data.lazy_list.basicMathlib.Data.LazyList.Basic

This file has been ported!

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -3,9 +3,9 @@ Copyright (c) 2018 Simon Hudon. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Simon Hudon
 -/
-import Mathbin.Control.Traversable.Equiv
-import Mathbin.Control.Traversable.Instances
-import Mathbin.Data.LazyList
+import Control.Traversable.Equiv
+import Control.Traversable.Instances
+import Data.LazyList
 
 #align_import data.lazy_list.basic from "leanprover-community/mathlib"@"4d392a6c9c4539cbeca399b3ee0afea398fbd2eb"
 
Diff
@@ -25,10 +25,10 @@ universe u
 
 namespace Thunk
 
-#print Thunk.pure /-
+#print Thunk.mk /-
 /-- Creates a thunk with a (non-lazy) constant value. -/
-def pure {α} (x : α) : Thunk α := fun _ => x
-#align thunk.mk Thunk.pure
+def mk {α} (x : α) : Thunk α := fun _ => x
+#align thunk.mk Thunk.mk
 -/
 
 instance {α : Type u} [DecidableEq α] : DecidableEq (Thunk α)
@@ -74,7 +74,7 @@ instance {α : Type u} [DecidableEq α] : DecidableEq (LazyList α)
 protected def traverse {m : Type u → Type u} [Applicative m] {α β : Type u} (f : α → m β) :
     LazyList α → m (LazyList β)
   | LazyList.nil => pure LazyList.nil
-  | LazyList.cons x xs => LazyList.cons <$> f x <*> Thunk.pure <$> traverse (xs ())
+  | LazyList.cons x xs => LazyList.cons <$> f x <*> Thunk.mk <$> traverse (xs ())
 #align lazy_list.traverse LazyList.traverse
 -/
 
Diff
@@ -2,16 +2,13 @@
 Copyright (c) 2018 Simon Hudon. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Simon Hudon
-
-! This file was ported from Lean 3 source module data.lazy_list.basic
-! leanprover-community/mathlib commit 4d392a6c9c4539cbeca399b3ee0afea398fbd2eb
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Control.Traversable.Equiv
 import Mathbin.Control.Traversable.Instances
 import Mathbin.Data.LazyList
 
+#align_import data.lazy_list.basic from "leanprover-community/mathlib"@"4d392a6c9c4539cbeca399b3ee0afea398fbd2eb"
+
 /-!
 ## Definitions on lazy lists
 
Diff
@@ -86,7 +86,7 @@ instance : Traversable LazyList
   map := @LazyList.traverse id _
   traverse := @LazyList.traverse
 
-instance : IsLawfulTraversable LazyList :=
+instance : LawfulTraversable LazyList :=
   by
   apply Equiv.isLawfulTraversable' list_equiv_lazy_list <;> intros <;> skip <;> ext
   · induction x; rfl
Diff
@@ -28,9 +28,11 @@ universe u
 
 namespace Thunk
 
+#print Thunk.pure /-
 /-- Creates a thunk with a (non-lazy) constant value. -/
 def pure {α} (x : α) : Thunk α := fun _ => x
 #align thunk.mk Thunk.pure
+-/
 
 instance {α : Type u} [DecidableEq α] : DecidableEq (Thunk α)
   | a, b =>
@@ -163,21 +165,27 @@ instance : Monad LazyList where
   pure := @LazyList.singleton
   bind := @LazyList.bind
 
+#print LazyList.append_nil /-
 theorem append_nil {α} (xs : LazyList α) : xs.append LazyList.nil = xs :=
   by
   induction xs; rfl
   simp [LazyList.append, xs_ih]
   ext; congr
 #align lazy_list.append_nil LazyList.append_nil
+-/
 
+#print LazyList.append_assoc /-
 theorem append_assoc {α} (xs ys zs : LazyList α) :
     (xs.append ys).append zs = xs.append (ys.append zs) := by induction xs <;> simp [append, *]
 #align lazy_list.append_assoc LazyList.append_assoc
+-/
 
+#print LazyList.append_bind /-
 theorem append_bind {α β} (xs : LazyList α) (ys : Thunk (LazyList α)) (f : α → LazyList β) :
     (@LazyList.append _ xs ys).bind f = (xs.bind f).append ((ys ()).bind f) := by
   induction xs <;> simp [LazyList.bind, append, *, append_assoc, append, LazyList.bind]
 #align lazy_list.append_bind LazyList.append_bind
+-/
 
 instance : LawfulMonad LazyList
     where
@@ -223,16 +231,20 @@ theorem mem_nil {α} (x : α) : x ∈ @LazyList.nil α ↔ False :=
 #align lazy_list.mem_nil LazyList.mem_nil
 -/
 
+#print LazyList.mem_cons /-
 @[simp]
 theorem mem_cons {α} (x y : α) (ys : Thunk (LazyList α)) :
     x ∈ @LazyList.cons α y ys ↔ x = y ∨ x ∈ ys () :=
   Iff.rfl
 #align lazy_list.mem_cons LazyList.mem_cons
+-/
 
+#print LazyList.forall_mem_cons /-
 theorem forall_mem_cons {α} {p : α → Prop} {a : α} {l : Thunk (LazyList α)} :
     (∀ x ∈ @LazyList.cons _ a l, p x) ↔ p a ∧ ∀ x ∈ l (), p x := by
   simp only [Membership.Mem, LazyList.Mem, or_imp, forall_and, forall_eq]
 #align lazy_list.forall_mem_cons LazyList.forall_mem_cons
+-/
 
 /-! ### map for partial functions -/
 
Diff
@@ -51,9 +51,9 @@ def listEquivLazyList (α : Type _) : List α ≃ LazyList α
   toFun := LazyList.ofList
   invFun := LazyList.toList
   right_inv := by
-    intro ; induction x; rfl; simp! [*]
+    intro; induction x; rfl; simp! [*]
     ext; cases x; rfl
-  left_inv := by intro ; induction x; rfl; simp! [*]
+  left_inv := by intro; induction x; rfl; simp! [*]
 #align lazy_list.list_equiv_lazy_list LazyList.listEquivLazyList
 -/
 
@@ -181,8 +181,8 @@ theorem append_bind {α β} (xs : LazyList α) (ys : Thunk (LazyList α)) (f : 
 
 instance : LawfulMonad LazyList
     where
-  pure_bind := by intros ; apply append_nil
-  bind_assoc := by intros ; dsimp [(· >>= ·)]; induction x <;> simp [LazyList.bind, append_bind, *]
+  pure_bind := by intros; apply append_nil
+  bind_assoc := by intros; dsimp [(· >>= ·)]; induction x <;> simp [LazyList.bind, append_bind, *]
   id_map := by
     intros
     simp [(· <$> ·)]
Diff
@@ -28,12 +28,6 @@ universe u
 
 namespace Thunk
 
-/- warning: thunk.mk -> Thunk.pure is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}}, α -> (Thunkₓ.{u1} α)
-but is expected to have type
-  forall {α : Type.{u1}}, α -> (Thunk.{u1} α)
-Case conversion may be inaccurate. Consider using '#align thunk.mk Thunk.pureₓ'. -/
 /-- Creates a thunk with a (non-lazy) constant value. -/
 def pure {α} (x : α) : Thunk α := fun _ => x
 #align thunk.mk Thunk.pure
@@ -169,12 +163,6 @@ instance : Monad LazyList where
   pure := @LazyList.singleton
   bind := @LazyList.bind
 
-/- warning: lazy_list.append_nil -> LazyList.append_nil is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} (xs : LazyList.{u1} α), Eq.{succ u1} (LazyList.{u1} α) (LazyList.append.{u1} α xs (fun (_ : Unit) => LazyList.nil.{u1} α)) xs
-but is expected to have type
-  forall {α : Type.{u1}} (xs : LazyList.{u1} α), Eq.{succ u1} (LazyList.{u1} α) (LazyList.append.{u1} α xs (Thunk.pure.{u1} (LazyList.{u1} α) (LazyList.nil.{u1} α))) xs
-Case conversion may be inaccurate. Consider using '#align lazy_list.append_nil LazyList.append_nilₓ'. -/
 theorem append_nil {α} (xs : LazyList α) : xs.append LazyList.nil = xs :=
   by
   induction xs; rfl
@@ -182,22 +170,10 @@ theorem append_nil {α} (xs : LazyList α) : xs.append LazyList.nil = xs :=
   ext; congr
 #align lazy_list.append_nil LazyList.append_nil
 
-/- warning: lazy_list.append_assoc -> LazyList.append_assoc is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} (xs : LazyList.{u1} α) (ys : LazyList.{u1} α) (zs : LazyList.{u1} α), Eq.{succ u1} (LazyList.{u1} α) (LazyList.append.{u1} α (LazyList.append.{u1} α xs (fun (_ : Unit) => ys)) (fun (_ : Unit) => zs)) (LazyList.append.{u1} α xs (fun (_ : Unit) => LazyList.append.{u1} α ys (fun (_ : Unit) => zs)))
-but is expected to have type
-  forall {α : Type.{u1}} (xs : LazyList.{u1} α) (ys : LazyList.{u1} α) (zs : LazyList.{u1} α), Eq.{succ u1} (LazyList.{u1} α) (LazyList.append.{u1} α (LazyList.append.{u1} α xs (Thunk.mk.{u1} (LazyList.{u1} α) (fun (x._@.Init.Core._hyg.266 : Unit) => ys))) (Thunk.mk.{u1} (LazyList.{u1} α) (fun (x._@.Init.Core._hyg.266 : Unit) => zs))) (LazyList.append.{u1} α xs (Thunk.mk.{u1} (LazyList.{u1} α) (fun (x._@.Init.Core._hyg.266 : Unit) => LazyList.append.{u1} α ys (Thunk.mk.{u1} (LazyList.{u1} α) (fun (x._@.Init.Core._hyg.266 : Unit) => zs)))))
-Case conversion may be inaccurate. Consider using '#align lazy_list.append_assoc LazyList.append_assocₓ'. -/
 theorem append_assoc {α} (xs ys zs : LazyList α) :
     (xs.append ys).append zs = xs.append (ys.append zs) := by induction xs <;> simp [append, *]
 #align lazy_list.append_assoc LazyList.append_assoc
 
-/- warning: lazy_list.append_bind -> LazyList.append_bind is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} (xs : LazyList.{u1} α) (ys : Thunkₓ.{u1} (LazyList.{u1} α)) (f : α -> (LazyList.{u2} β)), Eq.{succ u2} (LazyList.{u2} β) (LazyList.bind.{u1, u2} α β (LazyList.append.{u1} α xs ys) f) (LazyList.append.{u2} β (LazyList.bind.{u1, u2} α β xs f) (fun (_ : Unit) => LazyList.bind.{u1, u2} α β (ys Unit.unit) f))
-but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} (xs : LazyList.{u2} α) (ys : Thunk.{u2} (LazyList.{u2} α)) (f : α -> (LazyList.{u1} β)), Eq.{succ u1} (LazyList.{u1} β) (LazyList.bind.{u2, u1} α β (LazyList.append.{u2} α xs ys) f) (LazyList.append.{u1} β (LazyList.bind.{u2, u1} α β xs f) (Thunk.mk.{u1} (LazyList.{u1} β) (fun (x._@.Init.Core._hyg.266 : Unit) => LazyList.bind.{u2, u1} α β (Thunk.get.{u2} (LazyList.{u2} α) ys) f)))
-Case conversion may be inaccurate. Consider using '#align lazy_list.append_bind LazyList.append_bindₓ'. -/
 theorem append_bind {α β} (xs : LazyList α) (ys : Thunk (LazyList α)) (f : α → LazyList β) :
     (@LazyList.append _ xs ys).bind f = (xs.bind f).append ((ys ()).bind f) := by
   induction xs <;> simp [LazyList.bind, append, *, append_assoc, append, LazyList.bind]
@@ -213,12 +189,6 @@ instance : LawfulMonad LazyList
     induction x <;> simp [LazyList.bind, *, singleton, append]
     ext ⟨⟩; rfl
 
-/- warning: lazy_list.mfirst -> LazyList.mfirstₓ is a dubious translation:
-lean 3 declaration is
-  forall {m : Type.{u1} -> Type.{u2}} [_inst_1 : Alternative.{u1, u2} m] {α : Type.{u3}} {β : Type.{u1}}, (α -> (m β)) -> (LazyList.{u3} α) -> (m β)
-but is expected to have type
-  forall {m : Type.{u3} -> Type.{u2}} [_inst_1 : Alternative.{u3, u2} m] {α : Type.{u1}} {β : Type.{u3}}, (α -> (m β)) -> (LazyList.{u1} α) -> (m β)
-Case conversion may be inaccurate. Consider using '#align lazy_list.mfirst LazyList.mfirstₓₓ'. -/
 /-- Try applying function `f` to every element of a `lazy_list` and
 return the result of the first attempt that succeeds. -/
 def mfirst {m} [Alternative m] {α β} (f : α → m β) : LazyList α → m β
@@ -253,24 +223,12 @@ theorem mem_nil {α} (x : α) : x ∈ @LazyList.nil α ↔ False :=
 #align lazy_list.mem_nil LazyList.mem_nil
 -/
 
-/- warning: lazy_list.mem_cons -> LazyList.mem_cons is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} (x : α) (y : α) (ys : Thunkₓ.{u1} (LazyList.{u1} α)), Iff (Membership.Mem.{u1, u1} α (LazyList.{u1} α) (LazyList.hasMem.{u1} α) x (LazyList.cons.{u1} α y ys)) (Or (Eq.{succ u1} α x y) (Membership.Mem.{u1, u1} α (LazyList.{u1} α) (LazyList.hasMem.{u1} α) x (ys Unit.unit)))
-but is expected to have type
-  forall {α : Type.{u1}} (x : α) (y : α) (ys : Thunk.{u1} (LazyList.{u1} α)), Iff (Membership.mem.{u1, u1} α (LazyList.{u1} α) (LazyList.instMembershipLazyList.{u1} α) x (LazyList.cons.{u1} α y ys)) (Or (Eq.{succ u1} α x y) (Membership.mem.{u1, u1} α (LazyList.{u1} α) (LazyList.instMembershipLazyList.{u1} α) x (Thunk.get.{u1} (LazyList.{u1} α) ys)))
-Case conversion may be inaccurate. Consider using '#align lazy_list.mem_cons LazyList.mem_consₓ'. -/
 @[simp]
 theorem mem_cons {α} (x y : α) (ys : Thunk (LazyList α)) :
     x ∈ @LazyList.cons α y ys ↔ x = y ∨ x ∈ ys () :=
   Iff.rfl
 #align lazy_list.mem_cons LazyList.mem_cons
 
-/- warning: lazy_list.forall_mem_cons -> LazyList.forall_mem_cons is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {p : α -> Prop} {a : α} {l : Thunkₓ.{u1} (LazyList.{u1} α)}, Iff (forall (x : α), (Membership.Mem.{u1, u1} α (LazyList.{u1} α) (LazyList.hasMem.{u1} α) x (LazyList.cons.{u1} α a l)) -> (p x)) (And (p a) (forall (x : α), (Membership.Mem.{u1, u1} α (LazyList.{u1} α) (LazyList.hasMem.{u1} α) x (l Unit.unit)) -> (p x)))
-but is expected to have type
-  forall {α : Type.{u1}} {p : α -> Prop} {a : α} {l : Thunk.{u1} (LazyList.{u1} α)}, Iff (forall (x : α), (Membership.mem.{u1, u1} α (LazyList.{u1} α) (LazyList.instMembershipLazyList.{u1} α) x (LazyList.cons.{u1} α a l)) -> (p x)) (And (p a) (forall (x : α), (Membership.mem.{u1, u1} α (LazyList.{u1} α) (LazyList.instMembershipLazyList.{u1} α) x (Thunk.get.{u1} (LazyList.{u1} α) l)) -> (p x)))
-Case conversion may be inaccurate. Consider using '#align lazy_list.forall_mem_cons LazyList.forall_mem_consₓ'. -/
 theorem forall_mem_cons {α} {p : α → Prop} {a : α} {l : Thunk (LazyList α)} :
     (∀ x ∈ @LazyList.cons _ a l, p x) ↔ p a ∧ ∀ x ∈ l (), p x := by
   simp only [Membership.Mem, LazyList.Mem, or_imp, forall_and, forall_eq]
Diff
@@ -57,18 +57,9 @@ def listEquivLazyList (α : Type _) : List α ≃ LazyList α
   toFun := LazyList.ofList
   invFun := LazyList.toList
   right_inv := by
-    intro
-    induction x
-    rfl
-    simp! [*]
-    ext
-    cases x
-    rfl
-  left_inv := by
-    intro
-    induction x
-    rfl
-    simp! [*]
+    intro ; induction x; rfl; simp! [*]
+    ext; cases x; rfl
+  left_inv := by intro ; induction x; rfl; simp! [*]
 #align lazy_list.list_equiv_lazy_list LazyList.listEquivLazyList
 -/
 
@@ -102,24 +93,17 @@ instance : Traversable LazyList
 instance : IsLawfulTraversable LazyList :=
   by
   apply Equiv.isLawfulTraversable' list_equiv_lazy_list <;> intros <;> skip <;> ext
-  · induction x
-    rfl
+  · induction x; rfl
     simp! [Equiv.map, Functor.map] at *
-    simp [*]
-    rfl
-  · induction x
-    rfl
+    simp [*]; rfl
+  · induction x; rfl
     simp! [Equiv.map, Functor.mapConst] at *
-    simp [*]
-    rfl
+    simp [*]; rfl
   · induction x
-    · simp! [Traversable.traverse, Equiv.traverse, functor_norm]
-      rfl
-    simp! [Equiv.map, Functor.mapConst, Traversable.traverse] at *
-    rw [x_ih]
+    · simp! [Traversable.traverse, Equiv.traverse, functor_norm]; rfl
+    simp! [Equiv.map, Functor.mapConst, Traversable.traverse] at *; rw [x_ih]
     dsimp [list_equiv_lazy_list, Equiv.traverse, to_list, Traversable.traverse, List.traverse]
-    simp! [functor_norm]
-    rfl
+    simp! [functor_norm]; rfl
 
 #print LazyList.init /-
 /-- `init xs`, if `xs` non-empty, drops the last element of the list.
@@ -221,13 +205,8 @@ theorem append_bind {α β} (xs : LazyList α) (ys : Thunk (LazyList α)) (f : 
 
 instance : LawfulMonad LazyList
     where
-  pure_bind := by
-    intros
-    apply append_nil
-  bind_assoc := by
-    intros
-    dsimp [(· >>= ·)]
-    induction x <;> simp [LazyList.bind, append_bind, *]
+  pure_bind := by intros ; apply append_nil
+  bind_assoc := by intros ; dsimp [(· >>= ·)]; induction x <;> simp [LazyList.bind, append_bind, *]
   id_map := by
     intros
     simp [(· <$> ·)]
Diff
@@ -260,7 +260,7 @@ instance {α} : Membership α (LazyList α) :=
 
 #print LazyList.Mem.decidable /-
 instance Mem.decidable {α} [DecidableEq α] (x : α) : ∀ xs : LazyList α, Decidable (x ∈ xs)
-  | LazyList.nil => Decidable.false
+  | LazyList.nil => decidableFalse
   | LazyList.cons y ys =>
     if h : x = y then Decidable.isTrue (Or.inl h)
     else decidable_of_decidable_of_iff (mem.decidable (ys ())) (by simp [*, (· ∈ ·), LazyList.Mem])

Changes in mathlib4

mathlib3
mathlib4
chore: remove unnecessary cdots (#12417)

These · are scoping when there is a single active goal.

These were found using a modification of the linter at #12339.

Diff
@@ -84,7 +84,7 @@ instance : LawfulTraversable LazyList := by
     · simp only [List.traverse, map_pure]; rfl
     · replace ih : tl.get.traverse f = ofList <$> tl.get.toList.traverse f := ih
       simp only [traverse._eq_2, ih, Functor.map_map, seq_map_assoc, toList, List.traverse, map_seq]
-      · rfl
+      rfl
     · apply ih
 
 /-- `init xs`, if `xs` non-empty, drops the last element of the list.
chore: bump Std (#10568)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

Diff
@@ -5,7 +5,7 @@ Authors: Simon Hudon
 -/
 import Mathlib.Control.Traversable.Equiv
 import Mathlib.Control.Traversable.Instances
-import Mathlib.Data.LazyList
+import Std.Data.LazyList
 import Mathlib.Lean.Thunk
 
 #align_import data.lazy_list.basic from "leanprover-community/mathlib"@"1f0096e6caa61e9c849ec2adbd227e960e9dff58"
chore: bump to v4.3.0-rc2 (#8366)

PR contents

This is the supremum of

along with some minor fixes from failures on nightly-testing as Mathlib master is merged into it.

Note that some PRs for changes that are already compatible with the current toolchain and will be necessary have already been split out: #8380.

I am hopeful that in future we will be able to progressively merge adaptation PRs into a bump/v4.X.0 branch, so we never end up with a "big merge" like this. However one of these adaptation PRs (#8056) predates my new scheme for combined CI, and it wasn't possible to keep that PR viable in the meantime.

Lean PRs involved in this bump

In particular this includes adjustments for the Lean PRs

leanprover/lean4#2778

We can get rid of all the

local macro_rules | `($x ^ $y) => `(HPow.hPow $x $y) -- Porting note: See issue [lean4#2220](https://github.com/leanprover/lean4/pull/2220)

macros across Mathlib (and in any projects that want to write natural number powers of reals).

leanprover/lean4#2722

Changes the default behaviour of simp to (config := {decide := false}). This makes simp (and consequentially norm_num) less powerful, but also more consistent, and less likely to blow up in long failures. This requires a variety of changes: changing some previously by simp or norm_num to decide or rfl, or adding (config := {decide := true}).

leanprover/lean4#2783

This changed the behaviour of simp so that simp [f] will only unfold "fully applied" occurrences of f. The old behaviour can be recovered with simp (config := { unfoldPartialApp := true }). We may in future add a syntax for this, e.g. simp [!f]; please provide feedback! In the meantime, we have made the following changes:

  • switching to using explicit lemmas that have the intended level of application
  • (config := { unfoldPartialApp := true }) in some places, to recover the old behaviour
  • Using @[eqns] to manually adjust the equation lemmas for a particular definition, recovering the old behaviour just for that definition. See #8371, where we do this for Function.comp and Function.flip.

This change in Lean may require further changes down the line (e.g. adding the !f syntax, and/or upstreaming the special treatment for Function.comp and Function.flip, and/or removing this special treatment). Please keep an open and skeptical mind about these changes!

Co-authored-by: leanprover-community-mathlib4-bot <leanprover-community-mathlib4-bot@users.noreply.github.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Mauricio Collares <mauricio@collares.org>

Diff
@@ -82,7 +82,7 @@ instance : LawfulTraversable LazyList := by
   · simp only [traverse, Equiv.traverse, listEquivLazyList, Equiv.coe_fn_mk, Equiv.coe_fn_symm_mk]
     induction' xs using LazyList.rec with _ tl ih _ ih
     · simp only [List.traverse, map_pure]; rfl
-    · have : tl.get.traverse f = ofList <$> tl.get.toList.traverse f := ih
+    · replace ih : tl.get.traverse f = ofList <$> tl.get.toList.traverse f := ih
       simp only [traverse._eq_2, ih, Functor.map_map, seq_map_assoc, toList, List.traverse, map_seq]
       · rfl
     · apply ih
chore: banish Type _ and Sort _ (#6499)

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

Diff
@@ -26,7 +26,7 @@ namespace LazyList
 open Function
 
 /-- Isomorphism between strict and lazy lists. -/
-def listEquivLazyList (α : Type _) : List α ≃ LazyList α where
+def listEquivLazyList (α : Type*) : List α ≃ LazyList α where
   toFun := LazyList.ofList
   invFun := LazyList.toList
   right_inv := by
feat: products of Thunks (#6096)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

Diff
@@ -6,6 +6,7 @@ Authors: Simon Hudon
 import Mathlib.Control.Traversable.Equiv
 import Mathlib.Control.Traversable.Instances
 import Mathlib.Data.LazyList
+import Mathlib.Lean.Thunk
 
 #align_import data.lazy_list.basic from "leanprover-community/mathlib"@"1f0096e6caa61e9c849ec2adbd227e960e9dff58"
 
@@ -20,27 +21,6 @@ TODO: move the `LazyList.lean` file from core to mathlib.
 
 universe u
 
-namespace Thunk
-
--- Porting note: `Thunk.pure` appears to do the same thing.
-#align thunk.mk Thunk.pure
-
--- Porting note: Added `Thunk.ext` to get `ext` tactic to work.
-@[ext]
-theorem ext {α : Type u} {a b : Thunk α} (eq : a.get = b.get) : a = b := by
-  have ⟨_⟩ := a
-  have ⟨_⟩ := b
-  congr
-  exact funext fun _ ↦ eq
-
-instance {α : Type u} [DecidableEq α] : DecidableEq (Thunk α) := by
-  intro a b
-  have : a = b ↔ a.get = b.get := ⟨by intro x; rw [x], by intro; ext; assumption⟩
-  rw [this]
-  infer_instance
-
-end Thunk
-
 namespace LazyList
 
 open Function
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

Diff
@@ -2,16 +2,13 @@
 Copyright (c) 2018 Simon Hudon. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Simon Hudon
-
-! This file was ported from Lean 3 source module data.lazy_list.basic
-! leanprover-community/mathlib commit 1f0096e6caa61e9c849ec2adbd227e960e9dff58
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Control.Traversable.Equiv
 import Mathlib.Control.Traversable.Instances
 import Mathlib.Data.LazyList
 
+#align_import data.lazy_list.basic from "leanprover-community/mathlib"@"1f0096e6caa61e9c849ec2adbd227e960e9dff58"
+
 /-!
 ## Definitions on lazy lists
 
style: IsLawfulTraversable -> LawfulTraversable (#5737)
Diff
@@ -89,7 +89,7 @@ instance : Traversable LazyList where
   map := @LazyList.traverse Id _
   traverse := @LazyList.traverse
 
-instance : IsLawfulTraversable LazyList := by
+instance : LawfulTraversable LazyList := by
   apply Equiv.isLawfulTraversable' listEquivLazyList <;> intros <;> ext <;> rename_i f xs
   · induction' xs using LazyList.rec with _ _ _ _ ih
     · rfl
chore: tidy various files (#3530)
Diff
@@ -49,21 +49,20 @@ namespace LazyList
 open Function
 
 /-- Isomorphism between strict and lazy lists. -/
-def listEquivLazyList (α : Type _) : List α ≃ LazyList α
-    where
+def listEquivLazyList (α : Type _) : List α ≃ LazyList α where
   toFun := LazyList.ofList
   invFun := LazyList.toList
   right_inv := by
     intro xs
     induction' xs using LazyList.rec with _ _ _ _ ih
-    rfl
-    simpa only [toList, ofList, cons.injEq, true_and]
-    rw [Thunk.get, ih]
+    · rfl
+    · simpa only [toList, ofList, cons.injEq, true_and]
+    · rw [Thunk.get, ih]
   left_inv := by
     intro xs
     induction xs
-    rfl
-    simpa [ofList, toList]
+    · rfl
+    · simpa [ofList, toList]
 #align lazy_list.list_equiv_lazy_list LazyList.listEquivLazyList
 
 -- Porting note: Added a name to make the recursion work.
@@ -86,31 +85,30 @@ protected def traverse {m : Type u → Type u} [Applicative m] {α β : Type u}
   | LazyList.cons x xs => LazyList.cons <$> f x <*> Thunk.pure <$> xs.get.traverse f
 #align lazy_list.traverse LazyList.traverse
 
-instance : Traversable LazyList
-    where
+instance : Traversable LazyList where
   map := @LazyList.traverse Id _
   traverse := @LazyList.traverse
 
 instance : IsLawfulTraversable LazyList := by
   apply Equiv.isLawfulTraversable' listEquivLazyList <;> intros <;> ext <;> rename_i f xs
   · induction' xs using LazyList.rec with _ _ _ _ ih
-    rfl
-    simpa only [Equiv.map, Functor.map, listEquivLazyList, Equiv.coe_fn_symm_mk, Equiv.coe_fn_mk,
-      LazyList.traverse, Seq.seq, toList, ofList, cons.injEq, true_and]
-    ext; apply ih
+    · rfl
+    · simpa only [Equiv.map, Functor.map, listEquivLazyList, Equiv.coe_fn_symm_mk, Equiv.coe_fn_mk,
+        LazyList.traverse, Seq.seq, toList, ofList, cons.injEq, true_and]
+    · ext; apply ih
   · simp only [Equiv.map, listEquivLazyList, Equiv.coe_fn_symm_mk, Equiv.coe_fn_mk, comp,
       Functor.mapConst]
     induction' xs using LazyList.rec with _ _ _ _ ih
-    rfl
-    simpa only [toList, ofList, LazyList.traverse, Seq.seq, Functor.map, cons.injEq, true_and]
-    congr; apply ih
+    · rfl
+    · simpa only [toList, ofList, LazyList.traverse, Seq.seq, Functor.map, cons.injEq, true_and]
+    · congr; apply ih
   · simp only [traverse, Equiv.traverse, listEquivLazyList, Equiv.coe_fn_mk, Equiv.coe_fn_symm_mk]
     induction' xs using LazyList.rec with _ tl ih _ ih
-    simp only [List.traverse, map_pure]; rfl
-    have : tl.get.traverse f = ofList <$> tl.get.toList.traverse f := ih
-    simp only [traverse._eq_2, ih, Functor.map_map, seq_map_assoc, toList, List.traverse, map_seq]
-    . rfl
-    . apply ih
+    · simp only [List.traverse, map_pure]; rfl
+    · have : tl.get.traverse f = ofList <$> tl.get.toList.traverse f := ih
+      simp only [traverse._eq_2, ih, Functor.map_map, seq_map_assoc, toList, List.traverse, map_seq]
+      · rfl
+    · apply ih
 
 /-- `init xs`, if `xs` non-empty, drops the last element of the list.
 Otherwise, return the empty list. -/
@@ -167,17 +165,17 @@ instance : Monad LazyList where
 -- Porting note: Added `Thunk.pure` to definition.
 theorem append_nil {α} (xs : LazyList α) : xs.append (Thunk.pure LazyList.nil) = xs := by
   induction' xs using LazyList.rec with _ _ _ _ ih
-  . rfl
-  . simpa only [append, cons.injEq, true_and]
-  . ext; apply ih
+  · rfl
+  · simpa only [append, cons.injEq, true_and]
+  · ext; apply ih
 #align lazy_list.append_nil LazyList.append_nil
 
 theorem append_assoc {α} (xs ys zs : LazyList α) :
     (xs.append ys).append zs = xs.append (ys.append zs) := by
   induction' xs using LazyList.rec with _ _ _ _ ih
-  . rfl
-  . simpa only [append, cons.injEq, true_and]
-  . ext; apply ih
+  · rfl
+  · simpa only [append, cons.injEq, true_and]
+  · ext; apply ih
 #align lazy_list.append_assoc LazyList.append_assoc
 
 -- Porting note: Rewrote proof of `append_bind`.
@@ -197,9 +195,9 @@ instance : LawfulMonad LazyList := LawfulMonad.mk'
     intro _ _ f xs
     simp only [bind, Functor.map, pure, singleton]
     induction' xs using LazyList.rec with _ _ _ _ ih
-    . rfl
-    . simp only [bind._eq_2, append, traverse._eq_2, Id.map_eq, cons.injEq, true_and]; congr
-    . ext; apply ih)
+    · rfl
+    · simp only [bind._eq_2, append, traverse._eq_2, Id.map_eq, cons.injEq, true_and]; congr
+    · ext; apply ih)
   (pure_bind := by
     intros
     simp only [bind, pure, singleton, LazyList.bind]
@@ -207,15 +205,15 @@ instance : LawfulMonad LazyList := LawfulMonad.mk'
   (bind_assoc := by
     intro _ _ _ xs _ _
     induction' xs using LazyList.rec with _ _ _ _ ih
-    . rfl
-    . simp only [bind, LazyList.bind, append_bind]; congr
-    . congr; funext; apply ih)
+    · rfl
+    · simp only [bind, LazyList.bind, append_bind]; congr
+    · congr; funext; apply ih)
   (id_map := by
     intro _ xs
     induction' xs using LazyList.rec with _ _ _ _ ih
-    . rfl
-    . simpa only [Functor.map, traverse._eq_2, id_eq, Id.map_eq, Seq.seq, cons.injEq, true_and]
-    . ext; apply ih)
+    · rfl
+    · simpa only [Functor.map, traverse._eq_2, id_eq, Id.map_eq, Seq.seq, cons.injEq, true_and]
+    · ext; apply ih)
 
 -- Porting note: This is a dubious translation. In the warning, u1 and u3 are swapped.
 /-- Try applying function `f` to every element of a `LazyList` and
Refactor uses to rename_i that have easy fixes (#2429)
Diff
@@ -55,10 +55,10 @@ def listEquivLazyList (α : Type _) : List α ≃ LazyList α
   invFun := LazyList.toList
   right_inv := by
     intro xs
-    induction xs using LazyList.rec
+    induction' xs using LazyList.rec with _ _ _ _ ih
     rfl
     simpa only [toList, ofList, cons.injEq, true_and]
-    rename_i ih; rw [Thunk.get, ih]
+    rw [Thunk.get, ih]
   left_inv := by
     intro xs
     induction xs
@@ -93,25 +93,24 @@ instance : Traversable LazyList
 
 instance : IsLawfulTraversable LazyList := by
   apply Equiv.isLawfulTraversable' listEquivLazyList <;> intros <;> ext <;> rename_i f xs
-  · induction xs using LazyList.rec
+  · induction' xs using LazyList.rec with _ _ _ _ ih
     rfl
     simpa only [Equiv.map, Functor.map, listEquivLazyList, Equiv.coe_fn_symm_mk, Equiv.coe_fn_mk,
       LazyList.traverse, Seq.seq, toList, ofList, cons.injEq, true_and]
-    rename_i ih; ext; apply ih
+    ext; apply ih
   · simp only [Equiv.map, listEquivLazyList, Equiv.coe_fn_symm_mk, Equiv.coe_fn_mk, comp,
       Functor.mapConst]
-    induction xs using LazyList.rec
+    induction' xs using LazyList.rec with _ _ _ _ ih
     rfl
     simpa only [toList, ofList, LazyList.traverse, Seq.seq, Functor.map, cons.injEq, true_and]
-    rename_i ih; congr; apply ih
+    congr; apply ih
   · simp only [traverse, Equiv.traverse, listEquivLazyList, Equiv.coe_fn_mk, Equiv.coe_fn_symm_mk]
-    induction xs using LazyList.rec
+    induction' xs using LazyList.rec with _ tl ih _ ih
     simp only [List.traverse, map_pure]; rfl
-    rename_i tl ih
     have : tl.get.traverse f = ofList <$> tl.get.toList.traverse f := ih
     simp only [traverse._eq_2, ih, Functor.map_map, seq_map_assoc, toList, List.traverse, map_seq]
-    rfl
-    rename_i ih; apply ih
+    . rfl
+    . apply ih
 
 /-- `init xs`, if `xs` non-empty, drops the last element of the list.
 Otherwise, return the empty list. -/
@@ -167,16 +166,18 @@ instance : Monad LazyList where
 
 -- Porting note: Added `Thunk.pure` to definition.
 theorem append_nil {α} (xs : LazyList α) : xs.append (Thunk.pure LazyList.nil) = xs := by
-  induction xs using LazyList.rec; rfl
-  simpa only [append, cons.injEq, true_and]
-  ext; rename_i ih; apply ih
+  induction' xs using LazyList.rec with _ _ _ _ ih
+  . rfl
+  . simpa only [append, cons.injEq, true_and]
+  . ext; apply ih
 #align lazy_list.append_nil LazyList.append_nil
 
 theorem append_assoc {α} (xs ys zs : LazyList α) :
     (xs.append ys).append zs = xs.append (ys.append zs) := by
-  induction xs using LazyList.rec; rfl
-  simpa only [append, cons.injEq, true_and]
-  ext; rename_i ih; apply ih
+  induction' xs using LazyList.rec with _ _ _ _ ih
+  . rfl
+  . simpa only [append, cons.injEq, true_and]
+  . ext; apply ih
 #align lazy_list.append_assoc LazyList.append_assoc
 
 -- Porting note: Rewrote proof of `append_bind`.
@@ -195,23 +196,26 @@ instance : LawfulMonad LazyList := LawfulMonad.mk'
   (bind_pure_comp := by
     intro _ _ f xs
     simp only [bind, Functor.map, pure, singleton]
-    induction xs using LazyList.rec; rfl
-    simp only [bind._eq_2, append, traverse._eq_2, Id.map_eq, cons.injEq, true_and]; congr
-    rename_i ih; ext; apply ih)
+    induction' xs using LazyList.rec with _ _ _ _ ih
+    . rfl
+    . simp only [bind._eq_2, append, traverse._eq_2, Id.map_eq, cons.injEq, true_and]; congr
+    . ext; apply ih)
   (pure_bind := by
     intros
     simp only [bind, pure, singleton, LazyList.bind]
     apply append_nil)
   (bind_assoc := by
-    intros; rename_i xs _ _
-    induction xs using LazyList.rec; rfl
-    simp only [bind, LazyList.bind, append_bind]; congr
-    rename_i ih; congr; funext; apply ih)
+    intro _ _ _ xs _ _
+    induction' xs using LazyList.rec with _ _ _ _ ih
+    . rfl
+    . simp only [bind, LazyList.bind, append_bind]; congr
+    . congr; funext; apply ih)
   (id_map := by
     intro _ xs
-    induction xs using LazyList.rec; rfl
-    simpa only [Functor.map, traverse._eq_2, id_eq, Id.map_eq, Seq.seq, cons.injEq, true_and]
-    rename_i ih; ext; apply ih)
+    induction' xs using LazyList.rec with _ _ _ _ ih
+    . rfl
+    . simpa only [Functor.map, traverse._eq_2, id_eq, Id.map_eq, Seq.seq, cons.injEq, true_and]
+    . ext; apply ih)
 
 -- Porting note: This is a dubious translation. In the warning, u1 and u3 are swapped.
 /-- Try applying function `f` to every element of a `LazyList` and
feat: port Data.LazyList.Basic (#1776)

Dependencies 2 + 101

102 files ported (98.1%)
54552 lines ported (99.6%)
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The unported dependencies are