (as : List α) (acc : Array α) : (as.toArrayAux acc).toList = acc.toList ++ as := by
induction as generalizing acc <;> simp [*, List.toArrayAux, Array.push, List.append_assoc, List.concat_eq_append]
@[simp] theorem toList_toArray (as : List α) : as.toArray.toList = as := by
simp [List.toArray, Array.mkEmpty]
@[simp] theorem toList_toArray (as : List α) : as.toArray.toList = as := rfl
@[simp] theorem size_toArray (as : List α) : as.toArray.size = as.length := by simp [size]

View File

@@ -9,7 +9,7 @@ import Init.Data.Nat.Linear
import Init.NotationExtra
theorem Array.of_push_eq_push {as bs : Array α} (h : as.push a = bs.push b) : as = bs a = b := by
simp only [push, List.toArray_inj] at h
simp only [push, mk.injEq] at h
have h₁, h₂ := List.of_concat_eq_concat h
cases as; cases bs
simp_all
@@ -34,7 +34,7 @@ private theorem List.of_toArrayAux_eq_toArrayAux {as bs : List α} {cs ds : Arra
@[simp] theorem List.toArray_eq_toArray_eq (as bs : List α) : (as.toArray = bs.toArray) = (as = bs) := by
apply propext; apply Iff.intro
· intro h; simp [toArray] at h; have := of_toArrayAux_eq_toArrayAux h rfl; exact this.1
· intro h; simpa [toArray] using h
· intro h; rw [h]
def Array.mapM' [Monad m] (f : α m β) (as : Array α) : m { bs : Array β // bs.size = as.size } :=

View File

@@ -19,11 +19,6 @@ This file contains some theorems about `Array` and `List` needed for `Init.Data.
namespace Array
/-- We avoid mentioning the constructor `Array.mk` directly, preferring `List.toArray`. -/
@[simp] theorem mk_eq_toArray (as : List α) : Array.mk as = as.toArray := by
apply ext'
simp
@[simp] theorem getElem_toList {a : Array α} {i : Nat} (h : i < a.size) : a.toList[i] = a[i] := rfl
@[simp] theorem getElem_mk {xs : List α} {i : Nat} (h : i < xs.length) : (Array.mk xs)[i] = xs[i] := rfl
@@ -68,14 +63,12 @@ open Array
(a.toArrayAux b).size = b.size + a.length := by
simp [size]
@[simp] theorem toArray_toList : (a : Array α) a.toList.toArray = a
| l => ext' (toList_toArray l)
@[simp] theorem toArray_toList (a : Array α) : a.toList.toArray = a := rfl
@[deprecated toArray_toList (since := "2024-09-09")]
abbrev toArray_data := @toArray_toList
@[simp] theorem getElem_toArray {a : List α} {i : Nat} (h : i < a.toArray.size) :
a.toArray[i] = a[i]'(by simpa using h) := by
have h₁ := mk_eq_toArray a
have h₂ := getElem_mk (by simpa using h)
simpa [h₁] using h₂
a.toArray[i] = a[i]'(by simpa using h) := rfl
@[simp] theorem toArray_concat {as : List α} {x : α} :
(as ++ [x]).toArray = as.toArray.push x := by
@@ -90,10 +83,10 @@ attribute [simp] uset
@[simp] theorem singleton_def (v : α) : singleton v = #[v] := rfl
@[deprecated List.toArray_toList (since := "2024-09-09")]
abbrev toArray_data := @List.toArray_toList
@[deprecated List.toArray_toList (since := "2024-09-09")]
abbrev toArray_toList := @List.toArray_toList
@[simp] theorem toArray_toList (a : Array α) : a.toList.toArray = a := rfl
@[deprecated toArray_toList (since := "2024-09-09")]
abbrev toArray_data := @toArray_toList
@[simp] theorem toList_length {l : Array α} : l.toList.length = l.size := rfl
@@ -647,7 +640,7 @@ theorem foldr_induction
simp only [mem_def, map_toList, List.mem_map]
theorem mapM_eq_mapM_toList [Monad m] [LawfulMonad m] (f : α m β) (arr : Array α) :
arr.mapM f = return ( arr.toList.mapM f).toArray := by
arr.mapM f = return mk ( arr.toList.mapM f) := by
rw [mapM_eq_foldlM, foldlM_eq_foldlM_toList, List.foldrM_reverse]
conv => rhs; rw [ List.reverse_reverse arr.toList]
induction arr.toList.reverse with

View File

@@ -163,7 +163,7 @@ protected def _root_.USize.repr (n : @& USize) : String :=
/-- We statically allocate and memoize reprs for small natural numbers. -/
private def reprArray : Array String := Id.run do
List.range 128 |>.map (·.toUSize.repr) |> List.toArray
List.range 128 |>.map (·.toUSize.repr) |> Array.mk
private def reprFast (n : Nat) : String :=
if h : n < 128 then Nat.reprArray.get n, h else

View File

@@ -2584,6 +2584,9 @@ structure Array (α : Type u) where
attribute [extern "lean_array_to_list"] Array.toList
attribute [extern "lean_array_mk"] Array.mk
@[inherit_doc Array.mk, match_pattern]
abbrev List.toArray (xs : List α) : Array α := .mk xs
/-- Construct a new empty array with initial capacity `c`. -/
@[extern "lean_mk_empty_array_with_capacity"]
def Array.mkEmpty {α : Type u} (c : @& Nat) : Array α where
@@ -2730,7 +2733,7 @@ def List.redLength : List α → Nat
-- This function is exported to C, where it is called by `Array.mk`
-- (the constructor) to implement this functionality.
@[inline, match_pattern, pp_nodot, export lean_list_to_array]
def List.toArray (as : List α) : Array α :=
def List.toArrayImpl (as : List α) : Array α :=
as.toArrayAux (Array.mkEmpty as.redLength)
/-- The typeclass which supplies the `>>=` "bind" function. See `Monad`. -/

View File

@@ -180,7 +180,7 @@ let _x.26 := @Array.push _ _x.24 z
def foldArrayLiteral : Folder := fun args => do
let #[_, .fvar fvarId] := args | return none
let some (list, typ, level) getPseudoListLiteral fvarId | return none
let arr := list.toArray
let arr := Array.mk list
let lit mkPseudoArrayLiteral arr typ level
return some lit