geometry.manifold.vector_bundle.hom | Mathlib porting status

(last sync)

feat(topology/algebra/module/strong_topology): golf arrow_congrSL introduced in #19107 (#19128)

I added more general definitions precomp and postcomp for expressing that (pre/post)-composing by a fixed continuous linear maps is continuous. These were planned about a year ago when I defined the strong topology and follow from uniform_on_fun.precomp_uniform_continuous and uniform_on_fun.postcomp_uniform_continuous.

The proof of continuity of arrow_congrSL is a direct consequence of these, so we don't have to do it by hand.

This is not really a "golf" since I added more lines than I removed, but these more general constructions will be needed at some point anyway (my use case was distribution theory) so I'm doing some proactive golfing :smile:.

Diff

@@ -70,7 +70,7 @@ begin
     simp only [continuous_linear_map_coord_change, continuous_linear_equiv.coe_coe,
       continuous_linear_equiv.arrow_congrSL_apply, comp_apply, function.comp, compL_apply,
       flip_apply, continuous_linear_equiv.symm_symm, linear_equiv.to_fun_eq_coe,
-      continuous_linear_equiv.arrow_congrₛₗ_apply, continuous_linear_map.coe_comp'] },
+      continuous_linear_map.coe_comp'] },
 end
 
 include _i₁ _i₂

e473c319

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

bump to nightly-2023-12-13-12

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

19154cfe

Diff

@@ -23,7 +23,7 @@ To do it for semilinear maps, we would need to generalize `continuous_linear_map
 
 noncomputable section
 
-open Bundle Set LocalHomeomorph ContinuousLinearMap Pretrivialization
+open Bundle Set PartialHomeomorph ContinuousLinearMap Pretrivialization
 
 open scoped Manifold Bundle
 
@@ -74,8 +74,9 @@ theorem hom_chart (y₀ y : LE₁E₂) :
     chartAt (ModelProd HB (F₁ →L[𝕜] F₂)) y₀ y =
       (chartAt HB y₀.1 y.1, inCoordinates F₁ E₁ F₂ E₂ y₀.1 y.1 y₀.1 y.1 y.2) :=
   by
-  simp_rw [FiberBundle.chartedSpace_chartAt, trans_apply, LocalHomeomorph.prod_apply,
-    Trivialization.coe_coe, LocalHomeomorph.refl_apply, Function.id_def, hom_trivializationAt_apply]
+  simp_rw [FiberBundle.chartedSpace_chartAt, trans_apply, PartialHomeomorph.prod_apply,
+    Trivialization.coe_coe, PartialHomeomorph.refl_apply, Function.id_def,
+    hom_trivializationAt_apply]
 #align hom_chart hom_chart
 -/

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) 2022 Floris van Doorn. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Floris van Doorn
 -/
-import Mathbin.Geometry.Manifold.VectorBundle.Basic
-import Mathbin.Topology.VectorBundle.Hom
+import Geometry.Manifold.VectorBundle.Basic
+import Topology.VectorBundle.Hom
 
 #align_import geometry.manifold.vector_bundle.hom from "leanprover-community/mathlib"@"2fe465deb81bcd7ccafa065bb686888a82f15372"

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) 2022 Floris van Doorn. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Floris van Doorn
-
-! This file was ported from Lean 3 source module geometry.manifold.vector_bundle.hom
-! leanprover-community/mathlib commit 2fe465deb81bcd7ccafa065bb686888a82f15372
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Geometry.Manifold.VectorBundle.Basic
 import Mathbin.Topology.VectorBundle.Hom
 
+#align_import geometry.manifold.vector_bundle.hom from "leanprover-community/mathlib"@"2fe465deb81bcd7ccafa065bb686888a82f15372"
+
 /-! # Homs of smooth vector bundles over the same base space
 
 > THIS FILE IS SYNCHRONIZED WITH MATHLIB4.

bump to nightly-2023-07-16-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/2fe465deb81bcd7ccafa065bb686888a82f15372

bb547586

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Floris van Doorn
 
 ! This file was ported from Lean 3 source module geometry.manifold.vector_bundle.hom
-! leanprover-community/mathlib commit 8905e5ed90859939681a725b00f6063e65096d95
+! leanprover-community/mathlib commit 2fe465deb81bcd7ccafa065bb686888a82f15372
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Topology.VectorBundle.Hom
 
 /-! # Homs of smooth vector bundles over the same base space
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Here we show that `bundle.continuous_linear_map` is a smooth vector bundle.
 
 Note that we only do this for bundles of linear maps, not for bundles of arbitrary semilinear maps.

bump to nightly-2023-07-11-13

mathlib commit https://github.com/leanprover-community/mathlib/commit/1a51edf13debfcbe223fa06b1cb353b9ed9751cc

05753d15

Diff

@@ -45,6 +45,7 @@ variable {𝕜 B F F₁ F₂ M M₁ M₂ : Type _} {E : B → Type _} {E₁ : B
 
 local notation "LE₁E₂" => TotalSpace (F₁ →L[𝕜] F₂) (Bundle.ContinuousLinearMap (RingHom.id 𝕜) E₁ E₂)
 
+#print smoothOn_continuousLinearMapCoordChange /-
 -- This proof is slow, especially the `simp only` and the elaboration of `h₂`.
 theorem smoothOn_continuousLinearMapCoordChange [SmoothManifoldWithCorners IB B]
     [SmoothVectorBundle F₁ E₁ IB] [SmoothVectorBundle F₂ E₂ IB] [MemTrivializationAtlas e₁]
@@ -66,7 +67,9 @@ theorem smoothOn_continuousLinearMapCoordChange [SmoothManifoldWithCorners IB B]
       ContinuousLinearEquiv.arrowCongrSL_apply, comp_apply, Function.comp, compL_apply, flip_apply,
       ContinuousLinearEquiv.symm_symm, LinearEquiv.toFun_eq_coe, ContinuousLinearMap.coe_comp']
 #align smooth_on_continuous_linear_map_coord_change smoothOn_continuousLinearMapCoordChange
+-/
 
+#print hom_chart /-
 theorem hom_chart (y₀ y : LE₁E₂) :
     chartAt (ModelProd HB (F₁ →L[𝕜] F₂)) y₀ y =
       (chartAt HB y₀.1 y.1, inCoordinates F₁ E₁ F₂ E₂ y₀.1 y.1 y₀.1 y.1 y.2) :=
@@ -74,9 +77,11 @@ theorem hom_chart (y₀ y : LE₁E₂) :
   simp_rw [FiberBundle.chartedSpace_chartAt, trans_apply, LocalHomeomorph.prod_apply,
     Trivialization.coe_coe, LocalHomeomorph.refl_apply, Function.id_def, hom_trivializationAt_apply]
 #align hom_chart hom_chart
+-/
 
 variable {IB}
 
+#print contMDiffAt_hom_bundle /-
 theorem contMDiffAt_hom_bundle (f : M → LE₁E₂) {x₀ : M} {n : ℕ∞} :
     ContMDiffAt IM (IB.Prod 𝓘(𝕜, F₁ →L[𝕜] F₂)) n f x₀ ↔
       ContMDiffAt IM IB n (fun x => (f x).1) x₀ ∧
@@ -84,7 +89,9 @@ theorem contMDiffAt_hom_bundle (f : M → LE₁E₂) {x₀ : M} {n : ℕ∞} :
           (fun x => inCoordinates F₁ E₁ F₂ E₂ (f x₀).1 (f x).1 (f x₀).1 (f x).1 (f x).2) x₀ :=
   by apply cont_mdiff_at_total_space
 #align cont_mdiff_at_hom_bundle contMDiffAt_hom_bundle
+-/
 
+#print smoothAt_hom_bundle /-
 theorem smoothAt_hom_bundle (f : M → LE₁E₂) {x₀ : M} :
     SmoothAt IM (IB.Prod 𝓘(𝕜, F₁ →L[𝕜] F₂)) f x₀ ↔
       SmoothAt IM IB (fun x => (f x).1) x₀ ∧
@@ -92,10 +99,12 @@ theorem smoothAt_hom_bundle (f : M → LE₁E₂) {x₀ : M} :
           (fun x => inCoordinates F₁ E₁ F₂ E₂ (f x₀).1 (f x).1 (f x₀).1 (f x).1 (f x).2) x₀ :=
   contMDiffAt_hom_bundle f
 #align smooth_at_hom_bundle smoothAt_hom_bundle
+-/
 
 variable [SmoothManifoldWithCorners IB B] [SmoothVectorBundle F₁ E₁ IB]
   [SmoothVectorBundle F₂ E₂ IB]
 
+#print Bundle.ContinuousLinearMap.vectorPrebundle.isSmooth /-
 instance Bundle.ContinuousLinearMap.vectorPrebundle.isSmooth :
     (Bundle.ContinuousLinearMap.vectorPrebundle (RingHom.id 𝕜) F₁ E₁ F₂ E₂).IsSmooth IB
     where exists_smooth_coord_change :=
@@ -107,9 +116,12 @@ instance Bundle.ContinuousLinearMap.vectorPrebundle.isSmooth :
         smoothOn_continuousLinearMapCoordChange IB,
         continuous_linear_map_coord_change_apply (RingHom.id 𝕜) e₁ e₁' e₂ e₂'⟩
 #align bundle.continuous_linear_map.vector_prebundle.is_smooth Bundle.ContinuousLinearMap.vectorPrebundle.isSmooth
+-/
 
+#print SmoothVectorBundle.continuousLinearMap /-
 instance SmoothVectorBundle.continuousLinearMap :
     SmoothVectorBundle (F₁ →L[𝕜] F₂) (Bundle.ContinuousLinearMap (RingHom.id 𝕜) E₁ E₂) IB :=
   (Bundle.ContinuousLinearMap.vectorPrebundle (RingHom.id 𝕜) F₁ E₁ F₂ E₂).SmoothVectorBundle IB
 #align smooth_vector_bundle.continuous_linear_map SmoothVectorBundle.continuousLinearMap
+-/

bump to nightly-2023-07-07-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/8905e5ed90859939681a725b00f6063e65096d95

22e0aaad

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Floris van Doorn
 
 ! This file was ported from Lean 3 source module geometry.manifold.vector_bundle.hom
-! leanprover-community/mathlib commit e473c3198bb41f68560cab68a0529c854b618833
+! leanprover-community/mathlib commit 8905e5ed90859939681a725b00f6063e65096d95
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -64,8 +64,7 @@ theorem smoothOn_continuousLinearMapCoordChange [SmoothManifoldWithCorners IB B]
   · intro b hb; ext L v
     simp only [continuous_linear_map_coord_change, ContinuousLinearEquiv.coe_coe,
       ContinuousLinearEquiv.arrowCongrSL_apply, comp_apply, Function.comp, compL_apply, flip_apply,
-      ContinuousLinearEquiv.symm_symm, LinearEquiv.toFun_eq_coe,
-      ContinuousLinearEquiv.arrowCongrₛₗ_apply, ContinuousLinearMap.coe_comp']
+      ContinuousLinearEquiv.symm_symm, LinearEquiv.toFun_eq_coe, ContinuousLinearMap.coe_comp']
 #align smooth_on_continuous_linear_map_coord_change smoothOn_continuousLinearMapCoordChange
 
 theorem hom_chart (y₀ y : LE₁E₂) :

e473c319

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: Floris van Doorn
 
 ! This file was ported from Lean 3 source module geometry.manifold.vector_bundle.hom
-! leanprover-community/mathlib commit f7ebde7ee0d1505dfccac8644ae12371aa3c1c9f
+! leanprover-community/mathlib commit e473c3198bb41f68560cab68a0529c854b618833
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -29,21 +29,21 @@ open scoped Manifold Bundle
 
 variable {𝕜 B F F₁ F₂ M M₁ M₂ : Type _} {E : B → Type _} {E₁ : B → Type _} {E₂ : B → Type _}
   [NontriviallyNormedField 𝕜] [∀ x, AddCommGroup (E x)] [∀ x, Module 𝕜 (E x)] [NormedAddCommGroup F]
-  [NormedSpace 𝕜 F] [TopologicalSpace (TotalSpace E)] [∀ x, TopologicalSpace (E x)]
+  [NormedSpace 𝕜 F] [TopologicalSpace (TotalSpace F E)] [∀ x, TopologicalSpace (E x)]
   [∀ x, AddCommGroup (E₁ x)] [∀ x, Module 𝕜 (E₁ x)] [NormedAddCommGroup F₁] [NormedSpace 𝕜 F₁]
-  [TopologicalSpace (TotalSpace E₁)] [∀ x, TopologicalSpace (E₁ x)] [∀ x, AddCommGroup (E₂ x)]
+  [TopologicalSpace (TotalSpace F₁ E₁)] [∀ x, TopologicalSpace (E₁ x)] [∀ x, AddCommGroup (E₂ x)]
   [∀ x, Module 𝕜 (E₂ x)] [NormedAddCommGroup F₂] [NormedSpace 𝕜 F₂]
-  [TopologicalSpace (TotalSpace E₂)] [∀ x, TopologicalSpace (E₂ x)]
+  [TopologicalSpace (TotalSpace F₂ E₂)] [∀ x, TopologicalSpace (E₂ x)]
   [_i₁ : ∀ x, TopologicalAddGroup (E₂ x)] [_i₂ : ∀ x, ContinuousSMul 𝕜 (E₂ x)] {EB : Type _}
   [NormedAddCommGroup EB] [NormedSpace 𝕜 EB] {HB : Type _} [TopologicalSpace HB]
   (IB : ModelWithCorners 𝕜 EB HB) [TopologicalSpace B] [ChartedSpace HB B] {EM : Type _}
   [NormedAddCommGroup EM] [NormedSpace 𝕜 EM] {HM : Type _} [TopologicalSpace HM]
   {IM : ModelWithCorners 𝕜 EM HM} [TopologicalSpace M] [ChartedSpace HM M]
   [Is : SmoothManifoldWithCorners IM M] {n : ℕ∞} [FiberBundle F₁ E₁] [VectorBundle 𝕜 F₁ E₁]
-  [FiberBundle F₂ E₂] [VectorBundle 𝕜 F₂ E₂] {e₁ e₁' : Trivialization F₁ (π E₁)}
-  {e₂ e₂' : Trivialization F₂ (π E₂)}
+  [FiberBundle F₂ E₂] [VectorBundle 𝕜 F₂ E₂] {e₁ e₁' : Trivialization F₁ (π F₁ E₁)}
+  {e₂ e₂' : Trivialization F₂ (π F₂ E₂)}
 
-local notation "LE₁E₂" => TotalSpace (Bundle.ContinuousLinearMap (RingHom.id 𝕜) F₁ E₁ F₂ E₂)
+local notation "LE₁E₂" => TotalSpace (F₁ →L[𝕜] F₂) (Bundle.ContinuousLinearMap (RingHom.id 𝕜) E₁ E₂)
 
 -- This proof is slow, especially the `simp only` and the elaboration of `h₂`.
 theorem smoothOn_continuousLinearMapCoordChange [SmoothManifoldWithCorners IB B]
@@ -110,7 +110,7 @@ instance Bundle.ContinuousLinearMap.vectorPrebundle.isSmooth :
 #align bundle.continuous_linear_map.vector_prebundle.is_smooth Bundle.ContinuousLinearMap.vectorPrebundle.isSmooth
 
 instance SmoothVectorBundle.continuousLinearMap :
-    SmoothVectorBundle (F₁ →L[𝕜] F₂) (Bundle.ContinuousLinearMap (RingHom.id 𝕜) F₁ E₁ F₂ E₂) IB :=
+    SmoothVectorBundle (F₁ →L[𝕜] F₂) (Bundle.ContinuousLinearMap (RingHom.id 𝕜) E₁ E₂) IB :=
   (Bundle.ContinuousLinearMap.vectorPrebundle (RingHom.id 𝕜) F₁ E₁ F₂ E₂).SmoothVectorBundle IB
 #align smooth_vector_bundle.continuous_linear_map SmoothVectorBundle.continuousLinearMap

bump to nightly-2023-06-24-05

mathlib commit https://github.com/leanprover-community/mathlib/commit/93f880918cb51905fd51b76add8273cbc27718ab

563221e8

Diff

@@ -55,7 +55,7 @@ theorem smoothOn_continuousLinearMapCoordChange [SmoothManifoldWithCorners IB B]
   by
   let L₁ := compL 𝕜 F₁ F₂ F₂
   have h₁ : Smooth _ _ _ := L₁.cont_mdiff
-  have h₂ : Smooth _ _ _ := (ContinuousLinearMap.flip (compL 𝕜 F₁ F₁ F₂)).ContMdiff
+  have h₂ : Smooth _ _ _ := (ContinuousLinearMap.flip (compL 𝕜 F₁ F₁ F₂)).ContMDiff
   have h₃ : SmoothOn IB _ _ _ := smooth_on_coord_change e₁' e₁
   have h₄ : SmoothOn IB _ _ _ := smooth_on_coord_change e₂ e₂'
   refine' ((h₁.comp_smooth_on (h₄.mono _)).clm_comp (h₂.comp_smooth_on (h₃.mono _))).congr _
@@ -78,20 +78,20 @@ theorem hom_chart (y₀ y : LE₁E₂) :
 
 variable {IB}
 
-theorem contMdiffAt_hom_bundle (f : M → LE₁E₂) {x₀ : M} {n : ℕ∞} :
-    ContMdiffAt IM (IB.Prod 𝓘(𝕜, F₁ →L[𝕜] F₂)) n f x₀ ↔
-      ContMdiffAt IM IB n (fun x => (f x).1) x₀ ∧
-        ContMdiffAt IM 𝓘(𝕜, F₁ →L[𝕜] F₂) n
+theorem contMDiffAt_hom_bundle (f : M → LE₁E₂) {x₀ : M} {n : ℕ∞} :
+    ContMDiffAt IM (IB.Prod 𝓘(𝕜, F₁ →L[𝕜] F₂)) n f x₀ ↔
+      ContMDiffAt IM IB n (fun x => (f x).1) x₀ ∧
+        ContMDiffAt IM 𝓘(𝕜, F₁ →L[𝕜] F₂) n
           (fun x => inCoordinates F₁ E₁ F₂ E₂ (f x₀).1 (f x).1 (f x₀).1 (f x).1 (f x).2) x₀ :=
   by apply cont_mdiff_at_total_space
-#align cont_mdiff_at_hom_bundle contMdiffAt_hom_bundle
+#align cont_mdiff_at_hom_bundle contMDiffAt_hom_bundle
 
 theorem smoothAt_hom_bundle (f : M → LE₁E₂) {x₀ : M} :
     SmoothAt IM (IB.Prod 𝓘(𝕜, F₁ →L[𝕜] F₂)) f x₀ ↔
       SmoothAt IM IB (fun x => (f x).1) x₀ ∧
         SmoothAt IM 𝓘(𝕜, F₁ →L[𝕜] F₂)
           (fun x => inCoordinates F₁ E₁ F₂ E₂ (f x₀).1 (f x).1 (f x₀).1 (f x).1 (f x).2) x₀ :=
-  contMdiffAt_hom_bundle f
+  contMDiffAt_hom_bundle f
 #align smooth_at_hom_bundle smoothAt_hom_bundle
 
 variable [SmoothManifoldWithCorners IB B] [SmoothVectorBundle F₁ E₁ IB]

bump to nightly-2023-06-20-01

mathlib commit https://github.com/leanprover-community/mathlib/commit/2a0ce625dbb0ffbc7d1316597de0b25c1ec75303

9b351f8c

Diff

@@ -61,7 +61,7 @@ theorem smoothOn_continuousLinearMapCoordChange [SmoothManifoldWithCorners IB B]
   refine' ((h₁.comp_smooth_on (h₄.mono _)).clm_comp (h₂.comp_smooth_on (h₃.mono _))).congr _
   · mfld_set_tac
   · mfld_set_tac
-  · intro b hb; ext (L v)
+  · intro b hb; ext L v
     simp only [continuous_linear_map_coord_change, ContinuousLinearEquiv.coe_coe,
       ContinuousLinearEquiv.arrowCongrSL_apply, comp_apply, Function.comp, compL_apply, flip_apply,
       ContinuousLinearEquiv.symm_symm, LinearEquiv.toFun_eq_coe,

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -43,7 +43,6 @@ variable {𝕜 B F F₁ F₂ M M₁ M₂ : Type _} {E : B → Type _} {E₁ : B
   [FiberBundle F₂ E₂] [VectorBundle 𝕜 F₂ E₂] {e₁ e₁' : Trivialization F₁ (π E₁)}
   {e₂ e₂' : Trivialization F₂ (π E₂)}
 
--- mathport name: exprLE₁E₂
 local notation "LE₁E₂" => TotalSpace (Bundle.ContinuousLinearMap (RingHom.id 𝕜) F₁ E₁ F₂ E₂)
 
 -- This proof is slow, especially the `simp only` and the elaboration of `h₂`.
@@ -69,8 +68,6 @@ theorem smoothOn_continuousLinearMapCoordChange [SmoothManifoldWithCorners IB B]
       ContinuousLinearEquiv.arrowCongrₛₗ_apply, ContinuousLinearMap.coe_comp']
 #align smooth_on_continuous_linear_map_coord_change smoothOn_continuousLinearMapCoordChange
 
-include _i₁ _i₂
-
 theorem hom_chart (y₀ y : LE₁E₂) :
     chartAt (ModelProd HB (F₁ →L[𝕜] F₂)) y₀ y =
       (chartAt HB y₀.1 y.1, inCoordinates F₁ E₁ F₂ E₂ y₀.1 y.1 y₀.1 y.1 y.2) :=

bump to nightly-2023-05-29-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/88a563b158f59f2983cfad685664da95502e8cdd

d0f5dd0a

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Floris van Doorn
 
 ! This file was ported from Lean 3 source module geometry.manifold.vector_bundle.hom
-! leanprover-community/mathlib commit c89fe2d59ae06402c3f55f978016d1ada444f57e
+! leanprover-community/mathlib commit f7ebde7ee0d1505dfccac8644ae12371aa3c1c9f
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -28,16 +28,17 @@ open Bundle Set LocalHomeomorph ContinuousLinearMap Pretrivialization
 open scoped Manifold Bundle
 
 variable {𝕜 B F F₁ F₂ M M₁ M₂ : Type _} {E : B → Type _} {E₁ : B → Type _} {E₂ : B → Type _}
-  [NontriviallyNormedField 𝕜] [∀ x, AddCommMonoid (E x)] [∀ x, Module 𝕜 (E x)]
-  [NormedAddCommGroup F] [NormedSpace 𝕜 F] [TopologicalSpace (TotalSpace E)]
-  [∀ x, TopologicalSpace (E x)] [∀ x, AddCommMonoid (E₁ x)] [∀ x, Module 𝕜 (E₁ x)]
-  [NormedAddCommGroup F₁] [NormedSpace 𝕜 F₁] [TopologicalSpace (TotalSpace E₁)]
-  [∀ x, TopologicalSpace (E₁ x)] [∀ x, AddCommMonoid (E₂ x)] [∀ x, Module 𝕜 (E₂ x)]
-  [NormedAddCommGroup F₂] [NormedSpace 𝕜 F₂] [TopologicalSpace (TotalSpace E₂)]
-  [∀ x, TopologicalSpace (E₂ x)] {EB : Type _} [NormedAddCommGroup EB] [NormedSpace 𝕜 EB]
-  {HB : Type _} [TopologicalSpace HB] (IB : ModelWithCorners 𝕜 EB HB) [TopologicalSpace B]
-  [ChartedSpace HB B] {EM : Type _} [NormedAddCommGroup EM] [NormedSpace 𝕜 EM] {HM : Type _}
-  [TopologicalSpace HM] {IM : ModelWithCorners 𝕜 EM HM} [TopologicalSpace M] [ChartedSpace HM M]
+  [NontriviallyNormedField 𝕜] [∀ x, AddCommGroup (E x)] [∀ x, Module 𝕜 (E x)] [NormedAddCommGroup F]
+  [NormedSpace 𝕜 F] [TopologicalSpace (TotalSpace E)] [∀ x, TopologicalSpace (E x)]
+  [∀ x, AddCommGroup (E₁ x)] [∀ x, Module 𝕜 (E₁ x)] [NormedAddCommGroup F₁] [NormedSpace 𝕜 F₁]
+  [TopologicalSpace (TotalSpace E₁)] [∀ x, TopologicalSpace (E₁ x)] [∀ x, AddCommGroup (E₂ x)]
+  [∀ x, Module 𝕜 (E₂ x)] [NormedAddCommGroup F₂] [NormedSpace 𝕜 F₂]
+  [TopologicalSpace (TotalSpace E₂)] [∀ x, TopologicalSpace (E₂ x)]
+  [_i₁ : ∀ x, TopologicalAddGroup (E₂ x)] [_i₂ : ∀ x, ContinuousSMul 𝕜 (E₂ x)] {EB : Type _}
+  [NormedAddCommGroup EB] [NormedSpace 𝕜 EB] {HB : Type _} [TopologicalSpace HB]
+  (IB : ModelWithCorners 𝕜 EB HB) [TopologicalSpace B] [ChartedSpace HB B] {EM : Type _}
+  [NormedAddCommGroup EM] [NormedSpace 𝕜 EM] {HM : Type _} [TopologicalSpace HM]
+  {IM : ModelWithCorners 𝕜 EM HM} [TopologicalSpace M] [ChartedSpace HM M]
   [Is : SmoothManifoldWithCorners IM M] {n : ℕ∞} [FiberBundle F₁ E₁] [VectorBundle 𝕜 F₁ E₁]
   [FiberBundle F₂ E₂] [VectorBundle 𝕜 F₂ E₂] {e₁ e₁' : Trivialization F₁ (π E₁)}
   {e₂ e₂' : Trivialization F₂ (π E₂)}
@@ -64,10 +65,11 @@ theorem smoothOn_continuousLinearMapCoordChange [SmoothManifoldWithCorners IB B]
   · intro b hb; ext (L v)
     simp only [continuous_linear_map_coord_change, ContinuousLinearEquiv.coe_coe,
       ContinuousLinearEquiv.arrowCongrSL_apply, comp_apply, Function.comp, compL_apply, flip_apply,
-      ContinuousLinearEquiv.symm_symm]
+      ContinuousLinearEquiv.symm_symm, LinearEquiv.toFun_eq_coe,
+      ContinuousLinearEquiv.arrowCongrₛₗ_apply, ContinuousLinearMap.coe_comp']
 #align smooth_on_continuous_linear_map_coord_change smoothOn_continuousLinearMapCoordChange
 
-variable [∀ x, ContinuousAdd (E₂ x)] [∀ x, ContinuousSMul 𝕜 (E₂ x)]
+include _i₁ _i₂
 
 theorem hom_chart (y₀ y : LE₁E₂) :
     chartAt (ModelProd HB (F₁ →L[𝕜] F₂)) y₀ y =
@@ -110,16 +112,6 @@ instance Bundle.ContinuousLinearMap.vectorPrebundle.isSmooth :
         continuous_linear_map_coord_change_apply (RingHom.id 𝕜) e₁ e₁' e₂ e₂'⟩
 #align bundle.continuous_linear_map.vector_prebundle.is_smooth Bundle.ContinuousLinearMap.vectorPrebundle.isSmooth
 
-/-- Todo: remove this definition. It is probably needed because of the type-class pi bug
-https://leanprover.zulipchat.com/#narrow/stream/116395-maths/topic/vector.20bundles.20--.20typeclass.20inference.20issue
--/
-@[reducible]
-def SmoothVectorBundle.ContinuousLinearMap.aux (x) :
-    TopologicalSpace (Bundle.ContinuousLinearMap (RingHom.id 𝕜) F₁ E₁ F₂ E₂ x) := by infer_instance
-#align smooth_vector_bundle.continuous_linear_map.aux SmoothVectorBundle.ContinuousLinearMap.aux
-
-attribute [local instance 1] SmoothVectorBundle.ContinuousLinearMap.aux
-
 instance SmoothVectorBundle.continuousLinearMap :
     SmoothVectorBundle (F₁ →L[𝕜] F₂) (Bundle.ContinuousLinearMap (RingHom.id 𝕜) F₁ E₁ F₂ E₂) IB :=
   (Bundle.ContinuousLinearMap.vectorPrebundle (RingHom.id 𝕜) F₁ E₁ F₂ E₂).SmoothVectorBundle IB

c89fe2d5

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -25,7 +25,7 @@ noncomputable section
 
 open Bundle Set LocalHomeomorph ContinuousLinearMap Pretrivialization
 
-open Manifold Bundle
+open scoped Manifold Bundle
 
 variable {𝕜 B F F₁ F₂ M M₁ M₂ : Type _} {E : B → Type _} {E₁ : B → Type _} {E₂ : B → Type _}
   [NontriviallyNormedField 𝕜] [∀ x, AddCommMonoid (E x)] [∀ x, Module 𝕜 (E x)]

c89fe2d5

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -61,8 +61,7 @@ theorem smoothOn_continuousLinearMapCoordChange [SmoothManifoldWithCorners IB B]
   refine' ((h₁.comp_smooth_on (h₄.mono _)).clm_comp (h₂.comp_smooth_on (h₃.mono _))).congr _
   · mfld_set_tac
   · mfld_set_tac
-  · intro b hb
-    ext (L v)
+  · intro b hb; ext (L v)
     simp only [continuous_linear_map_coord_change, ContinuousLinearEquiv.coe_coe,
       ContinuousLinearEquiv.arrowCongrSL_apply, comp_apply, Function.comp, compL_apply, flip_apply,
       ContinuousLinearEquiv.symm_symm]

c89fe2d5

bump to nightly-2023-05-18-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/c89fe2d59ae06402c3f55f978016d1ada444f57e

b46e9d53

Changes in mathlib4

mathlib3

mathlib4

chore: classify slow / slower porting notes (#11084)

Classifies by adding issue number #11083 to porting notes claiming anything semantically equivalent to:

"very slow; improve performance?"
"quite slow; improve performance?"
"`tactic" was slow"
"removed attribute because it caused extremely slow tactic"
"proof was rewritten, because it was too slow"
"doing this make things very slow"
"slower implementation"

e6a09f7c

Diff

@@ -40,7 +40,7 @@ variable {𝕜 B F₁ F₂ M : Type*} {E₁ : B → Type*} {E₂ : B → Type*}
 
 local notation "LE₁E₂" => TotalSpace (F₁ →L[𝕜] F₂) (Bundle.ContinuousLinearMap (RingHom.id 𝕜) E₁ E₂)
 
--- Porting note: moved slow parts to separate lemmas
+-- Porting note (#11083): moved slow parts to separate lemmas
 theorem smoothOn_continuousLinearMapCoordChange
     [SmoothVectorBundle F₁ E₁ IB] [SmoothVectorBundle F₂ E₂ IB] [MemTrivializationAtlas e₁]
     [MemTrivializationAtlas e₁'] [MemTrivializationAtlas e₂] [MemTrivializationAtlas e₂'] :

chore: rename LocalHomeomorph to PartialHomeomorph (#8982)

LocalHomeomorph evokes a "local homeomorphism": this is not what this means. Instead, this is a homeomorphism on an open set of the domain (extended to the whole space, by the junk value pattern). Hence, partial homeomorphism is more appropriate, and avoids confusion with IsLocallyHomeomorph.

A future PR will rename LocalEquiv to PartialEquiv.

Zulip discussion

bbc6e56d

Diff

@@ -20,7 +20,7 @@ To do it for semilinear maps, we would need to generalize `ContinuousLinearMap.c
 
 noncomputable section
 
-open Bundle Set LocalHomeomorph ContinuousLinearMap Pretrivialization
+open Bundle Set PartialHomeomorph ContinuousLinearMap Pretrivialization
 
 open scoped Manifold Bundle
 
@@ -55,8 +55,9 @@ theorem smoothOn_continuousLinearMapCoordChange
 theorem hom_chart (y₀ y : LE₁E₂) :
     chartAt (ModelProd HB (F₁ →L[𝕜] F₂)) y₀ y =
       (chartAt HB y₀.1 y.1, inCoordinates F₁ E₁ F₂ E₂ y₀.1 y.1 y₀.1 y.1 y.2) := by
-  rw [FiberBundle.chartedSpace_chartAt, trans_apply, LocalHomeomorph.prod_apply,
-    Trivialization.coe_coe, LocalHomeomorph.refl_apply, Function.id_def, hom_trivializationAt_apply]
+  rw [FiberBundle.chartedSpace_chartAt, trans_apply, PartialHomeomorph.prod_apply,
+    Trivialization.coe_coe, PartialHomeomorph.refl_apply, Function.id_def,
+    hom_trivializationAt_apply]
 #align hom_chart hom_chart
 
 variable {IB}

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

@@ -24,15 +24,15 @@ open Bundle Set LocalHomeomorph ContinuousLinearMap Pretrivialization
 
 open scoped Manifold Bundle
 
-variable {𝕜 B F₁ F₂ M : Type _} {E₁ : B → Type _} {E₂ : B → Type _} [NontriviallyNormedField 𝕜]
+variable {𝕜 B F₁ F₂ M : Type*} {E₁ : B → Type*} {E₂ : B → Type*} [NontriviallyNormedField 𝕜]
   [∀ x, AddCommGroup (E₁ x)] [∀ x, Module 𝕜 (E₁ x)] [NormedAddCommGroup F₁] [NormedSpace 𝕜 F₁]
   [TopologicalSpace (TotalSpace F₁ E₁)] [∀ x, TopologicalSpace (E₁ x)] [∀ x, AddCommGroup (E₂ x)]
   [∀ x, Module 𝕜 (E₂ x)] [NormedAddCommGroup F₂] [NormedSpace 𝕜 F₂]
   [TopologicalSpace (TotalSpace F₂ E₂)] [∀ x, TopologicalSpace (E₂ x)]
-  [∀ x, TopologicalAddGroup (E₂ x)] [∀ x, ContinuousSMul 𝕜 (E₂ x)] {EB : Type _}
-  [NormedAddCommGroup EB] [NormedSpace 𝕜 EB] {HB : Type _} [TopologicalSpace HB]
-  (IB : ModelWithCorners 𝕜 EB HB) [TopologicalSpace B] [ChartedSpace HB B] {EM : Type _}
-  [NormedAddCommGroup EM] [NormedSpace 𝕜 EM] {HM : Type _} [TopologicalSpace HM]
+  [∀ x, TopologicalAddGroup (E₂ x)] [∀ x, ContinuousSMul 𝕜 (E₂ x)] {EB : Type*}
+  [NormedAddCommGroup EB] [NormedSpace 𝕜 EB] {HB : Type*} [TopologicalSpace HB]
+  (IB : ModelWithCorners 𝕜 EB HB) [TopologicalSpace B] [ChartedSpace HB B] {EM : Type*}
+  [NormedAddCommGroup EM] [NormedSpace 𝕜 EM] {HM : Type*} [TopologicalSpace HM]
   {IM : ModelWithCorners 𝕜 EM HM} [TopologicalSpace M] [ChartedSpace HM M]
   [SmoothManifoldWithCorners IM M] {n : ℕ∞} [FiberBundle F₁ E₁] [VectorBundle 𝕜 F₁ E₁]
   [FiberBundle F₂ E₂] [VectorBundle 𝕜 F₂ E₂] {e₁ e₁' : Trivialization F₁ (π F₁ E₁)}

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) 2022 Floris van Doorn. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Floris van Doorn
-
-! This file was ported from Lean 3 source module geometry.manifold.vector_bundle.hom
-! leanprover-community/mathlib commit 8905e5ed90859939681a725b00f6063e65096d95
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Geometry.Manifold.VectorBundle.Basic
 import Mathlib.Topology.VectorBundle.Hom
 
+#align_import geometry.manifold.vector_bundle.hom from "leanprover-community/mathlib"@"8905e5ed90859939681a725b00f6063e65096d95"
+
 /-! # Homs of smooth vector bundles over the same base space
 
 Here we show that `Bundle.ContinuousLinearMap` is a smooth vector bundle.