geometry.manifold.diffeomorph ⟷ Mathlib.Geometry.Manifold.Diffeomorph

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

@@ -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, Yury Kudryashov
 -/
-import Geometry.Manifold.ContMdiffMap
-import Geometry.Manifold.ContMdiffMfderiv
+import Geometry.Manifold.ContMDiffMap
+import Geometry.Manifold.ContMDiffMFDeriv
 
 #align_import geometry.manifold.diffeomorph from "leanprover-community/mathlib"@"1a51edf13debfcbe223fa06b1cb353b9ed9751cc"
 

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

@@ -402,7 +402,7 @@ theorem contMDiffWithinAt_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N)
   by
   constructor
   · intro Hfh
-    rw [← h.symm_apply_apply x] at Hfh 
+    rw [← h.symm_apply_apply x] at Hfh
     simpa only [(· ∘ ·), h.apply_symm_apply] using
       Hfh.comp (h x) (h.symm.cont_mdiff_within_at.of_le hm) (maps_to_preimage _ _)
   · rw [← h.image_eq_preimage]
@@ -733,7 +733,7 @@ def toTransDiffeomorph (e : E ≃ₘ[𝕜] F) : M ≃ₘ⟮I, I.transDiffeomorph
     by
     refine' contMDiffWithinAt_iff'.2 ⟨continuousWithinAt_id, _⟩
     refine' e.symm.cont_diff.cont_diff_within_at.congr' (fun y hy => _) _
-    · simp only [mem_inter_iff, I.ext_chart_at_trans_diffeomorph_target] at hy 
+    · simp only [mem_inter_iff, I.ext_chart_at_trans_diffeomorph_target] at hy
       simp only [Equiv.coe_refl, Equiv.refl_symm, id, (· ∘ ·),
         I.coe_ext_chart_at_trans_diffeomorph_symm, (extChartAt I x).right_inv hy.1]
     exact

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

@@ -645,7 +645,7 @@ variable (I) (e : E ≃ₘ[𝕜] E')
 /-- Apply a diffeomorphism (e.g., a continuous linear equivalence) to the model vector space. -/
 def transDiffeomorph (I : ModelWithCorners 𝕜 E H) (e : E ≃ₘ[𝕜] E') : ModelWithCorners 𝕜 E' H
     where
-  toLocalEquiv := I.toLocalEquiv.trans e.toEquiv.toLocalEquiv
+  toPartialEquiv := I.toPartialEquiv.trans e.toEquiv.toPartialEquiv
   source_eq := by simp
   unique_diff' := by simp [range_comp e, I.unique_diff]
   continuous_toFun := e.Continuous.comp I.Continuous

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

@@ -471,11 +471,11 @@ theorem contMDiff_diffeomorph_comp_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : M'
 #align diffeomorph.cont_mdiff_diffeomorph_comp_iff Diffeomorph.contMDiff_diffeomorph_comp_iff
 -/
 
-#print Diffeomorph.toLocalHomeomorph_mdifferentiable /-
-theorem toLocalHomeomorph_mdifferentiable (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) :
-    h.toHomeomorph.toLocalHomeomorph.MDifferentiable I J :=
+#print Diffeomorph.toPartialHomeomorph_mdifferentiable /-
+theorem toPartialHomeomorph_mdifferentiable (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) :
+    h.toHomeomorph.toPartialHomeomorph.MDifferentiable I J :=
   ⟨h.MDifferentiableOn _ hn, h.symm.MDifferentiableOn _ hn⟩
-#align diffeomorph.to_local_homeomorph_mdifferentiable Diffeomorph.toLocalHomeomorph_mdifferentiable
+#align diffeomorph.to_local_homeomorph_mdifferentiable Diffeomorph.toPartialHomeomorph_mdifferentiable
 -/
 
 section Constructions

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, Yury Kudryashov
 -/
-import Mathbin.Geometry.Manifold.ContMdiffMap
-import Mathbin.Geometry.Manifold.ContMdiffMfderiv
+import Geometry.Manifold.ContMdiffMap
+import Geometry.Manifold.ContMdiffMfderiv
 
 #align_import geometry.manifold.diffeomorph from "leanprover-community/mathlib"@"1a51edf13debfcbe223fa06b1cb353b9ed9751cc"
 

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, Yury Kudryashov
-
-! This file was ported from Lean 3 source module geometry.manifold.diffeomorph
-! leanprover-community/mathlib commit 1a51edf13debfcbe223fa06b1cb353b9ed9751cc
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Geometry.Manifold.ContMdiffMap
 import Mathbin.Geometry.Manifold.ContMdiffMfderiv
 
+#align_import geometry.manifold.diffeomorph from "leanprover-community/mathlib"@"1a51edf13debfcbe223fa06b1cb353b9ed9751cc"
+
 /-!
 # Diffeomorphisms
 

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri, Yury Kudryashov
 
 ! This file was ported from Lean 3 source module geometry.manifold.diffeomorph
-! leanprover-community/mathlib commit e354e865255654389cc46e6032160238df2e0f40
+! leanprover-community/mathlib commit 1a51edf13debfcbe223fa06b1cb353b9ed9751cc
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Geometry.Manifold.ContMdiffMfderiv
 
 /-!
 # Diffeomorphisms
+
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
 This file implements diffeomorphisms.
 
 ## Definitions

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

@@ -68,6 +68,7 @@ section Defs
 
 variable (I I' M M' n)
 
+#print Diffeomorph /-
 /--
 `n`-times continuously differentiable diffeomorphism between `M` and `M'` with respect to I and I'
 -/
@@ -76,6 +77,7 @@ structure Diffeomorph extends M ≃ M' where
   contMDiff_to_fun : ContMDiff I I' n to_equiv
   contMDiff_inv_fun : ContMDiff I' I n to_equiv.symm
 #align diffeomorph Diffeomorph
+-/
 
 end Defs
 
@@ -99,68 +101,96 @@ instance : CoeFun (M ≃ₘ^n⟮I, I'⟯ M') fun _ => M → M' :=
 instance : Coe (M ≃ₘ^n⟮I, I'⟯ M') C^n⟮I, M; I', M'⟯ :=
   ⟨fun Φ => ⟨Φ, Φ.contMDiff_to_fun⟩⟩
 
+#print Diffeomorph.continuous /-
 @[continuity]
 protected theorem continuous (h : M ≃ₘ^n⟮I, I'⟯ M') : Continuous h :=
   h.contMDiff_to_fun.Continuous
 #align diffeomorph.continuous Diffeomorph.continuous
+-/
 
+#print Diffeomorph.contMDiff /-
 protected theorem contMDiff (h : M ≃ₘ^n⟮I, I'⟯ M') : ContMDiff I I' n h :=
   h.contMDiff_to_fun
 #align diffeomorph.cont_mdiff Diffeomorph.contMDiff
+-/
 
+#print Diffeomorph.contMDiffAt /-
 protected theorem contMDiffAt (h : M ≃ₘ^n⟮I, I'⟯ M') {x} : ContMDiffAt I I' n h x :=
   h.ContMDiff.ContMDiffAt
 #align diffeomorph.cont_mdiff_at Diffeomorph.contMDiffAt
+-/
 
+#print Diffeomorph.contMDiffWithinAt /-
 protected theorem contMDiffWithinAt (h : M ≃ₘ^n⟮I, I'⟯ M') {s x} : ContMDiffWithinAt I I' n h s x :=
   h.ContMDiffAt.ContMDiffWithinAt
 #align diffeomorph.cont_mdiff_within_at Diffeomorph.contMDiffWithinAt
+-/
 
+#print Diffeomorph.contDiff /-
 protected theorem contDiff (h : E ≃ₘ^n[𝕜] E') : ContDiff 𝕜 n h :=
   h.ContMDiff.ContDiff
 #align diffeomorph.cont_diff Diffeomorph.contDiff
+-/
 
+#print Diffeomorph.smooth /-
 protected theorem smooth (h : M ≃ₘ⟮I, I'⟯ M') : Smooth I I' h :=
   h.contMDiff_to_fun
 #align diffeomorph.smooth Diffeomorph.smooth
+-/
 
-protected theorem mDifferentiable (h : M ≃ₘ^n⟮I, I'⟯ M') (hn : 1 ≤ n) : MDifferentiable I I' h :=
+#print Diffeomorph.mdifferentiable /-
+protected theorem mdifferentiable (h : M ≃ₘ^n⟮I, I'⟯ M') (hn : 1 ≤ n) : MDifferentiable I I' h :=
   h.ContMDiff.MDifferentiable hn
-#align diffeomorph.mdifferentiable Diffeomorph.mDifferentiable
+#align diffeomorph.mdifferentiable Diffeomorph.mdifferentiable
+-/
 
-protected theorem mDifferentiableOn (h : M ≃ₘ^n⟮I, I'⟯ M') (s : Set M) (hn : 1 ≤ n) :
+#print Diffeomorph.mdifferentiableOn /-
+protected theorem mdifferentiableOn (h : M ≃ₘ^n⟮I, I'⟯ M') (s : Set M) (hn : 1 ≤ n) :
     MDifferentiableOn I I' h s :=
   (h.MDifferentiable hn).MDifferentiableOn
-#align diffeomorph.mdifferentiable_on Diffeomorph.mDifferentiableOn
+#align diffeomorph.mdifferentiable_on Diffeomorph.mdifferentiableOn
+-/
 
+#print Diffeomorph.coe_toEquiv /-
 @[simp]
 theorem coe_toEquiv (h : M ≃ₘ^n⟮I, I'⟯ M') : ⇑h.toEquiv = h :=
   rfl
 #align diffeomorph.coe_to_equiv Diffeomorph.coe_toEquiv
+-/
 
+#print Diffeomorph.coe_coe /-
 @[simp, norm_cast]
 theorem coe_coe (h : M ≃ₘ^n⟮I, I'⟯ M') : ⇑(h : C^n⟮I, M; I', M'⟯) = h :=
   rfl
 #align diffeomorph.coe_coe Diffeomorph.coe_coe
+-/
 
+#print Diffeomorph.toEquiv_injective /-
 theorem toEquiv_injective : Injective (Diffeomorph.toEquiv : (M ≃ₘ^n⟮I, I'⟯ M') → M ≃ M')
   | ⟨e, _, _⟩, ⟨e', _, _⟩, rfl => rfl
 #align diffeomorph.to_equiv_injective Diffeomorph.toEquiv_injective
+-/
 
+#print Diffeomorph.toEquiv_inj /-
 @[simp]
 theorem toEquiv_inj {h h' : M ≃ₘ^n⟮I, I'⟯ M'} : h.toEquiv = h'.toEquiv ↔ h = h' :=
   toEquiv_injective.eq_iff
 #align diffeomorph.to_equiv_inj Diffeomorph.toEquiv_inj
+-/
 
+#print Diffeomorph.coeFn_injective /-
 /-- Coercion to function `λ h : M ≃ₘ^n⟮I, I'⟯ M', (h : M → M')` is injective. -/
 theorem coeFn_injective : Injective fun (h : M ≃ₘ^n⟮I, I'⟯ M') (x : M) => h x :=
   Equiv.coe_fn_injective.comp toEquiv_injective
 #align diffeomorph.coe_fn_injective Diffeomorph.coeFn_injective
+-/
 
+#print Diffeomorph.ext /-
 @[ext]
 theorem ext {h h' : M ≃ₘ^n⟮I, I'⟯ M'} (Heq : ∀ x, h x = h' x) : h = h' :=
   coeFn_injective <| funext Heq
 #align diffeomorph.ext Diffeomorph.ext
+-/
 
 instance : ContinuousMapClass (M ≃ₘ⟮I, J⟯ N) M N
     where
@@ -172,6 +202,7 @@ section
 
 variable (M I n)
 
+#print Diffeomorph.refl /-
 /-- Identity map as a diffeomorphism. -/
 protected def refl : M ≃ₘ^n⟮I, I⟯ M
     where
@@ -179,19 +210,25 @@ protected def refl : M ≃ₘ^n⟮I, I⟯ M
   contMDiff_inv_fun := contMDiff_id
   toEquiv := Equiv.refl M
 #align diffeomorph.refl Diffeomorph.refl
+-/
 
+#print Diffeomorph.refl_toEquiv /-
 @[simp]
 theorem refl_toEquiv : (Diffeomorph.refl I M n).toEquiv = Equiv.refl _ :=
   rfl
 #align diffeomorph.refl_to_equiv Diffeomorph.refl_toEquiv
+-/
 
+#print Diffeomorph.coe_refl /-
 @[simp]
 theorem coe_refl : ⇑(Diffeomorph.refl I M n) = id :=
   rfl
 #align diffeomorph.coe_refl Diffeomorph.coe_refl
+-/
 
 end
 
+#print Diffeomorph.trans /-
 /-- Composition of two diffeomorphisms. -/
 protected def trans (h₁ : M ≃ₘ^n⟮I, I'⟯ M') (h₂ : M' ≃ₘ^n⟮I', J⟯ N) : M ≃ₘ^n⟮I, J⟯ N
     where
@@ -199,22 +236,30 @@ protected def trans (h₁ : M ≃ₘ^n⟮I, I'⟯ M') (h₂ : M' ≃ₘ^n⟮I',
   contMDiff_inv_fun := h₁.contMDiff_inv_fun.comp h₂.contMDiff_inv_fun
   toEquiv := h₁.toEquiv.trans h₂.toEquiv
 #align diffeomorph.trans Diffeomorph.trans
+-/
 
+#print Diffeomorph.trans_refl /-
 @[simp]
 theorem trans_refl (h : M ≃ₘ^n⟮I, I'⟯ M') : h.trans (Diffeomorph.refl I' M' n) = h :=
   ext fun _ => rfl
 #align diffeomorph.trans_refl Diffeomorph.trans_refl
+-/
 
+#print Diffeomorph.refl_trans /-
 @[simp]
 theorem refl_trans (h : M ≃ₘ^n⟮I, I'⟯ M') : (Diffeomorph.refl I M n).trans h = h :=
   ext fun _ => rfl
 #align diffeomorph.refl_trans Diffeomorph.refl_trans
+-/
 
+#print Diffeomorph.coe_trans /-
 @[simp]
 theorem coe_trans (h₁ : M ≃ₘ^n⟮I, I'⟯ M') (h₂ : M' ≃ₘ^n⟮I', J⟯ N) : ⇑(h₁.trans h₂) = h₂ ∘ h₁ :=
   rfl
 #align diffeomorph.coe_trans Diffeomorph.coe_trans
+-/
 
+#print Diffeomorph.symm /-
 /-- Inverse of a diffeomorphism. -/
 protected def symm (h : M ≃ₘ^n⟮I, J⟯ N) : N ≃ₘ^n⟮J, I⟯ M
     where
@@ -222,96 +267,134 @@ protected def symm (h : M ≃ₘ^n⟮I, J⟯ N) : N ≃ₘ^n⟮J, I⟯ M
   contMDiff_inv_fun := h.contMDiff_to_fun
   toEquiv := h.toEquiv.symm
 #align diffeomorph.symm Diffeomorph.symm
+-/
 
+#print Diffeomorph.apply_symm_apply /-
 @[simp]
 theorem apply_symm_apply (h : M ≃ₘ^n⟮I, J⟯ N) (x : N) : h (h.symm x) = x :=
   h.toEquiv.apply_symm_apply x
 #align diffeomorph.apply_symm_apply Diffeomorph.apply_symm_apply
+-/
 
+#print Diffeomorph.symm_apply_apply /-
 @[simp]
 theorem symm_apply_apply (h : M ≃ₘ^n⟮I, J⟯ N) (x : M) : h.symm (h x) = x :=
   h.toEquiv.symm_apply_apply x
 #align diffeomorph.symm_apply_apply Diffeomorph.symm_apply_apply
+-/
 
+#print Diffeomorph.symm_refl /-
 @[simp]
 theorem symm_refl : (Diffeomorph.refl I M n).symm = Diffeomorph.refl I M n :=
   ext fun _ => rfl
 #align diffeomorph.symm_refl Diffeomorph.symm_refl
+-/
 
+#print Diffeomorph.self_trans_symm /-
 @[simp]
 theorem self_trans_symm (h : M ≃ₘ^n⟮I, J⟯ N) : h.trans h.symm = Diffeomorph.refl I M n :=
   ext h.symm_apply_apply
 #align diffeomorph.self_trans_symm Diffeomorph.self_trans_symm
+-/
 
+#print Diffeomorph.symm_trans_self /-
 @[simp]
 theorem symm_trans_self (h : M ≃ₘ^n⟮I, J⟯ N) : h.symm.trans h = Diffeomorph.refl J N n :=
   ext h.apply_symm_apply
 #align diffeomorph.symm_trans_self Diffeomorph.symm_trans_self
+-/
 
+#print Diffeomorph.symm_trans' /-
 @[simp]
 theorem symm_trans' (h₁ : M ≃ₘ^n⟮I, I'⟯ M') (h₂ : M' ≃ₘ^n⟮I', J⟯ N) :
     (h₁.trans h₂).symm = h₂.symm.trans h₁.symm :=
   rfl
 #align diffeomorph.symm_trans' Diffeomorph.symm_trans'
+-/
 
+#print Diffeomorph.symm_toEquiv /-
 @[simp]
 theorem symm_toEquiv (h : M ≃ₘ^n⟮I, J⟯ N) : h.symm.toEquiv = h.toEquiv.symm :=
   rfl
 #align diffeomorph.symm_to_equiv Diffeomorph.symm_toEquiv
+-/
 
+#print Diffeomorph.toEquiv_coe_symm /-
 @[simp, mfld_simps]
 theorem toEquiv_coe_symm (h : M ≃ₘ^n⟮I, J⟯ N) : ⇑h.toEquiv.symm = h.symm :=
   rfl
 #align diffeomorph.to_equiv_coe_symm Diffeomorph.toEquiv_coe_symm
+-/
 
+#print Diffeomorph.image_eq_preimage /-
 theorem image_eq_preimage (h : M ≃ₘ^n⟮I, J⟯ N) (s : Set M) : h '' s = h.symm ⁻¹' s :=
   h.toEquiv.image_eq_preimage s
 #align diffeomorph.image_eq_preimage Diffeomorph.image_eq_preimage
+-/
 
+#print Diffeomorph.symm_image_eq_preimage /-
 theorem symm_image_eq_preimage (h : M ≃ₘ^n⟮I, J⟯ N) (s : Set N) : h.symm '' s = h ⁻¹' s :=
   h.symm.image_eq_preimage s
 #align diffeomorph.symm_image_eq_preimage Diffeomorph.symm_image_eq_preimage
+-/
 
+#print Diffeomorph.range_comp /-
 @[simp, mfld_simps]
 theorem range_comp {α} (h : M ≃ₘ^n⟮I, J⟯ N) (f : α → M) : range (h ∘ f) = h.symm ⁻¹' range f := by
   rw [range_comp, image_eq_preimage]
 #align diffeomorph.range_comp Diffeomorph.range_comp
+-/
 
+#print Diffeomorph.image_symm_image /-
 @[simp]
 theorem image_symm_image (h : M ≃ₘ^n⟮I, J⟯ N) (s : Set N) : h '' (h.symm '' s) = s :=
   h.toEquiv.image_symm_image s
 #align diffeomorph.image_symm_image Diffeomorph.image_symm_image
+-/
 
+#print Diffeomorph.symm_image_image /-
 @[simp]
 theorem symm_image_image (h : M ≃ₘ^n⟮I, J⟯ N) (s : Set M) : h.symm '' (h '' s) = s :=
   h.toEquiv.symm_image_image s
 #align diffeomorph.symm_image_image Diffeomorph.symm_image_image
+-/
 
+#print Diffeomorph.toHomeomorph /-
 /-- A diffeomorphism is a homeomorphism. -/
 def toHomeomorph (h : M ≃ₘ^n⟮I, J⟯ N) : M ≃ₜ N :=
   ⟨h.toEquiv, h.Continuous, h.symm.Continuous⟩
 #align diffeomorph.to_homeomorph Diffeomorph.toHomeomorph
+-/
 
+#print Diffeomorph.toHomeomorph_toEquiv /-
 @[simp]
 theorem toHomeomorph_toEquiv (h : M ≃ₘ^n⟮I, J⟯ N) : h.toHomeomorph.toEquiv = h.toEquiv :=
   rfl
 #align diffeomorph.to_homeomorph_to_equiv Diffeomorph.toHomeomorph_toEquiv
+-/
 
+#print Diffeomorph.symm_toHomeomorph /-
 @[simp]
 theorem symm_toHomeomorph (h : M ≃ₘ^n⟮I, J⟯ N) : h.symm.toHomeomorph = h.toHomeomorph.symm :=
   rfl
 #align diffeomorph.symm_to_homeomorph Diffeomorph.symm_toHomeomorph
+-/
 
+#print Diffeomorph.coe_toHomeomorph /-
 @[simp]
 theorem coe_toHomeomorph (h : M ≃ₘ^n⟮I, J⟯ N) : ⇑h.toHomeomorph = h :=
   rfl
 #align diffeomorph.coe_to_homeomorph Diffeomorph.coe_toHomeomorph
+-/
 
+#print Diffeomorph.coe_toHomeomorph_symm /-
 @[simp]
 theorem coe_toHomeomorph_symm (h : M ≃ₘ^n⟮I, J⟯ N) : ⇑h.toHomeomorph.symm = h.symm :=
   rfl
 #align diffeomorph.coe_to_homeomorph_symm Diffeomorph.coe_toHomeomorph_symm
+-/
 
+#print Diffeomorph.contMDiffWithinAt_comp_diffeomorph_iff /-
 @[simp]
 theorem contMDiffWithinAt_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : N → M'} {s x}
     (hm : m ≤ n) :
@@ -325,7 +408,9 @@ theorem contMDiffWithinAt_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N)
   · rw [← h.image_eq_preimage]
     exact fun hf => hf.comp x (h.cont_mdiff_within_at.of_le hm) (maps_to_image _ _)
 #align diffeomorph.cont_mdiff_within_at_comp_diffeomorph_iff Diffeomorph.contMDiffWithinAt_comp_diffeomorph_iff
+-/
 
+#print Diffeomorph.contMDiffOn_comp_diffeomorph_iff /-
 @[simp]
 theorem contMDiffOn_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : N → M'} {s} (hm : m ≤ n) :
     ContMDiffOn I I' m (f ∘ h) s ↔ ContMDiffOn J I' m f (h.symm ⁻¹' s) :=
@@ -333,19 +418,25 @@ theorem contMDiffOn_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : N
     simp only [hm, coe_to_equiv, symm_apply_apply, cont_mdiff_within_at_comp_diffeomorph_iff,
       mem_preimage]
 #align diffeomorph.cont_mdiff_on_comp_diffeomorph_iff Diffeomorph.contMDiffOn_comp_diffeomorph_iff
+-/
 
+#print Diffeomorph.contMDiffAt_comp_diffeomorph_iff /-
 @[simp]
 theorem contMDiffAt_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : N → M'} {x} (hm : m ≤ n) :
     ContMDiffAt I I' m (f ∘ h) x ↔ ContMDiffAt J I' m f (h x) :=
   h.contMDiffWithinAt_comp_diffeomorph_iff hm
 #align diffeomorph.cont_mdiff_at_comp_diffeomorph_iff Diffeomorph.contMDiffAt_comp_diffeomorph_iff
+-/
 
+#print Diffeomorph.contMDiff_comp_diffeomorph_iff /-
 @[simp]
 theorem contMDiff_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : N → M'} (hm : m ≤ n) :
     ContMDiff I I' m (f ∘ h) ↔ ContMDiff J I' m f :=
   h.toEquiv.forall_congr' fun x => h.contMDiffAt_comp_diffeomorph_iff hm
 #align diffeomorph.cont_mdiff_comp_diffeomorph_iff Diffeomorph.contMDiff_comp_diffeomorph_iff
+-/
 
+#print Diffeomorph.contMDiffWithinAt_diffeomorph_comp_iff /-
 @[simp]
 theorem contMDiffWithinAt_diffeomorph_comp_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : M' → M} (hm : m ≤ n)
     {s x} : ContMDiffWithinAt I' J m (h ∘ f) s x ↔ ContMDiffWithinAt I' I m f s x :=
@@ -354,32 +445,42 @@ theorem contMDiffWithinAt_diffeomorph_comp_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N)
       (h.symm.cont_mdiff_at.of_le hm).comp_contMDiffWithinAt _ Hhf,
     fun Hf => (h.ContMDiffAt.of_le hm).comp_contMDiffWithinAt _ Hf⟩
 #align diffeomorph.cont_mdiff_within_at_diffeomorph_comp_iff Diffeomorph.contMDiffWithinAt_diffeomorph_comp_iff
+-/
 
+#print Diffeomorph.contMDiffAt_diffeomorph_comp_iff /-
 @[simp]
 theorem contMDiffAt_diffeomorph_comp_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : M' → M} (hm : m ≤ n) {x} :
     ContMDiffAt I' J m (h ∘ f) x ↔ ContMDiffAt I' I m f x :=
   h.contMDiffWithinAt_diffeomorph_comp_iff hm
 #align diffeomorph.cont_mdiff_at_diffeomorph_comp_iff Diffeomorph.contMDiffAt_diffeomorph_comp_iff
+-/
 
+#print Diffeomorph.contMDiffOn_diffeomorph_comp_iff /-
 @[simp]
 theorem contMDiffOn_diffeomorph_comp_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : M' → M} (hm : m ≤ n) {s} :
     ContMDiffOn I' J m (h ∘ f) s ↔ ContMDiffOn I' I m f s :=
   forall₂_congr fun x hx => h.contMDiffWithinAt_diffeomorph_comp_iff hm
 #align diffeomorph.cont_mdiff_on_diffeomorph_comp_iff Diffeomorph.contMDiffOn_diffeomorph_comp_iff
+-/
 
+#print Diffeomorph.contMDiff_diffeomorph_comp_iff /-
 @[simp]
 theorem contMDiff_diffeomorph_comp_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : M' → M} (hm : m ≤ n) :
     ContMDiff I' J m (h ∘ f) ↔ ContMDiff I' I m f :=
   forall_congr' fun x => h.contMDiffWithinAt_diffeomorph_comp_iff hm
 #align diffeomorph.cont_mdiff_diffeomorph_comp_iff Diffeomorph.contMDiff_diffeomorph_comp_iff
+-/
 
-theorem toLocalHomeomorph_mDifferentiable (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) :
+#print Diffeomorph.toLocalHomeomorph_mdifferentiable /-
+theorem toLocalHomeomorph_mdifferentiable (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) :
     h.toHomeomorph.toLocalHomeomorph.MDifferentiable I J :=
   ⟨h.MDifferentiableOn _ hn, h.symm.MDifferentiableOn _ hn⟩
-#align diffeomorph.to_local_homeomorph_mdifferentiable Diffeomorph.toLocalHomeomorph_mDifferentiable
+#align diffeomorph.to_local_homeomorph_mdifferentiable Diffeomorph.toLocalHomeomorph_mdifferentiable
+-/
 
 section Constructions
 
+#print Diffeomorph.prodCongr /-
 /-- Product of two diffeomorphisms. -/
 def prodCongr (h₁ : M ≃ₘ^n⟮I, I'⟯ M') (h₂ : N ≃ₘ^n⟮J, J'⟯ N') :
     (M × N) ≃ₘ^n⟮I.Prod J, I'.Prod J'⟯ M' × N'
@@ -389,23 +490,29 @@ def prodCongr (h₁ : M ≃ₘ^n⟮I, I'⟯ M') (h₂ : N ≃ₘ^n⟮J, J'⟯ N'
     (h₁.symm.ContMDiff.comp contMDiff_fst).prod_mk (h₂.symm.ContMDiff.comp contMDiff_snd)
   toEquiv := h₁.toEquiv.prodCongr h₂.toEquiv
 #align diffeomorph.prod_congr Diffeomorph.prodCongr
+-/
 
+#print Diffeomorph.prodCongr_symm /-
 @[simp]
 theorem prodCongr_symm (h₁ : M ≃ₘ^n⟮I, I'⟯ M') (h₂ : N ≃ₘ^n⟮J, J'⟯ N') :
     (h₁.prodCongr h₂).symm = h₁.symm.prodCongr h₂.symm :=
   rfl
 #align diffeomorph.prod_congr_symm Diffeomorph.prodCongr_symm
+-/
 
+#print Diffeomorph.coe_prodCongr /-
 @[simp]
 theorem coe_prodCongr (h₁ : M ≃ₘ^n⟮I, I'⟯ M') (h₂ : N ≃ₘ^n⟮J, J'⟯ N') :
     ⇑(h₁.prodCongr h₂) = Prod.map h₁ h₂ :=
   rfl
 #align diffeomorph.coe_prod_congr Diffeomorph.coe_prodCongr
+-/
 
 section
 
 variable (I J J' M N N' n)
 
+#print Diffeomorph.prodComm /-
 /-- `M × N` is diffeomorphic to `N × M`. -/
 def prodComm : (M × N) ≃ₘ^n⟮I.Prod J, J.Prod I⟯ N × M
     where
@@ -413,17 +520,23 @@ def prodComm : (M × N) ≃ₘ^n⟮I.Prod J, J.Prod I⟯ N × M
   contMDiff_inv_fun := contMDiff_snd.prod_mk contMDiff_fst
   toEquiv := Equiv.prodComm M N
 #align diffeomorph.prod_comm Diffeomorph.prodComm
+-/
 
+#print Diffeomorph.prodComm_symm /-
 @[simp]
 theorem prodComm_symm : (prodComm I J M N n).symm = prodComm J I N M n :=
   rfl
 #align diffeomorph.prod_comm_symm Diffeomorph.prodComm_symm
+-/
 
+#print Diffeomorph.coe_prodComm /-
 @[simp]
 theorem coe_prodComm : ⇑(prodComm I J M N n) = Prod.swap :=
   rfl
 #align diffeomorph.coe_prod_comm Diffeomorph.coe_prodComm
+-/
 
+#print Diffeomorph.prodAssoc /-
 /-- `(M × N) × N'` is diffeomorphic to `M × (N × N')`. -/
 def prodAssoc : ((M × N) × N') ≃ₘ^n⟮(I.Prod J).Prod J', I.Prod (J.Prod J')⟯ M × N × N'
     where
@@ -435,6 +548,7 @@ def prodAssoc : ((M × N) × N') ≃ₘ^n⟮(I.Prod J).Prod J', I.Prod (J.Prod J
       (contMDiff_snd.comp contMDiff_snd)
   toEquiv := Equiv.prodAssoc M N N'
 #align diffeomorph.prod_assoc Diffeomorph.prodAssoc
+-/
 
 end
 
@@ -442,37 +556,47 @@ end Constructions
 
 variable [SmoothManifoldWithCorners I M] [SmoothManifoldWithCorners J N]
 
+#print Diffeomorph.uniqueMDiffOn_image_aux /-
 theorem uniqueMDiffOn_image_aux (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) {s : Set M}
     (hs : UniqueMDiffOn I s) : UniqueMDiffOn J (h '' s) :=
   by
   convert hs.unique_mdiff_on_preimage (h.to_local_homeomorph_mdifferentiable hn)
   simp [h.image_eq_preimage]
 #align diffeomorph.unique_mdiff_on_image_aux Diffeomorph.uniqueMDiffOn_image_aux
+-/
 
+#print Diffeomorph.uniqueMDiffOn_image /-
 @[simp]
 theorem uniqueMDiffOn_image (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) {s : Set M} :
     UniqueMDiffOn J (h '' s) ↔ UniqueMDiffOn I s :=
   ⟨fun hs => h.symm_image_image s ▸ h.symm.uniqueMDiffOn_image_aux hn hs,
     h.uniqueMDiffOn_image_aux hn⟩
 #align diffeomorph.unique_mdiff_on_image Diffeomorph.uniqueMDiffOn_image
+-/
 
+#print Diffeomorph.uniqueMDiffOn_preimage /-
 @[simp]
 theorem uniqueMDiffOn_preimage (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) {s : Set N} :
     UniqueMDiffOn I (h ⁻¹' s) ↔ UniqueMDiffOn J s :=
   h.symm_image_eq_preimage s ▸ h.symm.uniqueMDiffOn_image hn
 #align diffeomorph.unique_mdiff_on_preimage Diffeomorph.uniqueMDiffOn_preimage
+-/
 
+#print Diffeomorph.uniqueDiffOn_image /-
 @[simp]
 theorem uniqueDiffOn_image (h : E ≃ₘ^n[𝕜] F) (hn : 1 ≤ n) {s : Set E} :
     UniqueDiffOn 𝕜 (h '' s) ↔ UniqueDiffOn 𝕜 s := by
   simp only [← uniqueMDiffOn_iff_uniqueDiffOn, unique_mdiff_on_image, hn]
 #align diffeomorph.unique_diff_on_image Diffeomorph.uniqueDiffOn_image
+-/
 
+#print Diffeomorph.uniqueDiffOn_preimage /-
 @[simp]
 theorem uniqueDiffOn_preimage (h : E ≃ₘ^n[𝕜] F) (hn : 1 ≤ n) {s : Set F} :
     UniqueDiffOn 𝕜 (h ⁻¹' s) ↔ UniqueDiffOn 𝕜 s :=
   h.symm_image_eq_preimage s ▸ h.symm.uniqueDiffOn_image hn
 #align diffeomorph.unique_diff_on_preimage Diffeomorph.uniqueDiffOn_preimage
+-/
 
 end Diffeomorph
 
@@ -480,6 +604,7 @@ namespace ContinuousLinearEquiv
 
 variable (e : E ≃L[𝕜] E')
 
+#print ContinuousLinearEquiv.toDiffeomorph /-
 /-- A continuous linear equivalence between normed spaces is a diffeomorphism. -/
 def toDiffeomorph : E ≃ₘ[𝕜] E'
     where
@@ -487,21 +612,28 @@ def toDiffeomorph : E ≃ₘ[𝕜] E'
   contMDiff_inv_fun := e.symm.ContDiff.ContMDiff
   toEquiv := e.toLinearEquiv.toEquiv
 #align continuous_linear_equiv.to_diffeomorph ContinuousLinearEquiv.toDiffeomorph
+-/
 
+#print ContinuousLinearEquiv.coe_toDiffeomorph /-
 @[simp]
 theorem coe_toDiffeomorph : ⇑e.toDiffeomorph = e :=
   rfl
 #align continuous_linear_equiv.coe_to_diffeomorph ContinuousLinearEquiv.coe_toDiffeomorph
+-/
 
+#print ContinuousLinearEquiv.symm_toDiffeomorph /-
 @[simp]
 theorem symm_toDiffeomorph : e.symm.toDiffeomorph = e.toDiffeomorph.symm :=
   rfl
 #align continuous_linear_equiv.symm_to_diffeomorph ContinuousLinearEquiv.symm_toDiffeomorph
+-/
 
+#print ContinuousLinearEquiv.coe_toDiffeomorph_symm /-
 @[simp]
 theorem coe_toDiffeomorph_symm : ⇑e.toDiffeomorph.symm = e.symm :=
   rfl
 #align continuous_linear_equiv.coe_to_diffeomorph_symm ContinuousLinearEquiv.coe_toDiffeomorph_symm
+-/
 
 end ContinuousLinearEquiv
 
@@ -509,6 +641,7 @@ namespace ModelWithCorners
 
 variable (I) (e : E ≃ₘ[𝕜] E')
 
+#print ModelWithCorners.transDiffeomorph /-
 /-- Apply a diffeomorphism (e.g., a continuous linear equivalence) to the model vector space. -/
 def transDiffeomorph (I : ModelWithCorners 𝕜 E H) (e : E ≃ₘ[𝕜] E') : ModelWithCorners 𝕜 E' H
     where
@@ -518,35 +651,48 @@ def transDiffeomorph (I : ModelWithCorners 𝕜 E H) (e : E ≃ₘ[𝕜] E') : M
   continuous_toFun := e.Continuous.comp I.Continuous
   continuous_invFun := I.continuous_symm.comp e.symm.Continuous
 #align model_with_corners.trans_diffeomorph ModelWithCorners.transDiffeomorph
+-/
 
+#print ModelWithCorners.coe_transDiffeomorph /-
 @[simp, mfld_simps]
 theorem coe_transDiffeomorph : ⇑(I.transDiffeomorph e) = e ∘ I :=
   rfl
 #align model_with_corners.coe_trans_diffeomorph ModelWithCorners.coe_transDiffeomorph
+-/
 
+#print ModelWithCorners.coe_transDiffeomorph_symm /-
 @[simp, mfld_simps]
 theorem coe_transDiffeomorph_symm : ⇑(I.transDiffeomorph e).symm = I.symm ∘ e.symm :=
   rfl
 #align model_with_corners.coe_trans_diffeomorph_symm ModelWithCorners.coe_transDiffeomorph_symm
+-/
 
+#print ModelWithCorners.transDiffeomorph_range /-
 theorem transDiffeomorph_range : range (I.transDiffeomorph e) = e '' range I :=
   range_comp e I
 #align model_with_corners.trans_diffeomorph_range ModelWithCorners.transDiffeomorph_range
+-/
 
+#print ModelWithCorners.coe_extChartAt_transDiffeomorph /-
 theorem coe_extChartAt_transDiffeomorph (x : M) :
     ⇑(extChartAt (I.transDiffeomorph e) x) = e ∘ extChartAt I x :=
   rfl
 #align model_with_corners.coe_ext_chart_at_trans_diffeomorph ModelWithCorners.coe_extChartAt_transDiffeomorph
+-/
 
+#print ModelWithCorners.coe_extChartAt_transDiffeomorph_symm /-
 theorem coe_extChartAt_transDiffeomorph_symm (x : M) :
     ⇑(extChartAt (I.transDiffeomorph e) x).symm = (extChartAt I x).symm ∘ e.symm :=
   rfl
 #align model_with_corners.coe_ext_chart_at_trans_diffeomorph_symm ModelWithCorners.coe_extChartAt_transDiffeomorph_symm
+-/
 
+#print ModelWithCorners.extChartAt_transDiffeomorph_target /-
 theorem extChartAt_transDiffeomorph_target (x : M) :
     (extChartAt (I.transDiffeomorph e) x).target = e.symm ⁻¹' (extChartAt I x).target := by
   simp only [range_comp e, e.image_eq_preimage, preimage_preimage, mfld_simps]
 #align model_with_corners.ext_chart_at_trans_diffeomorph_target ModelWithCorners.extChartAt_transDiffeomorph_target
+-/
 
 end ModelWithCorners
 
@@ -554,6 +700,7 @@ namespace Diffeomorph
 
 variable (e : E ≃ₘ[𝕜] F)
 
+#print Diffeomorph.smoothManifoldWithCorners_transDiffeomorph /-
 instance smoothManifoldWithCorners_transDiffeomorph [SmoothManifoldWithCorners I M] :
     SmoothManifoldWithCorners (I.transDiffeomorph e) M :=
   by
@@ -563,9 +710,11 @@ instance smoothManifoldWithCorners_transDiffeomorph [SmoothManifoldWithCorners I
       (((contDiffGroupoid ⊤ I).compatible h₁ h₂).1.comp e.symm.cont_diff.cont_diff_on _)
   mfld_set_tac
 #align diffeomorph.smooth_manifold_with_corners_trans_diffeomorph Diffeomorph.smoothManifoldWithCorners_transDiffeomorph
+-/
 
 variable (I M)
 
+#print Diffeomorph.toTransDiffeomorph /-
 /-- The identity diffeomorphism between a manifold with model `I` and the same manifold
 with model `I.trans_diffeomorph e`. -/
 def toTransDiffeomorph (e : E ≃ₘ[𝕜] F) : M ≃ₘ⟮I, I.transDiffeomorph e⟯ M
@@ -591,68 +740,89 @@ def toTransDiffeomorph (e : E ≃ₘ[𝕜] F) : M ≃ₘ⟮I, I.transDiffeomorph
       ⟨(extChartAt _ x).map_source (mem_extChartAt_source _ x), trivial, by
         simp only [e.symm_apply_apply, Equiv.refl_symm, Equiv.coe_refl, mfld_simps]⟩
 #align diffeomorph.to_trans_diffeomorph Diffeomorph.toTransDiffeomorph
+-/
 
 variable {I M}
 
+#print Diffeomorph.contMDiffWithinAt_transDiffeomorph_right /-
 @[simp]
 theorem contMDiffWithinAt_transDiffeomorph_right {f : M' → M} {x s} :
     ContMDiffWithinAt I' (I.transDiffeomorph e) n f s x ↔ ContMDiffWithinAt I' I n f s x :=
   (toTransDiffeomorph I M e).contMDiffWithinAt_diffeomorph_comp_iff le_top
 #align diffeomorph.cont_mdiff_within_at_trans_diffeomorph_right Diffeomorph.contMDiffWithinAt_transDiffeomorph_right
+-/
 
+#print Diffeomorph.contMDiffAt_transDiffeomorph_right /-
 @[simp]
 theorem contMDiffAt_transDiffeomorph_right {f : M' → M} {x} :
     ContMDiffAt I' (I.transDiffeomorph e) n f x ↔ ContMDiffAt I' I n f x :=
   (toTransDiffeomorph I M e).contMDiffAt_diffeomorph_comp_iff le_top
 #align diffeomorph.cont_mdiff_at_trans_diffeomorph_right Diffeomorph.contMDiffAt_transDiffeomorph_right
+-/
 
+#print Diffeomorph.contMDiffOn_transDiffeomorph_right /-
 @[simp]
 theorem contMDiffOn_transDiffeomorph_right {f : M' → M} {s} :
     ContMDiffOn I' (I.transDiffeomorph e) n f s ↔ ContMDiffOn I' I n f s :=
   (toTransDiffeomorph I M e).contMDiffOn_diffeomorph_comp_iff le_top
 #align diffeomorph.cont_mdiff_on_trans_diffeomorph_right Diffeomorph.contMDiffOn_transDiffeomorph_right
+-/
 
+#print Diffeomorph.contMDiff_transDiffeomorph_right /-
 @[simp]
 theorem contMDiff_transDiffeomorph_right {f : M' → M} :
     ContMDiff I' (I.transDiffeomorph e) n f ↔ ContMDiff I' I n f :=
   (toTransDiffeomorph I M e).contMDiff_diffeomorph_comp_iff le_top
 #align diffeomorph.cont_mdiff_trans_diffeomorph_right Diffeomorph.contMDiff_transDiffeomorph_right
+-/
 
+#print Diffeomorph.smooth_transDiffeomorph_right /-
 @[simp]
 theorem smooth_transDiffeomorph_right {f : M' → M} :
     Smooth I' (I.transDiffeomorph e) f ↔ Smooth I' I f :=
   contMDiff_transDiffeomorph_right e
 #align diffeomorph.smooth_trans_diffeomorph_right Diffeomorph.smooth_transDiffeomorph_right
+-/
 
+#print Diffeomorph.contMDiffWithinAt_transDiffeomorph_left /-
 @[simp]
 theorem contMDiffWithinAt_transDiffeomorph_left {f : M → M'} {x s} :
     ContMDiffWithinAt (I.transDiffeomorph e) I' n f s x ↔ ContMDiffWithinAt I I' n f s x :=
   ((toTransDiffeomorph I M e).contMDiffWithinAt_comp_diffeomorph_iff le_top).symm
 #align diffeomorph.cont_mdiff_within_at_trans_diffeomorph_left Diffeomorph.contMDiffWithinAt_transDiffeomorph_left
+-/
 
+#print Diffeomorph.contMDiffAt_transDiffeomorph_left /-
 @[simp]
 theorem contMDiffAt_transDiffeomorph_left {f : M → M'} {x} :
     ContMDiffAt (I.transDiffeomorph e) I' n f x ↔ ContMDiffAt I I' n f x :=
   ((toTransDiffeomorph I M e).contMDiffAt_comp_diffeomorph_iff le_top).symm
 #align diffeomorph.cont_mdiff_at_trans_diffeomorph_left Diffeomorph.contMDiffAt_transDiffeomorph_left
+-/
 
+#print Diffeomorph.contMDiffOn_transDiffeomorph_left /-
 @[simp]
 theorem contMDiffOn_transDiffeomorph_left {f : M → M'} {s} :
     ContMDiffOn (I.transDiffeomorph e) I' n f s ↔ ContMDiffOn I I' n f s :=
   ((toTransDiffeomorph I M e).contMDiffOn_comp_diffeomorph_iff le_top).symm
 #align diffeomorph.cont_mdiff_on_trans_diffeomorph_left Diffeomorph.contMDiffOn_transDiffeomorph_left
+-/
 
+#print Diffeomorph.contMDiff_transDiffeomorph_left /-
 @[simp]
 theorem contMDiff_transDiffeomorph_left {f : M → M'} :
     ContMDiff (I.transDiffeomorph e) I' n f ↔ ContMDiff I I' n f :=
   ((toTransDiffeomorph I M e).contMDiff_comp_diffeomorph_iff le_top).symm
 #align diffeomorph.cont_mdiff_trans_diffeomorph_left Diffeomorph.contMDiff_transDiffeomorph_left
+-/
 
+#print Diffeomorph.smooth_transDiffeomorph_left /-
 @[simp]
 theorem smooth_transDiffeomorph_left {f : M → M'} :
     Smooth (I.transDiffeomorph e) I' f ↔ Smooth I I' f :=
   e.contMDiff_transDiffeomorph_left
 #align diffeomorph.smooth_trans_diffeomorph_left Diffeomorph.smooth_transDiffeomorph_left
+-/
 
 end Diffeomorph
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/fdc286cc6967a012f41b87f76dcd2797b53152af

@@ -124,14 +124,14 @@ protected theorem smooth (h : M ≃ₘ⟮I, I'⟯ M') : Smooth I I' h :=
   h.contMDiff_to_fun
 #align diffeomorph.smooth Diffeomorph.smooth
 
-protected theorem mdifferentiable (h : M ≃ₘ^n⟮I, I'⟯ M') (hn : 1 ≤ n) : Mdifferentiable I I' h :=
-  h.ContMDiff.Mdifferentiable hn
-#align diffeomorph.mdifferentiable Diffeomorph.mdifferentiable
+protected theorem mDifferentiable (h : M ≃ₘ^n⟮I, I'⟯ M') (hn : 1 ≤ n) : MDifferentiable I I' h :=
+  h.ContMDiff.MDifferentiable hn
+#align diffeomorph.mdifferentiable Diffeomorph.mDifferentiable
 
-protected theorem mdifferentiableOn (h : M ≃ₘ^n⟮I, I'⟯ M') (s : Set M) (hn : 1 ≤ n) :
-    MdifferentiableOn I I' h s :=
-  (h.Mdifferentiable hn).MdifferentiableOn
-#align diffeomorph.mdifferentiable_on Diffeomorph.mdifferentiableOn
+protected theorem mDifferentiableOn (h : M ≃ₘ^n⟮I, I'⟯ M') (s : Set M) (hn : 1 ≤ n) :
+    MDifferentiableOn I I' h s :=
+  (h.MDifferentiable hn).MDifferentiableOn
+#align diffeomorph.mdifferentiable_on Diffeomorph.mDifferentiableOn
 
 @[simp]
 theorem coe_toEquiv (h : M ≃ₘ^n⟮I, I'⟯ M') : ⇑h.toEquiv = h :=
@@ -373,10 +373,10 @@ theorem contMDiff_diffeomorph_comp_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : M'
   forall_congr' fun x => h.contMDiffWithinAt_diffeomorph_comp_iff hm
 #align diffeomorph.cont_mdiff_diffeomorph_comp_iff Diffeomorph.contMDiff_diffeomorph_comp_iff
 
-theorem toLocalHomeomorph_mdifferentiable (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) :
-    h.toHomeomorph.toLocalHomeomorph.Mdifferentiable I J :=
-  ⟨h.MdifferentiableOn _ hn, h.symm.MdifferentiableOn _ hn⟩
-#align diffeomorph.to_local_homeomorph_mdifferentiable Diffeomorph.toLocalHomeomorph_mdifferentiable
+theorem toLocalHomeomorph_mDifferentiable (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) :
+    h.toHomeomorph.toLocalHomeomorph.MDifferentiable I J :=
+  ⟨h.MDifferentiableOn _ hn, h.symm.MDifferentiableOn _ hn⟩
+#align diffeomorph.to_local_homeomorph_mdifferentiable Diffeomorph.toLocalHomeomorph_mDifferentiable
 
 section Constructions
 
@@ -442,30 +442,30 @@ end Constructions
 
 variable [SmoothManifoldWithCorners I M] [SmoothManifoldWithCorners J N]
 
-theorem uniqueMdiffOn_image_aux (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) {s : Set M}
-    (hs : UniqueMdiffOn I s) : UniqueMdiffOn J (h '' s) :=
+theorem uniqueMDiffOn_image_aux (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) {s : Set M}
+    (hs : UniqueMDiffOn I s) : UniqueMDiffOn J (h '' s) :=
   by
   convert hs.unique_mdiff_on_preimage (h.to_local_homeomorph_mdifferentiable hn)
   simp [h.image_eq_preimage]
-#align diffeomorph.unique_mdiff_on_image_aux Diffeomorph.uniqueMdiffOn_image_aux
+#align diffeomorph.unique_mdiff_on_image_aux Diffeomorph.uniqueMDiffOn_image_aux
 
 @[simp]
-theorem uniqueMdiffOn_image (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) {s : Set M} :
-    UniqueMdiffOn J (h '' s) ↔ UniqueMdiffOn I s :=
-  ⟨fun hs => h.symm_image_image s ▸ h.symm.uniqueMdiffOn_image_aux hn hs,
-    h.uniqueMdiffOn_image_aux hn⟩
-#align diffeomorph.unique_mdiff_on_image Diffeomorph.uniqueMdiffOn_image
+theorem uniqueMDiffOn_image (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) {s : Set M} :
+    UniqueMDiffOn J (h '' s) ↔ UniqueMDiffOn I s :=
+  ⟨fun hs => h.symm_image_image s ▸ h.symm.uniqueMDiffOn_image_aux hn hs,
+    h.uniqueMDiffOn_image_aux hn⟩
+#align diffeomorph.unique_mdiff_on_image Diffeomorph.uniqueMDiffOn_image
 
 @[simp]
-theorem uniqueMdiffOn_preimage (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) {s : Set N} :
-    UniqueMdiffOn I (h ⁻¹' s) ↔ UniqueMdiffOn J s :=
-  h.symm_image_eq_preimage s ▸ h.symm.uniqueMdiffOn_image hn
-#align diffeomorph.unique_mdiff_on_preimage Diffeomorph.uniqueMdiffOn_preimage
+theorem uniqueMDiffOn_preimage (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) {s : Set N} :
+    UniqueMDiffOn I (h ⁻¹' s) ↔ UniqueMDiffOn J s :=
+  h.symm_image_eq_preimage s ▸ h.symm.uniqueMDiffOn_image hn
+#align diffeomorph.unique_mdiff_on_preimage Diffeomorph.uniqueMDiffOn_preimage
 
 @[simp]
 theorem uniqueDiffOn_image (h : E ≃ₘ^n[𝕜] F) (hn : 1 ≤ n) {s : Set E} :
     UniqueDiffOn 𝕜 (h '' s) ↔ UniqueDiffOn 𝕜 s := by
-  simp only [← uniqueMdiffOn_iff_uniqueDiffOn, unique_mdiff_on_image, hn]
+  simp only [← uniqueMDiffOn_iff_uniqueDiffOn, unique_mdiff_on_image, hn]
 #align diffeomorph.unique_diff_on_image Diffeomorph.uniqueDiffOn_image
 
 @[simp]

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

@@ -73,8 +73,8 @@ variable (I I' M M' n)
 -/
 @[protect_proj, nolint has_nonempty_instance]
 structure Diffeomorph extends M ≃ M' where
-  contMdiff_to_fun : ContMdiff I I' n to_equiv
-  contMdiff_inv_fun : ContMdiff I' I n to_equiv.symm
+  contMDiff_to_fun : ContMDiff I I' n to_equiv
+  contMDiff_inv_fun : ContMDiff I' I n to_equiv.symm
 #align diffeomorph Diffeomorph
 
 end Defs
@@ -97,35 +97,35 @@ instance : CoeFun (M ≃ₘ^n⟮I, I'⟯ M') fun _ => M → M' :=
   ⟨fun e => e.toEquiv⟩
 
 instance : Coe (M ≃ₘ^n⟮I, I'⟯ M') C^n⟮I, M; I', M'⟯ :=
-  ⟨fun Φ => ⟨Φ, Φ.contMdiff_to_fun⟩⟩
+  ⟨fun Φ => ⟨Φ, Φ.contMDiff_to_fun⟩⟩
 
 @[continuity]
 protected theorem continuous (h : M ≃ₘ^n⟮I, I'⟯ M') : Continuous h :=
-  h.contMdiff_to_fun.Continuous
+  h.contMDiff_to_fun.Continuous
 #align diffeomorph.continuous Diffeomorph.continuous
 
-protected theorem contMdiff (h : M ≃ₘ^n⟮I, I'⟯ M') : ContMdiff I I' n h :=
-  h.contMdiff_to_fun
-#align diffeomorph.cont_mdiff Diffeomorph.contMdiff
+protected theorem contMDiff (h : M ≃ₘ^n⟮I, I'⟯ M') : ContMDiff I I' n h :=
+  h.contMDiff_to_fun
+#align diffeomorph.cont_mdiff Diffeomorph.contMDiff
 
-protected theorem contMdiffAt (h : M ≃ₘ^n⟮I, I'⟯ M') {x} : ContMdiffAt I I' n h x :=
-  h.ContMdiff.ContMdiffAt
-#align diffeomorph.cont_mdiff_at Diffeomorph.contMdiffAt
+protected theorem contMDiffAt (h : M ≃ₘ^n⟮I, I'⟯ M') {x} : ContMDiffAt I I' n h x :=
+  h.ContMDiff.ContMDiffAt
+#align diffeomorph.cont_mdiff_at Diffeomorph.contMDiffAt
 
-protected theorem contMdiffWithinAt (h : M ≃ₘ^n⟮I, I'⟯ M') {s x} : ContMdiffWithinAt I I' n h s x :=
-  h.ContMdiffAt.ContMdiffWithinAt
-#align diffeomorph.cont_mdiff_within_at Diffeomorph.contMdiffWithinAt
+protected theorem contMDiffWithinAt (h : M ≃ₘ^n⟮I, I'⟯ M') {s x} : ContMDiffWithinAt I I' n h s x :=
+  h.ContMDiffAt.ContMDiffWithinAt
+#align diffeomorph.cont_mdiff_within_at Diffeomorph.contMDiffWithinAt
 
 protected theorem contDiff (h : E ≃ₘ^n[𝕜] E') : ContDiff 𝕜 n h :=
-  h.ContMdiff.ContDiff
+  h.ContMDiff.ContDiff
 #align diffeomorph.cont_diff Diffeomorph.contDiff
 
 protected theorem smooth (h : M ≃ₘ⟮I, I'⟯ M') : Smooth I I' h :=
-  h.contMdiff_to_fun
+  h.contMDiff_to_fun
 #align diffeomorph.smooth Diffeomorph.smooth
 
 protected theorem mdifferentiable (h : M ≃ₘ^n⟮I, I'⟯ M') (hn : 1 ≤ n) : Mdifferentiable I I' h :=
-  h.ContMdiff.Mdifferentiable hn
+  h.ContMDiff.Mdifferentiable hn
 #align diffeomorph.mdifferentiable Diffeomorph.mdifferentiable
 
 protected theorem mdifferentiableOn (h : M ≃ₘ^n⟮I, I'⟯ M') (s : Set M) (hn : 1 ≤ n) :
@@ -175,8 +175,8 @@ variable (M I n)
 /-- Identity map as a diffeomorphism. -/
 protected def refl : M ≃ₘ^n⟮I, I⟯ M
     where
-  contMdiff_to_fun := contMdiff_id
-  contMdiff_inv_fun := contMdiff_id
+  contMDiff_to_fun := contMDiff_id
+  contMDiff_inv_fun := contMDiff_id
   toEquiv := Equiv.refl M
 #align diffeomorph.refl Diffeomorph.refl
 
@@ -195,8 +195,8 @@ end
 /-- Composition of two diffeomorphisms. -/
 protected def trans (h₁ : M ≃ₘ^n⟮I, I'⟯ M') (h₂ : M' ≃ₘ^n⟮I', J⟯ N) : M ≃ₘ^n⟮I, J⟯ N
     where
-  contMdiff_to_fun := h₂.contMdiff_to_fun.comp h₁.contMdiff_to_fun
-  contMdiff_inv_fun := h₁.contMdiff_inv_fun.comp h₂.contMdiff_inv_fun
+  contMDiff_to_fun := h₂.contMDiff_to_fun.comp h₁.contMDiff_to_fun
+  contMDiff_inv_fun := h₁.contMDiff_inv_fun.comp h₂.contMDiff_inv_fun
   toEquiv := h₁.toEquiv.trans h₂.toEquiv
 #align diffeomorph.trans Diffeomorph.trans
 
@@ -218,8 +218,8 @@ theorem coe_trans (h₁ : M ≃ₘ^n⟮I, I'⟯ M') (h₂ : M' ≃ₘ^n⟮I', J
 /-- Inverse of a diffeomorphism. -/
 protected def symm (h : M ≃ₘ^n⟮I, J⟯ N) : N ≃ₘ^n⟮J, I⟯ M
     where
-  contMdiff_to_fun := h.contMdiff_inv_fun
-  contMdiff_inv_fun := h.contMdiff_to_fun
+  contMDiff_to_fun := h.contMDiff_inv_fun
+  contMDiff_inv_fun := h.contMDiff_to_fun
   toEquiv := h.toEquiv.symm
 #align diffeomorph.symm Diffeomorph.symm
 
@@ -313,9 +313,9 @@ theorem coe_toHomeomorph_symm (h : M ≃ₘ^n⟮I, J⟯ N) : ⇑h.toHomeomorph.s
 #align diffeomorph.coe_to_homeomorph_symm Diffeomorph.coe_toHomeomorph_symm
 
 @[simp]
-theorem contMdiffWithinAt_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : N → M'} {s x}
+theorem contMDiffWithinAt_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : N → M'} {s x}
     (hm : m ≤ n) :
-    ContMdiffWithinAt I I' m (f ∘ h) s x ↔ ContMdiffWithinAt J I' m f (h.symm ⁻¹' s) (h x) :=
+    ContMDiffWithinAt I I' m (f ∘ h) s x ↔ ContMDiffWithinAt J I' m f (h.symm ⁻¹' s) (h x) :=
   by
   constructor
   · intro Hfh
@@ -324,54 +324,54 @@ theorem contMdiffWithinAt_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N)
       Hfh.comp (h x) (h.symm.cont_mdiff_within_at.of_le hm) (maps_to_preimage _ _)
   · rw [← h.image_eq_preimage]
     exact fun hf => hf.comp x (h.cont_mdiff_within_at.of_le hm) (maps_to_image _ _)
-#align diffeomorph.cont_mdiff_within_at_comp_diffeomorph_iff Diffeomorph.contMdiffWithinAt_comp_diffeomorph_iff
+#align diffeomorph.cont_mdiff_within_at_comp_diffeomorph_iff Diffeomorph.contMDiffWithinAt_comp_diffeomorph_iff
 
 @[simp]
-theorem contMdiffOn_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : N → M'} {s} (hm : m ≤ n) :
-    ContMdiffOn I I' m (f ∘ h) s ↔ ContMdiffOn J I' m f (h.symm ⁻¹' s) :=
+theorem contMDiffOn_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : N → M'} {s} (hm : m ≤ n) :
+    ContMDiffOn I I' m (f ∘ h) s ↔ ContMDiffOn J I' m f (h.symm ⁻¹' s) :=
   h.toEquiv.forall_congr' fun x => by
     simp only [hm, coe_to_equiv, symm_apply_apply, cont_mdiff_within_at_comp_diffeomorph_iff,
       mem_preimage]
-#align diffeomorph.cont_mdiff_on_comp_diffeomorph_iff Diffeomorph.contMdiffOn_comp_diffeomorph_iff
+#align diffeomorph.cont_mdiff_on_comp_diffeomorph_iff Diffeomorph.contMDiffOn_comp_diffeomorph_iff
 
 @[simp]
-theorem contMdiffAt_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : N → M'} {x} (hm : m ≤ n) :
-    ContMdiffAt I I' m (f ∘ h) x ↔ ContMdiffAt J I' m f (h x) :=
-  h.contMdiffWithinAt_comp_diffeomorph_iff hm
-#align diffeomorph.cont_mdiff_at_comp_diffeomorph_iff Diffeomorph.contMdiffAt_comp_diffeomorph_iff
+theorem contMDiffAt_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : N → M'} {x} (hm : m ≤ n) :
+    ContMDiffAt I I' m (f ∘ h) x ↔ ContMDiffAt J I' m f (h x) :=
+  h.contMDiffWithinAt_comp_diffeomorph_iff hm
+#align diffeomorph.cont_mdiff_at_comp_diffeomorph_iff Diffeomorph.contMDiffAt_comp_diffeomorph_iff
 
 @[simp]
-theorem contMdiff_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : N → M'} (hm : m ≤ n) :
-    ContMdiff I I' m (f ∘ h) ↔ ContMdiff J I' m f :=
-  h.toEquiv.forall_congr' fun x => h.contMdiffAt_comp_diffeomorph_iff hm
-#align diffeomorph.cont_mdiff_comp_diffeomorph_iff Diffeomorph.contMdiff_comp_diffeomorph_iff
+theorem contMDiff_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : N → M'} (hm : m ≤ n) :
+    ContMDiff I I' m (f ∘ h) ↔ ContMDiff J I' m f :=
+  h.toEquiv.forall_congr' fun x => h.contMDiffAt_comp_diffeomorph_iff hm
+#align diffeomorph.cont_mdiff_comp_diffeomorph_iff Diffeomorph.contMDiff_comp_diffeomorph_iff
 
 @[simp]
-theorem contMdiffWithinAt_diffeomorph_comp_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : M' → M} (hm : m ≤ n)
-    {s x} : ContMdiffWithinAt I' J m (h ∘ f) s x ↔ ContMdiffWithinAt I' I m f s x :=
+theorem contMDiffWithinAt_diffeomorph_comp_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : M' → M} (hm : m ≤ n)
+    {s x} : ContMDiffWithinAt I' J m (h ∘ f) s x ↔ ContMDiffWithinAt I' I m f s x :=
   ⟨fun Hhf => by
     simpa only [(· ∘ ·), h.symm_apply_apply] using
-      (h.symm.cont_mdiff_at.of_le hm).comp_contMdiffWithinAt _ Hhf,
-    fun Hf => (h.ContMdiffAt.of_le hm).comp_contMdiffWithinAt _ Hf⟩
-#align diffeomorph.cont_mdiff_within_at_diffeomorph_comp_iff Diffeomorph.contMdiffWithinAt_diffeomorph_comp_iff
+      (h.symm.cont_mdiff_at.of_le hm).comp_contMDiffWithinAt _ Hhf,
+    fun Hf => (h.ContMDiffAt.of_le hm).comp_contMDiffWithinAt _ Hf⟩
+#align diffeomorph.cont_mdiff_within_at_diffeomorph_comp_iff Diffeomorph.contMDiffWithinAt_diffeomorph_comp_iff
 
 @[simp]
-theorem contMdiffAt_diffeomorph_comp_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : M' → M} (hm : m ≤ n) {x} :
-    ContMdiffAt I' J m (h ∘ f) x ↔ ContMdiffAt I' I m f x :=
-  h.contMdiffWithinAt_diffeomorph_comp_iff hm
-#align diffeomorph.cont_mdiff_at_diffeomorph_comp_iff Diffeomorph.contMdiffAt_diffeomorph_comp_iff
+theorem contMDiffAt_diffeomorph_comp_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : M' → M} (hm : m ≤ n) {x} :
+    ContMDiffAt I' J m (h ∘ f) x ↔ ContMDiffAt I' I m f x :=
+  h.contMDiffWithinAt_diffeomorph_comp_iff hm
+#align diffeomorph.cont_mdiff_at_diffeomorph_comp_iff Diffeomorph.contMDiffAt_diffeomorph_comp_iff
 
 @[simp]
-theorem contMdiffOn_diffeomorph_comp_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : M' → M} (hm : m ≤ n) {s} :
-    ContMdiffOn I' J m (h ∘ f) s ↔ ContMdiffOn I' I m f s :=
-  forall₂_congr fun x hx => h.contMdiffWithinAt_diffeomorph_comp_iff hm
-#align diffeomorph.cont_mdiff_on_diffeomorph_comp_iff Diffeomorph.contMdiffOn_diffeomorph_comp_iff
+theorem contMDiffOn_diffeomorph_comp_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : M' → M} (hm : m ≤ n) {s} :
+    ContMDiffOn I' J m (h ∘ f) s ↔ ContMDiffOn I' I m f s :=
+  forall₂_congr fun x hx => h.contMDiffWithinAt_diffeomorph_comp_iff hm
+#align diffeomorph.cont_mdiff_on_diffeomorph_comp_iff Diffeomorph.contMDiffOn_diffeomorph_comp_iff
 
 @[simp]
-theorem contMdiff_diffeomorph_comp_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : M' → M} (hm : m ≤ n) :
-    ContMdiff I' J m (h ∘ f) ↔ ContMdiff I' I m f :=
-  forall_congr' fun x => h.contMdiffWithinAt_diffeomorph_comp_iff hm
-#align diffeomorph.cont_mdiff_diffeomorph_comp_iff Diffeomorph.contMdiff_diffeomorph_comp_iff
+theorem contMDiff_diffeomorph_comp_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : M' → M} (hm : m ≤ n) :
+    ContMDiff I' J m (h ∘ f) ↔ ContMDiff I' I m f :=
+  forall_congr' fun x => h.contMDiffWithinAt_diffeomorph_comp_iff hm
+#align diffeomorph.cont_mdiff_diffeomorph_comp_iff Diffeomorph.contMDiff_diffeomorph_comp_iff
 
 theorem toLocalHomeomorph_mdifferentiable (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) :
     h.toHomeomorph.toLocalHomeomorph.Mdifferentiable I J :=
@@ -384,9 +384,9 @@ section Constructions
 def prodCongr (h₁ : M ≃ₘ^n⟮I, I'⟯ M') (h₂ : N ≃ₘ^n⟮J, J'⟯ N') :
     (M × N) ≃ₘ^n⟮I.Prod J, I'.Prod J'⟯ M' × N'
     where
-  contMdiff_to_fun := (h₁.ContMdiff.comp contMdiff_fst).prod_mk (h₂.ContMdiff.comp contMdiff_snd)
-  contMdiff_inv_fun :=
-    (h₁.symm.ContMdiff.comp contMdiff_fst).prod_mk (h₂.symm.ContMdiff.comp contMdiff_snd)
+  contMDiff_to_fun := (h₁.ContMDiff.comp contMDiff_fst).prod_mk (h₂.ContMDiff.comp contMDiff_snd)
+  contMDiff_inv_fun :=
+    (h₁.symm.ContMDiff.comp contMDiff_fst).prod_mk (h₂.symm.ContMDiff.comp contMDiff_snd)
   toEquiv := h₁.toEquiv.prodCongr h₂.toEquiv
 #align diffeomorph.prod_congr Diffeomorph.prodCongr
 
@@ -409,8 +409,8 @@ variable (I J J' M N N' n)
 /-- `M × N` is diffeomorphic to `N × M`. -/
 def prodComm : (M × N) ≃ₘ^n⟮I.Prod J, J.Prod I⟯ N × M
     where
-  contMdiff_to_fun := contMdiff_snd.prod_mk contMdiff_fst
-  contMdiff_inv_fun := contMdiff_snd.prod_mk contMdiff_fst
+  contMDiff_to_fun := contMDiff_snd.prod_mk contMDiff_fst
+  contMDiff_inv_fun := contMDiff_snd.prod_mk contMDiff_fst
   toEquiv := Equiv.prodComm M N
 #align diffeomorph.prod_comm Diffeomorph.prodComm
 
@@ -427,12 +427,12 @@ theorem coe_prodComm : ⇑(prodComm I J M N n) = Prod.swap :=
 /-- `(M × N) × N'` is diffeomorphic to `M × (N × N')`. -/
 def prodAssoc : ((M × N) × N') ≃ₘ^n⟮(I.Prod J).Prod J', I.Prod (J.Prod J')⟯ M × N × N'
     where
-  contMdiff_to_fun :=
-    (contMdiff_fst.comp contMdiff_fst).prod_mk
-      ((contMdiff_snd.comp contMdiff_fst).prod_mk contMdiff_snd)
-  contMdiff_inv_fun :=
-    (contMdiff_fst.prod_mk (contMdiff_fst.comp contMdiff_snd)).prod_mk
-      (contMdiff_snd.comp contMdiff_snd)
+  contMDiff_to_fun :=
+    (contMDiff_fst.comp contMDiff_fst).prod_mk
+      ((contMDiff_snd.comp contMDiff_fst).prod_mk contMDiff_snd)
+  contMDiff_inv_fun :=
+    (contMDiff_fst.prod_mk (contMDiff_fst.comp contMDiff_snd)).prod_mk
+      (contMDiff_snd.comp contMDiff_snd)
   toEquiv := Equiv.prodAssoc M N N'
 #align diffeomorph.prod_assoc Diffeomorph.prodAssoc
 
@@ -483,8 +483,8 @@ variable (e : E ≃L[𝕜] E')
 /-- A continuous linear equivalence between normed spaces is a diffeomorphism. -/
 def toDiffeomorph : E ≃ₘ[𝕜] E'
     where
-  contMdiff_to_fun := e.ContDiff.ContMdiff
-  contMdiff_inv_fun := e.symm.ContDiff.ContMdiff
+  contMDiff_to_fun := e.ContDiff.ContMDiff
+  contMDiff_inv_fun := e.symm.ContDiff.ContMDiff
   toEquiv := e.toLinearEquiv.toEquiv
 #align continuous_linear_equiv.to_diffeomorph ContinuousLinearEquiv.toDiffeomorph
 
@@ -571,18 +571,18 @@ with model `I.trans_diffeomorph e`. -/
 def toTransDiffeomorph (e : E ≃ₘ[𝕜] F) : M ≃ₘ⟮I, I.transDiffeomorph e⟯ M
     where
   toEquiv := Equiv.refl M
-  contMdiff_to_fun x :=
+  contMDiff_to_fun x :=
     by
-    refine' contMdiffWithinAt_iff'.2 ⟨continuousWithinAt_id, _⟩
+    refine' contMDiffWithinAt_iff'.2 ⟨continuousWithinAt_id, _⟩
     refine' e.cont_diff.cont_diff_within_at.congr' (fun y hy => _) _
     ·
       simp only [Equiv.coe_refl, id, (· ∘ ·), I.coe_ext_chart_at_trans_diffeomorph,
         (extChartAt I x).right_inv hy.1]
     exact
       ⟨(extChartAt I x).map_source (mem_extChartAt_source I x), trivial, by simp only [mfld_simps]⟩
-  contMdiff_inv_fun x :=
+  contMDiff_inv_fun x :=
     by
-    refine' contMdiffWithinAt_iff'.2 ⟨continuousWithinAt_id, _⟩
+    refine' contMDiffWithinAt_iff'.2 ⟨continuousWithinAt_id, _⟩
     refine' e.symm.cont_diff.cont_diff_within_at.congr' (fun y hy => _) _
     · simp only [mem_inter_iff, I.ext_chart_at_trans_diffeomorph_target] at hy 
       simp only [Equiv.coe_refl, Equiv.refl_symm, id, (· ∘ ·),
@@ -595,63 +595,63 @@ def toTransDiffeomorph (e : E ≃ₘ[𝕜] F) : M ≃ₘ⟮I, I.transDiffeomorph
 variable {I M}
 
 @[simp]
-theorem contMdiffWithinAt_transDiffeomorph_right {f : M' → M} {x s} :
-    ContMdiffWithinAt I' (I.transDiffeomorph e) n f s x ↔ ContMdiffWithinAt I' I n f s x :=
-  (toTransDiffeomorph I M e).contMdiffWithinAt_diffeomorph_comp_iff le_top
-#align diffeomorph.cont_mdiff_within_at_trans_diffeomorph_right Diffeomorph.contMdiffWithinAt_transDiffeomorph_right
+theorem contMDiffWithinAt_transDiffeomorph_right {f : M' → M} {x s} :
+    ContMDiffWithinAt I' (I.transDiffeomorph e) n f s x ↔ ContMDiffWithinAt I' I n f s x :=
+  (toTransDiffeomorph I M e).contMDiffWithinAt_diffeomorph_comp_iff le_top
+#align diffeomorph.cont_mdiff_within_at_trans_diffeomorph_right Diffeomorph.contMDiffWithinAt_transDiffeomorph_right
 
 @[simp]
-theorem contMdiffAt_transDiffeomorph_right {f : M' → M} {x} :
-    ContMdiffAt I' (I.transDiffeomorph e) n f x ↔ ContMdiffAt I' I n f x :=
-  (toTransDiffeomorph I M e).contMdiffAt_diffeomorph_comp_iff le_top
-#align diffeomorph.cont_mdiff_at_trans_diffeomorph_right Diffeomorph.contMdiffAt_transDiffeomorph_right
+theorem contMDiffAt_transDiffeomorph_right {f : M' → M} {x} :
+    ContMDiffAt I' (I.transDiffeomorph e) n f x ↔ ContMDiffAt I' I n f x :=
+  (toTransDiffeomorph I M e).contMDiffAt_diffeomorph_comp_iff le_top
+#align diffeomorph.cont_mdiff_at_trans_diffeomorph_right Diffeomorph.contMDiffAt_transDiffeomorph_right
 
 @[simp]
-theorem contMdiffOn_transDiffeomorph_right {f : M' → M} {s} :
-    ContMdiffOn I' (I.transDiffeomorph e) n f s ↔ ContMdiffOn I' I n f s :=
-  (toTransDiffeomorph I M e).contMdiffOn_diffeomorph_comp_iff le_top
-#align diffeomorph.cont_mdiff_on_trans_diffeomorph_right Diffeomorph.contMdiffOn_transDiffeomorph_right
+theorem contMDiffOn_transDiffeomorph_right {f : M' → M} {s} :
+    ContMDiffOn I' (I.transDiffeomorph e) n f s ↔ ContMDiffOn I' I n f s :=
+  (toTransDiffeomorph I M e).contMDiffOn_diffeomorph_comp_iff le_top
+#align diffeomorph.cont_mdiff_on_trans_diffeomorph_right Diffeomorph.contMDiffOn_transDiffeomorph_right
 
 @[simp]
-theorem contMdiff_transDiffeomorph_right {f : M' → M} :
-    ContMdiff I' (I.transDiffeomorph e) n f ↔ ContMdiff I' I n f :=
-  (toTransDiffeomorph I M e).contMdiff_diffeomorph_comp_iff le_top
-#align diffeomorph.cont_mdiff_trans_diffeomorph_right Diffeomorph.contMdiff_transDiffeomorph_right
+theorem contMDiff_transDiffeomorph_right {f : M' → M} :
+    ContMDiff I' (I.transDiffeomorph e) n f ↔ ContMDiff I' I n f :=
+  (toTransDiffeomorph I M e).contMDiff_diffeomorph_comp_iff le_top
+#align diffeomorph.cont_mdiff_trans_diffeomorph_right Diffeomorph.contMDiff_transDiffeomorph_right
 
 @[simp]
 theorem smooth_transDiffeomorph_right {f : M' → M} :
     Smooth I' (I.transDiffeomorph e) f ↔ Smooth I' I f :=
-  contMdiff_transDiffeomorph_right e
+  contMDiff_transDiffeomorph_right e
 #align diffeomorph.smooth_trans_diffeomorph_right Diffeomorph.smooth_transDiffeomorph_right
 
 @[simp]
-theorem contMdiffWithinAt_transDiffeomorph_left {f : M → M'} {x s} :
-    ContMdiffWithinAt (I.transDiffeomorph e) I' n f s x ↔ ContMdiffWithinAt I I' n f s x :=
-  ((toTransDiffeomorph I M e).contMdiffWithinAt_comp_diffeomorph_iff le_top).symm
-#align diffeomorph.cont_mdiff_within_at_trans_diffeomorph_left Diffeomorph.contMdiffWithinAt_transDiffeomorph_left
+theorem contMDiffWithinAt_transDiffeomorph_left {f : M → M'} {x s} :
+    ContMDiffWithinAt (I.transDiffeomorph e) I' n f s x ↔ ContMDiffWithinAt I I' n f s x :=
+  ((toTransDiffeomorph I M e).contMDiffWithinAt_comp_diffeomorph_iff le_top).symm
+#align diffeomorph.cont_mdiff_within_at_trans_diffeomorph_left Diffeomorph.contMDiffWithinAt_transDiffeomorph_left
 
 @[simp]
-theorem contMdiffAt_transDiffeomorph_left {f : M → M'} {x} :
-    ContMdiffAt (I.transDiffeomorph e) I' n f x ↔ ContMdiffAt I I' n f x :=
-  ((toTransDiffeomorph I M e).contMdiffAt_comp_diffeomorph_iff le_top).symm
-#align diffeomorph.cont_mdiff_at_trans_diffeomorph_left Diffeomorph.contMdiffAt_transDiffeomorph_left
+theorem contMDiffAt_transDiffeomorph_left {f : M → M'} {x} :
+    ContMDiffAt (I.transDiffeomorph e) I' n f x ↔ ContMDiffAt I I' n f x :=
+  ((toTransDiffeomorph I M e).contMDiffAt_comp_diffeomorph_iff le_top).symm
+#align diffeomorph.cont_mdiff_at_trans_diffeomorph_left Diffeomorph.contMDiffAt_transDiffeomorph_left
 
 @[simp]
-theorem contMdiffOn_transDiffeomorph_left {f : M → M'} {s} :
-    ContMdiffOn (I.transDiffeomorph e) I' n f s ↔ ContMdiffOn I I' n f s :=
-  ((toTransDiffeomorph I M e).contMdiffOn_comp_diffeomorph_iff le_top).symm
-#align diffeomorph.cont_mdiff_on_trans_diffeomorph_left Diffeomorph.contMdiffOn_transDiffeomorph_left
+theorem contMDiffOn_transDiffeomorph_left {f : M → M'} {s} :
+    ContMDiffOn (I.transDiffeomorph e) I' n f s ↔ ContMDiffOn I I' n f s :=
+  ((toTransDiffeomorph I M e).contMDiffOn_comp_diffeomorph_iff le_top).symm
+#align diffeomorph.cont_mdiff_on_trans_diffeomorph_left Diffeomorph.contMDiffOn_transDiffeomorph_left
 
 @[simp]
-theorem contMdiff_transDiffeomorph_left {f : M → M'} :
-    ContMdiff (I.transDiffeomorph e) I' n f ↔ ContMdiff I I' n f :=
-  ((toTransDiffeomorph I M e).contMdiff_comp_diffeomorph_iff le_top).symm
-#align diffeomorph.cont_mdiff_trans_diffeomorph_left Diffeomorph.contMdiff_transDiffeomorph_left
+theorem contMDiff_transDiffeomorph_left {f : M → M'} :
+    ContMDiff (I.transDiffeomorph e) I' n f ↔ ContMDiff I I' n f :=
+  ((toTransDiffeomorph I M e).contMDiff_comp_diffeomorph_iff le_top).symm
+#align diffeomorph.cont_mdiff_trans_diffeomorph_left Diffeomorph.contMDiff_transDiffeomorph_left
 
 @[simp]
 theorem smooth_transDiffeomorph_left {f : M → M'} :
     Smooth (I.transDiffeomorph e) I' f ↔ Smooth I I' f :=
-  e.contMdiff_transDiffeomorph_left
+  e.contMDiff_transDiffeomorph_left
 #align diffeomorph.smooth_trans_diffeomorph_left Diffeomorph.smooth_transDiffeomorph_left
 
 end Diffeomorph

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

@@ -73,7 +73,7 @@ variable (I I' M M' n)
 -/
 @[protect_proj, nolint has_nonempty_instance]
 structure Diffeomorph extends M ≃ M' where
-  contMdiff_toFun : ContMdiff I I' n to_equiv
+  contMdiff_to_fun : ContMdiff I I' n to_equiv
   contMdiff_inv_fun : ContMdiff I' I n to_equiv.symm
 #align diffeomorph Diffeomorph
 
@@ -97,15 +97,15 @@ instance : CoeFun (M ≃ₘ^n⟮I, I'⟯ M') fun _ => M → M' :=
   ⟨fun e => e.toEquiv⟩
 
 instance : Coe (M ≃ₘ^n⟮I, I'⟯ M') C^n⟮I, M; I', M'⟯ :=
-  ⟨fun Φ => ⟨Φ, Φ.contMdiff_toFun⟩⟩
+  ⟨fun Φ => ⟨Φ, Φ.contMdiff_to_fun⟩⟩
 
 @[continuity]
 protected theorem continuous (h : M ≃ₘ^n⟮I, I'⟯ M') : Continuous h :=
-  h.contMdiff_toFun.Continuous
+  h.contMdiff_to_fun.Continuous
 #align diffeomorph.continuous Diffeomorph.continuous
 
 protected theorem contMdiff (h : M ≃ₘ^n⟮I, I'⟯ M') : ContMdiff I I' n h :=
-  h.contMdiff_toFun
+  h.contMdiff_to_fun
 #align diffeomorph.cont_mdiff Diffeomorph.contMdiff
 
 protected theorem contMdiffAt (h : M ≃ₘ^n⟮I, I'⟯ M') {x} : ContMdiffAt I I' n h x :=
@@ -121,7 +121,7 @@ protected theorem contDiff (h : E ≃ₘ^n[𝕜] E') : ContDiff 𝕜 n h :=
 #align diffeomorph.cont_diff Diffeomorph.contDiff
 
 protected theorem smooth (h : M ≃ₘ⟮I, I'⟯ M') : Smooth I I' h :=
-  h.contMdiff_toFun
+  h.contMdiff_to_fun
 #align diffeomorph.smooth Diffeomorph.smooth
 
 protected theorem mdifferentiable (h : M ≃ₘ^n⟮I, I'⟯ M') (hn : 1 ≤ n) : Mdifferentiable I I' h :=
@@ -175,7 +175,7 @@ variable (M I n)
 /-- Identity map as a diffeomorphism. -/
 protected def refl : M ≃ₘ^n⟮I, I⟯ M
     where
-  contMdiff_toFun := contMdiff_id
+  contMdiff_to_fun := contMdiff_id
   contMdiff_inv_fun := contMdiff_id
   toEquiv := Equiv.refl M
 #align diffeomorph.refl Diffeomorph.refl
@@ -195,7 +195,7 @@ end
 /-- Composition of two diffeomorphisms. -/
 protected def trans (h₁ : M ≃ₘ^n⟮I, I'⟯ M') (h₂ : M' ≃ₘ^n⟮I', J⟯ N) : M ≃ₘ^n⟮I, J⟯ N
     where
-  contMdiff_toFun := h₂.contMdiff_toFun.comp h₁.contMdiff_toFun
+  contMdiff_to_fun := h₂.contMdiff_to_fun.comp h₁.contMdiff_to_fun
   contMdiff_inv_fun := h₁.contMdiff_inv_fun.comp h₂.contMdiff_inv_fun
   toEquiv := h₁.toEquiv.trans h₂.toEquiv
 #align diffeomorph.trans Diffeomorph.trans
@@ -218,8 +218,8 @@ theorem coe_trans (h₁ : M ≃ₘ^n⟮I, I'⟯ M') (h₂ : M' ≃ₘ^n⟮I', J
 /-- Inverse of a diffeomorphism. -/
 protected def symm (h : M ≃ₘ^n⟮I, J⟯ N) : N ≃ₘ^n⟮J, I⟯ M
     where
-  contMdiff_toFun := h.contMdiff_inv_fun
-  contMdiff_inv_fun := h.contMdiff_toFun
+  contMdiff_to_fun := h.contMdiff_inv_fun
+  contMdiff_inv_fun := h.contMdiff_to_fun
   toEquiv := h.toEquiv.symm
 #align diffeomorph.symm Diffeomorph.symm
 
@@ -384,7 +384,7 @@ section Constructions
 def prodCongr (h₁ : M ≃ₘ^n⟮I, I'⟯ M') (h₂ : N ≃ₘ^n⟮J, J'⟯ N') :
     (M × N) ≃ₘ^n⟮I.Prod J, I'.Prod J'⟯ M' × N'
     where
-  contMdiff_toFun := (h₁.ContMdiff.comp contMdiff_fst).prod_mk (h₂.ContMdiff.comp contMdiff_snd)
+  contMdiff_to_fun := (h₁.ContMdiff.comp contMdiff_fst).prod_mk (h₂.ContMdiff.comp contMdiff_snd)
   contMdiff_inv_fun :=
     (h₁.symm.ContMdiff.comp contMdiff_fst).prod_mk (h₂.symm.ContMdiff.comp contMdiff_snd)
   toEquiv := h₁.toEquiv.prodCongr h₂.toEquiv
@@ -409,7 +409,7 @@ variable (I J J' M N N' n)
 /-- `M × N` is diffeomorphic to `N × M`. -/
 def prodComm : (M × N) ≃ₘ^n⟮I.Prod J, J.Prod I⟯ N × M
     where
-  contMdiff_toFun := contMdiff_snd.prod_mk contMdiff_fst
+  contMdiff_to_fun := contMdiff_snd.prod_mk contMdiff_fst
   contMdiff_inv_fun := contMdiff_snd.prod_mk contMdiff_fst
   toEquiv := Equiv.prodComm M N
 #align diffeomorph.prod_comm Diffeomorph.prodComm
@@ -427,7 +427,7 @@ theorem coe_prodComm : ⇑(prodComm I J M N n) = Prod.swap :=
 /-- `(M × N) × N'` is diffeomorphic to `M × (N × N')`. -/
 def prodAssoc : ((M × N) × N') ≃ₘ^n⟮(I.Prod J).Prod J', I.Prod (J.Prod J')⟯ M × N × N'
     where
-  contMdiff_toFun :=
+  contMdiff_to_fun :=
     (contMdiff_fst.comp contMdiff_fst).prod_mk
       ((contMdiff_snd.comp contMdiff_fst).prod_mk contMdiff_snd)
   contMdiff_inv_fun :=
@@ -483,7 +483,7 @@ variable (e : E ≃L[𝕜] E')
 /-- A continuous linear equivalence between normed spaces is a diffeomorphism. -/
 def toDiffeomorph : E ≃ₘ[𝕜] E'
     where
-  contMdiff_toFun := e.ContDiff.ContMdiff
+  contMdiff_to_fun := e.ContDiff.ContMdiff
   contMdiff_inv_fun := e.symm.ContDiff.ContMdiff
   toEquiv := e.toLinearEquiv.toEquiv
 #align continuous_linear_equiv.to_diffeomorph ContinuousLinearEquiv.toDiffeomorph
@@ -571,7 +571,7 @@ with model `I.trans_diffeomorph e`. -/
 def toTransDiffeomorph (e : E ≃ₘ[𝕜] F) : M ≃ₘ⟮I, I.transDiffeomorph e⟯ M
     where
   toEquiv := Equiv.refl M
-  contMdiff_toFun x :=
+  contMdiff_to_fun x :=
     by
     refine' contMdiffWithinAt_iff'.2 ⟨continuousWithinAt_id, _⟩
     refine' e.cont_diff.cont_diff_within_at.congr' (fun y hy => _) _

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

@@ -79,18 +79,14 @@ structure Diffeomorph extends M ≃ M' where
 
 end Defs
 
--- mathport name: diffeomorph
 scoped[Manifold] notation M " ≃ₘ^" n:1000 "⟮" I ", " J "⟯ " N => Diffeomorph I J M N n
 
--- mathport name: diffeomorph.top
 scoped[Manifold] notation M " ≃ₘ⟮" I ", " J "⟯ " N => Diffeomorph I J M N ⊤
 
--- mathport name: diffeomorph.self
 scoped[Manifold]
   notation E " ≃ₘ^" n:1000 "[" 𝕜 "] " E' =>
     Diffeomorph (modelWithCornersSelf 𝕜 E) (modelWithCornersSelf 𝕜 E') E E' n
 
--- mathport name: diffeomorph.self.top
 scoped[Manifold]
   notation E " ≃ₘ[" 𝕜 "] " E' =>
     Diffeomorph (modelWithCornersSelf 𝕜 E) (modelWithCornersSelf 𝕜 E') E E' ⊤

mathlib commit https://github.com/leanprover-community/mathlib/commit/31c24aa72e7b3e5ed97a8412470e904f82b81004

@@ -4,11 +4,12 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri, Yury Kudryashov
 
 ! This file was ported from Lean 3 source module geometry.manifold.diffeomorph
-! leanprover-community/mathlib commit f2ce6086713c78a7f880485f7917ea547a215982
+! leanprover-community/mathlib commit e354e865255654389cc46e6032160238df2e0f40
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Geometry.Manifold.ContMdiffMap
+import Mathbin.Geometry.Manifold.ContMdiffMfderiv
 
 /-!
 # Diffeomorphisms
@@ -165,6 +166,12 @@ theorem ext {h h' : M ≃ₘ^n⟮I, I'⟯ M'} (Heq : ∀ x, h x = h' x) : h = h'
   coeFn_injective <| funext Heq
 #align diffeomorph.ext Diffeomorph.ext
 
+instance : ContinuousMapClass (M ≃ₘ⟮I, J⟯ N) M N
+    where
+  coe := coeFn
+  coe_injective' := coeFn_injective
+  map_continuous f := f.Continuous
+
 section
 
 variable (M I n)

mathlib commit https://github.com/leanprover-community/mathlib/commit/13361559d66b84f80b6d5a1c4a26aa5054766725

@@ -576,7 +576,7 @@ def toTransDiffeomorph (e : E ≃ₘ[𝕜] F) : M ≃ₘ⟮I, I.transDiffeomorph
       simp only [Equiv.coe_refl, id, (· ∘ ·), I.coe_ext_chart_at_trans_diffeomorph,
         (extChartAt I x).right_inv hy.1]
     exact
-      ⟨(extChartAt I x).map_source (mem_ext_chart_source I x), trivial, by simp only [mfld_simps]⟩
+      ⟨(extChartAt I x).map_source (mem_extChartAt_source I x), trivial, by simp only [mfld_simps]⟩
   contMdiff_inv_fun x :=
     by
     refine' contMdiffWithinAt_iff'.2 ⟨continuousWithinAt_id, _⟩
@@ -585,7 +585,7 @@ def toTransDiffeomorph (e : E ≃ₘ[𝕜] F) : M ≃ₘ⟮I, I.transDiffeomorph
       simp only [Equiv.coe_refl, Equiv.refl_symm, id, (· ∘ ·),
         I.coe_ext_chart_at_trans_diffeomorph_symm, (extChartAt I x).right_inv hy.1]
     exact
-      ⟨(extChartAt _ x).map_source (mem_ext_chart_source _ x), trivial, by
+      ⟨(extChartAt _ x).map_source (mem_extChartAt_source _ x), trivial, by
         simp only [e.symm_apply_apply, Equiv.refl_symm, Equiv.coe_refl, mfld_simps]⟩
 #align diffeomorph.to_trans_diffeomorph Diffeomorph.toTransDiffeomorph
 

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

@@ -316,7 +316,7 @@ theorem contMdiffWithinAt_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N)
   by
   constructor
   · intro Hfh
-    rw [← h.symm_apply_apply x] at Hfh
+    rw [← h.symm_apply_apply x] at Hfh 
     simpa only [(· ∘ ·), h.apply_symm_apply] using
       Hfh.comp (h x) (h.symm.cont_mdiff_within_at.of_le hm) (maps_to_preimage _ _)
   · rw [← h.image_eq_preimage]
@@ -581,7 +581,7 @@ def toTransDiffeomorph (e : E ≃ₘ[𝕜] F) : M ≃ₘ⟮I, I.transDiffeomorph
     by
     refine' contMdiffWithinAt_iff'.2 ⟨continuousWithinAt_id, _⟩
     refine' e.symm.cont_diff.cont_diff_within_at.congr' (fun y hy => _) _
-    · simp only [mem_inter_iff, I.ext_chart_at_trans_diffeomorph_target] at hy
+    · simp only [mem_inter_iff, I.ext_chart_at_trans_diffeomorph_target] at hy 
       simp only [Equiv.coe_refl, Equiv.refl_symm, id, (· ∘ ·),
         I.coe_ext_chart_at_trans_diffeomorph_symm, (extChartAt I x).right_inv hy.1]
     exact

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

@@ -48,7 +48,7 @@ diffeomorphism, manifold
 -/
 
 
-open Manifold Topology
+open scoped Manifold Topology
 
 open Function Set
 

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

Reference the newly created issues #12094 and #12096, as well as the pre-existing #5171. Change all references to #10927 to #5171. Some of these changes were not labelled as "porting note"; change this for good measure.

@@ -67,7 +67,7 @@ variable (I I' M M' n)
 
 /-- `n`-times continuously differentiable diffeomorphism between `M` and `M'` with respect to `I`
 and `I'`. -/
--- Porting note: was @[nolint has_nonempty_instance]
+-- Porting note(#5171): was @[nolint has_nonempty_instance]
 structure Diffeomorph extends M ≃ M' where
   protected contMDiff_toFun : ContMDiff I I' n toEquiv
   protected contMDiff_invFun : ContMDiff I' I n toEquiv.symm

In all cases, the original proof fixed itself.

@@ -570,12 +570,11 @@ with model `I.trans_diffeomorph e`. -/
 def toTransDiffeomorph (e : E ≃ₘ[𝕜] F) : M ≃ₘ⟮I, I.transDiffeomorph e⟯ M where
   toEquiv := Equiv.refl M
   contMDiff_toFun x := by
-    refine' contMDiffWithinAt_iff'.2 ⟨continuousWithinAt_id, _⟩
-    refine' e.contDiff.contDiffWithinAt.congr' (fun y hy => _) _
-    · simp only [Equiv.coe_refl, id, (· ∘ ·), I.coe_extChartAt_transDiffeomorph]
-      -- Porting note: `simp only` failed to used next lemma, converted to `rw`
-      rw [(extChartAt I x).right_inv hy.1]
-    exact
+    refine contMDiffWithinAt_iff'.2 ⟨continuousWithinAt_id, ?_⟩
+    refine e.contDiff.contDiffWithinAt.congr' (fun y hy ↦ ?_) ?_
+    · simp only [Equiv.coe_refl, id, (· ∘ ·), I.coe_extChartAt_transDiffeomorph,
+        (extChartAt I x).right_inv hy.1]
+    · exact
       ⟨(extChartAt I x).map_source (mem_extChartAt_source I x), trivial, by simp only [mfld_simps]⟩
   contMDiff_invFun x := by
     refine' contMDiffWithinAt_iff'.2 ⟨continuousWithinAt_id, _⟩

Classifies by adding issue number #10618 to porting notes claiming "simp can prove it".

@@ -613,7 +613,7 @@ theorem contMDiff_transDiffeomorph_right {f : M' → M} :
   (toTransDiffeomorph I M e).contMDiff_diffeomorph_comp_iff le_top
 #align diffeomorph.cont_mdiff_trans_diffeomorph_right Diffeomorph.contMDiff_transDiffeomorph_right
 
--- Porting note: was `@[simp]` but now `simp` can prove it
+-- Porting note (#10618): was `@[simp]` but now `simp` can prove it
 theorem smooth_transDiffeomorph_right {f : M' → M} :
     Smooth I' (I.transDiffeomorph e) f ↔ Smooth I' I f :=
   contMDiff_transDiffeomorph_right e
@@ -643,7 +643,7 @@ theorem contMDiff_transDiffeomorph_left {f : M → M'} :
   ((toTransDiffeomorph I M e).contMDiff_comp_diffeomorph_iff le_top).symm
 #align diffeomorph.cont_mdiff_trans_diffeomorph_left Diffeomorph.contMDiff_transDiffeomorph_left
 
--- Porting note: was `@[simp]` but now `simp` can prove it
+-- Porting note (#10618): was `@[simp]` but now `simp` can prove it
 theorem smooth_transDiffeomorph_left {f : M → M'} :
     Smooth (I.transDiffeomorph e) I' f ↔ Smooth I I' f :=
   e.contMDiff_transDiffeomorph_left

Classifies by adding issue number #11215 to porting notes claiming "TODO".

@@ -129,7 +129,7 @@ protected theorem contMDiffWithinAt (h : M ≃ₘ^n⟮I, I'⟯ M') {s x} : ContM
   h.contMDiffAt.contMDiffWithinAt
 #align diffeomorph.cont_mdiff_within_at Diffeomorph.contMDiffWithinAt
 
--- Porting note: TODO: should use `E ≃ₘ^n[𝕜] F` notation
+-- Porting note (#11215): TODO: should use `E ≃ₘ^n[𝕜] F` notation
 protected theorem contDiff (h : E ≃ₘ^n⟮𝓘(𝕜, E), 𝓘(𝕜, E')⟯ E') : ContDiff 𝕜 n h :=
   h.contMDiff.contDiff
 #align diffeomorph.cont_diff Diffeomorph.contDiff
@@ -463,7 +463,7 @@ theorem uniqueMDiffOn_preimage (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) {s :
   h.symm_image_eq_preimage s ▸ h.symm.uniqueMDiffOn_image hn
 #align diffeomorph.unique_mdiff_on_preimage Diffeomorph.uniqueMDiffOn_preimage
 
--- Porting note: TODO: should use `E ≃ₘ^n[𝕜] F` notation
+-- Porting note (#11215): TODO: should use `E ≃ₘ^n[𝕜] F` notation
 @[simp]
 theorem uniqueDiffOn_image (h : E ≃ₘ^n⟮𝓘(𝕜, E), 𝓘(𝕜, F)⟯ F) (hn : 1 ≤ n) {s : Set E} :
     UniqueDiffOn 𝕜 (h '' s) ↔ UniqueDiffOn 𝕜 s := by
@@ -471,7 +471,7 @@ theorem uniqueDiffOn_image (h : E ≃ₘ^n⟮𝓘(𝕜, E), 𝓘(𝕜, F)⟯ F)
 #align diffeomorph.unique_diff_on_image Diffeomorph.uniqueDiffOn_image
 
 @[simp]
--- Porting note: TODO: should use `E ≃ₘ^n[𝕜] F` notation
+-- Porting note (#11215): TODO: should use `E ≃ₘ^n[𝕜] F` notation
 theorem uniqueDiffOn_preimage (h : E ≃ₘ^n⟮𝓘(𝕜, E), 𝓘(𝕜, F)⟯ F) (hn : 1 ≤ n) {s : Set F} :
     UniqueDiffOn 𝕜 (h ⁻¹' s) ↔ UniqueDiffOn 𝕜 s :=
   h.symm_image_eq_preimage s ▸ h.symm.uniqueDiffOn_image hn

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

• converts "--porting note" into "-- Porting note";
• converts "porting note" into "Porting note".

@@ -129,7 +129,7 @@ protected theorem contMDiffWithinAt (h : M ≃ₘ^n⟮I, I'⟯ M') {s x} : ContM
   h.contMDiffAt.contMDiffWithinAt
 #align diffeomorph.cont_mdiff_within_at Diffeomorph.contMDiffWithinAt
 
--- porting note: TODO: should use `E ≃ₘ^n[𝕜] F` notation
+-- Porting note: TODO: should use `E ≃ₘ^n[𝕜] F` notation
 protected theorem contDiff (h : E ≃ₘ^n⟮𝓘(𝕜, E), 𝓘(𝕜, E')⟯ E') : ContDiff 𝕜 n h :=
   h.contMDiff.contDiff
 #align diffeomorph.cont_diff Diffeomorph.contDiff
@@ -463,7 +463,7 @@ theorem uniqueMDiffOn_preimage (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) {s :
   h.symm_image_eq_preimage s ▸ h.symm.uniqueMDiffOn_image hn
 #align diffeomorph.unique_mdiff_on_preimage Diffeomorph.uniqueMDiffOn_preimage
 
--- porting note: TODO: should use `E ≃ₘ^n[𝕜] F` notation
+-- Porting note: TODO: should use `E ≃ₘ^n[𝕜] F` notation
 @[simp]
 theorem uniqueDiffOn_image (h : E ≃ₘ^n⟮𝓘(𝕜, E), 𝓘(𝕜, F)⟯ F) (hn : 1 ≤ n) {s : Set E} :
     UniqueDiffOn 𝕜 (h '' s) ↔ UniqueDiffOn 𝕜 s := by
@@ -471,7 +471,7 @@ theorem uniqueDiffOn_image (h : E ≃ₘ^n⟮𝓘(𝕜, E), 𝓘(𝕜, F)⟯ F)
 #align diffeomorph.unique_diff_on_image Diffeomorph.uniqueDiffOn_image
 
 @[simp]
--- porting note: TODO: should use `E ≃ₘ^n[𝕜] F` notation
+-- Porting note: TODO: should use `E ≃ₘ^n[𝕜] F` notation
 theorem uniqueDiffOn_preimage (h : E ≃ₘ^n⟮𝓘(𝕜, E), 𝓘(𝕜, F)⟯ F) (hn : 1 ≤ n) {s : Set F} :
     UniqueDiffOn 𝕜 (h ⁻¹' s) ↔ UniqueDiffOn 𝕜 s :=
   h.symm_image_eq_preimage s ▸ h.symm.uniqueDiffOn_image hn
@@ -573,7 +573,7 @@ def toTransDiffeomorph (e : E ≃ₘ[𝕜] F) : M ≃ₘ⟮I, I.transDiffeomorph
     refine' contMDiffWithinAt_iff'.2 ⟨continuousWithinAt_id, _⟩
     refine' e.contDiff.contDiffWithinAt.congr' (fun y hy => _) _
     · simp only [Equiv.coe_refl, id, (· ∘ ·), I.coe_extChartAt_transDiffeomorph]
-      -- porting note: `simp only` failed to used next lemma, converted to `rw`
+      -- Porting note: `simp only` failed to used next lemma, converted to `rw`
       rw [(extChartAt I x).right_inv hy.1]
     exact
       ⟨(extChartAt I x).map_source (mem_extChartAt_source I x), trivial, by simp only [mfld_simps]⟩
@@ -613,7 +613,7 @@ theorem contMDiff_transDiffeomorph_right {f : M' → M} :
   (toTransDiffeomorph I M e).contMDiff_diffeomorph_comp_iff le_top
 #align diffeomorph.cont_mdiff_trans_diffeomorph_right Diffeomorph.contMDiff_transDiffeomorph_right
 
--- porting note: was `@[simp]` but now `simp` can prove it
+-- Porting note: was `@[simp]` but now `simp` can prove it
 theorem smooth_transDiffeomorph_right {f : M' → M} :
     Smooth I' (I.transDiffeomorph e) f ↔ Smooth I' I f :=
   contMDiff_transDiffeomorph_right e
@@ -643,7 +643,7 @@ theorem contMDiff_transDiffeomorph_left {f : M → M'} :
   ((toTransDiffeomorph I M e).contMDiff_comp_diffeomorph_iff le_top).symm
 #align diffeomorph.cont_mdiff_trans_diffeomorph_left Diffeomorph.contMDiff_transDiffeomorph_left
 
--- porting note: was `@[simp]` but now `simp` can prove it
+-- Porting note: was `@[simp]` but now `simp` can prove it
 theorem smooth_transDiffeomorph_left {f : M → M'} :
     Smooth (I.transDiffeomorph e) I' f ↔ Smooth I I' f :=
   e.contMDiff_transDiffeomorph_left

Use Lean 4 syntax fun x ↦ instead, matching the style guide. This is close to exhaustive for doc comments; mathlib has about 460 remaining uses of λ (not all in Lean 3 syntax).

@@ -161,7 +161,7 @@ theorem toEquiv_inj {h h' : M ≃ₘ^n⟮I, I'⟯ M'} : h.toEquiv = h'.toEquiv 
   toEquiv_injective.eq_iff
 #align diffeomorph.to_equiv_inj Diffeomorph.toEquiv_inj
 
-/-- Coercion to function `λ h : M ≃ₘ^n⟮I, I'⟯ M', (h : M → M')` is injective. -/
+/-- Coercion to function `fun h : M ≃ₘ^n⟮I, I'⟯ M' ↦ (h : M → M')` is injective. -/
 theorem coeFn_injective : Injective ((↑) : (M ≃ₘ^n⟮I, I'⟯ M') → (M → M')) :=
   DFunLike.coe_injective
 #align diffeomorph.coe_fn_injective Diffeomorph.coeFn_injective

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.

@@ -65,9 +65,8 @@ section Defs
 
 variable (I I' M M' n)
 
-/--
-`n`-times continuously differentiable diffeomorphism between `M` and `M'` with respect to I and I'
--/
+/-- `n`-times continuously differentiable diffeomorphism between `M` and `M'` with respect to `I`
+and `I'`. -/
 -- Porting note: was @[nolint has_nonempty_instance]
 structure Diffeomorph extends M ≃ M' where
   protected contMDiff_toFun : ContMDiff I I' n toEquiv
@@ -76,14 +75,18 @@ structure Diffeomorph extends M ≃ M' where
 
 end Defs
 
+@[inherit_doc]
 scoped[Manifold] notation M " ≃ₘ^" n:1000 "⟮" I ", " J "⟯ " N => Diffeomorph I J M N n
 
+/-- Infinitely differentiable diffeomorphism between `M` and `M'` with respect to `I` and `I'`. -/
 scoped[Manifold] notation M " ≃ₘ⟮" I ", " J "⟯ " N => Diffeomorph I J M N ⊤
 
+/-- `n`-times continuously differentiable diffeomorphism between `E` and `E'`. -/
 scoped[Manifold]
   notation E " ≃ₘ^" n:1000 "[" 𝕜 "] " E' =>
     Diffeomorph (modelWithCornersSelf 𝕜 E) (modelWithCornersSelf 𝕜 E') E E' n
 
+/-- Infinitely differentiable diffeomorphism between `E` and `E'`. -/
 scoped[Manifold]
   notation E " ≃ₘ[" 𝕜 "] " E' =>
     Diffeomorph (modelWithCornersSelf 𝕜 E) (modelWithCornersSelf 𝕜 E') E E' ⊤

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>

@@ -99,7 +99,7 @@ instance : EquivLike (M ≃ₘ^n⟮I, I'⟯ M') M M' where
   inv Φ := Φ.toEquiv.symm
   left_inv Φ := Φ.left_inv
   right_inv Φ := Φ.right_inv
-  coe_injective' _ _ h _ := toEquiv_injective <| FunLike.ext' h
+  coe_injective' _ _ h _ := toEquiv_injective <| DFunLike.ext' h
 
 /-- Interpret a diffeomorphism as a `ContMDiffMap`. -/
 @[coe]
@@ -160,7 +160,7 @@ theorem toEquiv_inj {h h' : M ≃ₘ^n⟮I, I'⟯ M'} : h.toEquiv = h'.toEquiv 
 
 /-- Coercion to function `λ h : M ≃ₘ^n⟮I, I'⟯ M', (h : M → M')` is injective. -/
 theorem coeFn_injective : Injective ((↑) : (M ≃ₘ^n⟮I, I'⟯ M') → (M → M')) :=
-  FunLike.coe_injective
+  DFunLike.coe_injective
 #align diffeomorph.coe_fn_injective Diffeomorph.coeFn_injective
 
 @[ext]

With about 2200 lines, this is the largest file in Geometry/Manifolds.

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri, Yury Kudryashov
 -/
 import Mathlib.Geometry.Manifold.ContMDiffMap
-import Mathlib.Geometry.Manifold.MFDeriv.Basic
+import Mathlib.Geometry.Manifold.MFDeriv.UniqueDifferential
 
 #align_import geometry.manifold.diffeomorph from "leanprover-community/mathlib"@"e354e865255654389cc46e6032160238df2e0f40"
 

To preserve most git history when splitting the file in #9565.

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri, Yury Kudryashov
 -/
 import Mathlib.Geometry.Manifold.ContMDiffMap
-import Mathlib.Geometry.Manifold.MFDeriv
+import Mathlib.Geometry.Manifold.MFDeriv.Basic
 
 #align_import geometry.manifold.diffeomorph from "leanprover-community/mathlib"@"e354e865255654389cc46e6032160238df2e0f40"
 

Items 4-5 in reference Zulip

Also added symm and trans definitions for PartialEquiv, Homeomorph, and PartialHomeomorph.

@@ -195,6 +195,7 @@ theorem coe_refl : ⇑(Diffeomorph.refl I M n) = id :=
 end
 
 /-- Composition of two diffeomorphisms. -/
+@[trans]
 protected def trans (h₁ : M ≃ₘ^n⟮I, I'⟯ M') (h₂ : M' ≃ₘ^n⟮I', J⟯ N) : M ≃ₘ^n⟮I, J⟯ N where
   contMDiff_toFun := h₂.contMDiff.comp h₁.contMDiff
   contMDiff_invFun := h₁.contMDiff_invFun.comp h₂.contMDiff_invFun
@@ -217,7 +218,7 @@ theorem coe_trans (h₁ : M ≃ₘ^n⟮I, I'⟯ M') (h₂ : M' ≃ₘ^n⟮I', J
 #align diffeomorph.coe_trans Diffeomorph.coe_trans
 
 /-- Inverse of a diffeomorphism. -/
-@[pp_dot]
+@[symm]
 protected def symm (h : M ≃ₘ^n⟮I, J⟯ N) : N ≃ₘ^n⟮J, I⟯ M where
   contMDiff_toFun := h.contMDiff_invFun
   contMDiff_invFun := h.contMDiff_toFun

The current name is misleading: there's no open set involved; it's just an equivalence between subsets of domain and target. zulip discussion

PEquiv is similarly named: this is fine, as they're different designs for the same concept.

Co-authored-by: Michael Rothgang <rothgami@math.hu-berlin.de>

@@ -509,7 +509,7 @@ variable (I) (e : E ≃ₘ[𝕜] E')
 
 /-- Apply a diffeomorphism (e.g., a continuous linear equivalence) to the model vector space. -/
 def transDiffeomorph (I : ModelWithCorners 𝕜 E H) (e : E ≃ₘ[𝕜] E') : ModelWithCorners 𝕜 E' H where
-  toLocalEquiv := I.toLocalEquiv.trans e.toEquiv.toLocalEquiv
+  toPartialEquiv := I.toPartialEquiv.trans e.toEquiv.toPartialEquiv
   source_eq := by simp
   unique_diff' := by simp [range_comp e, I.unique_diff]
   continuous_toFun := e.continuous.comp I.continuous

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

@@ -374,10 +374,10 @@ theorem contMDiff_diffeomorph_comp_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N) {f : M'
   forall_congr' fun _ => h.contMDiffWithinAt_diffeomorph_comp_iff hm
 #align diffeomorph.cont_mdiff_diffeomorph_comp_iff Diffeomorph.contMDiff_diffeomorph_comp_iff
 
-theorem toLocalHomeomorph_mdifferentiable (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) :
-    h.toHomeomorph.toLocalHomeomorph.MDifferentiable I J :=
+theorem toPartialHomeomorph_mdifferentiable (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) :
+    h.toHomeomorph.toPartialHomeomorph.MDifferentiable I J :=
   ⟨h.mdifferentiableOn _ hn, h.symm.mdifferentiableOn _ hn⟩
-#align diffeomorph.to_local_homeomorph_mdifferentiable Diffeomorph.toLocalHomeomorph_mdifferentiable
+#align diffeomorph.to_local_homeomorph_mdifferentiable Diffeomorph.toPartialHomeomorph_mdifferentiable
 
 section Constructions
 
@@ -442,7 +442,7 @@ variable [SmoothManifoldWithCorners I M] [SmoothManifoldWithCorners J N]
 
 theorem uniqueMDiffOn_image_aux (h : M ≃ₘ^n⟮I, J⟯ N) (hn : 1 ≤ n) {s : Set M}
     (hs : UniqueMDiffOn I s) : UniqueMDiffOn J (h '' s) := by
-  convert hs.uniqueMDiffOn_preimage (h.toLocalHomeomorph_mdifferentiable hn)
+  convert hs.uniqueMDiffOn_preimage (h.toPartialHomeomorph_mdifferentiable hn)
   simp [h.image_eq_preimage]
 #align diffeomorph.unique_mdiff_on_image_aux Diffeomorph.uniqueMDiffOn_image_aux
 

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

This has nice performance benefits.

@@ -50,15 +50,15 @@ open scoped Manifold Topology
 
 open Function Set
 
-variable {𝕜 : Type _} [NontriviallyNormedField 𝕜] {E : Type _} [NormedAddCommGroup E]
-  [NormedSpace 𝕜 E] {E' : Type _} [NormedAddCommGroup E'] [NormedSpace 𝕜 E'] {F : Type _}
-  [NormedAddCommGroup F] [NormedSpace 𝕜 F] {H : Type _} [TopologicalSpace H] {H' : Type _}
-  [TopologicalSpace H'] {G : Type _} [TopologicalSpace G] {G' : Type _} [TopologicalSpace G']
+variable {𝕜 : Type*} [NontriviallyNormedField 𝕜] {E : Type*} [NormedAddCommGroup E]
+  [NormedSpace 𝕜 E] {E' : Type*} [NormedAddCommGroup E'] [NormedSpace 𝕜 E'] {F : Type*}
+  [NormedAddCommGroup F] [NormedSpace 𝕜 F] {H : Type*} [TopologicalSpace H] {H' : Type*}
+  [TopologicalSpace H'] {G : Type*} [TopologicalSpace G] {G' : Type*} [TopologicalSpace G']
   {I : ModelWithCorners 𝕜 E H} {I' : ModelWithCorners 𝕜 E' H'} {J : ModelWithCorners 𝕜 F G}
   {J' : ModelWithCorners 𝕜 F G'}
 
-variable {M : Type _} [TopologicalSpace M] [ChartedSpace H M] {M' : Type _} [TopologicalSpace M']
-  [ChartedSpace H' M'] {N : Type _} [TopologicalSpace N] [ChartedSpace G N] {N' : Type _}
+variable {M : Type*} [TopologicalSpace M] [ChartedSpace H M] {M' : Type*} [TopologicalSpace M']
+  [ChartedSpace H' M'] {N : Type*} [TopologicalSpace N] [ChartedSpace G N] {N' : Type*}
   [TopologicalSpace N'] [ChartedSpace G' N'] {n : ℕ∞}
 
 section Defs

• 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, Yury Kudryashov
-
-! This file was ported from Lean 3 source module geometry.manifold.diffeomorph
-! leanprover-community/mathlib commit e354e865255654389cc46e6032160238df2e0f40
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Geometry.Manifold.ContMDiffMap
 import Mathlib.Geometry.Manifold.MFDeriv
 
+#align_import geometry.manifold.diffeomorph from "leanprover-community/mathlib"@"e354e865255654389cc46e6032160238df2e0f40"
+
 /-!
 # Diffeomorphisms
 This file implements diffeomorphisms.

@@ -220,14 +220,13 @@ theorem coe_trans (h₁ : M ≃ₘ^n⟮I, I'⟯ M') (h₂ : M' ≃ₘ^n⟮I', J
 #align diffeomorph.coe_trans Diffeomorph.coe_trans
 
 /-- Inverse of a diffeomorphism. -/
+@[pp_dot]
 protected def symm (h : M ≃ₘ^n⟮I, J⟯ N) : N ≃ₘ^n⟮J, I⟯ M where
   contMDiff_toFun := h.contMDiff_invFun
   contMDiff_invFun := h.contMDiff_toFun
   toEquiv := h.toEquiv.symm
 #align diffeomorph.symm Diffeomorph.symm
 
-pp_extended_field_notation Diffeomorph.symm
-
 @[simp]
 theorem apply_symm_apply (h : M ≃ₘ^n⟮I, J⟯ N) (x : N) : h (h.symm x) = x :=
   h.toEquiv.apply_symm_apply x
@@ -324,7 +323,7 @@ theorem contMDiffWithinAt_comp_diffeomorph_iff {m} (h : M ≃ₘ^n⟮I, J⟯ N)
     ContMDiffWithinAt I I' m (f ∘ h) s x ↔ ContMDiffWithinAt J I' m f (h.symm ⁻¹' s) (h x) := by
   constructor
   · intro Hfh
-    rw [← h.symm_apply_apply x] at Hfh 
+    rw [← h.symm_apply_apply x] at Hfh
     simpa only [(· ∘ ·), h.apply_symm_apply] using
       Hfh.comp (h x) (h.symm.contMDiffWithinAt.of_le hm) (mapsTo_preimage _ _)
   · rw [← h.image_eq_preimage]
@@ -580,7 +579,7 @@ def toTransDiffeomorph (e : E ≃ₘ[𝕜] F) : M ≃ₘ⟮I, I.transDiffeomorph
   contMDiff_invFun x := by
     refine' contMDiffWithinAt_iff'.2 ⟨continuousWithinAt_id, _⟩
     refine' e.symm.contDiff.contDiffWithinAt.congr' (fun y hy => _) _
-    · simp only [mem_inter_iff, I.extChartAt_transDiffeomorph_target] at hy 
+    · simp only [mem_inter_iff, I.extChartAt_transDiffeomorph_target] at hy
       simp only [Equiv.coe_refl, Equiv.refl_symm, id, (· ∘ ·),
         I.coe_extChartAt_transDiffeomorph_symm, (extChartAt I x).right_inv hy.1]
     exact ⟨(extChartAt _ x).map_source (mem_extChartAt_source _ x), trivial, by