topology.fiber_bundle.is_homeomorphic_trivial_bundle

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

be2c24f5

(last sync)

feat(geometry/manifold/vector_bundle/basic): smooth vector bundles (#17611)

Definition of smooth vector bundle, and basic constructions (direct sum, pullback, core construction).

Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com>

Diff

@@ -16,7 +16,7 @@ map `p : Z → B` between topological spaces is a "trivial fiber bundle" in the
 exists a homeomorphism `h : Z ≃ₜ B × F` such that `proj x = (h x).1`.  This is an abstraction which
 is occasionally convenient in showing that a map is open, a quotient map, etc.
 
-This material was formerly linked to the main definition of fibre bundles, but after a series of
+This material was formerly linked to the main definition of fiber bundles, but after a series of
 refactors, there is no longer a direct connection.
 -/

0a0ec350

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

be2c24f5

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
-import Mathbin.Topology.Homeomorph
+import Topology.Homeomorph
 
 #align_import topology.fiber_bundle.is_homeomorphic_trivial_bundle from "leanprover-community/mathlib"@"be2c24f56783935652cefffb4bfca7e4b25d167e"

be2c24f5

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
-
-! This file was ported from Lean 3 source module topology.fiber_bundle.is_homeomorphic_trivial_bundle
-! leanprover-community/mathlib commit be2c24f56783935652cefffb4bfca7e4b25d167e
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Topology.Homeomorph
 
+#align_import topology.fiber_bundle.is_homeomorphic_trivial_bundle from "leanprover-community/mathlib"@"be2c24f56783935652cefffb4bfca7e4b25d167e"
+
 /-!
 # Maps equivariantly-homeomorphic to projection in a product

be2c24f5

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -42,49 +42,63 @@ namespace IsHomeomorphicTrivialFiberBundle
 
 variable {F} {proj : Z → B}
 
+#print IsHomeomorphicTrivialFiberBundle.proj_eq /-
 protected theorem proj_eq (h : IsHomeomorphicTrivialFiberBundle F proj) :
     ∃ e : Z ≃ₜ B × F, proj = Prod.fst ∘ e :=
   ⟨h.some, (funext h.choose_spec).symm⟩
 #align is_homeomorphic_trivial_fiber_bundle.proj_eq IsHomeomorphicTrivialFiberBundle.proj_eq
+-/
 
+#print IsHomeomorphicTrivialFiberBundle.surjective_proj /-
 /-- The projection from a trivial fiber bundle to its base is surjective. -/
 protected theorem surjective_proj [Nonempty F] (h : IsHomeomorphicTrivialFiberBundle F proj) :
     Function.Surjective proj := by
   obtain ⟨e, rfl⟩ := h.proj_eq
   exact prod.fst_surjective.comp e.surjective
 #align is_homeomorphic_trivial_fiber_bundle.surjective_proj IsHomeomorphicTrivialFiberBundle.surjective_proj
+-/
 
+#print IsHomeomorphicTrivialFiberBundle.continuous_proj /-
 /-- The projection from a trivial fiber bundle to its base is continuous. -/
 protected theorem continuous_proj (h : IsHomeomorphicTrivialFiberBundle F proj) : Continuous proj :=
   by
   obtain ⟨e, rfl⟩ := h.proj_eq
   exact continuous_fst.comp e.continuous
 #align is_homeomorphic_trivial_fiber_bundle.continuous_proj IsHomeomorphicTrivialFiberBundle.continuous_proj
+-/
 
+#print IsHomeomorphicTrivialFiberBundle.isOpenMap_proj /-
 /-- The projection from a trivial fiber bundle to its base is open. -/
 protected theorem isOpenMap_proj (h : IsHomeomorphicTrivialFiberBundle F proj) : IsOpenMap proj :=
   by
   obtain ⟨e, rfl⟩ := h.proj_eq
   exact is_open_map_fst.comp e.is_open_map
 #align is_homeomorphic_trivial_fiber_bundle.is_open_map_proj IsHomeomorphicTrivialFiberBundle.isOpenMap_proj
+-/
 
+#print IsHomeomorphicTrivialFiberBundle.quotientMap_proj /-
 /-- The projection from a trivial fiber bundle to its base is open. -/
 protected theorem quotientMap_proj [Nonempty F] (h : IsHomeomorphicTrivialFiberBundle F proj) :
     QuotientMap proj :=
   h.isOpenMap_proj.to_quotientMap h.continuous_proj h.surjective_proj
 #align is_homeomorphic_trivial_fiber_bundle.quotient_map_proj IsHomeomorphicTrivialFiberBundle.quotientMap_proj
+-/
 
 end IsHomeomorphicTrivialFiberBundle
 
+#print isHomeomorphicTrivialFiberBundle_fst /-
 /-- The first projection in a product is a trivial fiber bundle. -/
 theorem isHomeomorphicTrivialFiberBundle_fst :
     IsHomeomorphicTrivialFiberBundle F (Prod.fst : B × F → B) :=
   ⟨Homeomorph.refl _, fun x => rfl⟩
 #align is_homeomorphic_trivial_fiber_bundle_fst isHomeomorphicTrivialFiberBundle_fst
+-/
 
+#print isHomeomorphicTrivialFiberBundle_snd /-
 /-- The second projection in a product is a trivial fiber bundle. -/
 theorem isHomeomorphicTrivialFiberBundle_snd :
     IsHomeomorphicTrivialFiberBundle F (Prod.snd : F × B → B) :=
   ⟨Homeomorph.prodComm _ _, fun x => rfl⟩
 #align is_homeomorphic_trivial_fiber_bundle_snd isHomeomorphicTrivialFiberBundle_snd
+-/

be2c24f5

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -42,23 +42,11 @@ namespace IsHomeomorphicTrivialFiberBundle
 
 variable {F} {proj : Z → B}
 
-/- warning: is_homeomorphic_trivial_fiber_bundle.proj_eq -> IsHomeomorphicTrivialFiberBundle.proj_eq is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align is_homeomorphic_trivial_fiber_bundle.proj_eq IsHomeomorphicTrivialFiberBundle.proj_eqₓ'. -/
 protected theorem proj_eq (h : IsHomeomorphicTrivialFiberBundle F proj) :
     ∃ e : Z ≃ₜ B × F, proj = Prod.fst ∘ e :=
   ⟨h.some, (funext h.choose_spec).symm⟩
 #align is_homeomorphic_trivial_fiber_bundle.proj_eq IsHomeomorphicTrivialFiberBundle.proj_eq
 
-/- warning: is_homeomorphic_trivial_fiber_bundle.surjective_proj -> IsHomeomorphicTrivialFiberBundle.surjective_proj is a dubious translation:
-lean 3 declaration is
-  forall {B : Type.{u1}} {F : Type.{u2}} {Z : Type.{u3}} [_inst_1 : TopologicalSpace.{u1} B] [_inst_2 : TopologicalSpace.{u2} F] [_inst_3 : TopologicalSpace.{u3} Z] {proj : Z -> B} [_inst_4 : Nonempty.{succ u2} F], (IsHomeomorphicTrivialFiberBundle.{u1, u2, u3} B F Z _inst_1 _inst_2 _inst_3 proj) -> (Function.Surjective.{succ u3, succ u1} Z B proj)
-but is expected to have type
-  forall {B : Type.{u2}} {F : Type.{u3}} {Z : Type.{u1}} [_inst_1 : TopologicalSpace.{u2} B] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u1} Z] {proj : Z -> B} [_inst_4 : Nonempty.{succ u3} F], (IsHomeomorphicTrivialFiberBundle.{u2, u3, u1} B F Z _inst_1 _inst_2 _inst_3 proj) -> (Function.Surjective.{succ u1, succ u2} Z B proj)
-Case conversion may be inaccurate. Consider using '#align is_homeomorphic_trivial_fiber_bundle.surjective_proj IsHomeomorphicTrivialFiberBundle.surjective_projₓ'. -/
 /-- The projection from a trivial fiber bundle to its base is surjective. -/
 protected theorem surjective_proj [Nonempty F] (h : IsHomeomorphicTrivialFiberBundle F proj) :
     Function.Surjective proj := by
@@ -66,12 +54,6 @@ protected theorem surjective_proj [Nonempty F] (h : IsHomeomorphicTrivialFiberBu
   exact prod.fst_surjective.comp e.surjective
 #align is_homeomorphic_trivial_fiber_bundle.surjective_proj IsHomeomorphicTrivialFiberBundle.surjective_proj
 
-/- warning: is_homeomorphic_trivial_fiber_bundle.continuous_proj -> IsHomeomorphicTrivialFiberBundle.continuous_proj is a dubious translation:
-lean 3 declaration is
-  forall {B : Type.{u1}} {F : Type.{u2}} {Z : Type.{u3}} [_inst_1 : TopologicalSpace.{u1} B] [_inst_2 : TopologicalSpace.{u2} F] [_inst_3 : TopologicalSpace.{u3} Z] {proj : Z -> B}, (IsHomeomorphicTrivialFiberBundle.{u1, u2, u3} B F Z _inst_1 _inst_2 _inst_3 proj) -> (Continuous.{u3, u1} Z B _inst_3 _inst_1 proj)
-but is expected to have type
-  forall {B : Type.{u3}} {F : Type.{u2}} {Z : Type.{u1}} [_inst_1 : TopologicalSpace.{u3} B] [_inst_2 : TopologicalSpace.{u2} F] [_inst_3 : TopologicalSpace.{u1} Z] {proj : Z -> B}, (IsHomeomorphicTrivialFiberBundle.{u3, u2, u1} B F Z _inst_1 _inst_2 _inst_3 proj) -> (Continuous.{u1, u3} Z B _inst_3 _inst_1 proj)
-Case conversion may be inaccurate. Consider using '#align is_homeomorphic_trivial_fiber_bundle.continuous_proj IsHomeomorphicTrivialFiberBundle.continuous_projₓ'. -/
 /-- The projection from a trivial fiber bundle to its base is continuous. -/
 protected theorem continuous_proj (h : IsHomeomorphicTrivialFiberBundle F proj) : Continuous proj :=
   by
@@ -79,12 +61,6 @@ protected theorem continuous_proj (h : IsHomeomorphicTrivialFiberBundle F proj)
   exact continuous_fst.comp e.continuous
 #align is_homeomorphic_trivial_fiber_bundle.continuous_proj IsHomeomorphicTrivialFiberBundle.continuous_proj
 
-/- warning: is_homeomorphic_trivial_fiber_bundle.is_open_map_proj -> IsHomeomorphicTrivialFiberBundle.isOpenMap_proj is a dubious translation:
-lean 3 declaration is
-  forall {B : Type.{u1}} {F : Type.{u2}} {Z : Type.{u3}} [_inst_1 : TopologicalSpace.{u1} B] [_inst_2 : TopologicalSpace.{u2} F] [_inst_3 : TopologicalSpace.{u3} Z] {proj : Z -> B}, (IsHomeomorphicTrivialFiberBundle.{u1, u2, u3} B F Z _inst_1 _inst_2 _inst_3 proj) -> (IsOpenMap.{u3, u1} Z B _inst_3 _inst_1 proj)
-but is expected to have type
-  forall {B : Type.{u3}} {F : Type.{u2}} {Z : Type.{u1}} [_inst_1 : TopologicalSpace.{u3} B] [_inst_2 : TopologicalSpace.{u2} F] [_inst_3 : TopologicalSpace.{u1} Z] {proj : Z -> B}, (IsHomeomorphicTrivialFiberBundle.{u3, u2, u1} B F Z _inst_1 _inst_2 _inst_3 proj) -> (IsOpenMap.{u1, u3} Z B _inst_3 _inst_1 proj)
-Case conversion may be inaccurate. Consider using '#align is_homeomorphic_trivial_fiber_bundle.is_open_map_proj IsHomeomorphicTrivialFiberBundle.isOpenMap_projₓ'. -/
 /-- The projection from a trivial fiber bundle to its base is open. -/
 protected theorem isOpenMap_proj (h : IsHomeomorphicTrivialFiberBundle F proj) : IsOpenMap proj :=
   by
@@ -92,12 +68,6 @@ protected theorem isOpenMap_proj (h : IsHomeomorphicTrivialFiberBundle F proj) :
   exact is_open_map_fst.comp e.is_open_map
 #align is_homeomorphic_trivial_fiber_bundle.is_open_map_proj IsHomeomorphicTrivialFiberBundle.isOpenMap_proj
 
-/- warning: is_homeomorphic_trivial_fiber_bundle.quotient_map_proj -> IsHomeomorphicTrivialFiberBundle.quotientMap_proj is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
-  forall {B : Type.{u2}} {F : Type.{u3}} {Z : Type.{u1}} [_inst_1 : TopologicalSpace.{u2} B] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u1} Z] {proj : Z -> B} [_inst_4 : Nonempty.{succ u3} F], (IsHomeomorphicTrivialFiberBundle.{u2, u3, u1} B F Z _inst_1 _inst_2 _inst_3 proj) -> (QuotientMap.{u1, u2} Z B _inst_3 _inst_1 proj)
-Case conversion may be inaccurate. Consider using '#align is_homeomorphic_trivial_fiber_bundle.quotient_map_proj IsHomeomorphicTrivialFiberBundle.quotientMap_projₓ'. -/
 /-- The projection from a trivial fiber bundle to its base is open. -/
 protected theorem quotientMap_proj [Nonempty F] (h : IsHomeomorphicTrivialFiberBundle F proj) :
     QuotientMap proj :=
@@ -106,24 +76,12 @@ protected theorem quotientMap_proj [Nonempty F] (h : IsHomeomorphicTrivialFiberB
 
 end IsHomeomorphicTrivialFiberBundle
 
-/- warning: is_homeomorphic_trivial_fiber_bundle_fst -> isHomeomorphicTrivialFiberBundle_fst is a dubious translation:
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-but is expected to have type
-  forall {B : Type.{u2}} (F : Type.{u1}) [_inst_1 : TopologicalSpace.{u2} B] [_inst_2 : TopologicalSpace.{u1} F], IsHomeomorphicTrivialFiberBundle.{u2, u1, max u2 u1} B F (Prod.{u2, u1} B F) _inst_1 _inst_2 (instTopologicalSpaceProd.{u2, u1} B F _inst_1 _inst_2) (Prod.fst.{u2, u1} B F)
-Case conversion may be inaccurate. Consider using '#align is_homeomorphic_trivial_fiber_bundle_fst isHomeomorphicTrivialFiberBundle_fstₓ'. -/
 /-- The first projection in a product is a trivial fiber bundle. -/
 theorem isHomeomorphicTrivialFiberBundle_fst :
     IsHomeomorphicTrivialFiberBundle F (Prod.fst : B × F → B) :=
   ⟨Homeomorph.refl _, fun x => rfl⟩
 #align is_homeomorphic_trivial_fiber_bundle_fst isHomeomorphicTrivialFiberBundle_fst
 
-/- warning: is_homeomorphic_trivial_fiber_bundle_snd -> isHomeomorphicTrivialFiberBundle_snd is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align is_homeomorphic_trivial_fiber_bundle_snd isHomeomorphicTrivialFiberBundle_sndₓ'. -/
 /-- The second projection in a product is a trivial fiber bundle. -/
 theorem isHomeomorphicTrivialFiberBundle_snd :
     IsHomeomorphicTrivialFiberBundle F (Prod.snd : F × B → B) :=

be2c24f5

bump to nightly-2023-03-16-13

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce7e9d53d4bbc38065db3b595cd5bd73c323bc1d

d225db81

Diff

@@ -46,7 +46,7 @@ variable {F} {proj : Z → B}
 lean 3 declaration is
   forall {B : Type.{u1}} {F : Type.{u2}} {Z : Type.{u3}} [_inst_1 : TopologicalSpace.{u1} B] [_inst_2 : TopologicalSpace.{u2} F] [_inst_3 : TopologicalSpace.{u3} Z] {proj : Z -> B}, (IsHomeomorphicTrivialFiberBundle.{u1, u2, u3} B F Z _inst_1 _inst_2 _inst_3 proj) -> (Exists.{max (succ u3) (succ (max u1 u2))} (Homeomorph.{u3, max u1 u2} Z (Prod.{u1, u2} B F) _inst_3 (Prod.topologicalSpace.{u1, u2} B F _inst_1 _inst_2)) (fun (e : Homeomorph.{u3, max u1 u2} Z (Prod.{u1, u2} B F) _inst_3 (Prod.topologicalSpace.{u1, u2} B F _inst_1 _inst_2)) => Eq.{max (succ u3) (succ u1)} (Z -> B) proj (Function.comp.{succ u3, max (succ u1) (succ u2), succ u1} Z (Prod.{u1, u2} B F) B (Prod.fst.{u1, u2} B F) (coeFn.{max (succ u3) (succ (max u1 u2)), max (succ u3) (succ (max u1 u2))} (Homeomorph.{u3, max u1 u2} Z (Prod.{u1, u2} B F) _inst_3 (Prod.topologicalSpace.{u1, u2} B F _inst_1 _inst_2)) (fun (_x : Homeomorph.{u3, max u1 u2} Z (Prod.{u1, u2} B F) _inst_3 (Prod.topologicalSpace.{u1, u2} B F _inst_1 _inst_2)) => Z -> (Prod.{u1, u2} B F)) (Homeomorph.hasCoeToFun.{u3, max u1 u2} Z (Prod.{u1, u2} B F) _inst_3 (Prod.topologicalSpace.{u1, u2} B F _inst_1 _inst_2)) e))))
 but is expected to have type
-  forall {B : Type.{u3}} {F : Type.{u2}} {Z : Type.{u1}} [_inst_1 : TopologicalSpace.{u3} B] [_inst_2 : TopologicalSpace.{u2} F] [_inst_3 : TopologicalSpace.{u1} Z] {proj : Z -> B}, (IsHomeomorphicTrivialFiberBundle.{u3, u2, u1} B F Z _inst_1 _inst_2 _inst_3 proj) -> (Exists.{max (max (succ u3) (succ u2)) (succ u1)} (Homeomorph.{u1, max u2 u3} Z (Prod.{u3, u2} B F) _inst_3 (instTopologicalSpaceProd.{u3, u2} B F _inst_1 _inst_2)) (fun (e : Homeomorph.{u1, max u2 u3} Z (Prod.{u3, u2} B F) _inst_3 (instTopologicalSpaceProd.{u3, u2} B F _inst_1 _inst_2)) => Eq.{max (succ u3) (succ u1)} (Z -> B) proj (Function.comp.{succ u1, max (succ u2) (succ u3), succ u3} Z (Prod.{u3, u2} B F) B (Prod.fst.{u3, u2} B F) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), succ u1, max (succ u3) (succ u2)} (Homeomorph.{u1, max u2 u3} Z (Prod.{u3, u2} B F) _inst_3 (instTopologicalSpaceProd.{u3, u2} B F _inst_1 _inst_2)) Z (fun (_x : Z) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Z) => Prod.{u3, u2} B F) _x) (EmbeddingLike.toFunLike.{max (max (succ u3) (succ u2)) (succ u1), succ u1, max (succ u3) (succ u2)} (Homeomorph.{u1, max u2 u3} Z (Prod.{u3, u2} B F) _inst_3 (instTopologicalSpaceProd.{u3, u2} B F _inst_1 _inst_2)) Z (Prod.{u3, u2} B F) (EquivLike.toEmbeddingLike.{max (max (succ u3) (succ u2)) (succ u1), succ u1, max (succ u3) (succ u2)} (Homeomorph.{u1, max u2 u3} Z (Prod.{u3, u2} B F) _inst_3 (instTopologicalSpaceProd.{u3, u2} B F _inst_1 _inst_2)) Z (Prod.{u3, u2} B F) (Homeomorph.instEquivLikeHomeomorph.{u1, max u3 u2} Z (Prod.{u3, u2} B F) _inst_3 (instTopologicalSpaceProd.{u3, u2} B F _inst_1 _inst_2)))) e))))
+  forall {B : Type.{u3}} {F : Type.{u2}} {Z : Type.{u1}} [_inst_1 : TopologicalSpace.{u3} B] [_inst_2 : TopologicalSpace.{u2} F] [_inst_3 : TopologicalSpace.{u1} Z] {proj : Z -> B}, (IsHomeomorphicTrivialFiberBundle.{u3, u2, u1} B F Z _inst_1 _inst_2 _inst_3 proj) -> (Exists.{max (max (succ u3) (succ u2)) (succ u1)} (Homeomorph.{u1, max u2 u3} Z (Prod.{u3, u2} B F) _inst_3 (instTopologicalSpaceProd.{u3, u2} B F _inst_1 _inst_2)) (fun (e : Homeomorph.{u1, max u2 u3} Z (Prod.{u3, u2} B F) _inst_3 (instTopologicalSpaceProd.{u3, u2} B F _inst_1 _inst_2)) => Eq.{max (succ u3) (succ u1)} (Z -> B) proj (Function.comp.{succ u1, max (succ u2) (succ u3), succ u3} Z (Prod.{u3, u2} B F) B (Prod.fst.{u3, u2} B F) (FunLike.coe.{max (succ u1) (succ (max u3 u2)), succ u1, succ (max u3 u2)} (Homeomorph.{u1, max u3 u2} Z (Prod.{u3, u2} B F) _inst_3 (instTopologicalSpaceProd.{u3, u2} B F _inst_1 _inst_2)) Z (fun (_x : Z) => Prod.{u3, u2} B F) (EmbeddingLike.toFunLike.{max (succ u1) (succ (max u3 u2)), succ u1, succ (max u3 u2)} (Homeomorph.{u1, max u3 u2} Z (Prod.{u3, u2} B F) _inst_3 (instTopologicalSpaceProd.{u3, u2} B F _inst_1 _inst_2)) Z (Prod.{u3, u2} B F) (EquivLike.toEmbeddingLike.{max (succ u1) (succ (max u3 u2)), succ u1, succ (max u3 u2)} (Homeomorph.{u1, max u3 u2} Z (Prod.{u3, u2} B F) _inst_3 (instTopologicalSpaceProd.{u3, u2} B F _inst_1 _inst_2)) Z (Prod.{u3, u2} B F) (Homeomorph.instEquivLikeHomeomorph.{u1, max u3 u2} Z (Prod.{u3, u2} B F) _inst_3 (instTopologicalSpaceProd.{u3, u2} B F _inst_1 _inst_2)))) e))))
 Case conversion may be inaccurate. Consider using '#align is_homeomorphic_trivial_fiber_bundle.proj_eq IsHomeomorphicTrivialFiberBundle.proj_eqₓ'. -/
 protected theorem proj_eq (h : IsHomeomorphicTrivialFiberBundle F proj) :
     ∃ e : Z ≃ₜ B × F, proj = Prod.fst ∘ e :=

be2c24f5

bump to nightly-2023-03-08-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/38f16f960f5006c6c0c2bac7b0aba5273188f4e5

aa586d73

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 
 ! This file was ported from Lean 3 source module topology.fiber_bundle.is_homeomorphic_trivial_bundle
-! leanprover-community/mathlib commit ad0089aca372256fe53dde13ca0dfea569bf5ac7
+! leanprover-community/mathlib commit be2c24f56783935652cefffb4bfca7e4b25d167e
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -21,7 +21,7 @@ map `p : Z → B` between topological spaces is a "trivial fiber bundle" in the
 exists a homeomorphism `h : Z ≃ₜ B × F` such that `proj x = (h x).1`.  This is an abstraction which
 is occasionally convenient in showing that a map is open, a quotient map, etc.
 
-This material was formerly linked to the main definition of fibre bundles, but after a series of
+This material was formerly linked to the main definition of fiber bundles, but after a series of
 refactors, there is no longer a direct connection.
 -/

ad0089ac

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

be2c24f5

style: cleanup by putting by on the same line as := (#8407)

Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

5e9b46ed

Diff

@@ -47,13 +47,15 @@ protected theorem surjective_proj [Nonempty F] (h : IsHomeomorphicTrivialFiberBu
 #align is_homeomorphic_trivial_fiber_bundle.surjective_proj IsHomeomorphicTrivialFiberBundle.surjective_proj
 
 /-- The projection from a trivial fiber bundle to its base is continuous. -/
-protected theorem continuous_proj (h : IsHomeomorphicTrivialFiberBundle F proj) : Continuous proj :=
-  by obtain ⟨e, rfl⟩ := h.proj_eq; exact continuous_fst.comp e.continuous
+protected theorem continuous_proj (h : IsHomeomorphicTrivialFiberBundle F proj) :
+    Continuous proj := by
+  obtain ⟨e, rfl⟩ := h.proj_eq; exact continuous_fst.comp e.continuous
 #align is_homeomorphic_trivial_fiber_bundle.continuous_proj IsHomeomorphicTrivialFiberBundle.continuous_proj
 
 /-- The projection from a trivial fiber bundle to its base is open. -/
-protected theorem isOpenMap_proj (h : IsHomeomorphicTrivialFiberBundle F proj) : IsOpenMap proj :=
-  by obtain ⟨e, rfl⟩ := h.proj_eq; exact isOpenMap_fst.comp e.isOpenMap
+protected theorem isOpenMap_proj (h : IsHomeomorphicTrivialFiberBundle F proj) :
+    IsOpenMap proj := by
+  obtain ⟨e, rfl⟩ := h.proj_eq; exact isOpenMap_fst.comp e.isOpenMap
 #align is_homeomorphic_trivial_fiber_bundle.is_open_map_proj IsHomeomorphicTrivialFiberBundle.isOpenMap_proj
 
 /-- The projection from a trivial fiber bundle to its base is open. -/

be2c24f5

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

@@ -20,7 +20,7 @@ refactors, there is no longer a direct connection.
 -/
 
 
-variable {B : Type _} (F : Type _) {Z : Type _} [TopologicalSpace B] [TopologicalSpace F]
+variable {B : Type*} (F : Type*) {Z : Type*} [TopologicalSpace B] [TopologicalSpace F]
   [TopologicalSpace Z]
 
 /-- A trivial fiber bundle with fiber `F` over a base `B` is a space `Z`

be2c24f5

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

@@ -2,14 +2,11 @@
 Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
-
-! This file was ported from Lean 3 source module topology.fiber_bundle.is_homeomorphic_trivial_bundle
-! leanprover-community/mathlib commit be2c24f56783935652cefffb4bfca7e4b25d167e
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Topology.Homeomorph
 
+#align_import topology.fiber_bundle.is_homeomorphic_trivial_bundle from "leanprover-community/mathlib"@"be2c24f56783935652cefffb4bfca7e4b25d167e"
+
 /-!
 # Maps equivariantly-homeomorphic to projection in a product

be2c24f5

chore: fix upper/lowercase in comments (#4360)

Run a non-interactive version of fix-comments.py on all files.
Go through the diff and manually add/discard/edit chunks.

27d257fc

Diff

@@ -28,7 +28,7 @@ variable {B : Type _} (F : Type _) {Z : Type _} [TopologicalSpace B] [Topologica
 
 /-- A trivial fiber bundle with fiber `F` over a base `B` is a space `Z`
 projecting on `B` for which there exists a homeomorphism to `B × F` that sends `proj`
-to `prod.fst`. -/
+to `Prod.fst`. -/
 def IsHomeomorphicTrivialFiberBundle (proj : Z → B) : Prop :=
   ∃ e : Z ≃ₜ B × F, ∀ x, (e x).1 = proj x
 #align is_homeomorphic_trivial_fiber_bundle IsHomeomorphicTrivialFiberBundle

be2c24f5

chore: forward port a typo in IsHomeomorphicTrivialBundle (#3185)

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

ebccaf00

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 
 ! This file was ported from Lean 3 source module topology.fiber_bundle.is_homeomorphic_trivial_bundle
-! leanprover-community/mathlib commit 0a0ec35061ed9960bf0e7ffb0335f44447b58977
+! leanprover-community/mathlib commit be2c24f56783935652cefffb4bfca7e4b25d167e
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -18,7 +18,7 @@ map `p : Z → B` between topological spaces is a "trivial fiber bundle" in the
 exists a homeomorphism `h : Z ≃ₜ B × F` such that `proj x = (h x).1`.  This is an abstraction which
 is occasionally convenient in showing that a map is open, a quotient map, etc.
 
-This material was formerly linked to the main definition of fibre bundles, but after a series of
+This material was formerly linked to the main definition of fiber bundles, but after a series of
 refactors, there is no longer a direct connection.
 -/
 
@@ -78,4 +78,3 @@ theorem isHomeomorphicTrivialFiberBundle_snd :
     IsHomeomorphicTrivialFiberBundle F (Prod.snd : F × B → B) :=
   ⟨Homeomorph.prodComm _ _, fun _x => rfl⟩
 #align is_homeomorphic_trivial_fiber_bundle_snd isHomeomorphicTrivialFiberBundle_snd
-

0a0ec350

chore: do not lint line length of lines that start with ! (#2190)

1f934871

Diff

@@ -3,8 +3,7 @@ Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 
-! This file was ported from Lean 3 source module
-! topology.fiber_bundle.is_homeomorphic_trivial_bundle
+! This file was ported from Lean 3 source module topology.fiber_bundle.is_homeomorphic_trivial_bundle
 ! leanprover-community/mathlib commit 0a0ec35061ed9960bf0e7ffb0335f44447b58977
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.

`topology.fiber_bundle.is_homeomorphic_trivial_bundle` ⟷ `Mathlib.Topology.FiberBundle.IsHomeomorphicTrivialBundle`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 306

topology.fiber_bundle.is_homeomorphic_trivial_bundle ⟷ Mathlib.Topology.FiberBundle.IsHomeomorphicTrivialBundle

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 306

`topology.fiber_bundle.is_homeomorphic_trivial_bundle` ⟷ `Mathlib.Topology.FiberBundle.IsHomeomorphicTrivialBundle`