PR contents

(last sync)

refactor: redefine bundle.total_space (#19221)

Use a custom structure for bundle.total_space.
- Use bundle.total_space.mk instead of bundle.total_space_mk.
- Use bundle.total_space.to_prod instead of equiv.sigma_equiv_prod.
- Use bundle.total_space.mk' (scoped notation) to specify F.
- Rename bundle.trivial.proj_snd to bundle.total_space.trivial_snd to allow dot notation. Should we just use bundle.total_space.snd since bundle.trivial is now reducible?
Add an unused argument to bundle.total_space.
Make bundle.trivial and bundle.continuous_linear_map reducible.
Drop instances that are no longer needed.

Diff

@@ -19,7 +19,7 @@ Let `B` be the base space, let `F` be a normed space over a normed field `R`, an
 `E : B → Type*` be a `fiber_bundle` with fiber `F`, in which, for each `x`, the fiber `E x` is a
 topological vector space over `R`.
 
-To have a vector bundle structure on `bundle.total_space E`, one should additionally have the
+To have a vector bundle structure on `bundle.total_space F E`, one should additionally have the
 following properties:
 
 * The bundle trivializations in the trivialization atlas should be continuous linear equivs in the
@@ -70,23 +70,23 @@ variables {B F E} [semiring R]
 /-- A mixin class for `pretrivialization`, stating that a pretrivialization is fiberwise linear with
 respect to given module structures on its fibers and the model fiber. -/
 protected class pretrivialization.is_linear [add_comm_monoid F] [module R F]
-  [∀ x, add_comm_monoid (E x)] [∀ x, module R (E x)] (e : pretrivialization F (π E)) :
+  [∀ x, add_comm_monoid (E x)] [∀ x, module R (E x)] (e : pretrivialization F (π F E)) :
   Prop :=
-(linear : ∀ b ∈ e.base_set, is_linear_map R (λ x : E b, (e (total_space_mk b x)).2))
+(linear : ∀ b ∈ e.base_set, is_linear_map R (λ x : E b, (e ⟨b, x⟩).2))
 
 namespace pretrivialization
 
-variables {F E} (e : pretrivialization F (π E)) {x : total_space E} {b : B} {y : E b}
+variables {F E} (e : pretrivialization F (π F E)) {x : total_space F E} {b : B} {y : E b}
 
 lemma linear [add_comm_monoid F] [module R F] [∀ x, add_comm_monoid (E x)] [∀ x, module R (E x)]
   [e.is_linear R] {b : B} (hb : b ∈ e.base_set) :
-  is_linear_map R (λ x : E b, (e (total_space_mk b x)).2) :=
+  is_linear_map R (λ x : E b, (e ⟨b, x⟩).2) :=
 pretrivialization.is_linear.linear b hb
 
 variables [add_comm_monoid F] [module R F] [∀ x, add_comm_monoid (E x)] [∀ x, module R (E x)]
 
 /-- A fiberwise linear inverse to `e`. -/
-@[simps] protected def symmₗ (e : pretrivialization F (π E)) [e.is_linear R] (b : B) :
+@[simps] protected def symmₗ (e : pretrivialization F (π F E)) [e.is_linear R] (b : B) :
   F →ₗ[R] E b :=
 begin
   refine is_linear_map.mk' (e.symm b) _,
@@ -98,10 +98,10 @@ end
 
 /-- A pretrivialization for a vector bundle defines linear equivalences between the
 fibers and the model space. -/
-@[simps {fully_applied := ff}] def linear_equiv_at (e : pretrivialization F (π E)) [e.is_linear R]
+@[simps {fully_applied := ff}] def linear_equiv_at (e : pretrivialization F (π F E)) [e.is_linear R]
   (b : B) (hb : b ∈ e.base_set) :
   E b ≃ₗ[R] F :=
-{ to_fun := λ y, (e (total_space_mk b y)).2,
+{ to_fun := λ y, (e ⟨b, y⟩).2,
   inv_fun := e.symm b,
   left_inv := e.symm_apply_apply_mk hb,
   right_inv := λ v, by simp_rw [e.apply_mk_symm hb v],
@@ -109,66 +109,67 @@ fibers and the model space. -/
   map_smul' := λ c v, (e.linear R hb).map_smul c v }
 
 /-- A fiberwise linear map equal to `e` on `e.base_set`. -/
-protected def linear_map_at (e : pretrivialization F (π E)) [e.is_linear R] (b : B) : E b →ₗ[R] F :=
+protected def linear_map_at (e : pretrivialization F (π F E)) [e.is_linear R] (b : B) :
+  E b →ₗ[R] F :=
 if hb : b ∈ e.base_set then e.linear_equiv_at R b hb else 0
 
 variables {R}
 
-lemma coe_linear_map_at (e : pretrivialization F (π E)) [e.is_linear R] (b : B) :
-  ⇑(e.linear_map_at R b) = λ y, if b ∈ e.base_set then (e (total_space_mk b y)).2 else 0 :=
+lemma coe_linear_map_at (e : pretrivialization F (π F E)) [e.is_linear R] (b : B) :
+  ⇑(e.linear_map_at R b) = λ y, if b ∈ e.base_set then (e ⟨b, y⟩).2 else 0 :=
 by { rw [pretrivialization.linear_map_at], split_ifs; refl }
 
-lemma coe_linear_map_at_of_mem (e : pretrivialization F (π E)) [e.is_linear R] {b : B}
+lemma coe_linear_map_at_of_mem (e : pretrivialization F (π F E)) [e.is_linear R] {b : B}
   (hb : b ∈ e.base_set) :
-  ⇑(e.linear_map_at R b) = λ y, (e (total_space_mk b y)).2 :=
+  ⇑(e.linear_map_at R b) = λ y, (e ⟨b, y⟩).2 :=
 by simp_rw [coe_linear_map_at, if_pos hb]
 
-lemma linear_map_at_apply (e : pretrivialization F (π E)) [e.is_linear R] {b : B} (y : E b) :
-  e.linear_map_at R b y = if b ∈ e.base_set then (e (total_space_mk b y)).2 else 0 :=
+lemma linear_map_at_apply (e : pretrivialization F (π F E)) [e.is_linear R] {b : B} (y : E b) :
+  e.linear_map_at R b y = if b ∈ e.base_set then (e ⟨b, y⟩).2 else 0 :=
 by rw [coe_linear_map_at]
 
-lemma linear_map_at_def_of_mem (e : pretrivialization F (π E)) [e.is_linear R] {b : B}
+lemma linear_map_at_def_of_mem (e : pretrivialization F (π F E)) [e.is_linear R] {b : B}
   (hb : b ∈ e.base_set) :
   e.linear_map_at R b = e.linear_equiv_at R b hb :=
 dif_pos hb
 
-lemma linear_map_at_def_of_not_mem (e : pretrivialization F (π E)) [e.is_linear R] {b : B}
+lemma linear_map_at_def_of_not_mem (e : pretrivialization F (π F E)) [e.is_linear R] {b : B}
   (hb : b ∉ e.base_set) :
   e.linear_map_at R b = 0 :=
 dif_neg hb
 
-lemma linear_map_at_eq_zero (e : pretrivialization F (π E)) [e.is_linear R] {b : B}
+lemma linear_map_at_eq_zero (e : pretrivialization F (π F E)) [e.is_linear R] {b : B}
   (hb : b ∉ e.base_set) :
   e.linear_map_at R b = 0 :=
 dif_neg hb
 
-lemma symmₗ_linear_map_at (e : pretrivialization F (π E)) [e.is_linear R] {b : B}
+lemma symmₗ_linear_map_at (e : pretrivialization F (π F E)) [e.is_linear R] {b : B}
   (hb : b ∈ e.base_set) (y : E b) :
   e.symmₗ R b (e.linear_map_at R b y) = y :=
 by { rw [e.linear_map_at_def_of_mem hb], exact (e.linear_equiv_at R b hb).left_inv y }
 
-lemma linear_map_at_symmₗ (e : pretrivialization F (π E)) [e.is_linear R] {b : B}
+lemma linear_map_at_symmₗ (e : pretrivialization F (π F E)) [e.is_linear R] {b : B}
   (hb : b ∈ e.base_set) (y : F) :
   e.linear_map_at R b (e.symmₗ R b y) = y :=
 by { rw [e.linear_map_at_def_of_mem hb], exact (e.linear_equiv_at R b hb).right_inv y }
 
 end pretrivialization
 
-variables (R) [topological_space (total_space E)]
+variables (R) [topological_space (total_space F E)]
 
 /-- A mixin class for `trivialization`, stating that a trivialization is fiberwise linear with
 respect to given module structures on its fibers and the model fiber. -/
 protected class trivialization.is_linear [add_comm_monoid F] [module R F]
-  [∀ x, add_comm_monoid (E x)] [∀ x, module R (E x)] (e : trivialization F (π E)) : Prop :=
-(linear : ∀ b ∈ e.base_set, is_linear_map R (λ x : E b, (e (total_space_mk b x)).2))
+  [∀ x, add_comm_monoid (E x)] [∀ x, module R (E x)] (e : trivialization F (π F E)) : Prop :=
+(linear : ∀ b ∈ e.base_set, is_linear_map R (λ x : E b, (e ⟨b, x⟩).2))
 
 namespace trivialization
 
-variables (e : trivialization F (π E)) {x : total_space E} {b : B} {y : E b}
+variables (e : trivialization F (π F E)) {x : total_space F E} {b : B} {y : E b}
 
 protected lemma linear [add_comm_monoid F] [module R F] [∀ x, add_comm_monoid (E x)]
   [∀ x, module R (E x)] [e.is_linear R] {b : B} (hb : b ∈ e.base_set) :
-  is_linear_map R (λ y : E b, (e (total_space_mk b y)).2) :=
+  is_linear_map R (λ y : E b, (e ⟨b, y⟩).2) :=
 trivialization.is_linear.linear b hb
 
 instance to_pretrivialization.is_linear [add_comm_monoid F] [module R F]
@@ -180,71 +181,72 @@ variables [add_comm_monoid F] [module R F] [∀ x, add_comm_monoid (E x)] [∀ x
 
 /-- A trivialization for a vector bundle defines linear equivalences between the
 fibers and the model space. -/
-def linear_equiv_at (e : trivialization F (π E)) [e.is_linear R] (b : B) (hb : b ∈ e.base_set) :
+def linear_equiv_at (e : trivialization F (π F E)) [e.is_linear R] (b : B) (hb : b ∈ e.base_set) :
   E b ≃ₗ[R] F :=
 e.to_pretrivialization.linear_equiv_at R b hb
 
 variables {R}
 
 @[simp]
-lemma linear_equiv_at_apply (e : trivialization F (π E)) [e.is_linear R] (b : B)
+lemma linear_equiv_at_apply (e : trivialization F (π F E)) [e.is_linear R] (b : B)
   (hb : b ∈ e.base_set) (v : E b) :
-  e.linear_equiv_at R b hb v = (e (total_space_mk b v)).2 := rfl
+  e.linear_equiv_at R b hb v = (e ⟨b, v⟩).2 := rfl
 
 @[simp]
-lemma linear_equiv_at_symm_apply (e : trivialization F (π E)) [e.is_linear R] (b : B)
+lemma linear_equiv_at_symm_apply (e : trivialization F (π F E)) [e.is_linear R] (b : B)
   (hb : b ∈ e.base_set) (v : F) :
   (e.linear_equiv_at R b hb).symm v = e.symm b v := rfl
 
 variables (R)
 
 /-- A fiberwise linear inverse to `e`. -/
-protected def symmₗ (e : trivialization F (π E)) [e.is_linear R] (b : B) : F →ₗ[R] E b :=
+protected def symmₗ (e : trivialization F (π F E)) [e.is_linear R] (b : B) : F →ₗ[R] E b :=
 e.to_pretrivialization.symmₗ R b
 
 variables {R}
 
-lemma coe_symmₗ (e : trivialization F (π E)) [e.is_linear R] (b : B) : ⇑(e.symmₗ R b) = e.symm b :=
+lemma coe_symmₗ (e : trivialization F (π F E)) [e.is_linear R] (b : B) :
+  ⇑(e.symmₗ R b) = e.symm b :=
 rfl
 
 variables (R)
 
 /-- A fiberwise linear map equal to `e` on `e.base_set`. -/
-protected def linear_map_at (e : trivialization F (π E)) [e.is_linear R] (b : B) : E b →ₗ[R] F :=
+protected def linear_map_at (e : trivialization F (π F E)) [e.is_linear R] (b : B) : E b →ₗ[R] F :=
 e.to_pretrivialization.linear_map_at R b
 
 variables {R}
 
-lemma coe_linear_map_at (e : trivialization F (π E)) [e.is_linear R] (b : B) :
-  ⇑(e.linear_map_at R b) = λ y, if b ∈ e.base_set then (e (total_space_mk b y)).2 else 0 :=
+lemma coe_linear_map_at (e : trivialization F (π F E)) [e.is_linear R] (b : B) :
+  ⇑(e.linear_map_at R b) = λ y, if b ∈ e.base_set then (e ⟨b, y⟩).2 else 0 :=
 e.to_pretrivialization.coe_linear_map_at b
 
-lemma coe_linear_map_at_of_mem (e : trivialization F (π E)) [e.is_linear R] {b : B}
+lemma coe_linear_map_at_of_mem (e : trivialization F (π F E)) [e.is_linear R] {b : B}
   (hb : b ∈ e.base_set) :
-  ⇑(e.linear_map_at R b) = λ y, (e (total_space_mk b y)).2 :=
+  ⇑(e.linear_map_at R b) = λ y, (e ⟨b, y⟩).2 :=
 by simp_rw [coe_linear_map_at, if_pos hb]
 
-lemma linear_map_at_apply (e : trivialization F (π E)) [e.is_linear R] {b : B} (y : E b) :
-  e.linear_map_at R b y = if b ∈ e.base_set then (e (total_space_mk b y)).2 else 0 :=
+lemma linear_map_at_apply (e : trivialization F (π F E)) [e.is_linear R] {b : B} (y : E b) :
+  e.linear_map_at R b y = if b ∈ e.base_set then (e ⟨b, y⟩).2 else 0 :=
 by rw [coe_linear_map_at]
 
-lemma linear_map_at_def_of_mem (e : trivialization F (π E)) [e.is_linear R] {b : B}
+lemma linear_map_at_def_of_mem (e : trivialization F (π F E)) [e.is_linear R] {b : B}
   (hb : b ∈ e.base_set) :
   e.linear_map_at R b = e.linear_equiv_at R b hb :=
 dif_pos hb
 
-lemma linear_map_at_def_of_not_mem (e : trivialization F (π E)) [e.is_linear R] {b : B}
+lemma linear_map_at_def_of_not_mem (e : trivialization F (π F E)) [e.is_linear R] {b : B}
   (hb : b ∉ e.base_set) :
   e.linear_map_at R b = 0 :=
 dif_neg hb
 
-lemma symmₗ_linear_map_at (e : trivialization F (π E)) [e.is_linear R] {b : B} (hb : b ∈ e.base_set)
-  (y : E b) :
+lemma symmₗ_linear_map_at (e : trivialization F (π F E)) [e.is_linear R] {b : B}
+  (hb : b ∈ e.base_set) (y : E b) :
   e.symmₗ R b (e.linear_map_at R b y) = y :=
 e.to_pretrivialization.symmₗ_linear_map_at hb y
 
-lemma linear_map_at_symmₗ (e : trivialization F (π E)) [e.is_linear R] {b : B} (hb : b ∈ e.base_set)
-  (y : F) :
+lemma linear_map_at_symmₗ (e : trivialization F (π F E)) [e.is_linear R] {b : B}
+  (hb : b ∈ e.base_set) (y : F) :
   e.linear_map_at R b (e.symmₗ R b y) = y :=
 e.to_pretrivialization.linear_map_at_symmₗ hb y
 
@@ -252,7 +254,7 @@ variables (R)
 
 /-- A coordinate change function between two trivializations, as a continuous linear equivalence.
   Defined to be the identity when `b` does not lie in the base set of both trivializations. -/
-def coord_changeL (e e' : trivialization F (π E)) [e.is_linear R] [e'.is_linear R] (b : B) :
+def coord_changeL (e e' : trivialization F (π F E)) [e.is_linear R] [e'.is_linear R] (b : B) :
   F ≃L[R] F :=
 { continuous_to_fun := begin
     by_cases hb : b ∈ e.base_set ∩ e'.base_set,
@@ -278,19 +280,19 @@ def coord_changeL (e e' : trivialization F (π E)) [e.is_linear R] [e'.is_linear
 
 variables {R}
 
-lemma coe_coord_changeL (e e' : trivialization F (π E)) [e.is_linear R] [e'.is_linear R] {b : B}
+lemma coe_coord_changeL (e e' : trivialization F (π F E)) [e.is_linear R] [e'.is_linear R] {b : B}
   (hb : b ∈ e.base_set ∩ e'.base_set) :
   ⇑(coord_changeL R e e' b)
   = (e.linear_equiv_at R b hb.1).symm.trans (e'.linear_equiv_at R b hb.2) :=
 congr_arg linear_equiv.to_fun (dif_pos hb)
 
-lemma coe_coord_changeL' (e e' : trivialization F (π E)) [e.is_linear R] [e'.is_linear R] {b : B}
+lemma coe_coord_changeL' (e e' : trivialization F (π F E)) [e.is_linear R] [e'.is_linear R] {b : B}
   (hb : b ∈ e.base_set ∩ e'.base_set) :
   (coord_changeL R e e' b).to_linear_equiv
   = (e.linear_equiv_at R b hb.1).symm.trans (e'.linear_equiv_at R b hb.2) :=
 linear_equiv.coe_injective (coe_coord_changeL _ _ _)
 
-lemma symm_coord_changeL (e e' : trivialization F (π E)) [e.is_linear R] [e'.is_linear R] {b : B}
+lemma symm_coord_changeL (e e' : trivialization F (π F E)) [e.is_linear R] [e'.is_linear R] {b : B}
   (hb : b ∈ e'.base_set ∩ e.base_set) :
   (e.coord_changeL R e' b).symm = e'.coord_changeL R e b :=
 begin
@@ -299,14 +301,14 @@ begin
     coe_coord_changeL' e e' hb.symm, linear_equiv.trans_symm, linear_equiv.symm_symm],
 end
 
-lemma coord_changeL_apply (e e' : trivialization F (π E)) [e.is_linear R] [e'.is_linear R] {b : B}
+lemma coord_changeL_apply (e e' : trivialization F (π F E)) [e.is_linear R] [e'.is_linear R] {b : B}
   (hb : b ∈ e.base_set ∩ e'.base_set) (y : F) :
-  coord_changeL R e e' b y = (e' (total_space_mk b (e.symm b y))).2 :=
+  coord_changeL R e e' b y = (e' ⟨b, e.symm b y⟩).2 :=
 congr_arg (λ f, linear_equiv.to_fun f y) (dif_pos hb)
 
-lemma mk_coord_changeL (e e' : trivialization F (π E)) [e.is_linear R] [e'.is_linear R] {b : B}
+lemma mk_coord_changeL (e e' : trivialization F (π F E)) [e.is_linear R] [e'.is_linear R] {b : B}
   (hb : b ∈ e.base_set ∩ e'.base_set) (y : F) :
-  (b, coord_changeL R e e' b y) = e' (total_space_mk b (e.symm b y)) :=
+  (b, coord_changeL R e e' b y) = e' ⟨b, e.symm b y⟩ :=
 begin
   ext,
   { rw [e.mk_symm hb.1 y, e'.coe_fst', e.proj_symm_apply' hb.1],
@@ -314,19 +316,19 @@ begin
   { exact e.coord_changeL_apply e' hb y }
 end
 
-lemma apply_symm_apply_eq_coord_changeL (e e' : trivialization F (π E)) [e.is_linear R]
+lemma apply_symm_apply_eq_coord_changeL (e e' : trivialization F (π F E)) [e.is_linear R]
   [e'.is_linear R] {b : B} (hb : b ∈ e.base_set ∩ e'.base_set) (v : F) :
   e' (e.to_local_homeomorph.symm (b, v)) = (b, e.coord_changeL R e' b v) :=
 by rw [e.mk_coord_changeL e' hb, e.mk_symm hb.1]
 
 /-- A version of `coord_change_apply` that fully unfolds `coord_change`. The right-hand side is
 ugly, but has good definitional properties for specifically defined trivializations. -/
-lemma coord_changeL_apply' (e e' : trivialization F (π E)) [e.is_linear R] [e'.is_linear R] {b : B}
-  (hb : b ∈ e.base_set ∩ e'.base_set) (y : F) :
+lemma coord_changeL_apply' (e e' : trivialization F (π F E)) [e.is_linear R] [e'.is_linear R]
+  {b : B} (hb : b ∈ e.base_set ∩ e'.base_set) (y : F) :
   coord_changeL R e e' b y = (e' (e.to_local_homeomorph.symm (b, y))).2 :=
 by rw [e.coord_changeL_apply e' hb, e.mk_symm hb.1]
 
-lemma coord_changeL_symm_apply (e e' : trivialization F (π E)) [e.is_linear R] [e'.is_linear R]
+lemma coord_changeL_symm_apply (e e' : trivialization F (π F E)) [e.is_linear R] [e'.is_linear R]
   {b : B} (hb : b ∈ e.base_set ∩ e'.base_set) :
   ⇑(coord_changeL R e e' b).symm
   = (e'.linear_equiv_at R b hb.2).symm.trans (e.linear_equiv_at R b hb.1) :=
@@ -341,29 +343,29 @@ section
 namespace bundle
 
 /-- The zero section of a vector bundle -/
-def zero_section [∀ x, has_zero (E x)] : B → total_space E :=
-λ x, total_space_mk x 0
+def zero_section [∀ x, has_zero (E x)] : B → total_space F E :=
+λ x, ⟨x, 0⟩
 
 @[simp, mfld_simps]
-lemma zero_section_proj [∀ x, has_zero (E x)] (x : B) : (zero_section E x).proj = x := rfl
+lemma zero_section_proj [∀ x, has_zero (E x)] (x : B) : (zero_section F E x).proj = x := rfl
 @[simp, mfld_simps]
-lemma zero_section_snd [∀ x, has_zero (E x)] (x : B) : (zero_section E x).2 = 0 := rfl
+lemma zero_section_snd [∀ x, has_zero (E x)] (x : B) : (zero_section F E x).2 = 0 := rfl
 
 end bundle
 open bundle
 
 variables [nontrivially_normed_field R] [∀ x, add_comm_monoid (E x)] [∀ x, module R (E x)]
   [normed_add_comm_group F] [normed_space R F] [topological_space B]
-  [topological_space (total_space E)] [∀ x, topological_space (E x)] [fiber_bundle F E]
+  [topological_space (total_space F E)] [∀ x, topological_space (E x)] [fiber_bundle F E]
 
-/-- The space `total_space E` (for `E : B → Type*` such that each `E x` is a topological vector
+/-- The space `total_space F E` (for `E : B → Type*` such that each `E x` is a topological vector
 space) has a topological vector space structure with fiber `F` (denoted with
 `vector_bundle R F E`) if around every point there is a fiber bundle trivialization
 which is linear in the fibers. -/
 class vector_bundle : Prop :=
-(trivialization_linear' : ∀ (e : trivialization F (π E)) [mem_trivialization_atlas e],
+(trivialization_linear' : ∀ (e : trivialization F (π F E)) [mem_trivialization_atlas e],
   e.is_linear R)
-(continuous_on_coord_change' [] : ∀ (e e' : trivialization F (π E)) [mem_trivialization_atlas e]
+(continuous_on_coord_change' [] : ∀ (e e' : trivialization F (π F E)) [mem_trivialization_atlas e]
   [mem_trivialization_atlas e'],
   continuous_on
   (λ b, by exactI trivialization.coord_changeL R e e' b : B → F →L[R] F) (e.base_set ∩ e'.base_set))
@@ -371,12 +373,12 @@ class vector_bundle : Prop :=
 variables {F E}
 
 @[priority 100]
-instance trivialization_linear [vector_bundle R F E] (e : trivialization F (π E))
+instance trivialization_linear [vector_bundle R F E] (e : trivialization F (π F E))
   [mem_trivialization_atlas e] :
   e.is_linear R :=
 vector_bundle.trivialization_linear' e
 
-lemma continuous_on_coord_change [vector_bundle R F E] (e e' : trivialization F (π E))
+lemma continuous_on_coord_change [vector_bundle R F E] (e e' : trivialization F (π F E))
   [he : mem_trivialization_atlas e]
   [he' : mem_trivialization_atlas e'] :
   continuous_on
@@ -388,7 +390,7 @@ namespace trivialization
 /-- Forward map of `continuous_linear_equiv_at` (only propositionally equal),
   defined everywhere (`0` outside domain). -/
 @[simps apply {fully_applied := ff}]
-def continuous_linear_map_at (e : trivialization F (π E)) [e.is_linear R] (b : B) :
+def continuous_linear_map_at (e : trivialization F (π F E)) [e.is_linear R] (b : B) :
   E b →L[R] F :=
 { to_fun := e.linear_map_at R b, -- given explicitly to help `simps`
   cont := begin
@@ -403,7 +405,7 @@ def continuous_linear_map_at (e : trivialization F (π E)) [e.is_linear R] (b :
 
 /-- Backwards map of `continuous_linear_equiv_at`, defined everywhere. -/
 @[simps apply {fully_applied := ff}]
-def symmL (e : trivialization F (π E)) [e.is_linear R] (b : B) : F →L[R] E b :=
+def symmL (e : trivialization F (π F E)) [e.is_linear R] (b : B) : F →L[R] E b :=
 { to_fun := e.symm b, -- given explicitly to help `simps`
   cont := begin
     by_cases hb : b ∈ e.base_set,
@@ -416,12 +418,12 @@ def symmL (e : trivialization F (π E)) [e.is_linear R] (b : B) : F →L[R] E b
 
 variables {R}
 
-lemma symmL_continuous_linear_map_at (e : trivialization F (π E)) [e.is_linear R] {b : B}
+lemma symmL_continuous_linear_map_at (e : trivialization F (π F E)) [e.is_linear R] {b : B}
   (hb : b ∈ e.base_set) (y : E b) :
   e.symmL R b (e.continuous_linear_map_at R b y) = y :=
 e.symmₗ_linear_map_at hb y
 
-lemma continuous_linear_map_at_symmL (e : trivialization F (π E)) [e.is_linear R] {b : B}
+lemma continuous_linear_map_at_symmL (e : trivialization F (π F E)) [e.is_linear R] {b : B}
   (hb : b ∈ e.base_set) (y : F) :
   e.continuous_linear_map_at R b (e.symmL R b y) = y :=
 e.linear_map_at_symmₗ hb y
@@ -431,9 +433,9 @@ variables (R)
 /-- In a vector bundle, a trivialization in the fiber (which is a priori only linear)
 is in fact a continuous linear equiv between the fibers and the model fiber. -/
 @[simps apply symm_apply {fully_applied := ff}]
-def continuous_linear_equiv_at (e : trivialization F (π E)) [e.is_linear R] (b : B)
+def continuous_linear_equiv_at (e : trivialization F (π F E)) [e.is_linear R] (b : B)
   (hb : b ∈ e.base_set) : E b ≃L[R] F :=
-{ to_fun := λ y, (e (total_space_mk b y)).2, -- given explicitly to help `simps`
+{ to_fun := λ y, (e ⟨b, y⟩).2, -- given explicitly to help `simps`
   inv_fun := e.symm b, -- given explicitly to help `simps`
   continuous_to_fun := continuous_snd.comp (e.continuous_on.comp_continuous
     (fiber_bundle.total_space_mk_inducing F E b).continuous
@@ -443,24 +445,24 @@ def continuous_linear_equiv_at (e : trivialization F (π E)) [e.is_linear R] (b
 
 variables {R}
 
-lemma coe_continuous_linear_equiv_at_eq (e : trivialization F (π E)) [e.is_linear R] {b : B}
+lemma coe_continuous_linear_equiv_at_eq (e : trivialization F (π F E)) [e.is_linear R] {b : B}
   (hb : b ∈ e.base_set) :
   (e.continuous_linear_equiv_at R b hb : E b → F) = e.continuous_linear_map_at R b :=
 (e.coe_linear_map_at_of_mem hb).symm
 
-lemma symm_continuous_linear_equiv_at_eq (e : trivialization F (π E)) [e.is_linear R] {b : B}
+lemma symm_continuous_linear_equiv_at_eq (e : trivialization F (π F E)) [e.is_linear R] {b : B}
   (hb : b ∈ e.base_set) :
   ((e.continuous_linear_equiv_at R b hb).symm : F → E b) = e.symmL R b :=
 rfl
 
-@[simp] lemma continuous_linear_equiv_at_apply' (e : trivialization F (π E)) [e.is_linear R]
-  (x : total_space E) (hx : x ∈ e.source) :
+@[simp] lemma continuous_linear_equiv_at_apply' (e : trivialization F (π F E)) [e.is_linear R]
+  (x : total_space F E) (hx : x ∈ e.source) :
   e.continuous_linear_equiv_at R x.proj (e.mem_source.1 hx) x.2 = (e x).2 := by { cases x, refl }
 
 variables (R)
 
-lemma apply_eq_prod_continuous_linear_equiv_at (e : trivialization F (π E)) [e.is_linear R] (b : B)
-  (hb : b ∈ e.base_set) (z : E b) :
+lemma apply_eq_prod_continuous_linear_equiv_at (e : trivialization F (π F E)) [e.is_linear R]
+  (b : B) (hb : b ∈ e.base_set) (z : E b) :
   e ⟨b, z⟩ = (b, e.continuous_linear_equiv_at R b hb z) :=
 begin
   ext,
@@ -470,17 +472,17 @@ begin
   { simp only [coe_coe, continuous_linear_equiv_at_apply] }
 end
 
-protected lemma zero_section (e : trivialization F (π E)) [e.is_linear R]
-  {x : B} (hx : x ∈ e.base_set) : e (zero_section E x) = (x, 0) :=
-by simp_rw [zero_section, total_space_mk, e.apply_eq_prod_continuous_linear_equiv_at R x hx 0,
+protected lemma zero_section (e : trivialization F (π F E)) [e.is_linear R]
+  {x : B} (hx : x ∈ e.base_set) : e (zero_section F E x) = (x, 0) :=
+by simp_rw [zero_section, e.apply_eq_prod_continuous_linear_equiv_at R x hx 0,
   map_zero]
 
 variables {R}
 
-lemma symm_apply_eq_mk_continuous_linear_equiv_at_symm (e : trivialization F (π E)) [e.is_linear R]
-  (b : B) (hb : b ∈ e.base_set) (z : F) :
+lemma symm_apply_eq_mk_continuous_linear_equiv_at_symm (e : trivialization F (π F E))
+  [e.is_linear R] (b : B) (hb : b ∈ e.base_set) (z : F) :
   e.to_local_homeomorph.symm ⟨b, z⟩
-  = total_space_mk b ((e.continuous_linear_equiv_at R b hb).symm z) :=
+  = ⟨b, (e.continuous_linear_equiv_at R b hb).symm z⟩ :=
 begin
   have h : (b, z) ∈ e.target,
   { rw e.target_eq,
@@ -491,7 +493,7 @@ begin
     continuous_linear_equiv.apply_symm_apply],
 end
 
-lemma comp_continuous_linear_equiv_at_eq_coord_change (e e' : trivialization F (π E))
+lemma comp_continuous_linear_equiv_at_eq_coord_change (e e' : trivialization F (π F E))
   [e.is_linear R] [e'.is_linear R] {b : B} (hb : b ∈ e.base_set ∩ e'.base_set) :
   (e.continuous_linear_equiv_at R b hb.1).symm.trans (e'.continuous_linear_equiv_at R b hb.2)
   = coord_changeL R e e' b :=
@@ -578,13 +580,12 @@ instance add_comm_group_fiber [add_comm_group F] : ∀ (x : B), add_comm_group (
 by dsimp [vector_bundle_core.fiber];  delta_instance fiber_bundle_core.fiber
 
 /-- The projection from the total space of a fiber bundle core, on its base. -/
-@[reducible, simp, mfld_simps] protected def proj : total_space Z.fiber → B := total_space.proj
+@[reducible, simp, mfld_simps] protected def proj : total_space F Z.fiber → B := total_space.proj
 
 /-- The total space of the vector bundle, as a convenience function for dot notation.
-It is by definition equal to `bundle.total_space Z.fiber`, a.k.a. `Σ x, Z.fiber x` but with a
-different name for typeclass inference. -/
+It is by definition equal to `bundle.total_space Z.fiber`. -/
 @[nolint unused_arguments, reducible]
-protected def total_space := bundle.total_space Z.fiber
+protected def total_space := bundle.total_space F Z.fiber
 
 /-- Local homeomorphism version of the trivialization change. -/
 def triv_change (i j : ι) : local_homeomorph (B × F) (B × F) :=
@@ -606,7 +607,7 @@ variables (b : B) (a : F)
 
 /-- One of the standard local trivializations of a vector bundle constructed from core, taken by
 considering this in particular as a fiber bundle constructed from core. -/
-def local_triv (i : ι) : trivialization F (π Z.fiber) :=
+def local_triv (i : ι) : trivialization F (π F Z.fiber) :=
 by dsimp [vector_bundle_core.total_space, vector_bundle_core.fiber];
   exact Z.to_fiber_bundle_core.local_triv i
 
@@ -650,7 +651,7 @@ end
 
 /-- Preferred local trivialization of a vector bundle constructed from core, at a given point, as
 a bundle trivialization -/
-def local_triv_at (b : B) : trivialization F (π Z.fiber) :=
+def local_triv_at (b : B) : trivialization F (π F Z.fiber) :=
 Z.local_triv (Z.index_at b)
 
 @[simp, mfld_simps] lemma local_triv_at_def :
@@ -750,17 +751,17 @@ This makes it inconvenient to explicitly define a `coord_change` function when c
 `vector_prebundle`. -/
 @[nolint has_nonempty_instance]
 structure vector_prebundle :=
-(pretrivialization_atlas : set (pretrivialization F (π E)))
-(pretrivialization_linear' : ∀ (e : pretrivialization F (π E)) (he : e ∈ pretrivialization_atlas),
+(pretrivialization_atlas : set (pretrivialization F (π F E)))
+(pretrivialization_linear' : ∀ (e : pretrivialization F (π F E)) (he : e ∈ pretrivialization_atlas),
   e.is_linear R)
-(pretrivialization_at : B → pretrivialization F (π E))
+(pretrivialization_at : B → pretrivialization F (π F E))
 (mem_base_pretrivialization_at : ∀ x : B, x ∈ (pretrivialization_at x).base_set)
 (pretrivialization_mem_atlas : ∀ x : B, pretrivialization_at x ∈ pretrivialization_atlas)
 (exists_coord_change : ∀ (e e' ∈ pretrivialization_atlas), ∃ f : B → F →L[R] F,
   continuous_on f (e.base_set ∩ e'.base_set) ∧
   ∀ (b : B) (hb : b ∈ e.base_set ∩ e'.base_set) (v : F),
-    f b v = (e' (total_space_mk b (e.symm b v))).2)
-(total_space_mk_inducing : ∀ (b : B), inducing ((pretrivialization_at b) ∘ (total_space_mk b)))
+    f b v = (e' ⟨b, e.symm b v⟩).2)
+(total_space_mk_inducing : ∀ (b : B), inducing ((pretrivialization_at b) ∘ (total_space.mk b)))
 
 namespace vector_prebundle
 
@@ -769,26 +770,26 @@ variables {R E F}
 /-- A randomly chosen coordinate change on a `vector_prebundle`, given by
   the field `exists_coord_change`. -/
 def coord_change (a : vector_prebundle R F E)
-  {e e' : pretrivialization F (π E)} (he : e ∈ a.pretrivialization_atlas)
+  {e e' : pretrivialization F (π F E)} (he : e ∈ a.pretrivialization_atlas)
   (he' : e' ∈ a.pretrivialization_atlas) (b : B) : F →L[R] F :=
 classical.some (a.exists_coord_change e he e' he') b
 
 lemma continuous_on_coord_change (a : vector_prebundle R F E)
-  {e e' : pretrivialization F (π E)} (he : e ∈ a.pretrivialization_atlas)
+  {e e' : pretrivialization F (π F E)} (he : e ∈ a.pretrivialization_atlas)
   (he' : e' ∈ a.pretrivialization_atlas) :
   continuous_on (a.coord_change he he') (e.base_set ∩ e'.base_set) :=
 (classical.some_spec (a.exists_coord_change e he e' he')).1
 
 lemma coord_change_apply (a : vector_prebundle R F E)
-  {e e' : pretrivialization F (π E)} (he : e ∈ a.pretrivialization_atlas)
+  {e e' : pretrivialization F (π F E)} (he : e ∈ a.pretrivialization_atlas)
   (he' : e' ∈ a.pretrivialization_atlas) {b : B} (hb : b ∈ e.base_set ∩ e'.base_set) (v : F) :
-  a.coord_change he he' b v = (e' (total_space_mk b (e.symm b v))).2 :=
+  a.coord_change he he' b v = (e' ⟨b, e.symm b v⟩).2 :=
 (classical.some_spec (a.exists_coord_change e he e' he')).2 b hb v
 
 lemma mk_coord_change (a : vector_prebundle R F E)
-  {e e' : pretrivialization F (π E)} (he : e ∈ a.pretrivialization_atlas)
+  {e e' : pretrivialization F (π F E)} (he : e ∈ a.pretrivialization_atlas)
   (he' : e' ∈ a.pretrivialization_atlas) {b : B} (hb : b ∈ e.base_set ∩ e'.base_set) (v : F) :
-  (b, a.coord_change he he' b v) = e' (total_space_mk b (e.symm b v)) :=
+  (b, a.coord_change he he' b v) = e' ⟨b, e.symm b v⟩ :=
 begin
   ext,
   { rw [e.mk_symm hb.1 v, e'.coe_fst', e.proj_symm_apply' hb.1],
@@ -820,18 +821,18 @@ def to_fiber_prebundle (a : vector_prebundle R F E) :
 
 /-- Topology on the total space that will make the prebundle into a bundle. -/
 def total_space_topology (a : vector_prebundle R F E) :
-  topological_space (total_space E) :=
+  topological_space (total_space F E) :=
 a.to_fiber_prebundle.total_space_topology
 
 /-- Promotion from a `trivialization` in the `pretrivialization_atlas` of a
 `vector_prebundle` to a `trivialization`. -/
 def trivialization_of_mem_pretrivialization_atlas (a : vector_prebundle R F E)
-  {e : pretrivialization F (π E)} (he : e ∈ a.pretrivialization_atlas) :
-  @trivialization B F _ _ _ a.total_space_topology (π E) :=
+  {e : pretrivialization F (π F E)} (he : e ∈ a.pretrivialization_atlas) :
+  @trivialization B F _ _ _ a.total_space_topology (π F E) :=
 a.to_fiber_prebundle.trivialization_of_mem_pretrivialization_atlas he
 
 lemma linear_of_mem_pretrivialization_atlas (a : vector_prebundle R F E)
-  {e : pretrivialization F (π E)} (he : e ∈ a.pretrivialization_atlas) :
+  {e : pretrivialization F (π F E)} (he : e ∈ a.pretrivialization_atlas) :
   @trivialization.is_linear R B F _ _ _ _ a.total_space_topology _ _ _ _
     (trivialization_of_mem_pretrivialization_atlas a he) :=
 { linear := (a.pretrivialization_linear' e he).linear }
@@ -839,15 +840,15 @@ lemma linear_of_mem_pretrivialization_atlas (a : vector_prebundle R F E)
 variable (a : vector_prebundle R F E)
 
 lemma mem_trivialization_at_source (b : B) (x : E b) :
-  total_space_mk b x ∈ (a.pretrivialization_at b).source :=
+  total_space.mk b x ∈ (a.pretrivialization_at b).source :=
 a.to_fiber_prebundle.mem_trivialization_at_source b x
 
 @[simp] lemma total_space_mk_preimage_source (b : B) :
-  (total_space_mk b) ⁻¹' (a.pretrivialization_at b).source = univ :=
+  (total_space.mk b) ⁻¹' (a.pretrivialization_at b).source = univ :=
 a.to_fiber_prebundle.total_space_mk_preimage_source b
 
 @[continuity] lemma continuous_total_space_mk (b : B) :
-  @continuous _ _ _ a.total_space_topology (total_space_mk b) :=
+  @continuous _ _ _ a.total_space_topology (total_space.mk b) :=
 a.to_fiber_prebundle.continuous_total_space_mk b
 
 /-- Make a `fiber_bundle` from a `vector_prebundle`; auxiliary construction for
@@ -884,10 +885,10 @@ variables {𝕜₁ 𝕜₂ : Type*} [nontrivially_normed_field 𝕜₁] [nontriv
 variables {σ : 𝕜₁ →+* 𝕜₂}
 variables {B' : Type*} [topological_space B']
 
-variables [normed_space 𝕜₁ F] [Π x, module 𝕜₁ (E x)] [topological_space (total_space E)]
+variables [normed_space 𝕜₁ F] [Π x, module 𝕜₁ (E x)] [topological_space (total_space F E)]
 variables {F' : Type*} [normed_add_comm_group F'] [normed_space 𝕜₂ F']
   {E' : B' → Type*} [Π x, add_comm_monoid (E' x)] [Π x, module 𝕜₂ (E' x)]
-  [topological_space (total_space E')]
+  [topological_space (total_space F' E')]
 variables [fiber_bundle F E] [vector_bundle 𝕜₁ F E]
 variables [Π x, topological_space (E' x)] [fiber_bundle F' E'] [vector_bundle 𝕜₂ F' E']
 variables (F E F' E')

refactor(topology/vector_bundle/hom): fibres of hom-bundle carry strong topology (#19107)

Currently, the "hom-bundle" between two vector bundles E₁ and E₂ has fibre over x which is a type synonym of E₁ x →SL[σ] E₂ x, but which carries a topology produced by the hom-bundle construction (using the identification by trivializations withe the model fibre F₁ →SL[σ] F₂). This was needed when this bundle was made (#14541) because at that time, F₁ →SL[σ] F₂ (continuous linear maps between normed spaces) carried a topology in mathlib but E₁ x →SL[σ] E₂ x (continuous linear maps between topological vector spaces) did not.

As of #16053, continuous linear maps between topological vector spaces do carry a topology, the strong topology. So we can kill the old topology on the type synonym and just use the default one, which should avoid annoying issues later.

A few minor changes are needed to make this go through:

we revert #14377: the question is whether the "vector prebundle" construction, whose canonical use is for the hom-bundle, should or should not require a topology on the fibres. Now that in applications it could happen either way (fibres do or don't come with a topology), it will be more convenient to assume that they do carry a topology, and put the "artificial" topology on the fibres if they happen to not.
some assumptions need to change from [add_comm_monoid] to [add_comm_group], this is mathematically harmless since they are also modules over a field.
generalize the construction continuous_linear_equiv.arrow_congrSL from normed spaces to topological vector spaces

Co-authored-by: Moritz Doll <moritz.doll@googlemail.com> Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com>

Diff

@@ -733,7 +733,7 @@ end
 
 section
 variables [nontrivially_normed_field R] [∀ x, add_comm_monoid (E x)] [∀ x, module R (E x)]
-  [normed_add_comm_group F] [normed_space R F] [topological_space B]
+  [normed_add_comm_group F] [normed_space R F] [topological_space B] [∀ x, topological_space (E x)]
 
 open topological_space
 
@@ -760,6 +760,7 @@ structure vector_prebundle :=
   continuous_on f (e.base_set ∩ e'.base_set) ∧
   ∀ (b : B) (hb : b ∈ e.base_set ∩ e'.base_set) (v : F),
     f b v = (e' (total_space_mk b (e.symm b v))).2)
+(total_space_mk_inducing : ∀ (b : B), inducing ((pretrivialization_at b) ∘ (total_space_mk b)))
 
 namespace vector_prebundle
 
@@ -845,21 +846,13 @@ a.to_fiber_prebundle.mem_trivialization_at_source b x
   (total_space_mk b) ⁻¹' (a.pretrivialization_at b).source = univ :=
 a.to_fiber_prebundle.total_space_mk_preimage_source b
 
-/-- Topology on the fibers `E b` induced by the map `E b → E.total_space`. -/
-def fiber_topology (b : B) : topological_space (E b) :=
-a.to_fiber_prebundle.fiber_topology b
-
-@[continuity] lemma inducing_total_space_mk (b : B) :
-  @inducing _ _ (a.fiber_topology b) a.total_space_topology (total_space_mk b) :=
-a.to_fiber_prebundle.inducing_total_space_mk b
-
 @[continuity] lemma continuous_total_space_mk (b : B) :
-  @continuous _ _ (a.fiber_topology b) a.total_space_topology (total_space_mk b) :=
+  @continuous _ _ _ a.total_space_topology (total_space_mk b) :=
 a.to_fiber_prebundle.continuous_total_space_mk b
 
 /-- Make a `fiber_bundle` from a `vector_prebundle`; auxiliary construction for
 `vector_prebundle.vector_bundle`. -/
-def to_fiber_bundle : @fiber_bundle B F _ _ _ a.total_space_topology a.fiber_topology :=
+def to_fiber_bundle : @fiber_bundle B F _ _ _ a.total_space_topology _ :=
 a.to_fiber_prebundle.to_fiber_bundle
 
 /-- Make a `vector_bundle` from a `vector_prebundle`.  Concretely this means
@@ -869,7 +862,7 @@ establishes that for the topology constructed on the sigma-type using
 `vector_prebundle.total_space_topology`, these "pretrivializations" are actually
 "trivializations" (i.e., homeomorphisms with respect to the constructed topology). -/
 lemma to_vector_bundle :
-  @vector_bundle R _ F E _ _ _ _ _ _ a.total_space_topology a.fiber_topology a.to_fiber_bundle :=
+  @vector_bundle R _ F E _ _ _ _ _ _ a.total_space_topology _ a.to_fiber_bundle :=
 { trivialization_linear' := begin
     rintros _ ⟨e, he, rfl⟩,
     apply linear_of_mem_pretrivialization_atlas,
@@ -895,7 +888,7 @@ variables [normed_space 𝕜₁ F] [Π x, module 𝕜₁ (E x)] [topological_spa
 variables {F' : Type*} [normed_add_comm_group F'] [normed_space 𝕜₂ F']
   {E' : B' → Type*} [Π x, add_comm_monoid (E' x)] [Π x, module 𝕜₂ (E' x)]
   [topological_space (total_space E')]
-variables [Π x, topological_space (E x)] [fiber_bundle F E] [vector_bundle 𝕜₁ F E]
+variables [fiber_bundle F E] [vector_bundle 𝕜₁ F E]
 variables [Π x, topological_space (E' x)] [fiber_bundle F' E'] [vector_bundle 𝕜₂ F' E']
 variables (F E F' E')

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -1043,7 +1043,7 @@ open TopologicalSpace
 open VectorBundle
 
 #print VectorPrebundle /-
-/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (e e' «expr ∈ » pretrivialization_atlas) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:642:2: warning: expanding binder collection (e e' «expr ∈ » pretrivialization_atlas) -/
 /-- This structure permits to define a vector bundle when trivializations are given as local
 equivalences but there is not yet a topology on the total space or the fibers.
 The total space is hence given a topology in such a way that there is a fiber bundle structure for

bump to nightly-2024-02-05-08

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

516c6ec2

Diff

@@ -469,7 +469,7 @@ variable [NontriviallyNormedField R] [∀ x, AddCommMonoid (E x)] [∀ x, Module
   [∀ x, TopologicalSpace (E x)] [FiberBundle F E]
 
 #print VectorBundle /-
-/- ./././Mathport/Syntax/Translate/Command.lean:404:30: infer kinds are unsupported in Lean 4: #[`continuousOn_coord_change'] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:400:30: infer kinds are unsupported in Lean 4: #[`continuousOn_coord_change'] [] -/
 /-- The space `total_space F E` (for `E : B → Type*` such that each `E x` is a topological vector
 space) has a topological vector space structure with fiber `F` (denoted with
 `vector_bundle R F E`) if around every point there is a fiber bundle trivialization

bump to nightly-2023-12-23-06

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

b8c74971

Diff

@@ -469,7 +469,7 @@ variable [NontriviallyNormedField R] [∀ x, AddCommMonoid (E x)] [∀ x, Module
   [∀ x, TopologicalSpace (E x)] [FiberBundle F E]
 
 #print VectorBundle /-
-/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`continuousOn_coord_change'] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:404:30: infer kinds are unsupported in Lean 4: #[`continuousOn_coord_change'] [] -/
 /-- The space `total_space F E` (for `E : B → Type*` such that each `E x` is a topological vector
 space) has a topological vector space structure with fiber `F` (denoted with
 `vector_bundle R F E`) if around every point there is a fiber bundle trivialization

bump to nightly-2023-12-13-12

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

19154cfe

Diff

@@ -408,7 +408,7 @@ theorem mk_coordChangeL (e e' : Trivialization F (π F E)) [e.isLinear R] [e'.is
 #print Trivialization.apply_symm_apply_eq_coordChangeL /-
 theorem apply_symm_apply_eq_coordChangeL (e e' : Trivialization F (π F E)) [e.isLinear R]
     [e'.isLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
-    e' (e.toLocalHomeomorph.symm (b, v)) = (b, e.coordChangeL R e' b v) := by
+    e' (e.toPartialHomeomorph.symm (b, v)) = (b, e.coordChangeL R e' b v) := by
   rw [e.mk_coord_changeL e' hb, e.mk_symm hb.1]
 #align trivialization.apply_symm_apply_eq_coord_changeL Trivialization.apply_symm_apply_eq_coordChangeL
 -/
@@ -418,7 +418,7 @@ theorem apply_symm_apply_eq_coordChangeL (e e' : Trivialization F (π F E)) [e.i
 ugly, but has good definitional properties for specifically defined trivializations. -/
 theorem coordChangeL_apply' (e e' : Trivialization F (π F E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) :
-    coordChangeL R e e' b y = (e' (e.toLocalHomeomorph.symm (b, y))).2 := by
+    coordChangeL R e e' b y = (e' (e.toPartialHomeomorph.symm (b, y))).2 := by
   rw [e.coord_changeL_apply e' hb, e.mk_symm hb.1]
 #align trivialization.coord_changeL_apply' Trivialization.coordChangeL_apply'
 -/
@@ -630,7 +630,7 @@ variable {R}
 #print Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm /-
 theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π F E)) [e.isLinear R]
     (b : B) (hb : b ∈ e.baseSet) (z : F) :
-    e.toLocalHomeomorph.symm ⟨b, z⟩ = ⟨b, (e.continuousLinearEquivAt R b hb).symm z⟩ :=
+    e.toPartialHomeomorph.symm ⟨b, z⟩ = ⟨b, (e.continuousLinearEquivAt R b hb).symm z⟩ :=
   by
   have h : (b, z) ∈ e.target := by
     rw [e.target_eq]
@@ -790,7 +790,7 @@ protected def TotalSpace :=
 
 #print VectorBundleCore.trivChange /-
 /-- Local homeomorphism version of the trivialization change. -/
-def trivChange (i j : ι) : LocalHomeomorph (B × F) (B × F) :=
+def trivChange (i j : ι) : PartialHomeomorph (B × F) (B × F) :=
   FiberBundleCore.trivChange (↑Z) i j
 #align vector_bundle_core.triv_change VectorBundleCore.trivChange
 -/
@@ -875,7 +875,7 @@ theorem mem_localTriv_target (p : B × F) :
 #print VectorBundleCore.localTriv_symm_fst /-
 @[simp, mfld_simps]
 theorem localTriv_symm_fst (p : B × F) :
-    (Z.localTriv i).toLocalHomeomorph.symm p = ⟨p.1, Z.coordChange i (Z.indexAt p.1) p.1 p.2⟩ :=
+    (Z.localTriv i).toPartialHomeomorph.symm p = ⟨p.1, Z.coordChange i (Z.indexAt p.1) p.1 p.2⟩ :=
   rfl
 #align vector_bundle_core.local_triv_symm_fst VectorBundleCore.localTriv_symm_fst
 -/

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -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, Sebastien Gouezel, Heather Macbeth, Patrick Massot, Floris van Doorn
 -/
-import Mathbin.Analysis.NormedSpace.BoundedLinearMaps
-import Mathbin.Topology.FiberBundle.Basic
+import Analysis.NormedSpace.BoundedLinearMaps
+import Topology.FiberBundle.Basic
 
 #align_import topology.vector_bundle.basic from "leanprover-community/mathlib"@"e473c3198bb41f68560cab68a0529c854b618833"
 
@@ -469,7 +469,7 @@ variable [NontriviallyNormedField R] [∀ x, AddCommMonoid (E x)] [∀ x, Module
   [∀ x, TopologicalSpace (E x)] [FiberBundle F E]
 
 #print VectorBundle /-
-/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`continuousOn_coord_change'] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`continuousOn_coord_change'] [] -/
 /-- The space `total_space F E` (for `E : B → Type*` such that each `E x` is a topological vector
 space) has a topological vector space structure with fiber `F` (denoted with
 `vector_bundle R F E`) if around every point there is a fiber bundle trivialization
@@ -1043,7 +1043,7 @@ open TopologicalSpace
 open VectorBundle
 
 #print VectorPrebundle /-
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (e e' «expr ∈ » pretrivialization_atlas) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (e e' «expr ∈ » pretrivialization_atlas) -/
 /-- This structure permits to define a vector bundle when trivializations are given as local
 equivalences but there is not yet a topology on the total space or the fibers.
 The total space is hence given a topology in such a way that there is a fiber bundle structure for

bump to nightly-2023-09-07-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/442a83d738cb208d3600056c489be16900ba701d

8e36d9f9

Diff

@@ -707,7 +707,7 @@ def toFiberBundleCore : FiberBundleCore ι B F :=
   { Z with
     coordChange := fun i j b => Z.coordChange i j b
     continuousOn_coordChange := fun i j =>
-      isBoundedBilinearMapApply.Continuous.comp_continuousOn
+      isBoundedBilinearMap_apply.Continuous.comp_continuousOn
         ((Z.continuousOn_coordChange i j).Prod_map continuousOn_id) }
 #align vector_bundle_core.to_fiber_bundle_core VectorBundleCore.toFiberBundleCore
 -/

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -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, Sebastien Gouezel, Heather Macbeth, Patrick Massot, Floris van Doorn
-
-! This file was ported from Lean 3 source module topology.vector_bundle.basic
-! leanprover-community/mathlib commit e473c3198bb41f68560cab68a0529c854b618833
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.NormedSpace.BoundedLinearMaps
 import Mathbin.Topology.FiberBundle.Basic
 
+#align_import topology.vector_bundle.basic from "leanprover-community/mathlib"@"e473c3198bb41f68560cab68a0529c854b618833"
+
 /-!
 # Vector bundles
 
@@ -1046,7 +1043,7 @@ open TopologicalSpace
 open VectorBundle
 
 #print VectorPrebundle /-
-/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (e e' «expr ∈ » pretrivialization_atlas) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (e e' «expr ∈ » pretrivialization_atlas) -/
 /-- This structure permits to define a vector bundle when trivializations are given as local
 equivalences but there is not yet a topology on the total space or the fibers.
 The total space is hence given a topology in such a way that there is a fiber bundle structure for

bump to nightly-2023-07-06-11

mathlib commit https://github.com/leanprover-community/mathlib/commit/5dc6092d09e5e489106865241986f7f2ad28d4c8

a2f50eda

Diff

@@ -809,7 +809,7 @@ theorem mem_trivChange_source (i j : ι) (p : B × F) :
 #print VectorBundleCore.toTopologicalSpace /-
 /-- Topological structure on the total space of a vector bundle created from core, designed so
 that all the local trivialization are continuous. -/
-instance toTopologicalSpace : TopologicalSpace Z.TotalSpaceₓ :=
+instance toTopologicalSpace : TopologicalSpace Z.TotalSpace :=
   Z.toFiberBundleCore.toTopologicalSpace
 #align vector_bundle_core.to_topological_space VectorBundleCore.toTopologicalSpace
 -/
@@ -847,7 +847,7 @@ variable (i j : ι)
 
 #print VectorBundleCore.mem_localTriv_source /-
 @[simp, mfld_simps]
-theorem mem_localTriv_source (p : Z.TotalSpaceₓ) : p ∈ (Z.localTriv i).source ↔ p.1 ∈ Z.baseSet i :=
+theorem mem_localTriv_source (p : Z.TotalSpace) : p ∈ (Z.localTriv i).source ↔ p.1 ∈ Z.baseSet i :=
   by dsimp [VectorBundleCore.Fiber] <;> exact Iff.rfl
 #align vector_bundle_core.mem_local_triv_source VectorBundleCore.mem_localTriv_source
 -/
@@ -861,7 +861,7 @@ theorem baseSet_at : Z.baseSet i = (Z.localTriv i).baseSet :=
 
 #print VectorBundleCore.localTriv_apply /-
 @[simp, mfld_simps]
-theorem localTriv_apply (p : Z.TotalSpaceₓ) :
+theorem localTriv_apply (p : Z.TotalSpace) :
     (Z.localTriv i) p = ⟨p.1, Z.coordChange (Z.indexAt p.1) i p.1 p.2⟩ :=
   rfl
 #align vector_bundle_core.local_triv_apply VectorBundleCore.localTriv_apply
@@ -918,14 +918,14 @@ theorem localTrivAt_def : Z.localTriv (Z.indexAt b) = Z.localTrivAt b :=
 
 #print VectorBundleCore.mem_source_at /-
 @[simp, mfld_simps]
-theorem mem_source_at : (⟨b, a⟩ : Z.TotalSpaceₓ) ∈ (Z.localTrivAt b).source := by
+theorem mem_source_at : (⟨b, a⟩ : Z.TotalSpace) ∈ (Z.localTrivAt b).source := by
   rw [local_triv_at, mem_local_triv_source]; exact Z.mem_base_set_at b
 #align vector_bundle_core.mem_source_at VectorBundleCore.mem_source_at
 -/
 
 #print VectorBundleCore.localTrivAt_apply /-
 @[simp, mfld_simps]
-theorem localTrivAt_apply (p : Z.TotalSpaceₓ) : (Z.localTrivAt p.1) p = ⟨p.1, p.2⟩ :=
+theorem localTrivAt_apply (p : Z.TotalSpace) : (Z.localTrivAt p.1) p = ⟨p.1, p.2⟩ :=
   FiberBundleCore.localTrivAt_apply Z p
 #align vector_bundle_core.local_triv_at_apply VectorBundleCore.localTrivAt_apply
 -/
@@ -1070,7 +1070,7 @@ structure VectorPrebundle where
       ∃ f : B → F →L[R] F,
         ContinuousOn f (e.baseSet ∩ e'.baseSet) ∧
           ∀ (b : B) (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F), f b v = (e' ⟨b, e.symm b v⟩).2
-  totalSpaceₓ_mk_inducing : ∀ b : B, Inducing (pretrivialization_at b ∘ TotalSpace.mk b)
+  totalSpace_mk_inducing : ∀ b : B, Inducing (pretrivialization_at b ∘ TotalSpace.mk b)
 #align vector_prebundle VectorPrebundle
 -/

bump to nightly-2023-07-04-01

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

05318d71

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri, Sebastien Gouezel, Heather Macbeth, Patrick Massot, Floris van Doorn
 
 ! This file was ported from Lean 3 source module topology.vector_bundle.basic
-! leanprover-community/mathlib commit f7ebde7ee0d1505dfccac8644ae12371aa3c1c9f
+! leanprover-community/mathlib commit e473c3198bb41f68560cab68a0529c854b618833
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -23,7 +23,7 @@ Let `B` be the base space, let `F` be a normed space over a normed field `R`, an
 `E : B → Type*` be a `fiber_bundle` with fiber `F`, in which, for each `x`, the fiber `E x` is a
 topological vector space over `R`.
 
-To have a vector bundle structure on `bundle.total_space E`, one should additionally have the
+To have a vector bundle structure on `bundle.total_space F E`, one should additionally have the
 following properties:
 
 * The bundle trivializations in the trivialization atlas should be continuous linear equivs in the
@@ -77,19 +77,18 @@ variable {B F E} [Semiring R] [TopologicalSpace F] [TopologicalSpace B]
 /-- A mixin class for `pretrivialization`, stating that a pretrivialization is fiberwise linear with
 respect to given module structures on its fibers and the model fiber. -/
 protected class Pretrivialization.IsLinear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
-    [∀ x, Module R (E x)] (e : Pretrivialization F (π E)) : Prop where
-  linear : ∀ b ∈ e.baseSet, IsLinearMap R fun x : E b => (e (totalSpaceMk b x)).2
+    [∀ x, Module R (E x)] (e : Pretrivialization F (π F E)) : Prop where
+  linear : ∀ b ∈ e.baseSet, IsLinearMap R fun x : E b => (e ⟨b, x⟩).2
 #align pretrivialization.is_linear Pretrivialization.IsLinear
 -/
 
 namespace Pretrivialization
 
-variable {F E} (e : Pretrivialization F (π E)) {x : TotalSpace E} {b : B} {y : E b}
+variable {F E} (e : Pretrivialization F (π F E)) {x : TotalSpace F E} {b : B} {y : E b}
 
 #print Pretrivialization.linear /-
 theorem linear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)] [∀ x, Module R (E x)]
-    [e.isLinear R] {b : B} (hb : b ∈ e.baseSet) :
-    IsLinearMap R fun x : E b => (e (totalSpaceMk b x)).2 :=
+    [e.isLinear R] {b : B} (hb : b ∈ e.baseSet) : IsLinearMap R fun x : E b => (e ⟨b, x⟩).2 :=
   Pretrivialization.IsLinear.linear b hb
 #align pretrivialization.linear Pretrivialization.linear
 -/
@@ -99,7 +98,7 @@ variable [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)] [∀ x, Mod
 #print Pretrivialization.symmₗ /-
 /-- A fiberwise linear inverse to `e`. -/
 @[simps]
-protected def symmₗ (e : Pretrivialization F (π E)) [e.isLinear R] (b : B) : F →ₗ[R] E b :=
+protected def symmₗ (e : Pretrivialization F (π F E)) [e.isLinear R] (b : B) : F →ₗ[R] E b :=
   by
   refine' IsLinearMap.mk' (e.symm b) _
   by_cases hb : b ∈ e.base_set
@@ -115,9 +114,9 @@ protected def symmₗ (e : Pretrivialization F (π E)) [e.isLinear R] (b : B) :
 /-- A pretrivialization for a vector bundle defines linear equivalences between the
 fibers and the model space. -/
 @[simps (config := { fullyApplied := false })]
-def linearEquivAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B) (hb : b ∈ e.baseSet) :
+def linearEquivAt (e : Pretrivialization F (π F E)) [e.isLinear R] (b : B) (hb : b ∈ e.baseSet) :
     E b ≃ₗ[R] F where
-  toFun y := (e (totalSpaceMk b y)).2
+  toFun y := (e ⟨b, y⟩).2
   invFun := e.symm b
   left_inv := e.symm_apply_apply_mk hb
   right_inv v := by simp_rw [e.apply_mk_symm hb v]
@@ -128,7 +127,7 @@ def linearEquivAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B) (hb :
 
 #print Pretrivialization.linearMapAt /-
 /-- A fiberwise linear map equal to `e` on `e.base_set`. -/
-protected def linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B) : E b →ₗ[R] F :=
+protected def linearMapAt (e : Pretrivialization F (π F E)) [e.isLinear R] (b : B) : E b →ₗ[R] F :=
   if hb : b ∈ e.baseSet then e.linearEquivAt R b hb else 0
 #align pretrivialization.linear_map_at Pretrivialization.linearMapAt
 -/
@@ -136,56 +135,55 @@ protected def linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B
 variable {R}
 
 #print Pretrivialization.coe_linearMapAt /-
-theorem coe_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B) :
-    ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
+theorem coe_linearMapAt (e : Pretrivialization F (π F E)) [e.isLinear R] (b : B) :
+    ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e ⟨b, y⟩).2 else 0 := by
   rw [Pretrivialization.linearMapAt]; split_ifs <;> rfl
 #align pretrivialization.coe_linear_map_at Pretrivialization.coe_linearMapAt
 -/
 
 #print Pretrivialization.coe_linearMapAt_of_mem /-
-theorem coe_linearMapAt_of_mem (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
-    (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e (totalSpaceMk b y)).2 := by
+theorem coe_linearMapAt_of_mem (e : Pretrivialization F (π F E)) [e.isLinear R] {b : B}
+    (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e ⟨b, y⟩).2 := by
   simp_rw [coe_linear_map_at, if_pos hb]
 #align pretrivialization.coe_linear_map_at_of_mem Pretrivialization.coe_linearMapAt_of_mem
 -/
 
 #print Pretrivialization.linearMapAt_apply /-
-theorem linearMapAt_apply (e : Pretrivialization F (π E)) [e.isLinear R] {b : B} (y : E b) :
-    e.linearMapAt R b y = if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
-  rw [coe_linear_map_at]
+theorem linearMapAt_apply (e : Pretrivialization F (π F E)) [e.isLinear R] {b : B} (y : E b) :
+    e.linearMapAt R b y = if b ∈ e.baseSet then (e ⟨b, y⟩).2 else 0 := by rw [coe_linear_map_at]
 #align pretrivialization.linear_map_at_apply Pretrivialization.linearMapAt_apply
 -/
 
 #print Pretrivialization.linearMapAt_def_of_mem /-
-theorem linearMapAt_def_of_mem (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
+theorem linearMapAt_def_of_mem (e : Pretrivialization F (π F E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : e.linearMapAt R b = e.linearEquivAt R b hb :=
   dif_pos hb
 #align pretrivialization.linear_map_at_def_of_mem Pretrivialization.linearMapAt_def_of_mem
 -/
 
 #print Pretrivialization.linearMapAt_def_of_not_mem /-
-theorem linearMapAt_def_of_not_mem (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
+theorem linearMapAt_def_of_not_mem (e : Pretrivialization F (π F E)) [e.isLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
   dif_neg hb
 #align pretrivialization.linear_map_at_def_of_not_mem Pretrivialization.linearMapAt_def_of_not_mem
 -/
 
 #print Pretrivialization.linearMapAt_eq_zero /-
-theorem linearMapAt_eq_zero (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
+theorem linearMapAt_eq_zero (e : Pretrivialization F (π F E)) [e.isLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
   dif_neg hb
 #align pretrivialization.linear_map_at_eq_zero Pretrivialization.linearMapAt_eq_zero
 -/
 
 #print Pretrivialization.symmₗ_linearMapAt /-
-theorem symmₗ_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
+theorem symmₗ_linearMapAt (e : Pretrivialization F (π F E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : E b) : e.symmₗ R b (e.linearMapAt R b y) = y := by
   rw [e.linear_map_at_def_of_mem hb]; exact (e.linear_equiv_at R b hb).left_inv y
 #align pretrivialization.symmₗ_linear_map_at Pretrivialization.symmₗ_linearMapAt
 -/
 
 #print Pretrivialization.linearMapAt_symmₗ /-
-theorem linearMapAt_symmₗ (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
+theorem linearMapAt_symmₗ (e : Pretrivialization F (π F E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : F) : e.linearMapAt R b (e.symmₗ R b y) = y := by
   rw [e.linear_map_at_def_of_mem hb]; exact (e.linear_equiv_at R b hb).right_inv y
 #align pretrivialization.linear_map_at_symmₗ Pretrivialization.linearMapAt_symmₗ
@@ -193,25 +191,25 @@ theorem linearMapAt_symmₗ (e : Pretrivialization F (π E)) [e.isLinear R] {b :
 
 end Pretrivialization
 
-variable (R) [TopologicalSpace (TotalSpace E)]
+variable (R) [TopologicalSpace (TotalSpace F E)]
 
 #print Trivialization.IsLinear /-
 /-- A mixin class for `trivialization`, stating that a trivialization is fiberwise linear with
 respect to given module structures on its fibers and the model fiber. -/
 protected class Trivialization.IsLinear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
-    [∀ x, Module R (E x)] (e : Trivialization F (π E)) : Prop where
-  linear : ∀ b ∈ e.baseSet, IsLinearMap R fun x : E b => (e (totalSpaceMk b x)).2
+    [∀ x, Module R (E x)] (e : Trivialization F (π F E)) : Prop where
+  linear : ∀ b ∈ e.baseSet, IsLinearMap R fun x : E b => (e ⟨b, x⟩).2
 #align trivialization.is_linear Trivialization.IsLinear
 -/
 
 namespace Trivialization
 
-variable (e : Trivialization F (π E)) {x : TotalSpace E} {b : B} {y : E b}
+variable (e : Trivialization F (π F E)) {x : TotalSpace F E} {b : B} {y : E b}
 
 #print Trivialization.linear /-
 protected theorem linear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
     [∀ x, Module R (E x)] [e.isLinear R] {b : B} (hb : b ∈ e.baseSet) :
-    IsLinearMap R fun y : E b => (e (totalSpaceMk b y)).2 :=
+    IsLinearMap R fun y : E b => (e ⟨b, y⟩).2 :=
   Trivialization.IsLinear.linear b hb
 #align trivialization.linear Trivialization.linear
 -/
@@ -228,7 +226,7 @@ variable [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)] [∀ x, Mod
 #print Trivialization.linearEquivAt /-
 /-- A trivialization for a vector bundle defines linear equivalences between the
 fibers and the model space. -/
-def linearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) (hb : b ∈ e.baseSet) :
+def linearEquivAt (e : Trivialization F (π F E)) [e.isLinear R] (b : B) (hb : b ∈ e.baseSet) :
     E b ≃ₗ[R] F :=
   e.toPretrivialization.linearEquivAt R b hb
 #align trivialization.linear_equiv_at Trivialization.linearEquivAt
@@ -238,15 +236,15 @@ variable {R}
 
 #print Trivialization.linearEquivAt_apply /-
 @[simp]
-theorem linearEquivAt_apply (e : Trivialization F (π E)) [e.isLinear R] (b : B) (hb : b ∈ e.baseSet)
-    (v : E b) : e.linearEquivAt R b hb v = (e (totalSpaceMk b v)).2 :=
+theorem linearEquivAt_apply (e : Trivialization F (π F E)) [e.isLinear R] (b : B)
+    (hb : b ∈ e.baseSet) (v : E b) : e.linearEquivAt R b hb v = (e ⟨b, v⟩).2 :=
   rfl
 #align trivialization.linear_equiv_at_apply Trivialization.linearEquivAt_apply
 -/
 
 #print Trivialization.linearEquivAt_symm_apply /-
 @[simp]
-theorem linearEquivAt_symm_apply (e : Trivialization F (π E)) [e.isLinear R] (b : B)
+theorem linearEquivAt_symm_apply (e : Trivialization F (π F E)) [e.isLinear R] (b : B)
     (hb : b ∈ e.baseSet) (v : F) : (e.linearEquivAt R b hb).symm v = e.symm b v :=
   rfl
 #align trivialization.linear_equiv_at_symm_apply Trivialization.linearEquivAt_symm_apply
@@ -256,7 +254,7 @@ variable (R)
 
 #print Trivialization.symmₗ /-
 /-- A fiberwise linear inverse to `e`. -/
-protected def symmₗ (e : Trivialization F (π E)) [e.isLinear R] (b : B) : F →ₗ[R] E b :=
+protected def symmₗ (e : Trivialization F (π F E)) [e.isLinear R] (b : B) : F →ₗ[R] E b :=
   e.toPretrivialization.symmₗ R b
 #align trivialization.symmₗ Trivialization.symmₗ
 -/
@@ -264,7 +262,8 @@ protected def symmₗ (e : Trivialization F (π E)) [e.isLinear R] (b : B) : F 
 variable {R}
 
 #print Trivialization.coe_symmₗ /-
-theorem coe_symmₗ (e : Trivialization F (π E)) [e.isLinear R] (b : B) : ⇑(e.symmₗ R b) = e.symm b :=
+theorem coe_symmₗ (e : Trivialization F (π F E)) [e.isLinear R] (b : B) :
+    ⇑(e.symmₗ R b) = e.symm b :=
   rfl
 #align trivialization.coe_symmₗ Trivialization.coe_symmₗ
 -/
@@ -273,7 +272,7 @@ variable (R)
 
 #print Trivialization.linearMapAt /-
 /-- A fiberwise linear map equal to `e` on `e.base_set`. -/
-protected def linearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) : E b →ₗ[R] F :=
+protected def linearMapAt (e : Trivialization F (π F E)) [e.isLinear R] (b : B) : E b →ₗ[R] F :=
   e.toPretrivialization.linearMapAt R b
 #align trivialization.linear_map_at Trivialization.linearMapAt
 -/
@@ -281,49 +280,48 @@ protected def linearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) :
 variable {R}
 
 #print Trivialization.coe_linearMapAt /-
-theorem coe_linearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) :
-    ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 :=
+theorem coe_linearMapAt (e : Trivialization F (π F E)) [e.isLinear R] (b : B) :
+    ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e ⟨b, y⟩).2 else 0 :=
   e.toPretrivialization.coe_linearMapAt b
 #align trivialization.coe_linear_map_at Trivialization.coe_linearMapAt
 -/
 
 #print Trivialization.coe_linearMapAt_of_mem /-
-theorem coe_linearMapAt_of_mem (e : Trivialization F (π E)) [e.isLinear R] {b : B}
-    (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e (totalSpaceMk b y)).2 := by
+theorem coe_linearMapAt_of_mem (e : Trivialization F (π F E)) [e.isLinear R] {b : B}
+    (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e ⟨b, y⟩).2 := by
   simp_rw [coe_linear_map_at, if_pos hb]
 #align trivialization.coe_linear_map_at_of_mem Trivialization.coe_linearMapAt_of_mem
 -/
 
 #print Trivialization.linearMapAt_apply /-
-theorem linearMapAt_apply (e : Trivialization F (π E)) [e.isLinear R] {b : B} (y : E b) :
-    e.linearMapAt R b y = if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
-  rw [coe_linear_map_at]
+theorem linearMapAt_apply (e : Trivialization F (π F E)) [e.isLinear R] {b : B} (y : E b) :
+    e.linearMapAt R b y = if b ∈ e.baseSet then (e ⟨b, y⟩).2 else 0 := by rw [coe_linear_map_at]
 #align trivialization.linear_map_at_apply Trivialization.linearMapAt_apply
 -/
 
 #print Trivialization.linearMapAt_def_of_mem /-
-theorem linearMapAt_def_of_mem (e : Trivialization F (π E)) [e.isLinear R] {b : B}
+theorem linearMapAt_def_of_mem (e : Trivialization F (π F E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : e.linearMapAt R b = e.linearEquivAt R b hb :=
   dif_pos hb
 #align trivialization.linear_map_at_def_of_mem Trivialization.linearMapAt_def_of_mem
 -/
 
 #print Trivialization.linearMapAt_def_of_not_mem /-
-theorem linearMapAt_def_of_not_mem (e : Trivialization F (π E)) [e.isLinear R] {b : B}
+theorem linearMapAt_def_of_not_mem (e : Trivialization F (π F E)) [e.isLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
   dif_neg hb
 #align trivialization.linear_map_at_def_of_not_mem Trivialization.linearMapAt_def_of_not_mem
 -/
 
 #print Trivialization.symmₗ_linearMapAt /-
-theorem symmₗ_linearMapAt (e : Trivialization F (π E)) [e.isLinear R] {b : B} (hb : b ∈ e.baseSet)
+theorem symmₗ_linearMapAt (e : Trivialization F (π F E)) [e.isLinear R] {b : B} (hb : b ∈ e.baseSet)
     (y : E b) : e.symmₗ R b (e.linearMapAt R b y) = y :=
   e.toPretrivialization.symmₗ_linearMapAt hb y
 #align trivialization.symmₗ_linear_map_at Trivialization.symmₗ_linearMapAt
 -/
 
 #print Trivialization.linearMapAt_symmₗ /-
-theorem linearMapAt_symmₗ (e : Trivialization F (π E)) [e.isLinear R] {b : B} (hb : b ∈ e.baseSet)
+theorem linearMapAt_symmₗ (e : Trivialization F (π F E)) [e.isLinear R] {b : B} (hb : b ∈ e.baseSet)
     (y : F) : e.linearMapAt R b (e.symmₗ R b y) = y :=
   e.toPretrivialization.linearMapAt_symmₗ hb y
 #align trivialization.linear_map_at_symmₗ Trivialization.linearMapAt_symmₗ
@@ -334,7 +332,7 @@ variable (R)
 #print Trivialization.coordChangeL /-
 /-- A coordinate change function between two trivializations, as a continuous linear equivalence.
   Defined to be the identity when `b` does not lie in the base set of both trivializations. -/
-def coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] (b : B) :
+def coordChangeL (e e' : Trivialization F (π F E)) [e.isLinear R] [e'.isLinear R] (b : B) :
     F ≃L[R] F :=
   {
     if hb : b ∈ e.baseSet ∩ e'.baseSet then
@@ -366,7 +364,7 @@ def coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R]
 variable {R}
 
 #print Trivialization.coe_coordChangeL /-
-theorem coe_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
+theorem coe_coordChangeL (e e' : Trivialization F (π F E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     ⇑(coordChangeL R e e' b) = (e.linearEquivAt R b hb.1).symm.trans (e'.linearEquivAt R b hb.2) :=
   congr_arg LinearEquiv.toFun (dif_pos hb)
@@ -374,7 +372,7 @@ theorem coe_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isL
 -/
 
 #print Trivialization.coe_coordChangeL' /-
-theorem coe_coordChangeL' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
+theorem coe_coordChangeL' (e e' : Trivialization F (π F E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     (coordChangeL R e e' b).toLinearEquiv =
       (e.linearEquivAt R b hb.1).symm.trans (e'.linearEquivAt R b hb.2) :=
@@ -383,7 +381,7 @@ theorem coe_coordChangeL' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.is
 -/
 
 #print Trivialization.symm_coordChangeL /-
-theorem symm_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
+theorem symm_coordChangeL (e e' : Trivialization F (π F E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e'.baseSet ∩ e.baseSet) : (e.coordChangeL R e' b).symm = e'.coordChangeL R e b :=
   by
   apply ContinuousLinearEquiv.toLinearEquiv_injective
@@ -393,17 +391,15 @@ theorem symm_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.is
 -/
 
 #print Trivialization.coordChangeL_apply /-
-theorem coordChangeL_apply (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
-    (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) :
-    coordChangeL R e e' b y = (e' (totalSpaceMk b (e.symm b y))).2 :=
+theorem coordChangeL_apply (e e' : Trivialization F (π F E)) [e.isLinear R] [e'.isLinear R] {b : B}
+    (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) : coordChangeL R e e' b y = (e' ⟨b, e.symm b y⟩).2 :=
   congr_arg (fun f => LinearEquiv.toFun f y) (dif_pos hb)
 #align trivialization.coord_changeL_apply Trivialization.coordChangeL_apply
 -/
 
 #print Trivialization.mk_coordChangeL /-
-theorem mk_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
-    (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) :
-    (b, coordChangeL R e e' b y) = e' (totalSpaceMk b (e.symm b y)) :=
+theorem mk_coordChangeL (e e' : Trivialization F (π F E)) [e.isLinear R] [e'.isLinear R] {b : B}
+    (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) : (b, coordChangeL R e e' b y) = e' ⟨b, e.symm b y⟩ :=
   by
   ext
   · rw [e.mk_symm hb.1 y, e'.coe_fst', e.proj_symm_apply' hb.1]
@@ -413,7 +409,7 @@ theorem mk_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLi
 -/
 
 #print Trivialization.apply_symm_apply_eq_coordChangeL /-
-theorem apply_symm_apply_eq_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R]
+theorem apply_symm_apply_eq_coordChangeL (e e' : Trivialization F (π F E)) [e.isLinear R]
     [e'.isLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
     e' (e.toLocalHomeomorph.symm (b, v)) = (b, e.coordChangeL R e' b v) := by
   rw [e.mk_coord_changeL e' hb, e.mk_symm hb.1]
@@ -423,7 +419,7 @@ theorem apply_symm_apply_eq_coordChangeL (e e' : Trivialization F (π E)) [e.isL
 #print Trivialization.coordChangeL_apply' /-
 /-- A version of `coord_change_apply` that fully unfolds `coord_change`. The right-hand side is
 ugly, but has good definitional properties for specifically defined trivializations. -/
-theorem coordChangeL_apply' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
+theorem coordChangeL_apply' (e e' : Trivialization F (π F E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) :
     coordChangeL R e e' b y = (e' (e.toLocalHomeomorph.symm (b, y))).2 := by
   rw [e.coord_changeL_apply e' hb, e.mk_symm hb.1]
@@ -431,7 +427,7 @@ theorem coordChangeL_apply' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.
 -/
 
 #print Trivialization.coordChangeL_symm_apply /-
-theorem coordChangeL_symm_apply (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R]
+theorem coordChangeL_symm_apply (e e' : Trivialization F (π F E)) [e.isLinear R] [e'.isLinear R]
     {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     ⇑(coordChangeL R e e' b).symm =
       (e'.linearEquivAt R b hb.2).symm.trans (e.linearEquivAt R b hb.1) :=
@@ -449,20 +445,20 @@ namespace Bundle
 
 #print Bundle.zeroSection /-
 /-- The zero section of a vector bundle -/
-def zeroSection [∀ x, Zero (E x)] : B → TotalSpace E := fun x => totalSpaceMk x 0
+def zeroSection [∀ x, Zero (E x)] : B → TotalSpace F E := fun x => ⟨x, 0⟩
 #align bundle.zero_section Bundle.zeroSection
 -/
 
 #print Bundle.zeroSection_proj /-
 @[simp, mfld_simps]
-theorem zeroSection_proj [∀ x, Zero (E x)] (x : B) : (zeroSection E x).proj = x :=
+theorem zeroSection_proj [∀ x, Zero (E x)] (x : B) : (zeroSection F E x).proj = x :=
   rfl
 #align bundle.zero_section_proj Bundle.zeroSection_proj
 -/
 
 #print Bundle.zeroSection_snd /-
 @[simp, mfld_simps]
-theorem zeroSection_snd [∀ x, Zero (E x)] (x : B) : (zeroSection E x).2 = 0 :=
+theorem zeroSection_snd [∀ x, Zero (E x)] (x : B) : (zeroSection F E x).2 = 0 :=
   rfl
 #align bundle.zero_section_snd Bundle.zeroSection_snd
 -/
@@ -472,19 +468,19 @@ end Bundle
 open Bundle
 
 variable [NontriviallyNormedField R] [∀ x, AddCommMonoid (E x)] [∀ x, Module R (E x)]
-  [NormedAddCommGroup F] [NormedSpace R F] [TopologicalSpace B] [TopologicalSpace (TotalSpace E)]
+  [NormedAddCommGroup F] [NormedSpace R F] [TopologicalSpace B] [TopologicalSpace (TotalSpace F E)]
   [∀ x, TopologicalSpace (E x)] [FiberBundle F E]
 
 #print VectorBundle /-
 /- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`continuousOn_coord_change'] [] -/
-/-- The space `total_space E` (for `E : B → Type*` such that each `E x` is a topological vector
+/-- The space `total_space F E` (for `E : B → Type*` such that each `E x` is a topological vector
 space) has a topological vector space structure with fiber `F` (denoted with
 `vector_bundle R F E`) if around every point there is a fiber bundle trivialization
 which is linear in the fibers. -/
 class VectorBundle : Prop where
-  trivialization_linear' : ∀ (e : Trivialization F (π E)) [MemTrivializationAtlas e], e.isLinear R
+  trivialization_linear' : ∀ (e : Trivialization F (π F E)) [MemTrivializationAtlas e], e.isLinear R
   continuousOn_coord_change' :
-    ∀ (e e' : Trivialization F (π E)) [MemTrivializationAtlas e] [MemTrivializationAtlas e'],
+    ∀ (e e' : Trivialization F (π F E)) [MemTrivializationAtlas e] [MemTrivializationAtlas e'],
       ContinuousOn (fun b => Trivialization.coordChangeL R e e' b : B → F →L[R] F)
         (e.baseSet ∩ e'.baseSet)
 #align vector_bundle VectorBundle
@@ -493,14 +489,14 @@ class VectorBundle : Prop where
 variable {F E}
 
 #print trivialization_linear /-
-instance (priority := 100) trivialization_linear [VectorBundle R F E] (e : Trivialization F (π E))
+instance (priority := 100) trivialization_linear [VectorBundle R F E] (e : Trivialization F (π F E))
     [MemTrivializationAtlas e] : e.isLinear R :=
   VectorBundle.trivialization_linear' e
 #align trivialization_linear trivialization_linear
 -/
 
 #print continuousOn_coordChange /-
-theorem continuousOn_coordChange [VectorBundle R F E] (e e' : Trivialization F (π E))
+theorem continuousOn_coordChange [VectorBundle R F E] (e e' : Trivialization F (π F E))
     [he : MemTrivializationAtlas e] [he' : MemTrivializationAtlas e'] :
     ContinuousOn (fun b => Trivialization.coordChangeL R e e' b : B → F →L[R] F)
       (e.baseSet ∩ e'.baseSet) :=
@@ -514,7 +510,7 @@ namespace Trivialization
 /-- Forward map of `continuous_linear_equiv_at` (only propositionally equal),
   defined everywhere (`0` outside domain). -/
 @[simps (config := { fullyApplied := false }) apply]
-def continuousLinearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) : E b →L[R] F :=
+def continuousLinearMapAt (e : Trivialization F (π F E)) [e.isLinear R] (b : B) : E b →L[R] F :=
   {-- given explicitly to help `simps`
         e.linearMapAt
       R b with
@@ -525,7 +521,7 @@ def continuousLinearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) :
       refine' continuous_if_const _ (fun hb => _) fun _ => continuous_zero
       exact
         continuous_snd.comp
-          (e.continuous_on.comp_continuous (FiberBundle.totalSpaceMk_inducing F E b).Continuous
+          (e.continuous_on.comp_continuous (FiberBundle.totalSpace_mk_inducing F E b).Continuous
             fun x => e.mem_source.mpr hb) }
 #align trivialization.continuous_linear_map_at Trivialization.continuousLinearMapAt
 -/
@@ -533,14 +529,14 @@ def continuousLinearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) :
 #print Trivialization.symmL /-
 /-- Backwards map of `continuous_linear_equiv_at`, defined everywhere. -/
 @[simps (config := { fullyApplied := false }) apply]
-def symmL (e : Trivialization F (π E)) [e.isLinear R] (b : B) : F →L[R] E b :=
+def symmL (e : Trivialization F (π F E)) [e.isLinear R] (b : B) : F →L[R] E b :=
   {-- given explicitly to help `simps`
         e.symmₗ
       R b with
     toFun := e.symm b
     cont := by
       by_cases hb : b ∈ e.base_set
-      · rw [(FiberBundle.totalSpaceMk_inducing F E b).continuous_iff]
+      · rw [(FiberBundle.totalSpace_mk_inducing F E b).continuous_iff]
         exact
           e.continuous_on_symm.comp_continuous (continuous_const.prod_mk continuous_id) fun x =>
             mk_mem_prod hb (mem_univ x)
@@ -551,14 +547,14 @@ def symmL (e : Trivialization F (π E)) [e.isLinear R] (b : B) : F →L[R] E b :
 variable {R}
 
 #print Trivialization.symmL_continuousLinearMapAt /-
-theorem symmL_continuousLinearMapAt (e : Trivialization F (π E)) [e.isLinear R] {b : B}
+theorem symmL_continuousLinearMapAt (e : Trivialization F (π F E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : E b) : e.symmL R b (e.continuousLinearMapAt R b y) = y :=
   e.symmₗ_linearMapAt hb y
 #align trivialization.symmL_continuous_linear_map_at Trivialization.symmL_continuousLinearMapAt
 -/
 
 #print Trivialization.continuousLinearMapAt_symmL /-
-theorem continuousLinearMapAt_symmL (e : Trivialization F (π E)) [e.isLinear R] {b : B}
+theorem continuousLinearMapAt_symmL (e : Trivialization F (π F E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : F) : e.continuousLinearMapAt R b (e.symmL R b y) = y :=
   e.linearMapAt_symmₗ hb y
 #align trivialization.continuous_linear_map_at_symmL Trivialization.continuousLinearMapAt_symmL
@@ -570,17 +566,17 @@ variable (R)
 /-- In a vector bundle, a trivialization in the fiber (which is a priori only linear)
 is in fact a continuous linear equiv between the fibers and the model fiber. -/
 @[simps (config := { fullyApplied := false }) apply symm_apply]
-def continuousLinearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B)
+def continuousLinearEquivAt (e : Trivialization F (π F E)) [e.isLinear R] (b : B)
     (hb : b ∈ e.baseSet) : E b ≃L[R] F :=
   {-- given explicitly to help `simps`
           -- given explicitly to help `simps`
           e.toPretrivialization.linearEquivAt
       R b hb with
-    toFun := fun y => (e (totalSpaceMk b y)).2
+    toFun := fun y => (e ⟨b, y⟩).2
     invFun := e.symm b
     continuous_toFun :=
       continuous_snd.comp
-        (e.ContinuousOn.comp_continuous (FiberBundle.totalSpaceMk_inducing F E b).Continuous
+        (e.ContinuousOn.comp_continuous (FiberBundle.totalSpace_mk_inducing F E b).Continuous
           fun x => e.mem_source.mpr hb)
     continuous_invFun := (e.symmL R b).Continuous }
 #align trivialization.continuous_linear_equiv_at Trivialization.continuousLinearEquivAt
@@ -589,7 +585,7 @@ def continuousLinearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B)
 variable {R}
 
 #print Trivialization.coe_continuousLinearEquivAt_eq /-
-theorem coe_continuousLinearEquivAt_eq (e : Trivialization F (π E)) [e.isLinear R] {b : B}
+theorem coe_continuousLinearEquivAt_eq (e : Trivialization F (π F E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) :
     (e.continuousLinearEquivAt R b hb : E b → F) = e.continuousLinearMapAt R b :=
   (e.coe_linearMapAt_of_mem hb).symm
@@ -597,7 +593,7 @@ theorem coe_continuousLinearEquivAt_eq (e : Trivialization F (π E)) [e.isLinear
 -/
 
 #print Trivialization.symm_continuousLinearEquivAt_eq /-
-theorem symm_continuousLinearEquivAt_eq (e : Trivialization F (π E)) [e.isLinear R] {b : B}
+theorem symm_continuousLinearEquivAt_eq (e : Trivialization F (π F E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : ((e.continuousLinearEquivAt R b hb).symm : F → E b) = e.symmL R b :=
   rfl
 #align trivialization.symm_continuous_linear_equiv_at_eq Trivialization.symm_continuousLinearEquivAt_eq
@@ -605,8 +601,8 @@ theorem symm_continuousLinearEquivAt_eq (e : Trivialization F (π E)) [e.isLinea
 
 #print Trivialization.continuousLinearEquivAt_apply' /-
 @[simp]
-theorem continuousLinearEquivAt_apply' (e : Trivialization F (π E)) [e.isLinear R]
-    (x : TotalSpace E) (hx : x ∈ e.source) :
+theorem continuousLinearEquivAt_apply' (e : Trivialization F (π F E)) [e.isLinear R]
+    (x : TotalSpace F E) (hx : x ∈ e.source) :
     e.continuousLinearEquivAt R x.proj (e.mem_source.1 hx) x.2 = (e x).2 := by cases x; rfl
 #align trivialization.continuous_linear_equiv_at_apply' Trivialization.continuousLinearEquivAt_apply'
 -/
@@ -614,7 +610,7 @@ theorem continuousLinearEquivAt_apply' (e : Trivialization F (π E)) [e.isLinear
 variable (R)
 
 #print Trivialization.apply_eq_prod_continuousLinearEquivAt /-
-theorem apply_eq_prod_continuousLinearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B)
+theorem apply_eq_prod_continuousLinearEquivAt (e : Trivialization F (π F E)) [e.isLinear R] (b : B)
     (hb : b ∈ e.baseSet) (z : E b) : e ⟨b, z⟩ = (b, e.continuousLinearEquivAt R b hb z) :=
   by
   ext
@@ -626,19 +622,18 @@ theorem apply_eq_prod_continuousLinearEquivAt (e : Trivialization F (π E)) [e.i
 -/
 
 #print Trivialization.zeroSection /-
-protected theorem zeroSection (e : Trivialization F (π E)) [e.isLinear R] {x : B}
-    (hx : x ∈ e.baseSet) : e (zeroSection E x) = (x, 0) := by
-  simp_rw [zero_section, total_space_mk, e.apply_eq_prod_continuous_linear_equiv_at R x hx 0,
-    map_zero]
+protected theorem zeroSection (e : Trivialization F (π F E)) [e.isLinear R] {x : B}
+    (hx : x ∈ e.baseSet) : e (zeroSection F E x) = (x, 0) := by
+  simp_rw [zero_section, e.apply_eq_prod_continuous_linear_equiv_at R x hx 0, map_zero]
 #align trivialization.zero_section Trivialization.zeroSection
 -/
 
 variable {R}
 
 #print Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm /-
-theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π E)) [e.isLinear R]
+theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π F E)) [e.isLinear R]
     (b : B) (hb : b ∈ e.baseSet) (z : F) :
-    e.toLocalHomeomorph.symm ⟨b, z⟩ = totalSpaceMk b ((e.continuousLinearEquivAt R b hb).symm z) :=
+    e.toLocalHomeomorph.symm ⟨b, z⟩ = ⟨b, (e.continuousLinearEquivAt R b hb).symm z⟩ :=
   by
   have h : (b, z) ∈ e.target := by
     rw [e.target_eq]
@@ -651,8 +646,8 @@ theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π
 -/
 
 #print Trivialization.comp_continuousLinearEquivAt_eq_coord_change /-
-theorem comp_continuousLinearEquivAt_eq_coord_change (e e' : Trivialization F (π E)) [e.isLinear R]
-    [e'.isLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) :
+theorem comp_continuousLinearEquivAt_eq_coord_change (e e' : Trivialization F (π F E))
+    [e.isLinear R] [e'.isLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     (e.continuousLinearEquivAt R b hb.1).symm.trans (e'.continuousLinearEquivAt R b hb.2) =
       coordChangeL R e e' b :=
   by ext v; rw [coord_changeL_apply e e' hb]; rfl
@@ -782,18 +777,17 @@ instance addCommGroupFiber [AddCommGroup F] : ∀ x : B, AddCommGroup (Z.Fiber x
 #print VectorBundleCore.proj /-
 /-- The projection from the total space of a fiber bundle core, on its base. -/
 @[reducible, simp, mfld_simps]
-protected def proj : TotalSpace Z.Fiber → B :=
+protected def proj : TotalSpace F Z.Fiber → B :=
   TotalSpace.proj
 #align vector_bundle_core.proj VectorBundleCore.proj
 -/
 
 #print VectorBundleCore.TotalSpace /-
 /-- The total space of the vector bundle, as a convenience function for dot notation.
-It is by definition equal to `bundle.total_space Z.fiber`, a.k.a. `Σ x, Z.fiber x` but with a
-different name for typeclass inference. -/
+It is by definition equal to `bundle.total_space Z.fiber`. -/
 @[nolint unused_arguments, reducible]
 protected def TotalSpace :=
-  Bundle.TotalSpace Z.Fiber
+  Bundle.TotalSpace F Z.Fiber
 #align vector_bundle_core.total_space VectorBundleCore.TotalSpace
 -/
 
@@ -815,7 +809,7 @@ theorem mem_trivChange_source (i j : ι) (p : B × F) :
 #print VectorBundleCore.toTopologicalSpace /-
 /-- Topological structure on the total space of a vector bundle created from core, designed so
 that all the local trivialization are continuous. -/
-instance toTopologicalSpace : TopologicalSpace Z.TotalSpace :=
+instance toTopologicalSpace : TopologicalSpace Z.TotalSpaceₓ :=
   Z.toFiberBundleCore.toTopologicalSpace
 #align vector_bundle_core.to_topological_space VectorBundleCore.toTopologicalSpace
 -/
@@ -832,7 +826,7 @@ theorem coe_coordChange (i j : ι) : Z.toFiberBundleCore.coordChange i j b = Z.c
 #print VectorBundleCore.localTriv /-
 /-- One of the standard local trivializations of a vector bundle constructed from core, taken by
 considering this in particular as a fiber bundle constructed from core. -/
-def localTriv (i : ι) : Trivialization F (π Z.Fiber) := by
+def localTriv (i : ι) : Trivialization F (π F Z.Fiber) := by
   dsimp [VectorBundleCore.TotalSpace, VectorBundleCore.Fiber] <;>
     exact Z.to_fiber_bundle_core.local_triv i
 #align vector_bundle_core.local_triv VectorBundleCore.localTriv
@@ -853,7 +847,7 @@ variable (i j : ι)
 
 #print VectorBundleCore.mem_localTriv_source /-
 @[simp, mfld_simps]
-theorem mem_localTriv_source (p : Z.TotalSpace) : p ∈ (Z.localTriv i).source ↔ p.1 ∈ Z.baseSet i :=
+theorem mem_localTriv_source (p : Z.TotalSpaceₓ) : p ∈ (Z.localTriv i).source ↔ p.1 ∈ Z.baseSet i :=
   by dsimp [VectorBundleCore.Fiber] <;> exact Iff.rfl
 #align vector_bundle_core.mem_local_triv_source VectorBundleCore.mem_localTriv_source
 -/
@@ -867,7 +861,7 @@ theorem baseSet_at : Z.baseSet i = (Z.localTriv i).baseSet :=
 
 #print VectorBundleCore.localTriv_apply /-
 @[simp, mfld_simps]
-theorem localTriv_apply (p : Z.TotalSpace) :
+theorem localTriv_apply (p : Z.TotalSpaceₓ) :
     (Z.localTriv i) p = ⟨p.1, Z.coordChange (Z.indexAt p.1) i p.1 p.2⟩ :=
   rfl
 #align vector_bundle_core.local_triv_apply VectorBundleCore.localTriv_apply
@@ -910,7 +904,7 @@ theorem localTriv_coordChange_eq {b : B} (hb : b ∈ Z.baseSet i ∩ Z.baseSet j
 #print VectorBundleCore.localTrivAt /-
 /-- Preferred local trivialization of a vector bundle constructed from core, at a given point, as
 a bundle trivialization -/
-def localTrivAt (b : B) : Trivialization F (π Z.Fiber) :=
+def localTrivAt (b : B) : Trivialization F (π F Z.Fiber) :=
   Z.localTriv (Z.indexAt b)
 #align vector_bundle_core.local_triv_at VectorBundleCore.localTrivAt
 -/
@@ -924,14 +918,14 @@ theorem localTrivAt_def : Z.localTriv (Z.indexAt b) = Z.localTrivAt b :=
 
 #print VectorBundleCore.mem_source_at /-
 @[simp, mfld_simps]
-theorem mem_source_at : (⟨b, a⟩ : Z.TotalSpace) ∈ (Z.localTrivAt b).source := by
+theorem mem_source_at : (⟨b, a⟩ : Z.TotalSpaceₓ) ∈ (Z.localTrivAt b).source := by
   rw [local_triv_at, mem_local_triv_source]; exact Z.mem_base_set_at b
 #align vector_bundle_core.mem_source_at VectorBundleCore.mem_source_at
 -/
 
 #print VectorBundleCore.localTrivAt_apply /-
 @[simp, mfld_simps]
-theorem localTrivAt_apply (p : Z.TotalSpace) : (Z.localTrivAt p.1) p = ⟨p.1, p.2⟩ :=
+theorem localTrivAt_apply (p : Z.TotalSpaceₓ) : (Z.localTrivAt p.1) p = ⟨p.1, p.2⟩ :=
   FiberBundleCore.localTrivAt_apply Z p
 #align vector_bundle_core.local_triv_at_apply VectorBundleCore.localTrivAt_apply
 -/
@@ -1065,19 +1059,18 @@ This makes it inconvenient to explicitly define a `coord_change` function when c
 `vector_prebundle`. -/
 @[nolint has_nonempty_instance]
 structure VectorPrebundle where
-  pretrivializationAtlas : Set (Pretrivialization F (π E))
+  pretrivializationAtlas : Set (Pretrivialization F (π F E))
   pretrivialization_linear' :
-    ∀ (e : Pretrivialization F (π E)) (he : e ∈ pretrivialization_atlas), e.isLinear R
-  pretrivializationAt : B → Pretrivialization F (π E)
+    ∀ (e : Pretrivialization F (π F E)) (he : e ∈ pretrivialization_atlas), e.isLinear R
+  pretrivializationAt : B → Pretrivialization F (π F E)
   mem_base_pretrivializationAt : ∀ x : B, x ∈ (pretrivialization_at x).baseSet
   pretrivialization_mem_atlas : ∀ x : B, pretrivialization_at x ∈ pretrivialization_atlas
   exists_coord_change :
     ∀ (e) (_ : e ∈ pretrivialization_atlas) (e') (_ : e' ∈ pretrivialization_atlas),
       ∃ f : B → F →L[R] F,
         ContinuousOn f (e.baseSet ∩ e'.baseSet) ∧
-          ∀ (b : B) (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F),
-            f b v = (e' (totalSpaceMk b (e.symm b v))).2
-  totalSpaceMk_inducing : ∀ b : B, Inducing (pretrivialization_at b ∘ totalSpaceMk b)
+          ∀ (b : B) (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F), f b v = (e' ⟨b, e.symm b v⟩).2
+  totalSpaceₓ_mk_inducing : ∀ b : B, Inducing (pretrivialization_at b ∘ TotalSpace.mk b)
 #align vector_prebundle VectorPrebundle
 -/
 
@@ -1088,14 +1081,14 @@ variable {R E F}
 #print VectorPrebundle.coordChange /-
 /-- A randomly chosen coordinate change on a `vector_prebundle`, given by
   the field `exists_coord_change`. -/
-def coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
+def coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π F E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) (b : B) : F →L[R] F :=
   Classical.choose (a.exists_coord_change e he e' he') b
 #align vector_prebundle.coord_change VectorPrebundle.coordChange
 -/
 
 #print VectorPrebundle.continuousOn_coordChange /-
-theorem continuousOn_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
+theorem continuousOn_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π F E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) :
     ContinuousOn (a.coordChange he he') (e.baseSet ∩ e'.baseSet) :=
   (Classical.choose_spec (a.exists_coord_change e he e' he')).1
@@ -1103,19 +1096,18 @@ theorem continuousOn_coordChange (a : VectorPrebundle R F E) {e e' : Pretriviali
 -/
 
 #print VectorPrebundle.coordChange_apply /-
-theorem coordChange_apply (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
+theorem coordChange_apply (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π F E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) {b : B}
-    (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
-    a.coordChange he he' b v = (e' (totalSpaceMk b (e.symm b v))).2 :=
+    (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) : a.coordChange he he' b v = (e' ⟨b, e.symm b v⟩).2 :=
   (Classical.choose_spec (a.exists_coord_change e he e' he')).2 b hb v
 #align vector_prebundle.coord_change_apply VectorPrebundle.coordChange_apply
 -/
 
 #print VectorPrebundle.mk_coordChange /-
-theorem mk_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
+theorem mk_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π F E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
-    (b, a.coordChange he he' b v) = e' (totalSpaceMk b (e.symm b v)) :=
+    (b, a.coordChange he he' b v) = e' ⟨b, e.symm b v⟩ :=
   by
   ext
   · rw [e.mk_symm hb.1 v, e'.coe_fst', e.proj_symm_apply' hb.1]
@@ -1153,7 +1145,7 @@ def toFiberPrebundle (a : VectorPrebundle R F E) : FiberPrebundle F E :=
 
 #print VectorPrebundle.totalSpaceTopology /-
 /-- Topology on the total space that will make the prebundle into a bundle. -/
-def totalSpaceTopology (a : VectorPrebundle R F E) : TopologicalSpace (TotalSpace E) :=
+def totalSpaceTopology (a : VectorPrebundle R F E) : TopologicalSpace (TotalSpace F E) :=
   a.toFiberPrebundle.totalSpaceTopology
 #align vector_prebundle.total_space_topology VectorPrebundle.totalSpaceTopology
 -/
@@ -1162,15 +1154,15 @@ def totalSpaceTopology (a : VectorPrebundle R F E) : TopologicalSpace (TotalSpac
 /-- Promotion from a `trivialization` in the `pretrivialization_atlas` of a
 `vector_prebundle` to a `trivialization`. -/
 def trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R F E)
-    {e : Pretrivialization F (π E)} (he : e ∈ a.pretrivializationAtlas) :
-    @Trivialization B F _ _ _ a.totalSpaceTopology (π E) :=
+    {e : Pretrivialization F (π F E)} (he : e ∈ a.pretrivializationAtlas) :
+    @Trivialization B F _ _ _ a.totalSpaceTopology (π F E) :=
   a.toFiberPrebundle.trivializationOfMemPretrivializationAtlas he
 #align vector_prebundle.trivialization_of_mem_pretrivialization_atlas VectorPrebundle.trivializationOfMemPretrivializationAtlas
 -/
 
 #print VectorPrebundle.linear_trivializationOfMemPretrivializationAtlas /-
 theorem linear_trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R F E)
-    {e : Pretrivialization F (π E)} (he : e ∈ a.pretrivializationAtlas) :
+    {e : Pretrivialization F (π F E)} (he : e ∈ a.pretrivializationAtlas) :
     @Trivialization.IsLinear R B F _ _ _ _ a.totalSpaceTopology _ _ _ _
       (trivializationOfMemPretrivializationAtlas a he) :=
   { linear := (a.pretrivialization_linear' e he).linear }
@@ -1181,7 +1173,7 @@ variable (a : VectorPrebundle R F E)
 
 #print VectorPrebundle.mem_trivialization_at_source /-
 theorem mem_trivialization_at_source (b : B) (x : E b) :
-    totalSpaceMk b x ∈ (a.pretrivializationAt b).source :=
+    TotalSpace.mk b x ∈ (a.pretrivializationAt b).source :=
   a.toFiberPrebundle.mem_pretrivializationAt_source b x
 #align vector_prebundle.mem_trivialization_at_source VectorPrebundle.mem_trivialization_at_source
 -/
@@ -1189,14 +1181,15 @@ theorem mem_trivialization_at_source (b : B) (x : E b) :
 #print VectorPrebundle.totalSpaceMk_preimage_source /-
 @[simp]
 theorem totalSpaceMk_preimage_source (b : B) :
-    totalSpaceMk b ⁻¹' (a.pretrivializationAt b).source = univ :=
+    TotalSpace.mk b ⁻¹' (a.pretrivializationAt b).source = univ :=
   a.toFiberPrebundle.totalSpaceMk_preimage_source b
 #align vector_prebundle.total_space_mk_preimage_source VectorPrebundle.totalSpaceMk_preimage_source
 -/
 
 #print VectorPrebundle.continuous_totalSpaceMk /-
 @[continuity]
-theorem continuous_totalSpaceMk (b : B) : @Continuous _ _ _ a.totalSpaceTopology (totalSpaceMk b) :=
+theorem continuous_totalSpaceMk (b : B) :
+    @Continuous _ _ _ a.totalSpaceTopology (TotalSpace.mk b) :=
   a.toFiberPrebundle.continuous_totalSpaceMk b
 #align vector_prebundle.continuous_total_space_mk VectorPrebundle.continuous_totalSpaceMk
 -/
@@ -1242,10 +1235,10 @@ variable {σ : 𝕜₁ →+* 𝕜₂}
 
 variable {B' : Type _} [TopologicalSpace B']
 
-variable [NormedSpace 𝕜₁ F] [∀ x, Module 𝕜₁ (E x)] [TopologicalSpace (TotalSpace E)]
+variable [NormedSpace 𝕜₁ F] [∀ x, Module 𝕜₁ (E x)] [TopologicalSpace (TotalSpace F E)]
 
 variable {F' : Type _} [NormedAddCommGroup F'] [NormedSpace 𝕜₂ F'] {E' : B' → Type _}
-  [∀ x, AddCommMonoid (E' x)] [∀ x, Module 𝕜₂ (E' x)] [TopologicalSpace (TotalSpace E')]
+  [∀ x, AddCommMonoid (E' x)] [∀ x, Module 𝕜₂ (E' x)] [TopologicalSpace (TotalSpace F' E')]
 
 variable [FiberBundle F E] [VectorBundle 𝕜₁ F E]

bump to nightly-2023-06-24-17

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

f6b68296

Diff

@@ -1209,15 +1209,14 @@ def toFiberBundle : @FiberBundle B F _ _ _ a.totalSpaceTopology _ :=
 #align vector_prebundle.to_fiber_bundle VectorPrebundle.toFiberBundle
 -/
 
-#print VectorPrebundle.to_vectorBundle /-
+#print VectorPrebundle.toVectorBundle /-
 /-- Make a `vector_bundle` from a `vector_prebundle`.  Concretely this means
 that, given a `vector_prebundle` structure for a sigma-type `E` -- which consists of a
 number of "pretrivializations" identifying parts of `E` with product spaces `U × F` -- one
 establishes that for the topology constructed on the sigma-type using
 `vector_prebundle.total_space_topology`, these "pretrivializations" are actually
 "trivializations" (i.e., homeomorphisms with respect to the constructed topology). -/
-theorem to_vectorBundle :
-    @VectorBundle R _ F E _ _ _ _ _ _ a.totalSpaceTopology _ a.toFiberBundle :=
+theorem toVectorBundle : @VectorBundle R _ F E _ _ _ _ _ _ a.totalSpaceTopology _ a.toFiberBundle :=
   { trivialization_linear' := by
       rintro _ ⟨e, he, rfl⟩
       apply linear_of_mem_pretrivialization_atlas
@@ -1230,7 +1229,7 @@ theorem to_vectorBundle :
       rw [a.coord_change_apply he he' hb v, ContinuousLinearEquiv.coe_coe,
         Trivialization.coordChangeL_apply]
       exacts [rfl, hb] }
-#align vector_prebundle.to_vector_bundle VectorPrebundle.to_vectorBundle
+#align vector_prebundle.to_vector_bundle VectorPrebundle.toVectorBundle
 -/
 
 end VectorPrebundle

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -86,11 +86,13 @@ namespace Pretrivialization
 
 variable {F E} (e : Pretrivialization F (π E)) {x : TotalSpace E} {b : B} {y : E b}
 
+#print Pretrivialization.linear /-
 theorem linear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)] [∀ x, Module R (E x)]
     [e.isLinear R] {b : B} (hb : b ∈ e.baseSet) :
     IsLinearMap R fun x : E b => (e (totalSpaceMk b x)).2 :=
   Pretrivialization.IsLinear.linear b hb
 #align pretrivialization.linear Pretrivialization.linear
+-/
 
 variable [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)] [∀ x, Module R (E x)]
 
@@ -133,45 +135,61 @@ protected def linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B
 
 variable {R}
 
+#print Pretrivialization.coe_linearMapAt /-
 theorem coe_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B) :
     ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
   rw [Pretrivialization.linearMapAt]; split_ifs <;> rfl
 #align pretrivialization.coe_linear_map_at Pretrivialization.coe_linearMapAt
+-/
 
+#print Pretrivialization.coe_linearMapAt_of_mem /-
 theorem coe_linearMapAt_of_mem (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e (totalSpaceMk b y)).2 := by
   simp_rw [coe_linear_map_at, if_pos hb]
 #align pretrivialization.coe_linear_map_at_of_mem Pretrivialization.coe_linearMapAt_of_mem
+-/
 
+#print Pretrivialization.linearMapAt_apply /-
 theorem linearMapAt_apply (e : Pretrivialization F (π E)) [e.isLinear R] {b : B} (y : E b) :
     e.linearMapAt R b y = if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
   rw [coe_linear_map_at]
 #align pretrivialization.linear_map_at_apply Pretrivialization.linearMapAt_apply
+-/
 
+#print Pretrivialization.linearMapAt_def_of_mem /-
 theorem linearMapAt_def_of_mem (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : e.linearMapAt R b = e.linearEquivAt R b hb :=
   dif_pos hb
 #align pretrivialization.linear_map_at_def_of_mem Pretrivialization.linearMapAt_def_of_mem
+-/
 
+#print Pretrivialization.linearMapAt_def_of_not_mem /-
 theorem linearMapAt_def_of_not_mem (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
   dif_neg hb
 #align pretrivialization.linear_map_at_def_of_not_mem Pretrivialization.linearMapAt_def_of_not_mem
+-/
 
+#print Pretrivialization.linearMapAt_eq_zero /-
 theorem linearMapAt_eq_zero (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
   dif_neg hb
 #align pretrivialization.linear_map_at_eq_zero Pretrivialization.linearMapAt_eq_zero
+-/
 
+#print Pretrivialization.symmₗ_linearMapAt /-
 theorem symmₗ_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : E b) : e.symmₗ R b (e.linearMapAt R b y) = y := by
   rw [e.linear_map_at_def_of_mem hb]; exact (e.linear_equiv_at R b hb).left_inv y
 #align pretrivialization.symmₗ_linear_map_at Pretrivialization.symmₗ_linearMapAt
+-/
 
+#print Pretrivialization.linearMapAt_symmₗ /-
 theorem linearMapAt_symmₗ (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : F) : e.linearMapAt R b (e.symmₗ R b y) = y := by
   rw [e.linear_map_at_def_of_mem hb]; exact (e.linear_equiv_at R b hb).right_inv y
 #align pretrivialization.linear_map_at_symmₗ Pretrivialization.linearMapAt_symmₗ
+-/
 
 end Pretrivialization
 
@@ -190,11 +208,13 @@ namespace Trivialization
 
 variable (e : Trivialization F (π E)) {x : TotalSpace E} {b : B} {y : E b}
 
+#print Trivialization.linear /-
 protected theorem linear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
     [∀ x, Module R (E x)] [e.isLinear R] {b : B} (hb : b ∈ e.baseSet) :
     IsLinearMap R fun y : E b => (e (totalSpaceMk b y)).2 :=
   Trivialization.IsLinear.linear b hb
 #align trivialization.linear Trivialization.linear
+-/
 
 #print Trivialization.toPretrivialization.isLinear /-
 instance toPretrivialization.isLinear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
@@ -216,17 +236,21 @@ def linearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) (hb : b 
 
 variable {R}
 
+#print Trivialization.linearEquivAt_apply /-
 @[simp]
 theorem linearEquivAt_apply (e : Trivialization F (π E)) [e.isLinear R] (b : B) (hb : b ∈ e.baseSet)
     (v : E b) : e.linearEquivAt R b hb v = (e (totalSpaceMk b v)).2 :=
   rfl
 #align trivialization.linear_equiv_at_apply Trivialization.linearEquivAt_apply
+-/
 
+#print Trivialization.linearEquivAt_symm_apply /-
 @[simp]
 theorem linearEquivAt_symm_apply (e : Trivialization F (π E)) [e.isLinear R] (b : B)
     (hb : b ∈ e.baseSet) (v : F) : (e.linearEquivAt R b hb).symm v = e.symm b v :=
   rfl
 #align trivialization.linear_equiv_at_symm_apply Trivialization.linearEquivAt_symm_apply
+-/
 
 variable (R)
 
@@ -239,9 +263,11 @@ protected def symmₗ (e : Trivialization F (π E)) [e.isLinear R] (b : B) : F 
 
 variable {R}
 
+#print Trivialization.coe_symmₗ /-
 theorem coe_symmₗ (e : Trivialization F (π E)) [e.isLinear R] (b : B) : ⇑(e.symmₗ R b) = e.symm b :=
   rfl
 #align trivialization.coe_symmₗ Trivialization.coe_symmₗ
+-/
 
 variable (R)
 
@@ -254,40 +280,54 @@ protected def linearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) :
 
 variable {R}
 
+#print Trivialization.coe_linearMapAt /-
 theorem coe_linearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) :
     ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 :=
   e.toPretrivialization.coe_linearMapAt b
 #align trivialization.coe_linear_map_at Trivialization.coe_linearMapAt
+-/
 
+#print Trivialization.coe_linearMapAt_of_mem /-
 theorem coe_linearMapAt_of_mem (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e (totalSpaceMk b y)).2 := by
   simp_rw [coe_linear_map_at, if_pos hb]
 #align trivialization.coe_linear_map_at_of_mem Trivialization.coe_linearMapAt_of_mem
+-/
 
+#print Trivialization.linearMapAt_apply /-
 theorem linearMapAt_apply (e : Trivialization F (π E)) [e.isLinear R] {b : B} (y : E b) :
     e.linearMapAt R b y = if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
   rw [coe_linear_map_at]
 #align trivialization.linear_map_at_apply Trivialization.linearMapAt_apply
+-/
 
+#print Trivialization.linearMapAt_def_of_mem /-
 theorem linearMapAt_def_of_mem (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : e.linearMapAt R b = e.linearEquivAt R b hb :=
   dif_pos hb
 #align trivialization.linear_map_at_def_of_mem Trivialization.linearMapAt_def_of_mem
+-/
 
+#print Trivialization.linearMapAt_def_of_not_mem /-
 theorem linearMapAt_def_of_not_mem (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
   dif_neg hb
 #align trivialization.linear_map_at_def_of_not_mem Trivialization.linearMapAt_def_of_not_mem
+-/
 
+#print Trivialization.symmₗ_linearMapAt /-
 theorem symmₗ_linearMapAt (e : Trivialization F (π E)) [e.isLinear R] {b : B} (hb : b ∈ e.baseSet)
     (y : E b) : e.symmₗ R b (e.linearMapAt R b y) = y :=
   e.toPretrivialization.symmₗ_linearMapAt hb y
 #align trivialization.symmₗ_linear_map_at Trivialization.symmₗ_linearMapAt
+-/
 
+#print Trivialization.linearMapAt_symmₗ /-
 theorem linearMapAt_symmₗ (e : Trivialization F (π E)) [e.isLinear R] {b : B} (hb : b ∈ e.baseSet)
     (y : F) : e.linearMapAt R b (e.symmₗ R b y) = y :=
   e.toPretrivialization.linearMapAt_symmₗ hb y
 #align trivialization.linear_map_at_symmₗ Trivialization.linearMapAt_symmₗ
+-/
 
 variable (R)
 
@@ -325,19 +365,24 @@ def coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R]
 
 variable {R}
 
+#print Trivialization.coe_coordChangeL /-
 theorem coe_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     ⇑(coordChangeL R e e' b) = (e.linearEquivAt R b hb.1).symm.trans (e'.linearEquivAt R b hb.2) :=
   congr_arg LinearEquiv.toFun (dif_pos hb)
 #align trivialization.coe_coord_changeL Trivialization.coe_coordChangeL
+-/
 
+#print Trivialization.coe_coordChangeL' /-
 theorem coe_coordChangeL' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     (coordChangeL R e e' b).toLinearEquiv =
       (e.linearEquivAt R b hb.1).symm.trans (e'.linearEquivAt R b hb.2) :=
   LinearEquiv.coe_injective (coe_coordChangeL _ _ _)
 #align trivialization.coe_coord_changeL' Trivialization.coe_coordChangeL'
+-/
 
+#print Trivialization.symm_coordChangeL /-
 theorem symm_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e'.baseSet ∩ e.baseSet) : (e.coordChangeL R e' b).symm = e'.coordChangeL R e b :=
   by
@@ -345,13 +390,17 @@ theorem symm_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.is
   rw [coe_coord_changeL' e' e hb, (coord_changeL R e e' b).symm_toLinearEquiv,
     coe_coord_changeL' e e' hb.symm, LinearEquiv.trans_symm, LinearEquiv.symm_symm]
 #align trivialization.symm_coord_changeL Trivialization.symm_coordChangeL
+-/
 
+#print Trivialization.coordChangeL_apply /-
 theorem coordChangeL_apply (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) :
     coordChangeL R e e' b y = (e' (totalSpaceMk b (e.symm b y))).2 :=
   congr_arg (fun f => LinearEquiv.toFun f y) (dif_pos hb)
 #align trivialization.coord_changeL_apply Trivialization.coordChangeL_apply
+-/
 
+#print Trivialization.mk_coordChangeL /-
 theorem mk_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) :
     (b, coordChangeL R e e' b y) = e' (totalSpaceMk b (e.symm b y)) :=
@@ -361,13 +410,17 @@ theorem mk_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLi
     rw [e.proj_symm_apply' hb.1]; exact hb.2
   · exact e.coord_changeL_apply e' hb y
 #align trivialization.mk_coord_changeL Trivialization.mk_coordChangeL
+-/
 
+#print Trivialization.apply_symm_apply_eq_coordChangeL /-
 theorem apply_symm_apply_eq_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R]
     [e'.isLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
     e' (e.toLocalHomeomorph.symm (b, v)) = (b, e.coordChangeL R e' b v) := by
   rw [e.mk_coord_changeL e' hb, e.mk_symm hb.1]
 #align trivialization.apply_symm_apply_eq_coord_changeL Trivialization.apply_symm_apply_eq_coordChangeL
+-/
 
+#print Trivialization.coordChangeL_apply' /-
 /-- A version of `coord_change_apply` that fully unfolds `coord_change`. The right-hand side is
 ugly, but has good definitional properties for specifically defined trivializations. -/
 theorem coordChangeL_apply' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
@@ -375,13 +428,16 @@ theorem coordChangeL_apply' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.
     coordChangeL R e e' b y = (e' (e.toLocalHomeomorph.symm (b, y))).2 := by
   rw [e.coord_changeL_apply e' hb, e.mk_symm hb.1]
 #align trivialization.coord_changeL_apply' Trivialization.coordChangeL_apply'
+-/
 
+#print Trivialization.coordChangeL_symm_apply /-
 theorem coordChangeL_symm_apply (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R]
     {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     ⇑(coordChangeL R e e' b).symm =
       (e'.linearEquivAt R b hb.2).symm.trans (e.linearEquivAt R b hb.1) :=
   congr_arg LinearEquiv.invFun (dif_pos hb)
 #align trivialization.coord_changeL_symm_apply Trivialization.coordChangeL_symm_apply
+-/
 
 end Trivialization
 
@@ -420,7 +476,7 @@ variable [NontriviallyNormedField R] [∀ x, AddCommMonoid (E x)] [∀ x, Module
   [∀ x, TopologicalSpace (E x)] [FiberBundle F E]
 
 #print VectorBundle /-
-/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`continuousOn_coord_change'] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`continuousOn_coord_change'] [] -/
 /-- The space `total_space E` (for `E : B → Type*` such that each `E x` is a topological vector
 space) has a topological vector space structure with fiber `F` (denoted with
 `vector_bundle R F E`) if around every point there is a fiber bundle trivialization
@@ -443,12 +499,14 @@ instance (priority := 100) trivialization_linear [VectorBundle R F E] (e : Trivi
 #align trivialization_linear trivialization_linear
 -/
 
+#print continuousOn_coordChange /-
 theorem continuousOn_coordChange [VectorBundle R F E] (e e' : Trivialization F (π E))
     [he : MemTrivializationAtlas e] [he' : MemTrivializationAtlas e'] :
     ContinuousOn (fun b => Trivialization.coordChangeL R e e' b : B → F →L[R] F)
       (e.baseSet ∩ e'.baseSet) :=
   VectorBundle.continuousOn_coord_change' R e e'
 #align continuous_on_coord_change continuousOn_coordChange
+-/
 
 namespace Trivialization
 
@@ -492,15 +550,19 @@ def symmL (e : Trivialization F (π E)) [e.isLinear R] (b : B) : F →L[R] E b :
 
 variable {R}
 
+#print Trivialization.symmL_continuousLinearMapAt /-
 theorem symmL_continuousLinearMapAt (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : E b) : e.symmL R b (e.continuousLinearMapAt R b y) = y :=
   e.symmₗ_linearMapAt hb y
 #align trivialization.symmL_continuous_linear_map_at Trivialization.symmL_continuousLinearMapAt
+-/
 
+#print Trivialization.continuousLinearMapAt_symmL /-
 theorem continuousLinearMapAt_symmL (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : F) : e.continuousLinearMapAt R b (e.symmL R b y) = y :=
   e.linearMapAt_symmₗ hb y
 #align trivialization.continuous_linear_map_at_symmL Trivialization.continuousLinearMapAt_symmL
+-/
 
 variable (R)
 
@@ -526,25 +588,32 @@ def continuousLinearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B)
 
 variable {R}
 
+#print Trivialization.coe_continuousLinearEquivAt_eq /-
 theorem coe_continuousLinearEquivAt_eq (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) :
     (e.continuousLinearEquivAt R b hb : E b → F) = e.continuousLinearMapAt R b :=
   (e.coe_linearMapAt_of_mem hb).symm
 #align trivialization.coe_continuous_linear_equiv_at_eq Trivialization.coe_continuousLinearEquivAt_eq
+-/
 
+#print Trivialization.symm_continuousLinearEquivAt_eq /-
 theorem symm_continuousLinearEquivAt_eq (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : ((e.continuousLinearEquivAt R b hb).symm : F → E b) = e.symmL R b :=
   rfl
 #align trivialization.symm_continuous_linear_equiv_at_eq Trivialization.symm_continuousLinearEquivAt_eq
+-/
 
+#print Trivialization.continuousLinearEquivAt_apply' /-
 @[simp]
 theorem continuousLinearEquivAt_apply' (e : Trivialization F (π E)) [e.isLinear R]
     (x : TotalSpace E) (hx : x ∈ e.source) :
     e.continuousLinearEquivAt R x.proj (e.mem_source.1 hx) x.2 = (e x).2 := by cases x; rfl
 #align trivialization.continuous_linear_equiv_at_apply' Trivialization.continuousLinearEquivAt_apply'
+-/
 
 variable (R)
 
+#print Trivialization.apply_eq_prod_continuousLinearEquivAt /-
 theorem apply_eq_prod_continuousLinearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B)
     (hb : b ∈ e.baseSet) (z : E b) : e ⟨b, z⟩ = (b, e.continuousLinearEquivAt R b hb z) :=
   by
@@ -554,15 +623,19 @@ theorem apply_eq_prod_continuousLinearEquivAt (e : Trivialization F (π E)) [e.i
     exact hb
   · simp only [coe_coe, continuous_linear_equiv_at_apply]
 #align trivialization.apply_eq_prod_continuous_linear_equiv_at Trivialization.apply_eq_prod_continuousLinearEquivAt
+-/
 
+#print Trivialization.zeroSection /-
 protected theorem zeroSection (e : Trivialization F (π E)) [e.isLinear R] {x : B}
     (hx : x ∈ e.baseSet) : e (zeroSection E x) = (x, 0) := by
   simp_rw [zero_section, total_space_mk, e.apply_eq_prod_continuous_linear_equiv_at R x hx 0,
     map_zero]
 #align trivialization.zero_section Trivialization.zeroSection
+-/
 
 variable {R}
 
+#print Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm /-
 theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π E)) [e.isLinear R]
     (b : B) (hb : b ∈ e.baseSet) (z : F) :
     e.toLocalHomeomorph.symm ⟨b, z⟩ = totalSpaceMk b ((e.continuousLinearEquivAt R b hb).symm z) :=
@@ -575,18 +648,19 @@ theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π
   simp_rw [e.right_inv h, coe_coe, e.apply_eq_prod_continuous_linear_equiv_at R b hb,
     ContinuousLinearEquiv.apply_symm_apply]
 #align trivialization.symm_apply_eq_mk_continuous_linear_equiv_at_symm Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm
+-/
 
+#print Trivialization.comp_continuousLinearEquivAt_eq_coord_change /-
 theorem comp_continuousLinearEquivAt_eq_coord_change (e e' : Trivialization F (π E)) [e.isLinear R]
     [e'.isLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     (e.continuousLinearEquivAt R b hb.1).symm.trans (e'.continuousLinearEquivAt R b hb.2) =
       coordChangeL R e e' b :=
   by ext v; rw [coord_changeL_apply e e' hb]; rfl
 #align trivialization.comp_continuous_linear_equiv_at_eq_coord_change Trivialization.comp_continuousLinearEquivAt_eq_coord_change
+-/
 
 end Trivialization
 
-include R F
-
 /-! ### Constructing vector bundles -/
 
 
@@ -650,25 +724,29 @@ instance toFiberBundleCoreCoe : Coe (VectorBundleCore R B F ι) (FiberBundleCore
   ⟨toFiberBundleCore⟩
 #align vector_bundle_core.to_fiber_bundle_core_coe VectorBundleCore.toFiberBundleCoreCoe
 
-include Z
-
+#print VectorBundleCore.coordChange_linear_comp /-
 theorem coordChange_linear_comp (i j k : ι) :
     ∀ x ∈ Z.baseSet i ∩ Z.baseSet j ∩ Z.baseSet k,
       (Z.coordChange j k x).comp (Z.coordChange i j x) = Z.coordChange i k x :=
   fun x hx => by ext v; exact Z.coord_change_comp i j k x hx v
 #align vector_bundle_core.coord_change_linear_comp VectorBundleCore.coordChange_linear_comp
+-/
 
+#print VectorBundleCore.Index /-
 /-- The index set of a vector bundle core, as a convenience function for dot notation -/
 @[nolint unused_arguments has_nonempty_instance]
 def Index :=
   ι
 #align vector_bundle_core.index VectorBundleCore.Index
+-/
 
+#print VectorBundleCore.Base /-
 /-- The base space of a vector bundle core, as a convenience function for dot notation-/
 @[nolint unused_arguments, reducible]
 def Base :=
   B
 #align vector_bundle_core.base VectorBundleCore.Base
+-/
 
 #print VectorBundleCore.Fiber /-
 /-- The fiber of a vector bundle core, as a convenience function for dot notation and
@@ -695,9 +773,11 @@ instance moduleFiber : ∀ x : B, Module R (Z.Fiber x) := by
 #align vector_bundle_core.module_fiber VectorBundleCore.moduleFiber
 -/
 
+#print VectorBundleCore.addCommGroupFiber /-
 instance addCommGroupFiber [AddCommGroup F] : ∀ x : B, AddCommGroup (Z.Fiber x) := by
   dsimp [VectorBundleCore.Fiber] <;> delta_instance fiber_bundle_core.fiber
 #align vector_bundle_core.add_comm_group_fiber VectorBundleCore.addCommGroupFiber
+-/
 
 #print VectorBundleCore.proj /-
 /-- The projection from the total space of a fiber bundle core, on its base. -/
@@ -717,16 +797,20 @@ protected def TotalSpace :=
 #align vector_bundle_core.total_space VectorBundleCore.TotalSpace
 -/
 
+#print VectorBundleCore.trivChange /-
 /-- Local homeomorphism version of the trivialization change. -/
 def trivChange (i j : ι) : LocalHomeomorph (B × F) (B × F) :=
   FiberBundleCore.trivChange (↑Z) i j
 #align vector_bundle_core.triv_change VectorBundleCore.trivChange
+-/
 
+#print VectorBundleCore.mem_trivChange_source /-
 @[simp, mfld_simps]
 theorem mem_trivChange_source (i j : ι) (p : B × F) :
     p ∈ (Z.trivChange i j).source ↔ p.1 ∈ Z.baseSet i ∩ Z.baseSet j :=
   FiberBundleCore.mem_trivChange_source (↑Z) i j p
 #align vector_bundle_core.mem_triv_change_source VectorBundleCore.mem_trivChange_source
+-/
 
 #print VectorBundleCore.toTopologicalSpace /-
 /-- Topological structure on the total space of a vector bundle created from core, designed so
@@ -738,10 +822,12 @@ instance toTopologicalSpace : TopologicalSpace Z.TotalSpace :=
 
 variable (b : B) (a : F)
 
+#print VectorBundleCore.coe_coordChange /-
 @[simp, mfld_simps]
 theorem coe_coordChange (i j : ι) : Z.toFiberBundleCore.coordChange i j b = Z.coordChange i j b :=
   rfl
 #align vector_bundle_core.coe_coord_change VectorBundleCore.coe_coordChange
+-/
 
 #print VectorBundleCore.localTriv /-
 /-- One of the standard local trivializations of a vector bundle constructed from core, taken by
@@ -765,40 +851,53 @@ instance localTriv.isLinear (i : ι) : (Z.localTriv i).isLinear R
 
 variable (i j : ι)
 
+#print VectorBundleCore.mem_localTriv_source /-
 @[simp, mfld_simps]
 theorem mem_localTriv_source (p : Z.TotalSpace) : p ∈ (Z.localTriv i).source ↔ p.1 ∈ Z.baseSet i :=
   by dsimp [VectorBundleCore.Fiber] <;> exact Iff.rfl
 #align vector_bundle_core.mem_local_triv_source VectorBundleCore.mem_localTriv_source
+-/
 
+#print VectorBundleCore.baseSet_at /-
 @[simp, mfld_simps]
 theorem baseSet_at : Z.baseSet i = (Z.localTriv i).baseSet :=
   rfl
 #align vector_bundle_core.base_set_at VectorBundleCore.baseSet_at
+-/
 
+#print VectorBundleCore.localTriv_apply /-
 @[simp, mfld_simps]
 theorem localTriv_apply (p : Z.TotalSpace) :
     (Z.localTriv i) p = ⟨p.1, Z.coordChange (Z.indexAt p.1) i p.1 p.2⟩ :=
   rfl
 #align vector_bundle_core.local_triv_apply VectorBundleCore.localTriv_apply
+-/
 
+#print VectorBundleCore.mem_localTriv_target /-
 @[simp, mfld_simps]
 theorem mem_localTriv_target (p : B × F) :
     p ∈ (Z.localTriv i).target ↔ p.1 ∈ (Z.localTriv i).baseSet :=
   Z.toFiberBundleCore.mem_localTriv_target i p
 #align vector_bundle_core.mem_local_triv_target VectorBundleCore.mem_localTriv_target
+-/
 
+#print VectorBundleCore.localTriv_symm_fst /-
 @[simp, mfld_simps]
 theorem localTriv_symm_fst (p : B × F) :
     (Z.localTriv i).toLocalHomeomorph.symm p = ⟨p.1, Z.coordChange i (Z.indexAt p.1) p.1 p.2⟩ :=
   rfl
 #align vector_bundle_core.local_triv_symm_fst VectorBundleCore.localTriv_symm_fst
+-/
 
+#print VectorBundleCore.localTriv_symm_apply /-
 @[simp, mfld_simps]
 theorem localTriv_symm_apply {b : B} (hb : b ∈ Z.baseSet i) (v : F) :
     (Z.localTriv i).symm b v = Z.coordChange i (Z.indexAt b) b v := by
   apply (Z.local_triv i).symm_apply hb v
 #align vector_bundle_core.local_triv_symm_apply VectorBundleCore.localTriv_symm_apply
+-/
 
+#print VectorBundleCore.localTriv_coordChange_eq /-
 @[simp, mfld_simps]
 theorem localTriv_coordChange_eq {b : B} (hb : b ∈ Z.baseSet i ∩ Z.baseSet j) (v : F) :
     (Z.localTriv i).coordChangeL R (Z.localTriv j) b v = Z.coordChange i j b v :=
@@ -806,6 +905,7 @@ theorem localTriv_coordChange_eq {b : B} (hb : b ∈ Z.baseSet i ∩ Z.baseSet j
   rw [Trivialization.coordChangeL_apply', local_triv_symm_fst, local_triv_apply, coord_change_comp]
   exacts [⟨⟨hb.1, Z.mem_base_set_at b⟩, hb.2⟩, hb]
 #align vector_bundle_core.local_triv_coord_change_eq VectorBundleCore.localTriv_coordChange_eq
+-/
 
 #print VectorBundleCore.localTrivAt /-
 /-- Preferred local trivialization of a vector bundle constructed from core, at a given point, as
@@ -815,30 +915,40 @@ def localTrivAt (b : B) : Trivialization F (π Z.Fiber) :=
 #align vector_bundle_core.local_triv_at VectorBundleCore.localTrivAt
 -/
 
+#print VectorBundleCore.localTrivAt_def /-
 @[simp, mfld_simps]
 theorem localTrivAt_def : Z.localTriv (Z.indexAt b) = Z.localTrivAt b :=
   rfl
 #align vector_bundle_core.local_triv_at_def VectorBundleCore.localTrivAt_def
+-/
 
+#print VectorBundleCore.mem_source_at /-
 @[simp, mfld_simps]
 theorem mem_source_at : (⟨b, a⟩ : Z.TotalSpace) ∈ (Z.localTrivAt b).source := by
   rw [local_triv_at, mem_local_triv_source]; exact Z.mem_base_set_at b
 #align vector_bundle_core.mem_source_at VectorBundleCore.mem_source_at
+-/
 
+#print VectorBundleCore.localTrivAt_apply /-
 @[simp, mfld_simps]
 theorem localTrivAt_apply (p : Z.TotalSpace) : (Z.localTrivAt p.1) p = ⟨p.1, p.2⟩ :=
   FiberBundleCore.localTrivAt_apply Z p
 #align vector_bundle_core.local_triv_at_apply VectorBundleCore.localTrivAt_apply
+-/
 
+#print VectorBundleCore.localTrivAt_apply_mk /-
 @[simp, mfld_simps]
 theorem localTrivAt_apply_mk (b : B) (a : F) : (Z.localTrivAt b) ⟨b, a⟩ = ⟨b, a⟩ :=
   Z.localTrivAt_apply _
 #align vector_bundle_core.local_triv_at_apply_mk VectorBundleCore.localTrivAt_apply_mk
+-/
 
+#print VectorBundleCore.mem_localTrivAt_baseSet /-
 @[simp, mfld_simps]
 theorem mem_localTrivAt_baseSet : b ∈ (Z.localTrivAt b).baseSet :=
   FiberBundleCore.mem_localTrivAt_baseSet Z b
 #align vector_bundle_core.mem_local_triv_at_base_set VectorBundleCore.mem_localTrivAt_baseSet
+-/
 
 #print VectorBundleCore.fiberBundle /-
 instance fiberBundle : FiberBundle F Z.Fiber :=
@@ -860,19 +970,24 @@ instance vectorBundle : VectorBundle R F Z.Fiber
 #align vector_bundle_core.vector_bundle VectorBundleCore.vectorBundle
 -/
 
+#print VectorBundleCore.continuous_proj /-
 /-- The projection on the base of a vector bundle created from core is continuous -/
 @[continuity]
 theorem continuous_proj : Continuous Z.proj :=
   FiberBundleCore.continuous_proj Z
 #align vector_bundle_core.continuous_proj VectorBundleCore.continuous_proj
+-/
 
+#print VectorBundleCore.isOpenMap_proj /-
 /-- The projection on the base of a vector bundle created from core is an open map -/
 theorem isOpenMap_proj : IsOpenMap Z.proj :=
   FiberBundleCore.isOpenMap_proj Z
 #align vector_bundle_core.is_open_map_proj VectorBundleCore.isOpenMap_proj
+-/
 
 variable {i j}
 
+#print VectorBundleCore.localTriv_continuousLinearMapAt /-
 @[simp, mfld_simps]
 theorem localTriv_continuousLinearMapAt {b : B} (hb : b ∈ Z.baseSet i) :
     (Z.localTriv i).continuousLinearMapAt R b = Z.coordChange (Z.indexAt b) i b :=
@@ -881,7 +996,9 @@ theorem localTriv_continuousLinearMapAt {b : B} (hb : b ∈ Z.baseSet i) :
   rw [(Z.local_triv i).continuousLinearMapAt_apply R, (Z.local_triv i).coe_linearMapAt_of_mem]
   exacts [rfl, hb]
 #align vector_bundle_core.local_triv_continuous_linear_map_at VectorBundleCore.localTriv_continuousLinearMapAt
+-/
 
+#print VectorBundleCore.trivializationAt_continuousLinearMapAt /-
 @[simp, mfld_simps]
 theorem trivializationAt_continuousLinearMapAt {b₀ b : B}
     (hb : b ∈ (trivializationAt F Z.Fiber b₀).baseSet) :
@@ -889,19 +1006,25 @@ theorem trivializationAt_continuousLinearMapAt {b₀ b : B}
       Z.coordChange (Z.indexAt b) (Z.indexAt b₀) b :=
   Z.localTriv_continuousLinearMapAt hb
 #align vector_bundle_core.trivialization_at_continuous_linear_map_at VectorBundleCore.trivializationAt_continuousLinearMapAt
+-/
 
+#print VectorBundleCore.localTriv_symmL /-
 @[simp, mfld_simps]
 theorem localTriv_symmL {b : B} (hb : b ∈ Z.baseSet i) :
     (Z.localTriv i).symmL R b = Z.coordChange i (Z.indexAt b) b := by ext1 v;
   rw [(Z.local_triv i).symmL_apply R, (Z.local_triv i).symm_apply]; exacts [rfl, hb]
 #align vector_bundle_core.local_triv_symmL VectorBundleCore.localTriv_symmL
+-/
 
+#print VectorBundleCore.trivializationAt_symmL /-
 @[simp, mfld_simps]
 theorem trivializationAt_symmL {b₀ b : B} (hb : b ∈ (trivializationAt F Z.Fiber b₀).baseSet) :
     (trivializationAt F Z.Fiber b₀).symmL R b = Z.coordChange (Z.indexAt b₀) (Z.indexAt b) b :=
   Z.localTriv_symmL hb
 #align vector_bundle_core.trivialization_at_symmL VectorBundleCore.trivializationAt_symmL
+-/
 
+#print VectorBundleCore.trivializationAt_coordChange_eq /-
 @[simp, mfld_simps]
 theorem trivializationAt_coordChange_eq {b₀ b₁ b : B}
     (hb : b ∈ (trivializationAt F Z.Fiber b₀).baseSet ∩ (trivializationAt F Z.Fiber b₁).baseSet)
@@ -910,6 +1033,7 @@ theorem trivializationAt_coordChange_eq {b₀ b₁ b : B}
       Z.coordChange (Z.indexAt b₀) (Z.indexAt b₁) b v :=
   Z.localTriv_coordChange_eq _ _ hb v
 #align vector_bundle_core.trivialization_at_coord_change_eq VectorBundleCore.trivializationAt_coordChange_eq
+-/
 
 end VectorBundleCore
 
@@ -970,19 +1094,24 @@ def coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
 #align vector_prebundle.coord_change VectorPrebundle.coordChange
 -/
 
+#print VectorPrebundle.continuousOn_coordChange /-
 theorem continuousOn_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) :
     ContinuousOn (a.coordChange he he') (e.baseSet ∩ e'.baseSet) :=
   (Classical.choose_spec (a.exists_coord_change e he e' he')).1
 #align vector_prebundle.continuous_on_coord_change VectorPrebundle.continuousOn_coordChange
+-/
 
+#print VectorPrebundle.coordChange_apply /-
 theorem coordChange_apply (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
     a.coordChange he he' b v = (e' (totalSpaceMk b (e.symm b v))).2 :=
   (Classical.choose_spec (a.exists_coord_change e he e' he')).2 b hb v
 #align vector_prebundle.coord_change_apply VectorPrebundle.coordChange_apply
+-/
 
+#print VectorPrebundle.mk_coordChange /-
 theorem mk_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
@@ -993,6 +1122,7 @@ theorem mk_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (
     rw [e.proj_symm_apply' hb.1]; exact hb.2
   · exact a.coord_change_apply he he' hb v
 #align vector_prebundle.mk_coord_change VectorPrebundle.mk_coordChange
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 #print VectorPrebundle.toFiberPrebundle /-
@@ -1038,30 +1168,38 @@ def trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R F E)
 #align vector_prebundle.trivialization_of_mem_pretrivialization_atlas VectorPrebundle.trivializationOfMemPretrivializationAtlas
 -/
 
+#print VectorPrebundle.linear_trivializationOfMemPretrivializationAtlas /-
 theorem linear_trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R F E)
     {e : Pretrivialization F (π E)} (he : e ∈ a.pretrivializationAtlas) :
     @Trivialization.IsLinear R B F _ _ _ _ a.totalSpaceTopology _ _ _ _
       (trivializationOfMemPretrivializationAtlas a he) :=
   { linear := (a.pretrivialization_linear' e he).linear }
 #align vector_prebundle.linear_of_mem_pretrivialization_atlas VectorPrebundle.linear_trivializationOfMemPretrivializationAtlas
+-/
 
 variable (a : VectorPrebundle R F E)
 
+#print VectorPrebundle.mem_trivialization_at_source /-
 theorem mem_trivialization_at_source (b : B) (x : E b) :
     totalSpaceMk b x ∈ (a.pretrivializationAt b).source :=
   a.toFiberPrebundle.mem_pretrivializationAt_source b x
 #align vector_prebundle.mem_trivialization_at_source VectorPrebundle.mem_trivialization_at_source
+-/
 
+#print VectorPrebundle.totalSpaceMk_preimage_source /-
 @[simp]
 theorem totalSpaceMk_preimage_source (b : B) :
     totalSpaceMk b ⁻¹' (a.pretrivializationAt b).source = univ :=
   a.toFiberPrebundle.totalSpaceMk_preimage_source b
 #align vector_prebundle.total_space_mk_preimage_source VectorPrebundle.totalSpaceMk_preimage_source
+-/
 
+#print VectorPrebundle.continuous_totalSpaceMk /-
 @[continuity]
 theorem continuous_totalSpaceMk (b : B) : @Continuous _ _ _ a.totalSpaceTopology (totalSpaceMk b) :=
   a.toFiberPrebundle.continuous_totalSpaceMk b
 #align vector_prebundle.continuous_total_space_mk VectorPrebundle.continuous_totalSpaceMk
+-/
 
 #print VectorPrebundle.toFiberBundle /-
 /-- Make a `fiber_bundle` from a `vector_prebundle`; auxiliary construction for
@@ -1071,6 +1209,7 @@ def toFiberBundle : @FiberBundle B F _ _ _ a.totalSpaceTopology _ :=
 #align vector_prebundle.to_fiber_bundle VectorPrebundle.toFiberBundle
 -/
 
+#print VectorPrebundle.to_vectorBundle /-
 /-- Make a `vector_bundle` from a `vector_prebundle`.  Concretely this means
 that, given a `vector_prebundle` structure for a sigma-type `E` -- which consists of a
 number of "pretrivializations" identifying parts of `E` with product spaces `U × F` -- one
@@ -1092,6 +1231,7 @@ theorem to_vectorBundle :
         Trivialization.coordChangeL_apply]
       exacts [rfl, hb] }
 #align vector_prebundle.to_vector_bundle VectorPrebundle.to_vectorBundle
+-/
 
 end VectorPrebundle
 
@@ -1139,6 +1279,7 @@ def inCoordinates (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y) : F →SL
 
 variable {F F'}
 
+#print ContinuousLinearMap.inCoordinates_eq /-
 /-- rewrite `in_coordinates` using continuous linear equivalences. -/
 theorem inCoordinates_eq (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y)
     (hx : x ∈ (trivializationAt F E x₀).baseSet) (hy : y ∈ (trivializationAt F' E' y₀).baseSet) :
@@ -1151,7 +1292,9 @@ theorem inCoordinates_eq (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y)
   simp_rw [in_coordinates, ContinuousLinearMap.coe_comp', ContinuousLinearEquiv.coe_coe,
     Trivialization.coe_continuousLinearEquivAt_eq, Trivialization.symm_continuousLinearEquivAt_eq]
 #align continuous_linear_map.in_coordinates_eq ContinuousLinearMap.inCoordinates_eq
+-/
 
+#print VectorBundleCore.inCoordinates_eq /-
 /-- rewrite `in_coordinates` in a `vector_bundle_core`. -/
 protected theorem VectorBundleCore.inCoordinates_eq {ι ι'} (Z : VectorBundleCore 𝕜₁ B F ι)
     (Z' : VectorBundleCore 𝕜₂ B' F' ι') {x₀ x : B} {y₀ y : B'} (ϕ : F →SL[σ] F')
@@ -1163,6 +1306,7 @@ protected theorem VectorBundleCore.inCoordinates_eq {ι ι'} (Z : VectorBundleCo
   simp_rw [in_coordinates, Z'.trivialization_at_continuous_linear_map_at hy,
     Z.trivialization_at_symmL hx]
 #align continuous_linear_map.vector_bundle_core.in_coordinates_eq VectorBundleCore.inCoordinates_eq
+-/
 
 end ContinuousLinearMap

bump to nightly-2023-06-08-23

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

d3cfe2e3

Diff

@@ -928,7 +928,7 @@ open TopologicalSpace
 open VectorBundle
 
 #print VectorPrebundle /-
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (e e' «expr ∈ » pretrivialization_atlas) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (e e' «expr ∈ » pretrivialization_atlas) -/
 /-- This structure permits to define a vector bundle when trivializations are given as local
 equivalences but there is not yet a topology on the total space or the fibers.
 The total space is hence given a topology in such a way that there is a fiber bundle structure for

bump to nightly-2023-06-04-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297

3fb4268b

Diff

@@ -420,7 +420,7 @@ variable [NontriviallyNormedField R] [∀ x, AddCommMonoid (E x)] [∀ x, Module
   [∀ x, TopologicalSpace (E x)] [FiberBundle F E]
 
 #print VectorBundle /-
-/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`continuousOn_coord_change'] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`continuousOn_coord_change'] [] -/
 /-- The space `total_space E` (for `E : B → Type*` such that each `E x` is a topological vector
 space) has a topological vector space structure with fiber `F` (denoted with
 `vector_bundle R F E`) if around every point there is a fiber bundle trivialization

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -77,7 +77,7 @@ variable {B F E} [Semiring R] [TopologicalSpace F] [TopologicalSpace B]
 /-- A mixin class for `pretrivialization`, stating that a pretrivialization is fiberwise linear with
 respect to given module structures on its fibers and the model fiber. -/
 protected class Pretrivialization.IsLinear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
-  [∀ x, Module R (E x)] (e : Pretrivialization F (π E)) : Prop where
+    [∀ x, Module R (E x)] (e : Pretrivialization F (π E)) : Prop where
   linear : ∀ b ∈ e.baseSet, IsLinearMap R fun x : E b => (e (totalSpaceMk b x)).2
 #align pretrivialization.is_linear Pretrivialization.IsLinear
 -/
@@ -181,7 +181,7 @@ variable (R) [TopologicalSpace (TotalSpace E)]
 /-- A mixin class for `trivialization`, stating that a trivialization is fiberwise linear with
 respect to given module structures on its fibers and the model fiber. -/
 protected class Trivialization.IsLinear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
-  [∀ x, Module R (E x)] (e : Trivialization F (π E)) : Prop where
+    [∀ x, Module R (E x)] (e : Trivialization F (π E)) : Prop where
   linear : ∀ b ∈ e.baseSet, IsLinearMap R fun x : E b => (e (totalSpaceMk b x)).2
 #align trivialization.is_linear Trivialization.IsLinear
 -/
@@ -804,7 +804,7 @@ theorem localTriv_coordChange_eq {b : B} (hb : b ∈ Z.baseSet i ∩ Z.baseSet j
     (Z.localTriv i).coordChangeL R (Z.localTriv j) b v = Z.coordChange i j b v :=
   by
   rw [Trivialization.coordChangeL_apply', local_triv_symm_fst, local_triv_apply, coord_change_comp]
-  exacts[⟨⟨hb.1, Z.mem_base_set_at b⟩, hb.2⟩, hb]
+  exacts [⟨⟨hb.1, Z.mem_base_set_at b⟩, hb.2⟩, hb]
 #align vector_bundle_core.local_triv_coord_change_eq VectorBundleCore.localTriv_coordChange_eq
 
 #print VectorBundleCore.localTrivAt /-
@@ -879,7 +879,7 @@ theorem localTriv_continuousLinearMapAt {b : B} (hb : b ∈ Z.baseSet i) :
   by
   ext1 v
   rw [(Z.local_triv i).continuousLinearMapAt_apply R, (Z.local_triv i).coe_linearMapAt_of_mem]
-  exacts[rfl, hb]
+  exacts [rfl, hb]
 #align vector_bundle_core.local_triv_continuous_linear_map_at VectorBundleCore.localTriv_continuousLinearMapAt
 
 @[simp, mfld_simps]
@@ -893,7 +893,7 @@ theorem trivializationAt_continuousLinearMapAt {b₀ b : B}
 @[simp, mfld_simps]
 theorem localTriv_symmL {b : B} (hb : b ∈ Z.baseSet i) :
     (Z.localTriv i).symmL R b = Z.coordChange i (Z.indexAt b) b := by ext1 v;
-  rw [(Z.local_triv i).symmL_apply R, (Z.local_triv i).symm_apply]; exacts[rfl, hb]
+  rw [(Z.local_triv i).symmL_apply R, (Z.local_triv i).symm_apply]; exacts [rfl, hb]
 #align vector_bundle_core.local_triv_symmL VectorBundleCore.localTriv_symmL
 
 @[simp, mfld_simps]
@@ -1090,7 +1090,7 @@ theorem to_vectorBundle :
       ext v
       rw [a.coord_change_apply he he' hb v, ContinuousLinearEquiv.coe_coe,
         Trivialization.coordChangeL_apply]
-      exacts[rfl, hb] }
+      exacts [rfl, hb] }
 #align vector_prebundle.to_vector_bundle VectorPrebundle.to_vectorBundle
 
 end VectorPrebundle

bump to nightly-2023-06-01-04

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

4d9eaa85

Diff

@@ -927,6 +927,7 @@ open TopologicalSpace
 
 open VectorBundle
 
+#print VectorPrebundle /-
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (e e' «expr ∈ » pretrivialization_atlas) -/
 /-- This structure permits to define a vector bundle when trivializations are given as local
 equivalences but there is not yet a topology on the total space or the fibers.
@@ -954,17 +955,20 @@ structure VectorPrebundle where
             f b v = (e' (totalSpaceMk b (e.symm b v))).2
   totalSpaceMk_inducing : ∀ b : B, Inducing (pretrivialization_at b ∘ totalSpaceMk b)
 #align vector_prebundle VectorPrebundle
+-/
 
 namespace VectorPrebundle
 
 variable {R E F}
 
+#print VectorPrebundle.coordChange /-
 /-- A randomly chosen coordinate change on a `vector_prebundle`, given by
   the field `exists_coord_change`. -/
 def coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) (b : B) : F →L[R] F :=
   Classical.choose (a.exists_coord_change e he e' he') b
 #align vector_prebundle.coord_change VectorPrebundle.coordChange
+-/
 
 theorem continuousOn_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) :
@@ -991,6 +995,7 @@ theorem mk_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (
 #align vector_prebundle.mk_coord_change VectorPrebundle.mk_coordChange
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print VectorPrebundle.toFiberPrebundle /-
 /-- Natural identification of `vector_prebundle` as a `fiber_prebundle`. -/
 def toFiberPrebundle (a : VectorPrebundle R F E) : FiberPrebundle F E :=
   { a with
@@ -1014,12 +1019,16 @@ def toFiberPrebundle (a : VectorPrebundle R F E) : FiberPrebundle F E :=
       rw [a.mk_coord_change _ _ hb, e'.mk_symm hb.1]
       rfl }
 #align vector_prebundle.to_fiber_prebundle VectorPrebundle.toFiberPrebundle
+-/
 
+#print VectorPrebundle.totalSpaceTopology /-
 /-- Topology on the total space that will make the prebundle into a bundle. -/
 def totalSpaceTopology (a : VectorPrebundle R F E) : TopologicalSpace (TotalSpace E) :=
   a.toFiberPrebundle.totalSpaceTopology
 #align vector_prebundle.total_space_topology VectorPrebundle.totalSpaceTopology
+-/
 
+#print VectorPrebundle.trivializationOfMemPretrivializationAtlas /-
 /-- Promotion from a `trivialization` in the `pretrivialization_atlas` of a
 `vector_prebundle` to a `trivialization`. -/
 def trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R F E)
@@ -1027,6 +1036,7 @@ def trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R F E)
     @Trivialization B F _ _ _ a.totalSpaceTopology (π E) :=
   a.toFiberPrebundle.trivializationOfMemPretrivializationAtlas he
 #align vector_prebundle.trivialization_of_mem_pretrivialization_atlas VectorPrebundle.trivializationOfMemPretrivializationAtlas
+-/
 
 theorem linear_trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R F E)
     {e : Pretrivialization F (π E)} (he : e ∈ a.pretrivializationAtlas) :
@@ -1053,11 +1063,13 @@ theorem continuous_totalSpaceMk (b : B) : @Continuous _ _ _ a.totalSpaceTopology
   a.toFiberPrebundle.continuous_totalSpaceMk b
 #align vector_prebundle.continuous_total_space_mk VectorPrebundle.continuous_totalSpaceMk
 
+#print VectorPrebundle.toFiberBundle /-
 /-- Make a `fiber_bundle` from a `vector_prebundle`; auxiliary construction for
 `vector_prebundle.vector_bundle`. -/
 def toFiberBundle : @FiberBundle B F _ _ _ a.totalSpaceTopology _ :=
   a.toFiberPrebundle.toFiberBundle
 #align vector_prebundle.to_fiber_bundle VectorPrebundle.toFiberBundle
+-/
 
 /-- Make a `vector_bundle` from a `vector_prebundle`.  Concretely this means
 that, given a `vector_prebundle` structure for a sigma-type `E` -- which consists of a
@@ -1102,6 +1114,7 @@ variable [∀ x, TopologicalSpace (E' x)] [FiberBundle F' E'] [VectorBundle 𝕜
 
 variable (F E F' E')
 
+#print ContinuousLinearMap.inCoordinates /-
 /-- When `ϕ` is a continuous (semi)linear map between the fibers `E x` and `E' y` of two vector
 bundles `E` and `E'`, `continuous_linear_map.in_coordinates F E F' E' x₀ x y₀ y ϕ` is a coordinate
 change of this continuous linear map w.r.t. the chart around `x₀` and the chart around `y₀`.
@@ -1122,6 +1135,7 @@ def inCoordinates (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y) : F →SL
   ((trivializationAt F' E' y₀).continuousLinearMapAt 𝕜₂ y).comp <|
     ϕ.comp <| (trivializationAt F E x₀).symmL 𝕜₁ x
 #align continuous_linear_map.in_coordinates ContinuousLinearMap.inCoordinates
+-/
 
 variable {F F'}

bump to nightly-2023-05-29-03

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

d0f5dd0a

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri, Sebastien Gouezel, Heather Macbeth, Patrick Massot, Floris van Doorn
 
 ! This file was ported from Lean 3 source module topology.vector_bundle.basic
-! leanprover-community/mathlib commit 38df578a6450a8c5142b3727e3ae894c2300cae0
+! leanprover-community/mathlib commit f7ebde7ee0d1505dfccac8644ae12371aa3c1c9f
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -921,13 +921,12 @@ end
 section
 
 variable [NontriviallyNormedField R] [∀ x, AddCommMonoid (E x)] [∀ x, Module R (E x)]
-  [NormedAddCommGroup F] [NormedSpace R F] [TopologicalSpace B]
+  [NormedAddCommGroup F] [NormedSpace R F] [TopologicalSpace B] [∀ x, TopologicalSpace (E x)]
 
 open TopologicalSpace
 
 open VectorBundle
 
-#print VectorPrebundle /-
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (e e' «expr ∈ » pretrivialization_atlas) -/
 /-- This structure permits to define a vector bundle when trivializations are given as local
 equivalences but there is not yet a topology on the total space or the fibers.
@@ -953,21 +952,19 @@ structure VectorPrebundle where
         ContinuousOn f (e.baseSet ∩ e'.baseSet) ∧
           ∀ (b : B) (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F),
             f b v = (e' (totalSpaceMk b (e.symm b v))).2
+  totalSpaceMk_inducing : ∀ b : B, Inducing (pretrivialization_at b ∘ totalSpaceMk b)
 #align vector_prebundle VectorPrebundle
--/
 
 namespace VectorPrebundle
 
 variable {R E F}
 
-#print VectorPrebundle.coordChange /-
 /-- A randomly chosen coordinate change on a `vector_prebundle`, given by
   the field `exists_coord_change`. -/
 def coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) (b : B) : F →L[R] F :=
   Classical.choose (a.exists_coord_change e he e' he') b
 #align vector_prebundle.coord_change VectorPrebundle.coordChange
--/
 
 theorem continuousOn_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) :
@@ -994,7 +991,6 @@ theorem mk_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (
 #align vector_prebundle.mk_coord_change VectorPrebundle.mk_coordChange
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
-#print VectorPrebundle.toFiberPrebundle /-
 /-- Natural identification of `vector_prebundle` as a `fiber_prebundle`. -/
 def toFiberPrebundle (a : VectorPrebundle R F E) : FiberPrebundle F E :=
   { a with
@@ -1018,16 +1014,12 @@ def toFiberPrebundle (a : VectorPrebundle R F E) : FiberPrebundle F E :=
       rw [a.mk_coord_change _ _ hb, e'.mk_symm hb.1]
       rfl }
 #align vector_prebundle.to_fiber_prebundle VectorPrebundle.toFiberPrebundle
--/
 
-#print VectorPrebundle.totalSpaceTopology /-
 /-- Topology on the total space that will make the prebundle into a bundle. -/
 def totalSpaceTopology (a : VectorPrebundle R F E) : TopologicalSpace (TotalSpace E) :=
   a.toFiberPrebundle.totalSpaceTopology
 #align vector_prebundle.total_space_topology VectorPrebundle.totalSpaceTopology
--/
 
-#print VectorPrebundle.trivializationOfMemPretrivializationAtlas /-
 /-- Promotion from a `trivialization` in the `pretrivialization_atlas` of a
 `vector_prebundle` to a `trivialization`. -/
 def trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R F E)
@@ -1035,7 +1027,6 @@ def trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R F E)
     @Trivialization B F _ _ _ a.totalSpaceTopology (π E) :=
   a.toFiberPrebundle.trivializationOfMemPretrivializationAtlas he
 #align vector_prebundle.trivialization_of_mem_pretrivialization_atlas VectorPrebundle.trivializationOfMemPretrivializationAtlas
--/
 
 theorem linear_trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R F E)
     {e : Pretrivialization F (π E)} (he : e ∈ a.pretrivializationAtlas) :
@@ -1057,32 +1048,16 @@ theorem totalSpaceMk_preimage_source (b : B) :
   a.toFiberPrebundle.totalSpaceMk_preimage_source b
 #align vector_prebundle.total_space_mk_preimage_source VectorPrebundle.totalSpaceMk_preimage_source
 
-#print VectorPrebundle.fiberTopology /-
-/-- Topology on the fibers `E b` induced by the map `E b → E.total_space`. -/
-def fiberTopology (b : B) : TopologicalSpace (E b) :=
-  a.toFiberPrebundle.fiberTopology b
-#align vector_prebundle.fiber_topology VectorPrebundle.fiberTopology
--/
-
-@[continuity]
-theorem inducing_totalSpaceMk (b : B) :
-    @Inducing _ _ (a.fiberTopology b) a.totalSpaceTopology (totalSpaceMk b) :=
-  a.toFiberPrebundle.inducing_totalSpaceMk b
-#align vector_prebundle.inducing_total_space_mk VectorPrebundle.inducing_totalSpaceMk
-
 @[continuity]
-theorem continuous_totalSpaceMk (b : B) :
-    @Continuous _ _ (a.fiberTopology b) a.totalSpaceTopology (totalSpaceMk b) :=
+theorem continuous_totalSpaceMk (b : B) : @Continuous _ _ _ a.totalSpaceTopology (totalSpaceMk b) :=
   a.toFiberPrebundle.continuous_totalSpaceMk b
 #align vector_prebundle.continuous_total_space_mk VectorPrebundle.continuous_totalSpaceMk
 
-#print VectorPrebundle.toFiberBundle /-
 /-- Make a `fiber_bundle` from a `vector_prebundle`; auxiliary construction for
 `vector_prebundle.vector_bundle`. -/
-def toFiberBundle : @FiberBundle B F _ _ _ a.totalSpaceTopology a.fiberTopology :=
+def toFiberBundle : @FiberBundle B F _ _ _ a.totalSpaceTopology _ :=
   a.toFiberPrebundle.toFiberBundle
 #align vector_prebundle.to_fiber_bundle VectorPrebundle.toFiberBundle
--/
 
 /-- Make a `vector_bundle` from a `vector_prebundle`.  Concretely this means
 that, given a `vector_prebundle` structure for a sigma-type `E` -- which consists of a
@@ -1091,7 +1066,7 @@ establishes that for the topology constructed on the sigma-type using
 `vector_prebundle.total_space_topology`, these "pretrivializations" are actually
 "trivializations" (i.e., homeomorphisms with respect to the constructed topology). -/
 theorem to_vectorBundle :
-    @VectorBundle R _ F E _ _ _ _ _ _ a.totalSpaceTopology a.fiberTopology a.toFiberBundle :=
+    @VectorBundle R _ F E _ _ _ _ _ _ a.totalSpaceTopology _ a.toFiberBundle :=
   { trivialization_linear' := by
       rintro _ ⟨e, he, rfl⟩
       apply linear_of_mem_pretrivialization_atlas
@@ -1121,13 +1096,12 @@ variable [NormedSpace 𝕜₁ F] [∀ x, Module 𝕜₁ (E x)] [TopologicalSpace
 variable {F' : Type _} [NormedAddCommGroup F'] [NormedSpace 𝕜₂ F'] {E' : B' → Type _}
   [∀ x, AddCommMonoid (E' x)] [∀ x, Module 𝕜₂ (E' x)] [TopologicalSpace (TotalSpace E')]
 
-variable [∀ x, TopologicalSpace (E x)] [FiberBundle F E] [VectorBundle 𝕜₁ F E]
+variable [FiberBundle F E] [VectorBundle 𝕜₁ F E]
 
 variable [∀ x, TopologicalSpace (E' x)] [FiberBundle F' E'] [VectorBundle 𝕜₂ F' E']
 
 variable (F E F' E')
 
-#print ContinuousLinearMap.inCoordinates /-
 /-- When `ϕ` is a continuous (semi)linear map between the fibers `E x` and `E' y` of two vector
 bundles `E` and `E'`, `continuous_linear_map.in_coordinates F E F' E' x₀ x y₀ y ϕ` is a coordinate
 change of this continuous linear map w.r.t. the chart around `x₀` and the chart around `y₀`.
@@ -1148,7 +1122,6 @@ def inCoordinates (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y) : F →SL
   ((trivializationAt F' E' y₀).continuousLinearMapAt 𝕜₂ y).comp <|
     ϕ.comp <| (trivializationAt F E x₀).symmL 𝕜₁ x
 #align continuous_linear_map.in_coordinates ContinuousLinearMap.inCoordinates
--/
 
 variable {F F'}

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -65,7 +65,7 @@ noncomputable section
 
 open Bundle Set
 
-open Classical Bundle
+open scoped Classical Bundle
 
 variable (R : Type _) {B : Type _} (F : Type _) (E : B → Type _)

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -86,12 +86,6 @@ namespace Pretrivialization
 
 variable {F E} (e : Pretrivialization F (π E)) {x : TotalSpace E} {b : B} {y : E b}
 
-/- warning: pretrivialization.linear -> Pretrivialization.linear is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] (e : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_7 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_6 x)] [_inst_8 : Pretrivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) -> (IsLinearMap.{u1, u4, u3} R (E b) F _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (fun (x : E b) => Prod.snd.{u2, u3} B F (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Pretrivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) e (Bundle.totalSpaceMk.{u2, u4} B E b x))))
-but is expected to have type
-  forall (R : Type.{u3}) {B : Type.{u1}} {F : Type.{u4}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u3} R] [_inst_2 : TopologicalSpace.{u4} F] [_inst_3 : TopologicalSpace.{u1} B] (e : Pretrivialization.{u1, u4, max u1 u2} B F (Bundle.TotalSpace.{u1, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u1, u2} B E)) [_inst_4 : AddCommMonoid.{u4} F] [_inst_5 : Module.{u3, u4} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_7 : forall (x : B), Module.{u3, u2} R (E x) _inst_1 (_inst_6 x)] [_inst_8 : Pretrivialization.IsLinear.{u3, u1, u4, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B}, (Membership.mem.{u1, u1} B (Set.{u1} B) (Set.instMembershipSet.{u1} B) b (Pretrivialization.baseSet.{u1, u4, max u1 u2} B F (Bundle.TotalSpace.{u1, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u1, u2} B E) e)) -> (IsLinearMap.{u3, u2, u4} R (E b) F _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (fun (x : E b) => Prod.snd.{u1, u4} B F (Pretrivialization.toFun'.{u1, u4, max u1 u2} B F (Bundle.TotalSpace.{u1, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u1, u2} B E) e (Bundle.totalSpaceMk.{u1, u2} B E b x))))
-Case conversion may be inaccurate. Consider using '#align pretrivialization.linear Pretrivialization.linearₓ'. -/
 theorem linear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)] [∀ x, Module R (E x)]
     [e.isLinear R] {b : B} (hb : b ∈ e.baseSet) :
     IsLinearMap R fun x : E b => (e (totalSpaceMk b x)).2 :=
@@ -139,65 +133,41 @@ protected def linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B
 
 variable {R}
 
-/- warning: pretrivialization.coe_linear_map_at -> Pretrivialization.coe_linearMapAt is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align pretrivialization.coe_linear_map_at Pretrivialization.coe_linearMapAtₓ'. -/
 theorem coe_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B) :
     ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
   rw [Pretrivialization.linearMapAt]; split_ifs <;> rfl
 #align pretrivialization.coe_linear_map_at Pretrivialization.coe_linearMapAt
 
-/- warning: pretrivialization.coe_linear_map_at_of_mem -> Pretrivialization.coe_linearMapAt_of_mem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align pretrivialization.coe_linear_map_at_of_mem Pretrivialization.coe_linearMapAt_of_memₓ'. -/
 theorem coe_linearMapAt_of_mem (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e (totalSpaceMk b y)).2 := by
   simp_rw [coe_linear_map_at, if_pos hb]
 #align pretrivialization.coe_linear_map_at_of_mem Pretrivialization.coe_linearMapAt_of_mem
 
-/- warning: pretrivialization.linear_map_at_apply -> Pretrivialization.linearMapAt_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_apply Pretrivialization.linearMapAt_applyₓ'. -/
 theorem linearMapAt_apply (e : Pretrivialization F (π E)) [e.isLinear R] {b : B} (y : E b) :
     e.linearMapAt R b y = if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
   rw [coe_linear_map_at]
 #align pretrivialization.linear_map_at_apply Pretrivialization.linearMapAt_apply
 
-/- warning: pretrivialization.linear_map_at_def_of_mem -> Pretrivialization.linearMapAt_def_of_mem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_def_of_mem Pretrivialization.linearMapAt_def_of_memₓ'. -/
 theorem linearMapAt_def_of_mem (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : e.linearMapAt R b = e.linearEquivAt R b hb :=
   dif_pos hb
 #align pretrivialization.linear_map_at_def_of_mem Pretrivialization.linearMapAt_def_of_mem
 
-/- warning: pretrivialization.linear_map_at_def_of_not_mem -> Pretrivialization.linearMapAt_def_of_not_mem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_def_of_not_mem Pretrivialization.linearMapAt_def_of_not_memₓ'. -/
 theorem linearMapAt_def_of_not_mem (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
   dif_neg hb
 #align pretrivialization.linear_map_at_def_of_not_mem Pretrivialization.linearMapAt_def_of_not_mem
 
-/- warning: pretrivialization.linear_map_at_eq_zero -> Pretrivialization.linearMapAt_eq_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_eq_zero Pretrivialization.linearMapAt_eq_zeroₓ'. -/
 theorem linearMapAt_eq_zero (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
   dif_neg hb
 #align pretrivialization.linear_map_at_eq_zero Pretrivialization.linearMapAt_eq_zero
 
-/- warning: pretrivialization.symmₗ_linear_map_at -> Pretrivialization.symmₗ_linearMapAt is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align pretrivialization.symmₗ_linear_map_at Pretrivialization.symmₗ_linearMapAtₓ'. -/
 theorem symmₗ_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : E b) : e.symmₗ R b (e.linearMapAt R b y) = y := by
   rw [e.linear_map_at_def_of_mem hb]; exact (e.linear_equiv_at R b hb).left_inv y
 #align pretrivialization.symmₗ_linear_map_at Pretrivialization.symmₗ_linearMapAt
 
-/- warning: pretrivialization.linear_map_at_symmₗ -> Pretrivialization.linearMapAt_symmₗ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_symmₗ Pretrivialization.linearMapAt_symmₗₓ'. -/
 theorem linearMapAt_symmₗ (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : F) : e.linearMapAt R b (e.symmₗ R b y) = y := by
   rw [e.linear_map_at_def_of_mem hb]; exact (e.linear_equiv_at R b hb).right_inv y
@@ -220,9 +190,6 @@ namespace Trivialization
 
 variable (e : Trivialization F (π E)) {x : TotalSpace E} {b : B} {y : E b}
 
-/- warning: trivialization.linear -> Trivialization.linear is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.linear Trivialization.linearₓ'. -/
 protected theorem linear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
     [∀ x, Module R (E x)] [e.isLinear R] {b : B} (hb : b ∈ e.baseSet) :
     IsLinearMap R fun y : E b => (e (totalSpaceMk b y)).2 :=
@@ -249,18 +216,12 @@ def linearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) (hb : b 
 
 variable {R}
 
-/- warning: trivialization.linear_equiv_at_apply -> Trivialization.linearEquivAt_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.linear_equiv_at_apply Trivialization.linearEquivAt_applyₓ'. -/
 @[simp]
 theorem linearEquivAt_apply (e : Trivialization F (π E)) [e.isLinear R] (b : B) (hb : b ∈ e.baseSet)
     (v : E b) : e.linearEquivAt R b hb v = (e (totalSpaceMk b v)).2 :=
   rfl
 #align trivialization.linear_equiv_at_apply Trivialization.linearEquivAt_apply
 
-/- warning: trivialization.linear_equiv_at_symm_apply -> Trivialization.linearEquivAt_symm_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.linear_equiv_at_symm_apply Trivialization.linearEquivAt_symm_applyₓ'. -/
 @[simp]
 theorem linearEquivAt_symm_apply (e : Trivialization F (π E)) [e.isLinear R] (b : B)
     (hb : b ∈ e.baseSet) (v : F) : (e.linearEquivAt R b hb).symm v = e.symm b v :=
@@ -278,9 +239,6 @@ protected def symmₗ (e : Trivialization F (π E)) [e.isLinear R] (b : B) : F 
 
 variable {R}
 
-/- warning: trivialization.coe_symmₗ -> Trivialization.coe_symmₗ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.coe_symmₗ Trivialization.coe_symmₗₓ'. -/
 theorem coe_symmₗ (e : Trivialization F (π E)) [e.isLinear R] (b : B) : ⇑(e.symmₗ R b) = e.symm b :=
   rfl
 #align trivialization.coe_symmₗ Trivialization.coe_symmₗ
@@ -296,57 +254,36 @@ protected def linearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) :
 
 variable {R}
 
-/- warning: trivialization.coe_linear_map_at -> Trivialization.coe_linearMapAt is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.coe_linear_map_at Trivialization.coe_linearMapAtₓ'. -/
 theorem coe_linearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) :
     ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 :=
   e.toPretrivialization.coe_linearMapAt b
 #align trivialization.coe_linear_map_at Trivialization.coe_linearMapAt
 
-/- warning: trivialization.coe_linear_map_at_of_mem -> Trivialization.coe_linearMapAt_of_mem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.coe_linear_map_at_of_mem Trivialization.coe_linearMapAt_of_memₓ'. -/
 theorem coe_linearMapAt_of_mem (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e (totalSpaceMk b y)).2 := by
   simp_rw [coe_linear_map_at, if_pos hb]
 #align trivialization.coe_linear_map_at_of_mem Trivialization.coe_linearMapAt_of_mem
 
-/- warning: trivialization.linear_map_at_apply -> Trivialization.linearMapAt_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.linear_map_at_apply Trivialization.linearMapAt_applyₓ'. -/
 theorem linearMapAt_apply (e : Trivialization F (π E)) [e.isLinear R] {b : B} (y : E b) :
     e.linearMapAt R b y = if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
   rw [coe_linear_map_at]
 #align trivialization.linear_map_at_apply Trivialization.linearMapAt_apply
 
-/- warning: trivialization.linear_map_at_def_of_mem -> Trivialization.linearMapAt_def_of_mem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.linear_map_at_def_of_mem Trivialization.linearMapAt_def_of_memₓ'. -/
 theorem linearMapAt_def_of_mem (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : e.linearMapAt R b = e.linearEquivAt R b hb :=
   dif_pos hb
 #align trivialization.linear_map_at_def_of_mem Trivialization.linearMapAt_def_of_mem
 
-/- warning: trivialization.linear_map_at_def_of_not_mem -> Trivialization.linearMapAt_def_of_not_mem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.linear_map_at_def_of_not_mem Trivialization.linearMapAt_def_of_not_memₓ'. -/
 theorem linearMapAt_def_of_not_mem (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
   dif_neg hb
 #align trivialization.linear_map_at_def_of_not_mem Trivialization.linearMapAt_def_of_not_mem
 
-/- warning: trivialization.symmₗ_linear_map_at -> Trivialization.symmₗ_linearMapAt is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.symmₗ_linear_map_at Trivialization.symmₗ_linearMapAtₓ'. -/
 theorem symmₗ_linearMapAt (e : Trivialization F (π E)) [e.isLinear R] {b : B} (hb : b ∈ e.baseSet)
     (y : E b) : e.symmₗ R b (e.linearMapAt R b y) = y :=
   e.toPretrivialization.symmₗ_linearMapAt hb y
 #align trivialization.symmₗ_linear_map_at Trivialization.symmₗ_linearMapAt
 
-/- warning: trivialization.linear_map_at_symmₗ -> Trivialization.linearMapAt_symmₗ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.linear_map_at_symmₗ Trivialization.linearMapAt_symmₗₓ'. -/
 theorem linearMapAt_symmₗ (e : Trivialization F (π E)) [e.isLinear R] {b : B} (hb : b ∈ e.baseSet)
     (y : F) : e.linearMapAt R b (e.symmₗ R b y) = y :=
   e.toPretrivialization.linearMapAt_symmₗ hb y
@@ -388,18 +325,12 @@ def coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R]
 
 variable {R}
 
-/- warning: trivialization.coe_coord_changeL -> Trivialization.coe_coordChangeL is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.coe_coord_changeL Trivialization.coe_coordChangeLₓ'. -/
 theorem coe_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     ⇑(coordChangeL R e e' b) = (e.linearEquivAt R b hb.1).symm.trans (e'.linearEquivAt R b hb.2) :=
   congr_arg LinearEquiv.toFun (dif_pos hb)
 #align trivialization.coe_coord_changeL Trivialization.coe_coordChangeL
 
-/- warning: trivialization.coe_coord_changeL' -> Trivialization.coe_coordChangeL' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.coe_coord_changeL' Trivialization.coe_coordChangeL'ₓ'. -/
 theorem coe_coordChangeL' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     (coordChangeL R e e' b).toLinearEquiv =
@@ -407,9 +338,6 @@ theorem coe_coordChangeL' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.is
   LinearEquiv.coe_injective (coe_coordChangeL _ _ _)
 #align trivialization.coe_coord_changeL' Trivialization.coe_coordChangeL'
 
-/- warning: trivialization.symm_coord_changeL -> Trivialization.symm_coordChangeL is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.symm_coord_changeL Trivialization.symm_coordChangeLₓ'. -/
 theorem symm_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e'.baseSet ∩ e.baseSet) : (e.coordChangeL R e' b).symm = e'.coordChangeL R e b :=
   by
@@ -418,18 +346,12 @@ theorem symm_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.is
     coe_coord_changeL' e e' hb.symm, LinearEquiv.trans_symm, LinearEquiv.symm_symm]
 #align trivialization.symm_coord_changeL Trivialization.symm_coordChangeL
 
-/- warning: trivialization.coord_changeL_apply -> Trivialization.coordChangeL_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.coord_changeL_apply Trivialization.coordChangeL_applyₓ'. -/
 theorem coordChangeL_apply (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) :
     coordChangeL R e e' b y = (e' (totalSpaceMk b (e.symm b y))).2 :=
   congr_arg (fun f => LinearEquiv.toFun f y) (dif_pos hb)
 #align trivialization.coord_changeL_apply Trivialization.coordChangeL_apply
 
-/- warning: trivialization.mk_coord_changeL -> Trivialization.mk_coordChangeL is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.mk_coord_changeL Trivialization.mk_coordChangeLₓ'. -/
 theorem mk_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) :
     (b, coordChangeL R e e' b y) = e' (totalSpaceMk b (e.symm b y)) :=
@@ -440,18 +362,12 @@ theorem mk_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLi
   · exact e.coord_changeL_apply e' hb y
 #align trivialization.mk_coord_changeL Trivialization.mk_coordChangeL
 
-/- warning: trivialization.apply_symm_apply_eq_coord_changeL -> Trivialization.apply_symm_apply_eq_coordChangeL is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.apply_symm_apply_eq_coord_changeL Trivialization.apply_symm_apply_eq_coordChangeLₓ'. -/
 theorem apply_symm_apply_eq_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R]
     [e'.isLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
     e' (e.toLocalHomeomorph.symm (b, v)) = (b, e.coordChangeL R e' b v) := by
   rw [e.mk_coord_changeL e' hb, e.mk_symm hb.1]
 #align trivialization.apply_symm_apply_eq_coord_changeL Trivialization.apply_symm_apply_eq_coordChangeL
 
-/- warning: trivialization.coord_changeL_apply' -> Trivialization.coordChangeL_apply' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.coord_changeL_apply' Trivialization.coordChangeL_apply'ₓ'. -/
 /-- A version of `coord_change_apply` that fully unfolds `coord_change`. The right-hand side is
 ugly, but has good definitional properties for specifically defined trivializations. -/
 theorem coordChangeL_apply' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
@@ -460,9 +376,6 @@ theorem coordChangeL_apply' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.
   rw [e.coord_changeL_apply e' hb, e.mk_symm hb.1]
 #align trivialization.coord_changeL_apply' Trivialization.coordChangeL_apply'
 
-/- warning: trivialization.coord_changeL_symm_apply -> Trivialization.coordChangeL_symm_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.coord_changeL_symm_apply Trivialization.coordChangeL_symm_applyₓ'. -/
 theorem coordChangeL_symm_apply (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R]
     {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     ⇑(coordChangeL R e e' b).symm =
@@ -530,9 +443,6 @@ instance (priority := 100) trivialization_linear [VectorBundle R F E] (e : Trivi
 #align trivialization_linear trivialization_linear
 -/
 
-/- warning: continuous_on_coord_change -> continuousOn_coordChange is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_on_coord_change continuousOn_coordChangeₓ'. -/
 theorem continuousOn_coordChange [VectorBundle R F E] (e e' : Trivialization F (π E))
     [he : MemTrivializationAtlas e] [he' : MemTrivializationAtlas e'] :
     ContinuousOn (fun b => Trivialization.coordChangeL R e e' b : B → F →L[R] F)
@@ -582,17 +492,11 @@ def symmL (e : Trivialization F (π E)) [e.isLinear R] (b : B) : F →L[R] E b :
 
 variable {R}
 
-/- warning: trivialization.symmL_continuous_linear_map_at -> Trivialization.symmL_continuousLinearMapAt is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.symmL_continuous_linear_map_at Trivialization.symmL_continuousLinearMapAtₓ'. -/
 theorem symmL_continuousLinearMapAt (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : E b) : e.symmL R b (e.continuousLinearMapAt R b y) = y :=
   e.symmₗ_linearMapAt hb y
 #align trivialization.symmL_continuous_linear_map_at Trivialization.symmL_continuousLinearMapAt
 
-/- warning: trivialization.continuous_linear_map_at_symmL -> Trivialization.continuousLinearMapAt_symmL is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.continuous_linear_map_at_symmL Trivialization.continuousLinearMapAt_symmLₓ'. -/
 theorem continuousLinearMapAt_symmL (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : F) : e.continuousLinearMapAt R b (e.symmL R b y) = y :=
   e.linearMapAt_symmₗ hb y
@@ -622,26 +526,17 @@ def continuousLinearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B)
 
 variable {R}
 
-/- warning: trivialization.coe_continuous_linear_equiv_at_eq -> Trivialization.coe_continuousLinearEquivAt_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.coe_continuous_linear_equiv_at_eq Trivialization.coe_continuousLinearEquivAt_eqₓ'. -/
 theorem coe_continuousLinearEquivAt_eq (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) :
     (e.continuousLinearEquivAt R b hb : E b → F) = e.continuousLinearMapAt R b :=
   (e.coe_linearMapAt_of_mem hb).symm
 #align trivialization.coe_continuous_linear_equiv_at_eq Trivialization.coe_continuousLinearEquivAt_eq
 
-/- warning: trivialization.symm_continuous_linear_equiv_at_eq -> Trivialization.symm_continuousLinearEquivAt_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.symm_continuous_linear_equiv_at_eq Trivialization.symm_continuousLinearEquivAt_eqₓ'. -/
 theorem symm_continuousLinearEquivAt_eq (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : ((e.continuousLinearEquivAt R b hb).symm : F → E b) = e.symmL R b :=
   rfl
 #align trivialization.symm_continuous_linear_equiv_at_eq Trivialization.symm_continuousLinearEquivAt_eq
 
-/- warning: trivialization.continuous_linear_equiv_at_apply' -> Trivialization.continuousLinearEquivAt_apply' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.continuous_linear_equiv_at_apply' Trivialization.continuousLinearEquivAt_apply'ₓ'. -/
 @[simp]
 theorem continuousLinearEquivAt_apply' (e : Trivialization F (π E)) [e.isLinear R]
     (x : TotalSpace E) (hx : x ∈ e.source) :
@@ -650,9 +545,6 @@ theorem continuousLinearEquivAt_apply' (e : Trivialization F (π E)) [e.isLinear
 
 variable (R)
 
-/- warning: trivialization.apply_eq_prod_continuous_linear_equiv_at -> Trivialization.apply_eq_prod_continuousLinearEquivAt is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.apply_eq_prod_continuous_linear_equiv_at Trivialization.apply_eq_prod_continuousLinearEquivAtₓ'. -/
 theorem apply_eq_prod_continuousLinearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B)
     (hb : b ∈ e.baseSet) (z : E b) : e ⟨b, z⟩ = (b, e.continuousLinearEquivAt R b hb z) :=
   by
@@ -663,9 +555,6 @@ theorem apply_eq_prod_continuousLinearEquivAt (e : Trivialization F (π E)) [e.i
   · simp only [coe_coe, continuous_linear_equiv_at_apply]
 #align trivialization.apply_eq_prod_continuous_linear_equiv_at Trivialization.apply_eq_prod_continuousLinearEquivAt
 
-/- warning: trivialization.zero_section -> Trivialization.zeroSection is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.zero_section Trivialization.zeroSectionₓ'. -/
 protected theorem zeroSection (e : Trivialization F (π E)) [e.isLinear R] {x : B}
     (hx : x ∈ e.baseSet) : e (zeroSection E x) = (x, 0) := by
   simp_rw [zero_section, total_space_mk, e.apply_eq_prod_continuous_linear_equiv_at R x hx 0,
@@ -674,9 +563,6 @@ protected theorem zeroSection (e : Trivialization F (π E)) [e.isLinear R] {x :
 
 variable {R}
 
-/- warning: trivialization.symm_apply_eq_mk_continuous_linear_equiv_at_symm -> Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.symm_apply_eq_mk_continuous_linear_equiv_at_symm Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symmₓ'. -/
 theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π E)) [e.isLinear R]
     (b : B) (hb : b ∈ e.baseSet) (z : F) :
     e.toLocalHomeomorph.symm ⟨b, z⟩ = totalSpaceMk b ((e.continuousLinearEquivAt R b hb).symm z) :=
@@ -690,9 +576,6 @@ theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π
     ContinuousLinearEquiv.apply_symm_apply]
 #align trivialization.symm_apply_eq_mk_continuous_linear_equiv_at_symm Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm
 
-/- warning: trivialization.comp_continuous_linear_equiv_at_eq_coord_change -> Trivialization.comp_continuousLinearEquivAt_eq_coord_change is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align trivialization.comp_continuous_linear_equiv_at_eq_coord_change Trivialization.comp_continuousLinearEquivAt_eq_coord_changeₓ'. -/
 theorem comp_continuousLinearEquivAt_eq_coord_change (e e' : Trivialization F (π E)) [e.isLinear R]
     [e'.isLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     (e.continuousLinearEquivAt R b hb.1).symm.trans (e'.continuousLinearEquivAt R b hb.2) =
@@ -769,33 +652,18 @@ instance toFiberBundleCoreCoe : Coe (VectorBundleCore R B F ι) (FiberBundleCore
 
 include Z
 
-/- warning: vector_bundle_core.coord_change_linear_comp -> VectorBundleCore.coordChange_linear_comp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.coord_change_linear_comp VectorBundleCore.coordChange_linear_compₓ'. -/
 theorem coordChange_linear_comp (i j k : ι) :
     ∀ x ∈ Z.baseSet i ∩ Z.baseSet j ∩ Z.baseSet k,
       (Z.coordChange j k x).comp (Z.coordChange i j x) = Z.coordChange i k x :=
   fun x hx => by ext v; exact Z.coord_change_comp i j k x hx v
 #align vector_bundle_core.coord_change_linear_comp VectorBundleCore.coordChange_linear_comp
 
-/- warning: vector_bundle_core.index -> VectorBundleCore.Index is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u_1}} {B : Type.{u_2}} {F : Type.{u_3}} [_inst_1 : NontriviallyNormedField.{u_1} R] [_inst_4 : NormedAddCommGroup.{u_3} F] [_inst_5 : NormedSpace.{u_1, u_3} R F (NontriviallyNormedField.toNormedField.{u_1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F _inst_4)] [_inst_6 : TopologicalSpace.{u_2} B] {ι : Type.{u_5}}, (VectorBundleCore.{u_1, u_2, u_3, u_5} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) -> Type.{u_5}
-but is expected to have type
-  forall {R : Type.{u_1}}, Type.{u_1}
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.index VectorBundleCore.Indexₓ'. -/
 /-- The index set of a vector bundle core, as a convenience function for dot notation -/
 @[nolint unused_arguments has_nonempty_instance]
 def Index :=
   ι
 #align vector_bundle_core.index VectorBundleCore.Index
 
-/- warning: vector_bundle_core.base -> VectorBundleCore.Base is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u_1}} {B : Type.{u_2}} {F : Type.{u_3}} [_inst_1 : NontriviallyNormedField.{u_1} R] [_inst_4 : NormedAddCommGroup.{u_3} F] [_inst_5 : NormedSpace.{u_1, u_3} R F (NontriviallyNormedField.toNormedField.{u_1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F _inst_4)] [_inst_6 : TopologicalSpace.{u_2} B] {ι : Type.{u_5}}, (VectorBundleCore.{u_1, u_2, u_3, u_5} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) -> Type.{u_2}
-but is expected to have type
-  forall {R : Type.{u_1}}, Type.{u_1}
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.base VectorBundleCore.Baseₓ'. -/
 /-- The base space of a vector bundle core, as a convenience function for dot notation-/
 @[nolint unused_arguments, reducible]
 def Base :=
@@ -827,12 +695,6 @@ instance moduleFiber : ∀ x : B, Module R (Z.Fiber x) := by
 #align vector_bundle_core.module_fiber VectorBundleCore.moduleFiber
 -/
 
-/- warning: vector_bundle_core.add_comm_group_fiber -> VectorBundleCore.addCommGroupFiber is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) [_inst_10 : AddCommGroup.{u3} F] (x : B), AddCommGroup.{u3} (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x)
-but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (_inst_10 : B), AddCommGroup.{u3} (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z _inst_10)
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.add_comm_group_fiber VectorBundleCore.addCommGroupFiberₓ'. -/
 instance addCommGroupFiber [AddCommGroup F] : ∀ x : B, AddCommGroup (Z.Fiber x) := by
   dsimp [VectorBundleCore.Fiber] <;> delta_instance fiber_bundle_core.fiber
 #align vector_bundle_core.add_comm_group_fiber VectorBundleCore.addCommGroupFiber
@@ -855,23 +717,11 @@ protected def TotalSpace :=
 #align vector_bundle_core.total_space VectorBundleCore.TotalSpace
 -/
 
-/- warning: vector_bundle_core.triv_change -> VectorBundleCore.trivChange is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}}, (VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) -> ι -> ι -> (LocalHomeomorph.{max u2 u3, max u2 u3} (Prod.{u2, u3} B F) (Prod.{u2, u3} B F) (Prod.topologicalSpace.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (Prod.topologicalSpace.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))))
-but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}}, (VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) -> ι -> ι -> (LocalHomeomorph.{max u3 u2, max u3 u2} (Prod.{u2, u3} B F) (Prod.{u2, u3} B F) (instTopologicalSpaceProd.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (instTopologicalSpaceProd.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))))
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.triv_change VectorBundleCore.trivChangeₓ'. -/
 /-- Local homeomorphism version of the trivialization change. -/
 def trivChange (i j : ι) : LocalHomeomorph (B × F) (B × F) :=
   FiberBundleCore.trivChange (↑Z) i j
 #align vector_bundle_core.triv_change VectorBundleCore.trivChange
 
-/- warning: vector_bundle_core.mem_triv_change_source -> VectorBundleCore.mem_trivChange_source is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
-  forall {R : Type.{u2}} {B : Type.{u4}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u2} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (i : ι) (j : ι) (p : Prod.{u4, u3} B F), Iff (Membership.mem.{max u4 u3, max u4 u3} (Prod.{u4, u3} B F) (Set.{max u4 u3} (Prod.{u4, u3} B F)) (Set.instMembershipSet.{max u4 u3} (Prod.{u4, u3} B F)) p (LocalEquiv.source.{max u4 u3, max u4 u3} (Prod.{u4, u3} B F) (Prod.{u4, u3} B F) (LocalHomeomorph.toLocalEquiv.{max u4 u3, max u4 u3} (Prod.{u4, u3} B F) (Prod.{u4, u3} B F) (instTopologicalSpaceProd.{u4, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (instTopologicalSpaceProd.{u4, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (VectorBundleCore.trivChange.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i j)))) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) (Prod.fst.{u4, u3} B F p) (Inter.inter.{u4} (Set.{u4} B) (Set.instInterSet.{u4} B) (VectorBundleCore.baseSet.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (VectorBundleCore.baseSet.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z j)))
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.mem_triv_change_source VectorBundleCore.mem_trivChange_sourceₓ'. -/
 @[simp, mfld_simps]
 theorem mem_trivChange_source (i j : ι) (p : B × F) :
     p ∈ (Z.trivChange i j).source ↔ p.1 ∈ Z.baseSet i ∩ Z.baseSet j :=
@@ -888,9 +738,6 @@ instance toTopologicalSpace : TopologicalSpace Z.TotalSpace :=
 
 variable (b : B) (a : F)
 
-/- warning: vector_bundle_core.coe_coord_change -> VectorBundleCore.coe_coordChange is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.coe_coord_change VectorBundleCore.coe_coordChangeₓ'. -/
 @[simp, mfld_simps]
 theorem coe_coordChange (i j : ι) : Z.toFiberBundleCore.coordChange i j b = Z.coordChange i j b :=
   rfl
@@ -918,64 +765,40 @@ instance localTriv.isLinear (i : ι) : (Z.localTriv i).isLinear R
 
 variable (i j : ι)
 
-/- warning: vector_bundle_core.mem_local_triv_source -> VectorBundleCore.mem_localTriv_source is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.mem_local_triv_source VectorBundleCore.mem_localTriv_sourceₓ'. -/
 @[simp, mfld_simps]
 theorem mem_localTriv_source (p : Z.TotalSpace) : p ∈ (Z.localTriv i).source ↔ p.1 ∈ Z.baseSet i :=
   by dsimp [VectorBundleCore.Fiber] <;> exact Iff.rfl
 #align vector_bundle_core.mem_local_triv_source VectorBundleCore.mem_localTriv_source
 
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 @[simp, mfld_simps]
 theorem baseSet_at : Z.baseSet i = (Z.localTriv i).baseSet :=
   rfl
 #align vector_bundle_core.base_set_at VectorBundleCore.baseSet_at
 
-/- warning: vector_bundle_core.local_triv_apply -> VectorBundleCore.localTriv_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_apply VectorBundleCore.localTriv_applyₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_apply (p : Z.TotalSpace) :
     (Z.localTriv i) p = ⟨p.1, Z.coordChange (Z.indexAt p.1) i p.1 p.2⟩ :=
   rfl
 #align vector_bundle_core.local_triv_apply VectorBundleCore.localTriv_apply
 
-/- warning: vector_bundle_core.mem_local_triv_target -> VectorBundleCore.mem_localTriv_target is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.mem_local_triv_target VectorBundleCore.mem_localTriv_targetₓ'. -/
 @[simp, mfld_simps]
 theorem mem_localTriv_target (p : B × F) :
     p ∈ (Z.localTriv i).target ↔ p.1 ∈ (Z.localTriv i).baseSet :=
   Z.toFiberBundleCore.mem_localTriv_target i p
 #align vector_bundle_core.mem_local_triv_target VectorBundleCore.mem_localTriv_target
 
-/- warning: vector_bundle_core.local_triv_symm_fst -> VectorBundleCore.localTriv_symm_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_symm_fst VectorBundleCore.localTriv_symm_fstₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_symm_fst (p : B × F) :
     (Z.localTriv i).toLocalHomeomorph.symm p = ⟨p.1, Z.coordChange i (Z.indexAt p.1) p.1 p.2⟩ :=
   rfl
 #align vector_bundle_core.local_triv_symm_fst VectorBundleCore.localTriv_symm_fst
 
-/- warning: vector_bundle_core.local_triv_symm_apply -> VectorBundleCore.localTriv_symm_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_symm_apply VectorBundleCore.localTriv_symm_applyₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_symm_apply {b : B} (hb : b ∈ Z.baseSet i) (v : F) :
     (Z.localTriv i).symm b v = Z.coordChange i (Z.indexAt b) b v := by
   apply (Z.local_triv i).symm_apply hb v
 #align vector_bundle_core.local_triv_symm_apply VectorBundleCore.localTriv_symm_apply
 
-/- warning: vector_bundle_core.local_triv_coord_change_eq -> VectorBundleCore.localTriv_coordChange_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_coord_change_eq VectorBundleCore.localTriv_coordChange_eqₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_coordChange_eq {b : B} (hb : b ∈ Z.baseSet i ∩ Z.baseSet j) (v : F) :
     (Z.localTriv i).coordChangeL R (Z.localTriv j) b v = Z.coordChange i j b v :=
@@ -992,50 +815,26 @@ def localTrivAt (b : B) : Trivialization F (π Z.Fiber) :=
 #align vector_bundle_core.local_triv_at VectorBundleCore.localTrivAt
 -/
 
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 @[simp, mfld_simps]
 theorem localTrivAt_def : Z.localTriv (Z.indexAt b) = Z.localTrivAt b :=
   rfl
 #align vector_bundle_core.local_triv_at_def VectorBundleCore.localTrivAt_def
 
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 @[simp, mfld_simps]
 theorem mem_source_at : (⟨b, a⟩ : Z.TotalSpace) ∈ (Z.localTrivAt b).source := by
   rw [local_triv_at, mem_local_triv_source]; exact Z.mem_base_set_at b
 #align vector_bundle_core.mem_source_at VectorBundleCore.mem_source_at
 
-/- warning: vector_bundle_core.local_triv_at_apply -> VectorBundleCore.localTrivAt_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_at_apply VectorBundleCore.localTrivAt_applyₓ'. -/
 @[simp, mfld_simps]
 theorem localTrivAt_apply (p : Z.TotalSpace) : (Z.localTrivAt p.1) p = ⟨p.1, p.2⟩ :=
   FiberBundleCore.localTrivAt_apply Z p
 #align vector_bundle_core.local_triv_at_apply VectorBundleCore.localTrivAt_apply
 
-/- warning: vector_bundle_core.local_triv_at_apply_mk -> VectorBundleCore.localTrivAt_apply_mk is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_at_apply_mk VectorBundleCore.localTrivAt_apply_mkₓ'. -/
 @[simp, mfld_simps]
 theorem localTrivAt_apply_mk (b : B) (a : F) : (Z.localTrivAt b) ⟨b, a⟩ = ⟨b, a⟩ :=
   Z.localTrivAt_apply _
 #align vector_bundle_core.local_triv_at_apply_mk VectorBundleCore.localTrivAt_apply_mk
 
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-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.mem_local_triv_at_base_set VectorBundleCore.mem_localTrivAt_baseSetₓ'. -/
 @[simp, mfld_simps]
 theorem mem_localTrivAt_baseSet : b ∈ (Z.localTrivAt b).baseSet :=
   FiberBundleCore.mem_localTrivAt_baseSet Z b
@@ -1061,24 +860,12 @@ instance vectorBundle : VectorBundle R F Z.Fiber
 #align vector_bundle_core.vector_bundle VectorBundleCore.vectorBundle
 -/
 
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-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.continuous_proj VectorBundleCore.continuous_projₓ'. -/
 /-- The projection on the base of a vector bundle created from core is continuous -/
 @[continuity]
 theorem continuous_proj : Continuous Z.proj :=
   FiberBundleCore.continuous_proj Z
 #align vector_bundle_core.continuous_proj VectorBundleCore.continuous_proj
 
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-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.is_open_map_proj VectorBundleCore.isOpenMap_projₓ'. -/
 /-- The projection on the base of a vector bundle created from core is an open map -/
 theorem isOpenMap_proj : IsOpenMap Z.proj :=
   FiberBundleCore.isOpenMap_proj Z
@@ -1086,9 +873,6 @@ theorem isOpenMap_proj : IsOpenMap Z.proj :=
 
 variable {i j}
 
-/- warning: vector_bundle_core.local_triv_continuous_linear_map_at -> VectorBundleCore.localTriv_continuousLinearMapAt is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_continuous_linear_map_at VectorBundleCore.localTriv_continuousLinearMapAtₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_continuousLinearMapAt {b : B} (hb : b ∈ Z.baseSet i) :
     (Z.localTriv i).continuousLinearMapAt R b = Z.coordChange (Z.indexAt b) i b :=
@@ -1098,9 +882,6 @@ theorem localTriv_continuousLinearMapAt {b : B} (hb : b ∈ Z.baseSet i) :
   exacts[rfl, hb]
 #align vector_bundle_core.local_triv_continuous_linear_map_at VectorBundleCore.localTriv_continuousLinearMapAt
 
-/- warning: vector_bundle_core.trivialization_at_continuous_linear_map_at -> VectorBundleCore.trivializationAt_continuousLinearMapAt is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.trivialization_at_continuous_linear_map_at VectorBundleCore.trivializationAt_continuousLinearMapAtₓ'. -/
 @[simp, mfld_simps]
 theorem trivializationAt_continuousLinearMapAt {b₀ b : B}
     (hb : b ∈ (trivializationAt F Z.Fiber b₀).baseSet) :
@@ -1109,27 +890,18 @@ theorem trivializationAt_continuousLinearMapAt {b₀ b : B}
   Z.localTriv_continuousLinearMapAt hb
 #align vector_bundle_core.trivialization_at_continuous_linear_map_at VectorBundleCore.trivializationAt_continuousLinearMapAt
 
-/- warning: vector_bundle_core.local_triv_symmL -> VectorBundleCore.localTriv_symmL is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_symmL VectorBundleCore.localTriv_symmLₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_symmL {b : B} (hb : b ∈ Z.baseSet i) :
     (Z.localTriv i).symmL R b = Z.coordChange i (Z.indexAt b) b := by ext1 v;
   rw [(Z.local_triv i).symmL_apply R, (Z.local_triv i).symm_apply]; exacts[rfl, hb]
 #align vector_bundle_core.local_triv_symmL VectorBundleCore.localTriv_symmL
 
-/- warning: vector_bundle_core.trivialization_at_symmL -> VectorBundleCore.trivializationAt_symmL is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.trivialization_at_symmL VectorBundleCore.trivializationAt_symmLₓ'. -/
 @[simp, mfld_simps]
 theorem trivializationAt_symmL {b₀ b : B} (hb : b ∈ (trivializationAt F Z.Fiber b₀).baseSet) :
     (trivializationAt F Z.Fiber b₀).symmL R b = Z.coordChange (Z.indexAt b₀) (Z.indexAt b) b :=
   Z.localTriv_symmL hb
 #align vector_bundle_core.trivialization_at_symmL VectorBundleCore.trivializationAt_symmL
 
-/- warning: vector_bundle_core.trivialization_at_coord_change_eq -> VectorBundleCore.trivializationAt_coordChange_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_bundle_core.trivialization_at_coord_change_eq VectorBundleCore.trivializationAt_coordChange_eqₓ'. -/
 @[simp, mfld_simps]
 theorem trivializationAt_coordChange_eq {b₀ b₁ b : B}
     (hb : b ∈ (trivializationAt F Z.Fiber b₀).baseSet ∩ (trivializationAt F Z.Fiber b₁).baseSet)
@@ -1197,18 +969,12 @@ def coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
 #align vector_prebundle.coord_change VectorPrebundle.coordChange
 -/
 
-/- warning: vector_prebundle.continuous_on_coord_change -> VectorPrebundle.continuousOn_coordChange is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_prebundle.continuous_on_coord_change VectorPrebundle.continuousOn_coordChangeₓ'. -/
 theorem continuousOn_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) :
     ContinuousOn (a.coordChange he he') (e.baseSet ∩ e'.baseSet) :=
   (Classical.choose_spec (a.exists_coord_change e he e' he')).1
 #align vector_prebundle.continuous_on_coord_change VectorPrebundle.continuousOn_coordChange
 
-/- warning: vector_prebundle.coord_change_apply -> VectorPrebundle.coordChange_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_prebundle.coord_change_apply VectorPrebundle.coordChange_applyₓ'. -/
 theorem coordChange_apply (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
@@ -1216,9 +982,6 @@ theorem coordChange_apply (a : VectorPrebundle R F E) {e e' : Pretrivialization
   (Classical.choose_spec (a.exists_coord_change e he e' he')).2 b hb v
 #align vector_prebundle.coord_change_apply VectorPrebundle.coordChange_apply
 
-/- warning: vector_prebundle.mk_coord_change -> VectorPrebundle.mk_coordChange is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align vector_prebundle.mk_coord_change VectorPrebundle.mk_coordChangeₓ'. -/
 theorem mk_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
@@ -1274,12 +1037,6 @@ def trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R F E)
 #align vector_prebundle.trivialization_of_mem_pretrivialization_atlas VectorPrebundle.trivializationOfMemPretrivializationAtlas
 -/
 
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-Case conversion may be inaccurate. Consider using '#align vector_prebundle.linear_of_mem_pretrivialization_atlas VectorPrebundle.linear_trivializationOfMemPretrivializationAtlasₓ'. -/
 theorem linear_trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R F E)
     {e : Pretrivialization F (π E)} (he : e ∈ a.pretrivializationAtlas) :
     @Trivialization.IsLinear R B F _ _ _ _ a.totalSpaceTopology _ _ _ _
@@ -1289,23 +1046,11 @@ theorem linear_trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R
 
 variable (a : VectorPrebundle R F E)
 
-/- warning: vector_prebundle.mem_trivialization_at_source -> VectorPrebundle.mem_trivialization_at_source is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align vector_prebundle.mem_trivialization_at_source VectorPrebundle.mem_trivialization_at_sourceₓ'. -/
 theorem mem_trivialization_at_source (b : B) (x : E b) :
     totalSpaceMk b x ∈ (a.pretrivializationAt b).source :=
   a.toFiberPrebundle.mem_pretrivializationAt_source b x
 #align vector_prebundle.mem_trivialization_at_source VectorPrebundle.mem_trivialization_at_source
 
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-Case conversion may be inaccurate. Consider using '#align vector_prebundle.total_space_mk_preimage_source VectorPrebundle.totalSpaceMk_preimage_sourceₓ'. -/
 @[simp]
 theorem totalSpaceMk_preimage_source (b : B) :
     totalSpaceMk b ⁻¹' (a.pretrivializationAt b).source = univ :=
@@ -1319,24 +1064,12 @@ def fiberTopology (b : B) : TopologicalSpace (E b) :=
 #align vector_prebundle.fiber_topology VectorPrebundle.fiberTopology
 -/
 
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-Case conversion may be inaccurate. Consider using '#align vector_prebundle.inducing_total_space_mk VectorPrebundle.inducing_totalSpaceMkₓ'. -/
 @[continuity]
 theorem inducing_totalSpaceMk (b : B) :
     @Inducing _ _ (a.fiberTopology b) a.totalSpaceTopology (totalSpaceMk b) :=
   a.toFiberPrebundle.inducing_totalSpaceMk b
 #align vector_prebundle.inducing_total_space_mk VectorPrebundle.inducing_totalSpaceMk
 
-/- warning: vector_prebundle.continuous_total_space_mk -> VectorPrebundle.continuous_totalSpaceMk is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align vector_prebundle.continuous_total_space_mk VectorPrebundle.continuous_totalSpaceMkₓ'. -/
 @[continuity]
 theorem continuous_totalSpaceMk (b : B) :
     @Continuous _ _ (a.fiberTopology b) a.totalSpaceTopology (totalSpaceMk b) :=
@@ -1351,12 +1084,6 @@ def toFiberBundle : @FiberBundle B F _ _ _ a.totalSpaceTopology a.fiberTopology
 #align vector_prebundle.to_fiber_bundle VectorPrebundle.toFiberBundle
 -/
 
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-Case conversion may be inaccurate. Consider using '#align vector_prebundle.to_vector_bundle VectorPrebundle.to_vectorBundleₓ'. -/
 /-- Make a `vector_bundle` from a `vector_prebundle`.  Concretely this means
 that, given a `vector_prebundle` structure for a sigma-type `E` -- which consists of a
 number of "pretrivializations" identifying parts of `E` with product spaces `U × F` -- one
@@ -1425,9 +1152,6 @@ def inCoordinates (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y) : F →SL
 
 variable {F F'}
 
-/- warning: continuous_linear_map.in_coordinates_eq -> ContinuousLinearMap.inCoordinates_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.in_coordinates_eq ContinuousLinearMap.inCoordinates_eqₓ'. -/
 /-- rewrite `in_coordinates` using continuous linear equivalences. -/
 theorem inCoordinates_eq (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y)
     (hx : x ∈ (trivializationAt F E x₀).baseSet) (hy : y ∈ (trivializationAt F' E' y₀).baseSet) :
@@ -1441,9 +1165,6 @@ theorem inCoordinates_eq (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y)
     Trivialization.coe_continuousLinearEquivAt_eq, Trivialization.symm_continuousLinearEquivAt_eq]
 #align continuous_linear_map.in_coordinates_eq ContinuousLinearMap.inCoordinates_eq
 
-/- warning: continuous_linear_map.vector_bundle_core.in_coordinates_eq -> VectorBundleCore.inCoordinates_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.vector_bundle_core.in_coordinates_eq VectorBundleCore.inCoordinates_eqₓ'. -/
 /-- rewrite `in_coordinates` in a `vector_bundle_core`. -/
 protected theorem VectorBundleCore.inCoordinates_eq {ι ι'} (Z : VectorBundleCore 𝕜₁ B F ι)
     (Z' : VectorBundleCore 𝕜₂ B' F' ι') {x₀ x : B} {y₀ y : B'} (ϕ : F →SL[σ] F')

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -111,8 +111,7 @@ protected def symmₗ (e : Pretrivialization F (π E)) [e.isLinear R] (b : B) :
     exact
       (((e.linear R hb).mk' _).inverse (e.symm b) (e.symm_apply_apply_mk hb) fun v =>
           congr_arg Prod.snd <| e.apply_mk_symm hb v).isLinear
-  · rw [e.coe_symm_of_not_mem hb]
-    exact (0 : F →ₗ[R] E b).isLinear
+  · rw [e.coe_symm_of_not_mem hb]; exact (0 : F →ₗ[R] E b).isLinear
 #align pretrivialization.symmₗ Pretrivialization.symmₗ
 -/
 
@@ -144,10 +143,8 @@ variable {R}
 <too large>
 Case conversion may be inaccurate. Consider using '#align pretrivialization.coe_linear_map_at Pretrivialization.coe_linearMapAtₓ'. -/
 theorem coe_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B) :
-    ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 :=
-  by
-  rw [Pretrivialization.linearMapAt]
-  split_ifs <;> rfl
+    ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
+  rw [Pretrivialization.linearMapAt]; split_ifs <;> rfl
 #align pretrivialization.coe_linear_map_at Pretrivialization.coe_linearMapAt
 
 /- warning: pretrivialization.coe_linear_map_at_of_mem -> Pretrivialization.coe_linearMapAt_of_mem is a dubious translation:
@@ -194,20 +191,16 @@ theorem linearMapAt_eq_zero (e : Pretrivialization F (π E)) [e.isLinear R] {b :
 <too large>
 Case conversion may be inaccurate. Consider using '#align pretrivialization.symmₗ_linear_map_at Pretrivialization.symmₗ_linearMapAtₓ'. -/
 theorem symmₗ_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
-    (hb : b ∈ e.baseSet) (y : E b) : e.symmₗ R b (e.linearMapAt R b y) = y :=
-  by
-  rw [e.linear_map_at_def_of_mem hb]
-  exact (e.linear_equiv_at R b hb).left_inv y
+    (hb : b ∈ e.baseSet) (y : E b) : e.symmₗ R b (e.linearMapAt R b y) = y := by
+  rw [e.linear_map_at_def_of_mem hb]; exact (e.linear_equiv_at R b hb).left_inv y
 #align pretrivialization.symmₗ_linear_map_at Pretrivialization.symmₗ_linearMapAt
 
 /- warning: pretrivialization.linear_map_at_symmₗ -> Pretrivialization.linearMapAt_symmₗ is a dubious translation:
 <too large>
 Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_symmₗ Pretrivialization.linearMapAt_symmₗₓ'. -/
 theorem linearMapAt_symmₗ (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
-    (hb : b ∈ e.baseSet) (y : F) : e.linearMapAt R b (e.symmₗ R b y) = y :=
-  by
-  rw [e.linear_map_at_def_of_mem hb]
-  exact (e.linear_equiv_at R b hb).right_inv y
+    (hb : b ∈ e.baseSet) (y : F) : e.linearMapAt R b (e.symmₗ R b y) = y := by
+  rw [e.linear_map_at_def_of_mem hb]; exact (e.linear_equiv_at R b hb).right_inv y
 #align pretrivialization.linear_map_at_symmₗ Pretrivialization.linearMapAt_symmₗ
 
 end Pretrivialization
@@ -380,8 +373,7 @@ def coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R]
           e.continuous_on_symm.comp_continuous (Continuous.Prod.mk b) fun y =>
             mk_mem_prod hb.1 (mem_univ y)
         exact fun y => e'.mem_source.mpr hb.2
-      · rw [dif_neg hb]
-        exact continuous_id
+      · rw [dif_neg hb]; exact continuous_id
     continuous_invFun := by
       by_cases hb : b ∈ e.base_set ∩ e'.base_set
       · simp_rw [dif_pos hb]
@@ -390,8 +382,7 @@ def coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R]
           e'.continuous_on_symm.comp_continuous (Continuous.Prod.mk b) fun y =>
             mk_mem_prod hb.2 (mem_univ y)
         exact fun y => e.mem_source.mpr hb.1
-      · rw [dif_neg hb]
-        exact continuous_id }
+      · rw [dif_neg hb]; exact continuous_id }
 #align trivialization.coord_changeL Trivialization.coordChangeL
 -/
 
@@ -445,8 +436,7 @@ theorem mk_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLi
   by
   ext
   · rw [e.mk_symm hb.1 y, e'.coe_fst', e.proj_symm_apply' hb.1]
-    rw [e.proj_symm_apply' hb.1]
-    exact hb.2
+    rw [e.proj_symm_apply' hb.1]; exact hb.2
   · exact e.coord_changeL_apply e' hb y
 #align trivialization.mk_coord_changeL Trivialization.mk_coordChangeL
 
@@ -655,10 +645,7 @@ Case conversion may be inaccurate. Consider using '#align trivialization.continu
 @[simp]
 theorem continuousLinearEquivAt_apply' (e : Trivialization F (π E)) [e.isLinear R]
     (x : TotalSpace E) (hx : x ∈ e.source) :
-    e.continuousLinearEquivAt R x.proj (e.mem_source.1 hx) x.2 = (e x).2 :=
-  by
-  cases x
-  rfl
+    e.continuousLinearEquivAt R x.proj (e.mem_source.1 hx) x.2 = (e x).2 := by cases x; rfl
 #align trivialization.continuous_linear_equiv_at_apply' Trivialization.continuousLinearEquivAt_apply'
 
 variable (R)
@@ -710,10 +697,7 @@ theorem comp_continuousLinearEquivAt_eq_coord_change (e e' : Trivialization F (
     [e'.isLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     (e.continuousLinearEquivAt R b hb.1).symm.trans (e'.continuousLinearEquivAt R b hb.2) =
       coordChangeL R e e' b :=
-  by
-  ext v
-  rw [coord_changeL_apply e e' hb]
-  rfl
+  by ext v; rw [coord_changeL_apply e e' hb]; rfl
 #align trivialization.comp_continuous_linear_equiv_at_eq_coord_change Trivialization.comp_continuousLinearEquivAt_eq_coord_change
 
 end Trivialization
@@ -791,9 +775,7 @@ Case conversion may be inaccurate. Consider using '#align vector_bundle_core.coo
 theorem coordChange_linear_comp (i j k : ι) :
     ∀ x ∈ Z.baseSet i ∩ Z.baseSet j ∩ Z.baseSet k,
       (Z.coordChange j k x).comp (Z.coordChange i j x) = Z.coordChange i k x :=
-  fun x hx => by
-  ext v
-  exact Z.coord_change_comp i j k x hx v
+  fun x hx => by ext v; exact Z.coord_change_comp i j k x hx v
 #align vector_bundle_core.coord_change_linear_comp VectorBundleCore.coordChange_linear_comp
 
 /- warning: vector_bundle_core.index -> VectorBundleCore.Index is a dubious translation:
@@ -1028,10 +1010,8 @@ but is expected to have type
   forall {R : Type.{u2}} {B : Type.{u4}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u2} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (b : B) (a : F), Membership.mem.{max u4 u3, max u4 u3} (Sigma.{u4, u3} B (fun (x : B) => VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x)) (Set.{max u4 u3} (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z))) (Set.instMembershipSet.{max u4 u3} (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z))) (Sigma.mk.{u4, u3} B (fun (x : B) => VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) b a) (LocalEquiv.source.{max u4 u3, max u4 u3} (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (Prod.{u4, u3} B F) (LocalHomeomorph.toLocalEquiv.{max u4 u3, max u4 u3} (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (Prod.{u4, u3} B F) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (instTopologicalSpaceProd.{u4, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (Trivialization.toLocalHomeomorph.{u4, u3, max u4 u3} B F (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (VectorBundleCore.localTrivAt.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b))))
 Case conversion may be inaccurate. Consider using '#align vector_bundle_core.mem_source_at VectorBundleCore.mem_source_atₓ'. -/
 @[simp, mfld_simps]
-theorem mem_source_at : (⟨b, a⟩ : Z.TotalSpace) ∈ (Z.localTrivAt b).source :=
-  by
-  rw [local_triv_at, mem_local_triv_source]
-  exact Z.mem_base_set_at b
+theorem mem_source_at : (⟨b, a⟩ : Z.TotalSpace) ∈ (Z.localTrivAt b).source := by
+  rw [local_triv_at, mem_local_triv_source]; exact Z.mem_base_set_at b
 #align vector_bundle_core.mem_source_at VectorBundleCore.mem_source_at
 
 /- warning: vector_bundle_core.local_triv_at_apply -> VectorBundleCore.localTrivAt_apply is a dubious translation:
@@ -1134,11 +1114,8 @@ theorem trivializationAt_continuousLinearMapAt {b₀ b : B}
 Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_symmL VectorBundleCore.localTriv_symmLₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_symmL {b : B} (hb : b ∈ Z.baseSet i) :
-    (Z.localTriv i).symmL R b = Z.coordChange i (Z.indexAt b) b :=
-  by
-  ext1 v
-  rw [(Z.local_triv i).symmL_apply R, (Z.local_triv i).symm_apply]
-  exacts[rfl, hb]
+    (Z.localTriv i).symmL R b = Z.coordChange i (Z.indexAt b) b := by ext1 v;
+  rw [(Z.local_triv i).symmL_apply R, (Z.local_triv i).symm_apply]; exacts[rfl, hb]
 #align vector_bundle_core.local_triv_symmL VectorBundleCore.localTriv_symmL
 
 /- warning: vector_bundle_core.trivialization_at_symmL -> VectorBundleCore.trivializationAt_symmL is a dubious translation:
@@ -1249,8 +1226,7 @@ theorem mk_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (
   by
   ext
   · rw [e.mk_symm hb.1 v, e'.coe_fst', e.proj_symm_apply' hb.1]
-    rw [e.proj_symm_apply' hb.1]
-    exact hb.2
+    rw [e.proj_symm_apply' hb.1]; exact hb.2
   · exact a.coord_change_apply he he' hb v
 #align vector_prebundle.mk_coord_change VectorPrebundle.mk_coordChange

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -141,10 +141,7 @@ protected def linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B
 variable {R}
 
 /- warning: pretrivialization.coe_linear_map_at -> Pretrivialization.coe_linearMapAt is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_7 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] (b : B), Eq.{max (succ u4) (succ u3)} ((E b) -> F) (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (fun (_x : LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) => (E b) -> F) (LinearMap.hasCoeToFun.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b)) (fun (y : E b) => ite.{succ u3} F (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Classical.propDecidable (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) e))) (Prod.snd.{u2, u3} B F (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Pretrivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) e (Bundle.totalSpaceMk.{u2, u4} B E b y))) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_4)))))))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align pretrivialization.coe_linear_map_at Pretrivialization.coe_linearMapAtₓ'. -/
 theorem coe_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B) :
     ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 :=
@@ -154,10 +151,7 @@ theorem coe_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B)
 #align pretrivialization.coe_linear_map_at Pretrivialization.coe_linearMapAt
 
 /- warning: pretrivialization.coe_linear_map_at_of_mem -> Pretrivialization.coe_linearMapAt_of_mem is a dubious translation:
-lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align pretrivialization.coe_linear_map_at_of_mem Pretrivialization.coe_linearMapAt_of_memₓ'. -/
 theorem coe_linearMapAt_of_mem (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e (totalSpaceMk b y)).2 := by
@@ -165,10 +159,7 @@ theorem coe_linearMapAt_of_mem (e : Pretrivialization F (π E)) [e.isLinear R] {
 #align pretrivialization.coe_linear_map_at_of_mem Pretrivialization.coe_linearMapAt_of_mem
 
 /- warning: pretrivialization.linear_map_at_apply -> Pretrivialization.linearMapAt_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_apply Pretrivialization.linearMapAt_applyₓ'. -/
 theorem linearMapAt_apply (e : Pretrivialization F (π E)) [e.isLinear R] {b : B} (y : E b) :
     e.linearMapAt R b y = if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
@@ -176,10 +167,7 @@ theorem linearMapAt_apply (e : Pretrivialization F (π E)) [e.isLinear R] {b : B
 #align pretrivialization.linear_map_at_apply Pretrivialization.linearMapAt_apply
 
 /- warning: pretrivialization.linear_map_at_def_of_mem -> Pretrivialization.linearMapAt_def_of_mem is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_def_of_mem Pretrivialization.linearMapAt_def_of_memₓ'. -/
 theorem linearMapAt_def_of_mem (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : e.linearMapAt R b = e.linearEquivAt R b hb :=
@@ -187,10 +175,7 @@ theorem linearMapAt_def_of_mem (e : Pretrivialization F (π E)) [e.isLinear R] {
 #align pretrivialization.linear_map_at_def_of_mem Pretrivialization.linearMapAt_def_of_mem
 
 /- warning: pretrivialization.linear_map_at_def_of_not_mem -> Pretrivialization.linearMapAt_def_of_not_mem is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_def_of_not_mem Pretrivialization.linearMapAt_def_of_not_memₓ'. -/
 theorem linearMapAt_def_of_not_mem (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
@@ -198,10 +183,7 @@ theorem linearMapAt_def_of_not_mem (e : Pretrivialization F (π E)) [e.isLinear
 #align pretrivialization.linear_map_at_def_of_not_mem Pretrivialization.linearMapAt_def_of_not_mem
 
 /- warning: pretrivialization.linear_map_at_eq_zero -> Pretrivialization.linearMapAt_eq_zero is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_eq_zero Pretrivialization.linearMapAt_eq_zeroₓ'. -/
 theorem linearMapAt_eq_zero (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
@@ -209,10 +191,7 @@ theorem linearMapAt_eq_zero (e : Pretrivialization F (π E)) [e.isLinear R] {b :
 #align pretrivialization.linear_map_at_eq_zero Pretrivialization.linearMapAt_eq_zero
 
 /- warning: pretrivialization.symmₗ_linear_map_at -> Pretrivialization.symmₗ_linearMapAt is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align pretrivialization.symmₗ_linear_map_at Pretrivialization.symmₗ_linearMapAtₓ'. -/
 theorem symmₗ_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : E b) : e.symmₗ R b (e.linearMapAt R b y) = y :=
@@ -222,10 +201,7 @@ theorem symmₗ_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] {b :
 #align pretrivialization.symmₗ_linear_map_at Pretrivialization.symmₗ_linearMapAt
 
 /- warning: pretrivialization.linear_map_at_symmₗ -> Pretrivialization.linearMapAt_symmₗ is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_symmₗ Pretrivialization.linearMapAt_symmₗₓ'. -/
 theorem linearMapAt_symmₗ (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : F) : e.linearMapAt R b (e.symmₗ R b y) = y :=
@@ -252,10 +228,7 @@ namespace Trivialization
 variable (e : Trivialization F (π E)) {x : TotalSpace E} {b : B} {y : E b}
 
 /- warning: trivialization.linear -> Trivialization.linear is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align trivialization.linear Trivialization.linearₓ'. -/
 protected theorem linear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
     [∀ x, Module R (E x)] [e.isLinear R] {b : B} (hb : b ∈ e.baseSet) :
@@ -284,10 +257,7 @@ def linearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) (hb : b 
 variable {R}
 
 /- warning: trivialization.linear_equiv_at_apply -> Trivialization.linearEquivAt_apply is a dubious translation:
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_inst_1)))))) (Trivialization.linearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b hb) v) (Prod.snd.{u4, u3} B F (Trivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) _inst_4 e (Bundle.totalSpaceMk.{u4, u2} B E b v)))
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 Case conversion may be inaccurate. Consider using '#align trivialization.linear_equiv_at_apply Trivialization.linearEquivAt_applyₓ'. -/
 @[simp]
 theorem linearEquivAt_apply (e : Trivialization F (π E)) [e.isLinear R] (b : B) (hb : b ∈ e.baseSet)
@@ -296,10 +266,7 @@ theorem linearEquivAt_apply (e : Trivialization F (π E)) [e.isLinear R] (b : B)
 #align trivialization.linear_equiv_at_apply Trivialization.linearEquivAt_apply
 
 /- warning: trivialization.linear_equiv_at_symm_apply -> Trivialization.linearEquivAt_symm_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align trivialization.linear_equiv_at_symm_apply Trivialization.linearEquivAt_symm_applyₓ'. -/
 @[simp]
 theorem linearEquivAt_symm_apply (e : Trivialization F (π E)) [e.isLinear R] (b : B)
@@ -319,10 +286,7 @@ protected def symmₗ (e : Trivialization F (π E)) [e.isLinear R] (b : B) : F 
 variable {R}
 
 /- warning: trivialization.coe_symmₗ -> Trivialization.coe_symmₗ is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align trivialization.coe_symmₗ Trivialization.coe_symmₗₓ'. -/
 theorem coe_symmₗ (e : Trivialization F (π E)) [e.isLinear R] (b : B) : ⇑(e.symmₗ R b) = e.symm b :=
   rfl
@@ -340,10 +304,7 @@ protected def linearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) :
 variable {R}
 
 /- warning: trivialization.coe_linear_map_at -> Trivialization.coe_linearMapAt is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align trivialization.coe_linear_map_at Trivialization.coe_linearMapAtₓ'. -/
 theorem coe_linearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) :
     ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 :=
@@ -351,10 +312,7 @@ theorem coe_linearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) :
 #align trivialization.coe_linear_map_at Trivialization.coe_linearMapAt
 
 /- warning: trivialization.coe_linear_map_at_of_mem -> Trivialization.coe_linearMapAt_of_mem is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align trivialization.coe_linear_map_at_of_mem Trivialization.coe_linearMapAt_of_memₓ'. -/
 theorem coe_linearMapAt_of_mem (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e (totalSpaceMk b y)).2 := by
@@ -362,10 +320,7 @@ theorem coe_linearMapAt_of_mem (e : Trivialization F (π E)) [e.isLinear R] {b :
 #align trivialization.coe_linear_map_at_of_mem Trivialization.coe_linearMapAt_of_mem
 
 /- warning: trivialization.linear_map_at_apply -> Trivialization.linearMapAt_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align trivialization.linear_map_at_apply Trivialization.linearMapAt_applyₓ'. -/
 theorem linearMapAt_apply (e : Trivialization F (π E)) [e.isLinear R] {b : B} (y : E b) :
     e.linearMapAt R b y = if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
@@ -373,10 +328,7 @@ theorem linearMapAt_apply (e : Trivialization F (π E)) [e.isLinear R] {b : B} (
 #align trivialization.linear_map_at_apply Trivialization.linearMapAt_apply
 
 /- warning: trivialization.linear_map_at_def_of_mem -> Trivialization.linearMapAt_def_of_mem is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align trivialization.linear_map_at_def_of_mem Trivialization.linearMapAt_def_of_memₓ'. -/
 theorem linearMapAt_def_of_mem (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : e.linearMapAt R b = e.linearEquivAt R b hb :=
@@ -384,10 +336,7 @@ theorem linearMapAt_def_of_mem (e : Trivialization F (π E)) [e.isLinear R] {b :
 #align trivialization.linear_map_at_def_of_mem Trivialization.linearMapAt_def_of_mem
 
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 Case conversion may be inaccurate. Consider using '#align trivialization.linear_map_at_def_of_not_mem Trivialization.linearMapAt_def_of_not_memₓ'. -/
 theorem linearMapAt_def_of_not_mem (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
@@ -395,10 +344,7 @@ theorem linearMapAt_def_of_not_mem (e : Trivialization F (π E)) [e.isLinear R]
 #align trivialization.linear_map_at_def_of_not_mem Trivialization.linearMapAt_def_of_not_mem
 
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 Case conversion may be inaccurate. Consider using '#align trivialization.symmₗ_linear_map_at Trivialization.symmₗ_linearMapAtₓ'. -/
 theorem symmₗ_linearMapAt (e : Trivialization F (π E)) [e.isLinear R] {b : B} (hb : b ∈ e.baseSet)
     (y : E b) : e.symmₗ R b (e.linearMapAt R b y) = y :=
@@ -406,10 +352,7 @@ theorem symmₗ_linearMapAt (e : Trivialization F (π E)) [e.isLinear R] {b : B}
 #align trivialization.symmₗ_linear_map_at Trivialization.symmₗ_linearMapAt
 
 /- warning: trivialization.linear_map_at_symmₗ -> Trivialization.linearMapAt_symmₗ is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align trivialization.linear_map_at_symmₗ Trivialization.linearMapAt_symmₗₓ'. -/
 theorem linearMapAt_symmₗ (e : Trivialization F (π E)) [e.isLinear R] {b : B} (hb : b ∈ e.baseSet)
     (y : F) : e.linearMapAt R b (e.symmₗ R b y) = y :=
@@ -455,10 +398,7 @@ def coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R]
 variable {R}
 
 /- warning: trivialization.coe_coord_changeL -> Trivialization.coe_coordChangeL is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align trivialization.coe_coord_changeL Trivialization.coe_coordChangeLₓ'. -/
 theorem coe_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) :
@@ -467,10 +407,7 @@ theorem coe_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isL
 #align trivialization.coe_coord_changeL Trivialization.coe_coordChangeL
 
 /- warning: trivialization.coe_coord_changeL' -> Trivialization.coe_coordChangeL' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (e' : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e'] {b : B} (hb : Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e'))), Eq.{succ u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) (ContinuousLinearEquiv.toLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (Trivialization.coordChangeL.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b)) (LinearEquiv.trans.{u1, u1, u1, u3, u4, u3} R R R F (E b) F _inst_1 _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_5 _inst_6 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomCompTriple.right_ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomCompTriple.right_ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.symm.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (Trivialization.linearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun {b : B} => _inst_7 b) (fun (x : B) => _inst_8 x) e _inst_9 b (And.left (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e')) hb))) (Trivialization.linearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun {b : B} => _inst_7 b) (fun (x : B) => _inst_8 x) e' _inst_10 b (And.right (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e')) hb)))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align trivialization.coe_coord_changeL' Trivialization.coe_coordChangeL'ₓ'. -/
 theorem coe_coordChangeL' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) :
@@ -480,10 +417,7 @@ theorem coe_coordChangeL' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.is
 #align trivialization.coe_coord_changeL' Trivialization.coe_coordChangeL'
 
 /- warning: trivialization.symm_coord_changeL -> Trivialization.symm_coordChangeL is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align trivialization.symm_coord_changeL Trivialization.symm_coordChangeLₓ'. -/
 theorem symm_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e'.baseSet ∩ e.baseSet) : (e.coordChangeL R e' b).symm = e'.coordChangeL R e b :=
@@ -494,10 +428,7 @@ theorem symm_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.is
 #align trivialization.symm_coord_changeL Trivialization.symm_coordChangeL
 
 /- warning: trivialization.coord_changeL_apply -> Trivialization.coordChangeL_apply is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align trivialization.coord_changeL_apply Trivialization.coordChangeL_applyₓ'. -/
 theorem coordChangeL_apply (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) :
@@ -506,10 +437,7 @@ theorem coordChangeL_apply (e e' : Trivialization F (π E)) [e.isLinear R] [e'.i
 #align trivialization.coord_changeL_apply Trivialization.coordChangeL_apply
 
 /- warning: trivialization.mk_coord_changeL -> Trivialization.mk_coordChangeL is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align trivialization.mk_coord_changeL Trivialization.mk_coordChangeLₓ'. -/
 theorem mk_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) :
@@ -523,10 +451,7 @@ theorem mk_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLi
 #align trivialization.mk_coord_changeL Trivialization.mk_coordChangeL
 
 /- warning: trivialization.apply_symm_apply_eq_coord_changeL -> Trivialization.apply_symm_apply_eq_coordChangeL is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align trivialization.apply_symm_apply_eq_coord_changeL Trivialization.apply_symm_apply_eq_coordChangeLₓ'. -/
 theorem apply_symm_apply_eq_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R]
     [e'.isLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
@@ -535,10 +460,7 @@ theorem apply_symm_apply_eq_coordChangeL (e e' : Trivialization F (π E)) [e.isL
 #align trivialization.apply_symm_apply_eq_coord_changeL Trivialization.apply_symm_apply_eq_coordChangeL
 
 /- warning: trivialization.coord_changeL_apply' -> Trivialization.coordChangeL_apply' is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align trivialization.coord_changeL_apply' Trivialization.coordChangeL_apply'ₓ'. -/
 /-- A version of `coord_change_apply` that fully unfolds `coord_change`. The right-hand side is
 ugly, but has good definitional properties for specifically defined trivializations. -/
@@ -549,10 +471,7 @@ theorem coordChangeL_apply' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.
 #align trivialization.coord_changeL_apply' Trivialization.coordChangeL_apply'
 
 /- warning: trivialization.coord_changeL_symm_apply -> Trivialization.coordChangeL_symm_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align trivialization.coord_changeL_symm_apply Trivialization.coordChangeL_symm_applyₓ'. -/
 theorem coordChangeL_symm_apply (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R]
     {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) :
@@ -622,10 +541,7 @@ instance (priority := 100) trivialization_linear [VectorBundle R F E] (e : Trivi
 -/
 
 /- warning: continuous_on_coord_change -> continuousOn_coordChange is a dubious translation:
-lean 3 declaration is
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(NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) (Trivialization.coordChangeL.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e e' (trivialization_linear.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 _inst_10 e he) (trivialization_linear.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 _inst_10 e' he') b)) (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e'))
-but is expected to have type
-  forall (R : Type.{u4}) {B : Type.{u3}} {F : Type.{u2}} {E : B -> Type.{u1}} [_inst_1 : NontriviallyNormedField.{u4} R] [_inst_2 : forall (x : B), AddCommMonoid.{u1} (E x)] [_inst_3 : forall (x : B), Module.{u4, u1} R (E x) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] [_inst_7 : TopologicalSpace.{max u1 u3} (Bundle.TotalSpace.{u3, u1} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u1} (E x)] [_inst_9 : FiberBundle.{u3, u2, u1} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] [_inst_10 : VectorBundle.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9] (e : Trivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u3, u1} B E)) (e' : Trivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u3, u1} B E)) [he : MemTrivializationAtlas.{u3, u2, u1} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e] [he' : MemTrivializationAtlas.{u3, u2, u1} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e'], ContinuousOn.{u3, u2} B (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) _inst_6 (ContinuousLinearMap.topologicalSpace.{u4, u4, u2, u2} R R (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F F (SeminormedAddCommGroup.toAddCommGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (SeminormedAddCommGroup.toAddCommGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4))) (fun (b : B) => ContinuousLinearEquiv.toContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) (RingHomInvPair.ids.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1)))))) (RingHomInvPair.ids.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (Trivialization.coordChangeL.{u4, u3, u2, u1} R B F E (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e e' (trivialization_linear.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 _inst_10 e he) (trivialization_linear.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 _inst_10 e' he') b)) (Inter.inter.{u3} (Set.{u3} B) (Set.instInterSet.{u3} B) (Trivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u3, u1} B E) e) (Trivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u3, u1} B E) e'))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_on_coord_change continuousOn_coordChangeₓ'. -/
 theorem continuousOn_coordChange [VectorBundle R F E] (e e' : Trivialization F (π E))
     [he : MemTrivializationAtlas e] [he' : MemTrivializationAtlas e'] :
@@ -677,10 +593,7 @@ def symmL (e : Trivialization F (π E)) [e.isLinear R] (b : B) : F →L[R] E b :
 variable {R}
 
 /- warning: trivialization.symmL_continuous_linear_map_at -> Trivialization.symmL_continuousLinearMapAt is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) -> (forall (y : E b), Eq.{succ u4} (E b) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R 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_inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => (E b) -> F) (ContinuousLinearMap.toFun.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Trivialization.continuousLinearMapAt.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b) y)) y)
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+<too large>
 Case conversion may be inaccurate. Consider using '#align trivialization.symmL_continuous_linear_map_at Trivialization.symmL_continuousLinearMapAtₓ'. -/
 theorem symmL_continuousLinearMapAt (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : E b) : e.symmL R b (e.continuousLinearMapAt R b y) = y :=
@@ -688,10 +601,7 @@ theorem symmL_continuousLinearMapAt (e : Trivialization F (π E)) [e.isLinear R]
 #align trivialization.symmL_continuous_linear_map_at Trivialization.symmL_continuousLinearMapAt
 
 /- warning: trivialization.continuous_linear_map_at_symmL -> Trivialization.continuousLinearMapAt_symmL is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) -> (forall (y : F), Eq.{succ u3} F (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (ContinuousLinearMap.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => (E b) -> F) (ContinuousLinearMap.toFun.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Trivialization.continuousLinearMapAt.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) (fun (_x : ContinuousLinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) => F -> (E b)) (ContinuousLinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) (Trivialization.symmL.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b) y)) y)
-but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_3 : forall (x : B), Module.{u1, u2} R (E x) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u2} (E x)] [_inst_9 : FiberBundle.{u4, u3, u2} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) -> (forall (y : F), Eq.{succ u3} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E b) => F) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (ContinuousLinearMap.{u1, u1, u3, u2} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R 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(x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E b) a) (ContinuousMapClass.toFunLike.{max u3 u2, u3, u2} (ContinuousLinearMap.{u1, u1, u3, u2} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) 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_inst_4) _inst_5) (_inst_3 b)))) (Trivialization.symmL.{u1, u4, u3, u2} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b) y)) y)
+<too large>
 Case conversion may be inaccurate. Consider using '#align trivialization.continuous_linear_map_at_symmL Trivialization.continuousLinearMapAt_symmLₓ'. -/
 theorem continuousLinearMapAt_symmL (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : F) : e.continuousLinearMapAt R b (e.symmL R b y) = y :=
@@ -723,10 +633,7 @@ def continuousLinearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B)
 variable {R}
 
 /- warning: trivialization.coe_continuous_linear_equiv_at_eq -> Trivialization.coe_continuousLinearEquivAt_eq is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] {b : B} (hb : Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)), Eq.{max (succ u4) (succ u3)} ((fun (_x : ContinuousLinearEquiv.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R 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(NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) ((fun (x : B) => _inst_8 x) b) ((fun (x : B) => _inst_2 x) b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) ((fun (x : B) => _inst_3 x) b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => (E b) -> F) (ContinuousLinearMap.toFun.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) ((fun (x : B) => _inst_8 x) b) ((fun (x : B) => _inst_2 x) b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) ((fun (x : B) => _inst_3 x) b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Trivialization.continuousLinearMapAt.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b))
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-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_3 : forall (x : B), Module.{u1, u2} R (E x) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u2} (E x)] [_inst_9 : FiberBundle.{u4, u3, u2} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] {b : B} (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)), Eq.{max (succ u3) (succ u2)} (forall (a : E b), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E b) => F) a) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R 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(DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)))) (Trivialization.continuousLinearMapAt.{u1, u4, u3, u2} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b))
+<too large>
 Case conversion may be inaccurate. Consider using '#align trivialization.coe_continuous_linear_equiv_at_eq Trivialization.coe_continuousLinearEquivAt_eqₓ'. -/
 theorem coe_continuousLinearEquivAt_eq (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) :
@@ -735,10 +642,7 @@ theorem coe_continuousLinearEquivAt_eq (e : Trivialization F (π E)) [e.isLinear
 #align trivialization.coe_continuous_linear_equiv_at_eq Trivialization.coe_continuousLinearEquivAt_eq
 
 /- warning: trivialization.symm_continuous_linear_equiv_at_eq -> Trivialization.symm_continuousLinearEquivAt_eq is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] {b : B} (hb : Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)), Eq.{max (succ u3) (succ u4)} ((fun (_x : ContinuousLinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R 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(DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)))) (Trivialization.symmL.{u1, u4, u3, u2} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b))
+<too large>
 Case conversion may be inaccurate. Consider using '#align trivialization.symm_continuous_linear_equiv_at_eq Trivialization.symm_continuousLinearEquivAt_eqₓ'. -/
 theorem symm_continuousLinearEquivAt_eq (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : ((e.continuousLinearEquivAt R b hb).symm : F → E b) = e.symmL R b :=
@@ -746,10 +650,7 @@ theorem symm_continuousLinearEquivAt_eq (e : Trivialization F (π E)) [e.isLinea
 #align trivialization.symm_continuous_linear_equiv_at_eq Trivialization.symm_continuousLinearEquivAt_eq
 
 /- warning: trivialization.continuous_linear_equiv_at_apply' -> Trivialization.continuousLinearEquivAt_apply' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, 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(Bundle.TotalSpace.{u4, u2} B E) (Prod.{u4, u3} B F) (LocalHomeomorph.toLocalEquiv.{max u4 u2, max u4 u3} (Bundle.TotalSpace.{u4, u2} B E) (Prod.{u4, u3} B F) _inst_7 (instTopologicalSpaceProd.{u4, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (Trivialization.toLocalHomeomorph.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)))) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) (Bundle.TotalSpace.proj.{u4, u2} B E x) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Trivialization.mem_source.{u3, u4, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u4, u2} B E) _inst_7 e x) hx)) (Sigma.snd.{u4, u2} B (fun (x : B) => E x) x)) (Prod.snd.{u4, u3} B F (Trivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u4, u2} B E) _inst_7 e x))
+<too large>
 Case conversion may be inaccurate. Consider using '#align trivialization.continuous_linear_equiv_at_apply' Trivialization.continuousLinearEquivAt_apply'ₓ'. -/
 @[simp]
 theorem continuousLinearEquivAt_apply' (e : Trivialization F (π E)) [e.isLinear R]
@@ -763,10 +664,7 @@ theorem continuousLinearEquivAt_apply' (e : Trivialization F (π E)) [e.isLinear
 variable (R)
 
 /- warning: trivialization.apply_eq_prod_continuous_linear_equiv_at -> Trivialization.apply_eq_prod_continuousLinearEquivAt is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] (b : B) (hb : Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (z : E b), Eq.{max (succ u2) (succ u3)} (Prod.{u2, u3} B F) (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F 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-but is expected to have type
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(NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) (Trivialization.continuousLinearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b hb) z))
+<too large>
 Case conversion may be inaccurate. Consider using '#align trivialization.apply_eq_prod_continuous_linear_equiv_at Trivialization.apply_eq_prod_continuousLinearEquivAtₓ'. -/
 theorem apply_eq_prod_continuousLinearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B)
     (hb : b ∈ e.baseSet) (z : E b) : e ⟨b, z⟩ = (b, e.continuousLinearEquivAt R b hb z) :=
@@ -779,10 +677,7 @@ theorem apply_eq_prod_continuousLinearEquivAt (e : Trivialization F (π E)) [e.i
 #align trivialization.apply_eq_prod_continuous_linear_equiv_at Trivialization.apply_eq_prod_continuousLinearEquivAt
 
 /- warning: trivialization.zero_section -> Trivialization.zeroSection is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align trivialization.zero_section Trivialization.zeroSectionₓ'. -/
 protected theorem zeroSection (e : Trivialization F (π E)) [e.isLinear R] {x : B}
     (hx : x ∈ e.baseSet) : e (zeroSection E x) = (x, 0) := by
@@ -793,10 +688,7 @@ protected theorem zeroSection (e : Trivialization F (π E)) [e.isLinear R] {x :
 variable {R}
 
 /- warning: trivialization.symm_apply_eq_mk_continuous_linear_equiv_at_symm -> Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm is a dubious translation:
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(NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (Trivialization.continuousLinearEquivAt._proof_2.{u1} R _inst_1) (Trivialization.continuousLinearEquivAt._proof_1.{u1} R _inst_1) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) (ContinuousLinearEquiv.symm.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (Trivialization.continuousLinearEquivAt._proof_1.{u1} R _inst_1) (Trivialization.continuousLinearEquivAt._proof_2.{u1} R _inst_1) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (Trivialization.continuousLinearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 (fun (b : B) => _inst_2 b) (fun (b : B) => _inst_3 b) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e _inst_10 b hb)) z))
-but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_3 : forall (x : B), Module.{u1, u2} R (E x) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u2} (E x)] [_inst_9 : FiberBundle.{u4, u3, u2} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] (b : B) (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (z : F), Eq.{max (succ u4) (succ u2)} (Bundle.TotalSpace.{u4, u2} B E) (LocalHomeomorph.toFun'.{max u4 u3, max u4 u2} (Prod.{u4, u3} B F) (Bundle.TotalSpace.{u4, u2} B E) (instTopologicalSpaceProd.{u4, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F 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+<too large>
 Case conversion may be inaccurate. Consider using '#align trivialization.symm_apply_eq_mk_continuous_linear_equiv_at_symm Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symmₓ'. -/
 theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π E)) [e.isLinear R]
     (b : B) (hb : b ∈ e.baseSet) (z : F) :
@@ -812,10 +704,7 @@ theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π
 #align trivialization.symm_apply_eq_mk_continuous_linear_equiv_at_symm Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm
 
 /- warning: trivialization.comp_continuous_linear_equiv_at_eq_coord_change -> Trivialization.comp_continuousLinearEquivAt_eq_coord_change is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) (e' : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] [_inst_11 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 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(NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (Trivialization.continuousLinearEquivAt._proof_1.{u1} R _inst_1) (Trivialization.continuousLinearEquivAt._proof_2.{u1} R _inst_1) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (Trivialization.continuousLinearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 (fun {b : B} => _inst_2 b) (fun {b : B} => _inst_3 b) _inst_4 _inst_5 _inst_6 _inst_7 (fun {b : B} => _inst_8 b) _inst_9 e _inst_10 b (And.left (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e')) hb))) (Trivialization.continuousLinearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 (fun {b : B} => _inst_2 b) (fun {b : B} => _inst_3 b) _inst_4 _inst_5 _inst_6 _inst_7 (fun {b : B} => _inst_8 b) _inst_9 e' _inst_11 b (And.right (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e')) hb))) (Trivialization.coordChangeL.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e e' _inst_10 _inst_11 b)
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-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_3 : forall (x : B), Module.{u1, u2} R (E x) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u2} (E x)] [_inst_9 : FiberBundle.{u4, u3, u2} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E)) (e' : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] [_inst_11 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e'] {b : B} (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Inter.inter.{u4} (Set.{u4} B) (Set.instInterSet.{u4} B) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e'))), Eq.{succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearEquiv.trans.{u1, u1, u1, u3, u2, u3} R R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R 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(Trivialization.continuousLinearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 (fun (b : B) => _inst_2 b) (fun (b : B) => _inst_3 b) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e _inst_10 b (And.left (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e')) hb))) (Trivialization.continuousLinearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 (fun (b : B) => _inst_2 b) (fun (b : B) => _inst_3 b) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e' _inst_11 b (And.right (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e')) hb))) (Trivialization.coordChangeL.{u1, u4, u3, u2} R B F E (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e e' _inst_10 _inst_11 b)
+<too large>
 Case conversion may be inaccurate. Consider using '#align trivialization.comp_continuous_linear_equiv_at_eq_coord_change Trivialization.comp_continuousLinearEquivAt_eq_coord_changeₓ'. -/
 theorem comp_continuousLinearEquivAt_eq_coord_change (e e' : Trivialization F (π E)) [e.isLinear R]
     [e'.isLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) :
@@ -897,10 +786,7 @@ instance toFiberBundleCoreCoe : Coe (VectorBundleCore R B F ι) (FiberBundleCore
 include Z
 
 /- warning: vector_bundle_core.coord_change_linear_comp -> VectorBundleCore.coordChange_linear_comp is a dubious translation:
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(VectorBundleCore.coordChange.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i k x))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align vector_bundle_core.coord_change_linear_comp VectorBundleCore.coordChange_linear_compₓ'. -/
 theorem coordChange_linear_comp (i j k : ι) :
     ∀ x ∈ Z.baseSet i ∩ Z.baseSet j ∩ Z.baseSet k,
@@ -1021,10 +907,7 @@ instance toTopologicalSpace : TopologicalSpace Z.TotalSpace :=
 variable (b : B) (a : F)
 
 /- warning: vector_bundle_core.coe_coord_change -> VectorBundleCore.coe_coordChange is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align vector_bundle_core.coe_coord_change VectorBundleCore.coe_coordChangeₓ'. -/
 @[simp, mfld_simps]
 theorem coe_coordChange (i j : ι) : Z.toFiberBundleCore.coordChange i j b = Z.coordChange i j b :=
@@ -1054,10 +937,7 @@ instance localTriv.isLinear (i : ι) : (Z.localTriv i).isLinear R
 variable (i j : ι)
 
 /- warning: vector_bundle_core.mem_local_triv_source -> VectorBundleCore.mem_localTriv_source is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align vector_bundle_core.mem_local_triv_source VectorBundleCore.mem_localTriv_sourceₓ'. -/
 @[simp, mfld_simps]
 theorem mem_localTriv_source (p : Z.TotalSpace) : p ∈ (Z.localTriv i).source ↔ p.1 ∈ Z.baseSet i :=
@@ -1076,10 +956,7 @@ theorem baseSet_at : Z.baseSet i = (Z.localTriv i).baseSet :=
 #align vector_bundle_core.base_set_at VectorBundleCore.baseSet_at
 
 /- warning: vector_bundle_core.local_triv_apply -> VectorBundleCore.localTriv_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_apply VectorBundleCore.localTriv_applyₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_apply (p : Z.TotalSpace) :
@@ -1088,10 +965,7 @@ theorem localTriv_apply (p : Z.TotalSpace) :
 #align vector_bundle_core.local_triv_apply VectorBundleCore.localTriv_apply
 
 /- warning: vector_bundle_core.mem_local_triv_target -> VectorBundleCore.mem_localTriv_target is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align vector_bundle_core.mem_local_triv_target VectorBundleCore.mem_localTriv_targetₓ'. -/
 @[simp, mfld_simps]
 theorem mem_localTriv_target (p : B × F) :
@@ -1100,10 +974,7 @@ theorem mem_localTriv_target (p : B × F) :
 #align vector_bundle_core.mem_local_triv_target VectorBundleCore.mem_localTriv_target
 
 /- warning: vector_bundle_core.local_triv_symm_fst -> VectorBundleCore.localTriv_symm_fst is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_symm_fst VectorBundleCore.localTriv_symm_fstₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_symm_fst (p : B × F) :
@@ -1112,10 +983,7 @@ theorem localTriv_symm_fst (p : B × F) :
 #align vector_bundle_core.local_triv_symm_fst VectorBundleCore.localTriv_symm_fst
 
 /- warning: vector_bundle_core.local_triv_symm_apply -> VectorBundleCore.localTriv_symm_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_symm_apply VectorBundleCore.localTriv_symm_applyₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_symm_apply {b : B} (hb : b ∈ Z.baseSet i) (v : F) :
@@ -1124,10 +992,7 @@ theorem localTriv_symm_apply {b : B} (hb : b ∈ Z.baseSet i) (v : F) :
 #align vector_bundle_core.local_triv_symm_apply VectorBundleCore.localTriv_symm_apply
 
 /- warning: vector_bundle_core.local_triv_coord_change_eq -> VectorBundleCore.localTriv_coordChange_eq is a dubious translation:
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(DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) (RingHomInvPair.ids.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1)))))) (RingHomInvPair.ids.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F 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(VectorBundleCore.localTriv.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (VectorBundleCore.localTriv.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z j) (VectorBundleCore.localTriv.isLinear.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (VectorBundleCore.localTriv.isLinear.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z j) b) v) (FunLike.coe.{succ u2, succ u2, succ u2} (ContinuousLinearMap.{u3, u3, u2, u2} R R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R 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 Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_coord_change_eq VectorBundleCore.localTriv_coordChange_eqₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_coordChange_eq {b : B} (hb : b ∈ Z.baseSet i ∩ Z.baseSet j) (v : F) :
@@ -1170,10 +1035,7 @@ theorem mem_source_at : (⟨b, a⟩ : Z.TotalSpace) ∈ (Z.localTrivAt b).source
 #align vector_bundle_core.mem_source_at VectorBundleCore.mem_source_at
 
 /- warning: vector_bundle_core.local_triv_at_apply -> VectorBundleCore.localTrivAt_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_at_apply VectorBundleCore.localTrivAt_applyₓ'. -/
 @[simp, mfld_simps]
 theorem localTrivAt_apply (p : Z.TotalSpace) : (Z.localTrivAt p.1) p = ⟨p.1, p.2⟩ :=
@@ -1181,10 +1043,7 @@ theorem localTrivAt_apply (p : Z.TotalSpace) : (Z.localTrivAt p.1) p = ⟨p.1, p
 #align vector_bundle_core.local_triv_at_apply VectorBundleCore.localTrivAt_apply
 
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 Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_at_apply_mk VectorBundleCore.localTrivAt_apply_mkₓ'. -/
 @[simp, mfld_simps]
 theorem localTrivAt_apply_mk (b : B) (a : F) : (Z.localTrivAt b) ⟨b, a⟩ = ⟨b, a⟩ :=
@@ -1248,10 +1107,7 @@ theorem isOpenMap_proj : IsOpenMap Z.proj :=
 variable {i j}
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_continuous_linear_map_at VectorBundleCore.localTriv_continuousLinearMapAtₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_continuousLinearMapAt {b : B} (hb : b ∈ Z.baseSet i) :
@@ -1263,10 +1119,7 @@ theorem localTriv_continuousLinearMapAt {b : B} (hb : b ∈ Z.baseSet i) :
 #align vector_bundle_core.local_triv_continuous_linear_map_at VectorBundleCore.localTriv_continuousLinearMapAt
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align vector_bundle_core.trivialization_at_continuous_linear_map_at VectorBundleCore.trivializationAt_continuousLinearMapAtₓ'. -/
 @[simp, mfld_simps]
 theorem trivializationAt_continuousLinearMapAt {b₀ b : B}
@@ -1277,10 +1130,7 @@ theorem trivializationAt_continuousLinearMapAt {b₀ b : B}
 #align vector_bundle_core.trivialization_at_continuous_linear_map_at VectorBundleCore.trivializationAt_continuousLinearMapAt
 
 /- warning: vector_bundle_core.local_triv_symmL -> VectorBundleCore.localTriv_symmL is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_symmL VectorBundleCore.localTriv_symmLₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_symmL {b : B} (hb : b ∈ Z.baseSet i) :
@@ -1292,10 +1142,7 @@ theorem localTriv_symmL {b : B} (hb : b ∈ Z.baseSet i) :
 #align vector_bundle_core.local_triv_symmL VectorBundleCore.localTriv_symmL
 
 /- warning: vector_bundle_core.trivialization_at_symmL -> VectorBundleCore.trivializationAt_symmL is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align vector_bundle_core.trivialization_at_symmL VectorBundleCore.trivializationAt_symmLₓ'. -/
 @[simp, mfld_simps]
 theorem trivializationAt_symmL {b₀ b : B} (hb : b ∈ (trivializationAt F Z.Fiber b₀).baseSet) :
@@ -1304,10 +1151,7 @@ theorem trivializationAt_symmL {b₀ b : B} (hb : b ∈ (trivializationAt F Z.Fi
 #align vector_bundle_core.trivialization_at_symmL VectorBundleCore.trivializationAt_symmL
 
 /- warning: vector_bundle_core.trivialization_at_coord_change_eq -> VectorBundleCore.trivializationAt_coordChange_eq is a dubious translation:
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u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₁)))) -> (forall (v : F), Eq.{succ u3} F (coeFn.{succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Trivialization.coordChangeL.{u1, u2, u3, u3} R B F (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => VectorBundleCore.addCommMonoidFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (fun (x : B) => VectorBundleCore.moduleFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (FiberBundle.trivializationAt.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F 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(FiberBundle.trivializationAt.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀) (FiberBundle.trivializationAt.memTrivializationAtlas.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀)) (trivialization_linear.{u1, u2, u3, u3} R B F (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_1 (fun (x : B) => VectorBundleCore.addCommMonoidFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (fun (x : B) => VectorBundleCore.moduleFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) _inst_4 _inst_5 _inst_6 (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.vectorBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (FiberBundle.trivializationAt.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₁) (FiberBundle.trivializationAt.memTrivializationAtlas.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F 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(PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => F -> F) (ContinuousLinearMap.toFun.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (VectorBundleCore.coordChange.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (VectorBundleCore.indexAt.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b₀) (VectorBundleCore.indexAt.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b₁) b) v))
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(Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) R R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u3} R R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)))) (VectorBundleCore.coordChange.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (VectorBundleCore.indexAt.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b₀) (VectorBundleCore.indexAt.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b₁) b) v))
+<too large>
 Case conversion may be inaccurate. Consider using '#align vector_bundle_core.trivialization_at_coord_change_eq VectorBundleCore.trivializationAt_coordChange_eqₓ'. -/
 @[simp, mfld_simps]
 theorem trivializationAt_coordChange_eq {b₀ b₁ b : B}
@@ -1377,10 +1221,7 @@ def coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
 -/
 
 /- warning: vector_prebundle.continuous_on_coord_change -> VectorPrebundle.continuousOn_coordChange is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] (a : VectorPrebundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) {e : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)} {e' : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)} (he : Membership.Mem.{max u2 u3 u2 u4, max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)) (Set.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) (Set.hasMem.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) e (VectorPrebundle.pretrivializationAtlas.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)) (he' : Membership.Mem.{max u2 u3 u2 u4, max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)) (Set.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) (Set.hasMem.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) e' (VectorPrebundle.pretrivializationAtlas.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)), ContinuousOn.{u2, u3} B (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) _inst_6 (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, u3} R R (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (VectorPrebundle.coordChange.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a e e' he he') (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E) e) (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E) e'))
-but is expected to have type
-  forall {R : Type.{u4}} {B : Type.{u3}} {F : Type.{u2}} {E : B -> Type.{u1}} [_inst_1 : NontriviallyNormedField.{u4} R] [_inst_2 : forall (x : B), AddCommMonoid.{u1} (E x)] [_inst_3 : forall (x : B), Module.{u4, u1} R (E x) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] (a : VectorPrebundle.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) {e : Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)} {e' : Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)} (he : Membership.mem.{max (max u3 u2) u1, max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)) (Set.{max (max (max u3 u1) u2) u3} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) (Set.instMembershipSet.{max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) e (VectorPrebundle.pretrivializationAtlas.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)) (he' : Membership.mem.{max (max u3 u2) u1, max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F 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x) _inst_4 _inst_5 _inst_6 a)), ContinuousOn.{u3, u2} B (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) 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(SeminormedAddCommGroup.toTopologicalAddGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4))) (VectorPrebundle.coordChange.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a e e' he he') (Inter.inter.{u3} (Set.{u3} B) (Set.instInterSet.{u3} B) (Pretrivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E) e) (Pretrivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E) e'))
+<too large>
 Case conversion may be inaccurate. Consider using '#align vector_prebundle.continuous_on_coord_change VectorPrebundle.continuousOn_coordChangeₓ'. -/
 theorem continuousOn_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) :
@@ -1389,10 +1230,7 @@ theorem continuousOn_coordChange (a : VectorPrebundle R F E) {e e' : Pretriviali
 #align vector_prebundle.continuous_on_coord_change VectorPrebundle.continuousOn_coordChange
 
 /- warning: vector_prebundle.coord_change_apply -> VectorPrebundle.coordChange_apply is a dubious translation:
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-but is expected to have type
-  forall {R : Type.{u4}} {B : Type.{u3}} {F : Type.{u2}} {E : B -> Type.{u1}} [_inst_1 : NontriviallyNormedField.{u4} R] [_inst_2 : forall (x : B), AddCommMonoid.{u1} (E x)] [_inst_3 : forall (x : B), Module.{u4, u1} R (E x) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] (a : VectorPrebundle.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) {e : Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)} {e' : Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)} (he : Membership.mem.{max (max u3 u2) u1, max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)) (Set.{max (max (max u3 u1) u2) u3} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) (Set.instMembershipSet.{max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) e (VectorPrebundle.pretrivializationAtlas.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)) (he' : Membership.mem.{max (max u3 u2) u1, max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)) (Set.{max (max (max u3 u1) u2) u3} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) (Set.instMembershipSet.{max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) e' (VectorPrebundle.pretrivializationAtlas.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)) {b : B}, (Membership.mem.{u3, u3} B (Set.{u3} B) (Set.instMembershipSet.{u3} B) b (Inter.inter.{u3} (Set.{u3} B) (Set.instInterSet.{u3} B) (Pretrivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E) e) (Pretrivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E) e'))) -> (forall (v : F), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) v) (FunLike.coe.{succ u2, succ u2, succ u2} (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) _x) (ContinuousMapClass.toFunLike.{u2, u2, u2} (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) F F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, u4, u4, u2, u2} (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))) (VectorPrebundle.coordChange.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a e e' he he' b) v) (Prod.snd.{u3, u2} B F (Pretrivialization.toFun'.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E) e' (Bundle.totalSpaceMk.{u3, u1} B E b (Pretrivialization.symm.{u3, u2, u1} B F E _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (fun (x : B) => AddMonoid.toZero.{u1} (E x) (AddCommMonoid.toAddMonoid.{u1} (E x) (_inst_2 x))) e b v)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align vector_prebundle.coord_change_apply VectorPrebundle.coordChange_applyₓ'. -/
 theorem coordChange_apply (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) {b : B}
@@ -1402,10 +1240,7 @@ theorem coordChange_apply (a : VectorPrebundle R F E) {e e' : Pretrivialization
 #align vector_prebundle.coord_change_apply VectorPrebundle.coordChange_apply
 
 /- warning: vector_prebundle.mk_coord_change -> VectorPrebundle.mk_coordChange is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] (a : VectorPrebundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) {e : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)} {e' : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)} (he : Membership.Mem.{max u2 u3 u2 u4, max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)) (Set.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) (Set.hasMem.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) e (VectorPrebundle.pretrivializationAtlas.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)) (he' : Membership.Mem.{max u2 u3 u2 u4, max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) 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(NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) 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(Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))) (VectorPrebundle.coordChange.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a e e' he he' b) v)) (Pretrivialization.toFun'.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E) e' (Bundle.totalSpaceMk.{u3, u1} B E b (Pretrivialization.symm.{u3, u2, u1} B F E _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (fun (x : B) => AddMonoid.toZero.{u1} (E x) (AddCommMonoid.toAddMonoid.{u1} (E x) (_inst_2 x))) e b v))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align vector_prebundle.mk_coord_change VectorPrebundle.mk_coordChangeₓ'. -/
 theorem mk_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) {b : B}
@@ -1615,10 +1450,7 @@ def inCoordinates (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y) : F →SL
 variable {F F'}
 
 /- warning: continuous_linear_map.in_coordinates_eq -> ContinuousLinearMap.inCoordinates_eq is a dubious translation:
-lean 3 declaration is
-  forall {B : Type.{u1}} {F : Type.{u2}} (E : B -> Type.{u3}) [_inst_2 : forall (x : B), AddCommMonoid.{u3} (E x)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_6 : TopologicalSpace.{u1} B] {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u5}} [_inst_7 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_8 : NontriviallyNormedField.{u5} 𝕜₂] {σ : RingHom.{u4, u5} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₁ (Ring.toNonAssocRing.{u4} 𝕜₁ (NormedRing.toRing.{u4} 𝕜₁ (NormedCommRing.toNormedRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_7)))))) (NonAssocRing.toNonAssocSemiring.{u5} 𝕜₂ (Ring.toNonAssocRing.{u5} 𝕜₂ (NormedRing.toRing.{u5} 𝕜₂ (NormedCommRing.toNormedRing.{u5} 𝕜₂ (NormedField.toNormedCommRing.{u5} 𝕜₂ (NontriviallyNormedField.toNormedField.{u5} 𝕜₂ _inst_8))))))} {B' : Type.{u6}} [_inst_9 : TopologicalSpace.{u6} B'] [_inst_10 : NormedSpace.{u4, u2} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_11 : forall (x : B), Module.{u4, u3} 𝕜₁ (E x) (Ring.toSemiring.{u4} 𝕜₁ (NormedRing.toRing.{u4} 𝕜₁ (NormedCommRing.toNormedRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_7))))) (_inst_2 x)] [_inst_12 : TopologicalSpace.{max u1 u3} (Bundle.TotalSpace.{u1, u3} B E)] {F' : Type.{u7}} [_inst_13 : NormedAddCommGroup.{u7} F'] [_inst_14 : NormedSpace.{u5, u7} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u5} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u7} F' _inst_13)] (E' : B' -> Type.{u8}) [_inst_15 : forall (x : B'), AddCommMonoid.{u8} (E' x)] [_inst_16 : forall (x : B'), Module.{u5, u8} 𝕜₂ (E' x) (Ring.toSemiring.{u5} 𝕜₂ (NormedRing.toRing.{u5} 𝕜₂ (NormedCommRing.toNormedRing.{u5} 𝕜₂ (NormedField.toNormedCommRing.{u5} 𝕜₂ (NontriviallyNormedField.toNormedField.{u5} 𝕜₂ _inst_8))))) (_inst_15 x)] [_inst_17 : TopologicalSpace.{max u6 u8} (Bundle.TotalSpace.{u6, u8} B' E')] [_inst_18 : forall (x : B), TopologicalSpace.{u3} (E x)] [_inst_19 : FiberBundle.{u1, u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b)] [_inst_20 : VectorBundle.{u4, u1, u2, u3} 𝕜₁ B F E _inst_7 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_11 x) _inst_4 _inst_10 _inst_6 _inst_12 (fun (x : B) => _inst_18 x) _inst_19] [_inst_21 : forall (x : B'), TopologicalSpace.{u8} (E' x)] [_inst_22 : FiberBundle.{u6, u7, u8} B' F' _inst_9 (UniformSpace.toTopologicalSpace.{u7} F' (PseudoMetricSpace.toUniformSpace.{u7} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u7} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u7} F' _inst_13)))) E' _inst_17 (fun (b : B') => _inst_21 b)] [_inst_23 : VectorBundle.{u5, u6, u7, u8} 𝕜₂ B' F' E' _inst_8 (fun (x : B') => _inst_15 x) (fun (x : B') => _inst_16 x) _inst_13 _inst_14 _inst_9 _inst_17 (fun (x : B') => _inst_21 x) _inst_22] (x₀ : B) (x : B) (y₀ : B') (y : B') (ϕ : ContinuousLinearMap.{u4, u5, u3, u8} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u4} 𝕜₁ (NormedRing.toRing.{u4} 𝕜₁ (NormedCommRing.toNormedRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u5} 𝕜₂ (NormedRing.toRing.{u5} 𝕜₂ (NormedCommRing.toNormedRing.{u5} 𝕜₂ (NormedField.toNormedCommRing.{u5} 𝕜₂ (NontriviallyNormedField.toNormedField.{u5} 𝕜₂ _inst_8))))) σ (E x) (_inst_18 x) (_inst_2 x) (E' y) (_inst_21 y) (_inst_15 y) (_inst_11 x) (_inst_16 y)) (hx : Membership.Mem.{u1, u1} B (Set.{u1} B) (Set.hasMem.{u1} B) x (Trivialization.baseSet.{u1, u2, max u1 u3} B F (Bundle.TotalSpace.{u1, u3} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_12 (Bundle.TotalSpace.proj.{u1, u3} B E) (FiberBundle.trivializationAt.{u1, u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b) _inst_19 x₀))) (hy : Membership.Mem.{u6, u6} B' (Set.{u6} B') (Set.hasMem.{u6} B') y (Trivialization.baseSet.{u6, u7, max u6 u8} B' F' (Bundle.TotalSpace.{u6, u8} B' E') _inst_9 (UniformSpace.toTopologicalSpace.{u7} F' (PseudoMetricSpace.toUniformSpace.{u7} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u7} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u7} F' _inst_13)))) _inst_17 (Bundle.TotalSpace.proj.{u6, u8} B' E') (FiberBundle.trivializationAt.{u6, u7, u8} B' F' _inst_9 (UniformSpace.toTopologicalSpace.{u7} F' (PseudoMetricSpace.toUniformSpace.{u7} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u7} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u7} F' _inst_13)))) E' _inst_17 (fun (b : B') => _inst_21 b) _inst_22 y₀))), Eq.{max (succ u2) (succ u7)} (ContinuousLinearMap.{u4, u5, u2, u7} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u4} 𝕜₁ (NormedRing.toRing.{u4} 𝕜₁ (NormedCommRing.toNormedRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u5} 𝕜₂ (NormedRing.toRing.{u5} 𝕜₂ (NormedCommRing.toNormedRing.{u5} 𝕜₂ (NormedField.toNormedCommRing.{u5} 𝕜₂ (NontriviallyNormedField.toNormedField.{u5} 𝕜₂ _inst_8))))) σ F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u7} F' (PseudoMetricSpace.toUniformSpace.{u7} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u7} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u7} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u7} F' (NormedAddCommGroup.toAddCommGroup.{u7} F' _inst_13)) (NormedSpace.toModule.{u4, u2} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_10) (NormedSpace.toModule.{u5, u7} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u5} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u7} F' _inst_13) _inst_14)) (ContinuousLinearMap.inCoordinates.{u1, u2, u3, u4, u5, u6, u7, u8} B F E (fun (x : B) => _inst_2 x) _inst_4 _inst_6 𝕜₁ 𝕜₂ _inst_7 _inst_8 σ B' _inst_9 _inst_10 (fun (x : B) => _inst_11 x) _inst_12 F' _inst_13 _inst_14 E' (fun (x : B') => _inst_15 x) (fun (y : B') => _inst_16 y) _inst_17 (fun (b : B) => _inst_18 b) _inst_19 _inst_20 (fun (b : B') => _inst_21 b) _inst_22 _inst_23 x₀ x y₀ y ϕ) (ContinuousLinearMap.comp.{u4, u5, u5, u2, u8, u7} 𝕜₁ 𝕜₂ 𝕜₂ 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_inst_18 x) _inst_19 (FiberBundle.trivializationAt.{u1, u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b) _inst_19 x₀) (trivialization_linear.{u4, u1, u2, u3} 𝕜₁ B F E _inst_7 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_11 x) _inst_4 _inst_10 _inst_6 _inst_12 (fun (b : B) => _inst_18 b) _inst_19 _inst_20 (FiberBundle.trivializationAt.{u1, u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b) _inst_19 x₀) (FiberBundle.trivializationAt.memTrivializationAtlas.{u1, u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b) _inst_19 x₀)) x hx)))))
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-  forall {B : Type.{u4}} {F : Type.{u3}} (E : B -> Type.{u6}) [_inst_2 : forall (x : B), AddCommMonoid.{u6} (E x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_6 : TopologicalSpace.{u4} B] {𝕜₁ : Type.{u8}} {𝕜₂ : Type.{u7}} [_inst_7 : NontriviallyNormedField.{u8} 𝕜₁] [_inst_8 : NontriviallyNormedField.{u7} 𝕜₂] {σ : RingHom.{u8, u7} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7)))))) (Semiring.toNonAssocSemiring.{u7} 𝕜₂ (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))))} {B' : Type.{u2}} [_inst_9 : TopologicalSpace.{u2} B'] [_inst_10 : NormedSpace.{u8, u3} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : forall (x : B), Module.{u8, u6} 𝕜₁ (E x) (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (_inst_2 x)] [_inst_12 : TopologicalSpace.{max u6 u4} (Bundle.TotalSpace.{u4, u6} B E)] (F' : Type.{u1}) [_inst_13 : NormedAddCommGroup.{u1} F'] [_inst_14 : NormedSpace.{u7, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)] (E' : B' -> Type.{u5}) [_inst_15 : forall (x : B'), AddCommMonoid.{u5} (E' x)] [_inst_16 : forall (x : B'), Module.{u7, u5} 𝕜₂ (E' x) (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) (_inst_15 x)] [_inst_17 : TopologicalSpace.{max u5 u2} (Bundle.TotalSpace.{u2, u5} B' E')] [_inst_18 : forall (x : B), TopologicalSpace.{u6} (E x)] [_inst_19 : FiberBundle.{u4, u3, u6} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b)] [_inst_20 : VectorBundle.{u8, u4, u3, u6} 𝕜₁ B F E _inst_7 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_11 x) _inst_4 _inst_10 _inst_6 _inst_12 (fun (x : B) => _inst_18 x) _inst_19] [_inst_21 : forall (x : B'), TopologicalSpace.{u5} (E' x)] [_inst_22 : FiberBundle.{u2, u1, u5} B' F' _inst_9 (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) E' _inst_17 (fun (b : B') => _inst_21 b)] [_inst_23 : VectorBundle.{u7, u2, u1, u5} 𝕜₂ B' F' E' _inst_8 (fun (x : B') => _inst_15 x) (fun (x : B') => _inst_16 x) _inst_13 _inst_14 _inst_9 _inst_17 (fun (x : B') => _inst_21 x) _inst_22] (x₀ : B) (x : B) (y₀ : B') (y : B') (ϕ : ContinuousLinearMap.{u8, u7, u6, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) σ (E x) (_inst_18 x) (_inst_2 x) (E' y) (_inst_21 y) (_inst_15 y) (_inst_11 x) (_inst_16 y)) (hx : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) x (Trivialization.baseSet.{u4, u3, max u4 u6} B F (Bundle.TotalSpace.{u4, u6} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_12 (Bundle.TotalSpace.proj.{u4, u6} B E) (FiberBundle.trivializationAt.{u4, u3, u6} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b) _inst_19 x₀))) (hy : Membership.mem.{u2, u2} B' (Set.{u2} B') (Set.instMembershipSet.{u2} B') y (Trivialization.baseSet.{u2, u1, max u2 u5} B' F' (Bundle.TotalSpace.{u2, u5} B' E') _inst_9 (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) _inst_17 (Bundle.TotalSpace.proj.{u2, u5} B' E') (FiberBundle.trivializationAt.{u2, u1, u5} B' F' _inst_9 (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) E' _inst_17 (fun (b : B') => _inst_21 b) _inst_22 y₀))), Eq.{max (succ u3) (succ u1)} (ContinuousLinearMap.{u8, u7, u3, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) σ F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u1} F' (NormedAddCommGroup.toAddCommGroup.{u1} F' _inst_13)) (NormedSpace.toModule.{u8, u3} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_10) (NormedSpace.toModule.{u7, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13) _inst_14)) (ContinuousLinearMap.inCoordinates.{u4, u3, u6, u8, u7, u2, u1, u5} B F E (fun (x : B) => _inst_2 x) _inst_4 _inst_6 𝕜₁ 𝕜₂ _inst_7 _inst_8 σ B' _inst_9 _inst_10 (fun (x : B) => _inst_11 x) _inst_12 F' _inst_13 _inst_14 E' (fun (x : B') => _inst_15 x) (fun (y : B') => _inst_16 y) _inst_17 (fun (b : B) => _inst_18 b) _inst_19 _inst_20 (fun (b : B') => _inst_21 b) _inst_22 _inst_23 x₀ x y₀ y ϕ) (ContinuousLinearMap.comp.{u8, u7, u7, u3, u5, u1} 𝕜₁ 𝕜₂ 𝕜₂ 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E' y) (_inst_21 y) (_inst_15 y) F' (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u1} F' (NormedAddCommGroup.toAddCommGroup.{u1} F' _inst_13)) (NormedSpace.toModule.{u8, u3} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_10) (_inst_16 y) (NormedSpace.toModule.{u7, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13) _inst_14) (RingHomCompTriple.right_ids.{u8, u7} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) σ) (ContinuousLinearEquiv.toContinuousLinearMap.{u7, u7, u5, u1} 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) (RingHom.id.{u7} 𝕜₂ (Semiring.toNonAssocSemiring.{u7} 𝕜₂ (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))))) (RingHom.id.{u7} 𝕜₂ 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(_inst_16 y) (NormedSpace.toModule.{u7, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13) _inst_14) (Trivialization.continuousLinearEquivAt.{u7, u2, u1, u5} 𝕜₂ B' F' E' _inst_8 (fun (x : B') => _inst_15 x) (fun (y : B') => _inst_16 y) _inst_13 _inst_14 _inst_9 _inst_17 (fun (b : B') => _inst_21 b) _inst_22 (FiberBundle.trivializationAt.{u2, u1, u5} B' F' _inst_9 (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) E' _inst_17 (fun (b : B') => _inst_21 b) _inst_22 y₀) (trivialization_linear.{u7, u2, u1, u5} 𝕜₂ B' F' E' _inst_8 (fun (x : B') => _inst_15 x) (fun (x : B') => _inst_16 x) _inst_13 _inst_14 _inst_9 _inst_17 (fun (b : B') => _inst_21 b) _inst_22 _inst_23 (FiberBundle.trivializationAt.{u2, u1, u5} B' F' _inst_9 (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) E' _inst_17 (fun (b : B') => _inst_21 b) _inst_22 y₀) (instMemTrivializationAtlasTrivializationAt.{u2, u1, u5} B' F' _inst_9 (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) E' _inst_17 (fun (b : B') => _inst_21 b) _inst_22 y₀)) y hy)) (ContinuousLinearMap.comp.{u8, u8, u7, u3, u6, u5} 𝕜₁ 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) (RingHom.id.{u8} 𝕜₁ (Semiring.toNonAssocSemiring.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))))) σ σ F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E x) (_inst_18 x) (_inst_2 x) (E' y) (_inst_21 y) (_inst_15 y) (NormedSpace.toModule.{u8, u3} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_10) (_inst_11 x) (_inst_16 y) (RingHomCompTriple.ids.{u8, u7} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) σ) ϕ (ContinuousLinearEquiv.toContinuousLinearMap.{u8, u8, u3, u6} 𝕜₁ 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (RingHom.id.{u8} 𝕜₁ (Semiring.toNonAssocSemiring.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))))) (RingHom.id.{u8} 𝕜₁ (Semiring.toNonAssocSemiring.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))))) (RingHomInvPair.ids.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7)))))) (RingHomInvPair.ids.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E x) (_inst_18 x) (_inst_2 x) (NormedSpace.toModule.{u8, u3} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_10) (_inst_11 x) (ContinuousLinearEquiv.symm.{u8, u8, u6, u3} 𝕜₁ 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (RingHom.id.{u8} 𝕜₁ (Semiring.toNonAssocSemiring.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))))) (RingHom.id.{u8} 𝕜₁ (Semiring.toNonAssocSemiring.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))))) (RingHomInvPair.ids.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7)))))) (RingHomInvPair.ids.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7)))))) (E x) (_inst_18 x) (_inst_2 x) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_11 x) (NormedSpace.toModule.{u8, u3} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_10) (Trivialization.continuousLinearEquivAt.{u8, u4, u3, u6} 𝕜₁ B F E _inst_7 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_11 x) _inst_4 _inst_10 _inst_6 _inst_12 (fun (x : B) => _inst_18 x) _inst_19 (FiberBundle.trivializationAt.{u4, u3, u6} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b) _inst_19 x₀) (trivialization_linear.{u8, u4, u3, u6} 𝕜₁ B F E _inst_7 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_11 x) _inst_4 _inst_10 _inst_6 _inst_12 (fun (b : B) => _inst_18 b) _inst_19 _inst_20 (FiberBundle.trivializationAt.{u4, u3, u6} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b) _inst_19 x₀) (instMemTrivializationAtlasTrivializationAt.{u4, u3, u6} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b) _inst_19 x₀)) x hx)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.in_coordinates_eq ContinuousLinearMap.inCoordinates_eqₓ'. -/
 /-- rewrite `in_coordinates` using continuous linear equivalences. -/
 theorem inCoordinates_eq (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y)
@@ -1634,10 +1466,7 @@ theorem inCoordinates_eq (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y)
 #align continuous_linear_map.in_coordinates_eq ContinuousLinearMap.inCoordinates_eq
 
 /- warning: continuous_linear_map.vector_bundle_core.in_coordinates_eq -> VectorBundleCore.inCoordinates_eq is a dubious translation:
-lean 3 declaration is
-  forall {B : Type.{u1}} {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_6 : TopologicalSpace.{u1} B] {𝕜₁ : Type.{u3}} {𝕜₂ : Type.{u4}} [_inst_7 : NontriviallyNormedField.{u3} 𝕜₁] [_inst_8 : NontriviallyNormedField.{u4} 𝕜₂] {σ : RingHom.{u3, u4} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₁ (Ring.toNonAssocRing.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7)))))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))))} {B' : Type.{u5}} [_inst_9 : TopologicalSpace.{u5} B'] [_inst_10 : NormedSpace.{u3, u2} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {F' : Type.{u6}} [_inst_13 : NormedAddCommGroup.{u6} F'] [_inst_14 : NormedSpace.{u4, u6} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13)] {ι : Type.{u7}} {ι' : Type.{u8}} (Z : VectorBundleCore.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι) (Z' : VectorBundleCore.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι') {x₀ : B} {x : B} {y₀ : B'} {y : B'} (ϕ : ContinuousLinearMap.{u3, u4, u2, u6} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))) σ F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u6} F' (PseudoMetricSpace.toUniformSpace.{u6} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u6} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u6} F' (NormedAddCommGroup.toAddCommGroup.{u6} F' _inst_13)) (NormedSpace.toModule.{u3, u2} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_10) (NormedSpace.toModule.{u4, u6} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13) _inst_14)), (Membership.Mem.{u1, u1} B (Set.{u1} B) (Set.hasMem.{u1} B) x (VectorBundleCore.baseSet.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z (VectorBundleCore.indexAt.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x₀))) -> (Membership.Mem.{u5, u5} B' (Set.{u5} B') (Set.hasMem.{u5} B') y (VectorBundleCore.baseSet.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' (VectorBundleCore.indexAt.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' y₀))) -> (Eq.{max (succ u2) (succ u6)} (ContinuousLinearMap.{u3, u4, u2, u6} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))) σ F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u6} F' (PseudoMetricSpace.toUniformSpace.{u6} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u6} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u6} F' (NormedAddCommGroup.toAddCommGroup.{u6} F' _inst_13)) (NormedSpace.toModule.{u3, u2} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_10) (NormedSpace.toModule.{u4, u6} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13) _inst_14)) (ContinuousLinearMap.inCoordinates.{u1, u2, u2, u3, u4, u5, u6, u6} B F (VectorBundleCore.Fiber.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z) (fun (x : B) => VectorBundleCore.addCommMonoidFiber.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x) _inst_4 _inst_6 𝕜₁ 𝕜₂ _inst_7 _inst_8 σ B' _inst_9 _inst_10 (fun {x : B} => NormedSpace.toModule.{u3, u2} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_10) (VectorBundleCore.toTopologicalSpace.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z) F' _inst_13 _inst_14 (VectorBundleCore.Fiber.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z') (fun (x : B') => VectorBundleCore.addCommMonoidFiber.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' x) (fun {y : B'} => NormedSpace.toModule.{u4, u6} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13) _inst_14) (VectorBundleCore.toTopologicalSpace.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z') (fun (x : B) => VectorBundleCore.topologicalSpaceFiber.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x) (VectorBundleCore.fiberBundle.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z) (VectorBundleCore.vectorBundle.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z) (fun (x : B') => VectorBundleCore.topologicalSpaceFiber.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' x) (VectorBundleCore.fiberBundle.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z') (VectorBundleCore.vectorBundle.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z') x₀ x y₀ y ϕ) (ContinuousLinearMap.comp.{u3, u4, u4, u2, u6, u6} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))) (Ring.toSemiring.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))) σ (RingHom.id.{u4} 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))))) σ F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u6} F' (PseudoMetricSpace.toUniformSpace.{u6} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u6} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u6} F' (NormedAddCommGroup.toAddCommGroup.{u6} F' _inst_13)) F' (UniformSpace.toTopologicalSpace.{u6} F' (PseudoMetricSpace.toUniformSpace.{u6} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u6} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u6} F' (NormedAddCommGroup.toAddCommGroup.{u6} F' _inst_13)) (NormedSpace.toModule.{u3, u2} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_10) (NormedSpace.toModule.{u4, u6} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13) _inst_14) (NormedSpace.toModule.{u4, u6} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13) _inst_14) (RingHomCompTriple.right_ids.{u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))) σ) (VectorBundleCore.coordChange.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' (VectorBundleCore.indexAt.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' y) (VectorBundleCore.indexAt.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' y₀) y) (ContinuousLinearMap.comp.{u3, u3, u4, u2, u2, u6} 𝕜₁ 𝕜₁ 𝕜₂ (Ring.toSemiring.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))) (RingHom.id.{u3} 𝕜₁ (Semiring.toNonAssocSemiring.{u3} 𝕜₁ (Ring.toSemiring.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7))))))) σ σ F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u6} F' (PseudoMetricSpace.toUniformSpace.{u6} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u6} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u6} F' (NormedAddCommGroup.toAddCommGroup.{u6} F' _inst_13)) (NormedSpace.toModule.{u3, u2} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_10) (NormedSpace.toModule.{u3, u2} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_10) (NormedSpace.toModule.{u4, u6} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13) _inst_14) (RingHomCompTriple.ids.{u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))) σ) ϕ (VectorBundleCore.coordChange.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z (VectorBundleCore.indexAt.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x₀) (VectorBundleCore.indexAt.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x) x))))
-but is expected to have type
-  forall {B : Type.{u5}} {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_6 : TopologicalSpace.{u5} B] {𝕜₁ : Type.{u6}} {𝕜₂ : Type.{u3}} [_inst_7 : NontriviallyNormedField.{u6} 𝕜₁] [_inst_8 : NontriviallyNormedField.{u3} 𝕜₂] {σ : RingHom.{u6, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u6} 𝕜₁ (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))))} {B' : Type.{u2}} [_inst_9 : TopologicalSpace.{u2} B'] [_inst_10 : NormedSpace.{u6, u4} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] (F' : Type.{u1}) [_inst_13 : NormedAddCommGroup.{u1} F'] [_inst_14 : NormedSpace.{u3, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)] {ι : Type.{u8}} {ι' : Type.{u7}} (Z : VectorBundleCore.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι) (Z' : VectorBundleCore.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι') {x₀ : B} {x : B} {y₀ : B'} {y : B'} (ϕ : ContinuousLinearMap.{u6, u3, u4, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))) σ F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u1} F' (NormedAddCommGroup.toAddCommGroup.{u1} F' _inst_13)) (NormedSpace.toModule.{u6, u4} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_10) (NormedSpace.toModule.{u3, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13) _inst_14)), (Membership.mem.{u5, u5} B (Set.{u5} B) (Set.instMembershipSet.{u5} B) x (VectorBundleCore.baseSet.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z (VectorBundleCore.indexAt.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x₀))) -> (Membership.mem.{u2, u2} B' (Set.{u2} B') (Set.instMembershipSet.{u2} B') y (VectorBundleCore.baseSet.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' (VectorBundleCore.indexAt.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' y₀))) -> (Eq.{max (succ u4) (succ u1)} (ContinuousLinearMap.{u6, u3, u4, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))) σ F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u1} F' (NormedAddCommGroup.toAddCommGroup.{u1} F' _inst_13)) (NormedSpace.toModule.{u6, u4} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_10) (NormedSpace.toModule.{u3, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13) _inst_14)) (ContinuousLinearMap.inCoordinates.{u5, u4, u4, u6, u3, u2, u1, u1} B F (VectorBundleCore.Fiber.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z) (fun (x : B) => AddCommGroup.toAddCommMonoid.{u4} (VectorBundleCore.Fiber.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x) (VectorBundleCore.addCommGroupFiber.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x)) _inst_4 _inst_6 𝕜₁ 𝕜₂ _inst_7 _inst_8 σ B' _inst_9 _inst_10 (fun (x : B) => VectorBundleCore.moduleFiber.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x) (VectorBundleCore.toTopologicalSpace.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z) F' _inst_13 _inst_14 (VectorBundleCore.Fiber.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z') (fun (x : B') => AddCommGroup.toAddCommMonoid.{u1} (VectorBundleCore.Fiber.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' x) (VectorBundleCore.addCommGroupFiber.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' x)) (fun (y : B') => VectorBundleCore.moduleFiber.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' y) (VectorBundleCore.toTopologicalSpace.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z') (fun (x : B) => VectorBundleCore.topologicalSpaceFiber.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x) (VectorBundleCore.fiberBundle.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z) (VectorBundleCore.vectorBundle.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z) (fun (x : B') => VectorBundleCore.topologicalSpaceFiber.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' x) (VectorBundleCore.fiberBundle.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z') (VectorBundleCore.vectorBundle.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z') x₀ x y₀ y ϕ) (ContinuousLinearMap.comp.{u6, u3, u3, u4, u1, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))) σ (RingHom.id.{u3} 𝕜₂ (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))))) σ F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u1} F' (NormedAddCommGroup.toAddCommGroup.{u1} F' _inst_13)) F' (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u1} F' (NormedAddCommGroup.toAddCommGroup.{u1} F' _inst_13)) (NormedSpace.toModule.{u6, u4} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_10) (NormedSpace.toModule.{u3, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13) _inst_14) (NormedSpace.toModule.{u3, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13) _inst_14) (RingHomCompTriple.right_ids.{u6, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))) σ) (VectorBundleCore.coordChange.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' (VectorBundleCore.indexAt.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' y) (VectorBundleCore.indexAt.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' y₀) y) (ContinuousLinearMap.comp.{u6, u6, u3, u4, u4, u1} 𝕜₁ 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))) (RingHom.id.{u6} 𝕜₁ (Semiring.toNonAssocSemiring.{u6} 𝕜₁ (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7))))))) σ σ F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u1} F' (NormedAddCommGroup.toAddCommGroup.{u1} F' _inst_13)) (NormedSpace.toModule.{u6, u4} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_10) (NormedSpace.toModule.{u6, u4} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_10) (NormedSpace.toModule.{u3, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13) _inst_14) (RingHomCompTriple.ids.{u6, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))) σ) ϕ (VectorBundleCore.coordChange.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z (VectorBundleCore.indexAt.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x₀) (VectorBundleCore.indexAt.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x) x))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.vector_bundle_core.in_coordinates_eq VectorBundleCore.inCoordinates_eqₓ'. -/
 /-- rewrite `in_coordinates` in a `vector_bundle_core`. -/
 protected theorem VectorBundleCore.inCoordinates_eq {ι ι'} (Z : VectorBundleCore 𝕜₁ B F ι)

bump to nightly-2023-05-24-12

mathlib commit https://github.com/leanprover-community/mathlib/commit/8d33f09cd7089ecf074b4791907588245aec5d1b

2a3e3db2

Diff

@@ -623,9 +623,9 @@ instance (priority := 100) trivialization_linear [VectorBundle R F E] (e : Trivi
 
 /- warning: continuous_on_coord_change -> continuousOn_coordChange is a dubious translation:
 lean 3 declaration is
-  forall (R : Type.{u1}) {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] [_inst_10 : VectorBundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) (e' : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [he : MemTrivializationAtlas.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e] [he' : MemTrivializationAtlas.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e'], ContinuousOn.{u2, u3} B (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) _inst_6 (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, u3} R R (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) 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(NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearEquiv.ContinuousLinearMap.coe.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) (Trivialization.coordChangeL.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e e' (trivialization_linear.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 _inst_10 e he) (trivialization_linear.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 _inst_10 e' he') b)) (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e'))
+  forall (R : Type.{u1}) {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] [_inst_10 : VectorBundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) (e' : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [he : MemTrivializationAtlas.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e] [he' : MemTrivializationAtlas.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e'], ContinuousOn.{u2, u3} B (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) _inst_6 (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, u3} R R (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (fun (b : B) => (fun (a : Type.{u3}) (b : Type.{u3}) [self : HasLiftT.{succ u3, succ u3} a b] => self.0) (ContinuousLinearEquiv.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (HasLiftT.mk.{succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (CoeTCₓ.coe.{succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (coeBase.{succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearEquiv.ContinuousLinearMap.coe.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) (Trivialization.coordChangeL.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e e' (trivialization_linear.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 _inst_10 e he) (trivialization_linear.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 _inst_10 e' he') b)) (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e'))
 but is expected to have type
-  forall (R : Type.{u4}) {B : Type.{u3}} {F : Type.{u2}} {E : B -> Type.{u1}} [_inst_1 : NontriviallyNormedField.{u4} R] [_inst_2 : forall (x : B), AddCommMonoid.{u1} (E x)] [_inst_3 : forall (x : B), Module.{u4, u1} R (E x) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] [_inst_7 : TopologicalSpace.{max u1 u3} (Bundle.TotalSpace.{u3, u1} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u1} (E x)] [_inst_9 : FiberBundle.{u3, u2, u1} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] [_inst_10 : VectorBundle.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9] (e : Trivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u3, u1} B E)) (e' : Trivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u3, u1} B E)) [he : MemTrivializationAtlas.{u3, u2, u1} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e] [he' : MemTrivializationAtlas.{u3, u2, u1} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e'], ContinuousOn.{u3, u2} B (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) _inst_6 (ContinuousLinearMap.topologicalSpace.{u4, u4, u2, u2} R R (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F F (SeminormedAddCommGroup.toAddCommGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (SeminormedAddCommGroup.toAddCommGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4))) (fun (b : B) => ContinuousLinearEquiv.toContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) (RingHomInvPair.ids.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1)))))) (RingHomInvPair.ids.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (Trivialization.coordChangeL.{u4, u3, u2, u1} R B F E (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e e' (trivialization_linear.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 _inst_10 e he) (trivialization_linear.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 _inst_10 e' he') b)) (Inter.inter.{u3} (Set.{u3} B) (Set.instInterSet.{u3} B) (Trivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u3, u1} B E) e) (Trivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u3, u1} B E) e'))
+  forall (R : Type.{u4}) {B : Type.{u3}} {F : Type.{u2}} {E : B -> Type.{u1}} [_inst_1 : NontriviallyNormedField.{u4} R] [_inst_2 : forall (x : B), AddCommMonoid.{u1} (E x)] [_inst_3 : forall (x : B), Module.{u4, u1} R (E x) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] [_inst_7 : TopologicalSpace.{max u1 u3} (Bundle.TotalSpace.{u3, u1} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u1} (E x)] [_inst_9 : FiberBundle.{u3, u2, u1} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] [_inst_10 : VectorBundle.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9] (e : Trivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u3, u1} B E)) (e' : Trivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u3, u1} B E)) [he : MemTrivializationAtlas.{u3, u2, u1} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e] [he' : MemTrivializationAtlas.{u3, u2, u1} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e'], ContinuousOn.{u3, u2} B (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) _inst_6 (ContinuousLinearMap.topologicalSpace.{u4, u4, u2, u2} R R (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F F (SeminormedAddCommGroup.toAddCommGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (SeminormedAddCommGroup.toAddCommGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4))) (fun (b : B) => ContinuousLinearEquiv.toContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) (RingHomInvPair.ids.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1)))))) (RingHomInvPair.ids.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (Trivialization.coordChangeL.{u4, u3, u2, u1} R B F E (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e e' (trivialization_linear.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 _inst_10 e he) (trivialization_linear.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 _inst_10 e' he') b)) (Inter.inter.{u3} (Set.{u3} B) (Set.instInterSet.{u3} B) (Trivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u3, u1} B E) e) (Trivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u3, u1} B E) e'))
 Case conversion may be inaccurate. Consider using '#align continuous_on_coord_change continuousOn_coordChangeₓ'. -/
 theorem continuousOn_coordChange [VectorBundle R F E] (e e' : Trivialization F (π E))
     [he : MemTrivializationAtlas e] [he' : MemTrivializationAtlas e'] :
@@ -1378,9 +1378,9 @@ def coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
 
 /- warning: vector_prebundle.continuous_on_coord_change -> VectorPrebundle.continuousOn_coordChange is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] (a : VectorPrebundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) {e : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)} {e' : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)} (he : Membership.Mem.{max u2 u3 u2 u4, max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)) (Set.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) (Set.hasMem.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) e (VectorPrebundle.pretrivializationAtlas.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)) (he' : Membership.Mem.{max u2 u3 u2 u4, max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)) (Set.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) (Set.hasMem.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) e' (VectorPrebundle.pretrivializationAtlas.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)), ContinuousOn.{u2, u3} B (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) _inst_6 (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, u3} R R (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (VectorPrebundle.coordChange.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a e e' he he') (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E) e) (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E) e'))
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] (a : VectorPrebundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) {e : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)} {e' : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)} (he : Membership.Mem.{max u2 u3 u2 u4, max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)) (Set.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) (Set.hasMem.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) e (VectorPrebundle.pretrivializationAtlas.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)) (he' : Membership.Mem.{max u2 u3 u2 u4, max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)) (Set.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) (Set.hasMem.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) e' (VectorPrebundle.pretrivializationAtlas.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)), ContinuousOn.{u2, u3} B (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) _inst_6 (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, u3} R R (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (VectorPrebundle.coordChange.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a e e' he he') (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E) e) (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E) e'))
 but is expected to have type
-  forall {R : Type.{u4}} {B : Type.{u3}} {F : Type.{u2}} {E : B -> Type.{u1}} [_inst_1 : NontriviallyNormedField.{u4} R] [_inst_2 : forall (x : B), AddCommMonoid.{u1} (E x)] [_inst_3 : forall (x : B), Module.{u4, u1} R (E x) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] (a : VectorPrebundle.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) {e : Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)} {e' : Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)} (he : Membership.mem.{max (max u3 u2) u1, max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)) (Set.{max (max (max u3 u1) u2) u3} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) (Set.instMembershipSet.{max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) e (VectorPrebundle.pretrivializationAtlas.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)) (he' : Membership.mem.{max (max u3 u2) u1, max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)) (Set.{max (max (max u3 u1) u2) u3} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) (Set.instMembershipSet.{max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) e' (VectorPrebundle.pretrivializationAtlas.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)), ContinuousOn.{u3, u2} B (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) _inst_6 (ContinuousLinearMap.topologicalSpace.{u4, u4, u2, u2} R R (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F F (SeminormedAddCommGroup.toAddCommGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (SeminormedAddCommGroup.toAddCommGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4))) (VectorPrebundle.coordChange.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a e e' he he') (Inter.inter.{u3} (Set.{u3} B) (Set.instInterSet.{u3} B) (Pretrivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E) e) (Pretrivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E) e'))
+  forall {R : Type.{u4}} {B : Type.{u3}} {F : Type.{u2}} {E : B -> Type.{u1}} [_inst_1 : NontriviallyNormedField.{u4} R] [_inst_2 : forall (x : B), AddCommMonoid.{u1} (E x)] [_inst_3 : forall (x : B), Module.{u4, u1} R (E x) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] (a : VectorPrebundle.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) {e : Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)} {e' : Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)} (he : Membership.mem.{max (max u3 u2) u1, max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)) (Set.{max (max (max u3 u1) u2) u3} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) (Set.instMembershipSet.{max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) e (VectorPrebundle.pretrivializationAtlas.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)) (he' : Membership.mem.{max (max u3 u2) u1, max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)) (Set.{max (max (max u3 u1) u2) u3} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) (Set.instMembershipSet.{max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) e' (VectorPrebundle.pretrivializationAtlas.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)), ContinuousOn.{u3, u2} B (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) _inst_6 (ContinuousLinearMap.topologicalSpace.{u4, u4, u2, u2} R R (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F F (SeminormedAddCommGroup.toAddCommGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (SeminormedAddCommGroup.toAddCommGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4))) (VectorPrebundle.coordChange.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a e e' he he') (Inter.inter.{u3} (Set.{u3} B) (Set.instInterSet.{u3} B) (Pretrivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E) e) (Pretrivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E) e'))
 Case conversion may be inaccurate. Consider using '#align vector_prebundle.continuous_on_coord_change VectorPrebundle.continuousOn_coordChangeₓ'. -/
 theorem continuousOn_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) :

bump to nightly-2023-05-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/8d33f09cd7089ecf074b4791907588245aec5d1b

fbc7b476

Diff

@@ -144,7 +144,7 @@ variable {R}
 lean 3 declaration is
   forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_7 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] (b : B), Eq.{max (succ u4) (succ u3)} ((E b) -> F) (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (fun (_x : LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) => (E b) -> F) (LinearMap.hasCoeToFun.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b)) (fun (y : E b) => ite.{succ u3} F (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Classical.propDecidable (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) e))) (Prod.snd.{u2, u3} B F (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Pretrivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) e (Bundle.totalSpaceMk.{u2, u4} B E b y))) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_4)))))))
 but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_7 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] (b : B), Eq.{max (succ u3) (succ u2)} (forall (ᾰ : E b), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) ᾰ) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b)) (fun (y : E b) => ite.{succ u3} F (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Pretrivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Classical.propDecidable (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Pretrivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e))) (Prod.snd.{u4, u3} B F (Pretrivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e (Bundle.totalSpaceMk.{u4, u2} B E b y))) (OfNat.ofNat.{u3} F 0 (Zero.toOfNat0.{u3} F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_4)))))
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_7 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] (b : B), Eq.{max (succ u3) (succ u2)} (forall (ᾰ : E b), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) ᾰ) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b)) (fun (y : E b) => ite.{succ u3} F (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Pretrivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Classical.propDecidable (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Pretrivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e))) (Prod.snd.{u4, u3} B F (Pretrivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e (Bundle.totalSpaceMk.{u4, u2} B E b y))) (OfNat.ofNat.{u3} F 0 (Zero.toOfNat0.{u3} F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_4)))))
 Case conversion may be inaccurate. Consider using '#align pretrivialization.coe_linear_map_at Pretrivialization.coe_linearMapAtₓ'. -/
 theorem coe_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B) :
     ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 :=
@@ -157,7 +157,7 @@ theorem coe_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B)
 lean 3 declaration is
   forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_7 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) -> (Eq.{max (succ u4) (succ u3)} ((E b) -> F) (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (fun (_x : LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) => (E b) -> F) (LinearMap.hasCoeToFun.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b)) (fun (y : E b) => Prod.snd.{u2, u3} B F (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Pretrivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) e (Bundle.totalSpaceMk.{u2, u4} B E b y))))
 but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_7 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Pretrivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) -> (Eq.{max (succ u3) (succ u2)} (forall (ᾰ : E b), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) ᾰ) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b)) (fun (y : E b) => Prod.snd.{u4, u3} B F (Pretrivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e (Bundle.totalSpaceMk.{u4, u2} B E b y))))
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_7 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Pretrivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) -> (Eq.{max (succ u3) (succ u2)} (forall (ᾰ : E b), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) ᾰ) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b)) (fun (y : E b) => Prod.snd.{u4, u3} B F (Pretrivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e (Bundle.totalSpaceMk.{u4, u2} B E b y))))
 Case conversion may be inaccurate. Consider using '#align pretrivialization.coe_linear_map_at_of_mem Pretrivialization.coe_linearMapAt_of_memₓ'. -/
 theorem coe_linearMapAt_of_mem (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e (totalSpaceMk b y)).2 := by
@@ -168,7 +168,7 @@ theorem coe_linearMapAt_of_mem (e : Pretrivialization F (π E)) [e.isLinear R] {
 lean 3 declaration is
   forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_7 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B} (y : E b), Eq.{succ u3} F (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (fun (_x : LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) => (E b) -> F) (LinearMap.hasCoeToFun.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) y) (ite.{succ u3} F (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Classical.propDecidable (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) e))) (Prod.snd.{u2, u3} B F (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Pretrivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) e (Bundle.totalSpaceMk.{u2, u4} B E b y))) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_4)))))))
 but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_7 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B} (y : E b), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) y) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) y) (ite.{succ u3} F (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Pretrivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Classical.propDecidable (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Pretrivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e))) (Prod.snd.{u4, u3} B F (Pretrivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e (Bundle.totalSpaceMk.{u4, u2} B E b y))) (OfNat.ofNat.{u3} F 0 (Zero.toOfNat0.{u3} F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_4)))))
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_7 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B} (y : E b), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) y) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) y) (ite.{succ u3} F (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Pretrivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Classical.propDecidable (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Pretrivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e))) (Prod.snd.{u4, u3} B F (Pretrivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e (Bundle.totalSpaceMk.{u4, u2} B E b y))) (OfNat.ofNat.{u3} F 0 (Zero.toOfNat0.{u3} F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_4)))))
 Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_apply Pretrivialization.linearMapAt_applyₓ'. -/
 theorem linearMapAt_apply (e : Pretrivialization F (π E)) [e.isLinear R] {b : B} (y : E b) :
     e.linearMapAt R b y = if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
@@ -212,7 +212,7 @@ theorem linearMapAt_eq_zero (e : Pretrivialization F (π E)) [e.isLinear R] {b :
 lean 3 declaration is
   forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_7 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) -> (forall (y : E b), Eq.{succ u4} (E b) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_4 (_inst_6 b) _inst_5 (_inst_7 b)) (fun (_x : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_4 (_inst_6 b) _inst_5 (_inst_7 b)) => F -> (E b)) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R F (E b) _inst_1 _inst_1 _inst_4 (_inst_6 b) _inst_5 (_inst_7 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.symmₗ.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (fun (_x : LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) => (E b) -> F) (LinearMap.hasCoeToFun.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) y)) y)
 but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_7 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Pretrivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) -> (forall (y : E b), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => E b) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (E b) (fun (a : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) y)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_4 (_inst_6 b) _inst_5 (_inst_7 b)) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => E b) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R F (E b) _inst_1 _inst_1 _inst_4 (_inst_6 b) _inst_5 (_inst_7 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.symmₗ.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) y)) y)
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_7 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Pretrivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) -> (forall (y : E b), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => E b) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (E b) (fun (a : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) y)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_4 (_inst_6 b) _inst_5 (_inst_7 b)) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => E b) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R F (E b) _inst_1 _inst_1 _inst_4 (_inst_6 b) _inst_5 (_inst_7 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.symmₗ.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) y)) y)
 Case conversion may be inaccurate. Consider using '#align pretrivialization.symmₗ_linear_map_at Pretrivialization.symmₗ_linearMapAtₓ'. -/
 theorem symmₗ_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : E b) : e.symmₗ R b (e.linearMapAt R b y) = y :=
@@ -225,7 +225,7 @@ theorem symmₗ_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] {b :
 lean 3 declaration is
   forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_7 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) -> (forall (y : F), Eq.{succ u3} F (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (fun (_x : LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) => (E b) -> F) (LinearMap.hasCoeToFun.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_4 (_inst_6 b) _inst_5 (_inst_7 b)) (fun (_x : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_4 (_inst_6 b) _inst_5 (_inst_7 b)) => F -> (E b)) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R F (E b) _inst_1 _inst_1 _inst_4 (_inst_6 b) _inst_5 (_inst_7 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.symmₗ.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) y)) y)
 but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_7 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Pretrivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) -> (forall (y : F), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_4 (_inst_6 b) _inst_5 (_inst_7 b)) F (fun (a : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => E b) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R F (E b) _inst_1 _inst_1 _inst_4 (_inst_6 b) _inst_5 (_inst_7 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.symmₗ.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) y)) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_4 (_inst_6 b) _inst_5 (_inst_7 b)) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => E b) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R F (E b) _inst_1 _inst_1 _inst_4 (_inst_6 b) _inst_5 (_inst_7 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.symmₗ.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) y)) y)
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_7 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Pretrivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) -> (forall (y : F), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_4 (_inst_6 b) _inst_5 (_inst_7 b)) F (fun (a : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => E b) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R F (E b) _inst_1 _inst_1 _inst_4 (_inst_6 b) _inst_5 (_inst_7 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.symmₗ.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) y)) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_4 (_inst_6 b) _inst_5 (_inst_7 b)) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => E b) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R F (E b) _inst_1 _inst_1 _inst_4 (_inst_6 b) _inst_5 (_inst_7 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.symmₗ.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) y)) y)
 Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_symmₗ Pretrivialization.linearMapAt_symmₗₓ'. -/
 theorem linearMapAt_symmₗ (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : F) : e.linearMapAt R b (e.symmₗ R b y) = y :=
@@ -287,7 +287,7 @@ variable {R}
 lean 3 declaration is
   forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] (b : B) (hb : Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (v : E b), Eq.{succ u3} F (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LinearEquiv.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (fun (_x : LinearEquiv.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) => (E b) -> F) (LinearEquiv.hasCoeToFun.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)) (Trivialization.linearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b hb) v) (Prod.snd.{u2, u3} B F (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Trivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) _inst_4) e (Bundle.totalSpaceMk.{u2, u4} B E b v)))
 but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] (b : B) (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (v : E b), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : E b) => F) v) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearEquiv.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : E b) => F) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) R (E b) F (SMulZeroClass.toSMul.{u1, u2} R (E b) (AddMonoid.toZero.{u2} (E b) (AddCommMonoid.toAddMonoid.{u2} (E b) (_inst_7 b))) (DistribSMul.toSMulZeroClass.{u1, u2} R (E b) (AddMonoid.toAddZeroClass.{u2} (E b) (AddCommMonoid.toAddMonoid.{u2} (E b) (_inst_7 b))) (DistribMulAction.toDistribSMul.{u1, u2} R (E b) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u2} (E b) (_inst_7 b)) (Module.toDistribMulAction.{u1, u2} R (E b) _inst_1 (_inst_7 b) (_inst_8 b))))) (SMulZeroClass.toSMul.{u1, u3} R F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribSMul.toSMulZeroClass.{u1, u3} R F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribMulAction.toDistribSMul.{u1, u3} R F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6)))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) R (E b) F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u2} (E b) (_inst_7 b)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u2} R (E b) _inst_1 (_inst_7 b) (_inst_8 b)) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u3, max u3 u2} R (E b) F (LinearEquiv.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u3, max u3 u2} R R (E b) F (LinearEquiv.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)))))) (Trivialization.linearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b hb) v) (Prod.snd.{u4, u3} B F (Trivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) _inst_4 e (Bundle.totalSpaceMk.{u4, u2} B E b v)))
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] (b : B) (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (v : E b), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E b) => F) v) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearEquiv.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : E b) => F) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) R (E b) F (SMulZeroClass.toSMul.{u1, u2} R (E b) (AddMonoid.toZero.{u2} (E b) (AddCommMonoid.toAddMonoid.{u2} (E b) (_inst_7 b))) (DistribSMul.toSMulZeroClass.{u1, u2} R (E b) (AddMonoid.toAddZeroClass.{u2} (E b) (AddCommMonoid.toAddMonoid.{u2} (E b) (_inst_7 b))) (DistribMulAction.toDistribSMul.{u1, u2} R (E b) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u2} (E b) (_inst_7 b)) (Module.toDistribMulAction.{u1, u2} R (E b) _inst_1 (_inst_7 b) (_inst_8 b))))) (SMulZeroClass.toSMul.{u1, u3} R F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribSMul.toSMulZeroClass.{u1, u3} R F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribMulAction.toDistribSMul.{u1, u3} R F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6)))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) R (E b) F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u2} (E b) (_inst_7 b)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u2} R (E b) _inst_1 (_inst_7 b) (_inst_8 b)) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u3, max u3 u2} R (E b) F (LinearEquiv.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u3, max u3 u2} R R (E b) F (LinearEquiv.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)))))) (Trivialization.linearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b hb) v) (Prod.snd.{u4, u3} B F (Trivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) _inst_4 e (Bundle.totalSpaceMk.{u4, u2} B E b v)))
 Case conversion may be inaccurate. Consider using '#align trivialization.linear_equiv_at_apply Trivialization.linearEquivAt_applyₓ'. -/
 @[simp]
 theorem linearEquivAt_apply (e : Trivialization F (π E)) [e.isLinear R] (b : B) (hb : b ∈ e.baseSet)
@@ -299,7 +299,7 @@ theorem linearEquivAt_apply (e : Trivialization F (π E)) [e.isLinear R] (b : B)
 lean 3 declaration is
   forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] (b : B) (hb : Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (v : F), Eq.{succ u4} (E b) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) (fun (_x : LinearEquiv.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) => F -> (E b)) (LinearEquiv.hasCoeToFun.{u1, u1, u3, u4} R R F (E b) _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)) (LinearEquiv.symm.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (Trivialization.linearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (b : B) => _inst_7 b) (fun (x : B) => _inst_8 x) e _inst_9 b hb)) v) (Trivialization.symm.{u2, u3, u4} B F E _inst_3 _inst_2 _inst_4 (fun (x : B) => AddZeroClass.toHasZero.{u4} (E x) (AddMonoid.toAddZeroClass.{u4} (E x) (AddCommMonoid.toAddMonoid.{u4} (E x) (_inst_7 x)))) e b v)
 but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] (b : B) (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (v : F), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : F) => E b) v) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : F) => E b) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, u3, u2} (LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) R F (E b) (SMulZeroClass.toSMul.{u1, u3} R F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribSMul.toSMulZeroClass.{u1, u3} R F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribMulAction.toDistribSMul.{u1, u3} R F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6)))) (SMulZeroClass.toSMul.{u1, u2} R (E b) (AddMonoid.toZero.{u2} (E b) (AddCommMonoid.toAddMonoid.{u2} (E b) (_inst_7 b))) (DistribSMul.toSMulZeroClass.{u1, u2} R (E b) (AddMonoid.toAddZeroClass.{u2} (E b) (AddCommMonoid.toAddMonoid.{u2} (E b) (_inst_7 b))) (DistribMulAction.toDistribSMul.{u1, u2} R (E b) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u2} (E b) (_inst_7 b)) (Module.toDistribMulAction.{u1, u2} R (E b) _inst_1 (_inst_7 b) (_inst_8 b))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, u3, u2} (LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) R F (E b) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (AddCommMonoid.toAddMonoid.{u2} (E b) (_inst_7 b)) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6) (Module.toDistribMulAction.{u1, u2} R (E b) _inst_1 (_inst_7 b) (_inst_8 b)) (SemilinearMapClass.distribMulActionHomClass.{u1, u3, u2, max u3 u2} R F (E b) (LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u3, u2, max u3 u2} R R F (E b) (LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u3, u2} R R F (E b) _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)))))) (LinearEquiv.symm.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (Trivialization.linearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (b : B) => _inst_7 b) (fun (x : B) => _inst_8 x) e _inst_9 b hb)) v) (Trivialization.symm.{u4, u3, u2} B F E _inst_3 _inst_2 _inst_4 (fun (x : B) => AddMonoid.toZero.{u2} (E x) (AddCommMonoid.toAddMonoid.{u2} (E x) (_inst_7 x))) e b v)
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] (b : B) (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (v : F), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : F) => E b) v) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : F) => E b) _x) (SMulHomClass.toFunLike.{max u3 u2, u1, u3, u2} (LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) R F (E b) (SMulZeroClass.toSMul.{u1, u3} R F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribSMul.toSMulZeroClass.{u1, u3} R F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribMulAction.toDistribSMul.{u1, u3} R F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6)))) (SMulZeroClass.toSMul.{u1, u2} R (E b) (AddMonoid.toZero.{u2} (E b) (AddCommMonoid.toAddMonoid.{u2} (E b) (_inst_7 b))) (DistribSMul.toSMulZeroClass.{u1, u2} R (E b) (AddMonoid.toAddZeroClass.{u2} (E b) (AddCommMonoid.toAddMonoid.{u2} (E b) (_inst_7 b))) (DistribMulAction.toDistribSMul.{u1, u2} R (E b) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u2} (E b) (_inst_7 b)) (Module.toDistribMulAction.{u1, u2} R (E b) _inst_1 (_inst_7 b) (_inst_8 b))))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u2, u1, u3, u2} (LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) R F (E b) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (AddCommMonoid.toAddMonoid.{u2} (E b) (_inst_7 b)) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6) (Module.toDistribMulAction.{u1, u2} R (E b) _inst_1 (_inst_7 b) (_inst_8 b)) (SemilinearMapClass.distribMulActionHomClass.{u1, u3, u2, max u3 u2} R F (E b) (LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u3, u2, max u3 u2} R R F (E b) (LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u3, u2} R R F (E b) _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)))))) (LinearEquiv.symm.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (Trivialization.linearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (b : B) => _inst_7 b) (fun (x : B) => _inst_8 x) e _inst_9 b hb)) v) (Trivialization.symm.{u4, u3, u2} B F E _inst_3 _inst_2 _inst_4 (fun (x : B) => AddMonoid.toZero.{u2} (E x) (AddCommMonoid.toAddMonoid.{u2} (E x) (_inst_7 x))) e b v)
 Case conversion may be inaccurate. Consider using '#align trivialization.linear_equiv_at_symm_apply Trivialization.linearEquivAt_symm_applyₓ'. -/
 @[simp]
 theorem linearEquivAt_symm_apply (e : Trivialization F (π E)) [e.isLinear R] (b : B)
@@ -322,7 +322,7 @@ variable {R}
 lean 3 declaration is
   forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] (b : B), Eq.{max (succ u3) (succ u4)} (F -> (E b)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) (fun (_x : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) => F -> (E b)) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R F (E b) _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.symmₗ.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b)) (Trivialization.symm.{u2, u3, u4} B F E _inst_3 _inst_2 _inst_4 (fun (x : B) => AddZeroClass.toHasZero.{u4} (E x) (AddMonoid.toAddZeroClass.{u4} (E x) (AddCommMonoid.toAddMonoid.{u4} (E x) (_inst_7 x)))) e b)
 but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] (b : B), Eq.{max (succ u3) (succ u2)} (forall (ᾰ : F), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => E b) ᾰ) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => E b) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R F (E b) _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.symmₗ.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b)) (Trivialization.symm.{u4, u3, u2} B F E _inst_3 _inst_2 _inst_4 (fun (x : B) => AddMonoid.toZero.{u2} (E x) (AddCommMonoid.toAddMonoid.{u2} (E x) (_inst_7 x))) e b)
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] (b : B), Eq.{max (succ u3) (succ u2)} (forall (ᾰ : F), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => E b) ᾰ) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => E b) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R F (E b) _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.symmₗ.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b)) (Trivialization.symm.{u4, u3, u2} B F E _inst_3 _inst_2 _inst_4 (fun (x : B) => AddMonoid.toZero.{u2} (E x) (AddCommMonoid.toAddMonoid.{u2} (E x) (_inst_7 x))) e b)
 Case conversion may be inaccurate. Consider using '#align trivialization.coe_symmₗ Trivialization.coe_symmₗₓ'. -/
 theorem coe_symmₗ (e : Trivialization F (π E)) [e.isLinear R] (b : B) : ⇑(e.symmₗ R b) = e.symm b :=
   rfl
@@ -343,7 +343,7 @@ variable {R}
 lean 3 declaration is
   forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] (b : B), Eq.{max (succ u4) (succ u3)} ((E b) -> F) (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (fun (_x : LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) => (E b) -> F) (LinearMap.hasCoeToFun.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b)) (fun (y : E b) => ite.{succ u3} F (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Classical.propDecidable (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e))) (Prod.snd.{u2, u3} B F (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Trivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) _inst_4) e (Bundle.totalSpaceMk.{u2, u4} B E b y))) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)))))))
 but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] (b : B), Eq.{max (succ u3) (succ u2)} (forall (ᾰ : E b), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) ᾰ) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b)) (fun (y : E b) => ite.{succ u3} F (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Classical.propDecidable (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e))) (Prod.snd.{u4, u3} B F (Trivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) _inst_4 e (Bundle.totalSpaceMk.{u4, u2} B E b y))) (OfNat.ofNat.{u3} F 0 (Zero.toOfNat0.{u3} F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)))))
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] (b : B), Eq.{max (succ u3) (succ u2)} (forall (ᾰ : E b), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) ᾰ) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b)) (fun (y : E b) => ite.{succ u3} F (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Classical.propDecidable (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e))) (Prod.snd.{u4, u3} B F (Trivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) _inst_4 e (Bundle.totalSpaceMk.{u4, u2} B E b y))) (OfNat.ofNat.{u3} F 0 (Zero.toOfNat0.{u3} F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)))))
 Case conversion may be inaccurate. Consider using '#align trivialization.coe_linear_map_at Trivialization.coe_linearMapAtₓ'. -/
 theorem coe_linearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) :
     ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 :=
@@ -354,7 +354,7 @@ theorem coe_linearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) :
 lean 3 declaration is
   forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) -> (Eq.{max (succ u4) (succ u3)} ((E b) -> F) (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (fun (_x : LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) => (E b) -> F) (LinearMap.hasCoeToFun.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b)) (fun (y : E b) => Prod.snd.{u2, u3} B F (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Trivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) _inst_4) e (Bundle.totalSpaceMk.{u2, u4} B E b y))))
 but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) -> (Eq.{max (succ u3) (succ u2)} (forall (ᾰ : E b), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) ᾰ) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b)) (fun (y : E b) => Prod.snd.{u4, u3} B F (Trivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) _inst_4 e (Bundle.totalSpaceMk.{u4, u2} B E b y))))
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) -> (Eq.{max (succ u3) (succ u2)} (forall (ᾰ : E b), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) ᾰ) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b)) (fun (y : E b) => Prod.snd.{u4, u3} B F (Trivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) _inst_4 e (Bundle.totalSpaceMk.{u4, u2} B E b y))))
 Case conversion may be inaccurate. Consider using '#align trivialization.coe_linear_map_at_of_mem Trivialization.coe_linearMapAt_of_memₓ'. -/
 theorem coe_linearMapAt_of_mem (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e (totalSpaceMk b y)).2 := by
@@ -365,7 +365,7 @@ theorem coe_linearMapAt_of_mem (e : Trivialization F (π E)) [e.isLinear R] {b :
 lean 3 declaration is
   forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] {b : B} (y : E b), Eq.{succ u3} F (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (fun (_x : LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) => (E b) -> F) (LinearMap.hasCoeToFun.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) y) (ite.{succ u3} F (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Classical.propDecidable (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e))) (Prod.snd.{u2, u3} B F (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Trivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) _inst_4) e (Bundle.totalSpaceMk.{u2, u4} B E b y))) (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)))))))
 but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] {b : B} (y : E b), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) y) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) y) (ite.{succ u3} F (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Classical.propDecidable (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e))) (Prod.snd.{u4, u3} B F (Trivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) _inst_4 e (Bundle.totalSpaceMk.{u4, u2} B E b y))) (OfNat.ofNat.{u3} F 0 (Zero.toOfNat0.{u3} F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)))))
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] {b : B} (y : E b), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) y) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) y) (ite.{succ u3} F (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Classical.propDecidable (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e))) (Prod.snd.{u4, u3} B F (Trivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) _inst_4 e (Bundle.totalSpaceMk.{u4, u2} B E b y))) (OfNat.ofNat.{u3} F 0 (Zero.toOfNat0.{u3} F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)))))
 Case conversion may be inaccurate. Consider using '#align trivialization.linear_map_at_apply Trivialization.linearMapAt_applyₓ'. -/
 theorem linearMapAt_apply (e : Trivialization F (π E)) [e.isLinear R] {b : B} (y : E b) :
     e.linearMapAt R b y = if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
@@ -398,7 +398,7 @@ theorem linearMapAt_def_of_not_mem (e : Trivialization F (π E)) [e.isLinear R]
 lean 3 declaration is
   forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) -> (forall (y : E b), Eq.{succ u4} (E b) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) (fun (_x : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) => F -> (E b)) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R F (E b) _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.symmₗ.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (fun (_x : LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) => (E b) -> F) (LinearMap.hasCoeToFun.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) y)) y)
 but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) -> (forall (y : E b), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => E b) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (E b) (fun (a : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) y)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => E b) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R F (E b) _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.symmₗ.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) y)) y)
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) -> (forall (y : E b), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => E b) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (E b) (fun (a : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) y)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => E b) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R F (E b) _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.symmₗ.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) y)) y)
 Case conversion may be inaccurate. Consider using '#align trivialization.symmₗ_linear_map_at Trivialization.symmₗ_linearMapAtₓ'. -/
 theorem symmₗ_linearMapAt (e : Trivialization F (π E)) [e.isLinear R] {b : B} (hb : b ∈ e.baseSet)
     (y : E b) : e.symmₗ R b (e.linearMapAt R b y) = y :=
@@ -409,7 +409,7 @@ theorem symmₗ_linearMapAt (e : Trivialization F (π E)) [e.isLinear R] {b : B}
 lean 3 declaration is
   forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) -> (forall (y : F), Eq.{succ u3} F (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (fun (_x : LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) => (E b) -> F) (LinearMap.hasCoeToFun.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) (fun (_x : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) => F -> (E b)) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R F (E b) _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.symmₗ.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) y)) y)
 but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) -> (forall (y : F), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) F (fun (a : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => E b) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R F (E b) _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.symmₗ.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) y)) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => E b) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R F (E b) _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.symmₗ.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) y)) y)
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) -> (forall (y : F), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) F (fun (a : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => E b) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R F (E b) _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.symmₗ.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) y)) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => E b) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R F (E b) _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.symmₗ.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b) y)) y)
 Case conversion may be inaccurate. Consider using '#align trivialization.linear_map_at_symmₗ Trivialization.linearMapAt_symmₗₓ'. -/
 theorem linearMapAt_symmₗ (e : Trivialization F (π E)) [e.isLinear R] {b : B} (hb : b ∈ e.baseSet)
     (y : F) : e.linearMapAt R b (e.symmₗ R b y) = y :=
@@ -458,7 +458,7 @@ variable {R}
 lean 3 declaration is
   forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (e' : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e'] {b : B} (hb : Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e'))), Eq.{succ u3} (F -> F) (coeFn.{succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) (fun (_x : ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) => F -> F) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) (Trivialization.coordChangeL.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b)) (coeFn.{succ u3, succ u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) (fun (_x : LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) => F -> F) (LinearEquiv.hasCoeToFun.{u1, u1, u3, u3} R R F F _inst_1 _inst_1 _inst_5 _inst_5 _inst_6 _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)) (LinearEquiv.trans.{u1, u1, u1, u3, u4, u3} R R R F (E b) F _inst_1 _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_5 _inst_6 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomCompTriple.right_ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomCompTriple.right_ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.symm.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (Trivialization.linearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b (And.left (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e')) hb))) (Trivialization.linearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e' _inst_10 b (And.right (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e')) hb))))
 but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) (e' : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e'] {b : B} (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Inter.inter.{u4} (Set.{u4} B) (Set.instInterSet.{u4} B) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e'))), Eq.{succ u3} (forall (ᾰ : F), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) ᾰ) (FunLike.coe.{succ u3, succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) _x) (ContinuousMapClass.toFunLike.{u3, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) F F _inst_2 _inst_2 (ContinuousSemilinearMapClass.toContinuousMapClass.{u3, u1, u1, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{u3, u1, u1, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6)))) (Trivialization.coordChangeL.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b)) (FunLike.coe.{succ u3, succ u3, succ u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : F) => F) _x) (SMulHomClass.toFunLike.{u3, u1, u3, u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) R F F (SMulZeroClass.toSMul.{u1, u3} R F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribSMul.toSMulZeroClass.{u1, u3} R F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribMulAction.toDistribSMul.{u1, u3} R F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6)))) (SMulZeroClass.toSMul.{u1, u3} R F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribSMul.toSMulZeroClass.{u1, u3} R F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribMulAction.toDistribSMul.{u1, u3} R F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6)))) (DistribMulActionHomClass.toSMulHomClass.{u3, u1, u3, u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) R F F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6) (SemilinearMapClass.distribMulActionHomClass.{u1, u3, u3, u3} R F F (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) _inst_1 _inst_5 _inst_5 _inst_6 _inst_6 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u3, u3, u3} R R F F (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) _inst_1 _inst_1 _inst_5 _inst_5 _inst_6 _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u3, u3} R R F F _inst_1 _inst_1 _inst_5 _inst_5 _inst_6 _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)))))) (LinearEquiv.trans.{u1, u1, u1, u3, u2, u3} R R R F (E b) F _inst_1 _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_5 _inst_6 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomCompTriple.ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomCompTriple.ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.symm.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (Trivialization.linearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b (And.left (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e')) hb))) (Trivialization.linearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e' _inst_10 b (And.right (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e')) hb))))
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) (e' : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e'] {b : B} (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Inter.inter.{u4} (Set.{u4} B) (Set.instInterSet.{u4} B) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e'))), Eq.{succ u3} (forall (ᾰ : F), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) ᾰ) (FunLike.coe.{succ u3, succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) _x) (ContinuousMapClass.toFunLike.{u3, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) F F _inst_2 _inst_2 (ContinuousSemilinearMapClass.toContinuousMapClass.{u3, u1, u1, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{u3, u1, u1, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6)))) (Trivialization.coordChangeL.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b)) (FunLike.coe.{succ u3, succ u3, succ u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : F) => F) _x) (SMulHomClass.toFunLike.{u3, u1, u3, u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) R F F (SMulZeroClass.toSMul.{u1, u3} R F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribSMul.toSMulZeroClass.{u1, u3} R F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribMulAction.toDistribSMul.{u1, u3} R F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6)))) (SMulZeroClass.toSMul.{u1, u3} R F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribSMul.toSMulZeroClass.{u1, u3} R F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribMulAction.toDistribSMul.{u1, u3} R F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6)))) (DistribMulActionHomClass.toSMulHomClass.{u3, u1, u3, u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) R F F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6) (SemilinearMapClass.distribMulActionHomClass.{u1, u3, u3, u3} R F F (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) _inst_1 _inst_5 _inst_5 _inst_6 _inst_6 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u3, u3, u3} R R F F (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) _inst_1 _inst_1 _inst_5 _inst_5 _inst_6 _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u3, u3} R R F F _inst_1 _inst_1 _inst_5 _inst_5 _inst_6 _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)))))) (LinearEquiv.trans.{u1, u1, u1, u3, u2, u3} R R R F (E b) F _inst_1 _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_5 _inst_6 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomCompTriple.ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomCompTriple.ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.symm.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (Trivialization.linearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b (And.left (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e')) hb))) (Trivialization.linearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e' _inst_10 b (And.right (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e')) hb))))
 Case conversion may be inaccurate. Consider using '#align trivialization.coe_coord_changeL Trivialization.coe_coordChangeLₓ'. -/
 theorem coe_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) :
@@ -552,7 +552,7 @@ theorem coordChangeL_apply' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.
 lean 3 declaration is
   forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (e' : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e'] {b : B} (hb : Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e'))), Eq.{succ u3} (F -> F) (coeFn.{succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) (fun (_x : ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) => F -> F) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) (ContinuousLinearEquiv.symm.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (Trivialization.coordChangeL.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b))) (coeFn.{succ u3, succ u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) (fun (_x : LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) => F -> F) (LinearEquiv.hasCoeToFun.{u1, u1, u3, u3} R R F F _inst_1 _inst_1 _inst_5 _inst_5 _inst_6 _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)) (LinearEquiv.trans.{u1, u1, u1, u3, u4, u3} R R R F (E b) F _inst_1 _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_5 _inst_6 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomCompTriple.right_ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomCompTriple.right_ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.symm.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (Trivialization.linearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e' _inst_10 b (And.right (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e')) hb))) (Trivialization.linearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b (And.left (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e')) hb))))
 but is expected to have type
-  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) (e' : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e'] {b : B} (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Inter.inter.{u4} (Set.{u4} B) (Set.instInterSet.{u4} B) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e'))), Eq.{succ u3} (forall (ᾰ : F), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) ᾰ) (FunLike.coe.{succ u3, succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) _x) (ContinuousMapClass.toFunLike.{u3, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) F F _inst_2 _inst_2 (ContinuousSemilinearMapClass.toContinuousMapClass.{u3, u1, u1, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{u3, u1, u1, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6)))) (ContinuousLinearEquiv.symm.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (Trivialization.coordChangeL.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b))) (FunLike.coe.{succ u3, succ u3, succ u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : F) => F) _x) (SMulHomClass.toFunLike.{u3, u1, u3, u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) R F F (SMulZeroClass.toSMul.{u1, u3} R F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribSMul.toSMulZeroClass.{u1, u3} R F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribMulAction.toDistribSMul.{u1, u3} R F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6)))) (SMulZeroClass.toSMul.{u1, u3} R F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribSMul.toSMulZeroClass.{u1, u3} R F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribMulAction.toDistribSMul.{u1, u3} R F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6)))) (DistribMulActionHomClass.toSMulHomClass.{u3, u1, u3, u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) R F F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6) (SemilinearMapClass.distribMulActionHomClass.{u1, u3, u3, u3} R F F (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) _inst_1 _inst_5 _inst_5 _inst_6 _inst_6 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u3, u3, u3} R R F F (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) _inst_1 _inst_1 _inst_5 _inst_5 _inst_6 _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u3, u3} R R F F _inst_1 _inst_1 _inst_5 _inst_5 _inst_6 _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)))))) (LinearEquiv.trans.{u1, u1, u1, u3, u2, u3} R R R F (E b) F _inst_1 _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_5 _inst_6 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomCompTriple.ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomCompTriple.ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.symm.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (Trivialization.linearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e' _inst_10 b (And.right (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e')) hb))) (Trivialization.linearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b (And.left (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e')) hb))))
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) (e' : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e'] {b : B} (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Inter.inter.{u4} (Set.{u4} B) (Set.instInterSet.{u4} B) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e'))), Eq.{succ u3} (forall (ᾰ : F), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) ᾰ) (FunLike.coe.{succ u3, succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) _x) (ContinuousMapClass.toFunLike.{u3, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) F F _inst_2 _inst_2 (ContinuousSemilinearMapClass.toContinuousMapClass.{u3, u1, u1, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{u3, u1, u1, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6)))) (ContinuousLinearEquiv.symm.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (Trivialization.coordChangeL.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b))) (FunLike.coe.{succ u3, succ u3, succ u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : F) => F) _x) (SMulHomClass.toFunLike.{u3, u1, u3, u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) R F F (SMulZeroClass.toSMul.{u1, u3} R F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribSMul.toSMulZeroClass.{u1, u3} R F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribMulAction.toDistribSMul.{u1, u3} R F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6)))) (SMulZeroClass.toSMul.{u1, u3} R F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribSMul.toSMulZeroClass.{u1, u3} R F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribMulAction.toDistribSMul.{u1, u3} R F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6)))) (DistribMulActionHomClass.toSMulHomClass.{u3, u1, u3, u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) R F F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6) (SemilinearMapClass.distribMulActionHomClass.{u1, u3, u3, u3} R F F (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)))))) (LinearEquiv.trans.{u1, u1, u1, u3, u2, u3} R R R F (E b) F _inst_1 _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_5 _inst_6 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomCompTriple.ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomCompTriple.ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.symm.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (Trivialization.linearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e' _inst_10 b (And.right (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e')) hb))) (Trivialization.linearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b (And.left (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e')) hb))))
 Case conversion may be inaccurate. Consider using '#align trivialization.coord_changeL_symm_apply Trivialization.coordChangeL_symm_applyₓ'. -/
 theorem coordChangeL_symm_apply (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R]
     {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) :

bump to nightly-2023-05-24-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/8d33f09cd7089ecf074b4791907588245aec5d1b

2c55cf2c

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri, Sebastien Gouezel, Heather Macbeth, Patrick Massot, Floris van Doorn
 
 ! This file was ported from Lean 3 source module topology.vector_bundle.basic
-! leanprover-community/mathlib commit d2d964c64f8ddcccd6704a731c41f95d13e72f5c
+! leanprover-community/mathlib commit 38df578a6450a8c5142b3727e3ae894c2300cae0
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Topology.FiberBundle.Basic
 /-!
 # Vector bundles
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we define (topological) vector bundles.
 
 Let `B` be the base space, let `F` be a normed space over a normed field `R`, and let

bump to nightly-2023-05-23-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828

ed98987c

Diff

@@ -70,17 +70,25 @@ section TopologicalVectorSpace
 
 variable {B F E} [Semiring R] [TopologicalSpace F] [TopologicalSpace B]
 
+#print Pretrivialization.IsLinear /-
 /-- A mixin class for `pretrivialization`, stating that a pretrivialization is fiberwise linear with
 respect to given module structures on its fibers and the model fiber. -/
 protected class Pretrivialization.IsLinear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
   [∀ x, Module R (E x)] (e : Pretrivialization F (π E)) : Prop where
   linear : ∀ b ∈ e.baseSet, IsLinearMap R fun x : E b => (e (totalSpaceMk b x)).2
 #align pretrivialization.is_linear Pretrivialization.IsLinear
+-/
 
 namespace Pretrivialization
 
 variable {F E} (e : Pretrivialization F (π E)) {x : TotalSpace E} {b : B} {y : E b}
 
+/- warning: pretrivialization.linear -> Pretrivialization.linear is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] (e : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_7 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_6 x)] [_inst_8 : Pretrivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) -> (IsLinearMap.{u1, u4, u3} R (E b) F _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (fun (x : E b) => Prod.snd.{u2, u3} B F (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Pretrivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) e (Bundle.totalSpaceMk.{u2, u4} B E b x))))
+but is expected to have type
+  forall (R : Type.{u3}) {B : Type.{u1}} {F : Type.{u4}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u3} R] [_inst_2 : TopologicalSpace.{u4} F] [_inst_3 : TopologicalSpace.{u1} B] (e : Pretrivialization.{u1, u4, max u1 u2} B F (Bundle.TotalSpace.{u1, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u1, u2} B E)) [_inst_4 : AddCommMonoid.{u4} F] [_inst_5 : Module.{u3, u4} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_7 : forall (x : B), Module.{u3, u2} R (E x) _inst_1 (_inst_6 x)] [_inst_8 : Pretrivialization.IsLinear.{u3, u1, u4, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B}, (Membership.mem.{u1, u1} B (Set.{u1} B) (Set.instMembershipSet.{u1} B) b (Pretrivialization.baseSet.{u1, u4, max u1 u2} B F (Bundle.TotalSpace.{u1, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u1, u2} B E) e)) -> (IsLinearMap.{u3, u2, u4} R (E b) F _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (fun (x : E b) => Prod.snd.{u1, u4} B F (Pretrivialization.toFun'.{u1, u4, max u1 u2} B F (Bundle.TotalSpace.{u1, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u1, u2} B E) e (Bundle.totalSpaceMk.{u1, u2} B E b x))))
+Case conversion may be inaccurate. Consider using '#align pretrivialization.linear Pretrivialization.linearₓ'. -/
 theorem linear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)] [∀ x, Module R (E x)]
     [e.isLinear R] {b : B} (hb : b ∈ e.baseSet) :
     IsLinearMap R fun x : E b => (e (totalSpaceMk b x)).2 :=
@@ -89,6 +97,7 @@ theorem linear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)] [∀
 
 variable [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)] [∀ x, Module R (E x)]
 
+#print Pretrivialization.symmₗ /-
 /-- A fiberwise linear inverse to `e`. -/
 @[simps]
 protected def symmₗ (e : Pretrivialization F (π E)) [e.isLinear R] (b : B) : F →ₗ[R] E b :=
@@ -102,7 +111,9 @@ protected def symmₗ (e : Pretrivialization F (π E)) [e.isLinear R] (b : B) :
   · rw [e.coe_symm_of_not_mem hb]
     exact (0 : F →ₗ[R] E b).isLinear
 #align pretrivialization.symmₗ Pretrivialization.symmₗ
+-/
 
+#print Pretrivialization.linearEquivAt /-
 /-- A pretrivialization for a vector bundle defines linear equivalences between the
 fibers and the model space. -/
 @[simps (config := { fullyApplied := false })]
@@ -115,14 +126,23 @@ def linearEquivAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B) (hb :
   map_add' v w := (e.linear R hb).map_add v w
   map_smul' c v := (e.linear R hb).map_smul c v
 #align pretrivialization.linear_equiv_at Pretrivialization.linearEquivAt
+-/
 
+#print Pretrivialization.linearMapAt /-
 /-- A fiberwise linear map equal to `e` on `e.base_set`. -/
 protected def linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B) : E b →ₗ[R] F :=
   if hb : b ∈ e.baseSet then e.linearEquivAt R b hb else 0
 #align pretrivialization.linear_map_at Pretrivialization.linearMapAt
+-/
 
 variable {R}
 
+/- warning: pretrivialization.coe_linear_map_at -> Pretrivialization.coe_linearMapAt is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align pretrivialization.coe_linear_map_at Pretrivialization.coe_linearMapAtₓ'. -/
 theorem coe_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B) :
     ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 :=
   by
@@ -130,31 +150,67 @@ theorem coe_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] (b : B)
   split_ifs <;> rfl
 #align pretrivialization.coe_linear_map_at Pretrivialization.coe_linearMapAt
 
+/- warning: pretrivialization.coe_linear_map_at_of_mem -> Pretrivialization.coe_linearMapAt_of_mem is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align pretrivialization.coe_linear_map_at_of_mem Pretrivialization.coe_linearMapAt_of_memₓ'. -/
 theorem coe_linearMapAt_of_mem (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e (totalSpaceMk b y)).2 := by
   simp_rw [coe_linear_map_at, if_pos hb]
 #align pretrivialization.coe_linear_map_at_of_mem Pretrivialization.coe_linearMapAt_of_mem
 
+/- warning: pretrivialization.linear_map_at_apply -> Pretrivialization.linearMapAt_apply is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_apply Pretrivialization.linearMapAt_applyₓ'. -/
 theorem linearMapAt_apply (e : Pretrivialization F (π E)) [e.isLinear R] {b : B} (y : E b) :
     e.linearMapAt R b y = if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
   rw [coe_linear_map_at]
 #align pretrivialization.linear_map_at_apply Pretrivialization.linearMapAt_apply
 
+/- warning: pretrivialization.linear_map_at_def_of_mem -> Pretrivialization.linearMapAt_def_of_mem is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_def_of_mem Pretrivialization.linearMapAt_def_of_memₓ'. -/
 theorem linearMapAt_def_of_mem (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : e.linearMapAt R b = e.linearEquivAt R b hb :=
   dif_pos hb
 #align pretrivialization.linear_map_at_def_of_mem Pretrivialization.linearMapAt_def_of_mem
 
+/- warning: pretrivialization.linear_map_at_def_of_not_mem -> Pretrivialization.linearMapAt_def_of_not_mem is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_def_of_not_mem Pretrivialization.linearMapAt_def_of_not_memₓ'. -/
 theorem linearMapAt_def_of_not_mem (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
   dif_neg hb
 #align pretrivialization.linear_map_at_def_of_not_mem Pretrivialization.linearMapAt_def_of_not_mem
 
+/- warning: pretrivialization.linear_map_at_eq_zero -> Pretrivialization.linearMapAt_eq_zero is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_7 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B}, (Not (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Pretrivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e))) -> (Eq.{max (succ u3) (succ u2)} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (Pretrivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) (OfNat.ofNat.{max u3 u2} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) 0 (Zero.toOfNat0.{max u3 u2} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (LinearMap.instZeroLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))
+Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_eq_zero Pretrivialization.linearMapAt_eq_zeroₓ'. -/
 theorem linearMapAt_eq_zero (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
   dif_neg hb
 #align pretrivialization.linear_map_at_eq_zero Pretrivialization.linearMapAt_eq_zero
 
+/- warning: pretrivialization.symmₗ_linear_map_at -> Pretrivialization.symmₗ_linearMapAt is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_7 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Pretrivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) -> (forall (y : E b), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => E b) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (E b) (fun (a : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) y)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_4 (_inst_6 b) _inst_5 (_inst_7 b)) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => E b) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R F (E b) _inst_1 _inst_1 _inst_4 (_inst_6 b) _inst_5 (_inst_7 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.symmₗ.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E b) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) y)) y)
+Case conversion may be inaccurate. Consider using '#align pretrivialization.symmₗ_linear_map_at Pretrivialization.symmₗ_linearMapAtₓ'. -/
 theorem symmₗ_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : E b) : e.symmₗ R b (e.linearMapAt R b y) = y :=
   by
@@ -162,6 +218,12 @@ theorem symmₗ_linearMapAt (e : Pretrivialization F (π E)) [e.isLinear R] {b :
   exact (e.linear_equiv_at R b hb).left_inv y
 #align pretrivialization.symmₗ_linear_map_at Pretrivialization.symmₗ_linearMapAt
 
+/- warning: pretrivialization.linear_map_at_symmₗ -> Pretrivialization.linearMapAt_symmₗ is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : AddCommMonoid.{u3} F] [_inst_5 : Module.{u1, u3} R F _inst_1 _inst_4] [_inst_6 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_7 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_6 x)] (e : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_8 : Pretrivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) -> (forall (y : F), Eq.{succ u3} F (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) (fun (_x : LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_6 b) _inst_4 (_inst_7 b) _inst_5) => (E b) -> F) (LinearMap.hasCoeToFun.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_6 b) _inst_4 (_inst_7 b) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.linearMapAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_4 (_inst_6 b) _inst_5 (_inst_7 b)) (fun (_x : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_4 (_inst_6 b) _inst_5 (_inst_7 b)) => F -> (E b)) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R F (E b) _inst_1 _inst_1 _inst_4 (_inst_6 b) _inst_5 (_inst_7 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Pretrivialization.symmₗ.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (fun (x : B) => _inst_6 x) (fun (x : B) => _inst_7 x) e _inst_8 b) y)) y)
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align pretrivialization.linear_map_at_symmₗ Pretrivialization.linearMapAt_symmₗₓ'. -/
 theorem linearMapAt_symmₗ (e : Pretrivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : F) : e.linearMapAt R b (e.symmₗ R b y) = y :=
   by
@@ -173,45 +235,69 @@ end Pretrivialization
 
 variable (R) [TopologicalSpace (TotalSpace E)]
 
+#print Trivialization.IsLinear /-
 /-- A mixin class for `trivialization`, stating that a trivialization is fiberwise linear with
 respect to given module structures on its fibers and the model fiber. -/
 protected class Trivialization.IsLinear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
   [∀ x, Module R (E x)] (e : Trivialization F (π E)) : Prop where
   linear : ∀ b ∈ e.baseSet, IsLinearMap R fun x : E b => (e (totalSpaceMk b x)).2
 #align trivialization.is_linear Trivialization.IsLinear
+-/
 
 namespace Trivialization
 
 variable (e : Trivialization F (π E)) {x : TotalSpace E} {b : B} {y : E b}
 
+/- warning: trivialization.linear -> Trivialization.linear is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) -> (IsLinearMap.{u1, u4, u3} R (E b) F _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (fun (y : E b) => Prod.snd.{u2, u3} B F (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Trivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) _inst_4) e (Bundle.totalSpaceMk.{u2, u4} B E b y))))
+but is expected to have type
+  forall (R : Type.{u3}) {B : Type.{u1}} {F : Type.{u4}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u3} R] [_inst_2 : TopologicalSpace.{u4} F] [_inst_3 : TopologicalSpace.{u1} B] [_inst_4 : TopologicalSpace.{max u2 u1} (Bundle.TotalSpace.{u1, u2} B E)] (e : Trivialization.{u1, u4, max u1 u2} B F (Bundle.TotalSpace.{u1, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u1, u2} B E)) [_inst_5 : AddCommMonoid.{u4} F] [_inst_6 : Module.{u3, u4} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u3, u2} R (E x) _inst_1 (_inst_7 x)] [_inst_9 : Trivialization.IsLinear.{u3, u1, u4, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] {b : B}, (Membership.mem.{u1, u1} B (Set.{u1} B) (Set.instMembershipSet.{u1} B) b (Trivialization.baseSet.{u1, u4, max u1 u2} B F (Bundle.TotalSpace.{u1, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u1, u2} B E) e)) -> (IsLinearMap.{u3, u2, u4} R (E b) F _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (fun (y : E b) => Prod.snd.{u1, u4} B F (Trivialization.toFun'.{u1, u4, max u1 u2} B F (Bundle.TotalSpace.{u1, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u1, u2} B E) _inst_4 e (Bundle.totalSpaceMk.{u1, u2} B E b y))))
+Case conversion may be inaccurate. Consider using '#align trivialization.linear Trivialization.linearₓ'. -/
 protected theorem linear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
     [∀ x, Module R (E x)] [e.isLinear R] {b : B} (hb : b ∈ e.baseSet) :
     IsLinearMap R fun y : E b => (e (totalSpaceMk b y)).2 :=
   Trivialization.IsLinear.linear b hb
 #align trivialization.linear Trivialization.linear
 
+#print Trivialization.toPretrivialization.isLinear /-
 instance toPretrivialization.isLinear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
     [∀ x, Module R (E x)] [e.isLinear R] : e.toPretrivialization.isLinear R :=
   { (‹_› : e.isLinear R) with }
 #align trivialization.to_pretrivialization.is_linear Trivialization.toPretrivialization.isLinear
+-/
 
 variable [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)] [∀ x, Module R (E x)]
 
+#print Trivialization.linearEquivAt /-
 /-- A trivialization for a vector bundle defines linear equivalences between the
 fibers and the model space. -/
 def linearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) (hb : b ∈ e.baseSet) :
     E b ≃ₗ[R] F :=
   e.toPretrivialization.linearEquivAt R b hb
 #align trivialization.linear_equiv_at Trivialization.linearEquivAt
+-/
 
 variable {R}
 
+/- warning: trivialization.linear_equiv_at_apply -> Trivialization.linearEquivAt_apply is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align trivialization.linear_equiv_at_apply Trivialization.linearEquivAt_applyₓ'. -/
 @[simp]
 theorem linearEquivAt_apply (e : Trivialization F (π E)) [e.isLinear R] (b : B) (hb : b ∈ e.baseSet)
     (v : E b) : e.linearEquivAt R b hb v = (e (totalSpaceMk b v)).2 :=
   rfl
 #align trivialization.linear_equiv_at_apply Trivialization.linearEquivAt_apply
 
+/- warning: trivialization.linear_equiv_at_symm_apply -> Trivialization.linearEquivAt_symm_apply is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align trivialization.linear_equiv_at_symm_apply Trivialization.linearEquivAt_symm_applyₓ'. -/
 @[simp]
 theorem linearEquivAt_symm_apply (e : Trivialization F (π E)) [e.isLinear R] (b : B)
     (hb : b ∈ e.baseSet) (v : F) : (e.linearEquivAt R b hb).symm v = e.symm b v :=
@@ -220,56 +306,108 @@ theorem linearEquivAt_symm_apply (e : Trivialization F (π E)) [e.isLinear R] (b
 
 variable (R)
 
+#print Trivialization.symmₗ /-
 /-- A fiberwise linear inverse to `e`. -/
 protected def symmₗ (e : Trivialization F (π E)) [e.isLinear R] (b : B) : F →ₗ[R] E b :=
   e.toPretrivialization.symmₗ R b
 #align trivialization.symmₗ Trivialization.symmₗ
+-/
 
 variable {R}
 
+/- warning: trivialization.coe_symmₗ -> Trivialization.coe_symmₗ is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] (b : B), Eq.{max (succ u3) (succ u4)} (F -> (E b)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) (fun (_x : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F (E b) _inst_5 (_inst_7 b) _inst_6 (_inst_8 b)) => F -> (E b)) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R F (E b) _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_6 (_inst_8 b) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.symmₗ.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b)) (Trivialization.symm.{u2, u3, u4} B F E _inst_3 _inst_2 _inst_4 (fun (x : B) => AddZeroClass.toHasZero.{u4} (E x) (AddMonoid.toAddZeroClass.{u4} (E x) (AddCommMonoid.toAddMonoid.{u4} (E x) (_inst_7 x)))) e b)
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 theorem coe_symmₗ (e : Trivialization F (π E)) [e.isLinear R] (b : B) : ⇑(e.symmₗ R b) = e.symm b :=
   rfl
 #align trivialization.coe_symmₗ Trivialization.coe_symmₗ
 
 variable (R)
 
+#print Trivialization.linearMapAt /-
 /-- A fiberwise linear map equal to `e` on `e.base_set`. -/
 protected def linearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) : E b →ₗ[R] F :=
   e.toPretrivialization.linearMapAt R b
 #align trivialization.linear_map_at Trivialization.linearMapAt
+-/
 
 variable {R}
 
+/- warning: trivialization.coe_linear_map_at -> Trivialization.coe_linearMapAt is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align trivialization.coe_linear_map_at Trivialization.coe_linearMapAtₓ'. -/
 theorem coe_linearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) :
     ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 :=
   e.toPretrivialization.coe_linearMapAt b
 #align trivialization.coe_linear_map_at Trivialization.coe_linearMapAt
 
+/- warning: trivialization.coe_linear_map_at_of_mem -> Trivialization.coe_linearMapAt_of_mem is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) -> (Eq.{max (succ u4) (succ u3)} ((E b) -> F) (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) (fun (_x : LinearMap.{u1, u1, u4, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (E b) F (_inst_7 b) _inst_5 (_inst_8 b) _inst_6) => (E b) -> F) (LinearMap.hasCoeToFun.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Trivialization.linearMapAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b)) (fun (y : E b) => Prod.snd.{u2, u3} B F (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Trivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) _inst_4) e (Bundle.totalSpaceMk.{u2, u4} B E b y))))
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+Case conversion may be inaccurate. Consider using '#align trivialization.coe_linear_map_at_of_mem Trivialization.coe_linearMapAt_of_memₓ'. -/
 theorem coe_linearMapAt_of_mem (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e (totalSpaceMk b y)).2 := by
   simp_rw [coe_linear_map_at, if_pos hb]
 #align trivialization.coe_linear_map_at_of_mem Trivialization.coe_linearMapAt_of_mem
 
+/- warning: trivialization.linear_map_at_apply -> Trivialization.linearMapAt_apply is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align trivialization.linear_map_at_apply Trivialization.linearMapAt_applyₓ'. -/
 theorem linearMapAt_apply (e : Trivialization F (π E)) [e.isLinear R] {b : B} (y : E b) :
     e.linearMapAt R b y = if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
   rw [coe_linear_map_at]
 #align trivialization.linear_map_at_apply Trivialization.linearMapAt_apply
 
+/- warning: trivialization.linear_map_at_def_of_mem -> Trivialization.linearMapAt_def_of_mem is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align trivialization.linear_map_at_def_of_mem Trivialization.linearMapAt_def_of_memₓ'. -/
 theorem linearMapAt_def_of_mem (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : e.linearMapAt R b = e.linearEquivAt R b hb :=
   dif_pos hb
 #align trivialization.linear_map_at_def_of_mem Trivialization.linearMapAt_def_of_mem
 
+/- warning: trivialization.linear_map_at_def_of_not_mem -> Trivialization.linearMapAt_def_of_not_mem is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align trivialization.linear_map_at_def_of_not_mem Trivialization.linearMapAt_def_of_not_memₓ'. -/
 theorem linearMapAt_def_of_not_mem (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
   dif_neg hb
 #align trivialization.linear_map_at_def_of_not_mem Trivialization.linearMapAt_def_of_not_mem
 
+/- warning: trivialization.symmₗ_linear_map_at -> Trivialization.symmₗ_linearMapAt is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align trivialization.symmₗ_linear_map_at Trivialization.symmₗ_linearMapAtₓ'. -/
 theorem symmₗ_linearMapAt (e : Trivialization F (π E)) [e.isLinear R] {b : B} (hb : b ∈ e.baseSet)
     (y : E b) : e.symmₗ R b (e.linearMapAt R b y) = y :=
   e.toPretrivialization.symmₗ_linearMapAt hb y
 #align trivialization.symmₗ_linear_map_at Trivialization.symmₗ_linearMapAt
 
+/- warning: trivialization.linear_map_at_symmₗ -> Trivialization.linearMapAt_symmₗ is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align trivialization.linear_map_at_symmₗ Trivialization.linearMapAt_symmₗₓ'. -/
 theorem linearMapAt_symmₗ (e : Trivialization F (π E)) [e.isLinear R] {b : B} (hb : b ∈ e.baseSet)
     (y : F) : e.linearMapAt R b (e.symmₗ R b y) = y :=
   e.toPretrivialization.linearMapAt_symmₗ hb y
@@ -277,6 +415,7 @@ theorem linearMapAt_symmₗ (e : Trivialization F (π E)) [e.isLinear R] {b : B}
 
 variable (R)
 
+#print Trivialization.coordChangeL /-
 /-- A coordinate change function between two trivializations, as a continuous linear equivalence.
   Defined to be the identity when `b` does not lie in the base set of both trivializations. -/
 def coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] (b : B) :
@@ -308,22 +447,41 @@ def coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R]
       · rw [dif_neg hb]
         exact continuous_id }
 #align trivialization.coord_changeL Trivialization.coordChangeL
+-/
 
 variable {R}
 
+/- warning: trivialization.coe_coord_changeL -> Trivialization.coe_coordChangeL is a dubious translation:
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(Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomCompTriple.right_ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomCompTriple.right_ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.symm.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (Trivialization.linearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e _inst_9 b (And.left (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e')) hb))) (Trivialization.linearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e' _inst_10 b (And.right (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e')) hb))))
+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) (e' : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 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_inst_6 _inst_6)))) (Trivialization.coordChangeL.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b)) (FunLike.coe.{succ u3, succ u3, succ u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : F) => F) _x) (SMulHomClass.toFunLike.{u3, u1, u3, u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) R F F (SMulZeroClass.toSMul.{u1, u3} R F 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_inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomCompTriple.ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomCompTriple.ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.symm.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R 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+Case conversion may be inaccurate. Consider using '#align trivialization.coe_coord_changeL Trivialization.coe_coordChangeLₓ'. -/
 theorem coe_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     ⇑(coordChangeL R e e' b) = (e.linearEquivAt R b hb.1).symm.trans (e'.linearEquivAt R b hb.2) :=
   congr_arg LinearEquiv.toFun (dif_pos hb)
 #align trivialization.coe_coord_changeL Trivialization.coe_coordChangeL
 
-theorem coe_coord_changeL' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
+/- warning: trivialization.coe_coord_changeL' -> Trivialization.coe_coordChangeL' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (e' : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e'] {b : B} (hb : Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e'))), Eq.{succ u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) (ContinuousLinearEquiv.toLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (Trivialization.coordChangeL.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b)) (LinearEquiv.trans.{u1, u1, u1, u3, u4, u3} R R R F (E b) F _inst_1 _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_5 _inst_6 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomCompTriple.right_ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomCompTriple.right_ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.symm.{u1, u1, u4, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (Trivialization.linearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun {b : B} => _inst_7 b) (fun (x : B) => _inst_8 x) e _inst_9 b (And.left (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e')) hb))) (Trivialization.linearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun {b : B} => _inst_7 b) (fun (x : B) => _inst_8 x) e' _inst_10 b (And.right (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e')) hb)))
+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) (e' : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e'] {b : B} (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Inter.inter.{u4} (Set.{u4} B) (Set.instInterSet.{u4} B) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e'))), Eq.{succ u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) (ContinuousLinearEquiv.toLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (Trivialization.coordChangeL.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b)) (LinearEquiv.trans.{u1, u1, u1, u3, u2, u3} R R R F (E b) F _inst_1 _inst_1 _inst_1 _inst_5 (_inst_7 b) _inst_5 _inst_6 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomCompTriple.ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomCompTriple.ids.{u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.symm.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (Trivialization.linearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (b : B) => _inst_7 b) (fun (x : B) => _inst_8 x) e _inst_9 b (And.left (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e')) hb))) (Trivialization.linearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (b : B) => _inst_7 b) (fun (x : B) => _inst_8 x) e' _inst_10 b (And.right (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e')) hb)))
+Case conversion may be inaccurate. Consider using '#align trivialization.coe_coord_changeL' Trivialization.coe_coordChangeL'ₓ'. -/
+theorem coe_coordChangeL' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     (coordChangeL R e e' b).toLinearEquiv =
       (e.linearEquivAt R b hb.1).symm.trans (e'.linearEquivAt R b hb.2) :=
   LinearEquiv.coe_injective (coe_coordChangeL _ _ _)
-#align trivialization.coe_coord_changeL' Trivialization.coe_coord_changeL'
-
+#align trivialization.coe_coord_changeL' Trivialization.coe_coordChangeL'
+
+/- warning: trivialization.symm_coord_changeL -> Trivialization.symm_coordChangeL is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (e' : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e'] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e') (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e))) -> (Eq.{succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) (ContinuousLinearEquiv.symm.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (Trivialization.coordChangeL.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b)) (Trivialization.coordChangeL.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e' e _inst_10 _inst_9 b))
+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) (e' : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e'] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Inter.inter.{u4} (Set.{u4} B) (Set.instInterSet.{u4} B) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e') (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e))) -> (Eq.{succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) (ContinuousLinearEquiv.symm.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (Trivialization.coordChangeL.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b)) (Trivialization.coordChangeL.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e' e _inst_10 _inst_9 b))
+Case conversion may be inaccurate. Consider using '#align trivialization.symm_coord_changeL Trivialization.symm_coordChangeLₓ'. -/
 theorem symm_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e'.baseSet ∩ e.baseSet) : (e.coordChangeL R e' b).symm = e'.coordChangeL R e b :=
   by
@@ -332,12 +490,24 @@ theorem symm_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.is
     coe_coord_changeL' e e' hb.symm, LinearEquiv.trans_symm, LinearEquiv.symm_symm]
 #align trivialization.symm_coord_changeL Trivialization.symm_coordChangeL
 
+/- warning: trivialization.coord_changeL_apply -> Trivialization.coordChangeL_apply is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align trivialization.coord_changeL_apply Trivialization.coordChangeL_applyₓ'. -/
 theorem coordChangeL_apply (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) :
     coordChangeL R e e' b y = (e' (totalSpaceMk b (e.symm b y))).2 :=
   congr_arg (fun f => LinearEquiv.toFun f y) (dif_pos hb)
 #align trivialization.coord_changeL_apply Trivialization.coordChangeL_apply
 
+/- warning: trivialization.mk_coord_changeL -> Trivialization.mk_coordChangeL is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (e' : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e'] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e'))) -> (forall (y : F), Eq.{max (succ u2) (succ u3)} (Prod.{u2, u3} B F) (Prod.mk.{u2, u3} B F b (coeFn.{succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) (fun (_x : ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) => F -> F) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) (Trivialization.coordChangeL.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b) y)) (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Trivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) _inst_4) e' (Bundle.totalSpaceMk.{u2, u4} B E b (Trivialization.symm.{u2, u3, u4} B F E _inst_3 _inst_2 _inst_4 (fun (x : B) => AddZeroClass.toHasZero.{u4} (E x) (AddMonoid.toAddZeroClass.{u4} (E x) (AddCommMonoid.toAddMonoid.{u4} (E x) (_inst_7 x)))) e b y))))
+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) (e' : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e'] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Inter.inter.{u4} (Set.{u4} B) (Set.instInterSet.{u4} B) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e'))) -> (forall (y : F), Eq.{max (succ u4) (succ u3)} (Prod.{u4, u3} B ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) y)) (Prod.mk.{u4, u3} B ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) y) b (FunLike.coe.{succ u3, succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) _x) (ContinuousMapClass.toFunLike.{u3, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) F F _inst_2 _inst_2 (ContinuousSemilinearMapClass.toContinuousMapClass.{u3, u1, u1, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{u3, u1, u1, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6)))) (Trivialization.coordChangeL.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b) y)) (Trivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) _inst_4 e' (Bundle.totalSpaceMk.{u4, u2} B E b (Trivialization.symm.{u4, u3, u2} B F E _inst_3 _inst_2 _inst_4 (fun (x : B) => AddMonoid.toZero.{u2} (E x) (AddCommMonoid.toAddMonoid.{u2} (E x) (_inst_7 x))) e b y))))
+Case conversion may be inaccurate. Consider using '#align trivialization.mk_coord_changeL Trivialization.mk_coordChangeLₓ'. -/
 theorem mk_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) :
     (b, coordChangeL R e e' b y) = e' (totalSpaceMk b (e.symm b y)) :=
@@ -349,12 +519,24 @@ theorem mk_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLi
   · exact e.coord_changeL_apply e' hb y
 #align trivialization.mk_coord_changeL Trivialization.mk_coordChangeL
 
+/- warning: trivialization.apply_symm_apply_eq_coord_changeL -> Trivialization.apply_symm_apply_eq_coordChangeL is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (e' : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e'] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e'))) -> (forall (v : F), Eq.{max (succ u2) (succ u3)} (Prod.{u2, u3} B F) (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Trivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) _inst_4) e' (coeFn.{max (succ (max u2 u3)) (succ (max u2 u4)), max (succ (max u2 u3)) (succ (max u2 u4))} (LocalHomeomorph.{max u2 u3, max u2 u4} (Prod.{u2, u3} B F) (Bundle.TotalSpace.{u2, u4} B E) (Prod.topologicalSpace.{u2, u3} B F _inst_3 _inst_2) _inst_4) (fun (_x : LocalHomeomorph.{max u2 u3, max u2 u4} (Prod.{u2, u3} B F) (Bundle.TotalSpace.{u2, u4} B E) (Prod.topologicalSpace.{u2, u3} B F _inst_3 _inst_2) _inst_4) => (Prod.{u2, u3} B F) -> (Bundle.TotalSpace.{u2, u4} B E)) (LocalHomeomorph.hasCoeToFun.{max u2 u3, max u2 u4} (Prod.{u2, u3} B F) (Bundle.TotalSpace.{u2, u4} B E) (Prod.topologicalSpace.{u2, u3} B F _inst_3 _inst_2) _inst_4) (LocalHomeomorph.symm.{max u2 u4, max u2 u3} (Bundle.TotalSpace.{u2, u4} B E) (Prod.{u2, u3} B F) _inst_4 (Prod.topologicalSpace.{u2, u3} B F _inst_3 _inst_2) (Trivialization.toLocalHomeomorph.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Prod.mk.{u2, u3} B F b v))) (Prod.mk.{u2, u3} B F b (coeFn.{succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) (fun (_x : ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) => F -> F) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) (Trivialization.coordChangeL.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b) v)))
+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) (e' : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e'] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Inter.inter.{u4} (Set.{u4} B) (Set.instInterSet.{u4} B) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e'))) -> (forall (v : F), Eq.{max (succ u4) (succ u3)} (Prod.{u4, u3} B F) (Trivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u4, u2} B E) _inst_4 e' (LocalHomeomorph.toFun'.{max u4 u3, max u4 u2} (Prod.{u4, u3} B F) (Bundle.TotalSpace.{u4, u2} B E) (instTopologicalSpaceProd.{u4, u3} B F _inst_3 _inst_2) _inst_4 (LocalHomeomorph.symm.{max u4 u2, max u4 u3} (Bundle.TotalSpace.{u4, u2} B E) (Prod.{u4, u3} B F) _inst_4 (instTopologicalSpaceProd.{u4, u3} B F _inst_3 _inst_2) (Trivialization.toLocalHomeomorph.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Prod.mk.{u4, u3} B F b v))) (Prod.mk.{u4, u3} B ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) v) b (FunLike.coe.{succ u3, succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) _x) (ContinuousMapClass.toFunLike.{u3, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) F F _inst_2 _inst_2 (ContinuousSemilinearMapClass.toContinuousMapClass.{u3, u1, u1, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{u3, u1, u1, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6)))) (Trivialization.coordChangeL.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b) v)))
+Case conversion may be inaccurate. Consider using '#align trivialization.apply_symm_apply_eq_coord_changeL Trivialization.apply_symm_apply_eq_coordChangeLₓ'. -/
 theorem apply_symm_apply_eq_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R]
     [e'.isLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
     e' (e.toLocalHomeomorph.symm (b, v)) = (b, e.coordChangeL R e' b v) := by
   rw [e.mk_coord_changeL e' hb, e.mk_symm hb.1]
 #align trivialization.apply_symm_apply_eq_coord_changeL Trivialization.apply_symm_apply_eq_coordChangeL
 
+/- warning: trivialization.coord_changeL_apply' -> Trivialization.coordChangeL_apply' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (e' : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e'] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e'))) -> (forall (y : F), Eq.{succ u3} F (coeFn.{succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) (fun (_x : ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) => F -> F) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) (Trivialization.coordChangeL.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b) y) (Prod.snd.{u2, u3} B F (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Trivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E) _inst_4) e' (coeFn.{max (succ (max u2 u3)) (succ (max u2 u4)), max (succ (max u2 u3)) (succ (max u2 u4))} (LocalHomeomorph.{max u2 u3, max u2 u4} (Prod.{u2, u3} B F) (Bundle.TotalSpace.{u2, u4} B E) (Prod.topologicalSpace.{u2, u3} B F _inst_3 _inst_2) _inst_4) (fun (_x : LocalHomeomorph.{max u2 u3, max u2 u4} (Prod.{u2, u3} B F) (Bundle.TotalSpace.{u2, u4} B E) (Prod.topologicalSpace.{u2, u3} B F _inst_3 _inst_2) _inst_4) => (Prod.{u2, u3} B F) -> (Bundle.TotalSpace.{u2, u4} B E)) (LocalHomeomorph.hasCoeToFun.{max u2 u3, max u2 u4} (Prod.{u2, u3} B F) (Bundle.TotalSpace.{u2, u4} B E) (Prod.topologicalSpace.{u2, u3} B F _inst_3 _inst_2) _inst_4) (LocalHomeomorph.symm.{max u2 u4, max u2 u3} (Bundle.TotalSpace.{u2, u4} B E) (Prod.{u2, u3} B F) _inst_4 (Prod.topologicalSpace.{u2, u3} B F _inst_3 _inst_2) (Trivialization.toLocalHomeomorph.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Prod.mk.{u2, u3} B F b y)))))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align trivialization.coord_changeL_apply' Trivialization.coordChangeL_apply'ₓ'. -/
 /-- A version of `coord_change_apply` that fully unfolds `coord_change`. The right-hand side is
 ugly, but has good definitional properties for specifically defined trivializations. -/
 theorem coordChangeL_apply' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
@@ -363,6 +545,12 @@ theorem coordChangeL_apply' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.
   rw [e.coord_changeL_apply e' hb, e.mk_symm hb.1]
 #align trivialization.coord_changeL_apply' Trivialization.coordChangeL_apply'
 
+/- warning: trivialization.coord_changeL_symm_apply -> Trivialization.coordChangeL_symm_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u2} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_8 : forall (x : B), Module.{u1, u4} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) (e' : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E _inst_1 _inst_2 _inst_3 _inst_4 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(x : B) => _inst_8 x) e _inst_9 b (And.left (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u2, u4} B E) e')) hb))))
+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : TopologicalSpace.{u3} F] [_inst_3 : TopologicalSpace.{u4} B] [_inst_4 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u3} R F _inst_1 _inst_5] [_inst_7 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_8 : forall (x : B), Module.{u1, u2} R (E x) _inst_1 (_inst_7 x)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) (e' : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_9 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e] [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e'] {b : B} (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Inter.inter.{u4} (Set.{u4} B) (Set.instInterSet.{u4} B) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e'))), Eq.{succ u3} (forall (ᾰ : F), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) ᾰ) (FunLike.coe.{succ u3, succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) _x) (ContinuousMapClass.toFunLike.{u3, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) F F _inst_2 _inst_2 (ContinuousSemilinearMapClass.toContinuousMapClass.{u3, u1, u1, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{u3, u1, u1, u3, u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6) R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6)))) (ContinuousLinearEquiv.symm.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F _inst_2 _inst_5 F _inst_2 _inst_5 _inst_6 _inst_6 (Trivialization.coordChangeL.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e e' _inst_9 _inst_10 b))) (FunLike.coe.{succ u3, succ u3, succ u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : F) => F) _x) (SMulHomClass.toFunLike.{u3, u1, u3, u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) R F F (SMulZeroClass.toSMul.{u1, u3} R F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribSMul.toSMulZeroClass.{u1, u3} R F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribMulAction.toDistribSMul.{u1, u3} R F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6)))) (SMulZeroClass.toSMul.{u1, u3} R F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribSMul.toSMulZeroClass.{u1, u3} R F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (DistribMulAction.toDistribSMul.{u1, u3} R F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6)))) (DistribMulActionHomClass.toSMulHomClass.{u3, u1, u3, u3} (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) F F _inst_5 _inst_5 _inst_6 _inst_6) R F F (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (AddCommMonoid.toAddMonoid.{u3} F _inst_5) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6) (Module.toDistribMulAction.{u1, u3} R F _inst_1 _inst_5 _inst_6) (SemilinearMapClass.distribMulActionHomClass.{u1, u3, u3, u3} R F F (LinearEquiv.{u1, u1, u3, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R 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_inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.symm.{u1, u1, u2, u3} R R (E b) F _inst_1 _inst_1 (_inst_7 b) _inst_5 (_inst_8 b) _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (Trivialization.linearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 (fun (x : B) => _inst_7 x) (fun (x : B) => _inst_8 x) e' _inst_10 b (And.right (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_3 _inst_2 _inst_4 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, 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+Case conversion may be inaccurate. Consider using '#align trivialization.coord_changeL_symm_apply Trivialization.coordChangeL_symm_applyₓ'. -/
 theorem coordChangeL_symm_apply (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R]
     {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     ⇑(coordChangeL R e e' b).symm =
@@ -378,19 +566,25 @@ section
 
 namespace Bundle
 
+#print Bundle.zeroSection /-
 /-- The zero section of a vector bundle -/
 def zeroSection [∀ x, Zero (E x)] : B → TotalSpace E := fun x => totalSpaceMk x 0
 #align bundle.zero_section Bundle.zeroSection
+-/
 
+#print Bundle.zeroSection_proj /-
 @[simp, mfld_simps]
 theorem zeroSection_proj [∀ x, Zero (E x)] (x : B) : (zeroSection E x).proj = x :=
   rfl
 #align bundle.zero_section_proj Bundle.zeroSection_proj
+-/
 
+#print Bundle.zeroSection_snd /-
 @[simp, mfld_simps]
 theorem zeroSection_snd [∀ x, Zero (E x)] (x : B) : (zeroSection E x).2 = 0 :=
   rfl
 #align bundle.zero_section_snd Bundle.zeroSection_snd
+-/
 
 end Bundle
 
@@ -400,6 +594,7 @@ variable [NontriviallyNormedField R] [∀ x, AddCommMonoid (E x)] [∀ x, Module
   [NormedAddCommGroup F] [NormedSpace R F] [TopologicalSpace B] [TopologicalSpace (TotalSpace E)]
   [∀ x, TopologicalSpace (E x)] [FiberBundle F E]
 
+#print VectorBundle /-
 /- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`continuousOn_coord_change'] [] -/
 /-- The space `total_space E` (for `E : B → Type*` such that each `E x` is a topological vector
 space) has a topological vector space structure with fiber `F` (denoted with
@@ -412,23 +607,33 @@ class VectorBundle : Prop where
       ContinuousOn (fun b => Trivialization.coordChangeL R e e' b : B → F →L[R] F)
         (e.baseSet ∩ e'.baseSet)
 #align vector_bundle VectorBundle
+-/
 
 variable {F E}
 
+#print trivialization_linear /-
 instance (priority := 100) trivialization_linear [VectorBundle R F E] (e : Trivialization F (π E))
     [MemTrivializationAtlas e] : e.isLinear R :=
   VectorBundle.trivialization_linear' e
 #align trivialization_linear trivialization_linear
+-/
 
-theorem continuousOn_coord_change [VectorBundle R F E] (e e' : Trivialization F (π E))
+/- warning: continuous_on_coord_change -> continuousOn_coordChange is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] [_inst_10 : VectorBundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) (e' : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [he : MemTrivializationAtlas.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e] [he' : MemTrivializationAtlas.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e'], ContinuousOn.{u2, u3} B (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R 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(NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) _inst_6 (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, u3} R R (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) 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(NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearEquiv.ContinuousLinearMap.coe.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) (Trivialization.coordChangeL.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e e' (trivialization_linear.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 _inst_10 e he) (trivialization_linear.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 _inst_10 e' he') b)) (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e'))
+but is expected to have type
+  forall (R : Type.{u4}) {B : Type.{u3}} {F : Type.{u2}} {E : B -> Type.{u1}} [_inst_1 : NontriviallyNormedField.{u4} R] [_inst_2 : forall (x : B), AddCommMonoid.{u1} (E x)] [_inst_3 : forall (x : B), Module.{u4, u1} R (E x) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] [_inst_7 : TopologicalSpace.{max u1 u3} (Bundle.TotalSpace.{u3, u1} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u1} (E x)] [_inst_9 : FiberBundle.{u3, u2, u1} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] [_inst_10 : VectorBundle.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9] (e : Trivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u3, u1} B E)) (e' : Trivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u3, u1} B E)) [he : MemTrivializationAtlas.{u3, u2, u1} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e] [he' : MemTrivializationAtlas.{u3, u2, u1} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e'], ContinuousOn.{u3, u2} B (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) _inst_6 (ContinuousLinearMap.topologicalSpace.{u4, u4, u2, u2} R R (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F F (SeminormedAddCommGroup.toAddCommGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (SeminormedAddCommGroup.toAddCommGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4))) (fun (b : B) => ContinuousLinearEquiv.toContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) (RingHomInvPair.ids.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1)))))) (RingHomInvPair.ids.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (Trivialization.coordChangeL.{u4, u3, u2, u1} R B F E (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e e' (trivialization_linear.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 _inst_10 e he) (trivialization_linear.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 _inst_10 e' he') b)) (Inter.inter.{u3} (Set.{u3} B) (Set.instInterSet.{u3} B) (Trivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u3, u1} B E) e) (Trivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u3, u1} B E) e'))
+Case conversion may be inaccurate. Consider using '#align continuous_on_coord_change continuousOn_coordChangeₓ'. -/
+theorem continuousOn_coordChange [VectorBundle R F E] (e e' : Trivialization F (π E))
     [he : MemTrivializationAtlas e] [he' : MemTrivializationAtlas e'] :
     ContinuousOn (fun b => Trivialization.coordChangeL R e e' b : B → F →L[R] F)
       (e.baseSet ∩ e'.baseSet) :=
   VectorBundle.continuousOn_coord_change' R e e'
-#align continuous_on_coord_change continuousOn_coord_change
+#align continuous_on_coord_change continuousOn_coordChange
 
 namespace Trivialization
 
+#print Trivialization.continuousLinearMapAt /-
 /-- Forward map of `continuous_linear_equiv_at` (only propositionally equal),
   defined everywhere (`0` outside domain). -/
 @[simps (config := { fullyApplied := false }) apply]
@@ -446,7 +651,9 @@ def continuousLinearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) :
           (e.continuous_on.comp_continuous (FiberBundle.totalSpaceMk_inducing F E b).Continuous
             fun x => e.mem_source.mpr hb) }
 #align trivialization.continuous_linear_map_at Trivialization.continuousLinearMapAt
+-/
 
+#print Trivialization.symmL /-
 /-- Backwards map of `continuous_linear_equiv_at`, defined everywhere. -/
 @[simps (config := { fullyApplied := false }) apply]
 def symmL (e : Trivialization F (π E)) [e.isLinear R] (b : B) : F →L[R] E b :=
@@ -462,14 +669,27 @@ def symmL (e : Trivialization F (π E)) [e.isLinear R] (b : B) : F →L[R] E b :
             mk_mem_prod hb (mem_univ x)
       · refine' continuous_zero.congr fun x => (e.symm_apply_of_not_mem hb x).symm }
 #align trivialization.symmL Trivialization.symmL
+-/
 
 variable {R}
 
+/- warning: trivialization.symmL_continuous_linear_map_at -> Trivialization.symmL_continuousLinearMapAt is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) -> (forall (y : E b), Eq.{succ u4} (E b) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) (fun (_x : ContinuousLinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) => F -> (E b)) (ContinuousLinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) (Trivialization.symmL.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b) (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (ContinuousLinearMap.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => (E b) -> F) (ContinuousLinearMap.toFun.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Trivialization.continuousLinearMapAt.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b) y)) y)
+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_3 : forall (x : B), Module.{u1, u2} R (E x) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u2} (E x)] [_inst_9 : FiberBundle.{u4, u3, u2} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) -> (forall (y : E b), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E b) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (ContinuousLinearMap.{u1, u1, u2, u3} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (E b) (fun (a : E b) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E b) => F) a) (ContinuousMapClass.toFunLike.{max u3 u2, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (E b) F (_inst_8 b) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u1, u1, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R 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+Case conversion may be inaccurate. Consider using '#align trivialization.symmL_continuous_linear_map_at Trivialization.symmL_continuousLinearMapAtₓ'. -/
 theorem symmL_continuousLinearMapAt (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : E b) : e.symmL R b (e.continuousLinearMapAt R b y) = y :=
   e.symmₗ_linearMapAt hb y
 #align trivialization.symmL_continuous_linear_map_at Trivialization.symmL_continuousLinearMapAt
 
+/- warning: trivialization.continuous_linear_map_at_symmL -> Trivialization.continuousLinearMapAt_symmL is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) -> (forall (y : F), Eq.{succ u3} F (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (ContinuousLinearMap.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => (E b) -> F) (ContinuousLinearMap.toFun.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Trivialization.continuousLinearMapAt.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) (fun (_x : ContinuousLinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) => F -> (E b)) (ContinuousLinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) (Trivialization.symmL.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b) y)) y)
+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_3 : forall (x : B), Module.{u1, u2} R (E x) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u2} (E x)] [_inst_9 : FiberBundle.{u4, u3, u2} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) -> (forall (y : F), Eq.{succ u3} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E b) => F) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (ContinuousLinearMap.{u1, u1, u3, u2} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) F (fun (a : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E b) a) (ContinuousMapClass.toFunLike.{max u3 u2, u3, u2} (ContinuousLinearMap.{u1, u1, u3, u2} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) F (E b) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (_inst_8 b) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u1, u1, u3, u2} (ContinuousLinearMap.{u1, u1, u3, u2} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) 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+Case conversion may be inaccurate. Consider using '#align trivialization.continuous_linear_map_at_symmL Trivialization.continuousLinearMapAt_symmLₓ'. -/
 theorem continuousLinearMapAt_symmL (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : F) : e.continuousLinearMapAt R b (e.symmL R b y) = y :=
   e.linearMapAt_symmₗ hb y
@@ -477,6 +697,7 @@ theorem continuousLinearMapAt_symmL (e : Trivialization F (π E)) [e.isLinear R]
 
 variable (R)
 
+#print Trivialization.continuousLinearEquivAt /-
 /-- In a vector bundle, a trivialization in the fiber (which is a priori only linear)
 is in fact a continuous linear equiv between the fibers and the model fiber. -/
 @[simps (config := { fullyApplied := false }) apply symm_apply]
@@ -494,20 +715,39 @@ def continuousLinearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B)
           fun x => e.mem_source.mpr hb)
     continuous_invFun := (e.symmL R b).Continuous }
 #align trivialization.continuous_linear_equiv_at Trivialization.continuousLinearEquivAt
+-/
 
 variable {R}
 
+/- warning: trivialization.coe_continuous_linear_equiv_at_eq -> Trivialization.coe_continuousLinearEquivAt_eq is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] {b : B} (hb : Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)), Eq.{max (succ u4) (succ u3)} ((fun (_x : ContinuousLinearEquiv.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (Trivialization.continuousLinearEquivAt._proof_1.{u1} R _inst_1) (Trivialization.continuousLinearEquivAt._proof_2.{u1} R _inst_1) (E b) ((fun (x : B) => _inst_8 x) b) ((fun (x : B) => _inst_2 x) b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) ((fun (x : B) => _inst_3 x) b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => (E b) -> F) (Trivialization.continuousLinearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b hb)) (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (ContinuousLinearEquiv.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (Trivialization.continuousLinearEquivAt._proof_1.{u1} R _inst_1) (Trivialization.continuousLinearEquivAt._proof_2.{u1} R _inst_1) (E b) ((fun (x : B) => _inst_8 x) b) ((fun (x : B) => _inst_2 x) b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) ((fun (x : B) => _inst_3 x) b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearEquiv.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (Trivialization.continuousLinearEquivAt._proof_1.{u1} R _inst_1) (Trivialization.continuousLinearEquivAt._proof_2.{u1} R _inst_1) (E b) ((fun (x : B) => _inst_8 x) b) ((fun (x : B) => _inst_2 x) b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) ((fun (x : B) => _inst_3 x) b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => (E b) -> F) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (Trivialization.continuousLinearEquivAt._proof_1.{u1} R _inst_1) (Trivialization.continuousLinearEquivAt._proof_2.{u1} R _inst_1) (E b) ((fun (x : B) => _inst_8 x) b) ((fun (x : B) => _inst_2 x) b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) ((fun (x : B) => _inst_3 x) b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Trivialization.continuousLinearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b hb)) (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (ContinuousLinearMap.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) ((fun (x : B) => _inst_8 x) b) ((fun (x : B) => _inst_2 x) b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) ((fun (x : B) => _inst_3 x) b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) ((fun (x : B) => _inst_8 x) b) ((fun (x : B) => _inst_2 x) b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) ((fun (x : B) => _inst_3 x) b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => (E b) -> F) (ContinuousLinearMap.toFun.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) ((fun (x : B) => _inst_8 x) b) ((fun (x : B) => _inst_2 x) b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) ((fun (x : B) => _inst_3 x) b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Trivialization.continuousLinearMapAt.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b))
+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_3 : forall (x : B), Module.{u1, u2} R (E x) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u2} (E x)] [_inst_9 : FiberBundle.{u4, u3, u2} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] {b : B} (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)), Eq.{max (succ u3) (succ u2)} (forall (a : E b), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E b) => F) a) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R 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(DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)))) (Trivialization.continuousLinearMapAt.{u1, u4, u3, u2} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b))
+Case conversion may be inaccurate. Consider using '#align trivialization.coe_continuous_linear_equiv_at_eq Trivialization.coe_continuousLinearEquivAt_eqₓ'. -/
 theorem coe_continuousLinearEquivAt_eq (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) :
     (e.continuousLinearEquivAt R b hb : E b → F) = e.continuousLinearMapAt R b :=
   (e.coe_linearMapAt_of_mem hb).symm
 #align trivialization.coe_continuous_linear_equiv_at_eq Trivialization.coe_continuousLinearEquivAt_eq
 
+/- warning: trivialization.symm_continuous_linear_equiv_at_eq -> Trivialization.symm_continuousLinearEquivAt_eq is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] {b : B} (hb : Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)), Eq.{max (succ u3) (succ u4)} ((fun (_x : ContinuousLinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R 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(NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (Trivialization.continuousLinearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 (fun {b : B} => _inst_2 b) (fun {b : B} => _inst_3 b) _inst_4 _inst_5 _inst_6 _inst_7 (fun {b : B} => _inst_8 b) _inst_9 e _inst_10 b hb))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R 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R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) ((fun (x : B) => _inst_8 x) b) ((fun (x : B) => _inst_2 x) b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) ((fun (x : B) => _inst_3 x) b)) => F -> (E b)) (ContinuousLinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) ((fun (x : B) => _inst_8 x) b) ((fun (x : B) => _inst_2 x) b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) ((fun (x : B) => _inst_3 x) b)) (Trivialization.symmL.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b))
+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_3 : forall (x : B), Module.{u1, u2} R (E x) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u2} (E x)] [_inst_9 : FiberBundle.{u4, u3, u2} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] {b : B} (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)), Eq.{max (succ u3) (succ u2)} (forall (a : F), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E b) a) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R 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u1, u3, u2} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R 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(DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)))) (Trivialization.symmL.{u1, u4, u3, u2} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b))
+Case conversion may be inaccurate. Consider using '#align trivialization.symm_continuous_linear_equiv_at_eq Trivialization.symm_continuousLinearEquivAt_eqₓ'. -/
 theorem symm_continuousLinearEquivAt_eq (e : Trivialization F (π E)) [e.isLinear R] {b : B}
     (hb : b ∈ e.baseSet) : ((e.continuousLinearEquivAt R b hb).symm : F → E b) = e.symmL R b :=
   rfl
 #align trivialization.symm_continuous_linear_equiv_at_eq Trivialization.symm_continuousLinearEquivAt_eq
 
+/- warning: trivialization.continuous_linear_equiv_at_apply' -> Trivialization.continuousLinearEquivAt_apply' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, 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(Trivialization.continuousLinearEquivAt._proof_2.{u1} R _inst_1) (E (Bundle.TotalSpace.proj.{u2, u4} B E x)) (_inst_8 (Bundle.TotalSpace.proj.{u2, u4} B E x)) (_inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E x)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 (Bundle.TotalSpace.proj.{u2, u4} B E x)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => (E (Bundle.TotalSpace.proj.{u2, u4} B E x)) -> F) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (Trivialization.continuousLinearEquivAt._proof_1.{u1} R _inst_1) (Trivialization.continuousLinearEquivAt._proof_2.{u1} R _inst_1) (E (Bundle.TotalSpace.proj.{u2, u4} B E x)) (_inst_8 (Bundle.TotalSpace.proj.{u2, u4} B E x)) (_inst_2 (Bundle.TotalSpace.proj.{u2, u4} B E x)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 (Bundle.TotalSpace.proj.{u2, u4} B E x)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Trivialization.continuousLinearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 (Bundle.TotalSpace.proj.{u2, u4} B E x) (Iff.mp (Membership.Mem.{max u2 u4, max u2 u4} (Bundle.TotalSpace.{u2, u4} B E) (Set.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)) (Set.hasMem.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)) x (LocalEquiv.source.{max u2 u4, max u2 u3} (Bundle.TotalSpace.{u2, u4} B E) (Prod.{u2, u3} B F) (LocalHomeomorph.toLocalEquiv.{max u2 u4, max u2 u3} (Bundle.TotalSpace.{u2, u4} B E) (Prod.{u2, u3} B F) _inst_7 (Prod.topologicalSpace.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (Trivialization.toLocalHomeomorph.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)))) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) (Bundle.TotalSpace.proj.{u2, u4} B E x) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Trivialization.mem_source.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E) _inst_7 e x) hx)) (Sigma.snd.{u2, u4} B (fun (x : B) => E x) x)) (Prod.snd.{u2, u3} B F (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Trivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E) _inst_7) e x))
+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_3 : forall (x : B), Module.{u1, u2} R (E x) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u2} (E x)] [_inst_9 : FiberBundle.{u4, u3, u2} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) 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x)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 (Bundle.TotalSpace.proj.{u4, u2} B E x)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) (Trivialization.continuousLinearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 (Bundle.TotalSpace.proj.{u4, u2} B E x) (Iff.mp (Membership.mem.{max u4 u2, max u4 u2} (Bundle.TotalSpace.{u4, u2} B E) (Set.{max u4 u2} (Bundle.TotalSpace.{u4, u2} B E)) (Set.instMembershipSet.{max u4 u2} (Bundle.TotalSpace.{u4, u2} B E)) x (LocalEquiv.source.{max u4 u2, max u4 u3} (Bundle.TotalSpace.{u4, u2} B E) (Prod.{u4, u3} B F) (LocalHomeomorph.toLocalEquiv.{max u4 u2, max u4 u3} (Bundle.TotalSpace.{u4, u2} B E) (Prod.{u4, u3} B F) _inst_7 (instTopologicalSpaceProd.{u4, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (Trivialization.toLocalHomeomorph.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)))) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) (Bundle.TotalSpace.proj.{u4, u2} B E x) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Trivialization.mem_source.{u3, u4, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u4, u2} B E) _inst_7 e x) hx)) (Sigma.snd.{u4, u2} B (fun (x : B) => E x) x)) (Prod.snd.{u4, u3} B F (Trivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u4, u2} B E) _inst_7 e x))
+Case conversion may be inaccurate. Consider using '#align trivialization.continuous_linear_equiv_at_apply' Trivialization.continuousLinearEquivAt_apply'ₓ'. -/
 @[simp]
 theorem continuousLinearEquivAt_apply' (e : Trivialization F (π E)) [e.isLinear R]
     (x : TotalSpace E) (hx : x ∈ e.source) :
@@ -519,6 +759,12 @@ theorem continuousLinearEquivAt_apply' (e : Trivialization F (π E)) [e.isLinear
 
 variable (R)
 
+/- warning: trivialization.apply_eq_prod_continuous_linear_equiv_at -> Trivialization.apply_eq_prod_continuousLinearEquivAt is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] (b : B) (hb : Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (z : E b), Eq.{max (succ u2) (succ u3)} (Prod.{u2, u3} B F) (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F 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(_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearEquiv.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R 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_inst_4) _inst_5)) => (E b) -> F) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (Trivialization.continuousLinearEquivAt._proof_1.{u1} R _inst_1) (Trivialization.continuousLinearEquivAt._proof_2.{u1} R _inst_1) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Trivialization.continuousLinearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b hb) z))
+but is expected to have type
+  forall (R : Type.{u1}) {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_3 : forall (x : B), Module.{u1, u2} R (E x) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u2} (E x)] [_inst_9 : FiberBundle.{u4, u3, u2} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] (b : B) (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (z : E b), Eq.{max (succ u4) (succ u3)} (Prod.{u4, u3} B F) (Trivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u4, u2} B E) _inst_7 e (Sigma.mk.{u4, u2} B (fun (x : B) => E x) b z)) (Prod.mk.{u4, u3} B ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E b) => F) z) b (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (E b) (fun (_x : E b) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E b) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u2, u2, u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (E b) F (_inst_8 b) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u1, u1, u2, u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u3 u2, u1, u1, u2, u3} (ContinuousLinearEquiv.{u1, u1, u2, u3} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F 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(DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u2, u3} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) (Trivialization.continuousLinearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 _inst_7 (fun (x : B) => _inst_8 x) _inst_9 e _inst_10 b hb) z))
+Case conversion may be inaccurate. Consider using '#align trivialization.apply_eq_prod_continuous_linear_equiv_at Trivialization.apply_eq_prod_continuousLinearEquivAtₓ'. -/
 theorem apply_eq_prod_continuousLinearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B)
     (hb : b ∈ e.baseSet) (z : E b) : e ⟨b, z⟩ = (b, e.continuousLinearEquivAt R b hb z) :=
   by
@@ -529,6 +775,12 @@ theorem apply_eq_prod_continuousLinearEquivAt (e : Trivialization F (π E)) [e.i
   · simp only [coe_coe, continuous_linear_equiv_at_apply]
 #align trivialization.apply_eq_prod_continuous_linear_equiv_at Trivialization.apply_eq_prod_continuousLinearEquivAt
 
+/- warning: trivialization.zero_section -> Trivialization.zeroSection is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] {x : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) x (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) -> (Eq.{max (succ u2) (succ u3)} (Prod.{u2, u3} B F) (coeFn.{max (succ u2) (succ u3) (succ (max u2 u4)), max (succ (max u2 u4)) (succ u2) (succ u3)} (Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Trivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E) _inst_7) e (Bundle.zeroSection.{u2, u4} B E (fun (x : B) => AddZeroClass.toHasZero.{u4} (E x) (AddMonoid.toAddZeroClass.{u4} (E x) (AddCommMonoid.toAddMonoid.{u4} (E x) (_inst_2 x)))) x)) (Prod.mk.{u2, u3} B F x (OfNat.ofNat.{u3} F 0 (OfNat.mk.{u3} F 0 (Zero.zero.{u3} F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4)))))))))))
+but is expected to have type
+  forall (R : Type.{u1}) {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_3 : forall (x : B), Module.{u1, u2} R (E x) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u2} (E x)] [_inst_9 : FiberBundle.{u4, u3, u2} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] {x : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) x (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) -> (Eq.{max (succ u4) (succ u3)} (Prod.{u4, u3} B F) (Trivialization.toFun'.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u4, u2} B E) _inst_7 e (Bundle.zeroSection.{u4, u2} B E (fun (x : B) => AddMonoid.toZero.{u2} (E x) (AddCommMonoid.toAddMonoid.{u2} (E x) (_inst_2 x))) x)) (Prod.mk.{u4, u3} B F x (OfNat.ofNat.{u3} F 0 (Zero.toOfNat0.{u3} F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4))))))))))
+Case conversion may be inaccurate. Consider using '#align trivialization.zero_section Trivialization.zeroSectionₓ'. -/
 protected theorem zeroSection (e : Trivialization F (π E)) [e.isLinear R] {x : B}
     (hx : x ∈ e.baseSet) : e (zeroSection E x) = (x, 0) := by
   simp_rw [zero_section, total_space_mk, e.apply_eq_prod_continuous_linear_equiv_at R x hx 0,
@@ -537,6 +789,12 @@ protected theorem zeroSection (e : Trivialization F (π E)) [e.isLinear R] {x :
 
 variable {R}
 
+/- warning: trivialization.symm_apply_eq_mk_continuous_linear_equiv_at_symm -> Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] (b : B) (hb : Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (z : F), Eq.{max (succ u2) (succ u4)} (Bundle.TotalSpace.{u2, u4} B E) (coeFn.{max (succ (max u2 u3)) (succ (max u2 u4)), max (succ (max u2 u3)) (succ (max u2 u4))} (LocalHomeomorph.{max u2 u3, max u2 u4} (Prod.{u2, u3} B F) (Bundle.TotalSpace.{u2, u4} B E) (Prod.topologicalSpace.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F 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(Prod.topologicalSpace.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (Trivialization.toLocalHomeomorph.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Prod.mk.{u2, u3} B F b z)) (Bundle.totalSpaceMk.{u2, u4} B E b (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (Trivialization.continuousLinearEquivAt._proof_2.{u1} R _inst_1) (Trivialization.continuousLinearEquivAt._proof_1.{u1} R _inst_1) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) (fun (_x : ContinuousLinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (Trivialization.continuousLinearEquivAt._proof_2.{u1} R _inst_1) (Trivialization.continuousLinearEquivAt._proof_1.{u1} R _inst_1) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) => F -> (E b)) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (Trivialization.continuousLinearEquivAt._proof_2.{u1} R _inst_1) (Trivialization.continuousLinearEquivAt._proof_1.{u1} R _inst_1) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) (ContinuousLinearEquiv.symm.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (Trivialization.continuousLinearEquivAt._proof_1.{u1} R _inst_1) (Trivialization.continuousLinearEquivAt._proof_2.{u1} R _inst_1) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (Trivialization.continuousLinearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 (fun (b : B) => _inst_2 b) (fun (b : B) => _inst_3 b) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e _inst_10 b hb)) z))
+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_3 : forall (x : B), Module.{u1, u2} R (E x) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u2} (E x)] [_inst_9 : FiberBundle.{u4, u3, u2} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] (b : B) (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (z : F), Eq.{max (succ u4) (succ u2)} (Bundle.TotalSpace.{u4, u2} B E) (LocalHomeomorph.toFun'.{max u4 u3, max u4 u2} (Prod.{u4, u3} B F) (Bundle.TotalSpace.{u4, u2} B E) (instTopologicalSpaceProd.{u4, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) _inst_7 (LocalHomeomorph.symm.{max u4 u2, max u4 u3} (Bundle.TotalSpace.{u4, u2} B E) (Prod.{u4, u3} B F) _inst_7 (instTopologicalSpaceProd.{u4, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (Trivialization.toLocalHomeomorph.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Prod.mk.{u4, u3} B F b z)) (Bundle.totalSpaceMk.{u4, u2} B E b (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E b) _x) (ContinuousMapClass.toFunLike.{max u3 u2, u3, u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} R R (DivisionSemiring.toSemiring.{u1} R 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(NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) F (E b) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (_inst_8 b) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u1, u1, u3, u2} (ContinuousLinearEquiv.{u1, u1, u3, u2} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) 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(Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F 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(NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b)) R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R 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(NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R 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(NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (Trivialization.continuousLinearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 (fun (b : B) => _inst_2 b) (fun (b : B) => _inst_3 b) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e _inst_10 b hb)) z))
+Case conversion may be inaccurate. Consider using '#align trivialization.symm_apply_eq_mk_continuous_linear_equiv_at_symm Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symmₓ'. -/
 theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π E)) [e.isLinear R]
     (b : B) (hb : b ∈ e.baseSet) (z : F) :
     e.toLocalHomeomorph.symm ⟨b, z⟩ = totalSpaceMk b ((e.continuousLinearEquivAt R b hb).symm z) :=
@@ -550,6 +808,12 @@ theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π
     ContinuousLinearEquiv.apply_symm_apply]
 #align trivialization.symm_apply_eq_mk_continuous_linear_equiv_at_symm Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm
 
+/- warning: trivialization.comp_continuous_linear_equiv_at_eq_coord_change -> Trivialization.comp_continuousLinearEquivAt_eq_coord_change is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u4} (E x)] [_inst_9 : FiberBundle.{u2, u3, u4} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) (e' : Trivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] [_inst_11 : Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e'] {b : B} (hb : Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e) (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e'))), Eq.{succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R 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_inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearEquiv.trans.{u1, u1, u1, u3, u4, u3} R R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (Trivialization.continuousLinearEquivAt._proof_2.{u1} R _inst_1) (Trivialization.continuousLinearEquivAt._proof_1.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (Trivialization.continuousLinearEquivAt._proof_1.{u1} R _inst_1) (Trivialization.continuousLinearEquivAt._proof_2.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomCompTriple.right_ids.{u1, u1} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))))) (RingHomCompTriple.right_ids.{u1, u1} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (ContinuousLinearEquiv.symm.{u1, u1, u4, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (Trivialization.continuousLinearEquivAt._proof_1.{u1} R _inst_1) (Trivialization.continuousLinearEquivAt._proof_2.{u1} R _inst_1) (E b) (_inst_8 b) (_inst_2 b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_3 b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (Trivialization.continuousLinearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 (fun {b : B} => _inst_2 b) (fun {b : B} => _inst_3 b) _inst_4 _inst_5 _inst_6 _inst_7 (fun {b : B} => _inst_8 b) _inst_9 e _inst_10 b (And.left (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e')) hb))) (Trivialization.continuousLinearEquivAt.{u1, u2, u3, u4} R B F E _inst_1 (fun {b : B} => _inst_2 b) (fun {b : B} => _inst_3 b) _inst_4 _inst_5 _inst_6 _inst_7 (fun {b : B} => _inst_8 b) _inst_9 e' _inst_11 b (And.right (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e)) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u2, u4} B E) e')) hb))) (Trivialization.coordChangeL.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e e' _inst_10 _inst_11 b)
+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u4}} {F : Type.{u3}} {E : B -> Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u2} (E x)] [_inst_3 : forall (x : B), Module.{u1, u2} R (E x) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] [_inst_7 : TopologicalSpace.{max u2 u4} (Bundle.TotalSpace.{u4, u2} B E)] [_inst_8 : forall (x : B), TopologicalSpace.{u2} (E x)] [_inst_9 : FiberBundle.{u4, u3, u2} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_7 (fun (b : B) => _inst_8 b)] (e : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E)) (e' : Trivialization.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E)) [_inst_10 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e] [_inst_11 : Trivialization.IsLinear.{u1, u4, u3, u2} R B F E (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 _inst_7 (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) e'] {b : B} (hb : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Inter.inter.{u4} (Set.{u4} B) (Set.instInterSet.{u4} B) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e) (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e'))), Eq.{succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearEquiv.trans.{u1, u1, u1, u3, u2, u3} R R R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHom.id.{u1} R 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(Bundle.TotalSpace.proj.{u4, u2} B E) e')) hb))) (Trivialization.continuousLinearEquivAt.{u1, u4, u3, u2} R B F E _inst_1 (fun (b : B) => _inst_2 b) (fun (b : B) => _inst_3 b) _inst_4 _inst_5 _inst_6 _inst_7 (fun (b : B) => _inst_8 b) _inst_9 e' _inst_11 b (And.right (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_7 (Bundle.TotalSpace.proj.{u4, u2} B E) e)) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F 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+Case conversion may be inaccurate. Consider using '#align trivialization.comp_continuous_linear_equiv_at_eq_coord_change Trivialization.comp_continuousLinearEquivAt_eq_coord_changeₓ'. -/
 theorem comp_continuousLinearEquivAt_eq_coord_change (e e' : Trivialization F (π E)) [e.isLinear R]
     [e'.isLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     (e.continuousLinearEquivAt R b hb.1).symm.trans (e'.continuousLinearEquivAt R b hb.2) =
@@ -569,6 +833,7 @@ include R F
 
 variable (R B F)
 
+#print VectorBundleCore /-
 /-- Analogous construction of `fiber_bundle_core` for vector bundles. This
 construction gives a way to construct vector bundles from a structure registering how
 trivialization changes act on fibers. -/
@@ -585,7 +850,9 @@ structure VectorBundleCore (ι : Type _) where
       ∀ x ∈ base_set i ∩ base_set j ∩ base_set k,
         ∀ v, (coord_change j k x) (coord_change i j x v) = coord_change i k x v
 #align vector_bundle_core VectorBundleCore
+-/
 
+#print trivialVectorBundleCore /-
 /-- The trivial vector bundle core, in which all the changes of coordinates are the
 identity. -/
 def trivialVectorBundleCore (ι : Type _) [Inhabited ι] : VectorBundleCore R B F ι
@@ -599,6 +866,7 @@ def trivialVectorBundleCore (ι : Type _) [Inhabited ι] : VectorBundleCore R B
   coordChange_comp i j k x hx v := rfl
   continuousOn_coordChange i j := continuousOn_const
 #align trivial_vector_bundle_core trivialVectorBundleCore
+-/
 
 instance (ι : Type _) [Inhabited ι] : Inhabited (VectorBundleCore R B F ι) :=
   ⟨trivialVectorBundleCore R B F ι⟩
@@ -607,6 +875,7 @@ namespace VectorBundleCore
 
 variable {R B F} {ι : Type _} (Z : VectorBundleCore R B F ι)
 
+#print VectorBundleCore.toFiberBundleCore /-
 /-- Natural identification to a `fiber_bundle_core`. -/
 @[simps (config := mfld_cfg)]
 def toFiberBundleCore : FiberBundleCore ι B F :=
@@ -616,6 +885,7 @@ def toFiberBundleCore : FiberBundleCore ι B F :=
       isBoundedBilinearMapApply.Continuous.comp_continuousOn
         ((Z.continuousOn_coordChange i j).Prod_map continuousOn_id) }
 #align vector_bundle_core.to_fiber_bundle_core VectorBundleCore.toFiberBundleCore
+-/
 
 instance toFiberBundleCoreCoe : Coe (VectorBundleCore R B F ι) (FiberBundleCore ι B F) :=
   ⟨toFiberBundleCore⟩
@@ -623,6 +893,12 @@ instance toFiberBundleCoreCoe : Coe (VectorBundleCore R B F ι) (FiberBundleCore
 
 include Z
 
+/- warning: vector_bundle_core.coord_change_linear_comp -> VectorBundleCore.coordChange_linear_comp is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (i : ι) (j : ι) (k : ι) (x : B), (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) x (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (VectorBundleCore.baseSet.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (VectorBundleCore.baseSet.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z j)) (VectorBundleCore.baseSet.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z k))) -> (Eq.{succ u3} (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R 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(NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHomCompTriple.right_ids.{u1, u1} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))))) (VectorBundleCore.coordChange.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z j k x) (VectorBundleCore.coordChange.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i j x)) (VectorBundleCore.coordChange.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i k x))
+but is expected to have type
+  forall {R : Type.{u3}} {B : Type.{u4}} {F : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} R] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (i : ι) (j : ι) (k : ι) (x : B), (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) x (Inter.inter.{u4} (Set.{u4} B) (Set.instInterSet.{u4} B) (Inter.inter.{u4} (Set.{u4} B) (Set.instInterSet.{u4} B) (VectorBundleCore.baseSet.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (VectorBundleCore.baseSet.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z j)) (VectorBundleCore.baseSet.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z k))) -> (Eq.{succ u2} (ContinuousLinearMap.{u3, u3, u2, u2} R R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (ContinuousLinearMap.comp.{u3, u3, u3, u2, u2, u2} R R R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (RingHomCompTriple.ids.{u3, u3} R R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1)))))))) (VectorBundleCore.coordChange.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z j k x) (VectorBundleCore.coordChange.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i j x)) (VectorBundleCore.coordChange.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i k x))
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.coord_change_linear_comp VectorBundleCore.coordChange_linear_compₓ'. -/
 theorem coordChange_linear_comp (i j k : ι) :
     ∀ x ∈ Z.baseSet i ∩ Z.baseSet j ∩ Z.baseSet k,
       (Z.coordChange j k x).comp (Z.coordChange i j x) = Z.coordChange i k x :=
@@ -631,47 +907,74 @@ theorem coordChange_linear_comp (i j k : ι) :
   exact Z.coord_change_comp i j k x hx v
 #align vector_bundle_core.coord_change_linear_comp VectorBundleCore.coordChange_linear_comp
 
+/- warning: vector_bundle_core.index -> VectorBundleCore.Index is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u_1}} {B : Type.{u_2}} {F : Type.{u_3}} [_inst_1 : NontriviallyNormedField.{u_1} R] [_inst_4 : NormedAddCommGroup.{u_3} F] [_inst_5 : NormedSpace.{u_1, u_3} R F (NontriviallyNormedField.toNormedField.{u_1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F _inst_4)] [_inst_6 : TopologicalSpace.{u_2} B] {ι : Type.{u_5}}, (VectorBundleCore.{u_1, u_2, u_3, u_5} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) -> Type.{u_5}
+but is expected to have type
+  forall {R : Type.{u_1}}, Type.{u_1}
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.index VectorBundleCore.Indexₓ'. -/
 /-- The index set of a vector bundle core, as a convenience function for dot notation -/
 @[nolint unused_arguments has_nonempty_instance]
 def Index :=
   ι
 #align vector_bundle_core.index VectorBundleCore.Index
 
+/- warning: vector_bundle_core.base -> VectorBundleCore.Base is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u_1}} {B : Type.{u_2}} {F : Type.{u_3}} [_inst_1 : NontriviallyNormedField.{u_1} R] [_inst_4 : NormedAddCommGroup.{u_3} F] [_inst_5 : NormedSpace.{u_1, u_3} R F (NontriviallyNormedField.toNormedField.{u_1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u_3} F _inst_4)] [_inst_6 : TopologicalSpace.{u_2} B] {ι : Type.{u_5}}, (VectorBundleCore.{u_1, u_2, u_3, u_5} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) -> Type.{u_2}
+but is expected to have type
+  forall {R : Type.{u_1}}, Type.{u_1}
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.base VectorBundleCore.Baseₓ'. -/
 /-- The base space of a vector bundle core, as a convenience function for dot notation-/
 @[nolint unused_arguments, reducible]
 def Base :=
   B
 #align vector_bundle_core.base VectorBundleCore.Base
 
+#print VectorBundleCore.Fiber /-
 /-- The fiber of a vector bundle core, as a convenience function for dot notation and
 typeclass inference -/
 @[nolint unused_arguments has_nonempty_instance]
 def Fiber : B → Type _ :=
   Z.toFiberBundleCore.Fiber
 #align vector_bundle_core.fiber VectorBundleCore.Fiber
+-/
 
+#print VectorBundleCore.topologicalSpaceFiber /-
 instance topologicalSpaceFiber (x : B) : TopologicalSpace (Z.Fiber x) := by
   delta_instance vector_bundle_core.fiber
 #align vector_bundle_core.topological_space_fiber VectorBundleCore.topologicalSpaceFiber
+-/
 
 instance addCommMonoidFiber : ∀ x : B, AddCommMonoid (Z.Fiber x) := by
   dsimp [VectorBundleCore.Fiber] <;> delta_instance fiber_bundle_core.fiber
 #align vector_bundle_core.add_comm_monoid_fiber VectorBundleCore.addCommMonoidFiber
 
+#print VectorBundleCore.moduleFiber /-
 instance moduleFiber : ∀ x : B, Module R (Z.Fiber x) := by
   dsimp [VectorBundleCore.Fiber] <;> delta_instance fiber_bundle_core.fiber
 #align vector_bundle_core.module_fiber VectorBundleCore.moduleFiber
+-/
 
+/- warning: vector_bundle_core.add_comm_group_fiber -> VectorBundleCore.addCommGroupFiber is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) [_inst_10 : AddCommGroup.{u3} F] (x : B), AddCommGroup.{u3} (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x)
+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (_inst_10 : B), AddCommGroup.{u3} (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z _inst_10)
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.add_comm_group_fiber VectorBundleCore.addCommGroupFiberₓ'. -/
 instance addCommGroupFiber [AddCommGroup F] : ∀ x : B, AddCommGroup (Z.Fiber x) := by
   dsimp [VectorBundleCore.Fiber] <;> delta_instance fiber_bundle_core.fiber
 #align vector_bundle_core.add_comm_group_fiber VectorBundleCore.addCommGroupFiber
 
+#print VectorBundleCore.proj /-
 /-- The projection from the total space of a fiber bundle core, on its base. -/
 @[reducible, simp, mfld_simps]
 protected def proj : TotalSpace Z.Fiber → B :=
   TotalSpace.proj
 #align vector_bundle_core.proj VectorBundleCore.proj
+-/
 
+#print VectorBundleCore.TotalSpace /-
 /-- The total space of the vector bundle, as a convenience function for dot notation.
 It is by definition equal to `bundle.total_space Z.fiber`, a.k.a. `Σ x, Z.fiber x` but with a
 different name for typeclass inference. -/
@@ -679,38 +982,62 @@ different name for typeclass inference. -/
 protected def TotalSpace :=
   Bundle.TotalSpace Z.Fiber
 #align vector_bundle_core.total_space VectorBundleCore.TotalSpace
+-/
 
+/- warning: vector_bundle_core.triv_change -> VectorBundleCore.trivChange is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}}, (VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) -> ι -> ι -> (LocalHomeomorph.{max u2 u3, max u2 u3} (Prod.{u2, u3} B F) (Prod.{u2, u3} B F) (Prod.topologicalSpace.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (Prod.topologicalSpace.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))))
+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}}, (VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) -> ι -> ι -> (LocalHomeomorph.{max u3 u2, max u3 u2} (Prod.{u2, u3} B F) (Prod.{u2, u3} B F) (instTopologicalSpaceProd.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (instTopologicalSpaceProd.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))))
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.triv_change VectorBundleCore.trivChangeₓ'. -/
 /-- Local homeomorphism version of the trivialization change. -/
 def trivChange (i j : ι) : LocalHomeomorph (B × F) (B × F) :=
   FiberBundleCore.trivChange (↑Z) i j
 #align vector_bundle_core.triv_change VectorBundleCore.trivChange
 
+/- warning: vector_bundle_core.mem_triv_change_source -> VectorBundleCore.mem_trivChange_source is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (i : ι) (j : ι) (p : Prod.{u2, u3} B F), Iff (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} B F) (Set.{max u2 u3} (Prod.{u2, u3} B F)) (Set.hasMem.{max u2 u3} (Prod.{u2, u3} B F)) p (LocalEquiv.source.{max u2 u3, max u2 u3} (Prod.{u2, u3} B F) (Prod.{u2, u3} B F) (LocalHomeomorph.toLocalEquiv.{max u2 u3, max u2 u3} (Prod.{u2, u3} B F) (Prod.{u2, u3} B F) (Prod.topologicalSpace.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (Prod.topologicalSpace.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (VectorBundleCore.trivChange.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i j)))) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) (Prod.fst.{u2, u3} B F p) (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (VectorBundleCore.baseSet.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (VectorBundleCore.baseSet.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z j)))
+but is expected to have type
+  forall {R : Type.{u2}} {B : Type.{u4}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u2} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (i : ι) (j : ι) (p : Prod.{u4, u3} B F), Iff (Membership.mem.{max u4 u3, max u4 u3} (Prod.{u4, u3} B F) (Set.{max u4 u3} (Prod.{u4, u3} B F)) (Set.instMembershipSet.{max u4 u3} (Prod.{u4, u3} B F)) p (LocalEquiv.source.{max u4 u3, max u4 u3} (Prod.{u4, u3} B F) (Prod.{u4, u3} B F) (LocalHomeomorph.toLocalEquiv.{max u4 u3, max u4 u3} (Prod.{u4, u3} B F) (Prod.{u4, u3} B F) (instTopologicalSpaceProd.{u4, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (instTopologicalSpaceProd.{u4, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (VectorBundleCore.trivChange.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i j)))) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) (Prod.fst.{u4, u3} B F p) (Inter.inter.{u4} (Set.{u4} B) (Set.instInterSet.{u4} B) (VectorBundleCore.baseSet.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (VectorBundleCore.baseSet.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z j)))
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.mem_triv_change_source VectorBundleCore.mem_trivChange_sourceₓ'. -/
 @[simp, mfld_simps]
 theorem mem_trivChange_source (i j : ι) (p : B × F) :
     p ∈ (Z.trivChange i j).source ↔ p.1 ∈ Z.baseSet i ∩ Z.baseSet j :=
   FiberBundleCore.mem_trivChange_source (↑Z) i j p
 #align vector_bundle_core.mem_triv_change_source VectorBundleCore.mem_trivChange_source
 
+#print VectorBundleCore.toTopologicalSpace /-
 /-- Topological structure on the total space of a vector bundle created from core, designed so
 that all the local trivialization are continuous. -/
 instance toTopologicalSpace : TopologicalSpace Z.TotalSpace :=
   Z.toFiberBundleCore.toTopologicalSpace
 #align vector_bundle_core.to_topological_space VectorBundleCore.toTopologicalSpace
+-/
 
 variable (b : B) (a : F)
 
+/- warning: vector_bundle_core.coe_coord_change -> VectorBundleCore.coe_coordChange is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (b : B) (i : ι) (j : ι), Eq.{succ u3} (F -> F) (FiberBundleCore.coordChange.{u4, u2, u3} ι B _inst_6 F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toFiberBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) i j b) (coeFn.{succ u3, succ u3} (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R 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F) (ContinuousLinearMap.toFun.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F 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+but is expected to have type
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(NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u4} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u4} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)))) (VectorBundleCore.coordChange.{u1, u2, u4, u3} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i j b))
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.coe_coord_change VectorBundleCore.coe_coordChangeₓ'. -/
 @[simp, mfld_simps]
 theorem coe_coordChange (i j : ι) : Z.toFiberBundleCore.coordChange i j b = Z.coordChange i j b :=
   rfl
 #align vector_bundle_core.coe_coord_change VectorBundleCore.coe_coordChange
 
+#print VectorBundleCore.localTriv /-
 /-- One of the standard local trivializations of a vector bundle constructed from core, taken by
 considering this in particular as a fiber bundle constructed from core. -/
 def localTriv (i : ι) : Trivialization F (π Z.Fiber) := by
   dsimp [VectorBundleCore.TotalSpace, VectorBundleCore.Fiber] <;>
     exact Z.to_fiber_bundle_core.local_triv i
 #align vector_bundle_core.local_triv VectorBundleCore.localTriv
+-/
 
+#print VectorBundleCore.localTriv.isLinear /-
 /-- The standard local trivializations of a vector bundle constructed from core are linear. -/
 instance localTriv.isLinear (i : ι) : (Z.localTriv i).isLinear R
     where linear x hx := by
@@ -719,43 +1046,86 @@ instance localTriv.isLinear (i : ι) : (Z.localTriv i).isLinear R
         { map_add := fun v w => by simp only [ContinuousLinearMap.map_add, mfld_simps]
           map_smul := fun r v => by simp only [ContinuousLinearMap.map_smul, mfld_simps] }
 #align vector_bundle_core.local_triv.is_linear VectorBundleCore.localTriv.isLinear
+-/
 
 variable (i j : ι)
 
+/- warning: vector_bundle_core.mem_local_triv_source -> VectorBundleCore.mem_localTriv_source is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (i : ι) (p : VectorBundleCore.TotalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z), Iff (Membership.Mem.{max u2 u3, max u2 u3} (VectorBundleCore.TotalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Set.{max u2 u3} (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z))) (Set.hasMem.{max u2 u3} (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z))) p (LocalEquiv.source.{max u2 u3, max u2 u3} (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (Prod.{u2, u3} B F) (LocalHomeomorph.toLocalEquiv.{max u2 u3, max u2 u3} (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (Prod.{u2, u3} B F) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Prod.topologicalSpace.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (Trivialization.toLocalHomeomorph.{u2, u3, max u2 u3} B F (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (VectorBundleCore.localTriv.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i))))) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) (Sigma.fst.{u2, u3} B (fun (x : B) => VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) p) (VectorBundleCore.baseSet.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.mem_local_triv_source VectorBundleCore.mem_localTriv_sourceₓ'. -/
 @[simp, mfld_simps]
 theorem mem_localTriv_source (p : Z.TotalSpace) : p ∈ (Z.localTriv i).source ↔ p.1 ∈ Z.baseSet i :=
   by dsimp [VectorBundleCore.Fiber] <;> exact Iff.rfl
 #align vector_bundle_core.mem_local_triv_source VectorBundleCore.mem_localTriv_source
 
+/- warning: vector_bundle_core.base_set_at -> VectorBundleCore.baseSet_at is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (i : ι), Eq.{succ u2} (Set.{u2} B) (VectorBundleCore.baseSet.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (Trivialization.baseSet.{u2, u3, max u2 u3} B F (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (VectorBundleCore.localTriv.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i))
+but is expected to have type
+  forall {R : Type.{u3}} {B : Type.{u4}} {F : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} R] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (i : ι), Eq.{succ u4} (Set.{u4} B) (VectorBundleCore.baseSet.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (Trivialization.baseSet.{u4, u2, max u4 u2} B F (Bundle.TotalSpace.{u4, u2} B (VectorBundleCore.Fiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u4, u2} B (VectorBundleCore.Fiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (VectorBundleCore.localTriv.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i))
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.base_set_at VectorBundleCore.baseSet_atₓ'. -/
 @[simp, mfld_simps]
 theorem baseSet_at : Z.baseSet i = (Z.localTriv i).baseSet :=
   rfl
 #align vector_bundle_core.base_set_at VectorBundleCore.baseSet_at
 
+/- warning: vector_bundle_core.local_triv_apply -> VectorBundleCore.localTriv_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (i : ι) (p : VectorBundleCore.TotalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z), Eq.{max (succ u2) (succ u3)} (Prod.{u2, u3} B F) (coeFn.{max (succ u2) (succ u3) (succ (max u2 u3)), max (succ (max u2 u3)) (succ u2) (succ u3)} (Trivialization.{u2, u3, max u2 u3} B F (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F 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_inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => F -> F) (ContinuousLinearMap.toFun.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (VectorBundleCore.coordChange.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (VectorBundleCore.indexAt.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (Sigma.fst.{u2, u3} B (fun (x : B) => VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) p)) i (Sigma.fst.{u2, u3} B (fun (x : B) => VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) p)) (Sigma.snd.{u2, u3} B (fun (x : B) => VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) p)))
+but is expected to have type
+  forall {R : Type.{u4}} {B : Type.{u3}} {F : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u4} R] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u4, u3, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) {i : ι} (p : VectorBundleCore.TotalSpace.{u4, u3, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z), Eq.{max (succ u3) (succ u2)} (Prod.{u3, u2} B F) (Trivialization.toFun'.{u3, u2, max u3 u2} B F (Bundle.TotalSpace.{u3, u2} B (VectorBundleCore.Fiber.{u4, u3, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u2} B (VectorBundleCore.Fiber.{u4, u3, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (VectorBundleCore.toTopologicalSpace.{u4, u3, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.localTriv.{u4, u3, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) p) (Prod.mk.{u3, u2} B F (Sigma.fst.{u3, u2} B (fun (x : B) => VectorBundleCore.Fiber.{u4, u3, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) p) (FunLike.coe.{succ u2, succ u2, succ u2} (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) _x) (ContinuousMapClass.toFunLike.{u2, u2, u2} (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F 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(SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))) (VectorBundleCore.coordChange.{u4, u3, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (VectorBundleCore.indexAt.{u4, u3, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (Sigma.fst.{u3, u2} B (fun (x : B) => VectorBundleCore.Fiber.{u4, u3, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) p)) i (Sigma.fst.{u3, u2} B (fun (x : B) => VectorBundleCore.Fiber.{u4, u3, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) p)) (Sigma.snd.{u3, u2} B (fun (x : B) => VectorBundleCore.Fiber.{u4, u3, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) p)))
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_apply VectorBundleCore.localTriv_applyₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_apply (p : Z.TotalSpace) :
     (Z.localTriv i) p = ⟨p.1, Z.coordChange (Z.indexAt p.1) i p.1 p.2⟩ :=
   rfl
 #align vector_bundle_core.local_triv_apply VectorBundleCore.localTriv_apply
 
+/- warning: vector_bundle_core.mem_local_triv_target -> VectorBundleCore.mem_localTriv_target is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (i : ι) (p : Prod.{u2, u3} B F), Iff (Membership.Mem.{max u2 u3, max u2 u3} (Prod.{u2, u3} B F) (Set.{max u2 u3} (Prod.{u2, u3} B F)) (Set.hasMem.{max u2 u3} (Prod.{u2, u3} B F)) p (LocalEquiv.target.{max u2 u3, max u2 u3} (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (Prod.{u2, u3} B F) (LocalHomeomorph.toLocalEquiv.{max u2 u3, max u2 u3} (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (Prod.{u2, u3} B F) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Prod.topologicalSpace.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (Trivialization.toLocalHomeomorph.{u2, u3, max u2 u3} B F (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (VectorBundleCore.localTriv.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i))))) (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) (Prod.fst.{u2, u3} B F p) (Trivialization.baseSet.{u2, u3, max u2 u3} B F (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (VectorBundleCore.localTriv.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i)))
+but is expected to have type
+  forall {R : Type.{u2}} {B : Type.{u4}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u2} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (i : ι) (p : Prod.{u4, u3} B F), Iff (Membership.mem.{max u4 u3, max u4 u3} (Prod.{u4, u3} B F) (Set.{max u4 u3} (Prod.{u4, u3} B F)) (Set.instMembershipSet.{max u4 u3} (Prod.{u4, u3} B F)) p (LocalEquiv.target.{max u4 u3, max u4 u3} (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (Prod.{u4, u3} B F) (LocalHomeomorph.toLocalEquiv.{max u4 u3, max u4 u3} (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (Prod.{u4, u3} B F) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (instTopologicalSpaceProd.{u4, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (Trivialization.toLocalHomeomorph.{u4, u3, max u4 u3} B F (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (VectorBundleCore.localTriv.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i))))) (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) (Prod.fst.{u4, u3} B F p) (Trivialization.baseSet.{u4, u3, max u4 u3} B F (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (VectorBundleCore.localTriv.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i)))
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.mem_local_triv_target VectorBundleCore.mem_localTriv_targetₓ'. -/
 @[simp, mfld_simps]
 theorem mem_localTriv_target (p : B × F) :
     p ∈ (Z.localTriv i).target ↔ p.1 ∈ (Z.localTriv i).baseSet :=
   Z.toFiberBundleCore.mem_localTriv_target i p
 #align vector_bundle_core.mem_local_triv_target VectorBundleCore.mem_localTriv_target
 
+/- warning: vector_bundle_core.local_triv_symm_fst -> VectorBundleCore.localTriv_symm_fst is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (i : ι) (p : Prod.{u2, u3} B F), Eq.{max (succ u2) (succ u3)} (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (LocalHomeomorph.{max u2 u3, max u2 u3} (Prod.{u2, u3} B F) (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (Prod.topologicalSpace.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (fun (_x : LocalHomeomorph.{max u2 u3, max u2 u3} (Prod.{u2, u3} B F) (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (Prod.topologicalSpace.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) => (Prod.{u2, u3} B F) -> (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z))) (LocalHomeomorph.hasCoeToFun.{max u2 u3, max u2 u3} (Prod.{u2, u3} B F) (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 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(NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, 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(PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => F -> F) (ContinuousLinearMap.toFun.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (VectorBundleCore.coordChange.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i (VectorBundleCore.indexAt.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (Prod.fst.{u2, u3} B F p)) (Prod.fst.{u2, u3} B F p)) (Prod.snd.{u2, u3} B F p)))
+but is expected to have type
+  forall {R : Type.{u2}} {B : Type.{u4}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u2} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (i : ι) (p : Prod.{u4, u3} B F), Eq.{max (succ u4) (succ u3)} (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (LocalHomeomorph.toFun'.{max u4 u3, max u4 u3} (Prod.{u4, u3} B F) (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (instTopologicalSpaceProd.{u4, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (LocalHomeomorph.symm.{max u4 u3, max u4 u3} (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (Prod.{u4, u3} B F) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (instTopologicalSpaceProd.{u4, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (Trivialization.toLocalHomeomorph.{u4, u3, max u4 u3} B F (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (VectorBundleCore.localTriv.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i))) p) (Sigma.mk.{u4, u3} B (fun (x : B) => VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (Prod.fst.{u4, u3} B F p) (FunLike.coe.{succ u3, succ u3, succ u3} (ContinuousLinearMap.{u2, u2, u3, u3} R R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) _x) (ContinuousMapClass.toFunLike.{u3, u3, u3} (ContinuousLinearMap.{u2, u2, u3, u3} R R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) F F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u3, u2, u2, u3, u3} (ContinuousLinearMap.{u2, u2, u3, u3} R R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) R R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u3} R R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)))) (VectorBundleCore.coordChange.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i (VectorBundleCore.indexAt.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (Prod.fst.{u4, u3} B F p)) (Prod.fst.{u4, u3} B F p)) (Prod.snd.{u4, u3} B F p)))
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_symm_fst VectorBundleCore.localTriv_symm_fstₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_symm_fst (p : B × F) :
     (Z.localTriv i).toLocalHomeomorph.symm p = ⟨p.1, Z.coordChange i (Z.indexAt p.1) p.1 p.2⟩ :=
   rfl
 #align vector_bundle_core.local_triv_symm_fst VectorBundleCore.localTriv_symm_fst
 
+/- warning: vector_bundle_core.local_triv_symm_apply -> VectorBundleCore.localTriv_symm_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (i : ι) {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (VectorBundleCore.baseSet.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i)) -> (forall (v : F), Eq.{succ u3} (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (Trivialization.symm.{u2, u3, u3} B F (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (x : B) => AddZeroClass.toHasZero.{u3} (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (AddMonoid.toAddZeroClass.{u3} (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (SubNegMonoid.toAddMonoid.{u3} (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (AddGroup.toSubNegMonoid.{u3} (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (AddCommGroup.toAddGroup.{u3} (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (VectorBundleCore.addCommGroupFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) x)))))) (VectorBundleCore.localTriv.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) b v) (coeFn.{succ u3, succ u3} (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => F -> F) (ContinuousLinearMap.toFun.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (VectorBundleCore.coordChange.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i (VectorBundleCore.indexAt.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) b) v))
+but is expected to have type
+  forall {R : Type.{u3}} {B : Type.{u4}} {F : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} R] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (i : ι) {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (VectorBundleCore.baseSet.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i)) -> (forall (v : F), Eq.{succ u2} (VectorBundleCore.Fiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (Trivialization.symm.{u4, u2, u2} B F (VectorBundleCore.Fiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (x : B) => NegZeroClass.toZero.{u2} (VectorBundleCore.Fiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (SubNegZeroMonoid.toNegZeroClass.{u2} (VectorBundleCore.Fiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (SubtractionMonoid.toSubNegZeroMonoid.{u2} (VectorBundleCore.Fiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (SubtractionCommMonoid.toSubtractionMonoid.{u2} (VectorBundleCore.Fiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (AddCommGroup.toDivisionAddCommMonoid.{u2} (VectorBundleCore.Fiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (VectorBundleCore.addCommGroupFiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x)))))) (VectorBundleCore.localTriv.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) b v) (FunLike.coe.{succ u2, succ u2, succ u2} (ContinuousLinearMap.{u3, u3, u2, u2} R R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) _x) (ContinuousMapClass.toFunLike.{u2, u2, u2} (ContinuousLinearMap.{u3, u3, u2, u2} R R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) F F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, u3, u3, u2, u2} (ContinuousLinearMap.{u3, u3, u2, u2} R R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) R R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, u2, u2} R R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))) (VectorBundleCore.coordChange.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i (VectorBundleCore.indexAt.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) b) v))
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_symm_apply VectorBundleCore.localTriv_symm_applyₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_symm_apply {b : B} (hb : b ∈ Z.baseSet i) (v : F) :
     (Z.localTriv i).symm b v = Z.coordChange i (Z.indexAt b) b v := by
   apply (Z.local_triv i).symm_apply hb v
 #align vector_bundle_core.local_triv_symm_apply VectorBundleCore.localTriv_symm_apply
 
+/- warning: vector_bundle_core.local_triv_coord_change_eq -> VectorBundleCore.localTriv_coordChange_eq is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (i : ι) (j : ι) {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (VectorBundleCore.baseSet.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (VectorBundleCore.baseSet.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z j))) -> (forall (v : F), Eq.{succ u3} F (coeFn.{succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearEquiv.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => F -> F) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Trivialization.coordChangeL.{u1, u2, u3, u3} R B F (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => VectorBundleCore.addCommMonoidFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (fun (x : B) => VectorBundleCore.moduleFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (VectorBundleCore.localTriv.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (VectorBundleCore.localTriv.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z j) (VectorBundleCore.localTriv.isLinear.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (VectorBundleCore.localTriv.isLinear.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z j) b) v) (coeFn.{succ u3, succ u3} (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => F -> F) (ContinuousLinearMap.toFun.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (VectorBundleCore.coordChange.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i j b) v))
+but is expected to have type
+  forall {R : Type.{u3}} {B : Type.{u4}} {F : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} R] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (i : ι) (j : ι) {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Inter.inter.{u4} (Set.{u4} B) (Set.instInterSet.{u4} B) (VectorBundleCore.baseSet.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (VectorBundleCore.baseSet.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z j))) -> (forall (v : F), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) v) (FunLike.coe.{succ u2, succ u2, succ u2} (ContinuousLinearEquiv.{u3, u3, u2, u2} R R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) (RingHomInvPair.ids.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1)))))) (RingHomInvPair.ids.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) _x) (ContinuousMapClass.toFunLike.{u2, u2, u2} (ContinuousLinearEquiv.{u3, u3, u2, u2} R R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) (RingHomInvPair.ids.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1)))))) (RingHomInvPair.ids.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) F F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) 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(DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) (RingHomInvPair.ids.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1)))))) (RingHomInvPair.ids.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F 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(VectorBundleCore.localTriv.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (VectorBundleCore.localTriv.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z j) (VectorBundleCore.localTriv.isLinear.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (VectorBundleCore.localTriv.isLinear.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z j) b) v) (FunLike.coe.{succ u2, succ u2, succ u2} (ContinuousLinearMap.{u3, u3, u2, u2} R R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R 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F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, u2, u2} R R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))) (VectorBundleCore.coordChange.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i j b) v))
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_coord_change_eq VectorBundleCore.localTriv_coordChange_eqₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_coordChange_eq {b : B} (hb : b ∈ Z.baseSet i ∩ Z.baseSet j) (v : F) :
     (Z.localTriv i).coordChangeL R (Z.localTriv j) b v = Z.coordChange i j b v :=
@@ -764,17 +1134,31 @@ theorem localTriv_coordChange_eq {b : B} (hb : b ∈ Z.baseSet i ∩ Z.baseSet j
   exacts[⟨⟨hb.1, Z.mem_base_set_at b⟩, hb.2⟩, hb]
 #align vector_bundle_core.local_triv_coord_change_eq VectorBundleCore.localTriv_coordChange_eq
 
+#print VectorBundleCore.localTrivAt /-
 /-- Preferred local trivialization of a vector bundle constructed from core, at a given point, as
 a bundle trivialization -/
 def localTrivAt (b : B) : Trivialization F (π Z.Fiber) :=
   Z.localTriv (Z.indexAt b)
 #align vector_bundle_core.local_triv_at VectorBundleCore.localTrivAt
+-/
 
+/- warning: vector_bundle_core.local_triv_at_def -> VectorBundleCore.localTrivAt_def is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (b : B), Eq.{max (succ u2) (succ u3) (succ (max u2 u3))} (Trivialization.{u2, u3, max u2 u3} B F (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z))) (VectorBundleCore.localTriv.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (VectorBundleCore.indexAt.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b)) (VectorBundleCore.localTrivAt.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b)
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_at_def VectorBundleCore.localTrivAt_defₓ'. -/
 @[simp, mfld_simps]
 theorem localTrivAt_def : Z.localTriv (Z.indexAt b) = Z.localTrivAt b :=
   rfl
 #align vector_bundle_core.local_triv_at_def VectorBundleCore.localTrivAt_def
 
+/- warning: vector_bundle_core.mem_source_at -> VectorBundleCore.mem_source_at is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (b : B) (a : F), Membership.Mem.{max u2 u3, max u2 u3} (Sigma.{u2, u3} B (fun (x : B) => VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x)) (Set.{max u2 u3} (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z))) (Set.hasMem.{max u2 u3} (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z))) (Sigma.mk.{u2, u3} B (fun (x : B) => VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) b a) (LocalEquiv.source.{max u2 u3, max u2 u3} (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (Prod.{u2, u3} B F) (LocalHomeomorph.toLocalEquiv.{max u2 u3, max u2 u3} (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (Prod.{u2, u3} B F) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Prod.topologicalSpace.{u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (Trivialization.toLocalHomeomorph.{u2, u3, max u2 u3} B F (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (VectorBundleCore.localTrivAt.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b))))
+but is expected to have type
+  forall {R : Type.{u2}} {B : Type.{u4}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u2} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (b : B) (a : F), Membership.mem.{max u4 u3, max u4 u3} (Sigma.{u4, u3} B (fun (x : B) => VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x)) (Set.{max u4 u3} (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z))) (Set.instMembershipSet.{max u4 u3} (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z))) (Sigma.mk.{u4, u3} B (fun (x : B) => VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) b a) (LocalEquiv.source.{max u4 u3, max u4 u3} (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (Prod.{u4, u3} B F) (LocalHomeomorph.toLocalEquiv.{max u4 u3, max u4 u3} (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (Prod.{u4, u3} B F) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (instTopologicalSpaceProd.{u4, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))))) (Trivialization.toLocalHomeomorph.{u4, u3, max u4 u3} B F (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (VectorBundleCore.localTrivAt.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b))))
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.mem_source_at VectorBundleCore.mem_source_atₓ'. -/
 @[simp, mfld_simps]
 theorem mem_source_at : (⟨b, a⟩ : Z.TotalSpace) ∈ (Z.localTrivAt b).source :=
   by
@@ -782,25 +1166,46 @@ theorem mem_source_at : (⟨b, a⟩ : Z.TotalSpace) ∈ (Z.localTrivAt b).source
   exact Z.mem_base_set_at b
 #align vector_bundle_core.mem_source_at VectorBundleCore.mem_source_at
 
+/- warning: vector_bundle_core.local_triv_at_apply -> VectorBundleCore.localTrivAt_apply is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_at_apply VectorBundleCore.localTrivAt_applyₓ'. -/
 @[simp, mfld_simps]
 theorem localTrivAt_apply (p : Z.TotalSpace) : (Z.localTrivAt p.1) p = ⟨p.1, p.2⟩ :=
   FiberBundleCore.localTrivAt_apply Z p
 #align vector_bundle_core.local_triv_at_apply VectorBundleCore.localTrivAt_apply
 
+/- warning: vector_bundle_core.local_triv_at_apply_mk -> VectorBundleCore.localTrivAt_apply_mk is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {R : Type.{u2}} {B : Type.{u4}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u2} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (b : B) (a : F), Eq.{max (succ u4) (succ u3)} (Prod.{u4, u3} B F) (Trivialization.toFun'.{u4, u3, max u4 u3} B F (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.localTrivAt.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (Sigma.mk.{u4, u3} B (fun (x : B) => VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) b a)) (Prod.mk.{u4, u3} B F b a)
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_at_apply_mk VectorBundleCore.localTrivAt_apply_mkₓ'. -/
 @[simp, mfld_simps]
 theorem localTrivAt_apply_mk (b : B) (a : F) : (Z.localTrivAt b) ⟨b, a⟩ = ⟨b, a⟩ :=
   Z.localTrivAt_apply _
 #align vector_bundle_core.local_triv_at_apply_mk VectorBundleCore.localTrivAt_apply_mk
 
+/- warning: vector_bundle_core.mem_local_triv_at_base_set -> VectorBundleCore.mem_localTrivAt_baseSet is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (b : B), Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u3} B F (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (VectorBundleCore.localTrivAt.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b))
+but is expected to have type
+  forall {R : Type.{u2}} {B : Type.{u4}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u2} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) (b : B), Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u3} B F (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (VectorBundleCore.localTrivAt.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b))
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.mem_local_triv_at_base_set VectorBundleCore.mem_localTrivAt_baseSetₓ'. -/
 @[simp, mfld_simps]
 theorem mem_localTrivAt_baseSet : b ∈ (Z.localTrivAt b).baseSet :=
   FiberBundleCore.mem_localTrivAt_baseSet Z b
 #align vector_bundle_core.mem_local_triv_at_base_set VectorBundleCore.mem_localTrivAt_baseSet
 
+#print VectorBundleCore.fiberBundle /-
 instance fiberBundle : FiberBundle F Z.Fiber :=
   Z.toFiberBundleCore.FiberBundle
 #align vector_bundle_core.fiber_bundle VectorBundleCore.fiberBundle
+-/
 
+#print VectorBundleCore.vectorBundle /-
 instance vectorBundle : VectorBundle R F Z.Fiber
     where
   trivialization_linear' := by
@@ -812,13 +1217,26 @@ instance vectorBundle : VectorBundle R F Z.Fiber
     ext v
     exact Z.local_triv_coord_change_eq i i' hb v
 #align vector_bundle_core.vector_bundle VectorBundleCore.vectorBundle
+-/
 
+/- warning: vector_bundle_core.continuous_proj -> VectorBundleCore.continuous_proj is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι), Continuous.{max u2 u3, u2} (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) B (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_6 (VectorBundleCore.proj.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)
+but is expected to have type
+  forall {R : Type.{u2}} {B : Type.{u4}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u2} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι), Continuous.{max u4 u3, u4} (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) B (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_6 (VectorBundleCore.proj.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.continuous_proj VectorBundleCore.continuous_projₓ'. -/
 /-- The projection on the base of a vector bundle created from core is continuous -/
 @[continuity]
 theorem continuous_proj : Continuous Z.proj :=
   FiberBundleCore.continuous_proj Z
 #align vector_bundle_core.continuous_proj VectorBundleCore.continuous_proj
 
+/- warning: vector_bundle_core.is_open_map_proj -> VectorBundleCore.isOpenMap_proj is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι), IsOpenMap.{max u2 u3, u2} (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) B (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_6 (VectorBundleCore.proj.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)
+but is expected to have type
+  forall {R : Type.{u2}} {B : Type.{u4}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u2} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι), IsOpenMap.{max u4 u3, u4} (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) B (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_6 (VectorBundleCore.proj.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.is_open_map_proj VectorBundleCore.isOpenMap_projₓ'. -/
 /-- The projection on the base of a vector bundle created from core is an open map -/
 theorem isOpenMap_proj : IsOpenMap Z.proj :=
   FiberBundleCore.isOpenMap_proj Z
@@ -826,6 +1244,12 @@ theorem isOpenMap_proj : IsOpenMap Z.proj :=
 
 variable {i j}
 
+/- warning: vector_bundle_core.local_triv_continuous_linear_map_at -> VectorBundleCore.localTriv_continuousLinearMapAt is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) {i : ι} {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (VectorBundleCore.baseSet.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i)) -> (Eq.{succ u3} (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.addCommMonoidFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (VectorBundleCore.moduleFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Trivialization.continuousLinearMapAt.{u1, u2, u3, u3} R B F (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_1 (fun (x : B) => VectorBundleCore.addCommMonoidFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (fun (x : B) => VectorBundleCore.moduleFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) _inst_4 _inst_5 _inst_6 (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (x : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.localTriv.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (VectorBundleCore.localTriv.isLinear.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) b) (VectorBundleCore.coordChange.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (VectorBundleCore.indexAt.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) i b))
+but is expected to have type
+  forall {R : Type.{u3}} {B : Type.{u4}} {F : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} R] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) {i : ι} {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (VectorBundleCore.baseSet.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i)) -> (Eq.{succ u2} (ContinuousLinearMap.{u3, u3, u2, u2} R R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) (VectorBundleCore.Fiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.topologicalSpaceFiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (AddCommGroup.toAddCommMonoid.{u2} (VectorBundleCore.Fiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.addCommGroupFiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (VectorBundleCore.moduleFiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (Trivialization.continuousLinearMapAt.{u3, u4, u2, u2} R B F (VectorBundleCore.Fiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_1 (fun (x : B) => AddCommGroup.toAddCommMonoid.{u2} (VectorBundleCore.Fiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (VectorBundleCore.addCommGroupFiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x)) (fun (x : B) => VectorBundleCore.moduleFiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) _inst_4 _inst_5 _inst_6 (VectorBundleCore.toTopologicalSpace.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (x : B) => VectorBundleCore.topologicalSpaceFiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (VectorBundleCore.fiberBundle.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.localTriv.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (VectorBundleCore.localTriv.isLinear.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) b) (VectorBundleCore.coordChange.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (VectorBundleCore.indexAt.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) i b))
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_continuous_linear_map_at VectorBundleCore.localTriv_continuousLinearMapAtₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_continuousLinearMapAt {b : B} (hb : b ∈ Z.baseSet i) :
     (Z.localTriv i).continuousLinearMapAt R b = Z.coordChange (Z.indexAt b) i b :=
@@ -835,6 +1259,12 @@ theorem localTriv_continuousLinearMapAt {b : B} (hb : b ∈ Z.baseSet i) :
   exacts[rfl, hb]
 #align vector_bundle_core.local_triv_continuous_linear_map_at VectorBundleCore.localTriv_continuousLinearMapAt
 
+/- warning: vector_bundle_core.trivialization_at_continuous_linear_map_at -> VectorBundleCore.trivializationAt_continuousLinearMapAt is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) {b₀ : B} {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u3} B F (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (FiberBundle.trivializationAt.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀))) -> (Eq.{succ u3} (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.addCommMonoidFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) 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F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀) (trivialization_linear.{u1, u2, u3, u3} R B F (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_1 (fun (x : B) => VectorBundleCore.addCommMonoidFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (fun (x : B) => VectorBundleCore.moduleFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) _inst_4 _inst_5 _inst_6 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_inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀) (FiberBundle.trivializationAt.memTrivializationAtlas.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀)) b) (VectorBundleCore.coordChange.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (VectorBundleCore.indexAt.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.indexAt.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b₀) b))
+but is expected to have type
+  forall {R : Type.{u2}} {B : Type.{u4}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u2} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) {b₀ : B} {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u3} B F (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (FiberBundle.trivializationAt.{u4, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀))) -> (Eq.{succ u3} (ContinuousLinearMap.{u2, u2, u3, u3} R R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.topologicalSpaceFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (AddCommGroup.toAddCommMonoid.{u3} (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.addCommGroupFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (VectorBundleCore.moduleFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Trivialization.continuousLinearMapAt.{u2, u4, u3, u3} R B F (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_1 (fun (x : B) => AddCommGroup.toAddCommMonoid.{u3} (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (VectorBundleCore.addCommGroupFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x)) (fun (x : B) => VectorBundleCore.moduleFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) _inst_4 _inst_5 _inst_6 (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (FiberBundle.trivializationAt.{u4, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀) (trivialization_linear.{u2, u4, u3, u3} R B F (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_1 (fun (x : B) => AddCommGroup.toAddCommMonoid.{u3} (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (VectorBundleCore.addCommGroupFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x)) (fun (x : B) => VectorBundleCore.moduleFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) _inst_4 _inst_5 _inst_6 (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.vectorBundle.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (FiberBundle.trivializationAt.{u4, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀) (instMemTrivializationAtlasTrivializationAt.{u4, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀)) b) (VectorBundleCore.coordChange.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (VectorBundleCore.indexAt.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.indexAt.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b₀) b))
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.trivialization_at_continuous_linear_map_at VectorBundleCore.trivializationAt_continuousLinearMapAtₓ'. -/
 @[simp, mfld_simps]
 theorem trivializationAt_continuousLinearMapAt {b₀ b : B}
     (hb : b ∈ (trivializationAt F Z.Fiber b₀).baseSet) :
@@ -843,6 +1273,12 @@ theorem trivializationAt_continuousLinearMapAt {b₀ b : B}
   Z.localTriv_continuousLinearMapAt hb
 #align vector_bundle_core.trivialization_at_continuous_linear_map_at VectorBundleCore.trivializationAt_continuousLinearMapAt
 
+/- warning: vector_bundle_core.local_triv_symmL -> VectorBundleCore.localTriv_symmL is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) {i : ι} {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (VectorBundleCore.baseSet.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i)) -> (Eq.{succ u3} (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.addCommMonoidFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (VectorBundleCore.moduleFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b)) (Trivialization.symmL.{u1, u2, u3, u3} R B F (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_1 (fun (x : B) => VectorBundleCore.addCommMonoidFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (fun (x : B) => VectorBundleCore.moduleFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) _inst_4 _inst_5 _inst_6 (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (x : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.localTriv.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (VectorBundleCore.localTriv.isLinear.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) b) (VectorBundleCore.coordChange.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i (VectorBundleCore.indexAt.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) b))
+but is expected to have type
+  forall {R : Type.{u3}} {B : Type.{u4}} {F : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} R] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) {i : ι} {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (VectorBundleCore.baseSet.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i)) -> (Eq.{succ u2} (ContinuousLinearMap.{u3, u3, u2, u2} R R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (DivisionSemiring.toSemiring.{u3} R (Semifield.toDivisionSemiring.{u3} R (Field.toSemifield.{u3} R (NormedField.toField.{u3} R (NontriviallyNormedField.toNormedField.{u3} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (VectorBundleCore.Fiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.topologicalSpaceFiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (AddCommGroup.toAddCommMonoid.{u2} (VectorBundleCore.Fiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.addCommGroupFiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b)) (NormedSpace.toModule.{u3, u2} R F (NontriviallyNormedField.toNormedField.{u3} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (VectorBundleCore.moduleFiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b)) (Trivialization.symmL.{u3, u4, u2, u2} R B F (VectorBundleCore.Fiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_1 (fun (x : B) => AddCommGroup.toAddCommMonoid.{u2} (VectorBundleCore.Fiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (VectorBundleCore.addCommGroupFiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x)) (fun (x : B) => VectorBundleCore.moduleFiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) _inst_4 _inst_5 _inst_6 (VectorBundleCore.toTopologicalSpace.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (x : B) => VectorBundleCore.topologicalSpaceFiber.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (VectorBundleCore.fiberBundle.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.localTriv.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) (VectorBundleCore.localTriv.isLinear.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i) b) (VectorBundleCore.coordChange.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z i (VectorBundleCore.indexAt.{u3, u4, u2, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) b))
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.local_triv_symmL VectorBundleCore.localTriv_symmLₓ'. -/
 @[simp, mfld_simps]
 theorem localTriv_symmL {b : B} (hb : b ∈ Z.baseSet i) :
     (Z.localTriv i).symmL R b = Z.coordChange i (Z.indexAt b) b :=
@@ -852,12 +1288,24 @@ theorem localTriv_symmL {b : B} (hb : b ∈ Z.baseSet i) :
   exacts[rfl, hb]
 #align vector_bundle_core.local_triv_symmL VectorBundleCore.localTriv_symmL
 
+/- warning: vector_bundle_core.trivialization_at_symmL -> VectorBundleCore.trivializationAt_symmL is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) {b₀ : B} {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Trivialization.baseSet.{u2, u3, max u2 u3} B F (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (FiberBundle.trivializationAt.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀))) -> (Eq.{succ u3} (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.addCommMonoidFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (VectorBundleCore.moduleFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b)) (Trivialization.symmL.{u1, u2, u3, u3} R B F (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_1 (fun (x : B) => VectorBundleCore.addCommMonoidFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (fun (x : B) => VectorBundleCore.moduleFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) _inst_4 _inst_5 _inst_6 (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (FiberBundle.trivializationAt.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀) (trivialization_linear.{u1, u2, u3, u3} R B F (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_1 (fun (x : B) => VectorBundleCore.addCommMonoidFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (fun (x : B) => VectorBundleCore.moduleFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) _inst_4 _inst_5 _inst_6 (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.vectorBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (FiberBundle.trivializationAt.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀) (FiberBundle.trivializationAt.memTrivializationAtlas.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀)) b) (VectorBundleCore.coordChange.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (VectorBundleCore.indexAt.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b₀) (VectorBundleCore.indexAt.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) b))
+but is expected to have type
+  forall {R : Type.{u2}} {B : Type.{u4}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u2} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) {b₀ : B} {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Trivialization.baseSet.{u4, u3, max u4 u3} B F (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (FiberBundle.trivializationAt.{u4, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀))) -> (Eq.{succ u3} (ContinuousLinearMap.{u2, u2, u3, u3} R R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.topologicalSpaceFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (AddCommGroup.toAddCommMonoid.{u3} (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F 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B) => VectorBundleCore.topologicalSpaceFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (FiberBundle.trivializationAt.{u4, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀) (trivialization_linear.{u2, u4, u3, u3} R B F (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_1 (fun (x : B) => AddCommGroup.toAddCommMonoid.{u3} (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (VectorBundleCore.addCommGroupFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x)) (fun (x : B) => VectorBundleCore.moduleFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) _inst_4 _inst_5 _inst_6 (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.vectorBundle.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (FiberBundle.trivializationAt.{u4, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀) (instMemTrivializationAtlasTrivializationAt.{u4, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀)) b) (VectorBundleCore.coordChange.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (VectorBundleCore.indexAt.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b₀) (VectorBundleCore.indexAt.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) b))
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.trivialization_at_symmL VectorBundleCore.trivializationAt_symmLₓ'. -/
 @[simp, mfld_simps]
 theorem trivializationAt_symmL {b₀ b : B} (hb : b ∈ (trivializationAt F Z.Fiber b₀).baseSet) :
     (trivializationAt F Z.Fiber b₀).symmL R b = Z.coordChange (Z.indexAt b₀) (Z.indexAt b) b :=
   Z.localTriv_symmL hb
 #align vector_bundle_core.trivialization_at_symmL VectorBundleCore.trivializationAt_symmL
 
+/- warning: vector_bundle_core.trivialization_at_coord_change_eq -> VectorBundleCore.trivializationAt_coordChange_eq is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] {ι : Type.{u4}} (Z : VectorBundleCore.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) {b₀ : B} {b₁ : B} {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Trivialization.baseSet.{u2, u3, max u2 u3} B F (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (FiberBundle.trivializationAt.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀)) (Trivialization.baseSet.{u2, u3, max u2 u3} B F (Bundle.TotalSpace.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u2, u3} B (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (FiberBundle.trivializationAt.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₁)))) -> (forall (v : F), Eq.{succ u3} F (coeFn.{succ u3, succ u3} (ContinuousLinearEquiv.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Trivialization.coordChangeL.{u1, u2, u3, u3} R B F (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => VectorBundleCore.addCommMonoidFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (fun (x : B) => VectorBundleCore.moduleFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (FiberBundle.trivializationAt.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F 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(FiberBundle.trivializationAt.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀) (FiberBundle.trivializationAt.memTrivializationAtlas.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀)) (trivialization_linear.{u1, u2, u3, u3} R B F (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) _inst_1 (fun (x : B) => VectorBundleCore.addCommMonoidFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) (fun (x : B) => VectorBundleCore.moduleFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z x) _inst_4 _inst_5 _inst_6 (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.vectorBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (FiberBundle.trivializationAt.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₁) (FiberBundle.trivializationAt.memTrivializationAtlas.{u2, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F 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(NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => F -> F) (ContinuousLinearMap.toFun.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (VectorBundleCore.coordChange.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (VectorBundleCore.indexAt.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b₀) (VectorBundleCore.indexAt.{u1, u2, u3, u4} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b₁) b) v))
+but is expected to have type
+  forall {R : Type.{u2}} {B : Type.{u4}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u2} R] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u4} B] {ι : Type.{u1}} (Z : VectorBundleCore.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι) {b₀ : B} {b₁ : B} {b : B}, (Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) b (Inter.inter.{u4} (Set.{u4} B) (Set.instInterSet.{u4} B) (Trivialization.baseSet.{u4, u3, max u4 u3} B F (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (FiberBundle.trivializationAt.{u4, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₀)) (Trivialization.baseSet.{u4, u3, max u4 u3} B F (Bundle.TotalSpace.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (Bundle.TotalSpace.proj.{u4, u3} B (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z)) (FiberBundle.trivializationAt.{u4, u3, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (VectorBundleCore.Fiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (VectorBundleCore.toTopologicalSpace.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) (fun (b : B) => VectorBundleCore.topologicalSpaceFiber.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b) (VectorBundleCore.fiberBundle.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z) b₁)))) -> (forall (v : F), Eq.{succ u3} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) v) (FunLike.coe.{succ u3, succ u3, succ u3} (ContinuousLinearEquiv.{u2, u2, u3, u3} R R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) (RingHomInvPair.ids.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1)))))) (RingHomInvPair.ids.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) _x) (ContinuousMapClass.toFunLike.{u3, u3, u3} (ContinuousLinearEquiv.{u2, u2, u3, u3} R R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) (RingHomInvPair.ids.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1)))))) (RingHomInvPair.ids.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) F F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u3, u2, u2, u3, u3} (ContinuousLinearEquiv.{u2, u2, u3, u3} R R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) (RingHomInvPair.ids.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1)))))) (RingHomInvPair.ids.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) R R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) 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(Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) (RingHomInvPair.ids.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1)))))) (RingHomInvPair.ids.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F 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(NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) F F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u3, u2, u2, u3, u3} (ContinuousLinearMap.{u2, u2, u3, u3} R R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) R R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u3} R R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u2, u3} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)))) (VectorBundleCore.coordChange.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z (VectorBundleCore.indexAt.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b₀) (VectorBundleCore.indexAt.{u2, u4, u3, u1} R B F _inst_1 _inst_4 _inst_5 _inst_6 ι Z b₁) b) v))
+Case conversion may be inaccurate. Consider using '#align vector_bundle_core.trivialization_at_coord_change_eq VectorBundleCore.trivializationAt_coordChange_eqₓ'. -/
 @[simp, mfld_simps]
 theorem trivializationAt_coordChange_eq {b₀ b₁ b : B}
     (hb : b ∈ (trivializationAt F Z.Fiber b₀).baseSet ∩ (trivializationAt F Z.Fiber b₁).baseSet)
@@ -883,6 +1331,7 @@ open TopologicalSpace
 
 open VectorBundle
 
+#print VectorPrebundle /-
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (e e' «expr ∈ » pretrivialization_atlas) -/
 /-- This structure permits to define a vector bundle when trivializations are given as local
 equivalences but there is not yet a topology on the total space or the fibers.
@@ -909,24 +1358,39 @@ structure VectorPrebundle where
           ∀ (b : B) (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F),
             f b v = (e' (totalSpaceMk b (e.symm b v))).2
 #align vector_prebundle VectorPrebundle
+-/
 
 namespace VectorPrebundle
 
 variable {R E F}
 
+#print VectorPrebundle.coordChange /-
 /-- A randomly chosen coordinate change on a `vector_prebundle`, given by
   the field `exists_coord_change`. -/
 def coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) (b : B) : F →L[R] F :=
   Classical.choose (a.exists_coord_change e he e' he') b
 #align vector_prebundle.coord_change VectorPrebundle.coordChange
+-/
 
+/- warning: vector_prebundle.continuous_on_coord_change -> VectorPrebundle.continuousOn_coordChange is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] (a : VectorPrebundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) {e : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)} {e' : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)} (he : Membership.Mem.{max u2 u3 u2 u4, max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)) (Set.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) (Set.hasMem.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) e (VectorPrebundle.pretrivializationAtlas.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)) (he' : Membership.Mem.{max u2 u3 u2 u4, max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)) (Set.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) (Set.hasMem.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) e' (VectorPrebundle.pretrivializationAtlas.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)), ContinuousOn.{u2, u3} B (ContinuousLinearMap.{u1, u1, u3, u3} R R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) _inst_6 (ContinuousLinearMap.topologicalSpace.{u1, u1, u3, u3} R R (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (VectorPrebundle.coordChange.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a e e' he he') (Inter.inter.{u2} (Set.{u2} B) (Set.hasInter.{u2} B) (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E) e) (Pretrivialization.baseSet.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E) e'))
+but is expected to have type
+  forall {R : Type.{u4}} {B : Type.{u3}} {F : Type.{u2}} {E : B -> Type.{u1}} [_inst_1 : NontriviallyNormedField.{u4} R] [_inst_2 : forall (x : B), AddCommMonoid.{u1} (E x)] [_inst_3 : forall (x : B), Module.{u4, u1} R (E x) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] (a : VectorPrebundle.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) {e : Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)} {e' : Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)} (he : Membership.mem.{max (max u3 u2) u1, max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)) (Set.{max (max (max u3 u1) u2) u3} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) (Set.instMembershipSet.{max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) e (VectorPrebundle.pretrivializationAtlas.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)) (he' : Membership.mem.{max (max u3 u2) u1, max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)) (Set.{max (max (max u3 u1) u2) u3} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) (Set.instMembershipSet.{max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) e' (VectorPrebundle.pretrivializationAtlas.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)), ContinuousOn.{u3, u2} B (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) _inst_6 (ContinuousLinearMap.topologicalSpace.{u4, u4, u2, u2} R R (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F F (SeminormedAddCommGroup.toAddCommGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (SeminormedAddCommGroup.toAddCommGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4))) (VectorPrebundle.coordChange.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a e e' he he') (Inter.inter.{u3} (Set.{u3} B) (Set.instInterSet.{u3} B) (Pretrivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E) e) (Pretrivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E) e'))
+Case conversion may be inaccurate. Consider using '#align vector_prebundle.continuous_on_coord_change VectorPrebundle.continuousOn_coordChangeₓ'. -/
 theorem continuousOn_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) :
     ContinuousOn (a.coordChange he he') (e.baseSet ∩ e'.baseSet) :=
   (Classical.choose_spec (a.exists_coord_change e he e' he')).1
 #align vector_prebundle.continuous_on_coord_change VectorPrebundle.continuousOn_coordChange
 
+/- warning: vector_prebundle.coord_change_apply -> VectorPrebundle.coordChange_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] (a : VectorPrebundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) {e : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)} {e' : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)} (he : Membership.Mem.{max u2 u3 u2 u4, max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)) (Set.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) (Set.hasMem.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) e (VectorPrebundle.pretrivializationAtlas.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)) (he' : Membership.Mem.{max u2 u3 u2 u4, max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) 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(Bundle.TotalSpace.proj.{u2, u4} B E)) (fun (_x : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)) => (Bundle.TotalSpace.{u2, u4} B E) -> (Prod.{u2, u3} B F)) (Pretrivialization.hasCoeToFun.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)) e' (Bundle.totalSpaceMk.{u2, u4} B E b (Pretrivialization.symm.{u2, u3, u4} B F E _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (fun (x : B) => AddZeroClass.toHasZero.{u4} (E x) (AddMonoid.toAddZeroClass.{u4} (E x) (AddCommMonoid.toAddMonoid.{u4} (E x) (_inst_2 x)))) e b v)))))
+but is expected to have type
+  forall {R : Type.{u4}} {B : Type.{u3}} {F : Type.{u2}} {E : B -> Type.{u1}} [_inst_1 : NontriviallyNormedField.{u4} R] [_inst_2 : forall (x : B), AddCommMonoid.{u1} (E x)] [_inst_3 : forall (x : B), Module.{u4, u1} R (E x) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] (a : VectorPrebundle.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) {e : Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)} {e' : Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)} (he : Membership.mem.{max (max u3 u2) u1, max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)) (Set.{max (max (max u3 u1) u2) u3} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) (Set.instMembershipSet.{max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) e (VectorPrebundle.pretrivializationAtlas.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)) (he' : Membership.mem.{max (max u3 u2) u1, max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)) (Set.{max (max (max u3 u1) u2) u3} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) (Set.instMembershipSet.{max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) e' (VectorPrebundle.pretrivializationAtlas.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)) {b : B}, (Membership.mem.{u3, u3} B (Set.{u3} B) (Set.instMembershipSet.{u3} B) b (Inter.inter.{u3} (Set.{u3} B) (Set.instInterSet.{u3} B) (Pretrivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E) e) (Pretrivialization.baseSet.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E) e'))) -> (forall (v : F), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) v) (FunLike.coe.{succ u2, succ u2, succ u2} (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) _x) (ContinuousMapClass.toFunLike.{u2, u2, u2} (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) F F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, u4, u4, u2, u2} (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))) (VectorPrebundle.coordChange.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a e e' he he' b) v) (Prod.snd.{u3, u2} B F (Pretrivialization.toFun'.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E) e' (Bundle.totalSpaceMk.{u3, u1} B E b (Pretrivialization.symm.{u3, u2, u1} B F E _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (fun (x : B) => AddMonoid.toZero.{u1} (E x) (AddCommMonoid.toAddMonoid.{u1} (E x) (_inst_2 x))) e b v)))))
+Case conversion may be inaccurate. Consider using '#align vector_prebundle.coord_change_apply VectorPrebundle.coordChange_applyₓ'. -/
 theorem coordChange_apply (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
@@ -934,6 +1398,12 @@ theorem coordChange_apply (a : VectorPrebundle R F E) {e e' : Pretrivialization
   (Classical.choose_spec (a.exists_coord_change e he e' he')).2 b hb v
 #align vector_prebundle.coord_change_apply VectorPrebundle.coordChange_apply
 
+/- warning: vector_prebundle.mk_coord_change -> VectorPrebundle.mk_coordChange is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] (a : VectorPrebundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) {e : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)} {e' : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)} (he : Membership.Mem.{max u2 u3 u2 u4, max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)) (Set.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) (Set.hasMem.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) e (VectorPrebundle.pretrivializationAtlas.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)) (he' : Membership.Mem.{max u2 u3 u2 u4, max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)) (Set.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) (Set.hasMem.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) e' (VectorPrebundle.pretrivializationAtlas.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)) {b : B}, (Membership.Mem.{u2, u2} B (Set.{u2} B) (Set.hasMem.{u2} B) b (Inter.inter.{u2} (Set.{u2} B) 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(NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} 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(NontriviallyNormedField.toNormedField.{u1} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => F -> F) (ContinuousLinearMap.toFun.{u1, 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(SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (fun (x : B) => AddZeroClass.toHasZero.{u4} (E x) (AddMonoid.toAddZeroClass.{u4} (E x) (AddCommMonoid.toAddMonoid.{u4} (E x) (_inst_2 x)))) e b v))))
+but is expected to have type
+  forall {R : Type.{u4}} {B : Type.{u3}} {F : Type.{u2}} {E : B -> Type.{u1}} [_inst_1 : NontriviallyNormedField.{u4} R] [_inst_2 : forall (x : B), AddCommMonoid.{u1} (E x)] [_inst_3 : forall (x : B), Module.{u4, u1} R (E x) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] (a : VectorPrebundle.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) {e : Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F 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(UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) (Set.instMembershipSet.{max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) e (VectorPrebundle.pretrivializationAtlas.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)) (he' : Membership.mem.{max (max u3 u2) u1, max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F 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(AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => F) _x) (ContinuousMapClass.toFunLike.{u2, u2, u2} (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) F F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, u4, u4, u2, u2} (ContinuousLinearMap.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u4, u2, u2} R R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))) (VectorPrebundle.coordChange.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a e e' he he' b) v)) (Pretrivialization.toFun'.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E) e' (Bundle.totalSpaceMk.{u3, u1} B E b (Pretrivialization.symm.{u3, u2, u1} B F E _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (fun (x : B) => AddMonoid.toZero.{u1} (E x) (AddCommMonoid.toAddMonoid.{u1} (E x) (_inst_2 x))) e b v))))
+Case conversion may be inaccurate. Consider using '#align vector_prebundle.mk_coord_change VectorPrebundle.mk_coordChangeₓ'. -/
 theorem mk_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
@@ -947,6 +1417,7 @@ theorem mk_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (
 #align vector_prebundle.mk_coord_change VectorPrebundle.mk_coordChange
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print VectorPrebundle.toFiberPrebundle /-
 /-- Natural identification of `vector_prebundle` as a `fiber_prebundle`. -/
 def toFiberPrebundle (a : VectorPrebundle R F E) : FiberPrebundle F E :=
   { a with
@@ -970,12 +1441,16 @@ def toFiberPrebundle (a : VectorPrebundle R F E) : FiberPrebundle F E :=
       rw [a.mk_coord_change _ _ hb, e'.mk_symm hb.1]
       rfl }
 #align vector_prebundle.to_fiber_prebundle VectorPrebundle.toFiberPrebundle
+-/
 
+#print VectorPrebundle.totalSpaceTopology /-
 /-- Topology on the total space that will make the prebundle into a bundle. -/
 def totalSpaceTopology (a : VectorPrebundle R F E) : TopologicalSpace (TotalSpace E) :=
   a.toFiberPrebundle.totalSpaceTopology
 #align vector_prebundle.total_space_topology VectorPrebundle.totalSpaceTopology
+-/
 
+#print VectorPrebundle.trivializationOfMemPretrivializationAtlas /-
 /-- Promotion from a `trivialization` in the `pretrivialization_atlas` of a
 `vector_prebundle` to a `trivialization`. -/
 def trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R F E)
@@ -983,50 +1458,91 @@ def trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R F E)
     @Trivialization B F _ _ _ a.totalSpaceTopology (π E) :=
   a.toFiberPrebundle.trivializationOfMemPretrivializationAtlas he
 #align vector_prebundle.trivialization_of_mem_pretrivialization_atlas VectorPrebundle.trivializationOfMemPretrivializationAtlas
+-/
 
-theorem linear_of_mem_pretrivializationAtlas (a : VectorPrebundle R F E)
+/- warning: vector_prebundle.linear_of_mem_pretrivialization_atlas -> VectorPrebundle.linear_trivializationOfMemPretrivializationAtlas is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] (a : VectorPrebundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) {e : Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)} (he : Membership.Mem.{max u2 u3 u2 u4, max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E)) (Set.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) (Set.hasMem.{max u2 u3 u2 u4} (Pretrivialization.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E))) e (VectorPrebundle.pretrivializationAtlas.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)), Trivialization.IsLinear.{u1, u2, u3, u4} R B F E (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_6 (VectorPrebundle.totalSpaceTopology.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) (VectorPrebundle.trivializationOfMemPretrivializationAtlas.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a e he)
+but is expected to have type
+  forall {R : Type.{u4}} {B : Type.{u3}} {F : Type.{u2}} {E : B -> Type.{u1}} [_inst_1 : NontriviallyNormedField.{u4} R] [_inst_2 : forall (x : B), AddCommMonoid.{u1} (E x)] [_inst_3 : forall (x : B), Module.{u4, u1} R (E x) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] (a : VectorPrebundle.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) {e : Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)} (he : Membership.mem.{max (max u3 u2) u1, max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E)) (Set.{max (max (max u3 u1) u2) u3} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) (Set.instMembershipSet.{max (max u3 u2) u1} (Pretrivialization.{u3, u2, max u3 u1} B F (Bundle.TotalSpace.{u3, u1} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u1} B E))) e (VectorPrebundle.pretrivializationAtlas.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)), Trivialization.IsLinear.{u4, u3, u2, u1} R B F E (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_6 (VectorPrebundle.totalSpaceTopology.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) (VectorPrebundle.trivializationOfMemPretrivializationAtlas.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a e he)
+Case conversion may be inaccurate. Consider using '#align vector_prebundle.linear_of_mem_pretrivialization_atlas VectorPrebundle.linear_trivializationOfMemPretrivializationAtlasₓ'. -/
+theorem linear_trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R F E)
     {e : Pretrivialization F (π E)} (he : e ∈ a.pretrivializationAtlas) :
     @Trivialization.IsLinear R B F _ _ _ _ a.totalSpaceTopology _ _ _ _
       (trivializationOfMemPretrivializationAtlas a he) :=
   { linear := (a.pretrivialization_linear' e he).linear }
-#align vector_prebundle.linear_of_mem_pretrivialization_atlas VectorPrebundle.linear_of_mem_pretrivializationAtlas
+#align vector_prebundle.linear_of_mem_pretrivialization_atlas VectorPrebundle.linear_trivializationOfMemPretrivializationAtlas
 
 variable (a : VectorPrebundle R F E)
 
+/- warning: vector_prebundle.mem_trivialization_at_source -> VectorPrebundle.mem_trivialization_at_source is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] (a : VectorPrebundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) (b : B) (x : E b), Membership.Mem.{max u2 u4, max u2 u4} (Bundle.TotalSpace.{u2, u4} B (fun (b : B) => E b)) (Set.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)) (Set.hasMem.{max u2 u4} (Bundle.TotalSpace.{u2, u4} B E)) (Bundle.totalSpaceMk.{u2, u4} B (fun (b : B) => E b) b x) (LocalEquiv.source.{max u2 u4, max u2 u3} (Bundle.TotalSpace.{u2, u4} B E) (Prod.{u2, u3} B F) (Pretrivialization.toLocalEquiv.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E) (VectorPrebundle.pretrivializationAt.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a b)))
+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u3}} {F : Type.{u2}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] (a : VectorPrebundle.{u1, u3, u2, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) (b : B) (x : E b), Membership.mem.{max u4 u3, max u3 u4} (Bundle.TotalSpace.{u3, u4} B E) (Set.{max u3 u4} (Bundle.TotalSpace.{u3, u4} B E)) (Set.instMembershipSet.{max u3 u4} (Bundle.TotalSpace.{u3, u4} B E)) (Bundle.totalSpaceMk.{u3, u4} B E b x) (LocalEquiv.source.{max u3 u4, max u3 u2} (Bundle.TotalSpace.{u3, u4} B E) (Prod.{u3, u2} B F) (Pretrivialization.toLocalEquiv.{u3, u2, max u3 u4} B F (Bundle.TotalSpace.{u3, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u4} B E) (VectorPrebundle.pretrivializationAt.{u1, u3, u2, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a b)))
+Case conversion may be inaccurate. Consider using '#align vector_prebundle.mem_trivialization_at_source VectorPrebundle.mem_trivialization_at_sourceₓ'. -/
 theorem mem_trivialization_at_source (b : B) (x : E b) :
     totalSpaceMk b x ∈ (a.pretrivializationAt b).source :=
   a.toFiberPrebundle.mem_pretrivializationAt_source b x
 #align vector_prebundle.mem_trivialization_at_source VectorPrebundle.mem_trivialization_at_source
 
+/- warning: vector_prebundle.total_space_mk_preimage_source -> VectorPrebundle.totalSpaceMk_preimage_source is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] (a : VectorPrebundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) (b : B), Eq.{succ u4} (Set.{u4} (E b)) (Set.preimage.{u4, max u2 u4} (E b) (Bundle.TotalSpace.{u2, u4} B E) (Bundle.totalSpaceMk.{u2, u4} B E b) (LocalEquiv.source.{max u2 u4, max u2 u3} (Bundle.TotalSpace.{u2, u4} B E) (Prod.{u2, u3} B F) (Pretrivialization.toLocalEquiv.{u2, u3, max u2 u4} B F (Bundle.TotalSpace.{u2, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (Bundle.TotalSpace.proj.{u2, u4} B E) (VectorPrebundle.pretrivializationAt.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a b)))) (Set.univ.{u4} (E b))
+but is expected to have type
+  forall {R : Type.{u1}} {B : Type.{u3}} {F : Type.{u2}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R (NormedField.toField.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] (a : VectorPrebundle.{u1, u3, u2, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) (b : B), Eq.{succ u4} (Set.{u4} (E b)) (Set.preimage.{u4, max u3 u4} (E b) (Bundle.TotalSpace.{u3, u4} B E) (Bundle.totalSpaceMk.{u3, u4} B E b) (LocalEquiv.source.{max u3 u4, max u3 u2} (Bundle.TotalSpace.{u3, u4} B E) (Prod.{u3, u2} B F) (Pretrivialization.toLocalEquiv.{u3, u2, max u3 u4} B F (Bundle.TotalSpace.{u3, u4} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (Bundle.TotalSpace.proj.{u3, u4} B E) (VectorPrebundle.pretrivializationAt.{u1, u3, u2, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a b)))) (Set.univ.{u4} (E b))
+Case conversion may be inaccurate. Consider using '#align vector_prebundle.total_space_mk_preimage_source VectorPrebundle.totalSpaceMk_preimage_sourceₓ'. -/
 @[simp]
 theorem totalSpaceMk_preimage_source (b : B) :
     totalSpaceMk b ⁻¹' (a.pretrivializationAt b).source = univ :=
   a.toFiberPrebundle.totalSpaceMk_preimage_source b
 #align vector_prebundle.total_space_mk_preimage_source VectorPrebundle.totalSpaceMk_preimage_source
 
+#print VectorPrebundle.fiberTopology /-
 /-- Topology on the fibers `E b` induced by the map `E b → E.total_space`. -/
 def fiberTopology (b : B) : TopologicalSpace (E b) :=
   a.toFiberPrebundle.fiberTopology b
 #align vector_prebundle.fiber_topology VectorPrebundle.fiberTopology
+-/
 
+/- warning: vector_prebundle.inducing_total_space_mk -> VectorPrebundle.inducing_totalSpaceMk is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] (a : VectorPrebundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) (b : B), Inducing.{u4, max u2 u4} (E b) (Bundle.TotalSpace.{u2, u4} B E) (VectorPrebundle.fiberTopology.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a b) (VectorPrebundle.totalSpaceTopology.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a) (Bundle.totalSpaceMk.{u2, u4} B E b)
+but is expected to have type
+  forall {R : Type.{u2}} {B : Type.{u3}} {F : Type.{u1}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u2, u4} R (E x) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] (a : VectorPrebundle.{u2, u3, u1, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) (b : B), Inducing.{u4, max u3 u4} (E b) (Bundle.TotalSpace.{u3, u4} B E) (VectorPrebundle.fiberTopology.{u2, u3, u1, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a b) (VectorPrebundle.totalSpaceTopology.{u2, u3, u1, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a) (Bundle.totalSpaceMk.{u3, u4} B E b)
+Case conversion may be inaccurate. Consider using '#align vector_prebundle.inducing_total_space_mk VectorPrebundle.inducing_totalSpaceMkₓ'. -/
 @[continuity]
 theorem inducing_totalSpaceMk (b : B) :
     @Inducing _ _ (a.fiberTopology b) a.totalSpaceTopology (totalSpaceMk b) :=
   a.toFiberPrebundle.inducing_totalSpaceMk b
 #align vector_prebundle.inducing_total_space_mk VectorPrebundle.inducing_totalSpaceMk
 
+/- warning: vector_prebundle.continuous_total_space_mk -> VectorPrebundle.continuous_totalSpaceMk is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] (a : VectorPrebundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) (b : B), Continuous.{u4, max u2 u4} (E b) (Bundle.TotalSpace.{u2, u4} B E) (VectorPrebundle.fiberTopology.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a b) (VectorPrebundle.totalSpaceTopology.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a) (Bundle.totalSpaceMk.{u2, u4} B E b)
+but is expected to have type
+  forall {R : Type.{u2}} {B : Type.{u3}} {F : Type.{u1}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u2, u4} R (E x) (DivisionSemiring.toSemiring.{u2} R (Semifield.toDivisionSemiring.{u2} R (Field.toSemifield.{u2} R (NormedField.toField.{u2} R (NontriviallyNormedField.toNormedField.{u2} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} R F (NontriviallyNormedField.toNormedField.{u2} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] (a : VectorPrebundle.{u2, u3, u1, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6) (b : B), Continuous.{u4, max u3 u4} (E b) (Bundle.TotalSpace.{u3, u4} B E) (VectorPrebundle.fiberTopology.{u2, u3, u1, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a b) (VectorPrebundle.totalSpaceTopology.{u2, u3, u1, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a) (Bundle.totalSpaceMk.{u3, u4} B E b)
+Case conversion may be inaccurate. Consider using '#align vector_prebundle.continuous_total_space_mk VectorPrebundle.continuous_totalSpaceMkₓ'. -/
 @[continuity]
 theorem continuous_totalSpaceMk (b : B) :
     @Continuous _ _ (a.fiberTopology b) a.totalSpaceTopology (totalSpaceMk b) :=
   a.toFiberPrebundle.continuous_totalSpaceMk b
 #align vector_prebundle.continuous_total_space_mk VectorPrebundle.continuous_totalSpaceMk
 
+#print VectorPrebundle.toFiberBundle /-
 /-- Make a `fiber_bundle` from a `vector_prebundle`; auxiliary construction for
 `vector_prebundle.vector_bundle`. -/
 def toFiberBundle : @FiberBundle B F _ _ _ a.totalSpaceTopology a.fiberTopology :=
   a.toFiberPrebundle.toFiberBundle
 #align vector_prebundle.to_fiber_bundle VectorPrebundle.toFiberBundle
+-/
 
+/- warning: vector_prebundle.to_vector_bundle -> VectorPrebundle.to_vectorBundle is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {B : Type.{u2}} {F : Type.{u3}} {E : B -> Type.{u4}} [_inst_1 : NontriviallyNormedField.{u1} R] [_inst_2 : forall (x : B), AddCommMonoid.{u4} (E x)] [_inst_3 : forall (x : B), Module.{u1, u4} R (E x) (Ring.toSemiring.{u1} R (NormedRing.toRing.{u1} R (NormedCommRing.toNormedRing.{u1} R (NormedField.toNormedCommRing.{u1} R (NontriviallyNormedField.toNormedField.{u1} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} R F (NontriviallyNormedField.toNormedField.{u1} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_6 : TopologicalSpace.{u2} B] (a : VectorPrebundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6), VectorBundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 (VectorPrebundle.totalSpaceTopology.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a) (VectorPrebundle.fiberTopology.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a) (VectorPrebundle.toFiberBundle.{u1, u2, u3, u4} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)
+but is expected to have type
+  forall {R : Type.{u4}} {B : Type.{u3}} {F : Type.{u2}} {E : B -> Type.{u1}} [_inst_1 : NontriviallyNormedField.{u4} R] [_inst_2 : forall (x : B), AddCommMonoid.{u1} (E x)] [_inst_3 : forall (x : B), Module.{u4, u1} R (E x) (DivisionSemiring.toSemiring.{u4} R (Semifield.toDivisionSemiring.{u4} R (Field.toSemifield.{u4} R (NormedField.toField.{u4} R (NontriviallyNormedField.toNormedField.{u4} R _inst_1))))) (_inst_2 x)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} R F (NontriviallyNormedField.toNormedField.{u4} R _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_6 : TopologicalSpace.{u3} B] (a : VectorPrebundle.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6), VectorBundle.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 (VectorPrebundle.totalSpaceTopology.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a) (VectorPrebundle.fiberTopology.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a) (VectorPrebundle.toFiberBundle.{u4, u3, u2, u1} R B F E _inst_1 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_3 x) _inst_4 _inst_5 _inst_6 a)
+Case conversion may be inaccurate. Consider using '#align vector_prebundle.to_vector_bundle VectorPrebundle.to_vectorBundleₓ'. -/
 /-- Make a `vector_bundle` from a `vector_prebundle`.  Concretely this means
 that, given a `vector_prebundle` structure for a sigma-type `E` -- which consists of a
 number of "pretrivializations" identifying parts of `E` with product spaces `U × F` -- one
@@ -1070,6 +1586,7 @@ variable [∀ x, TopologicalSpace (E' x)] [FiberBundle F' E'] [VectorBundle 𝕜
 
 variable (F E F' E')
 
+#print ContinuousLinearMap.inCoordinates /-
 /-- When `ϕ` is a continuous (semi)linear map between the fibers `E x` and `E' y` of two vector
 bundles `E` and `E'`, `continuous_linear_map.in_coordinates F E F' E' x₀ x y₀ y ϕ` is a coordinate
 change of this continuous linear map w.r.t. the chart around `x₀` and the chart around `y₀`.
@@ -1090,9 +1607,16 @@ def inCoordinates (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y) : F →SL
   ((trivializationAt F' E' y₀).continuousLinearMapAt 𝕜₂ y).comp <|
     ϕ.comp <| (trivializationAt F E x₀).symmL 𝕜₁ x
 #align continuous_linear_map.in_coordinates ContinuousLinearMap.inCoordinates
+-/
 
 variable {F F'}
 
+/- warning: continuous_linear_map.in_coordinates_eq -> ContinuousLinearMap.inCoordinates_eq is a dubious translation:
+lean 3 declaration is
+  forall {B : Type.{u1}} {F : Type.{u2}} (E : B -> Type.{u3}) [_inst_2 : forall (x : B), AddCommMonoid.{u3} (E x)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_6 : TopologicalSpace.{u1} B] {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u5}} [_inst_7 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_8 : NontriviallyNormedField.{u5} 𝕜₂] {σ : RingHom.{u4, u5} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₁ (Ring.toNonAssocRing.{u4} 𝕜₁ (NormedRing.toRing.{u4} 𝕜₁ (NormedCommRing.toNormedRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_7)))))) (NonAssocRing.toNonAssocSemiring.{u5} 𝕜₂ (Ring.toNonAssocRing.{u5} 𝕜₂ (NormedRing.toRing.{u5} 𝕜₂ (NormedCommRing.toNormedRing.{u5} 𝕜₂ (NormedField.toNormedCommRing.{u5} 𝕜₂ (NontriviallyNormedField.toNormedField.{u5} 𝕜₂ _inst_8))))))} {B' : Type.{u6}} [_inst_9 : TopologicalSpace.{u6} B'] [_inst_10 : NormedSpace.{u4, u2} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] [_inst_11 : forall (x : B), Module.{u4, u3} 𝕜₁ (E x) (Ring.toSemiring.{u4} 𝕜₁ (NormedRing.toRing.{u4} 𝕜₁ (NormedCommRing.toNormedRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_7))))) (_inst_2 x)] [_inst_12 : TopologicalSpace.{max u1 u3} (Bundle.TotalSpace.{u1, u3} B E)] {F' : Type.{u7}} [_inst_13 : NormedAddCommGroup.{u7} F'] [_inst_14 : NormedSpace.{u5, u7} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u5} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u7} F' _inst_13)] (E' : B' -> Type.{u8}) [_inst_15 : forall (x : B'), AddCommMonoid.{u8} (E' x)] [_inst_16 : forall (x : B'), Module.{u5, u8} 𝕜₂ (E' x) (Ring.toSemiring.{u5} 𝕜₂ (NormedRing.toRing.{u5} 𝕜₂ (NormedCommRing.toNormedRing.{u5} 𝕜₂ (NormedField.toNormedCommRing.{u5} 𝕜₂ (NontriviallyNormedField.toNormedField.{u5} 𝕜₂ _inst_8))))) (_inst_15 x)] [_inst_17 : TopologicalSpace.{max u6 u8} (Bundle.TotalSpace.{u6, u8} B' E')] [_inst_18 : forall (x : B), TopologicalSpace.{u3} (E x)] [_inst_19 : FiberBundle.{u1, u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b)] [_inst_20 : VectorBundle.{u4, u1, u2, u3} 𝕜₁ B F E _inst_7 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_11 x) _inst_4 _inst_10 _inst_6 _inst_12 (fun (x : B) => _inst_18 x) _inst_19] [_inst_21 : forall (x : B'), TopologicalSpace.{u8} (E' x)] [_inst_22 : FiberBundle.{u6, u7, u8} B' F' _inst_9 (UniformSpace.toTopologicalSpace.{u7} F' (PseudoMetricSpace.toUniformSpace.{u7} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u7} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u7} F' _inst_13)))) E' _inst_17 (fun (b : B') => _inst_21 b)] [_inst_23 : VectorBundle.{u5, u6, u7, u8} 𝕜₂ B' F' E' _inst_8 (fun (x : B') => _inst_15 x) (fun (x : B') => _inst_16 x) _inst_13 _inst_14 _inst_9 _inst_17 (fun (x : B') => _inst_21 x) _inst_22] (x₀ : B) (x : B) (y₀ : B') (y : B') (ϕ : ContinuousLinearMap.{u4, u5, u3, u8} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u4} 𝕜₁ (NormedRing.toRing.{u4} 𝕜₁ (NormedCommRing.toNormedRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u5} 𝕜₂ (NormedRing.toRing.{u5} 𝕜₂ (NormedCommRing.toNormedRing.{u5} 𝕜₂ (NormedField.toNormedCommRing.{u5} 𝕜₂ (NontriviallyNormedField.toNormedField.{u5} 𝕜₂ _inst_8))))) σ (E x) (_inst_18 x) (_inst_2 x) (E' y) (_inst_21 y) (_inst_15 y) (_inst_11 x) (_inst_16 y)) (hx : Membership.Mem.{u1, u1} B (Set.{u1} B) (Set.hasMem.{u1} B) x (Trivialization.baseSet.{u1, u2, max u1 u3} B F (Bundle.TotalSpace.{u1, u3} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) _inst_12 (Bundle.TotalSpace.proj.{u1, u3} B E) (FiberBundle.trivializationAt.{u1, u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b) _inst_19 x₀))) (hy : Membership.Mem.{u6, u6} B' (Set.{u6} B') (Set.hasMem.{u6} B') y (Trivialization.baseSet.{u6, u7, max u6 u8} B' F' (Bundle.TotalSpace.{u6, u8} B' E') _inst_9 (UniformSpace.toTopologicalSpace.{u7} F' (PseudoMetricSpace.toUniformSpace.{u7} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u7} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u7} F' _inst_13)))) _inst_17 (Bundle.TotalSpace.proj.{u6, u8} B' E') (FiberBundle.trivializationAt.{u6, u7, u8} B' F' _inst_9 (UniformSpace.toTopologicalSpace.{u7} F' (PseudoMetricSpace.toUniformSpace.{u7} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u7} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u7} F' _inst_13)))) E' _inst_17 (fun (b : B') => _inst_21 b) _inst_22 y₀))), Eq.{max (succ u2) (succ u7)} (ContinuousLinearMap.{u4, u5, u2, u7} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u4} 𝕜₁ (NormedRing.toRing.{u4} 𝕜₁ (NormedCommRing.toNormedRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u5} 𝕜₂ (NormedRing.toRing.{u5} 𝕜₂ (NormedCommRing.toNormedRing.{u5} 𝕜₂ (NormedField.toNormedCommRing.{u5} 𝕜₂ (NontriviallyNormedField.toNormedField.{u5} 𝕜₂ _inst_8))))) σ F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u7} F' (PseudoMetricSpace.toUniformSpace.{u7} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u7} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u7} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u7} F' (NormedAddCommGroup.toAddCommGroup.{u7} F' _inst_13)) (NormedSpace.toModule.{u4, u2} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_10) (NormedSpace.toModule.{u5, u7} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u5} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u7} F' _inst_13) _inst_14)) (ContinuousLinearMap.inCoordinates.{u1, u2, u3, u4, u5, u6, u7, u8} B F E (fun (x : B) => _inst_2 x) _inst_4 _inst_6 𝕜₁ 𝕜₂ _inst_7 _inst_8 σ B' _inst_9 _inst_10 (fun (x : B) => _inst_11 x) _inst_12 F' _inst_13 _inst_14 E' (fun (x : B') => _inst_15 x) (fun (y : B') => _inst_16 y) _inst_17 (fun (b : B) => _inst_18 b) _inst_19 _inst_20 (fun (b : B') => _inst_21 b) _inst_22 _inst_23 x₀ x y₀ y ϕ) (ContinuousLinearMap.comp.{u4, u5, u5, u2, u8, u7} 𝕜₁ 𝕜₂ 𝕜₂ 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_inst_18 x) _inst_19 (FiberBundle.trivializationAt.{u1, u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b) _inst_19 x₀) (trivialization_linear.{u4, u1, u2, u3} 𝕜₁ B F E _inst_7 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_11 x) _inst_4 _inst_10 _inst_6 _inst_12 (fun (b : B) => _inst_18 b) _inst_19 _inst_20 (FiberBundle.trivializationAt.{u1, u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b) _inst_19 x₀) (FiberBundle.trivializationAt.memTrivializationAtlas.{u1, u2, u3} B F _inst_6 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b) _inst_19 x₀)) x hx)))))
+but is expected to have type
+  forall {B : Type.{u4}} {F : Type.{u3}} (E : B -> Type.{u6}) [_inst_2 : forall (x : B), AddCommMonoid.{u6} (E x)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_6 : TopologicalSpace.{u4} B] {𝕜₁ : Type.{u8}} {𝕜₂ : Type.{u7}} [_inst_7 : NontriviallyNormedField.{u8} 𝕜₁] [_inst_8 : NontriviallyNormedField.{u7} 𝕜₂] {σ : RingHom.{u8, u7} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7)))))) (Semiring.toNonAssocSemiring.{u7} 𝕜₂ (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))))} {B' : Type.{u2}} [_inst_9 : TopologicalSpace.{u2} B'] [_inst_10 : NormedSpace.{u8, u3} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : forall (x : B), Module.{u8, u6} 𝕜₁ (E x) (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (_inst_2 x)] [_inst_12 : TopologicalSpace.{max u6 u4} (Bundle.TotalSpace.{u4, u6} B E)] (F' : Type.{u1}) [_inst_13 : NormedAddCommGroup.{u1} F'] [_inst_14 : NormedSpace.{u7, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)] (E' : B' -> Type.{u5}) [_inst_15 : forall (x : B'), AddCommMonoid.{u5} (E' x)] [_inst_16 : forall (x : B'), Module.{u7, u5} 𝕜₂ (E' x) (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) (_inst_15 x)] [_inst_17 : TopologicalSpace.{max u5 u2} (Bundle.TotalSpace.{u2, u5} B' E')] [_inst_18 : forall (x : B), TopologicalSpace.{u6} (E x)] [_inst_19 : FiberBundle.{u4, u3, u6} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b)] [_inst_20 : VectorBundle.{u8, u4, u3, u6} 𝕜₁ B F E _inst_7 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_11 x) _inst_4 _inst_10 _inst_6 _inst_12 (fun (x : B) => _inst_18 x) _inst_19] [_inst_21 : forall (x : B'), TopologicalSpace.{u5} (E' x)] [_inst_22 : FiberBundle.{u2, u1, u5} B' F' _inst_9 (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) E' _inst_17 (fun (b : B') => _inst_21 b)] [_inst_23 : VectorBundle.{u7, u2, u1, u5} 𝕜₂ B' F' E' _inst_8 (fun (x : B') => _inst_15 x) (fun (x : B') => _inst_16 x) _inst_13 _inst_14 _inst_9 _inst_17 (fun (x : B') => _inst_21 x) _inst_22] (x₀ : B) (x : B) (y₀ : B') (y : B') (ϕ : ContinuousLinearMap.{u8, u7, u6, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) σ (E x) (_inst_18 x) (_inst_2 x) (E' y) (_inst_21 y) (_inst_15 y) (_inst_11 x) (_inst_16 y)) (hx : Membership.mem.{u4, u4} B (Set.{u4} B) (Set.instMembershipSet.{u4} B) x (Trivialization.baseSet.{u4, u3, max u4 u6} B F (Bundle.TotalSpace.{u4, u6} B E) _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) _inst_12 (Bundle.TotalSpace.proj.{u4, u6} B E) (FiberBundle.trivializationAt.{u4, u3, u6} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b) _inst_19 x₀))) (hy : Membership.mem.{u2, u2} B' (Set.{u2} B') (Set.instMembershipSet.{u2} B') y (Trivialization.baseSet.{u2, u1, max u2 u5} B' F' (Bundle.TotalSpace.{u2, u5} B' E') _inst_9 (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) _inst_17 (Bundle.TotalSpace.proj.{u2, u5} B' E') (FiberBundle.trivializationAt.{u2, u1, u5} B' F' _inst_9 (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) E' _inst_17 (fun (b : B') => _inst_21 b) _inst_22 y₀))), Eq.{max (succ u3) (succ u1)} (ContinuousLinearMap.{u8, u7, u3, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) σ F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u1} F' (NormedAddCommGroup.toAddCommGroup.{u1} F' _inst_13)) (NormedSpace.toModule.{u8, u3} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_10) (NormedSpace.toModule.{u7, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13) _inst_14)) (ContinuousLinearMap.inCoordinates.{u4, u3, u6, u8, u7, u2, u1, u5} B F E (fun (x : B) => _inst_2 x) _inst_4 _inst_6 𝕜₁ 𝕜₂ _inst_7 _inst_8 σ B' _inst_9 _inst_10 (fun (x : B) => _inst_11 x) _inst_12 F' _inst_13 _inst_14 E' (fun (x : B') => _inst_15 x) (fun (y : B') => _inst_16 y) _inst_17 (fun (b : B) => _inst_18 b) _inst_19 _inst_20 (fun (b : B') => _inst_21 b) _inst_22 _inst_23 x₀ x y₀ y ϕ) (ContinuousLinearMap.comp.{u8, u7, u7, u3, u5, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) σ (RingHom.id.{u7} 𝕜₂ (Semiring.toNonAssocSemiring.{u7} 𝕜₂ (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))))) σ F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E' y) (_inst_21 y) (_inst_15 y) F' (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u1} F' (NormedAddCommGroup.toAddCommGroup.{u1} F' _inst_13)) (NormedSpace.toModule.{u8, u3} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_10) (_inst_16 y) (NormedSpace.toModule.{u7, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13) _inst_14) (RingHomCompTriple.right_ids.{u8, u7} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) σ) (ContinuousLinearEquiv.toContinuousLinearMap.{u7, u7, u5, u1} 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) (RingHom.id.{u7} 𝕜₂ (Semiring.toNonAssocSemiring.{u7} 𝕜₂ (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))))) (RingHom.id.{u7} 𝕜₂ (Semiring.toNonAssocSemiring.{u7} 𝕜₂ (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))))) (RingHomInvPair.ids.{u7} 𝕜₂ (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8)))))) (RingHomInvPair.ids.{u7} 𝕜₂ (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8)))))) (E' y) (_inst_21 y) (_inst_15 y) F' (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u1} F' (NormedAddCommGroup.toAddCommGroup.{u1} F' _inst_13)) (_inst_16 y) (NormedSpace.toModule.{u7, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13) _inst_14) (Trivialization.continuousLinearEquivAt.{u7, u2, u1, u5} 𝕜₂ B' F' E' _inst_8 (fun (x : B') => _inst_15 x) (fun (y : B') => _inst_16 y) _inst_13 _inst_14 _inst_9 _inst_17 (fun (b : B') => _inst_21 b) _inst_22 (FiberBundle.trivializationAt.{u2, u1, u5} B' F' _inst_9 (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) E' _inst_17 (fun (b : B') => _inst_21 b) _inst_22 y₀) (trivialization_linear.{u7, u2, u1, u5} 𝕜₂ B' F' E' _inst_8 (fun (x : B') => _inst_15 x) (fun (x : B') => _inst_16 x) _inst_13 _inst_14 _inst_9 _inst_17 (fun (b : B') => _inst_21 b) _inst_22 _inst_23 (FiberBundle.trivializationAt.{u2, u1, u5} B' F' _inst_9 (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) E' _inst_17 (fun (b : B') => _inst_21 b) _inst_22 y₀) (instMemTrivializationAtlasTrivializationAt.{u2, u1, u5} B' F' _inst_9 (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) E' _inst_17 (fun (b : B') => _inst_21 b) _inst_22 y₀)) y hy)) (ContinuousLinearMap.comp.{u8, u8, u7, u3, u6, u5} 𝕜₁ 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) (RingHom.id.{u8} 𝕜₁ (Semiring.toNonAssocSemiring.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))))) σ σ F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E x) (_inst_18 x) (_inst_2 x) (E' y) (_inst_21 y) (_inst_15 y) (NormedSpace.toModule.{u8, u3} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_10) (_inst_11 x) (_inst_16 y) (RingHomCompTriple.ids.{u8, u7} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u7} 𝕜₂ (Semifield.toDivisionSemiring.{u7} 𝕜₂ (Field.toSemifield.{u7} 𝕜₂ (NormedField.toField.{u7} 𝕜₂ (NontriviallyNormedField.toNormedField.{u7} 𝕜₂ _inst_8))))) σ) ϕ (ContinuousLinearEquiv.toContinuousLinearMap.{u8, u8, u3, u6} 𝕜₁ 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (RingHom.id.{u8} 𝕜₁ (Semiring.toNonAssocSemiring.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))))) (RingHom.id.{u8} 𝕜₁ (Semiring.toNonAssocSemiring.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))))) (RingHomInvPair.ids.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7)))))) (RingHomInvPair.ids.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7)))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (E x) (_inst_18 x) (_inst_2 x) (NormedSpace.toModule.{u8, u3} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_10) (_inst_11 x) (ContinuousLinearEquiv.symm.{u8, u8, u6, u3} 𝕜₁ 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))) (RingHom.id.{u8} 𝕜₁ (Semiring.toNonAssocSemiring.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))))) (RingHom.id.{u8} 𝕜₁ (Semiring.toNonAssocSemiring.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7))))))) (RingHomInvPair.ids.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7)))))) (RingHomInvPair.ids.{u8} 𝕜₁ (DivisionSemiring.toSemiring.{u8} 𝕜₁ (Semifield.toDivisionSemiring.{u8} 𝕜₁ (Field.toSemifield.{u8} 𝕜₁ (NormedField.toField.{u8} 𝕜₁ (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7)))))) (E x) (_inst_18 x) (_inst_2 x) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (_inst_11 x) (NormedSpace.toModule.{u8, u3} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u8} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_10) (Trivialization.continuousLinearEquivAt.{u8, u4, u3, u6} 𝕜₁ B F E _inst_7 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_11 x) _inst_4 _inst_10 _inst_6 _inst_12 (fun (x : B) => _inst_18 x) _inst_19 (FiberBundle.trivializationAt.{u4, u3, u6} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b) _inst_19 x₀) (trivialization_linear.{u8, u4, u3, u6} 𝕜₁ B F E _inst_7 (fun (x : B) => _inst_2 x) (fun (x : B) => _inst_11 x) _inst_4 _inst_10 _inst_6 _inst_12 (fun (b : B) => _inst_18 b) _inst_19 _inst_20 (FiberBundle.trivializationAt.{u4, u3, u6} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b) _inst_19 x₀) (instMemTrivializationAtlasTrivializationAt.{u4, u3, u6} B F _inst_6 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) E _inst_12 (fun (b : B) => _inst_18 b) _inst_19 x₀)) x hx)))))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.in_coordinates_eq ContinuousLinearMap.inCoordinates_eqₓ'. -/
 /-- rewrite `in_coordinates` using continuous linear equivalences. -/
 theorem inCoordinates_eq (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y)
     (hx : x ∈ (trivializationAt F E x₀).baseSet) (hy : y ∈ (trivializationAt F' E' y₀).baseSet) :
@@ -1106,6 +1630,12 @@ theorem inCoordinates_eq (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y)
     Trivialization.coe_continuousLinearEquivAt_eq, Trivialization.symm_continuousLinearEquivAt_eq]
 #align continuous_linear_map.in_coordinates_eq ContinuousLinearMap.inCoordinates_eq
 
+/- warning: continuous_linear_map.vector_bundle_core.in_coordinates_eq -> VectorBundleCore.inCoordinates_eq is a dubious translation:
+lean 3 declaration is
+  forall {B : Type.{u1}} {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_6 : TopologicalSpace.{u1} B] {𝕜₁ : Type.{u3}} {𝕜₂ : Type.{u4}} [_inst_7 : NontriviallyNormedField.{u3} 𝕜₁] [_inst_8 : NontriviallyNormedField.{u4} 𝕜₂] {σ : RingHom.{u3, u4} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₁ (Ring.toNonAssocRing.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7)))))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))))} {B' : Type.{u5}} [_inst_9 : TopologicalSpace.{u5} B'] [_inst_10 : NormedSpace.{u3, u2} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {F' : Type.{u6}} [_inst_13 : NormedAddCommGroup.{u6} F'] [_inst_14 : NormedSpace.{u4, u6} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13)] {ι : Type.{u7}} {ι' : Type.{u8}} (Z : VectorBundleCore.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι) (Z' : VectorBundleCore.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι') {x₀ : B} {x : B} {y₀ : B'} {y : B'} (ϕ : ContinuousLinearMap.{u3, u4, u2, u6} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))) σ F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u6} F' (PseudoMetricSpace.toUniformSpace.{u6} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u6} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u6} F' (NormedAddCommGroup.toAddCommGroup.{u6} F' _inst_13)) (NormedSpace.toModule.{u3, u2} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_10) (NormedSpace.toModule.{u4, u6} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13) _inst_14)), (Membership.Mem.{u1, u1} B (Set.{u1} B) (Set.hasMem.{u1} B) x (VectorBundleCore.baseSet.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z (VectorBundleCore.indexAt.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x₀))) -> (Membership.Mem.{u5, u5} B' (Set.{u5} B') (Set.hasMem.{u5} B') y (VectorBundleCore.baseSet.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' (VectorBundleCore.indexAt.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' y₀))) -> (Eq.{max (succ u2) (succ u6)} (ContinuousLinearMap.{u3, u4, u2, u6} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))) σ F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F 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_inst_9 _inst_10 (fun {x : B} => NormedSpace.toModule.{u3, u2} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_10) (VectorBundleCore.toTopologicalSpace.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z) F' _inst_13 _inst_14 (VectorBundleCore.Fiber.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z') (fun (x : B') => VectorBundleCore.addCommMonoidFiber.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' x) (fun {y : B'} => NormedSpace.toModule.{u4, u6} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13) _inst_14) (VectorBundleCore.toTopologicalSpace.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z') (fun (x : B) => VectorBundleCore.topologicalSpaceFiber.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x) (VectorBundleCore.fiberBundle.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z) (VectorBundleCore.vectorBundle.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z) (fun (x : B') => VectorBundleCore.topologicalSpaceFiber.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' x) (VectorBundleCore.fiberBundle.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z') (VectorBundleCore.vectorBundle.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z') x₀ x y₀ y ϕ) (ContinuousLinearMap.comp.{u3, u4, u4, u2, u6, u6} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))) (Ring.toSemiring.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))) σ (RingHom.id.{u4} 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))))) σ F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u6} F' (PseudoMetricSpace.toUniformSpace.{u6} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u6} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u6} F' (NormedAddCommGroup.toAddCommGroup.{u6} F' _inst_13)) F' (UniformSpace.toTopologicalSpace.{u6} F' (PseudoMetricSpace.toUniformSpace.{u6} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u6} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u6} F' (NormedAddCommGroup.toAddCommGroup.{u6} F' _inst_13)) (NormedSpace.toModule.{u3, u2} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_10) (NormedSpace.toModule.{u4, u6} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13) _inst_14) (NormedSpace.toModule.{u4, u6} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13) _inst_14) (RingHomCompTriple.right_ids.{u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))) σ) (VectorBundleCore.coordChange.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' (VectorBundleCore.indexAt.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' y) (VectorBundleCore.indexAt.{u4, u5, u6, u8} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' y₀) y) (ContinuousLinearMap.comp.{u3, u3, u4, u2, u2, u6} 𝕜₁ 𝕜₁ 𝕜₂ (Ring.toSemiring.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))) (RingHom.id.{u3} 𝕜₁ (Semiring.toNonAssocSemiring.{u3} 𝕜₁ (Ring.toSemiring.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7))))))) σ σ F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u6} F' (PseudoMetricSpace.toUniformSpace.{u6} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u6} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u6} F' (NormedAddCommGroup.toAddCommGroup.{u6} F' _inst_13)) (NormedSpace.toModule.{u3, u2} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_10) (NormedSpace.toModule.{u3, u2} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_10) (NormedSpace.toModule.{u4, u6} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u6} F' _inst_13) _inst_14) (RingHomCompTriple.ids.{u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u3} 𝕜₁ (NormedRing.toRing.{u3} 𝕜₁ (NormedCommRing.toNormedRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_7))))) (Ring.toSemiring.{u4} 𝕜₂ (NormedRing.toRing.{u4} 𝕜₂ (NormedCommRing.toNormedRing.{u4} 𝕜₂ (NormedField.toNormedCommRing.{u4} 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₂ _inst_8))))) σ) ϕ (VectorBundleCore.coordChange.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z (VectorBundleCore.indexAt.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x₀) (VectorBundleCore.indexAt.{u3, u1, u2, u7} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x) x))))
+but is expected to have type
+  forall {B : Type.{u5}} {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_6 : TopologicalSpace.{u5} B] {𝕜₁ : Type.{u6}} {𝕜₂ : Type.{u3}} [_inst_7 : NontriviallyNormedField.{u6} 𝕜₁] [_inst_8 : NontriviallyNormedField.{u3} 𝕜₂] {σ : RingHom.{u6, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u6} 𝕜₁ (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))))} {B' : Type.{u2}} [_inst_9 : TopologicalSpace.{u2} B'] [_inst_10 : NormedSpace.{u6, u4} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] (F' : Type.{u1}) [_inst_13 : NormedAddCommGroup.{u1} F'] [_inst_14 : NormedSpace.{u3, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)] {ι : Type.{u8}} {ι' : Type.{u7}} (Z : VectorBundleCore.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι) (Z' : VectorBundleCore.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι') {x₀ : B} {x : B} {y₀ : B'} {y : B'} (ϕ : ContinuousLinearMap.{u6, u3, u4, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))) σ F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u1} F' (NormedAddCommGroup.toAddCommGroup.{u1} F' _inst_13)) (NormedSpace.toModule.{u6, u4} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_10) (NormedSpace.toModule.{u3, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13) _inst_14)), (Membership.mem.{u5, u5} B (Set.{u5} B) (Set.instMembershipSet.{u5} B) x (VectorBundleCore.baseSet.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z (VectorBundleCore.indexAt.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x₀))) -> (Membership.mem.{u2, u2} B' (Set.{u2} B') (Set.instMembershipSet.{u2} B') y (VectorBundleCore.baseSet.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' (VectorBundleCore.indexAt.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' y₀))) -> (Eq.{max (succ u4) (succ u1)} (ContinuousLinearMap.{u6, u3, u4, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))) σ F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u1} F' (NormedAddCommGroup.toAddCommGroup.{u1} F' _inst_13)) (NormedSpace.toModule.{u6, u4} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_10) (NormedSpace.toModule.{u3, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13) _inst_14)) (ContinuousLinearMap.inCoordinates.{u5, u4, u4, u6, u3, u2, u1, u1} B F (VectorBundleCore.Fiber.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z) (fun (x : B) => AddCommGroup.toAddCommMonoid.{u4} (VectorBundleCore.Fiber.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x) (VectorBundleCore.addCommGroupFiber.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x)) _inst_4 _inst_6 𝕜₁ 𝕜₂ _inst_7 _inst_8 σ B' _inst_9 _inst_10 (fun (x : B) => VectorBundleCore.moduleFiber.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x) (VectorBundleCore.toTopologicalSpace.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z) F' _inst_13 _inst_14 (VectorBundleCore.Fiber.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z') (fun (x : B') => AddCommGroup.toAddCommMonoid.{u1} (VectorBundleCore.Fiber.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' x) (VectorBundleCore.addCommGroupFiber.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' x)) (fun (y : B') => VectorBundleCore.moduleFiber.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' y) (VectorBundleCore.toTopologicalSpace.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z') (fun (x : B) => VectorBundleCore.topologicalSpaceFiber.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x) (VectorBundleCore.fiberBundle.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z) (VectorBundleCore.vectorBundle.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z) (fun (x : B') => VectorBundleCore.topologicalSpaceFiber.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' x) (VectorBundleCore.fiberBundle.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z') (VectorBundleCore.vectorBundle.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z') x₀ x y₀ y ϕ) (ContinuousLinearMap.comp.{u6, u3, u3, u4, u1, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))) σ (RingHom.id.{u3} 𝕜₂ (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))))) σ F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u1} F' (NormedAddCommGroup.toAddCommGroup.{u1} F' _inst_13)) F' (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u1} F' (NormedAddCommGroup.toAddCommGroup.{u1} F' _inst_13)) (NormedSpace.toModule.{u6, u4} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_10) (NormedSpace.toModule.{u3, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13) _inst_14) (NormedSpace.toModule.{u3, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13) _inst_14) (RingHomCompTriple.right_ids.{u6, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))) σ) (VectorBundleCore.coordChange.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' (VectorBundleCore.indexAt.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' y) (VectorBundleCore.indexAt.{u3, u2, u1, u7} 𝕜₂ B' F' _inst_8 _inst_13 _inst_14 _inst_9 ι' Z' y₀) y) (ContinuousLinearMap.comp.{u6, u6, u3, u4, u4, u1} 𝕜₁ 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))) (RingHom.id.{u6} 𝕜₁ (Semiring.toNonAssocSemiring.{u6} 𝕜₁ (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7))))))) σ σ F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) F' (UniformSpace.toTopologicalSpace.{u1} F' (PseudoMetricSpace.toUniformSpace.{u1} F' (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F' (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13)))) (AddCommGroup.toAddCommMonoid.{u1} F' (NormedAddCommGroup.toAddCommGroup.{u1} F' _inst_13)) (NormedSpace.toModule.{u6, u4} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_10) (NormedSpace.toModule.{u6, u4} 𝕜₁ F (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_10) (NormedSpace.toModule.{u3, u1} 𝕜₂ F' (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F' _inst_13) _inst_14) (RingHomCompTriple.ids.{u6, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u6} 𝕜₁ (Semifield.toDivisionSemiring.{u6} 𝕜₁ (Field.toSemifield.{u6} 𝕜₁ (NormedField.toField.{u6} 𝕜₁ (NontriviallyNormedField.toNormedField.{u6} 𝕜₁ _inst_7))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_8))))) σ) ϕ (VectorBundleCore.coordChange.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z (VectorBundleCore.indexAt.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x₀) (VectorBundleCore.indexAt.{u6, u5, u4, u8} 𝕜₁ B F _inst_7 _inst_4 _inst_10 _inst_6 ι Z x) x))))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.vector_bundle_core.in_coordinates_eq VectorBundleCore.inCoordinates_eqₓ'. -/
 /-- rewrite `in_coordinates` in a `vector_bundle_core`. -/
 protected theorem VectorBundleCore.inCoordinates_eq {ι ι'} (Z : VectorBundleCore 𝕜₁ B F ι)
     (Z' : VectorBundleCore 𝕜₂ B' F' ι') {x₀ x : B} {y₀ y : B'} (ϕ : F →SL[σ] F')
@@ -1116,7 +1646,7 @@ protected theorem VectorBundleCore.inCoordinates_eq {ι ι'} (Z : VectorBundleCo
   by
   simp_rw [in_coordinates, Z'.trivialization_at_continuous_linear_map_at hy,
     Z.trivialization_at_symmL hx]
-#align continuous_linear_map.vector_bundle_core.in_coordinates_eq ContinuousLinearMap.VectorBundleCore.inCoordinates_eq
+#align continuous_linear_map.vector_bundle_core.in_coordinates_eq VectorBundleCore.inCoordinates_eq
 
 end ContinuousLinearMap

bump to nightly-2023-04-26-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/d2d964c64f8ddcccd6704a731c41f95d13e72f5c

9b6aee28

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri, Sebastien Gouezel, Heather Macbeth, Patrick Massot, Floris van Doorn
 
 ! This file was ported from Lean 3 source module topology.vector_bundle.basic
-! leanprover-community/mathlib commit 7dfe85833014fb54258a228081ebb76b7e96ec98
+! leanprover-community/mathlib commit d2d964c64f8ddcccd6704a731c41f95d13e72f5c
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -33,6 +33,21 @@ If these conditions are satisfied, we register the typeclass `vector_bundle R F
 
 We define constructions on vector bundles like pullbacks and direct sums in other files.
 
+## Main Definitions
+
+* `trivialization.is_linear`: a class stating that a trivialization is fiberwise linear on its base
+  set.
+* `trivialization.linear_equiv_at` and `trivialization.continuous_linear_map_at` are the
+  (continuous) linear fiberwise equivalences a trivialization induces.
+* They have forward maps `trivialization.linear_map_at` / `trivialization.continuous_linear_map_at`
+  and inverses `trivialization.symmₗ` / `trivialization.symmL`. Note that these are all defined
+  everywhere, since they are extended using the zero function.
+* `trivialization.coord_changeL` is the coordinate change induced by two trivializations. It only
+  makes sense on the intersection of their base sets, but is extended outside it using the identity.
+* Given a continuous (semi)linear map between `E x` and `E' y` where `E` and `E'` are bundles over
+  possibly different base sets, `continuous_linear_map.in_coordinates` turns this into a continuous
+  (semi)linear map between the chosen fibers of those bundles.
+
 ## Implementation notes
 
 The implementation choices in the vector bundle definition are discussed in the "Implementation
@@ -1036,5 +1051,74 @@ theorem to_vectorBundle :
 
 end VectorPrebundle
 
+namespace ContinuousLinearMap
+
+variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [NontriviallyNormedField 𝕜₂]
+
+variable {σ : 𝕜₁ →+* 𝕜₂}
+
+variable {B' : Type _} [TopologicalSpace B']
+
+variable [NormedSpace 𝕜₁ F] [∀ x, Module 𝕜₁ (E x)] [TopologicalSpace (TotalSpace E)]
+
+variable {F' : Type _} [NormedAddCommGroup F'] [NormedSpace 𝕜₂ F'] {E' : B' → Type _}
+  [∀ x, AddCommMonoid (E' x)] [∀ x, Module 𝕜₂ (E' x)] [TopologicalSpace (TotalSpace E')]
+
+variable [∀ x, TopologicalSpace (E x)] [FiberBundle F E] [VectorBundle 𝕜₁ F E]
+
+variable [∀ x, TopologicalSpace (E' x)] [FiberBundle F' E'] [VectorBundle 𝕜₂ F' E']
+
+variable (F E F' E')
+
+/-- When `ϕ` is a continuous (semi)linear map between the fibers `E x` and `E' y` of two vector
+bundles `E` and `E'`, `continuous_linear_map.in_coordinates F E F' E' x₀ x y₀ y ϕ` is a coordinate
+change of this continuous linear map w.r.t. the chart around `x₀` and the chart around `y₀`.
+
+It is defined by composing `ϕ` with appropriate coordinate changes given by the vector bundles
+`E` and `E'`.
+We use the operations `trivialization.continuous_linear_map_at` and `trivialization.symmL` in the
+definition, instead of `trivialization.continuous_linear_equiv_at`, so that
+`continuous_linear_map.in_coordinates` is defined everywhere (but see
+`continuous_linear_map.in_coordinates_eq`).
+
+This is the (second component of the) underlying function of a trivialization of the hom-bundle
+(see `hom_trivialization_at_apply`). However, note that `continuous_linear_map.in_coordinates` is
+defined even when `x` and `y` live in different base sets.
+Therefore, it is is also convenient when working with the hom-bundle between pulled back bundles.
+-/
+def inCoordinates (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y) : F →SL[σ] F' :=
+  ((trivializationAt F' E' y₀).continuousLinearMapAt 𝕜₂ y).comp <|
+    ϕ.comp <| (trivializationAt F E x₀).symmL 𝕜₁ x
+#align continuous_linear_map.in_coordinates ContinuousLinearMap.inCoordinates
+
+variable {F F'}
+
+/-- rewrite `in_coordinates` using continuous linear equivalences. -/
+theorem inCoordinates_eq (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y)
+    (hx : x ∈ (trivializationAt F E x₀).baseSet) (hy : y ∈ (trivializationAt F' E' y₀).baseSet) :
+    inCoordinates F E F' E' x₀ x y₀ y ϕ =
+      ((trivializationAt F' E' y₀).continuousLinearEquivAt 𝕜₂ y hy : E' y →L[𝕜₂] F').comp
+        (ϕ.comp <|
+          (((trivializationAt F E x₀).continuousLinearEquivAt 𝕜₁ x hx).symm : F →L[𝕜₁] E x)) :=
+  by
+  ext
+  simp_rw [in_coordinates, ContinuousLinearMap.coe_comp', ContinuousLinearEquiv.coe_coe,
+    Trivialization.coe_continuousLinearEquivAt_eq, Trivialization.symm_continuousLinearEquivAt_eq]
+#align continuous_linear_map.in_coordinates_eq ContinuousLinearMap.inCoordinates_eq
+
+/-- rewrite `in_coordinates` in a `vector_bundle_core`. -/
+protected theorem VectorBundleCore.inCoordinates_eq {ι ι'} (Z : VectorBundleCore 𝕜₁ B F ι)
+    (Z' : VectorBundleCore 𝕜₂ B' F' ι') {x₀ x : B} {y₀ y : B'} (ϕ : F →SL[σ] F')
+    (hx : x ∈ Z.baseSet (Z.indexAt x₀)) (hy : y ∈ Z'.baseSet (Z'.indexAt y₀)) :
+    inCoordinates F Z.Fiber F' Z'.Fiber x₀ x y₀ y ϕ =
+      (Z'.coordChange (Z'.indexAt y) (Z'.indexAt y₀) y).comp
+        (ϕ.comp <| Z.coordChange (Z.indexAt x₀) (Z.indexAt x) x) :=
+  by
+  simp_rw [in_coordinates, Z'.trivialization_at_continuous_linear_map_at hy,
+    Z.trivialization_at_symmL hx]
+#align continuous_linear_map.vector_bundle_core.in_coordinates_eq ContinuousLinearMap.VectorBundleCore.inCoordinates_eq
+
+end ContinuousLinearMap
+
 end

7dfe8583

bump to nightly-2023-04-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/09079525fd01b3dda35e96adaa08d2f943e1648c

ff662d55

Diff

@@ -385,7 +385,7 @@ variable [NontriviallyNormedField R] [∀ x, AddCommMonoid (E x)] [∀ x, Module
   [NormedAddCommGroup F] [NormedSpace R F] [TopologicalSpace B] [TopologicalSpace (TotalSpace E)]
   [∀ x, TopologicalSpace (E x)] [FiberBundle F E]
 
-/- ./././Mathport/Syntax/Translate/Command.lean:388:30: infer kinds are unsupported in Lean 4: #[`continuousOn_coord_change'] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`continuousOn_coord_change'] [] -/
 /-- The space `total_space E` (for `E : B → Type*` such that each `E x` is a topological vector
 space) has a topological vector space structure with fiber `F` (denoted with
 `vector_bundle R F E`) if around every point there is a fiber bundle trivialization

7dfe8583

bump to nightly-2023-04-23-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/7e281deff072232a3c5b3e90034bd65dde396312

8c574543

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri, Sebastien Gouezel, Heather Macbeth, Patrick Massot, Floris van Doorn
 
 ! This file was ported from Lean 3 source module topology.vector_bundle.basic
-! leanprover-community/mathlib commit 0187644979f2d3e10a06e916a869c994facd9a87
+! leanprover-community/mathlib commit 7dfe85833014fb54258a228081ebb76b7e96ec98
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -49,7 +49,7 @@ open Bundle Set
 
 open Classical Bundle
 
-variable (R 𝕜 : Type _) {B : Type _} (F : Type _) (E : B → Type _)
+variable (R : Type _) {B : Type _} (F : Type _) (E : B → Type _)
 
 section TopologicalVectorSpace
 
@@ -653,7 +653,7 @@ instance addCommGroupFiber [AddCommGroup F] : ∀ x : B, AddCommGroup (Z.Fiber x
 
 /-- The projection from the total space of a fiber bundle core, on its base. -/
 @[reducible, simp, mfld_simps]
-def proj : TotalSpace Z.Fiber → B :=
+protected def proj : TotalSpace Z.Fiber → B :=
   TotalSpace.proj
 #align vector_bundle_core.proj VectorBundleCore.proj
 
@@ -661,7 +661,7 @@ def proj : TotalSpace Z.Fiber → B :=
 It is by definition equal to `bundle.total_space Z.fiber`, a.k.a. `Σ x, Z.fiber x` but with a
 different name for typeclass inference. -/
 @[nolint unused_arguments, reducible]
-def TotalSpace :=
+protected def TotalSpace :=
   Bundle.TotalSpace Z.Fiber
 #align vector_bundle_core.total_space VectorBundleCore.TotalSpace
 
@@ -809,6 +809,49 @@ theorem isOpenMap_proj : IsOpenMap Z.proj :=
   FiberBundleCore.isOpenMap_proj Z
 #align vector_bundle_core.is_open_map_proj VectorBundleCore.isOpenMap_proj
 
+variable {i j}
+
+@[simp, mfld_simps]
+theorem localTriv_continuousLinearMapAt {b : B} (hb : b ∈ Z.baseSet i) :
+    (Z.localTriv i).continuousLinearMapAt R b = Z.coordChange (Z.indexAt b) i b :=
+  by
+  ext1 v
+  rw [(Z.local_triv i).continuousLinearMapAt_apply R, (Z.local_triv i).coe_linearMapAt_of_mem]
+  exacts[rfl, hb]
+#align vector_bundle_core.local_triv_continuous_linear_map_at VectorBundleCore.localTriv_continuousLinearMapAt
+
+@[simp, mfld_simps]
+theorem trivializationAt_continuousLinearMapAt {b₀ b : B}
+    (hb : b ∈ (trivializationAt F Z.Fiber b₀).baseSet) :
+    (trivializationAt F Z.Fiber b₀).continuousLinearMapAt R b =
+      Z.coordChange (Z.indexAt b) (Z.indexAt b₀) b :=
+  Z.localTriv_continuousLinearMapAt hb
+#align vector_bundle_core.trivialization_at_continuous_linear_map_at VectorBundleCore.trivializationAt_continuousLinearMapAt
+
+@[simp, mfld_simps]
+theorem localTriv_symmL {b : B} (hb : b ∈ Z.baseSet i) :
+    (Z.localTriv i).symmL R b = Z.coordChange i (Z.indexAt b) b :=
+  by
+  ext1 v
+  rw [(Z.local_triv i).symmL_apply R, (Z.local_triv i).symm_apply]
+  exacts[rfl, hb]
+#align vector_bundle_core.local_triv_symmL VectorBundleCore.localTriv_symmL
+
+@[simp, mfld_simps]
+theorem trivializationAt_symmL {b₀ b : B} (hb : b ∈ (trivializationAt F Z.Fiber b₀).baseSet) :
+    (trivializationAt F Z.Fiber b₀).symmL R b = Z.coordChange (Z.indexAt b₀) (Z.indexAt b) b :=
+  Z.localTriv_symmL hb
+#align vector_bundle_core.trivialization_at_symmL VectorBundleCore.trivializationAt_symmL
+
+@[simp, mfld_simps]
+theorem trivializationAt_coordChange_eq {b₀ b₁ b : B}
+    (hb : b ∈ (trivializationAt F Z.Fiber b₀).baseSet ∩ (trivializationAt F Z.Fiber b₁).baseSet)
+    (v : F) :
+    (trivializationAt F Z.Fiber b₀).coordChangeL R (trivializationAt F Z.Fiber b₁) b v =
+      Z.coordChange (Z.indexAt b₀) (Z.indexAt b₁) b v :=
+  Z.localTriv_coordChange_eq _ _ hb v
+#align vector_bundle_core.trivialization_at_coord_change_eq VectorBundleCore.trivializationAt_coordChange_eq
+
 end VectorBundleCore
 
 end

01876449

bump to nightly-2023-03-30-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/b685f506164f8d17a6404048bc4d696739c5d976

af7dd13c

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri, Sebastien Gouezel, Heather Macbeth, Patrick Massot, Floris van Doorn
 
 ! This file was ported from Lean 3 source module topology.vector_bundle.basic
-! leanprover-community/mathlib commit be2c24f56783935652cefffb4bfca7e4b25d167e
+! leanprover-community/mathlib commit 0187644979f2d3e10a06e916a869c994facd9a87
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -361,6 +361,26 @@ end TopologicalVectorSpace
 
 section
 
+namespace Bundle
+
+/-- The zero section of a vector bundle -/
+def zeroSection [∀ x, Zero (E x)] : B → TotalSpace E := fun x => totalSpaceMk x 0
+#align bundle.zero_section Bundle.zeroSection
+
+@[simp, mfld_simps]
+theorem zeroSection_proj [∀ x, Zero (E x)] (x : B) : (zeroSection E x).proj = x :=
+  rfl
+#align bundle.zero_section_proj Bundle.zeroSection_proj
+
+@[simp, mfld_simps]
+theorem zeroSection_snd [∀ x, Zero (E x)] (x : B) : (zeroSection E x).2 = 0 :=
+  rfl
+#align bundle.zero_section_snd Bundle.zeroSection_snd
+
+end Bundle
+
+open Bundle
+
 variable [NontriviallyNormedField R] [∀ x, AddCommMonoid (E x)] [∀ x, Module R (E x)]
   [NormedAddCommGroup F] [NormedSpace R F] [TopologicalSpace B] [TopologicalSpace (TotalSpace E)]
   [∀ x, TopologicalSpace (E x)] [FiberBundle F E]
@@ -408,8 +428,8 @@ def continuousLinearMapAt (e : Trivialization F (π E)) [e.isLinear R] (b : B) :
       refine' continuous_if_const _ (fun hb => _) fun _ => continuous_zero
       exact
         continuous_snd.comp
-          (e.to_local_homeomorph.continuous_on.comp_continuous
-            (FiberBundle.totalSpaceMk_inducing F E b).Continuous fun x => e.mem_source.mpr hb) }
+          (e.continuous_on.comp_continuous (FiberBundle.totalSpaceMk_inducing F E b).Continuous
+            fun x => e.mem_source.mpr hb) }
 #align trivialization.continuous_linear_map_at Trivialization.continuousLinearMapAt
 
 /-- Backwards map of `continuous_linear_equiv_at`, defined everywhere. -/
@@ -455,8 +475,8 @@ def continuousLinearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B)
     invFun := e.symm b
     continuous_toFun :=
       continuous_snd.comp
-        (e.toLocalHomeomorph.ContinuousOn.comp_continuous
-          (FiberBundle.totalSpaceMk_inducing F E b).Continuous fun x => e.mem_source.mpr hb)
+        (e.ContinuousOn.comp_continuous (FiberBundle.totalSpaceMk_inducing F E b).Continuous
+          fun x => e.mem_source.mpr hb)
     continuous_invFun := (e.symmL R b).Continuous }
 #align trivialization.continuous_linear_equiv_at Trivialization.continuousLinearEquivAt
 
@@ -485,8 +505,7 @@ theorem continuousLinearEquivAt_apply' (e : Trivialization F (π E)) [e.isLinear
 variable (R)
 
 theorem apply_eq_prod_continuousLinearEquivAt (e : Trivialization F (π E)) [e.isLinear R] (b : B)
-    (hb : b ∈ e.baseSet) (z : E b) :
-    e.toLocalHomeomorph ⟨b, z⟩ = (b, e.continuousLinearEquivAt R b hb z) :=
+    (hb : b ∈ e.baseSet) (z : E b) : e ⟨b, z⟩ = (b, e.continuousLinearEquivAt R b hb z) :=
   by
   ext
   · refine' e.coe_fst _
@@ -495,19 +514,24 @@ theorem apply_eq_prod_continuousLinearEquivAt (e : Trivialization F (π E)) [e.i
   · simp only [coe_coe, continuous_linear_equiv_at_apply]
 #align trivialization.apply_eq_prod_continuous_linear_equiv_at Trivialization.apply_eq_prod_continuousLinearEquivAt
 
+protected theorem zeroSection (e : Trivialization F (π E)) [e.isLinear R] {x : B}
+    (hx : x ∈ e.baseSet) : e (zeroSection E x) = (x, 0) := by
+  simp_rw [zero_section, total_space_mk, e.apply_eq_prod_continuous_linear_equiv_at R x hx 0,
+    map_zero]
+#align trivialization.zero_section Trivialization.zeroSection
+
 variable {R}
 
 theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π E)) [e.isLinear R]
     (b : B) (hb : b ∈ e.baseSet) (z : F) :
     e.toLocalHomeomorph.symm ⟨b, z⟩ = totalSpaceMk b ((e.continuousLinearEquivAt R b hb).symm z) :=
   by
-  have h : (b, z) ∈ e.to_local_homeomorph.target :=
-    by
+  have h : (b, z) ∈ e.target := by
     rw [e.target_eq]
     exact ⟨hb, mem_univ _⟩
-  apply e.to_local_homeomorph.inj_on (e.to_local_homeomorph.map_target h)
+  apply e.inj_on (e.map_target h)
   · simp only [e.source_eq, hb, mem_preimage]
-  simp_rw [e.apply_eq_prod_continuous_linear_equiv_at R b hb, e.to_local_homeomorph.right_inv h,
+  simp_rw [e.right_inv h, coe_coe, e.apply_eq_prod_continuous_linear_equiv_at R b hb,
     ContinuousLinearEquiv.apply_symm_apply]
 #align trivialization.symm_apply_eq_mk_continuous_linear_equiv_at_symm Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm

be2c24f5

bump to nightly-2023-03-22-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/dd6388c44e6f6b4547070b887c5905d5cfe6c9f8

60dc9e3f

Diff

@@ -913,7 +913,7 @@ variable (a : VectorPrebundle R F E)
 
 theorem mem_trivialization_at_source (b : B) (x : E b) :
     totalSpaceMk b x ∈ (a.pretrivializationAt b).source :=
-  a.toFiberPrebundle.mem_trivialization_at_source b x
+  a.toFiberPrebundle.mem_pretrivializationAt_source b x
 #align vector_prebundle.mem_trivialization_at_source VectorPrebundle.mem_trivialization_at_source
 
 @[simp]

be2c24f5

bump to nightly-2023-03-09-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/21e3562c5e12d846c7def5eff8cdbc520d7d4936

a3ca2eeb

Diff

@@ -951,7 +951,7 @@ number of "pretrivializations" identifying parts of `E` with product spaces `U 
 establishes that for the topology constructed on the sigma-type using
 `vector_prebundle.total_space_topology`, these "pretrivializations" are actually
 "trivializations" (i.e., homeomorphisms with respect to the constructed topology). -/
-theorem toVectorBundle :
+theorem to_vectorBundle :
     @VectorBundle R _ F E _ _ _ _ _ _ a.totalSpaceTopology a.fiberTopology a.toFiberBundle :=
   { trivialization_linear' := by
       rintro _ ⟨e, he, rfl⟩
@@ -965,7 +965,7 @@ theorem toVectorBundle :
       rw [a.coord_change_apply he he' hb v, ContinuousLinearEquiv.coe_coe,
         Trivialization.coordChangeL_apply]
       exacts[rfl, hb] }
-#align vector_prebundle.to_vector_bundle VectorPrebundle.toVectorBundle
+#align vector_prebundle.to_vector_bundle VectorPrebundle.to_vectorBundle
 
 end VectorPrebundle

be2c24f5

bump to nightly-2023-03-08-03

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

aa586d73

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri, Sebastien Gouezel, Heather Macbeth, Patrick Massot, Floris van Doorn
 
 ! This file was ported from Lean 3 source module topology.vector_bundle.basic
-! leanprover-community/mathlib commit f11f1e72b81ab0a9772a645e8a3dc0ee76e043f2
+! leanprover-community/mathlib commit be2c24f56783935652cefffb4bfca7e4b25d167e
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -24,7 +24,7 @@ To have a vector bundle structure on `bundle.total_space E`, one should addition
 following properties:
 
 * The bundle trivializations in the trivialization atlas should be continuous linear equivs in the
-fibres;
+fibers;
 * For any two trivializations `e`, `e'` in the atlas the transition function considered as a map
 from `B` into `F →L[R] F` is continuous on `e.base_set ∩ e'.base_set` with respect to the operator
 norm topology on `F →L[R] F`.
@@ -55,8 +55,8 @@ section TopologicalVectorSpace
 
 variable {B F E} [Semiring R] [TopologicalSpace F] [TopologicalSpace B]
 
-/-- A mixin class for `pretrivialization`, stating that a pretrivialization is fibrewise linear with
-respect to given module structures on its fibres and the model fibre. -/
+/-- A mixin class for `pretrivialization`, stating that a pretrivialization is fiberwise linear with
+respect to given module structures on its fibers and the model fiber. -/
 protected class Pretrivialization.IsLinear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
   [∀ x, Module R (E x)] (e : Pretrivialization F (π E)) : Prop where
   linear : ∀ b ∈ e.baseSet, IsLinearMap R fun x : E b => (e (totalSpaceMk b x)).2
@@ -158,8 +158,8 @@ end Pretrivialization
 
 variable (R) [TopologicalSpace (TotalSpace E)]
 
-/-- A mixin class for `trivialization`, stating that a trivialization is fibrewise linear with
-respect to given module structures on its fibres and the model fibre. -/
+/-- A mixin class for `trivialization`, stating that a trivialization is fiberwise linear with
+respect to given module structures on its fibers and the model fiber. -/
 protected class Trivialization.IsLinear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
   [∀ x, Module R (E x)] (e : Trivialization F (π E)) : Prop where
   linear : ∀ b ∈ e.baseSet, IsLinearMap R fun x : E b => (e (totalSpaceMk b x)).2
@@ -302,6 +302,21 @@ theorem coe_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isL
   congr_arg LinearEquiv.toFun (dif_pos hb)
 #align trivialization.coe_coord_changeL Trivialization.coe_coordChangeL
 
+theorem coe_coord_changeL' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
+    (hb : b ∈ e.baseSet ∩ e'.baseSet) :
+    (coordChangeL R e e' b).toLinearEquiv =
+      (e.linearEquivAt R b hb.1).symm.trans (e'.linearEquivAt R b hb.2) :=
+  LinearEquiv.coe_injective (coe_coordChangeL _ _ _)
+#align trivialization.coe_coord_changeL' Trivialization.coe_coord_changeL'
+
+theorem symm_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
+    (hb : b ∈ e'.baseSet ∩ e.baseSet) : (e.coordChangeL R e' b).symm = e'.coordChangeL R e b :=
+  by
+  apply ContinuousLinearEquiv.toLinearEquiv_injective
+  rw [coe_coord_changeL' e' e hb, (coord_changeL R e e' b).symm_toLinearEquiv,
+    coe_coord_changeL' e e' hb.symm, LinearEquiv.trans_symm, LinearEquiv.symm_symm]
+#align trivialization.symm_coord_changeL Trivialization.symm_coordChangeL
+
 theorem coordChangeL_apply (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) :
     coordChangeL R e e' b y = (e' (totalSpaceMk b (e.symm b y))).2 :=
@@ -319,6 +334,12 @@ theorem mk_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLi
   · exact e.coord_changeL_apply e' hb y
 #align trivialization.mk_coord_changeL Trivialization.mk_coordChangeL
 
+theorem apply_symm_apply_eq_coordChangeL (e e' : Trivialization F (π E)) [e.isLinear R]
+    [e'.isLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
+    e' (e.toLocalHomeomorph.symm (b, v)) = (b, e.coordChangeL R e' b v) := by
+  rw [e.mk_coord_changeL e' hb, e.mk_symm hb.1]
+#align trivialization.apply_symm_apply_eq_coord_changeL Trivialization.apply_symm_apply_eq_coordChangeL
+
 /-- A version of `coord_change_apply` that fully unfolds `coord_change`. The right-hand side is
 ugly, but has good definitional properties for specifically defined trivializations. -/
 theorem coordChangeL_apply' (e e' : Trivialization F (π E)) [e.isLinear R] [e'.isLinear R] {b : B}

f11f1e72

bump to nightly-2023-03-01-20

mathlib commit https://github.com/leanprover-community/mathlib/commit/4c586d291f189eecb9d00581aeb3dd998ac34442

20cadee0

Diff

@@ -780,7 +780,7 @@ open TopologicalSpace
 
 open VectorBundle
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:628:2: warning: expanding binder collection (e e' «expr ∈ » pretrivialization_atlas) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (e e' «expr ∈ » pretrivialization_atlas) -/
 /-- This structure permits to define a vector bundle when trivializations are given as local
 equivalences but there is not yet a topology on the total space or the fibers.
 The total space is hence given a topology in such a way that there is a fiber bundle structure for

f11f1e72

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

chore: classify porting notes referring to missing linters (#12098)

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.

c5b5490c

Diff

@@ -605,7 +605,7 @@ theorem coordChange_linear_comp (i j k : ι) :
 #align vector_bundle_core.coord_change_linear_comp VectorBundleCore.coordChange_linear_comp
 
 /-- The index set of a vector bundle core, as a convenience function for dot notation -/
-@[nolint unusedArguments] -- Porting note: was `nolint has_nonempty_instance`
+@[nolint unusedArguments] -- Porting note(#5171): was `nolint has_nonempty_instance`
 def Index := ι
 #align vector_bundle_core.index VectorBundleCore.Index
 
@@ -616,7 +616,7 @@ def Base := B
 
 /-- The fiber of a vector bundle core, as a convenience function for dot notation and
 typeclass inference -/
-@[nolint unusedArguments] -- Porting note: was `nolint has_nonempty_instance`
+@[nolint unusedArguments] -- Porting note(#5171): was `nolint has_nonempty_instance`
 def Fiber : B → Type _ :=
   Z.toFiberBundleCore.Fiber
 #align vector_bundle_core.fiber VectorBundleCore.Fiber
@@ -854,7 +854,7 @@ The field `exists_coordChange` is stated as an existential statement (instead of
 fields), since it depends on propositional information (namely `e e' ∈ pretrivializationAtlas`).
 This makes it inconvenient to explicitly define a `coordChange` function when constructing a
 `VectorPrebundle`. -/
--- Porting note: was @[nolint has_nonempty_instance]
+-- Porting note(#5171): was @[nolint has_nonempty_instance]
 structure VectorPrebundle where
   pretrivializationAtlas : Set (Pretrivialization F (π F E))
   pretrivialization_linear' : ∀ e, e ∈ pretrivializationAtlas → e.IsLinear R

chore(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

75c86f04

Diff

@@ -992,20 +992,14 @@ end VectorPrebundle
 namespace ContinuousLinearMap
 
 variable {𝕜₁ 𝕜₂ : Type*} [NontriviallyNormedField 𝕜₁] [NontriviallyNormedField 𝕜₂]
-
 variable {σ : 𝕜₁ →+* 𝕜₂}
-
 variable {B' : Type*} [TopologicalSpace B']
-
 variable [NormedSpace 𝕜₁ F] [∀ x, Module 𝕜₁ (E x)] [TopologicalSpace (TotalSpace F E)]
-
 variable {F' : Type*} [NormedAddCommGroup F'] [NormedSpace 𝕜₂ F'] {E' : B' → Type*}
   [∀ x, AddCommMonoid (E' x)] [∀ x, Module 𝕜₂ (E' x)] [TopologicalSpace (TotalSpace F' E')]
 
 variable [FiberBundle F E] [VectorBundle 𝕜₁ F E]
-
 variable [∀ x, TopologicalSpace (E' x)] [FiberBundle F' E'] [VectorBundle 𝕜₂ F' E']
-
 variable (F' E')
 
 /-- When `ϕ` is a continuous (semi)linear map between the fibers `E x` and `E' y` of two vector

chore: classify todo porting notes (#11216)

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

86f95a40

Diff

@@ -591,7 +591,7 @@ def toFiberBundleCore : FiberBundleCore ι B F :=
         ((Z.continuousOn_coordChange i j).prod_map continuousOn_id) }
 #align vector_bundle_core.to_fiber_bundle_core VectorBundleCore.toFiberBundleCore
 
--- Porting note: TODO: restore coercion
+-- Porting note (#11215): TODO: restore coercion
 -- instance toFiberBundleCoreCoe : Coe (VectorBundleCore R B F ι) (FiberBundleCore ι B F) :=
 --   ⟨toFiberBundleCore⟩
 -- #align vector_bundle_core.to_fiber_bundle_core_coe VectorBundleCore.toFiberBundleCoreCoe

chore: scope open Classical (#11199)

We remove all but one open Classicals, instead preferring to use open scoped Classical. The only real side-effect this led to is moving a couple declarations to use Exists.choose instead of Classical.choose.

The first few commits are explicitly labelled regex replaces for ease of review.

c747be0a

Diff

@@ -56,7 +56,8 @@ Vector bundle
 
 noncomputable section
 
-open Bundle Set Classical
+open scoped Classical
+open Bundle Set
 open scoped Topology
 
 variable (R : Type*) {B : Type*} (F : Type*) (E : B → Type*)

style: homogenise porting notes (#11145)

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".

8be0b69c

Diff

@@ -590,7 +590,7 @@ def toFiberBundleCore : FiberBundleCore ι B F :=
         ((Z.continuousOn_coordChange i j).prod_map continuousOn_id) }
 #align vector_bundle_core.to_fiber_bundle_core VectorBundleCore.toFiberBundleCore
 
--- porting note: TODO: restore coercion
+-- Porting note: TODO: restore coercion
 -- instance toFiberBundleCoreCoe : Coe (VectorBundleCore R B F ι) (FiberBundleCore ι B F) :=
 --   ⟨toFiberBundleCore⟩
 -- #align vector_bundle_core.to_fiber_bundle_core_coe VectorBundleCore.toFiberBundleCoreCoe
@@ -604,7 +604,7 @@ theorem coordChange_linear_comp (i j k : ι) :
 #align vector_bundle_core.coord_change_linear_comp VectorBundleCore.coordChange_linear_comp
 
 /-- The index set of a vector bundle core, as a convenience function for dot notation -/
-@[nolint unusedArguments] -- porting note: was `nolint has_nonempty_instance`
+@[nolint unusedArguments] -- Porting note: was `nolint has_nonempty_instance`
 def Index := ι
 #align vector_bundle_core.index VectorBundleCore.Index
 
@@ -615,7 +615,7 @@ def Base := B
 
 /-- The fiber of a vector bundle core, as a convenience function for dot notation and
 typeclass inference -/
-@[nolint unusedArguments] -- porting note: was `nolint has_nonempty_instance`
+@[nolint unusedArguments] -- Porting note: was `nolint has_nonempty_instance`
 def Fiber : B → Type _ :=
   Z.toFiberBundleCore.Fiber
 #align vector_bundle_core.fiber VectorBundleCore.Fiber
@@ -624,7 +624,7 @@ instance topologicalSpaceFiber (x : B) : TopologicalSpace (Z.Fiber x) :=
   Z.toFiberBundleCore.topologicalSpaceFiber x
 #align vector_bundle_core.topological_space_fiber VectorBundleCore.topologicalSpaceFiber
 
--- porting note: fixed: used to assume both `[NormedAddCommGroup F]` and `[AddCommGroupCat F]`
+-- Porting note: fixed: used to assume both `[NormedAddCommGroup F]` and `[AddCommGroupCat F]`
 instance addCommGroupFiber (x : B) : AddCommGroup (Z.Fiber x) :=
   inferInstanceAs (AddCommGroup F)
 #align vector_bundle_core.add_comm_group_fiber VectorBundleCore.addCommGroupFiber
@@ -676,7 +676,7 @@ def localTriv (i : ι) : Trivialization F (π F Z.Fiber) :=
   Z.toFiberBundleCore.localTriv i
 #align vector_bundle_core.local_triv VectorBundleCore.localTriv
 
--- porting note: moved from below to fix the next instance
+-- Porting note: moved from below to fix the next instance
 @[simp, mfld_simps]
 theorem localTriv_apply {i : ι} (p : Z.TotalSpace) :
     (Z.localTriv i) p = ⟨p.1, Z.coordChange (Z.indexAt p.1) i p.1 p.2⟩ :=
@@ -853,7 +853,7 @@ The field `exists_coordChange` is stated as an existential statement (instead of
 fields), since it depends on propositional information (namely `e e' ∈ pretrivializationAtlas`).
 This makes it inconvenient to explicitly define a `coordChange` function when constructing a
 `VectorPrebundle`. -/
--- porting note: was @[nolint has_nonempty_instance]
+-- Porting note: was @[nolint has_nonempty_instance]
 structure VectorPrebundle where
   pretrivializationAtlas : Set (Pretrivialization F (π F E))
   pretrivialization_linear' : ∀ e, e ∈ pretrivializationAtlas → e.IsLinear R
@@ -977,7 +977,7 @@ theorem toVectorBundle : @VectorBundle R _ F E _ _ _ _ _ _ a.totalSpaceTopology
       rintro _ _ ⟨e, he, rfl⟩ ⟨e', he', rfl⟩
       refine (a.continuousOn_coordChange he he').congr fun b hb ↦ ?_
       ext v
-      -- porting note: help `rw` find instances
+      -- Porting note: help `rw` find instances
       haveI h₁ := a.linear_trivializationOfMemPretrivializationAtlas he
       haveI h₂ := a.linear_trivializationOfMemPretrivializationAtlas he'
       rw [trivializationOfMemPretrivializationAtlas] at h₁ h₂

chore: remove stream-of-consciousness uses of have, replace and suffices (#10640)

No changes to tactic file, it's just boring fixes throughout the library.

This follows on from #6964.

Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

a13e8040

Diff

@@ -520,8 +520,8 @@ variable {R}
 theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π F E)) [e.IsLinear R]
     (b : B) (hb : b ∈ e.baseSet) (z : F) :
     e.toPartialHomeomorph.symm ⟨b, z⟩ = ⟨b, (e.continuousLinearEquivAt R b hb).symm z⟩ := by
-  have h : (b, z) ∈ e.target
-  · rw [e.target_eq]
+  have h : (b, z) ∈ e.target := by
+    rw [e.target_eq]
     exact ⟨hb, mem_univ _⟩
   apply e.injOn (e.map_target h)
   · simpa only [e.source_eq, mem_preimage]

chore(Topology): remove autoImplicit in some files (#9689)

... where this is easy to do.

Co-authored-by: grunweg <grunweg@posteo.de>

9410c2d8

Diff

@@ -54,8 +54,6 @@ notes" section of `Mathlib.Topology.FiberBundle.Basic`.
 Vector bundle
 -/
 
-set_option autoImplicit true
-
 noncomputable section
 
 open Bundle Set Classical
@@ -680,7 +678,7 @@ def localTriv (i : ι) : Trivialization F (π F Z.Fiber) :=
 
 -- porting note: moved from below to fix the next instance
 @[simp, mfld_simps]
-theorem localTriv_apply (p : Z.TotalSpace) :
+theorem localTriv_apply {i : ι} (p : Z.TotalSpace) :
     (Z.localTriv i) p = ⟨p.1, Z.coordChange (Z.indexAt p.1) i p.1 p.2⟩ :=
   rfl
 #align vector_bundle_core.local_triv_apply VectorBundleCore.localTriv_apply

chore: audit remaining uses of "local homeomorphism" in comments (#9245)

Almost all of them should speak about partial homeomorphisms instead. In two cases, I decided removing the "local" was clearer than adding "partial".

Follow-up to #8982; complements #9238.

a76fbc3d

Diff

@@ -848,8 +848,8 @@ open VectorBundle
 /-- This structure permits to define a vector bundle when trivializations are given as local
 equivalences but there is not yet a topology on the total space or the fibers.
 The total space is hence given a topology in such a way that there is a fiber bundle structure for
-which the local equivalences are also local homeomorphisms and hence vector bundle trivializations.
-The topology on the fibers is induced from the one on the total space.
+which the partial equivalences are also partial homeomorphisms and hence vector bundle
+trivializations. The topology on the fibers is induced from the one on the total space.
 
 The field `exists_coordChange` is stated as an existential statement (instead of 3 separate
 fields), since it depends on propositional information (namely `e e' ∈ pretrivializationAtlas`).

chore: rename LocalHomeomorph to PartialHomeomorph (#8982)

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

A future PR will rename LocalEquiv to PartialEquiv.

Zulip discussion

bbc6e56d

Diff

@@ -344,7 +344,7 @@ set_option linter.uppercaseLean3 false in
 
 theorem apply_symm_apply_eq_coordChangeL (e e' : Trivialization F (π F E)) [e.IsLinear R]
     [e'.IsLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
-    e' (e.toLocalHomeomorph.symm (b, v)) = (b, e.coordChangeL R e' b v) := by
+    e' (e.toPartialHomeomorph.symm (b, v)) = (b, e.coordChangeL R e' b v) := by
   rw [e.mk_coordChangeL e' hb, e.mk_symm hb.1]
 set_option linter.uppercaseLean3 false in
 #align trivialization.apply_symm_apply_eq_coord_changeL Trivialization.apply_symm_apply_eq_coordChangeL
@@ -354,7 +354,7 @@ right-hand side is ugly, but has good definitional properties for specifically d
 trivializations. -/
 theorem coordChangeL_apply' (e e' : Trivialization F (π F E)) [e.IsLinear R] [e'.IsLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) :
-    coordChangeL R e e' b y = (e' (e.toLocalHomeomorph.symm (b, y))).2 := by
+    coordChangeL R e e' b y = (e' (e.toPartialHomeomorph.symm (b, y))).2 := by
   rw [e.coordChangeL_apply e' hb, e.mk_symm hb.1]
 set_option linter.uppercaseLean3 false in
 #align trivialization.coord_changeL_apply' Trivialization.coordChangeL_apply'
@@ -521,7 +521,7 @@ variable {R}
 
 theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π F E)) [e.IsLinear R]
     (b : B) (hb : b ∈ e.baseSet) (z : F) :
-    e.toLocalHomeomorph.symm ⟨b, z⟩ = ⟨b, (e.continuousLinearEquivAt R b hb).symm z⟩ := by
+    e.toPartialHomeomorph.symm ⟨b, z⟩ = ⟨b, (e.continuousLinearEquivAt R b hb).symm z⟩ := by
   have h : (b, z) ∈ e.target
   · rw [e.target_eq]
     exact ⟨hb, mem_univ _⟩
@@ -649,7 +649,7 @@ protected def TotalSpace :=
 #align vector_bundle_core.total_space VectorBundleCore.TotalSpace
 
 /-- Local homeomorphism version of the trivialization change. -/
-def trivChange (i j : ι) : LocalHomeomorph (B × F) (B × F) :=
+def trivChange (i j : ι) : PartialHomeomorph (B × F) (B × F) :=
   Z.toFiberBundleCore.trivChange i j
 #align vector_bundle_core.triv_change VectorBundleCore.trivChange
 
@@ -712,7 +712,7 @@ theorem mem_localTriv_target (p : B × F) :
 
 @[simp, mfld_simps]
 theorem localTriv_symm_fst (p : B × F) :
-    (Z.localTriv i).toLocalHomeomorph.symm p = ⟨p.1, Z.coordChange i (Z.indexAt p.1) p.1 p.2⟩ :=
+    (Z.localTriv i).toPartialHomeomorph.symm p = ⟨p.1, Z.coordChange i (Z.indexAt p.1) p.1 p.2⟩ :=
   rfl
 #align vector_bundle_core.local_triv_symm_fst VectorBundleCore.localTriv_symm_fst

chore: bump to v4.3.0-rc2 (#8366)

PR contents

This is the supremum of

#8284
#8056
#8023
#8332
#8226 (already approved)
#7834 (already approved)

along with some minor fixes from failures on nightly-testing as Mathlib master is merged into it.

Note that some PRs for changes that are already compatible with the current toolchain and will be necessary have already been split out: #8380.

I am hopeful that in future we will be able to progressively merge adaptation PRs into a bump/v4.X.0 branch, so we never end up with a "big merge" like this. However one of these adaptation PRs (#8056) predates my new scheme for combined CI, and it wasn't possible to keep that PR viable in the meantime.

Lean PRs involved in this bump

In particular this includes adjustments for the Lean PRs

leanprover/lean4#2778

We can get rid of all the

local macro_rules | `($x ^ $y) => `(HPow.hPow $x $y) -- Porting note: See issue [lean4#2220](https://github.com/leanprover/lean4/pull/2220)

macros across Mathlib (and in any projects that want to write natural number powers of reals).

leanprover/lean4#2722

Changes the default behaviour of simp to (config := {decide := false}). This makes simp (and consequentially norm_num) less powerful, but also more consistent, and less likely to blow up in long failures. This requires a variety of changes: changing some previously by simp or norm_num to decide or rfl, or adding (config := {decide := true}).

leanprover/lean4#2783

This changed the behaviour of simp so that simp [f] will only unfold "fully applied" occurrences of f. The old behaviour can be recovered with simp (config := { unfoldPartialApp := true }). We may in future add a syntax for this, e.g. simp [!f]; please provide feedback! In the meantime, we have made the following changes:

switching to using explicit lemmas that have the intended level of application
(config := { unfoldPartialApp := true }) in some places, to recover the old behaviour
Using @[eqns] to manually adjust the equation lemmas for a particular definition, recovering the old behaviour just for that definition. See #8371, where we do this for Function.comp and Function.flip.

This change in Lean may require further changes down the line (e.g. adding the !f syntax, and/or upstreaming the special treatment for Function.comp and Function.flip, and/or removing this special treatment). Please keep an open and skeptical mind about these changes!

Co-authored-by: leanprover-community-mathlib4-bot <leanprover-community-mathlib4-bot@users.noreply.github.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Mauricio Collares <mauricio@collares.org>

40b64f79

Diff

@@ -914,7 +914,7 @@ def toFiberPrebundle (a : VectorPrebundle R F E) : FiberPrebundle F E :=
       rw [e.target_inter_preimage_symm_source_eq e', inter_comm]
       refine' (continuousOn_fst.prod this).congr _
       rintro ⟨b, f⟩ ⟨hb, -⟩
-      dsimp only [Function.comp, Prod.map]
+      dsimp only [Function.comp_def, Prod.map]
       rw [a.mk_coordChange _ _ hb, e'.mk_symm hb.1] }
 #align vector_prebundle.to_fiber_prebundle VectorPrebundle.toFiberPrebundle

https://github.com/leanprover-community/mathlib4/blob/4055c8b471380825f07416b12cb0cf266da44d84/Mathlib/Tactic/Simps/Basic.lean#L843-L851

style: shorten simps configurations (#8296)

Use .asFn and .lemmasOnly as simps configuration options.

For reference, these are defined here:

e0637173

Diff

@@ -100,7 +100,7 @@ protected def symmₗ (e : Pretrivialization F (π F E)) [e.IsLinear R] (b : B)
 
 /-- A pretrivialization for a vector bundle defines linear equivalences between the
 fibers and the model space. -/
-@[simps (config := { fullyApplied := false })]
+@[simps (config := .asFn)]
 def linearEquivAt (e : Pretrivialization F (π F E)) [e.IsLinear R] (b : B) (hb : b ∈ e.baseSet) :
     E b ≃ₗ[R] F where
   toFun y := (e ⟨b, y⟩).2
@@ -427,7 +427,7 @@ namespace Trivialization
 
 /-- Forward map of `Trivialization.continuousLinearEquivAt` (only propositionally equal),
   defined everywhere (`0` outside domain). -/
-@[simps (config := { fullyApplied := false }) apply]
+@[simps (config := .asFn) apply]
 def continuousLinearMapAt (e : Trivialization F (π F E)) [e.IsLinear R] (b : B) : E b →L[R] F :=
   { e.linearMapAt R b with
     toFun := e.linearMapAt R b -- given explicitly to help `simps`
@@ -440,7 +440,7 @@ def continuousLinearMapAt (e : Trivialization F (π F E)) [e.IsLinear R] (b : B)
 #align trivialization.continuous_linear_map_at Trivialization.continuousLinearMapAt
 
 /-- Backwards map of `Trivialization.continuousLinearEquivAt`, defined everywhere. -/
-@[simps (config := { fullyApplied := false }) apply]
+@[simps (config := .asFn) apply]
 def symmL (e : Trivialization F (π F E)) [e.IsLinear R] (b : B) : F →L[R] E b :=
   { e.symmₗ R b with
     toFun := e.symm b -- given explicitly to help `simps`
@@ -471,7 +471,7 @@ variable (R)
 
 /-- In a vector bundle, a trivialization in the fiber (which is a priori only linear)
 is in fact a continuous linear equiv between the fibers and the model fiber. -/
-@[simps (config := { fullyApplied := false }) apply symm_apply]
+@[simps (config := .asFn) apply symm_apply]
 def continuousLinearEquivAt (e : Trivialization F (π F E)) [e.IsLinear R] (b : B)
     (hb : b ∈ e.baseSet) : E b ≃L[R] F :=
   { e.toPretrivialization.linearEquivAt R b hb with

chore: rename isBoundedBilinearMapApply to isBoundedBilinearMap_apply (#6963)

5498737f

Diff

@@ -588,7 +588,7 @@ def toFiberBundleCore : FiberBundleCore ι B F :=
   { Z with
     coordChange := fun i j b => Z.coordChange i j b
     continuousOn_coordChange := fun i j =>
-      isBoundedBilinearMapApply.continuous.comp_continuousOn
+      isBoundedBilinearMap_apply.continuous.comp_continuousOn
         ((Z.continuousOn_coordChange i j).prod_map continuousOn_id) }
 #align vector_bundle_core.to_fiber_bundle_core VectorBundleCore.toFiberBundleCore
 
@@ -909,7 +909,7 @@ def toFiberPrebundle (a : VectorPrebundle R F E) : FiberPrebundle F E :=
     continuous_trivChange := fun e he e' he' ↦ by
       have : ContinuousOn (fun x : B × F ↦ a.coordChange he' he x.1 x.2)
           ((e'.baseSet ∩ e.baseSet) ×ˢ univ) :=
-        isBoundedBilinearMapApply.continuous.comp_continuousOn
+        isBoundedBilinearMap_apply.continuous.comp_continuousOn
           ((a.continuousOn_coordChange he' he).prod_map continuousOn_id)
       rw [e.target_inter_preimage_symm_source_eq e', inter_comm]
       refine' (continuousOn_fst.prod this).congr _

chore: tidy various files (#6577)

837c4ae2

Diff

@@ -1021,7 +1021,7 @@ definition, instead of `Trivialization.continuousLinearEquivAt`, so that
 `ContinuousLinearMap.inCoordinates_eq`).
 
 This is the (second component of the) underlying function of a trivialization of the hom-bundle
-(see `hom_trivialization_at_apply`). However, note that `ContinuousLinearMap.inCoordinates` is
+(see `hom_trivializationAt_apply`). However, note that `ContinuousLinearMap.inCoordinates` is
 defined even when `x` and `y` live in different base sets.
 Therefore, it is also convenient when working with the hom-bundle between pulled back bundles.
 -/

fix: disable autoImplicit globally (#6528)

Autoimplicits are highly controversial and also defeat the performance-improving work in #6474.

The intent of this PR is to make autoImplicit opt-in on a per-file basis, by disabling it in the lakefile and enabling it again with set_option autoImplicit true in the few files that rely on it.

That also keeps this PR small, as opposed to attempting to "fix" files to not need it any more.

I claim that many of the uses of autoImplicit in these files are accidental; situations such as:

Assuming variables are in scope, but pasting the lemma in the wrong section
Pasting in a lemma from a scratch file without checking to see if the variable names are consistent with the rest of the file
Making a copy-paste error between lemmas and forgetting to add an explicit arguments.

Having set_option autoImplicit false as the default prevents these types of mistake being made in the 90% of files where autoImplicits are not used at all, and causes them to be caught by CI during review.

I think there were various points during the port where we encouraged porters to delete the universes u v lines; I think having autoparams for universe variables only would cover a lot of the cases we actually use them, while avoiding any real shortcomings.

A Zulip poll (after combining overlapping votes accordingly) was in favor of this change with 5:5:18 as the no:dontcare:yes vote ratio.

While this PR was being reviewed, a handful of files gained some more likely-accidental autoImplicits. In these places, set_option autoImplicit true has been placed locally within a section, rather than at the top of the file.

0c24f831

Diff

@@ -54,6 +54,7 @@ notes" section of `Mathlib.Topology.FiberBundle.Basic`.
 Vector bundle
 -/
 
+set_option autoImplicit true
 
 noncomputable section

chore: banish Type _ and Sort _ (#6499)

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

This has nice performance benefits.

32de3f67

Diff

@@ -60,7 +60,7 @@ noncomputable section
 open Bundle Set Classical
 open scoped Topology
 
-variable (R : Type _) {B : Type _} (F : Type _) (E : B → Type _)
+variable (R : Type*) {B : Type*} (F : Type*) (E : B → Type*)
 
 section TopologicalVectorSpace
 
@@ -396,7 +396,7 @@ variable [NontriviallyNormedField R] [∀ x, AddCommMonoid (E x)] [∀ x, Module
   [NormedAddCommGroup F] [NormedSpace R F] [TopologicalSpace B] [TopologicalSpace (TotalSpace F E)]
   [∀ x, TopologicalSpace (E x)] [FiberBundle F E]
 
-/-- The space `Bundle.TotalSpace F E` (for `E : B → Type _` such that each `E x` is a topological
+/-- The space `Bundle.TotalSpace F E` (for `E : B → Type*` such that each `E x` is a topological
 vector space) has a topological vector space structure with fiber `F` (denoted with
 `VectorBundle R F E`) if around every point there is a fiber bundle trivialization which is linear
 in the fibers. -/
@@ -548,7 +548,7 @@ variable (B F)
 /-- Analogous construction of `FiberBundleCore` for vector bundles. This
 construction gives a way to construct vector bundles from a structure registering how
 trivialization changes act on fibers. -/
-structure VectorBundleCore (ι : Type _) where
+structure VectorBundleCore (ι : Type*) where
   baseSet : ι → Set B
   isOpen_baseSet : ∀ i, IsOpen (baseSet i)
   indexAt : B → ι
@@ -562,7 +562,7 @@ structure VectorBundleCore (ι : Type _) where
 
 /-- The trivial vector bundle core, in which all the changes of coordinates are the
 identity. -/
-def trivialVectorBundleCore (ι : Type _) [Inhabited ι] : VectorBundleCore R B F ι where
+def trivialVectorBundleCore (ι : Type*) [Inhabited ι] : VectorBundleCore R B F ι where
   baseSet _ := univ
   isOpen_baseSet _ := isOpen_univ
   indexAt := default
@@ -573,12 +573,12 @@ def trivialVectorBundleCore (ι : Type _) [Inhabited ι] : VectorBundleCore R B
   continuousOn_coordChange _ _ := continuousOn_const
 #align trivial_vector_bundle_core trivialVectorBundleCore
 
-instance (ι : Type _) [Inhabited ι] : Inhabited (VectorBundleCore R B F ι) :=
+instance (ι : Type*) [Inhabited ι] : Inhabited (VectorBundleCore R B F ι) :=
   ⟨trivialVectorBundleCore R B F ι⟩
 
 namespace VectorBundleCore
 
-variable {R B F} {ι : Type _}
+variable {R B F} {ι : Type*}
 variable (Z : VectorBundleCore R B F ι)
 
 /-- Natural identification to a `FiberBundleCore`. -/
@@ -991,15 +991,15 @@ end VectorPrebundle
 
 namespace ContinuousLinearMap
 
-variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [NontriviallyNormedField 𝕜₂]
+variable {𝕜₁ 𝕜₂ : Type*} [NontriviallyNormedField 𝕜₁] [NontriviallyNormedField 𝕜₂]
 
 variable {σ : 𝕜₁ →+* 𝕜₂}
 
-variable {B' : Type _} [TopologicalSpace B']
+variable {B' : Type*} [TopologicalSpace B']
 
 variable [NormedSpace 𝕜₁ F] [∀ x, Module 𝕜₁ (E x)] [TopologicalSpace (TotalSpace F E)]
 
-variable {F' : Type _} [NormedAddCommGroup F'] [NormedSpace 𝕜₂ F'] {E' : B' → Type _}
+variable {F' : Type*} [NormedAddCommGroup F'] [NormedSpace 𝕜₂ F'] {E' : B' → Type*}
   [∀ x, AddCommMonoid (E' x)] [∀ x, Module 𝕜₂ (E' x)] [TopologicalSpace (TotalSpace F' E')]
 
 variable [FiberBundle F E] [VectorBundle 𝕜₁ F E]

chore: fix grammar mistakes (#6121)

a16538af

Diff

@@ -1022,7 +1022,7 @@ definition, instead of `Trivialization.continuousLinearEquivAt`, so that
 This is the (second component of the) underlying function of a trivialization of the hom-bundle
 (see `hom_trivialization_at_apply`). However, note that `ContinuousLinearMap.inCoordinates` is
 defined even when `x` and `y` live in different base sets.
-Therefore, it is is also convenient when working with the hom-bundle between pulled back bundles.
+Therefore, it is also convenient when working with the hom-bundle between pulled back bundles.
 -/
 def inCoordinates (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y) : F →SL[σ] F' :=
   ((trivializationAt F' E' y₀).continuousLinearMapAt 𝕜₂ y).comp <|

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

depends on: #5966

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

89aa3a3b

Diff

@@ -2,15 +2,12 @@
 Copyright © 2020 Nicolò Cavalleri. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri, Sebastien Gouezel, Heather Macbeth, Patrick Massot, Floris van Doorn
-
-! This file was ported from Lean 3 source module topology.vector_bundle.basic
-! leanprover-community/mathlib commit e473c3198bb41f68560cab68a0529c854b618833
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.NormedSpace.BoundedLinearMaps
 import Mathlib.Topology.FiberBundle.Basic
 
+#align_import topology.vector_bundle.basic from "leanprover-community/mathlib"@"e473c3198bb41f68560cab68a0529c854b618833"
+
 /-!
 # Vector bundles

refactor: redefine Bundle.TotalSpace (#5720)

Forward-port leanprover-community/mathlib#19221

5edb251a

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri, Sebastien Gouezel, Heather Macbeth, Patrick Massot, Floris van Doorn
 
 ! This file was ported from Lean 3 source module topology.vector_bundle.basic
-! leanprover-community/mathlib commit f7ebde7ee0d1505dfccac8644ae12371aa3c1c9f
+! leanprover-community/mathlib commit e473c3198bb41f68560cab68a0529c854b618833
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -20,7 +20,7 @@ Let `B` be the base space, let `F` be a normed space over a normed field `R`, an
 `E : B → Type*` be a `FiberBundle` with fiber `F`, in which, for each `x`, the fiber `E x` is a
 topological vector space over `R`.
 
-To have a vector bundle structure on `Bundle.TotalSpace E`, one should additionally have the
+To have a vector bundle structure on `Bundle.TotalSpace F E`, one should additionally have the
 following properties:
 
 * The bundle trivializations in the trivialization atlas should be continuous linear equivs in the
@@ -73,17 +73,17 @@ variable [Semiring R] [TopologicalSpace F] [TopologicalSpace B]
 /-- A mixin class for `Pretrivialization`, stating that a pretrivialization is fiberwise linear with
 respect to given module structures on its fibers and the model fiber. -/
 protected class Pretrivialization.IsLinear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
-  [∀ x, Module R (E x)] (e : Pretrivialization F (π E)) : Prop where
-  linear : ∀ b ∈ e.baseSet, IsLinearMap R fun x : E b => (e (totalSpaceMk b x)).2
+  [∀ x, Module R (E x)] (e : Pretrivialization F (π F E)) : Prop where
+  linear : ∀ b ∈ e.baseSet, IsLinearMap R fun x : E b => (e ⟨b, x⟩).2
 #align pretrivialization.is_linear Pretrivialization.IsLinear
 
 namespace Pretrivialization
 
-variable (e : Pretrivialization F (π E)) {x : TotalSpace E} {b : B} {y : E b}
+variable (e : Pretrivialization F (π F E)) {x : TotalSpace F E} {b : B} {y : E b}
 
 theorem linear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)] [∀ x, Module R (E x)]
     [e.IsLinear R] {b : B} (hb : b ∈ e.baseSet) :
-    IsLinearMap R fun x : E b => (e (totalSpaceMk b x)).2 :=
+    IsLinearMap R fun x : E b => (e ⟨b, x⟩).2 :=
   Pretrivialization.IsLinear.linear b hb
 #align pretrivialization.linear Pretrivialization.linear
 
@@ -91,7 +91,7 @@ variable [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)] [∀ x, Mod
 
 /-- A fiberwise linear inverse to `e`. -/
 @[simps!]
-protected def symmₗ (e : Pretrivialization F (π E)) [e.IsLinear R] (b : B) : F →ₗ[R] E b := by
+protected def symmₗ (e : Pretrivialization F (π F E)) [e.IsLinear R] (b : B) : F →ₗ[R] E b := by
   refine' IsLinearMap.mk' (e.symm b) _
   by_cases hb : b ∈ e.baseSet
   · exact (((e.linear R hb).mk' _).inverse (e.symm b) (e.symm_apply_apply_mk hb) fun v ↦
@@ -103,9 +103,9 @@ protected def symmₗ (e : Pretrivialization F (π E)) [e.IsLinear R] (b : B) :
 /-- A pretrivialization for a vector bundle defines linear equivalences between the
 fibers and the model space. -/
 @[simps (config := { fullyApplied := false })]
-def linearEquivAt (e : Pretrivialization F (π E)) [e.IsLinear R] (b : B) (hb : b ∈ e.baseSet) :
+def linearEquivAt (e : Pretrivialization F (π F E)) [e.IsLinear R] (b : B) (hb : b ∈ e.baseSet) :
     E b ≃ₗ[R] F where
-  toFun y := (e (totalSpaceMk b y)).2
+  toFun y := (e ⟨b, y⟩).2
   invFun := e.symm b
   left_inv := e.symm_apply_apply_mk hb
   right_inv v := by simp_rw [e.apply_mk_symm hb v]
@@ -114,50 +114,50 @@ def linearEquivAt (e : Pretrivialization F (π E)) [e.IsLinear R] (b : B) (hb :
 #align pretrivialization.linear_equiv_at Pretrivialization.linearEquivAt
 
 /-- A fiberwise linear map equal to `e` on `e.baseSet`. -/
-protected def linearMapAt (e : Pretrivialization F (π E)) [e.IsLinear R] (b : B) : E b →ₗ[R] F :=
+protected def linearMapAt (e : Pretrivialization F (π F E)) [e.IsLinear R] (b : B) : E b →ₗ[R] F :=
   if hb : b ∈ e.baseSet then e.linearEquivAt R b hb else 0
 #align pretrivialization.linear_map_at Pretrivialization.linearMapAt
 
 variable {R}
 
-theorem coe_linearMapAt (e : Pretrivialization F (π E)) [e.IsLinear R] (b : B) :
-    ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
+theorem coe_linearMapAt (e : Pretrivialization F (π F E)) [e.IsLinear R] (b : B) :
+    ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e ⟨b, y⟩).2 else 0 := by
   rw [Pretrivialization.linearMapAt]
   split_ifs <;> rfl
 #align pretrivialization.coe_linear_map_at Pretrivialization.coe_linearMapAt
 
-theorem coe_linearMapAt_of_mem (e : Pretrivialization F (π E)) [e.IsLinear R] {b : B}
-    (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e (totalSpaceMk b y)).2 := by
+theorem coe_linearMapAt_of_mem (e : Pretrivialization F (π F E)) [e.IsLinear R] {b : B}
+    (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e ⟨b, y⟩).2 := by
   simp_rw [coe_linearMapAt, if_pos hb]
 #align pretrivialization.coe_linear_map_at_of_mem Pretrivialization.coe_linearMapAt_of_mem
 
-theorem linearMapAt_apply (e : Pretrivialization F (π E)) [e.IsLinear R] {b : B} (y : E b) :
-    e.linearMapAt R b y = if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
+theorem linearMapAt_apply (e : Pretrivialization F (π F E)) [e.IsLinear R] {b : B} (y : E b) :
+    e.linearMapAt R b y = if b ∈ e.baseSet then (e ⟨b, y⟩).2 else 0 := by
   rw [coe_linearMapAt]
 #align pretrivialization.linear_map_at_apply Pretrivialization.linearMapAt_apply
 
-theorem linearMapAt_def_of_mem (e : Pretrivialization F (π E)) [e.IsLinear R] {b : B}
+theorem linearMapAt_def_of_mem (e : Pretrivialization F (π F E)) [e.IsLinear R] {b : B}
     (hb : b ∈ e.baseSet) : e.linearMapAt R b = e.linearEquivAt R b hb :=
   dif_pos hb
 #align pretrivialization.linear_map_at_def_of_mem Pretrivialization.linearMapAt_def_of_mem
 
-theorem linearMapAt_def_of_not_mem (e : Pretrivialization F (π E)) [e.IsLinear R] {b : B}
+theorem linearMapAt_def_of_not_mem (e : Pretrivialization F (π F E)) [e.IsLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
   dif_neg hb
 #align pretrivialization.linear_map_at_def_of_not_mem Pretrivialization.linearMapAt_def_of_not_mem
 
-theorem linearMapAt_eq_zero (e : Pretrivialization F (π E)) [e.IsLinear R] {b : B}
+theorem linearMapAt_eq_zero (e : Pretrivialization F (π F E)) [e.IsLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
   dif_neg hb
 #align pretrivialization.linear_map_at_eq_zero Pretrivialization.linearMapAt_eq_zero
 
-theorem symmₗ_linearMapAt (e : Pretrivialization F (π E)) [e.IsLinear R] {b : B}
+theorem symmₗ_linearMapAt (e : Pretrivialization F (π F E)) [e.IsLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : E b) : e.symmₗ R b (e.linearMapAt R b y) = y := by
   rw [e.linearMapAt_def_of_mem hb]
   exact (e.linearEquivAt R b hb).left_inv y
 #align pretrivialization.symmₗ_linear_map_at Pretrivialization.symmₗ_linearMapAt
 
-theorem linearMapAt_symmₗ (e : Pretrivialization F (π E)) [e.IsLinear R] {b : B}
+theorem linearMapAt_symmₗ (e : Pretrivialization F (π F E)) [e.IsLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : F) : e.linearMapAt R b (e.symmₗ R b y) = y := by
   rw [e.linearMapAt_def_of_mem hb]
   exact (e.linearEquivAt R b hb).right_inv y
@@ -165,22 +165,22 @@ theorem linearMapAt_symmₗ (e : Pretrivialization F (π E)) [e.IsLinear R] {b :
 
 end Pretrivialization
 
-variable [TopologicalSpace (TotalSpace E)]
+variable [TopologicalSpace (TotalSpace F E)]
 
 /-- A mixin class for `Trivialization`, stating that a trivialization is fiberwise linear with
 respect to given module structures on its fibers and the model fiber. -/
 protected class Trivialization.IsLinear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
-  [∀ x, Module R (E x)] (e : Trivialization F (π E)) : Prop where
-  linear : ∀ b ∈ e.baseSet, IsLinearMap R fun x : E b => (e (totalSpaceMk b x)).2
+  [∀ x, Module R (E x)] (e : Trivialization F (π F E)) : Prop where
+  linear : ∀ b ∈ e.baseSet, IsLinearMap R fun x : E b => (e ⟨b, x⟩).2
 #align trivialization.is_linear Trivialization.IsLinear
 
 namespace Trivialization
 
-variable (e : Trivialization F (π E)) {x : TotalSpace E} {b : B} {y : E b}
+variable (e : Trivialization F (π F E)) {x : TotalSpace F E} {b : B} {y : E b}
 
 protected theorem linear [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)]
     [∀ x, Module R (E x)] [e.IsLinear R] {b : B} (hb : b ∈ e.baseSet) :
-    IsLinearMap R fun y : E b => (e (totalSpaceMk b y)).2 :=
+    IsLinearMap R fun y : E b => (e ⟨b, y⟩).2 :=
   Trivialization.IsLinear.linear b hb
 #align trivialization.linear Trivialization.linear
 
@@ -193,7 +193,7 @@ variable [AddCommMonoid F] [Module R F] [∀ x, AddCommMonoid (E x)] [∀ x, Mod
 
 /-- A trivialization for a vector bundle defines linear equivalences between the
 fibers and the model space. -/
-def linearEquivAt (e : Trivialization F (π E)) [e.IsLinear R] (b : B) (hb : b ∈ e.baseSet) :
+def linearEquivAt (e : Trivialization F (π F E)) [e.IsLinear R] (b : B) (hb : b ∈ e.baseSet) :
     E b ≃ₗ[R] F :=
   e.toPretrivialization.linearEquivAt R b hb
 #align trivialization.linear_equiv_at Trivialization.linearEquivAt
@@ -201,13 +201,13 @@ def linearEquivAt (e : Trivialization F (π E)) [e.IsLinear R] (b : B) (hb : b 
 variable {R}
 
 @[simp]
-theorem linearEquivAt_apply (e : Trivialization F (π E)) [e.IsLinear R] (b : B) (hb : b ∈ e.baseSet)
-    (v : E b) : e.linearEquivAt R b hb v = (e (totalSpaceMk b v)).2 :=
+theorem linearEquivAt_apply (e : Trivialization F (π F E)) [e.IsLinear R] (b : B)
+    (hb : b ∈ e.baseSet) (v : E b) : e.linearEquivAt R b hb v = (e ⟨b, v⟩).2 :=
   rfl
 #align trivialization.linear_equiv_at_apply Trivialization.linearEquivAt_apply
 
 @[simp]
-theorem linearEquivAt_symm_apply (e : Trivialization F (π E)) [e.IsLinear R] (b : B)
+theorem linearEquivAt_symm_apply (e : Trivialization F (π F E)) [e.IsLinear R] (b : B)
     (hb : b ∈ e.baseSet) (v : F) : (e.linearEquivAt R b hb).symm v = e.symm b v :=
   rfl
 #align trivialization.linear_equiv_at_symm_apply Trivialization.linearEquivAt_symm_apply
@@ -215,56 +215,57 @@ theorem linearEquivAt_symm_apply (e : Trivialization F (π E)) [e.IsLinear R] (b
 variable (R)
 
 /-- A fiberwise linear inverse to `e`. -/
-protected def symmₗ (e : Trivialization F (π E)) [e.IsLinear R] (b : B) : F →ₗ[R] E b :=
+protected def symmₗ (e : Trivialization F (π F E)) [e.IsLinear R] (b : B) : F →ₗ[R] E b :=
   e.toPretrivialization.symmₗ R b
 #align trivialization.symmₗ Trivialization.symmₗ
 
 variable {R}
 
-theorem coe_symmₗ (e : Trivialization F (π E)) [e.IsLinear R] (b : B) : ⇑(e.symmₗ R b) = e.symm b :=
+theorem coe_symmₗ (e : Trivialization F (π F E)) [e.IsLinear R] (b : B) :
+    ⇑(e.symmₗ R b) = e.symm b :=
   rfl
 #align trivialization.coe_symmₗ Trivialization.coe_symmₗ
 
 variable (R)
 
 /-- A fiberwise linear map equal to `e` on `e.baseSet`. -/
-protected def linearMapAt (e : Trivialization F (π E)) [e.IsLinear R] (b : B) : E b →ₗ[R] F :=
+protected def linearMapAt (e : Trivialization F (π F E)) [e.IsLinear R] (b : B) : E b →ₗ[R] F :=
   e.toPretrivialization.linearMapAt R b
 #align trivialization.linear_map_at Trivialization.linearMapAt
 
 variable {R}
 
-theorem coe_linearMapAt (e : Trivialization F (π E)) [e.IsLinear R] (b : B) :
-    ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 :=
+theorem coe_linearMapAt (e : Trivialization F (π F E)) [e.IsLinear R] (b : B) :
+    ⇑(e.linearMapAt R b) = fun y => if b ∈ e.baseSet then (e ⟨b, y⟩).2 else 0 :=
   e.toPretrivialization.coe_linearMapAt b
 #align trivialization.coe_linear_map_at Trivialization.coe_linearMapAt
 
-theorem coe_linearMapAt_of_mem (e : Trivialization F (π E)) [e.IsLinear R] {b : B}
-    (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e (totalSpaceMk b y)).2 := by
+theorem coe_linearMapAt_of_mem (e : Trivialization F (π F E)) [e.IsLinear R] {b : B}
+    (hb : b ∈ e.baseSet) : ⇑(e.linearMapAt R b) = fun y => (e ⟨b, y⟩).2 := by
   simp_rw [coe_linearMapAt, if_pos hb]
 #align trivialization.coe_linear_map_at_of_mem Trivialization.coe_linearMapAt_of_mem
 
-theorem linearMapAt_apply (e : Trivialization F (π E)) [e.IsLinear R] {b : B} (y : E b) :
-    e.linearMapAt R b y = if b ∈ e.baseSet then (e (totalSpaceMk b y)).2 else 0 := by
+theorem linearMapAt_apply (e : Trivialization F (π F E)) [e.IsLinear R] {b : B} (y : E b) :
+    e.linearMapAt R b y = if b ∈ e.baseSet then (e ⟨b, y⟩).2 else 0 := by
   rw [coe_linearMapAt]
 #align trivialization.linear_map_at_apply Trivialization.linearMapAt_apply
 
-theorem linearMapAt_def_of_mem (e : Trivialization F (π E)) [e.IsLinear R] {b : B}
+theorem linearMapAt_def_of_mem (e : Trivialization F (π F E)) [e.IsLinear R] {b : B}
     (hb : b ∈ e.baseSet) : e.linearMapAt R b = e.linearEquivAt R b hb :=
   dif_pos hb
 #align trivialization.linear_map_at_def_of_mem Trivialization.linearMapAt_def_of_mem
 
-theorem linearMapAt_def_of_not_mem (e : Trivialization F (π E)) [e.IsLinear R] {b : B}
+theorem linearMapAt_def_of_not_mem (e : Trivialization F (π F E)) [e.IsLinear R] {b : B}
     (hb : b ∉ e.baseSet) : e.linearMapAt R b = 0 :=
   dif_neg hb
 #align trivialization.linear_map_at_def_of_not_mem Trivialization.linearMapAt_def_of_not_mem
 
-theorem symmₗ_linearMapAt (e : Trivialization F (π E)) [e.IsLinear R] {b : B} (hb : b ∈ e.baseSet)
+theorem symmₗ_linearMapAt (e : Trivialization F (π F E)) [e.IsLinear R] {b : B} (hb : b ∈ e.baseSet)
     (y : E b) : e.symmₗ R b (e.linearMapAt R b y) = y :=
   e.toPretrivialization.symmₗ_linearMapAt hb y
 #align trivialization.symmₗ_linear_map_at Trivialization.symmₗ_linearMapAt
 
-theorem linearMapAt_symmₗ (e : Trivialization F (π E)) [e.IsLinear R] {b : B} (hb : b ∈ e.baseSet)
+theorem linearMapAt_symmₗ (e : Trivialization F (π F E)) [e.IsLinear R] {b : B} (hb : b ∈ e.baseSet)
     (y : F) : e.linearMapAt R b (e.symmₗ R b y) = y :=
   e.toPretrivialization.linearMapAt_symmₗ hb y
 #align trivialization.linear_map_at_symmₗ Trivialization.linearMapAt_symmₗ
@@ -274,7 +275,7 @@ variable (R)
 
 /-- A coordinate change function between two trivializations, as a continuous linear equivalence.
   Defined to be the identity when `b` does not lie in the base set of both trivializations. -/
-def coordChangeL (e e' : Trivialization F (π E)) [e.IsLinear R] [e'.IsLinear R] (b : B) :
+def coordChangeL (e e' : Trivialization F (π F E)) [e.IsLinear R] [e'.IsLinear R] (b : B) :
     F ≃L[R] F :=
   { toLinearEquiv := if hb : b ∈ e.baseSet ∩ e'.baseSet
       then (e.linearEquivAt R b (hb.1 : _)).symm.trans (e'.linearEquivAt R b hb.2)
@@ -302,14 +303,14 @@ set_option linter.uppercaseLean3 false in
 
 variable {R}
 
-theorem coe_coordChangeL (e e' : Trivialization F (π E)) [e.IsLinear R] [e'.IsLinear R] {b : B}
+theorem coe_coordChangeL (e e' : Trivialization F (π F E)) [e.IsLinear R] [e'.IsLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     ⇑(coordChangeL R e e' b) = (e.linearEquivAt R b hb.1).symm.trans (e'.linearEquivAt R b hb.2) :=
   congr_arg (fun f : F ≃ₗ[R] F ↦ ⇑f) (dif_pos hb)
 set_option linter.uppercaseLean3 false in
 #align trivialization.coe_coord_changeL Trivialization.coe_coordChangeL
 
-theorem coe_coordChangeL' (e e' : Trivialization F (π E)) [e.IsLinear R] [e'.IsLinear R] {b : B}
+theorem coe_coordChangeL' (e e' : Trivialization F (π F E)) [e.IsLinear R] [e'.IsLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     (coordChangeL R e e' b).toLinearEquiv =
       (e.linearEquivAt R b hb.1).symm.trans (e'.linearEquivAt R b hb.2) :=
@@ -317,7 +318,7 @@ theorem coe_coordChangeL' (e e' : Trivialization F (π E)) [e.IsLinear R] [e'.Is
 set_option linter.uppercaseLean3 false in
 #align trivialization.coe_coord_changeL' Trivialization.coe_coordChangeL'
 
-theorem symm_coordChangeL (e e' : Trivialization F (π E)) [e.IsLinear R] [e'.IsLinear R] {b : B}
+theorem symm_coordChangeL (e e' : Trivialization F (π F E)) [e.IsLinear R] [e'.IsLinear R] {b : B}
     (hb : b ∈ e'.baseSet ∩ e.baseSet) : (e.coordChangeL R e' b).symm = e'.coordChangeL R e b := by
   apply ContinuousLinearEquiv.toLinearEquiv_injective
   rw [coe_coordChangeL' e' e hb, (coordChangeL R e e' b).symm_toLinearEquiv,
@@ -325,16 +326,16 @@ theorem symm_coordChangeL (e e' : Trivialization F (π E)) [e.IsLinear R] [e'.Is
 set_option linter.uppercaseLean3 false in
 #align trivialization.symm_coord_changeL Trivialization.symm_coordChangeL
 
-theorem coordChangeL_apply (e e' : Trivialization F (π E)) [e.IsLinear R] [e'.IsLinear R] {b : B}
+theorem coordChangeL_apply (e e' : Trivialization F (π F E)) [e.IsLinear R] [e'.IsLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) :
-    coordChangeL R e e' b y = (e' (totalSpaceMk b (e.symm b y))).2 :=
+    coordChangeL R e e' b y = (e' ⟨b, e.symm b y⟩).2 :=
   congr_fun (coe_coordChangeL e e' hb) y
 set_option linter.uppercaseLean3 false in
 #align trivialization.coord_changeL_apply Trivialization.coordChangeL_apply
 
-theorem mk_coordChangeL (e e' : Trivialization F (π E)) [e.IsLinear R] [e'.IsLinear R] {b : B}
+theorem mk_coordChangeL (e e' : Trivialization F (π F E)) [e.IsLinear R] [e'.IsLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) :
-    (b, coordChangeL R e e' b y) = e' (totalSpaceMk b (e.symm b y)) := by
+    (b, coordChangeL R e e' b y) = e' ⟨b, e.symm b y⟩ := by
   ext
   · rw [e.mk_symm hb.1 y, e'.coe_fst', e.proj_symm_apply' hb.1]
     rw [e.proj_symm_apply' hb.1]
@@ -343,7 +344,7 @@ theorem mk_coordChangeL (e e' : Trivialization F (π E)) [e.IsLinear R] [e'.IsLi
 set_option linter.uppercaseLean3 false in
 #align trivialization.mk_coord_changeL Trivialization.mk_coordChangeL
 
-theorem apply_symm_apply_eq_coordChangeL (e e' : Trivialization F (π E)) [e.IsLinear R]
+theorem apply_symm_apply_eq_coordChangeL (e e' : Trivialization F (π F E)) [e.IsLinear R]
     [e'.IsLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
     e' (e.toLocalHomeomorph.symm (b, v)) = (b, e.coordChangeL R e' b v) := by
   rw [e.mk_coordChangeL e' hb, e.mk_symm hb.1]
@@ -353,14 +354,14 @@ set_option linter.uppercaseLean3 false in
 /-- A version of `Trivialization.coordChangeL_apply` that fully unfolds `coordChange`. The
 right-hand side is ugly, but has good definitional properties for specifically defined
 trivializations. -/
-theorem coordChangeL_apply' (e e' : Trivialization F (π E)) [e.IsLinear R] [e'.IsLinear R] {b : B}
+theorem coordChangeL_apply' (e e' : Trivialization F (π F E)) [e.IsLinear R] [e'.IsLinear R] {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (y : F) :
     coordChangeL R e e' b y = (e' (e.toLocalHomeomorph.symm (b, y))).2 := by
   rw [e.coordChangeL_apply e' hb, e.mk_symm hb.1]
 set_option linter.uppercaseLean3 false in
 #align trivialization.coord_changeL_apply' Trivialization.coordChangeL_apply'
 
-theorem coordChangeL_symm_apply (e e' : Trivialization F (π E)) [e.IsLinear R] [e'.IsLinear R]
+theorem coordChangeL_symm_apply (e e' : Trivialization F (π F E)) [e.IsLinear R] [e'.IsLinear R]
     {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     ⇑(coordChangeL R e e' b).symm =
       (e'.linearEquivAt R b hb.2).symm.trans (e.linearEquivAt R b hb.1) :=
@@ -377,16 +378,16 @@ section
 namespace Bundle
 
 /-- The zero section of a vector bundle -/
-def zeroSection [∀ x, Zero (E x)] : B → TotalSpace E := fun x => totalSpaceMk x 0
+def zeroSection [∀ x, Zero (E x)] : B → TotalSpace F E := (⟨·, 0⟩)
 #align bundle.zero_section Bundle.zeroSection
 
 @[simp, mfld_simps]
-theorem zeroSection_proj [∀ x, Zero (E x)] (x : B) : (zeroSection E x).proj = x :=
+theorem zeroSection_proj [∀ x, Zero (E x)] (x : B) : (zeroSection F E x).proj = x :=
   rfl
 #align bundle.zero_section_proj Bundle.zeroSection_proj
 
 @[simp, mfld_simps]
-theorem zeroSection_snd [∀ x, Zero (E x)] (x : B) : (zeroSection E x).2 = 0 :=
+theorem zeroSection_snd [∀ x, Zero (E x)] (x : B) : (zeroSection F E x).2 = 0 :=
   rfl
 #align bundle.zero_section_snd Bundle.zeroSection_snd
 
@@ -395,29 +396,29 @@ end Bundle
 open Bundle
 
 variable [NontriviallyNormedField R] [∀ x, AddCommMonoid (E x)] [∀ x, Module R (E x)]
-  [NormedAddCommGroup F] [NormedSpace R F] [TopologicalSpace B] [TopologicalSpace (TotalSpace E)]
+  [NormedAddCommGroup F] [NormedSpace R F] [TopologicalSpace B] [TopologicalSpace (TotalSpace F E)]
   [∀ x, TopologicalSpace (E x)] [FiberBundle F E]
 
-/-- The space `Bundle.TotalSpace E` (for `E : B → Type _` such that each `E x` is a topological
+/-- The space `Bundle.TotalSpace F E` (for `E : B → Type _` such that each `E x` is a topological
 vector space) has a topological vector space structure with fiber `F` (denoted with
 `VectorBundle R F E`) if around every point there is a fiber bundle trivialization which is linear
 in the fibers. -/
 class VectorBundle : Prop where
-  trivialization_linear' : ∀ (e : Trivialization F (π E)) [MemTrivializationAtlas e], e.IsLinear R
+  trivialization_linear' : ∀ (e : Trivialization F (π F E)) [MemTrivializationAtlas e], e.IsLinear R
   continuousOn_coordChange' :
-    ∀ (e e' : Trivialization F (π E)) [MemTrivializationAtlas e] [MemTrivializationAtlas e'],
+    ∀ (e e' : Trivialization F (π F E)) [MemTrivializationAtlas e] [MemTrivializationAtlas e'],
       ContinuousOn (fun b => Trivialization.coordChangeL R e e' b : B → F →L[R] F)
         (e.baseSet ∩ e'.baseSet)
 #align vector_bundle VectorBundle
 
 variable {F E}
 
-instance (priority := 100) trivialization_linear [VectorBundle R F E] (e : Trivialization F (π E))
+instance (priority := 100) trivialization_linear [VectorBundle R F E] (e : Trivialization F (π F E))
     [MemTrivializationAtlas e] : e.IsLinear R :=
   VectorBundle.trivialization_linear' e
 #align trivialization_linear trivialization_linear
 
-theorem continuousOn_coordChange [VectorBundle R F E] (e e' : Trivialization F (π E))
+theorem continuousOn_coordChange [VectorBundle R F E] (e e' : Trivialization F (π F E))
     [MemTrivializationAtlas e] [MemTrivializationAtlas e'] :
     ContinuousOn (fun b => Trivialization.coordChangeL R e e' b : B → F →L[R] F)
       (e.baseSet ∩ e'.baseSet) :=
@@ -429,7 +430,7 @@ namespace Trivialization
 /-- Forward map of `Trivialization.continuousLinearEquivAt` (only propositionally equal),
   defined everywhere (`0` outside domain). -/
 @[simps (config := { fullyApplied := false }) apply]
-def continuousLinearMapAt (e : Trivialization F (π E)) [e.IsLinear R] (b : B) : E b →L[R] F :=
+def continuousLinearMapAt (e : Trivialization F (π F E)) [e.IsLinear R] (b : B) : E b →L[R] F :=
   { e.linearMapAt R b with
     toFun := e.linearMapAt R b -- given explicitly to help `simps`
     cont := by
@@ -442,7 +443,7 @@ def continuousLinearMapAt (e : Trivialization F (π E)) [e.IsLinear R] (b : B) :
 
 /-- Backwards map of `Trivialization.continuousLinearEquivAt`, defined everywhere. -/
 @[simps (config := { fullyApplied := false }) apply]
-def symmL (e : Trivialization F (π E)) [e.IsLinear R] (b : B) : F →L[R] E b :=
+def symmL (e : Trivialization F (π F E)) [e.IsLinear R] (b : B) : F →L[R] E b :=
   { e.symmₗ R b with
     toFun := e.symm b -- given explicitly to help `simps`
     cont := by
@@ -456,13 +457,13 @@ set_option linter.uppercaseLean3 false in
 
 variable {R}
 
-theorem symmL_continuousLinearMapAt (e : Trivialization F (π E)) [e.IsLinear R] {b : B}
+theorem symmL_continuousLinearMapAt (e : Trivialization F (π F E)) [e.IsLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : E b) : e.symmL R b (e.continuousLinearMapAt R b y) = y :=
   e.symmₗ_linearMapAt hb y
 set_option linter.uppercaseLean3 false in
 #align trivialization.symmL_continuous_linear_map_at Trivialization.symmL_continuousLinearMapAt
 
-theorem continuousLinearMapAt_symmL (e : Trivialization F (π E)) [e.IsLinear R] {b : B}
+theorem continuousLinearMapAt_symmL (e : Trivialization F (π F E)) [e.IsLinear R] {b : B}
     (hb : b ∈ e.baseSet) (y : F) : e.continuousLinearMapAt R b (e.symmL R b y) = y :=
   e.linearMapAt_symmₗ hb y
 set_option linter.uppercaseLean3 false in
@@ -473,10 +474,10 @@ variable (R)
 /-- In a vector bundle, a trivialization in the fiber (which is a priori only linear)
 is in fact a continuous linear equiv between the fibers and the model fiber. -/
 @[simps (config := { fullyApplied := false }) apply symm_apply]
-def continuousLinearEquivAt (e : Trivialization F (π E)) [e.IsLinear R] (b : B)
+def continuousLinearEquivAt (e : Trivialization F (π F E)) [e.IsLinear R] (b : B)
     (hb : b ∈ e.baseSet) : E b ≃L[R] F :=
   { e.toPretrivialization.linearEquivAt R b hb with
-    toFun := fun y => (e (totalSpaceMk b y)).2 -- given explicitly to help `simps`
+    toFun := fun y => (e ⟨b, y⟩).2 -- given explicitly to help `simps`
     invFun := e.symm b -- given explicitly to help `simps`
     continuous_toFun := (e.continuousOn.comp_continuous
       (FiberBundle.totalSpaceMk_inducing F E b).continuous fun _ => e.mem_source.mpr hb).snd
@@ -485,26 +486,26 @@ def continuousLinearEquivAt (e : Trivialization F (π E)) [e.IsLinear R] (b : B)
 
 variable {R}
 
-theorem coe_continuousLinearEquivAt_eq (e : Trivialization F (π E)) [e.IsLinear R] {b : B}
+theorem coe_continuousLinearEquivAt_eq (e : Trivialization F (π F E)) [e.IsLinear R] {b : B}
     (hb : b ∈ e.baseSet) :
     (e.continuousLinearEquivAt R b hb : E b → F) = e.continuousLinearMapAt R b :=
   (e.coe_linearMapAt_of_mem hb).symm
 #align trivialization.coe_continuous_linear_equiv_at_eq Trivialization.coe_continuousLinearEquivAt_eq
 
-theorem symm_continuousLinearEquivAt_eq (e : Trivialization F (π E)) [e.IsLinear R] {b : B}
+theorem symm_continuousLinearEquivAt_eq (e : Trivialization F (π F E)) [e.IsLinear R] {b : B}
     (hb : b ∈ e.baseSet) : ((e.continuousLinearEquivAt R b hb).symm : F → E b) = e.symmL R b :=
   rfl
 #align trivialization.symm_continuous_linear_equiv_at_eq Trivialization.symm_continuousLinearEquivAt_eq
 
 @[simp, nolint simpNF] -- `simp` can prove it but `dsimp` can't; todo: prove `Sigma.eta` with `rfl`
-theorem continuousLinearEquivAt_apply' (e : Trivialization F (π E)) [e.IsLinear R]
-    (x : TotalSpace E) (hx : x ∈ e.source) :
+theorem continuousLinearEquivAt_apply' (e : Trivialization F (π F E)) [e.IsLinear R]
+    (x : TotalSpace F E) (hx : x ∈ e.source) :
     e.continuousLinearEquivAt R x.proj (e.mem_source.1 hx) x.2 = (e x).2 := rfl
 #align trivialization.continuous_linear_equiv_at_apply' Trivialization.continuousLinearEquivAt_apply'
 
 variable (R)
 
-theorem apply_eq_prod_continuousLinearEquivAt (e : Trivialization F (π E)) [e.IsLinear R] (b : B)
+theorem apply_eq_prod_continuousLinearEquivAt (e : Trivialization F (π F E)) [e.IsLinear R] (b : B)
     (hb : b ∈ e.baseSet) (z : E b) : e ⟨b, z⟩ = (b, e.continuousLinearEquivAt R b hb z) := by
   ext
   · refine' e.coe_fst _
@@ -513,17 +514,16 @@ theorem apply_eq_prod_continuousLinearEquivAt (e : Trivialization F (π E)) [e.I
   · simp only [coe_coe, continuousLinearEquivAt_apply]
 #align trivialization.apply_eq_prod_continuous_linear_equiv_at Trivialization.apply_eq_prod_continuousLinearEquivAt
 
-protected theorem zeroSection (e : Trivialization F (π E)) [e.IsLinear R] {x : B}
-    (hx : x ∈ e.baseSet) : e (zeroSection E x) = (x, 0) := by
-  simp_rw [zeroSection, totalSpaceMk, e.apply_eq_prod_continuousLinearEquivAt R x hx 0, map_zero]
+protected theorem zeroSection (e : Trivialization F (π F E)) [e.IsLinear R] {x : B}
+    (hx : x ∈ e.baseSet) : e (zeroSection F E x) = (x, 0) := by
+  simp_rw [zeroSection, e.apply_eq_prod_continuousLinearEquivAt R x hx 0, map_zero]
 #align trivialization.zero_section Trivialization.zeroSection
 
 variable {R}
 
-theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π E)) [e.IsLinear R]
+theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π F E)) [e.IsLinear R]
     (b : B) (hb : b ∈ e.baseSet) (z : F) :
-    e.toLocalHomeomorph.symm ⟨b, z⟩ =
-      totalSpaceMk b ((e.continuousLinearEquivAt R b hb).symm z) := by
+    e.toLocalHomeomorph.symm ⟨b, z⟩ = ⟨b, (e.continuousLinearEquivAt R b hb).symm z⟩ := by
   have h : (b, z) ∈ e.target
   · rw [e.target_eq]
     exact ⟨hb, mem_univ _⟩
@@ -533,8 +533,8 @@ theorem symm_apply_eq_mk_continuousLinearEquivAt_symm (e : Trivialization F (π
       ContinuousLinearEquiv.apply_symm_apply]
 #align trivialization.symm_apply_eq_mk_continuous_linear_equiv_at_symm Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm
 
-theorem comp_continuousLinearEquivAt_eq_coord_change (e e' : Trivialization F (π E)) [e.IsLinear R]
-    [e'.IsLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) :
+theorem comp_continuousLinearEquivAt_eq_coord_change (e e' : Trivialization F (π F E))
+    [e.IsLinear R] [e'.IsLinear R] {b : B} (hb : b ∈ e.baseSet ∩ e'.baseSet) :
     (e.continuousLinearEquivAt R b hb.1).symm.trans (e'.continuousLinearEquivAt R b hb.2) =
       coordChangeL R e e' b := by
   ext v
@@ -639,16 +639,15 @@ instance moduleFiber (x : B) : Module R (Z.Fiber x) :=
 
 /-- The projection from the total space of a fiber bundle core, on its base. -/
 @[reducible, simp, mfld_simps]
-protected def proj : TotalSpace Z.Fiber → B :=
+protected def proj : TotalSpace F Z.Fiber → B :=
   TotalSpace.proj
 #align vector_bundle_core.proj VectorBundleCore.proj
 
 /-- The total space of the vector bundle, as a convenience function for dot notation.
-It is by definition equal to `Bundle.TotalSpace Z.fiber`, a.k.a. `Σ x, Z.fiber x` but with a
-different name for typeclass inference. -/
+It is by definition equal to `Bundle.TotalSpace F Z.Fiber`. -/
 @[nolint unusedArguments, reducible]
 protected def TotalSpace :=
-  Bundle.TotalSpace Z.Fiber
+  Bundle.TotalSpace F Z.Fiber
 #align vector_bundle_core.total_space VectorBundleCore.TotalSpace
 
 /-- Local homeomorphism version of the trivialization change. -/
@@ -677,7 +676,7 @@ theorem coe_coordChange (i j : ι) : Z.toFiberBundleCore.coordChange i j b = Z.c
 
 /-- One of the standard local trivializations of a vector bundle constructed from core, taken by
 considering this in particular as a fiber bundle constructed from core. -/
-def localTriv (i : ι) : Trivialization F (π Z.Fiber) :=
+def localTriv (i : ι) : Trivialization F (π F Z.Fiber) :=
   Z.toFiberBundleCore.localTriv i
 #align vector_bundle_core.local_triv VectorBundleCore.localTriv
 
@@ -734,7 +733,7 @@ theorem localTriv_coordChange_eq {b : B} (hb : b ∈ Z.baseSet i ∩ Z.baseSet j
 
 /-- Preferred local trivialization of a vector bundle constructed from core, at a given point, as
 a bundle trivialization -/
-def localTrivAt (b : B) : Trivialization F (π Z.Fiber) :=
+def localTrivAt (b : B) : Trivialization F (π F Z.Fiber) :=
   Z.localTriv (Z.indexAt b)
 #align vector_bundle_core.local_triv_at VectorBundleCore.localTrivAt
 
@@ -860,15 +859,15 @@ This makes it inconvenient to explicitly define a `coordChange` function when co
 `VectorPrebundle`. -/
 -- porting note: was @[nolint has_nonempty_instance]
 structure VectorPrebundle where
-  pretrivializationAtlas : Set (Pretrivialization F (π E))
+  pretrivializationAtlas : Set (Pretrivialization F (π F E))
   pretrivialization_linear' : ∀ e, e ∈ pretrivializationAtlas → e.IsLinear R
-  pretrivializationAt : B → Pretrivialization F (π E)
+  pretrivializationAt : B → Pretrivialization F (π F E)
   mem_base_pretrivializationAt : ∀ x : B, x ∈ (pretrivializationAt x).baseSet
   pretrivialization_mem_atlas : ∀ x : B, pretrivializationAt x ∈ pretrivializationAtlas
   exists_coordChange : ∀ᵉ (e ∈ pretrivializationAtlas) (e' ∈ pretrivializationAtlas),
     ∃ f : B → F →L[R] F, ContinuousOn f (e.baseSet ∩ e'.baseSet) ∧
-      ∀ᵉ (b ∈ e.baseSet ∩ e'.baseSet) (v : F), f b v = (e' (totalSpaceMk b (e.symm b v))).2
-  totalSpaceMk_inducing : ∀ b : B, Inducing (pretrivializationAt b ∘ totalSpaceMk b)
+      ∀ᵉ (b ∈ e.baseSet ∩ e'.baseSet) (v : F), f b v = (e' ⟨b, e.symm b v⟩).2
+  totalSpaceMk_inducing : ∀ b : B, Inducing (pretrivializationAt b ∘ .mk b)
 #align vector_prebundle VectorPrebundle
 
 namespace VectorPrebundle
@@ -877,28 +876,28 @@ variable {R E F}
 
 /-- A randomly chosen coordinate change on a `VectorPrebundle`, given by
   the field `exists_coordChange`. -/
-def coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
+def coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π F E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) (b : B) : F →L[R] F :=
   Classical.choose (a.exists_coordChange e he e' he') b
 #align vector_prebundle.coord_change VectorPrebundle.coordChange
 
-theorem continuousOn_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
+theorem continuousOn_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π F E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) :
     ContinuousOn (a.coordChange he he') (e.baseSet ∩ e'.baseSet) :=
   (Classical.choose_spec (a.exists_coordChange e he e' he')).1
 #align vector_prebundle.continuous_on_coord_change VectorPrebundle.continuousOn_coordChange
 
-theorem coordChange_apply (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
+theorem coordChange_apply (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π F E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
-    a.coordChange he he' b v = (e' (totalSpaceMk b (e.symm b v))).2 :=
+    a.coordChange he he' b v = (e' ⟨b, e.symm b v⟩).2 :=
   (Classical.choose_spec (a.exists_coordChange e he e' he')).2 b hb v
 #align vector_prebundle.coord_change_apply VectorPrebundle.coordChange_apply
 
-theorem mk_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π E)}
+theorem mk_coordChange (a : VectorPrebundle R F E) {e e' : Pretrivialization F (π F E)}
     (he : e ∈ a.pretrivializationAtlas) (he' : e' ∈ a.pretrivializationAtlas) {b : B}
     (hb : b ∈ e.baseSet ∩ e'.baseSet) (v : F) :
-    (b, a.coordChange he he' b v) = e' (totalSpaceMk b (e.symm b v)) := by
+    (b, a.coordChange he he' b v) = e' ⟨b, e.symm b v⟩ := by
   ext
   · rw [e.mk_symm hb.1 v, e'.coe_fst', e.proj_symm_apply' hb.1]
     rw [e.proj_symm_apply' hb.1]
@@ -922,20 +921,20 @@ def toFiberPrebundle (a : VectorPrebundle R F E) : FiberPrebundle F E :=
 #align vector_prebundle.to_fiber_prebundle VectorPrebundle.toFiberPrebundle
 
 /-- Topology on the total space that will make the prebundle into a bundle. -/
-def totalSpaceTopology (a : VectorPrebundle R F E) : TopologicalSpace (TotalSpace E) :=
+def totalSpaceTopology (a : VectorPrebundle R F E) : TopologicalSpace (TotalSpace F E) :=
   a.toFiberPrebundle.totalSpaceTopology
 #align vector_prebundle.total_space_topology VectorPrebundle.totalSpaceTopology
 
 /-- Promotion from a `Pretrivialization` in the `pretrivializationAtlas` of a
 `VectorPrebundle` to a `Trivialization`. -/
 def trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R F E)
-    {e : Pretrivialization F (π E)} (he : e ∈ a.pretrivializationAtlas) :
-    @Trivialization B F _ _ _ a.totalSpaceTopology (π E) :=
+    {e : Pretrivialization F (π F E)} (he : e ∈ a.pretrivializationAtlas) :
+    @Trivialization B F _ _ _ a.totalSpaceTopology (π F E) :=
   a.toFiberPrebundle.trivializationOfMemPretrivializationAtlas he
 #align vector_prebundle.trivialization_of_mem_pretrivialization_atlas VectorPrebundle.trivializationOfMemPretrivializationAtlas
 
 theorem linear_trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R F E)
-    {e : Pretrivialization F (π E)} (he : e ∈ a.pretrivializationAtlas) :
+    {e : Pretrivialization F (π F E)} (he : e ∈ a.pretrivializationAtlas) :
     letI := a.totalSpaceTopology
     Trivialization.IsLinear R (trivializationOfMemPretrivializationAtlas a he) :=
   letI := a.totalSpaceTopology
@@ -945,19 +944,19 @@ theorem linear_trivializationOfMemPretrivializationAtlas (a : VectorPrebundle R
 variable (a : VectorPrebundle R F E)
 
 theorem mem_trivialization_at_source (b : B) (x : E b) :
-    totalSpaceMk b x ∈ (a.pretrivializationAt b).source :=
+    ⟨b, x⟩ ∈ (a.pretrivializationAt b).source :=
   a.toFiberPrebundle.mem_pretrivializationAt_source b x
 #align vector_prebundle.mem_trivialization_at_source VectorPrebundle.mem_trivialization_at_source
 
 @[simp]
 theorem totalSpaceMk_preimage_source (b : B) :
-    totalSpaceMk b ⁻¹' (a.pretrivializationAt b).source = univ :=
+    .mk b ⁻¹' (a.pretrivializationAt b).source = univ :=
   a.toFiberPrebundle.totalSpaceMk_preimage_source b
 #align vector_prebundle.total_space_mk_preimage_source VectorPrebundle.totalSpaceMk_preimage_source
 
 @[continuity]
 theorem continuous_totalSpaceMk (b : B) :
-    Continuous[_, a.totalSpaceTopology] (totalSpaceMk b) :=
+    Continuous[_, a.totalSpaceTopology] (.mk b) :=
   a.toFiberPrebundle.continuous_totalSpaceMk b
 #align vector_prebundle.continuous_total_space_mk VectorPrebundle.continuous_totalSpaceMk
 
@@ -1001,10 +1000,10 @@ variable {σ : 𝕜₁ →+* 𝕜₂}
 
 variable {B' : Type _} [TopologicalSpace B']
 
-variable [NormedSpace 𝕜₁ F] [∀ x, Module 𝕜₁ (E x)] [TopologicalSpace (TotalSpace E)]
+variable [NormedSpace 𝕜₁ F] [∀ x, Module 𝕜₁ (E x)] [TopologicalSpace (TotalSpace F E)]
 
 variable {F' : Type _} [NormedAddCommGroup F'] [NormedSpace 𝕜₂ F'] {E' : B' → Type _}
-  [∀ x, AddCommMonoid (E' x)] [∀ x, Module 𝕜₂ (E' x)] [TopologicalSpace (TotalSpace E')]
+  [∀ x, AddCommMonoid (E' x)] [∀ x, Module 𝕜₂ (E' x)] [TopologicalSpace (TotalSpace F' E')]
 
 variable [FiberBundle F E] [VectorBundle 𝕜₁ F E]

feat: port Geometry.Manifold.VectorBundle.Tangent (#5448)

Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>

f272aa0a

Diff

@@ -1033,7 +1033,7 @@ def inCoordinates (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y) : F →SL
     ϕ.comp <| (trivializationAt F E x₀).symmL 𝕜₁ x
 #align continuous_linear_map.in_coordinates ContinuousLinearMap.inCoordinates
 
-variable {F}
+variable {F F'}
 
 /-- Rewrite `ContinuousLinearMap.inCoordinates` using continuous linear equivalences. -/
 theorem inCoordinates_eq (x₀ x : B) (y₀ y : B') (ϕ : E x →SL[σ] E' y)

feat: port Geometry.Manifold.VectorBundle.Basic (#5444)

Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>

87438883

Diff

@@ -962,7 +962,7 @@ theorem continuous_totalSpaceMk (b : B) :
 #align vector_prebundle.continuous_total_space_mk VectorPrebundle.continuous_totalSpaceMk
 
 /-- Make a `FiberBundle` from a `VectorPrebundle`; auxiliary construction for
-`VectorPrebundle.to_vectorBundle`. -/
+`VectorPrebundle.toVectorBundle`. -/
 def toFiberBundle : @FiberBundle B F _ _ _ a.totalSpaceTopology _ :=
   a.toFiberPrebundle.toFiberBundle
 #align vector_prebundle.to_fiber_bundle VectorPrebundle.toFiberBundle
@@ -973,8 +973,7 @@ number of "pretrivializations" identifying parts of `E` with product spaces `U 
 establishes that for the topology constructed on the sigma-type using
 `VectorPrebundle.totalSpaceTopology`, these "pretrivializations" are actually
 "trivializations" (i.e., homeomorphisms with respect to the constructed topology). -/
-theorem to_vectorBundle :
-    @VectorBundle R _ F E _ _ _ _ _ _ a.totalSpaceTopology _ a.toFiberBundle :=
+theorem toVectorBundle : @VectorBundle R _ F E _ _ _ _ _ _ a.totalSpaceTopology _ a.toFiberBundle :=
   letI := a.totalSpaceTopology; letI := a.toFiberBundle
   { trivialization_linear' := by
       rintro _ ⟨e, he, rfl⟩
@@ -990,7 +989,7 @@ theorem to_vectorBundle :
       rw [a.coordChange_apply he he' hb v, ContinuousLinearEquiv.coe_coe,
         Trivialization.coordChangeL_apply]
       exacts [rfl, hb] }
-#align vector_prebundle.to_vector_bundle VectorPrebundle.to_vectorBundle
+#align vector_prebundle.to_vector_bundle VectorPrebundle.toVectorBundle
 
 end VectorPrebundle

feat: forward-port 19107 (#4470)

Forward-port leanprover-community/mathlib#19107

5519d19e

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri, Sebastien Gouezel, Heather Macbeth, Patrick Massot, Floris van Doorn
 
 ! This file was ported from Lean 3 source module topology.vector_bundle.basic
-! leanprover-community/mathlib commit d2d964c64f8ddcccd6704a731c41f95d13e72f5c
+! leanprover-community/mathlib commit f7ebde7ee0d1505dfccac8644ae12371aa3c1c9f
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -61,6 +61,7 @@ Vector bundle
 noncomputable section
 
 open Bundle Set Classical
+open scoped Topology
 
 variable (R : Type _) {B : Type _} (F : Type _) (E : B → Type _)
 
@@ -841,7 +842,7 @@ end
 section
 
 variable [NontriviallyNormedField R] [∀ x, AddCommMonoid (E x)] [∀ x, Module R (E x)]
-  [NormedAddCommGroup F] [NormedSpace R F] [TopologicalSpace B]
+  [NormedAddCommGroup F] [NormedSpace R F] [TopologicalSpace B] [∀ x, TopologicalSpace (E x)]
 
 open TopologicalSpace
 
@@ -867,6 +868,7 @@ structure VectorPrebundle where
   exists_coordChange : ∀ᵉ (e ∈ pretrivializationAtlas) (e' ∈ pretrivializationAtlas),
     ∃ f : B → F →L[R] F, ContinuousOn f (e.baseSet ∩ e'.baseSet) ∧
       ∀ᵉ (b ∈ e.baseSet ∩ e'.baseSet) (v : F), f b v = (e' (totalSpaceMk b (e.symm b v))).2
+  totalSpaceMk_inducing : ∀ b : B, Inducing (pretrivializationAt b ∘ totalSpaceMk b)
 #align vector_prebundle VectorPrebundle
 
 namespace VectorPrebundle
@@ -953,26 +955,15 @@ theorem totalSpaceMk_preimage_source (b : B) :
   a.toFiberPrebundle.totalSpaceMk_preimage_source b
 #align vector_prebundle.total_space_mk_preimage_source VectorPrebundle.totalSpaceMk_preimage_source
 
-/-- Topology on the fibers `E b` induced by the map `E b → Bundle.TotalSpace E`. -/
-def fiberTopology (b : B) : TopologicalSpace (E b) :=
-  a.toFiberPrebundle.fiberTopology b
-#align vector_prebundle.fiber_topology VectorPrebundle.fiberTopology
-
-@[continuity]
-theorem inducing_totalSpaceMk (b : B) :
-    @Inducing _ _ (a.fiberTopology b) a.totalSpaceTopology (totalSpaceMk b) :=
-  a.toFiberPrebundle.inducing_totalSpaceMk b
-#align vector_prebundle.inducing_total_space_mk VectorPrebundle.inducing_totalSpaceMk
-
 @[continuity]
 theorem continuous_totalSpaceMk (b : B) :
-    @Continuous _ _ (a.fiberTopology b) a.totalSpaceTopology (totalSpaceMk b) :=
+    Continuous[_, a.totalSpaceTopology] (totalSpaceMk b) :=
   a.toFiberPrebundle.continuous_totalSpaceMk b
 #align vector_prebundle.continuous_total_space_mk VectorPrebundle.continuous_totalSpaceMk
 
 /-- Make a `FiberBundle` from a `VectorPrebundle`; auxiliary construction for
 `VectorPrebundle.to_vectorBundle`. -/
-def toFiberBundle : @FiberBundle B F _ _ _ a.totalSpaceTopology a.fiberTopology :=
+def toFiberBundle : @FiberBundle B F _ _ _ a.totalSpaceTopology _ :=
   a.toFiberPrebundle.toFiberBundle
 #align vector_prebundle.to_fiber_bundle VectorPrebundle.toFiberBundle
 
@@ -983,8 +974,8 @@ establishes that for the topology constructed on the sigma-type using
 `VectorPrebundle.totalSpaceTopology`, these "pretrivializations" are actually
 "trivializations" (i.e., homeomorphisms with respect to the constructed topology). -/
 theorem to_vectorBundle :
-    @VectorBundle R _ F E _ _ _ _ _ _ a.totalSpaceTopology a.fiberTopology a.toFiberBundle :=
-  letI := a.totalSpaceTopology; letI := a.fiberTopology; letI := a.toFiberBundle
+    @VectorBundle R _ F E _ _ _ _ _ _ a.totalSpaceTopology _ a.toFiberBundle :=
+  letI := a.totalSpaceTopology; letI := a.toFiberBundle
   { trivialization_linear' := by
       rintro _ ⟨e, he, rfl⟩
       apply linear_trivializationOfMemPretrivializationAtlas
@@ -1016,7 +1007,7 @@ variable [NormedSpace 𝕜₁ F] [∀ x, Module 𝕜₁ (E x)] [TopologicalSpace
 variable {F' : Type _} [NormedAddCommGroup F'] [NormedSpace 𝕜₂ F'] {E' : B' → Type _}
   [∀ x, AddCommMonoid (E' x)] [∀ x, Module 𝕜₂ (E' x)] [TopologicalSpace (TotalSpace E')]
 
-variable [∀ x, TopologicalSpace (E x)] [FiberBundle F E] [VectorBundle 𝕜₁ F E]
+variable [FiberBundle F E] [VectorBundle 𝕜₁ F E]
 
 variable [∀ x, TopologicalSpace (E' x)] [FiberBundle F' E'] [VectorBundle 𝕜₂ F' E']