topology.homotopy.product | Mathlib porting status

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.

Changes in mathlib3

6a51706d

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

728ef9db

bump to nightly-2023-09-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2021 Praneeth Kolichala. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Praneeth Kolichala
 -/
-import Mathbin.Topology.Constructions
-import Mathbin.Topology.Homotopy.Path
+import Topology.Constructions
+import Topology.Homotopy.Path
 
 #align_import topology.homotopy.product from "leanprover-community/mathlib"@"728ef9dbb281241906f25cbeb30f90d83e0bb451"

728ef9db

bump to nightly-2023-07-20-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2021 Praneeth Kolichala. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Praneeth Kolichala
-
-! This file was ported from Lean 3 source module topology.homotopy.product
-! leanprover-community/mathlib commit 728ef9dbb281241906f25cbeb30f90d83e0bb451
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Topology.Constructions
 import Mathbin.Topology.Homotopy.Path
 
+#align_import topology.homotopy.product from "leanprover-community/mathlib"@"728ef9dbb281241906f25cbeb30f90d83e0bb451"
+
 /-!
 # Product of homotopies

728ef9db

bump to nightly-2023-07-04-01

mathlib commit https://github.com/leanprover-community/mathlib/commit/728ef9dbb281241906f25cbeb30f90d83e0bb451

05318d71

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Praneeth Kolichala
 
 ! This file was ported from Lean 3 source module topology.homotopy.product
-! leanprover-community/mathlib commit 6a51706df6baee825ace37c94dc9f75b64d7f035
+! leanprover-community/mathlib commit 728ef9dbb281241906f25cbeb30f90d83e0bb451
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Topology.Homotopy.Path
 /-!
 # Product of homotopies
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file, we introduce definitions for the product of
 homotopies. We show that the products of relative homotopies
 are still relative homotopies. Finally, we specialize to the case

6a51706d

bump to nightly-2023-07-01-07

mathlib commit https://github.com/leanprover-community/mathlib/commit/9240e8be927a0955b9a82c6c85ef499ee3a626b8

613b47eb

Diff

@@ -72,6 +72,7 @@ def Homotopy.pi (homotopies : ∀ i, Homotopy (f i) (g i)) : Homotopy (pi f) (pi
 #align continuous_map.homotopy.pi ContinuousMap.Homotopy.pi
 -/
 
+#print ContinuousMap.HomotopyRel.pi /-
 /-- The relative product homotopy of `homotopies` between functions `f` and `g` -/
 @[simps]
 def HomotopyRel.pi (homotopies : ∀ i : I, HomotopyRel (f i) (g i) S) :
@@ -84,6 +85,7 @@ def HomotopyRel.pi (homotopies : ∀ i : I, HomotopyRel (f i) (g i) S) :
       intro i
       exact (homotopies i).prop' t x hx }
 #align continuous_map.homotopy_rel.pi ContinuousMap.HomotopyRel.pi
+-/
 
 end Pi
 
@@ -92,6 +94,7 @@ section Prod
 variable {α β : Type _} [TopologicalSpace α] [TopologicalSpace β] {A : Type _} [TopologicalSpace A]
   {f₀ f₁ : C(A, α)} {g₀ g₁ : C(A, β)} {S : Set A}
 
+#print ContinuousMap.Homotopy.prod /-
 /-- The product of homotopies `F` and `G`,
   where `F` takes `f₀` to `f₁`  and `G` takes `g₀` to `g₁` -/
 @[simps]
@@ -101,7 +104,9 @@ def Homotopy.prod (F : Homotopy f₀ f₁) (G : Homotopy g₀ g₁) : Homotopy (
   map_zero_left' x := by simp only [prod_eval, homotopy.apply_zero]
   map_one_left' x := by simp only [prod_eval, homotopy.apply_one]
 #align continuous_map.homotopy.prod ContinuousMap.Homotopy.prod
+-/
 
+#print ContinuousMap.HomotopyRel.prod /-
 /-- The relative product of homotopies `F` and `G`,
   where `F` takes `f₀` to `f₁`  and `G` takes `g₀` to `g₁` -/
 @[simps]
@@ -115,6 +120,7 @@ def HomotopyRel.prod (F : HomotopyRel f₀ f₁ S) (G : HomotopyRel g₀ g₁ S)
       simp only [coe_mk, prod_eval, Prod.mk.inj_iff, homotopy.prod] at hF hG ⊢
       exact ⟨⟨hF.1, hG.1⟩, ⟨hF.2, hG.2⟩⟩ }
 #align continuous_map.homotopy_rel.prod ContinuousMap.HomotopyRel.prod
+-/
 
 end Prod
 
@@ -130,23 +136,30 @@ section Pi
 
 variable {ι : Type _} {X : ι → Type _} [∀ i, TopologicalSpace (X i)] {as bs cs : ∀ i, X i}
 
+#print Path.Homotopic.piHomotopy /-
 /-- The product of a family of path homotopies. This is just a specialization of `homotopy_rel` -/
 def piHomotopy (γ₀ γ₁ : ∀ i, Path (as i) (bs i)) (H : ∀ i, Path.Homotopy (γ₀ i) (γ₁ i)) :
     Path.Homotopy (Path.pi γ₀) (Path.pi γ₁) :=
   ContinuousMap.HomotopyRel.pi H
 #align path.homotopic.pi_homotopy Path.Homotopic.piHomotopy
+-/
 
+#print Path.Homotopic.pi /-
 /-- The product of a family of path homotopy classes -/
 def pi (γ : ∀ i, Path.Homotopic.Quotient (as i) (bs i)) : Path.Homotopic.Quotient as bs :=
   (Quotient.map Path.pi fun x y hxy =>
       Nonempty.map (piHomotopy x y) (Classical.nonempty_pi.mpr hxy))
     (Quotient.choice γ)
 #align path.homotopic.pi Path.Homotopic.pi
+-/
 
+#print Path.Homotopic.pi_lift /-
 theorem pi_lift (γ : ∀ i, Path (as i) (bs i)) : (Path.Homotopic.pi fun i => ⟦γ i⟧) = ⟦Path.pi γ⟧ :=
   by unfold pi; simp
 #align path.homotopic.pi_lift Path.Homotopic.pi_lift
+-/
 
+#print Path.Homotopic.comp_pi_eq_pi_comp /-
 /-- Composition and products commute.
   This is `path.trans_pi_eq_pi_trans` descended to path homotopy classes -/
 theorem comp_pi_eq_pi_comp (γ₀ : ∀ i, Path.Homotopic.Quotient (as i) (bs i))
@@ -159,13 +172,17 @@ theorem comp_pi_eq_pi_comp (γ₀ : ∀ i, Path.Homotopic.Quotient (as i) (bs i)
   rw [← Path.Homotopic.comp_lift, Path.trans_pi_eq_pi_trans, ← pi_lift]
   rfl
 #align path.homotopic.comp_pi_eq_pi_comp Path.Homotopic.comp_pi_eq_pi_comp
+-/
 
+#print Path.Homotopic.proj /-
 /-- Abbreviation for projection onto the ith coordinate -/
 @[reducible]
 def proj (i : ι) (p : Path.Homotopic.Quotient as bs) : Path.Homotopic.Quotient (as i) (bs i) :=
   p.mapFn ⟨_, continuous_apply i⟩
 #align path.homotopic.proj Path.Homotopic.proj
+-/
 
+#print Path.Homotopic.proj_pi /-
 /-- Lemmas showing projection is the inverse of pi -/
 @[simp]
 theorem proj_pi (i : ι) (paths : ∀ i, Path.Homotopic.Quotient (as i) (bs i)) :
@@ -176,7 +193,9 @@ theorem proj_pi (i : ι) (paths : ∀ i, Path.Homotopic.Quotient (as i) (bs i))
   rw [pi_lift, ← Path.Homotopic.map_lift]
   congr; ext; rfl
 #align path.homotopic.proj_pi Path.Homotopic.proj_pi
+-/
 
+#print Path.Homotopic.pi_proj /-
 @[simp]
 theorem pi_proj (p : Path.Homotopic.Quotient as bs) : (pi fun i => proj i p) = p :=
   by
@@ -186,6 +205,7 @@ theorem pi_proj (p : Path.Homotopic.Quotient as bs) : (pi fun i => proj i p) = p
   rw [pi_lift]
   congr; ext; rfl
 #align path.homotopic.pi_proj Path.Homotopic.pi_proj
+-/
 
 end Pi
 
@@ -195,27 +215,34 @@ variable {α β : Type _} [TopologicalSpace α] [TopologicalSpace β] {a₁ a₂
   {p₁ p₁' : Path a₁ a₂} {p₂ p₂' : Path b₁ b₂} (q₁ : Path.Homotopic.Quotient a₁ a₂)
   (q₂ : Path.Homotopic.Quotient b₁ b₂)
 
+#print Path.Homotopic.prodHomotopy /-
 /-- The product of homotopies h₁ and h₂.
     This is `homotopy_rel.prod` specialized for path homotopies. -/
 def prodHomotopy (h₁ : Path.Homotopy p₁ p₁') (h₂ : Path.Homotopy p₂ p₂') :
     Path.Homotopy (p₁.Prod p₂) (p₁'.Prod p₂') :=
   ContinuousMap.HomotopyRel.prod h₁ h₂
 #align path.homotopic.prod_homotopy Path.Homotopic.prodHomotopy
+-/
 
+#print Path.Homotopic.prod /-
 /-- The product of path classes q₁ and q₂. This is `path.prod` descended to the quotient -/
 def prod (q₁ : Path.Homotopic.Quotient a₁ a₂) (q₂ : Path.Homotopic.Quotient b₁ b₂) :
     Path.Homotopic.Quotient (a₁, b₁) (a₂, b₂) :=
   Quotient.map₂ Path.prod (fun p₁ p₁' h₁ p₂ p₂' h₂ => Nonempty.map2 prodHomotopy h₁ h₂) q₁ q₂
 #align path.homotopic.prod Path.Homotopic.prod
+-/
 
 variable (p₁ p₁' p₂ p₂')
 
+#print Path.Homotopic.prod_lift /-
 theorem prod_lift : prod ⟦p₁⟧ ⟦p₂⟧ = ⟦p₁.Prod p₂⟧ :=
   rfl
 #align path.homotopic.prod_lift Path.Homotopic.prod_lift
+-/
 
 variable (r₁ : Path.Homotopic.Quotient a₂ a₃) (r₂ : Path.Homotopic.Quotient b₂ b₃)
 
+#print Path.Homotopic.comp_prod_eq_prod_comp /-
 /-- Products commute with path composition.
     This is `trans_prod_eq_prod_trans` descended to the quotient.-/
 theorem comp_prod_eq_prod_comp : prod q₁ q₂ ⬝ prod r₁ r₂ = prod (q₁ ⬝ r₁) (q₂ ⬝ r₂) :=
@@ -225,21 +252,27 @@ theorem comp_prod_eq_prod_comp : prod q₁ q₂ ⬝ prod r₁ r₂ = prod (q₁
   intros
   simp only [prod_lift, ← Path.Homotopic.comp_lift, Path.trans_prod_eq_prod_trans]
 #align path.homotopic.comp_prod_eq_prod_comp Path.Homotopic.comp_prod_eq_prod_comp
+-/
 
 variable {c₁ c₂ : α × β}
 
+#print Path.Homotopic.projLeft /-
 /-- Abbreviation for projection onto the left coordinate of a path class -/
 @[reducible]
 def projLeft (p : Path.Homotopic.Quotient c₁ c₂) : Path.Homotopic.Quotient c₁.1 c₂.1 :=
   p.mapFn ⟨_, continuous_fst⟩
 #align path.homotopic.proj_left Path.Homotopic.projLeft
+-/
 
+#print Path.Homotopic.projRight /-
 /-- Abbreviation for projection onto the right coordinate of a path class -/
 @[reducible]
 def projRight (p : Path.Homotopic.Quotient c₁ c₂) : Path.Homotopic.Quotient c₁.2 c₂.2 :=
   p.mapFn ⟨_, continuous_snd⟩
 #align path.homotopic.proj_right Path.Homotopic.projRight
+-/
 
+#print Path.Homotopic.projLeft_prod /-
 /-- Lemmas showing projection is the inverse of product -/
 @[simp]
 theorem projLeft_prod : projLeft (prod q₁ q₂) = q₁ :=
@@ -250,7 +283,9 @@ theorem projLeft_prod : projLeft (prod q₁ q₂) = q₁ :=
   rw [prod_lift, ← Path.Homotopic.map_lift]
   congr; ext; rfl
 #align path.homotopic.proj_left_prod Path.Homotopic.projLeft_prod
+-/
 
+#print Path.Homotopic.projRight_prod /-
 @[simp]
 theorem projRight_prod : projRight (prod q₁ q₂) = q₂ :=
   by
@@ -260,7 +295,9 @@ theorem projRight_prod : projRight (prod q₁ q₂) = q₂ :=
   rw [prod_lift, ← Path.Homotopic.map_lift]
   congr; ext; rfl
 #align path.homotopic.proj_right_prod Path.Homotopic.projRight_prod
+-/
 
+#print Path.Homotopic.prod_projLeft_projRight /-
 @[simp]
 theorem prod_projLeft_projRight (p : Path.Homotopic.Quotient (a₁, b₁) (a₂, b₂)) :
     prod (projLeft p) (projRight p) = p :=
@@ -271,6 +308,7 @@ theorem prod_projLeft_projRight (p : Path.Homotopic.Quotient (a₁, b₁) (a₂,
   simp only [← Path.Homotopic.map_lift, prod_lift]
   congr; ext <;> rfl
 #align path.homotopic.prod_proj_left_proj_right Path.Homotopic.prod_projLeft_projRight
+-/
 
 end Prod

6a51706d

bump to nightly-2023-06-13-21

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

829520ac

Diff

@@ -61,6 +61,7 @@ section Pi
 variable {I A : Type _} {X : I → Type _} [∀ i, TopologicalSpace (X i)] [TopologicalSpace A]
   {f g : ∀ i, C(A, X i)} {S : Set A}
 
+#print ContinuousMap.Homotopy.pi /-
 /-- The product homotopy of `homotopies` between functions `f` and `g` -/
 @[simps]
 def Homotopy.pi (homotopies : ∀ i, Homotopy (f i) (g i)) : Homotopy (pi f) (pi g)
@@ -69,6 +70,7 @@ def Homotopy.pi (homotopies : ∀ i, Homotopy (f i) (g i)) : Homotopy (pi f) (pi
   map_zero_left' t := by ext i; simp only [pi_eval, homotopy.apply_zero]
   map_one_left' t := by ext i; simp only [pi_eval, homotopy.apply_one]
 #align continuous_map.homotopy.pi ContinuousMap.Homotopy.pi
+-/
 
 /-- The relative product homotopy of `homotopies` between functions `f` and `g` -/
 @[simps]
@@ -122,7 +124,6 @@ namespace Path.Homotopic
 
 attribute [local instance] Path.Homotopic.setoid
 
--- mathport name: «expr ⬝ »
 local infixl:70 " ⬝ " => Quotient.comp
 
 section Pi

6a51706d

bump to nightly-2023-06-01-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

b9c87c70

Diff

@@ -110,7 +110,7 @@ def HomotopyRel.prod (F : HomotopyRel f₀ f₁ S) (G : HomotopyRel g₀ g₁ S)
       intro t x hx
       have hF := F.prop' t x hx
       have hG := G.prop' t x hx
-      simp only [coe_mk, prod_eval, Prod.mk.inj_iff, homotopy.prod] at hF hG⊢
+      simp only [coe_mk, prod_eval, Prod.mk.inj_iff, homotopy.prod] at hF hG ⊢
       exact ⟨⟨hF.1, hG.1⟩, ⟨hF.2, hG.2⟩⟩ }
 #align continuous_map.homotopy_rel.prod ContinuousMap.HomotopyRel.prod
 
@@ -171,19 +171,19 @@ theorem proj_pi (i : ι) (paths : ∀ i, Path.Homotopic.Quotient (as i) (bs i))
     proj i (pi paths) = paths i :=
   by
   apply Quotient.induction_on_pi paths
-  intro ; unfold proj
+  intro; unfold proj
   rw [pi_lift, ← Path.Homotopic.map_lift]
-  congr ; ext; rfl
+  congr; ext; rfl
 #align path.homotopic.proj_pi Path.Homotopic.proj_pi
 
 @[simp]
 theorem pi_proj (p : Path.Homotopic.Quotient as bs) : (pi fun i => proj i p) = p :=
   by
   apply Quotient.inductionOn p
-  intro ; unfold proj
+  intro; unfold proj
   simp_rw [← Path.Homotopic.map_lift]
   rw [pi_lift]
-  congr ; ext; rfl
+  congr; ext; rfl
 #align path.homotopic.pi_proj Path.Homotopic.pi_proj
 
 end Pi
@@ -247,7 +247,7 @@ theorem projLeft_prod : projLeft (prod q₁ q₂) = q₁ :=
   intro p₁ p₂
   unfold proj_left
   rw [prod_lift, ← Path.Homotopic.map_lift]
-  congr ; ext; rfl
+  congr; ext; rfl
 #align path.homotopic.proj_left_prod Path.Homotopic.projLeft_prod
 
 @[simp]
@@ -257,7 +257,7 @@ theorem projRight_prod : projRight (prod q₁ q₂) = q₂ :=
   intro p₁ p₂
   unfold proj_right
   rw [prod_lift, ← Path.Homotopic.map_lift]
-  congr ; ext; rfl
+  congr; ext; rfl
 #align path.homotopic.proj_right_prod Path.Homotopic.projRight_prod
 
 @[simp]
@@ -268,7 +268,7 @@ theorem prod_projLeft_projRight (p : Path.Homotopic.Quotient (a₁, b₁) (a₂,
   intro p'
   unfold proj_left; unfold proj_right
   simp only [← Path.Homotopic.map_lift, prod_lift]
-  congr ; ext <;> rfl
+  congr; ext <;> rfl
 #align path.homotopic.prod_proj_left_proj_right Path.Homotopic.prod_projLeft_projRight
 
 end Prod

6a51706d

bump to nightly-2023-05-28-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

ba5d8b97

Diff

@@ -61,12 +61,6 @@ section Pi
 variable {I A : Type _} {X : I → Type _} [∀ i, TopologicalSpace (X i)] [TopologicalSpace A]
   {f g : ∀ i, C(A, X i)} {S : Set A}
 
-/- warning: continuous_map.homotopy.pi -> ContinuousMap.Homotopy.pi is a dubious translation:
-lean 3 declaration is
-  forall {I : Type.{u1}} {A : Type.{u2}} {X : I -> Type.{u3}} [_inst_1 : forall (i : I), TopologicalSpace.{u3} (X i)] [_inst_2 : TopologicalSpace.{u2} A] {f : forall (i : I), ContinuousMap.{u2, u3} A (X i) _inst_2 (_inst_1 i)} {g : forall (i : I), ContinuousMap.{u2, u3} A (X i) _inst_2 (_inst_1 i)}, (forall (i : I), ContinuousMap.Homotopy.{u2, u3} A (X i) _inst_2 (_inst_1 i) (f i) (g i)) -> (ContinuousMap.Homotopy.{u2, max u1 u3} A (forall (i : I), X i) _inst_2 (Pi.topologicalSpace.{u1, u3} I (fun (i : I) => X i) (fun (a : I) => _inst_1 a)) (ContinuousMap.pi.{u1, u2, u3} I A (fun (i : I) => X i) _inst_2 (fun (i : I) => _inst_1 i) f) (ContinuousMap.pi.{u1, u2, u3} I A (fun (i : I) => X i) _inst_2 (fun (a : I) => _inst_1 a) g))
-but is expected to have type
-  forall {I : Type.{u1}} [A : TopologicalSpace.{u1} I] {X : Type.{u2}} {_inst_1 : X -> Type.{u3}} [_inst_2 : forall (i : X), TopologicalSpace.{u3} (_inst_1 i)] {f : forall (i : X), ContinuousMap.{u1, u3} I (_inst_1 i) A (_inst_2 i)} {g : forall (i : X), ContinuousMap.{u1, u3} I (_inst_1 i) A (_inst_2 i)}, (forall (i : X), ContinuousMap.Homotopy.{u1, u3} I (_inst_1 i) A (_inst_2 i) (f i) (g i)) -> (ContinuousMap.Homotopy.{u1, max u3 u2} I (forall (i : X), _inst_1 i) A (Pi.topologicalSpace.{u2, u3} X (fun (i : X) => _inst_1 i) (fun (a : X) => _inst_2 a)) (ContinuousMap.pi.{u2, u1, u3} X I (fun (i : X) => _inst_1 i) A (fun (i : X) => _inst_2 i) f) (ContinuousMap.pi.{u2, u1, u3} X I (fun (i : X) => _inst_1 i) A (fun (a : X) => _inst_2 a) g))
-Case conversion may be inaccurate. Consider using '#align continuous_map.homotopy.pi ContinuousMap.Homotopy.piₓ'. -/
 /-- The product homotopy of `homotopies` between functions `f` and `g` -/
 @[simps]
 def Homotopy.pi (homotopies : ∀ i, Homotopy (f i) (g i)) : Homotopy (pi f) (pi g)

6a51706d

bump to nightly-2023-05-28-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6797a637

Diff

@@ -72,12 +72,8 @@ Case conversion may be inaccurate. Consider using '#align continuous_map.homotop
 def Homotopy.pi (homotopies : ∀ i, Homotopy (f i) (g i)) : Homotopy (pi f) (pi g)
     where
   toFun t i := homotopies i t
-  map_zero_left' t := by
-    ext i
-    simp only [pi_eval, homotopy.apply_zero]
-  map_one_left' t := by
-    ext i
-    simp only [pi_eval, homotopy.apply_one]
+  map_zero_left' t := by ext i; simp only [pi_eval, homotopy.apply_zero]
+  map_one_left' t := by ext i; simp only [pi_eval, homotopy.apply_one]
 #align continuous_map.homotopy.pi ContinuousMap.Homotopy.pi
 
 /-- The relative product homotopy of `homotopies` between functions `f` and `g` -/
@@ -153,9 +149,7 @@ def pi (γ : ∀ i, Path.Homotopic.Quotient (as i) (bs i)) : Path.Homotopic.Quot
 #align path.homotopic.pi Path.Homotopic.pi
 
 theorem pi_lift (γ : ∀ i, Path (as i) (bs i)) : (Path.Homotopic.pi fun i => ⟦γ i⟧) = ⟦Path.pi γ⟧ :=
-  by
-  unfold pi
-  simp
+  by unfold pi; simp
 #align path.homotopic.pi_lift Path.Homotopic.pi_lift
 
 /-- Composition and products commute.

6a51706d

bump to nightly-2023-04-17-12

mathlib commit https://github.com/leanprover-community/mathlib/commit/17ad94b4953419f3e3ce3e77da3239c62d1d09f0

ab6befdb

Diff

@@ -61,6 +61,12 @@ section Pi
 variable {I A : Type _} {X : I → Type _} [∀ i, TopologicalSpace (X i)] [TopologicalSpace A]
   {f g : ∀ i, C(A, X i)} {S : Set A}
 
+/- warning: continuous_map.homotopy.pi -> ContinuousMap.Homotopy.pi is a dubious translation:
+lean 3 declaration is
+  forall {I : Type.{u1}} {A : Type.{u2}} {X : I -> Type.{u3}} [_inst_1 : forall (i : I), TopologicalSpace.{u3} (X i)] [_inst_2 : TopologicalSpace.{u2} A] {f : forall (i : I), ContinuousMap.{u2, u3} A (X i) _inst_2 (_inst_1 i)} {g : forall (i : I), ContinuousMap.{u2, u3} A (X i) _inst_2 (_inst_1 i)}, (forall (i : I), ContinuousMap.Homotopy.{u2, u3} A (X i) _inst_2 (_inst_1 i) (f i) (g i)) -> (ContinuousMap.Homotopy.{u2, max u1 u3} A (forall (i : I), X i) _inst_2 (Pi.topologicalSpace.{u1, u3} I (fun (i : I) => X i) (fun (a : I) => _inst_1 a)) (ContinuousMap.pi.{u1, u2, u3} I A (fun (i : I) => X i) _inst_2 (fun (i : I) => _inst_1 i) f) (ContinuousMap.pi.{u1, u2, u3} I A (fun (i : I) => X i) _inst_2 (fun (a : I) => _inst_1 a) g))
+but is expected to have type
+  forall {I : Type.{u1}} [A : TopologicalSpace.{u1} I] {X : Type.{u2}} {_inst_1 : X -> Type.{u3}} [_inst_2 : forall (i : X), TopologicalSpace.{u3} (_inst_1 i)] {f : forall (i : X), ContinuousMap.{u1, u3} I (_inst_1 i) A (_inst_2 i)} {g : forall (i : X), ContinuousMap.{u1, u3} I (_inst_1 i) A (_inst_2 i)}, (forall (i : X), ContinuousMap.Homotopy.{u1, u3} I (_inst_1 i) A (_inst_2 i) (f i) (g i)) -> (ContinuousMap.Homotopy.{u1, max u3 u2} I (forall (i : X), _inst_1 i) A (Pi.topologicalSpace.{u2, u3} X (fun (i : X) => _inst_1 i) (fun (a : X) => _inst_2 a)) (ContinuousMap.pi.{u2, u1, u3} X I (fun (i : X) => _inst_1 i) A (fun (i : X) => _inst_2 i) f) (ContinuousMap.pi.{u2, u1, u3} X I (fun (i : X) => _inst_1 i) A (fun (a : X) => _inst_2 a) g))
+Case conversion may be inaccurate. Consider using '#align continuous_map.homotopy.pi ContinuousMap.Homotopy.piₓ'. -/
 /-- The product homotopy of `homotopies` between functions `f` and `g` -/
 @[simps]
 def Homotopy.pi (homotopies : ∀ i, Homotopy (f i) (g i)) : Homotopy (pi f) (pi g)

6a51706d

bump to nightly-2023-02-21-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

1107b979

Changes in mathlib4

mathlib3

mathlib4

6a51706d

style: replace '.-/' by '. -/' (#11938)

Purely automatic replacement. If this is in any way controversial; I'm happy to just close this PR.

3556ded2

Diff

@@ -205,7 +205,7 @@ theorem prod_lift : prod ⟦p₁⟧ ⟦p₂⟧ = ⟦p₁.prod p₂⟧ :=
 variable (r₁ : Path.Homotopic.Quotient a₂ a₃) (r₂ : Path.Homotopic.Quotient b₂ b₃)
 
 /-- Products commute with path composition.
-    This is `trans_prod_eq_prod_trans` descended to the quotient.-/
+    This is `trans_prod_eq_prod_trans` descended to the quotient. -/
 theorem comp_prod_eq_prod_comp : prod q₁ q₂ ⬝ prod r₁ r₂ = prod (q₁ ⬝ r₁) (q₂ ⬝ r₂) := by
   apply Quotient.inductionOn₂ (motive := _) q₁ q₂
   intro a b

6a51706d

refactor: remove redundant condition in HomotopyRel (#7848)

For a homotopy F between f₀ and f₁ to be a homotopy relative to a set S, it suffices that F (t, x) = f₀ x for all x ∈ S and t : I, from which F (t, x) = f₁ x can be derived.

Also add HomotopyRel.compContinuousMap.

1beeb5e5

Diff

@@ -102,14 +102,9 @@ def Homotopy.prod (F : Homotopy f₀ f₁) (G : Homotopy g₀ g₁) :
   where `F` takes `f₀` to `f₁` and `G` takes `g₀` to `g₁` -/
 @[simps!]
 def HomotopyRel.prod (F : HomotopyRel f₀ f₁ S) (G : HomotopyRel g₀ g₁ S) :
-    HomotopyRel (prodMk f₀ g₀) (prodMk f₁ g₁) S :=
-  { Homotopy.prod F.toHomotopy G.toHomotopy with
-    prop' := by
-      intro t x hx
-      have hF := F.prop' t x hx
-      have hG := G.prop' t x hx
-      simp only [coe_mk, prod_eval, Prod.mk.inj_iff, Homotopy.prod] at hF hG⊢
-      exact ⟨⟨hF.1, hG.1⟩, ⟨hF.2, hG.2⟩⟩ }
+    HomotopyRel (prodMk f₀ g₀) (prodMk f₁ g₁) S where
+  toHomotopy := Homotopy.prod F.toHomotopy G.toHomotopy
+  prop' t x hx := Prod.ext (F.prop' t x hx) (G.prop' t x hx)
 #align continuous_map.homotopy_rel.prod ContinuousMap.HomotopyRel.prod
 
 end Prod

6a51706d

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.

32de3f67

Diff

@@ -55,7 +55,7 @@ open ContinuousMap
 
 section Pi
 
-variable {I A : Type _} {X : I → Type _} [∀ i, TopologicalSpace (X i)] [TopologicalSpace A]
+variable {I A : Type*} {X : I → Type*} [∀ i, TopologicalSpace (X i)] [TopologicalSpace A]
   {f g : ∀ i, C(A, X i)} {S : Set A}
 
 -- Porting note: this definition is already in `Topology.Homotopy.Basic`
@@ -85,7 +85,7 @@ end Pi
 
 section Prod
 
-variable {α β : Type _} [TopologicalSpace α] [TopologicalSpace β] {A : Type _} [TopologicalSpace A]
+variable {α β : Type*} [TopologicalSpace α] [TopologicalSpace β] {A : Type*} [TopologicalSpace A]
   {f₀ f₁ : C(A, α)} {g₀ g₁ : C(A, β)} {S : Set A}
 
 /-- The product of homotopies `F` and `G`,
@@ -124,7 +124,7 @@ local infixl:70 " ⬝ " => Quotient.comp
 
 section Pi
 
-variable {ι : Type _} {X : ι → Type _} [∀ i, TopologicalSpace (X i)] {as bs cs : ∀ i, X i}
+variable {ι : Type*} {X : ι → Type*} [∀ i, TopologicalSpace (X i)] {as bs cs : ∀ i, X i}
 
 /-- The product of a family of path homotopies. This is just a specialization of `HomotopyRel`. -/
 def piHomotopy (γ₀ γ₁ : ∀ i, Path (as i) (bs i)) (H : ∀ i, Path.Homotopy (γ₀ i) (γ₁ i)) :
@@ -184,7 +184,7 @@ end Pi
 
 section Prod
 
-variable {α β : Type _} [TopologicalSpace α] [TopologicalSpace β] {a₁ a₂ a₃ : α} {b₁ b₂ b₃ : β}
+variable {α β : Type*} [TopologicalSpace α] [TopologicalSpace β] {a₁ a₂ a₃ : α} {b₁ b₂ b₃ : β}
   {p₁ p₁' : Path a₁ a₂} {p₂ p₂' : Path b₁ b₂} (q₁ : Path.Homotopic.Quotient a₁ a₂)
   (q₂ : Path.Homotopic.Quotient b₁ b₂)

6a51706d

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2021 Praneeth Kolichala. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Praneeth Kolichala
-
-! This file was ported from Lean 3 source module topology.homotopy.product
-! leanprover-community/mathlib commit 6a51706df6baee825ace37c94dc9f75b64d7f035
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Topology.Constructions
 import Mathlib.Topology.Homotopy.Path
 
+#align_import topology.homotopy.product from "leanprover-community/mathlib"@"6a51706df6baee825ace37c94dc9f75b64d7f035"
+
 /-!
 # Product of homotopies

6a51706d

chore: cleanup whitespace (#5988)

Grepping for [^ .:{-] [^ :] and reviewing the results. Once I started I couldn't stop. :-)

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

12343aa5

Diff

@@ -92,7 +92,7 @@ variable {α β : Type _} [TopologicalSpace α] [TopologicalSpace β] {A : Type
   {f₀ f₁ : C(A, α)} {g₀ g₁ : C(A, β)} {S : Set A}
 
 /-- The product of homotopies `F` and `G`,
-  where `F` takes `f₀` to `f₁`  and `G` takes `g₀` to `g₁` -/
+  where `F` takes `f₀` to `f₁` and `G` takes `g₀` to `g₁` -/
 @[simps]
 def Homotopy.prod (F : Homotopy f₀ f₁) (G : Homotopy g₀ g₁) :
     Homotopy (ContinuousMap.prodMk f₀ g₀) (ContinuousMap.prodMk f₁ g₁) where
@@ -102,7 +102,7 @@ def Homotopy.prod (F : Homotopy f₀ f₁) (G : Homotopy g₀ g₁) :
 #align continuous_map.homotopy.prod ContinuousMap.Homotopy.prod
 
 /-- The relative product of homotopies `F` and `G`,
-  where `F` takes `f₀` to `f₁`  and `G` takes `g₀` to `g₁` -/
+  where `F` takes `f₀` to `f₁` and `G` takes `g₀` to `g₁` -/
 @[simps!]
 def HomotopyRel.prod (F : HomotopyRel f₀ f₁ S) (G : HomotopyRel g₀ g₁ S) :
     HomotopyRel (prodMk f₀ g₀) (prodMk f₁ g₁) S :=

6a51706d

feat: port Topology.Homotopy.Product (#3961)

Co-authored-by: ADedecker <anatolededecker@gmail.com> Co-authored-by: Matthew Ballard <matt@mrb.email> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

cef7c185

`topology.homotopy.product` ⟷ `Mathlib.Topology.Homotopy.Product`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 561

topology.homotopy.product ⟷ Mathlib.Topology.Homotopy.Product

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 561

`topology.homotopy.product` ⟷ `Mathlib.Topology.Homotopy.Product`