geometry.manifold.derivation_bundle ⟷ Mathlib.Geometry.Manifold.DerivationBundle

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

@@ -57,10 +57,10 @@ variable {𝕜 M}
 
 namespace PointedSmoothMap
 
-#print PointedSmoothMap.instDFunLike /-
-instance instDFunLike {x : M} : DFunLike C^∞⟮I, M; 𝕜⟯⟨x⟩ M fun _ => 𝕜 :=
-  ContMDiffMap.instDFunLike
-#align pointed_smooth_map.fun_like PointedSmoothMap.instDFunLike
+#print PointedSmoothMap.instFunLike /-
+instance instFunLike {x : M} : DFunLike C^∞⟮I, M; 𝕜⟯⟨x⟩ M fun _ => 𝕜 :=
+  ContMDiffMap.instFunLike
+#align pointed_smooth_map.fun_like PointedSmoothMap.instFunLike
 -/
 
 instance {x : M} : CommRing C^∞⟮I, M; 𝕜⟯⟨x⟩ :=

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

@@ -57,10 +57,10 @@ variable {𝕜 M}
 
 namespace PointedSmoothMap
 
-#print PointedSmoothMap.funLike /-
-instance funLike {x : M} : FunLike C^∞⟮I, M; 𝕜⟯⟨x⟩ M fun _ => 𝕜 :=
-  ContMDiffMap.funLike
-#align pointed_smooth_map.fun_like PointedSmoothMap.funLike
+#print PointedSmoothMap.instDFunLike /-
+instance instDFunLike {x : M} : DFunLike C^∞⟮I, M; 𝕜⟯⟨x⟩ M fun _ => 𝕜 :=
+  ContMDiffMap.instDFunLike
+#align pointed_smooth_map.fun_like PointedSmoothMap.instDFunLike
 -/
 
 instance {x : M} : CommRing C^∞⟮I, M; 𝕜⟯⟨x⟩ :=

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

@@ -3,8 +3,8 @@ Copyright © 2020 Nicolò Cavalleri. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri
 -/
-import Mathbin.Geometry.Manifold.Algebra.SmoothFunctions
-import Mathbin.RingTheory.Derivation.Basic
+import Geometry.Manifold.Algebra.SmoothFunctions
+import RingTheory.Derivation.Basic
 
 #align_import geometry.manifold.derivation_bundle from "leanprover-community/mathlib"@"728ef9dbb281241906f25cbeb30f90d83e0bb451"
 

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

@@ -2,15 +2,12 @@
 Copyright © 2020 Nicolò Cavalleri. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri
-
-! This file was ported from Lean 3 source module geometry.manifold.derivation_bundle
-! 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.Geometry.Manifold.Algebra.SmoothFunctions
 import Mathbin.RingTheory.Derivation.Basic
 
+#align_import geometry.manifold.derivation_bundle from "leanprover-community/mathlib"@"728ef9dbb281241906f25cbeb30f90d83e0bb451"
+
 /-!
 
 # Derivation bundle

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri
 
 ! This file was ported from Lean 3 source module geometry.manifold.derivation_bundle
-! leanprover-community/mathlib commit 86c29aefdba50b3f33e86e52e3b2f51a0d8f0282
+! leanprover-community/mathlib commit 728ef9dbb281241906f25cbeb30f90d83e0bb451
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.RingTheory.Derivation.Basic
 
 # Derivation bundle
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we define the derivations at a point of a manifold on the algebra of smooth fuctions.
 Moreover, we define the differential of a function in terms of derivations.
 

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

@@ -31,19 +31,25 @@ variable (𝕜 : Type _) [NontriviallyNormedField 𝕜] {E : Type _} [NormedAddC
 
 open scoped Manifold
 
+#print smoothFunctionsAlgebra /-
 -- the following two instances prevent poorly understood type class inference timeout problems
 instance smoothFunctionsAlgebra : Algebra 𝕜 C^∞⟮I, M; 𝕜⟯ := by infer_instance
 #align smooth_functions_algebra smoothFunctionsAlgebra
+-/
 
+#print smooth_functions_tower /-
 instance smooth_functions_tower : IsScalarTower 𝕜 C^∞⟮I, M; 𝕜⟯ C^∞⟮I, M; 𝕜⟯ := by infer_instance
 #align smooth_functions_tower smooth_functions_tower
+-/
 
+#print PointedSmoothMap /-
 /-- Type synonym, introduced to put a different `has_smul` action on `C^n⟮I, M; 𝕜⟯`
 which is defined as `f • r = f(x) * r`. -/
 @[nolint unused_arguments]
 def PointedSmoothMap (x : M) :=
   C^n⟮I, M; 𝕜⟯
 #align pointed_smooth_map PointedSmoothMap
+-/
 
 scoped[Derivation] notation "C^" n "⟮" I ", " M "; " 𝕜 "⟯⟨" x "⟩" => PointedSmoothMap 𝕜 I M n x
 
@@ -51,9 +57,11 @@ variable {𝕜 M}
 
 namespace PointedSmoothMap
 
+#print PointedSmoothMap.funLike /-
 instance funLike {x : M} : FunLike C^∞⟮I, M; 𝕜⟯⟨x⟩ M fun _ => 𝕜 :=
   ContMDiffMap.funLike
 #align pointed_smooth_map.fun_like PointedSmoothMap.funLike
+-/
 
 instance {x : M} : CommRing C^∞⟮I, M; 𝕜⟯⟨x⟩ :=
   SmoothMap.commRing
@@ -72,19 +80,25 @@ instance {x : M} : IsScalarTower 𝕜 C^∞⟮I, M; 𝕜⟯⟨x⟩ C^∞⟮I, M;
 
 variable {I}
 
+#print PointedSmoothMap.evalAlgebra /-
 /-- `smooth_map.eval_ring_hom` gives rise to an algebra structure of `C^∞⟮I, M; 𝕜⟯` on `𝕜`. -/
 instance evalAlgebra {x : M} : Algebra C^∞⟮I, M; 𝕜⟯⟨x⟩ 𝕜 :=
   (SmoothMap.evalRingHom x : C^∞⟮I, M; 𝕜⟯⟨x⟩ →+* 𝕜).toAlgebra
 #align pointed_smooth_map.eval_algebra PointedSmoothMap.evalAlgebra
+-/
 
+#print PointedSmoothMap.eval /-
 /-- With the `eval_algebra` algebra structure evaluation is actually an algebra morphism. -/
 def eval (x : M) : C^∞⟮I, M; 𝕜⟯ →ₐ[C^∞⟮I, M; 𝕜⟯⟨x⟩] 𝕜 :=
   Algebra.ofId C^∞⟮I, M; 𝕜⟯⟨x⟩ 𝕜
 #align pointed_smooth_map.eval PointedSmoothMap.eval
+-/
 
+#print PointedSmoothMap.smul_def /-
 theorem smul_def (x : M) (f : C^∞⟮I, M; 𝕜⟯⟨x⟩) (k : 𝕜) : f • k = f x * k :=
   rfl
 #align pointed_smooth_map.smul_def PointedSmoothMap.smul_def
+-/
 
 instance (x : M) : IsScalarTower 𝕜 C^∞⟮I, M; 𝕜⟯⟨x⟩ 𝕜
     where smul_assoc k f h := by
@@ -94,35 +108,43 @@ end PointedSmoothMap
 
 open scoped Derivation
 
+#print PointDerivation /-
 /-- The derivations at a point of a manifold. Some regard this as a possible definition of the
 tangent space -/
 @[reducible]
 def PointDerivation (x : M) :=
   Derivation 𝕜 C^∞⟮I, M; 𝕜⟯⟨x⟩ 𝕜
 #align point_derivation PointDerivation
+-/
 
 section
 
 variable (I) {M} (X Y : Derivation 𝕜 C^∞⟮I, M; 𝕜⟯ C^∞⟮I, M; 𝕜⟯) (f g : C^∞⟮I, M; 𝕜⟯) (r : 𝕜)
 
+#print SmoothFunction.evalAt /-
 /-- Evaluation at a point gives rise to a `C^∞⟮I, M; 𝕜⟯`-linear map between `C^∞⟮I, M; 𝕜⟯` and `𝕜`.
  -/
 def SmoothFunction.evalAt (x : M) : C^∞⟮I, M; 𝕜⟯ →ₗ[C^∞⟮I, M; 𝕜⟯⟨x⟩] 𝕜 :=
   (PointedSmoothMap.eval x).toLinearMap
 #align smooth_function.eval_at SmoothFunction.evalAt
+-/
 
 namespace Derivation
 
 variable {I}
 
+#print Derivation.evalAt /-
 /-- The evaluation at a point as a linear map. -/
 def evalAt (x : M) : Derivation 𝕜 C^∞⟮I, M; 𝕜⟯ C^∞⟮I, M; 𝕜⟯ →ₗ[𝕜] PointDerivation I x :=
   (SmoothFunction.evalAt I x).compDer
 #align derivation.eval_at Derivation.evalAt
+-/
 
+#print Derivation.evalAt_apply /-
 theorem evalAt_apply (x : M) : evalAt x X f = (X f) x :=
   rfl
 #align derivation.eval_at_apply Derivation.evalAt_apply
+-/
 
 end Derivation
 
@@ -130,6 +152,7 @@ variable {I} {E' : Type _} [NormedAddCommGroup E'] [NormedSpace 𝕜 E'] {H' : T
   [TopologicalSpace H'] {I' : ModelWithCorners 𝕜 E' H'} {M' : Type _} [TopologicalSpace M']
   [ChartedSpace H' M']
 
+#print hfdifferential /-
 /-- The heterogeneous differential as a linear map. Instead of taking a function as an argument this
 differential takes `h : f x = y`. It is particularly handy to deal with situations where the points
 on where it has to be evaluated are equal but not definitionally equal. -/
@@ -148,12 +171,15 @@ def hfdifferential {f : C^∞⟮I, M; I', M'⟯} {x : M} {y : M'} (h : f x = y)
   map_smul' k v := rfl
   map_add' v w := rfl
 #align hfdifferential hfdifferential
+-/
 
+#print fdifferential /-
 /-- The homogeneous differential as a linear map. -/
 def fdifferential (f : C^∞⟮I, M; I', M'⟯) (x : M) :
     PointDerivation I x →ₗ[𝕜] PointDerivation I' (f x) :=
   hfdifferential (rfl : f x = f x)
 #align fdifferential fdifferential
+-/
 
 -- Standard notation for the differential. The abbreviation is `MId`.
 scoped[Manifold] notation "𝒅" => fdifferential
@@ -161,27 +187,33 @@ scoped[Manifold] notation "𝒅" => fdifferential
 -- Standard notation for the differential. The abbreviation is `MId`.
 scoped[Manifold] notation "𝒅ₕ" => hfdifferential
 
+#print apply_fdifferential /-
 @[simp]
 theorem apply_fdifferential (f : C^∞⟮I, M; I', M'⟯) {x : M} (v : PointDerivation I x)
     (g : C^∞⟮I', M'; 𝕜⟯) : 𝒅 f x v g = v (g.comp f) :=
   rfl
 #align apply_fdifferential apply_fdifferential
+-/
 
+#print apply_hfdifferential /-
 @[simp]
 theorem apply_hfdifferential {f : C^∞⟮I, M; I', M'⟯} {x : M} {y : M'} (h : f x = y)
     (v : PointDerivation I x) (g : C^∞⟮I', M'; 𝕜⟯) : 𝒅ₕ h v g = 𝒅 f x v g :=
   rfl
 #align apply_hfdifferential apply_hfdifferential
+-/
 
 variable {E'' : Type _} [NormedAddCommGroup E''] [NormedSpace 𝕜 E''] {H'' : Type _}
   [TopologicalSpace H''] {I'' : ModelWithCorners 𝕜 E'' H''} {M'' : Type _} [TopologicalSpace M'']
   [ChartedSpace H'' M'']
 
+#print fdifferential_comp /-
 @[simp]
 theorem fdifferential_comp (g : C^∞⟮I', M'; I'', M''⟯) (f : C^∞⟮I, M; I', M'⟯) (x : M) :
     𝒅 (g.comp f) x = (𝒅 g (f x)).comp (𝒅 f x) :=
   rfl
 #align fdifferential_comp fdifferential_comp
+-/
 
 end
 

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

@@ -52,7 +52,7 @@ variable {𝕜 M}
 namespace PointedSmoothMap
 
 instance funLike {x : M} : FunLike C^∞⟮I, M; 𝕜⟯⟨x⟩ M fun _ => 𝕜 :=
-  ContMdiffMap.funLike
+  ContMDiffMap.funLike
 #align pointed_smooth_map.fun_like PointedSmoothMap.funLike
 
 instance {x : M} : CommRing C^∞⟮I, M; 𝕜⟯⟨x⟩ :=
@@ -144,7 +144,7 @@ def hfdifferential {f : C^∞⟮I, M; I', M'⟯} {x : M} {y : M'} (h : f x = y)
           simp only [SmoothMap.smul_comp, Derivation.map_smul, RingHom.id_apply] }
       fun g g' => by
       simp only [Derivation.leibniz, SmoothMap.mul_comp, LinearMap.coe_mk,
-        PointedSmoothMap.smul_def, ContMdiffMap.comp_apply, h]
+        PointedSmoothMap.smul_def, ContMDiffMap.comp_apply, h]
   map_smul' k v := rfl
   map_add' v w := rfl
 #align hfdifferential hfdifferential

mathlib commit https://github.com/leanprover-community/mathlib/commit/f2ad3645af9effcdb587637dc28a6074edc813f9

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri
 
 ! This file was ported from Lean 3 source module geometry.manifold.derivation_bundle
-! leanprover-community/mathlib commit b608348ffaeb7f557f2fd46876037abafd326ff3
+! leanprover-community/mathlib commit 86c29aefdba50b3f33e86e52e3b2f51a0d8f0282
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -51,8 +51,9 @@ variable {𝕜 M}
 
 namespace PointedSmoothMap
 
-instance {x : M} : CoeFun C^∞⟮I, M; 𝕜⟯⟨x⟩ fun _ => M → 𝕜 :=
-  ContMdiffMap.hasCoeToFun
+instance funLike {x : M} : FunLike C^∞⟮I, M; 𝕜⟯⟨x⟩ M fun _ => 𝕜 :=
+  ContMdiffMap.funLike
+#align pointed_smooth_map.fun_like PointedSmoothMap.funLike
 
 instance {x : M} : CommRing C^∞⟮I, M; 𝕜⟯⟨x⟩ :=
   SmoothMap.commRing

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

@@ -45,7 +45,6 @@ def PointedSmoothMap (x : M) :=
   C^n⟮I, M; 𝕜⟯
 #align pointed_smooth_map PointedSmoothMap
 
--- mathport name: pointed_smooth_map
 scoped[Derivation] notation "C^" n "⟮" I ", " M "; " 𝕜 "⟯⟨" x "⟩" => PointedSmoothMap 𝕜 I M n x
 
 variable {𝕜 M}
@@ -155,11 +154,9 @@ def fdifferential (f : C^∞⟮I, M; I', M'⟯) (x : M) :
   hfdifferential (rfl : f x = f x)
 #align fdifferential fdifferential
 
--- mathport name: fdifferential
 -- Standard notation for the differential. The abbreviation is `MId`.
 scoped[Manifold] notation "𝒅" => fdifferential
 
--- mathport name: hfdifferential
 -- Standard notation for the differential. The abbreviation is `MId`.
 scoped[Manifold] notation "𝒅ₕ" => hfdifferential
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/34ebaffc1d1e8e783fc05438ec2e70af87275ac9

@@ -4,12 +4,12 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri
 
 ! This file was ported from Lean 3 source module geometry.manifold.derivation_bundle
-! leanprover-community/mathlib commit a0735864ba72769da4b378673d3dbe2453924fde
+! leanprover-community/mathlib commit b608348ffaeb7f557f2fd46876037abafd326ff3
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Geometry.Manifold.Algebra.SmoothFunctions
-import Mathbin.RingTheory.Derivation
+import Mathbin.RingTheory.Derivation.Basic
 
 /-!
 

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

@@ -29,7 +29,7 @@ variable (𝕜 : Type _) [NontriviallyNormedField 𝕜] {E : Type _} [NormedAddC
   [NormedSpace 𝕜 E] {H : Type _} [TopologicalSpace H] (I : ModelWithCorners 𝕜 E H) (M : Type _)
   [TopologicalSpace M] [ChartedSpace H M] (n : ℕ∞)
 
-open Manifold
+open scoped Manifold
 
 -- the following two instances prevent poorly understood type class inference timeout problems
 instance smoothFunctionsAlgebra : Algebra 𝕜 C^∞⟮I, M; 𝕜⟯ := by infer_instance
@@ -92,7 +92,7 @@ instance (x : M) : IsScalarTower 𝕜 C^∞⟮I, M; 𝕜⟯⟨x⟩ 𝕜
 
 end PointedSmoothMap
 
-open Derivation
+open scoped Derivation
 
 /-- The derivations at a point of a manifold. Some regard this as a possible definition of the
 tangent space -/

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

Make all the notations that unambiguously should inherit the docstring of their definition actually inherit it.

Also write a few docstrings by hand. I only wrote the ones I was competent to write and which I was sure of. Some docstrings come from mathlib3 as they were lost during the early port.

This PR is only intended as a first pass There are many more docstrings to add.

@@ -42,6 +42,7 @@ def PointedSmoothMap (_ : M) :=
   C^n⟮I, M; 𝕜⟯
 #align pointed_smooth_map PointedSmoothMap
 
+@[inherit_doc]
 scoped[Derivation] notation "C^" n "⟮" I ", " M "; " 𝕜 "⟯⟨" x "⟩" => PointedSmoothMap 𝕜 I M n x
 
 variable {𝕜 M}

This follows up from #9785, which renamed FunLike to DFunLike, by introducing a new abbreviation FunLike F α β := DFunLike F α (fun _ => β), to make the non-dependent use of FunLike easier.

I searched for the pattern DFunLike.*fun and DFunLike.*λ in all files to replace expressions of the form DFunLike F α (fun _ => β) with FunLike F α β. I did this everywhere except for extends clauses for two reasons: it would conflict with #8386, and more importantly extends must directly refer to a structure with no unfolding of defs or abbrevs.

@@ -50,9 +50,9 @@ namespace PointedSmoothMap
 
 open scoped Derivation
 
-instance instDFunLike {x : M} : DFunLike C^∞⟮I, M; 𝕜⟯⟨x⟩ M fun _ => 𝕜 :=
-  ContMDiffMap.instDFunLike
-#align pointed_smooth_map.fun_like PointedSmoothMap.instDFunLike
+instance instFunLike {x : M} : FunLike C^∞⟮I, M; 𝕜⟯⟨x⟩ M 𝕜 :=
+  ContMDiffMap.instFunLike
+#align pointed_smooth_map.fun_like PointedSmoothMap.instFunLike
 
 instance {x : M} : CommRing C^∞⟮I, M; 𝕜⟯⟨x⟩ :=
   SmoothMap.commRing

This prepares for the introduction of a non-dependent synonym of FunLike, which helps a lot with keeping #8386 readable.

This is entirely search-and-replace in 680197f combined with manual fixes in 4145626, e900597 and b8428f8. The commands that generated this change:

sed -i 's/\bFunLike\b/DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoFunLike\b/toDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/import Mathlib.Data.DFunLike/import Mathlib.Data.FunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bHom_FunLike\b/Hom_DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean     
sed -i 's/\binstFunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bfunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoo many metavariables to apply `fun_like.has_coe_to_fun`/too many metavariables to apply `DFunLike.hasCoeToFun`/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean

Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

@@ -50,9 +50,9 @@ namespace PointedSmoothMap
 
 open scoped Derivation
 
-instance funLike {x : M} : FunLike C^∞⟮I, M; 𝕜⟯⟨x⟩ M fun _ => 𝕜 :=
-  ContMDiffMap.funLike
-#align pointed_smooth_map.fun_like PointedSmoothMap.funLike
+instance instDFunLike {x : M} : DFunLike C^∞⟮I, M; 𝕜⟯⟨x⟩ M fun _ => 𝕜 :=
+  ContMDiffMap.instDFunLike
+#align pointed_smooth_map.fun_like PointedSmoothMap.instDFunLike
 
 instance {x : M} : CommRing C^∞⟮I, M; 𝕜⟯⟨x⟩ :=
   SmoothMap.commRing

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

This has nice performance benefits.

@@ -22,8 +22,8 @@ of the Lie algebra for a Lie group.
 -/
 
 
-variable (𝕜 : Type _) [NontriviallyNormedField 𝕜] {E : Type _} [NormedAddCommGroup E]
-  [NormedSpace 𝕜 E] {H : Type _} [TopologicalSpace H] (I : ModelWithCorners 𝕜 E H) (M : Type _)
+variable (𝕜 : Type*) [NontriviallyNormedField 𝕜] {E : Type*} [NormedAddCommGroup E]
+  [NormedSpace 𝕜 E] {H : Type*} [TopologicalSpace H] (I : ModelWithCorners 𝕜 E H) (M : Type*)
   [TopologicalSpace M] [ChartedSpace H M] (n : ℕ∞)
 
 open scoped Manifold
@@ -127,8 +127,8 @@ theorem evalAt_apply (x : M) : evalAt x X f = (X f) x :=
 
 end Derivation
 
-variable {I} {E' : Type _} [NormedAddCommGroup E'] [NormedSpace 𝕜 E'] {H' : Type _}
-  [TopologicalSpace H'] {I' : ModelWithCorners 𝕜 E' H'} {M' : Type _} [TopologicalSpace M']
+variable {I} {E' : Type*} [NormedAddCommGroup E'] [NormedSpace 𝕜 E'] {H' : Type*}
+  [TopologicalSpace H'] {I' : ModelWithCorners 𝕜 E' H'} {M' : Type*} [TopologicalSpace M']
   [ChartedSpace H' M']
 
 /-- The heterogeneous differential as a linear map. Instead of taking a function as an argument this
@@ -176,8 +176,8 @@ theorem apply_hfdifferential {f : C^∞⟮I, M; I', M'⟯} {x : M} {y : M'} (h :
   rfl
 #align apply_hfdifferential apply_hfdifferential
 
-variable {E'' : Type _} [NormedAddCommGroup E''] [NormedSpace 𝕜 E''] {H'' : Type _}
-  [TopologicalSpace H''] {I'' : ModelWithCorners 𝕜 E'' H''} {M'' : Type _} [TopologicalSpace M'']
+variable {E'' : Type*} [NormedAddCommGroup E''] [NormedSpace 𝕜 E''] {H'' : Type*}
+  [TopologicalSpace H''] {I'' : ModelWithCorners 𝕜 E'' H''} {M'' : Type*} [TopologicalSpace M'']
   [ChartedSpace H'' M'']
 
 @[simp]

• depends on: #5966

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

@@ -2,15 +2,12 @@
 Copyright © 2020 Nicolò Cavalleri. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri
-
-! This file was ported from Lean 3 source module geometry.manifold.derivation_bundle
-! leanprover-community/mathlib commit 86c29aefdba50b3f33e86e52e3b2f51a0d8f0282
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Geometry.Manifold.Algebra.SmoothFunctions
 import Mathlib.RingTheory.Derivation.Basic
 
+#align_import geometry.manifold.derivation_bundle from "leanprover-community/mathlib"@"86c29aefdba50b3f33e86e52e3b2f51a0d8f0282"
+
 /-!
 
 # Derivation bundle