linear_algebra.affine_space.affine_equiv ⟷ Mathlib.LinearAlgebra.AffineSpace.AffineEquiv

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

@@ -5,7 +5,7 @@ Authors: Yury G. Kudryashov
 -/
 import LinearAlgebra.AffineSpace.AffineMap
 import LinearAlgebra.GeneralLinearGroup
-import Algebra.Invertible
+import Algebra.Invertible.Defs
 
 #align_import linear_algebra.affine_space.affine_equiv from "leanprover-community/mathlib"@"97eab48559068f3d6313da387714ef25768fb730"
 

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

@@ -90,7 +90,7 @@ theorem linear_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : e.toAffineMap.linear = e.
 theorem toAffineMap_injective : Injective (toAffineMap : (P₁ ≃ᵃ[k] P₂) → P₁ →ᵃ[k] P₂) :=
   by
   rintro ⟨e, el, h⟩ ⟨e', el', h'⟩ H
-  simp only [to_affine_map_mk, Equiv.coe_inj, LinearEquiv.toLinearMap_inj] at H 
+  simp only [to_affine_map_mk, Equiv.coe_inj, LinearEquiv.toLinearMap_inj] at H
   congr
   exacts [H.1, H.2]
 #align affine_equiv.to_affine_map_injective AffineEquiv.toAffineMap_injective
@@ -770,7 +770,7 @@ theorem injective_pointReflection_left_of_module [Invertible (2 : k)] :
     ∀ y, Injective fun x : P₁ => pointReflection k x y :=
   injective_pointReflection_left_of_injective_bit0 k fun x y h => by
     rwa [bit0, bit0, ← two_smul k x, ← two_smul k y,
-      (isUnit_of_invertible (2 : k)).smul_left_cancel] at h 
+      (isUnit_of_invertible (2 : k)).smul_left_cancel] at h
 #align affine_equiv.injective_point_reflection_left_of_module AffineEquiv.injective_pointReflection_left_of_module
 -/
 

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

@@ -110,12 +110,12 @@ instance equivLike : EquivLike (P₁ ≃ᵃ[k] P₂) P₁ P₂
   inv f := f.invFun
   left_inv f := f.left_inv
   right_inv f := f.right_inv
-  coe_injective' f g h _ := toAffineMap_injective (FunLike.coe_injective h)
+  coe_injective' f g h _ := toAffineMap_injective (DFunLike.coe_injective h)
 #align affine_equiv.equiv_like AffineEquiv.equivLike
 -/
 
 instance : CoeFun (P₁ ≃ᵃ[k] P₂) fun _ => P₁ → P₂ :=
-  FunLike.hasCoeToFun
+  DFunLike.hasCoeToFun
 
 instance : Coe (P₁ ≃ᵃ[k] P₂) (P₁ ≃ P₂) :=
   ⟨AffineEquiv.toEquiv⟩
@@ -163,13 +163,13 @@ theorem coe_linear (e : P₁ ≃ᵃ[k] P₂) : (e : P₁ →ᵃ[k] P₂).linear
 #print AffineEquiv.ext /-
 @[ext]
 theorem ext {e e' : P₁ ≃ᵃ[k] P₂} (h : ∀ x, e x = e' x) : e = e' :=
-  FunLike.ext _ _ h
+  DFunLike.ext _ _ h
 #align affine_equiv.ext AffineEquiv.ext
 -/
 
 #print AffineEquiv.coeFn_injective /-
 theorem coeFn_injective : @Injective (P₁ ≃ᵃ[k] P₂) (P₁ → P₂) coeFn :=
-  FunLike.coe_injective
+  DFunLike.coe_injective
 #align affine_equiv.coe_fn_injective AffineEquiv.coeFn_injective
 -/
 

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

@@ -3,9 +3,9 @@ Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
 -/
-import Mathbin.LinearAlgebra.AffineSpace.AffineMap
-import Mathbin.LinearAlgebra.GeneralLinearGroup
-import Mathbin.Algebra.Invertible
+import LinearAlgebra.AffineSpace.AffineMap
+import LinearAlgebra.GeneralLinearGroup
+import Algebra.Invertible
 
 #align_import linear_algebra.affine_space.affine_equiv from "leanprover-community/mathlib"@"97eab48559068f3d6313da387714ef25768fb730"
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

@@ -499,7 +499,7 @@ instance : Group (P₁ ≃ᵃ[k] P₁) where
   mul_assoc e₁ e₂ e₃ := trans_assoc _ _ _
   one_mul := trans_refl
   mul_one := refl_trans
-  mul_left_inv := self_trans_symm
+  hMul_left_inv := self_trans_symm
 
 #print AffineEquiv.one_def /-
 theorem one_def : (1 : P₁ ≃ᵃ[k] P₁) = refl k P₁ :=

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

@@ -2,16 +2,13 @@
 Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
-
-! This file was ported from Lean 3 source module linear_algebra.affine_space.affine_equiv
-! leanprover-community/mathlib commit 97eab48559068f3d6313da387714ef25768fb730
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.LinearAlgebra.AffineSpace.AffineMap
 import Mathbin.LinearAlgebra.GeneralLinearGroup
 import Mathbin.Algebra.Invertible
 
+#align_import linear_algebra.affine_space.affine_equiv from "leanprover-community/mathlib"@"97eab48559068f3d6313da387714ef25768fb730"
+
 /-!
 # Affine equivalences
 

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

@@ -59,7 +59,6 @@ structure AffineEquiv (k P₁ P₂ : Type _) {V₁ V₂ : Type _} [Ring k] [AddC
 #align affine_equiv AffineEquiv
 -/
 
--- mathport name: «expr ≃ᵃ[ ] »
 notation:25 P₁ " ≃ᵃ[" k:25 "] " P₂:0 => AffineEquiv k P₁ P₂
 
 variable {k P₁ P₂ P₃ P₄ V₁ V₂ V₃ V₄ : Type _} [Ring k] [AddCommGroup V₁] [Module k V₁]
@@ -68,8 +67,6 @@ variable {k P₁ P₂ P₃ P₄ V₁ V₂ V₃ V₄ : Type _} [Ring k] [AddCommG
 
 namespace AffineEquiv
 
-include V₁ V₂
-
 #print AffineEquiv.toAffineMap /-
 /-- Reinterpret an `affine_equiv` as an `affine_map`. -/
 def toAffineMap (e : P₁ ≃ᵃ[k] P₂) : P₁ →ᵃ[k] P₂ :=
@@ -77,17 +74,22 @@ def toAffineMap (e : P₁ ≃ᵃ[k] P₂) : P₁ →ᵃ[k] P₂ :=
 #align affine_equiv.to_affine_map AffineEquiv.toAffineMap
 -/
 
+#print AffineEquiv.toAffineMap_mk /-
 @[simp]
 theorem toAffineMap_mk (f : P₁ ≃ P₂) (f' : V₁ ≃ₗ[k] V₂) (h) :
     toAffineMap (mk f f' h) = ⟨f, f', h⟩ :=
   rfl
 #align affine_equiv.to_affine_map_mk AffineEquiv.toAffineMap_mk
+-/
 
+#print AffineEquiv.linear_toAffineMap /-
 @[simp]
 theorem linear_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : e.toAffineMap.linear = e.linear :=
   rfl
 #align affine_equiv.linear_to_affine_map AffineEquiv.linear_toAffineMap
+-/
 
+#print AffineEquiv.toAffineMap_injective /-
 theorem toAffineMap_injective : Injective (toAffineMap : (P₁ ≃ᵃ[k] P₂) → P₁ →ᵃ[k] P₂) :=
   by
   rintro ⟨e, el, h⟩ ⟨e', el', h'⟩ H
@@ -95,11 +97,14 @@ theorem toAffineMap_injective : Injective (toAffineMap : (P₁ ≃ᵃ[k] P₂) 
   congr
   exacts [H.1, H.2]
 #align affine_equiv.to_affine_map_injective AffineEquiv.toAffineMap_injective
+-/
 
+#print AffineEquiv.toAffineMap_inj /-
 @[simp]
 theorem toAffineMap_inj {e e' : P₁ ≃ᵃ[k] P₂} : e.toAffineMap = e'.toAffineMap ↔ e = e' :=
   toAffineMap_injective.eq_iff
 #align affine_equiv.to_affine_map_inj AffineEquiv.toAffineMap_inj
+-/
 
 #print AffineEquiv.equivLike /-
 instance equivLike : EquivLike (P₁ ≃ᵃ[k] P₂) P₁ P₂
@@ -120,38 +125,50 @@ instance : Coe (P₁ ≃ᵃ[k] P₂) (P₁ ≃ P₂) :=
 
 variable {k P₁}
 
+#print AffineEquiv.map_vadd /-
 @[simp]
 theorem map_vadd (e : P₁ ≃ᵃ[k] P₂) (p : P₁) (v : V₁) : e (v +ᵥ p) = e.linear v +ᵥ e p :=
   e.map_vadd' p v
 #align affine_equiv.map_vadd AffineEquiv.map_vadd
+-/
 
+#print AffineEquiv.coe_toEquiv /-
 @[simp]
 theorem coe_toEquiv (e : P₁ ≃ᵃ[k] P₂) : ⇑e.toEquiv = e :=
   rfl
 #align affine_equiv.coe_to_equiv AffineEquiv.coe_toEquiv
+-/
 
 instance : Coe (P₁ ≃ᵃ[k] P₂) (P₁ →ᵃ[k] P₂) :=
   ⟨toAffineMap⟩
 
+#print AffineEquiv.coe_toAffineMap /-
 @[simp]
 theorem coe_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : (e.toAffineMap : P₁ → P₂) = (e : P₁ → P₂) :=
   rfl
 #align affine_equiv.coe_to_affine_map AffineEquiv.coe_toAffineMap
+-/
 
+#print AffineEquiv.coe_coe /-
 @[norm_cast, simp]
 theorem coe_coe (e : P₁ ≃ᵃ[k] P₂) : ((e : P₁ →ᵃ[k] P₂) : P₁ → P₂) = e :=
   rfl
 #align affine_equiv.coe_coe AffineEquiv.coe_coe
+-/
 
+#print AffineEquiv.coe_linear /-
 @[simp]
 theorem coe_linear (e : P₁ ≃ᵃ[k] P₂) : (e : P₁ →ᵃ[k] P₂).linear = e.linear :=
   rfl
 #align affine_equiv.coe_linear AffineEquiv.coe_linear
+-/
 
+#print AffineEquiv.ext /-
 @[ext]
 theorem ext {e e' : P₁ ≃ᵃ[k] P₂} (h : ∀ x, e x = e' x) : e = e' :=
   FunLike.ext _ _ h
 #align affine_equiv.ext AffineEquiv.ext
+-/
 
 #print AffineEquiv.coeFn_injective /-
 theorem coeFn_injective : @Injective (P₁ ≃ᵃ[k] P₂) (P₁ → P₂) coeFn :=
@@ -159,25 +176,34 @@ theorem coeFn_injective : @Injective (P₁ ≃ᵃ[k] P₂) (P₁ → P₂) coeFn
 #align affine_equiv.coe_fn_injective AffineEquiv.coeFn_injective
 -/
 
+#print AffineEquiv.coeFn_inj /-
 @[simp, norm_cast]
 theorem coeFn_inj {e e' : P₁ ≃ᵃ[k] P₂} : (e : P₁ → P₂) = e' ↔ e = e' :=
   coeFn_injective.eq_iff
 #align affine_equiv.coe_fn_inj AffineEquiv.coeFn_inj
+-/
 
+#print AffineEquiv.toEquiv_injective /-
 theorem toEquiv_injective : Injective (toEquiv : (P₁ ≃ᵃ[k] P₂) → P₁ ≃ P₂) := fun e e' H =>
   ext <| Equiv.ext_iff.1 H
 #align affine_equiv.to_equiv_injective AffineEquiv.toEquiv_injective
+-/
 
+#print AffineEquiv.toEquiv_inj /-
 @[simp]
 theorem toEquiv_inj {e e' : P₁ ≃ᵃ[k] P₂} : e.toEquiv = e'.toEquiv ↔ e = e' :=
   toEquiv_injective.eq_iff
 #align affine_equiv.to_equiv_inj AffineEquiv.toEquiv_inj
+-/
 
+#print AffineEquiv.coe_mk /-
 @[simp]
 theorem coe_mk (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (h) : ((⟨e, e', h⟩ : P₁ ≃ᵃ[k] P₂) : P₁ → P₂) = e :=
   rfl
 #align affine_equiv.coe_mk AffineEquiv.coe_mk
+-/
 
+#print AffineEquiv.mk' /-
 /-- Construct an affine equivalence by verifying the relation between the map and its linear part at
 one base point. Namely, this function takes a map `e : P₁ → P₂`, a linear equivalence
 `e' : V₁ ≃ₗ[k] V₂`, and a point `p` such that for any other point `p'` we have
@@ -191,16 +217,21 @@ def mk' (e : P₁ → P₂) (e' : V₁ ≃ₗ[k] V₂) (p : P₁) (h : ∀ p' :
   linear := e'
   map_vadd' p' v := by simp [h p', h (v +ᵥ p'), vadd_vsub_assoc, vadd_vadd]
 #align affine_equiv.mk' AffineEquiv.mk'
+-/
 
+#print AffineEquiv.coe_mk' /-
 @[simp]
 theorem coe_mk' (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (p h) : ⇑(mk' e e' p h) = e :=
   rfl
 #align affine_equiv.coe_mk' AffineEquiv.coe_mk'
+-/
 
+#print AffineEquiv.linear_mk' /-
 @[simp]
 theorem linear_mk' (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (p h) : (mk' e e' p h).linear = e' :=
   rfl
 #align affine_equiv.linear_mk' AffineEquiv.linear_mk'
+-/
 
 #print AffineEquiv.symm /-
 /-- Inverse of an affine equivalence as an affine equivalence. -/
@@ -215,15 +246,19 @@ def symm (e : P₁ ≃ᵃ[k] P₂) : P₂ ≃ᵃ[k] P₁
 #align affine_equiv.symm AffineEquiv.symm
 -/
 
+#print AffineEquiv.symm_toEquiv /-
 @[simp]
 theorem symm_toEquiv (e : P₁ ≃ᵃ[k] P₂) : e.toEquiv.symm = e.symm.toEquiv :=
   rfl
 #align affine_equiv.symm_to_equiv AffineEquiv.symm_toEquiv
+-/
 
+#print AffineEquiv.symm_linear /-
 @[simp]
 theorem symm_linear (e : P₁ ≃ᵃ[k] P₂) : e.linear.symm = e.symm.linear :=
   rfl
 #align affine_equiv.symm_linear AffineEquiv.symm_linear
+-/
 
 #print AffineEquiv.Simps.apply /-
 /-- See Note [custom simps projection] -/
@@ -242,17 +277,23 @@ def Simps.symm_apply (e : P₁ ≃ᵃ[k] P₂) : P₂ → P₁ :=
 initialize_simps_projections AffineEquiv (to_equiv_to_fun → apply, to_equiv_inv_fun → symm_apply,
   linear → linear, as_prefix linear, -toEquiv)
 
+#print AffineEquiv.bijective /-
 protected theorem bijective (e : P₁ ≃ᵃ[k] P₂) : Bijective e :=
   e.toEquiv.Bijective
 #align affine_equiv.bijective AffineEquiv.bijective
+-/
 
+#print AffineEquiv.surjective /-
 protected theorem surjective (e : P₁ ≃ᵃ[k] P₂) : Surjective e :=
   e.toEquiv.Surjective
 #align affine_equiv.surjective AffineEquiv.surjective
+-/
 
+#print AffineEquiv.injective /-
 protected theorem injective (e : P₁ ≃ᵃ[k] P₂) : Injective e :=
   e.toEquiv.Injective
 #align affine_equiv.injective AffineEquiv.injective
+-/
 
 #print AffineEquiv.ofBijective /-
 /-- Bijective affine maps are affine isomorphisms. -/
@@ -266,49 +307,63 @@ noncomputable def ofBijective {φ : P₁ →ᵃ[k] P₂} (hφ : Function.Bijecti
 #align affine_equiv.of_bijective AffineEquiv.ofBijective
 -/
 
+#print AffineEquiv.ofBijective.symm_eq /-
 theorem ofBijective.symm_eq {φ : P₁ →ᵃ[k] P₂} (hφ : Function.Bijective φ) :
     (ofBijective hφ).symm.toEquiv = (Equiv.ofBijective _ hφ).symm :=
   rfl
 #align affine_equiv.of_bijective.symm_eq AffineEquiv.ofBijective.symm_eq
+-/
 
+#print AffineEquiv.range_eq /-
 @[simp]
 theorem range_eq (e : P₁ ≃ᵃ[k] P₂) : range e = univ :=
   e.Surjective.range_eq
 #align affine_equiv.range_eq AffineEquiv.range_eq
+-/
 
+#print AffineEquiv.apply_symm_apply /-
 @[simp]
 theorem apply_symm_apply (e : P₁ ≃ᵃ[k] P₂) (p : P₂) : e (e.symm p) = p :=
   e.toEquiv.apply_symm_apply p
 #align affine_equiv.apply_symm_apply AffineEquiv.apply_symm_apply
+-/
 
+#print AffineEquiv.symm_apply_apply /-
 @[simp]
 theorem symm_apply_apply (e : P₁ ≃ᵃ[k] P₂) (p : P₁) : e.symm (e p) = p :=
   e.toEquiv.symm_apply_apply p
 #align affine_equiv.symm_apply_apply AffineEquiv.symm_apply_apply
+-/
 
+#print AffineEquiv.apply_eq_iff_eq_symm_apply /-
 theorem apply_eq_iff_eq_symm_apply (e : P₁ ≃ᵃ[k] P₂) {p₁ p₂} : e p₁ = p₂ ↔ p₁ = e.symm p₂ :=
   e.toEquiv.apply_eq_iff_eq_symm_apply
 #align affine_equiv.apply_eq_iff_eq_symm_apply AffineEquiv.apply_eq_iff_eq_symm_apply
+-/
 
+#print AffineEquiv.apply_eq_iff_eq /-
 @[simp]
 theorem apply_eq_iff_eq (e : P₁ ≃ᵃ[k] P₂) {p₁ p₂ : P₁} : e p₁ = e p₂ ↔ p₁ = p₂ :=
   e.toEquiv.apply_eq_iff_eq
 #align affine_equiv.apply_eq_iff_eq AffineEquiv.apply_eq_iff_eq
+-/
 
+#print AffineEquiv.image_symm /-
 @[simp]
 theorem image_symm (f : P₁ ≃ᵃ[k] P₂) (s : Set P₂) : f.symm '' s = f ⁻¹' s :=
   f.symm.toEquiv.image_eq_preimage _
 #align affine_equiv.image_symm AffineEquiv.image_symm
+-/
 
+#print AffineEquiv.preimage_symm /-
 @[simp]
 theorem preimage_symm (f : P₁ ≃ᵃ[k] P₂) (s : Set P₁) : f.symm ⁻¹' s = f '' s :=
   (f.symm.image_symm _).symm
 #align affine_equiv.preimage_symm AffineEquiv.preimage_symm
+-/
 
 variable (k P₁)
 
-omit V₂
-
 #print AffineEquiv.refl /-
 /-- Identity map as an `affine_equiv`. -/
 @[refl]
@@ -319,40 +374,50 @@ def refl : P₁ ≃ᵃ[k] P₁ where
 #align affine_equiv.refl AffineEquiv.refl
 -/
 
+#print AffineEquiv.coe_refl /-
 @[simp]
 theorem coe_refl : ⇑(refl k P₁) = id :=
   rfl
 #align affine_equiv.coe_refl AffineEquiv.coe_refl
+-/
 
+#print AffineEquiv.coe_refl_to_affineMap /-
 @[simp]
 theorem coe_refl_to_affineMap : ↑(refl k P₁) = AffineMap.id k P₁ :=
   rfl
 #align affine_equiv.coe_refl_to_affine_map AffineEquiv.coe_refl_to_affineMap
+-/
 
+#print AffineEquiv.refl_apply /-
 @[simp]
 theorem refl_apply (x : P₁) : refl k P₁ x = x :=
   rfl
 #align affine_equiv.refl_apply AffineEquiv.refl_apply
+-/
 
+#print AffineEquiv.toEquiv_refl /-
 @[simp]
 theorem toEquiv_refl : (refl k P₁).toEquiv = Equiv.refl P₁ :=
   rfl
 #align affine_equiv.to_equiv_refl AffineEquiv.toEquiv_refl
+-/
 
+#print AffineEquiv.linear_refl /-
 @[simp]
 theorem linear_refl : (refl k P₁).linear = LinearEquiv.refl k V₁ :=
   rfl
 #align affine_equiv.linear_refl AffineEquiv.linear_refl
+-/
 
+#print AffineEquiv.symm_refl /-
 @[simp]
 theorem symm_refl : (refl k P₁).symm = refl k P₁ :=
   rfl
 #align affine_equiv.symm_refl AffineEquiv.symm_refl
+-/
 
 variable {k P₁}
 
-include V₂ V₃
-
 #print AffineEquiv.trans /-
 /-- Composition of two `affine_equiv`alences, applied left to right. -/
 @[trans]
@@ -365,58 +430,70 @@ def trans (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) : P₁ ≃ᵃ[k]
 #align affine_equiv.trans AffineEquiv.trans
 -/
 
+#print AffineEquiv.coe_trans /-
 @[simp]
 theorem coe_trans (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) : ⇑(e.trans e') = e' ∘ e :=
   rfl
 #align affine_equiv.coe_trans AffineEquiv.coe_trans
+-/
 
+#print AffineEquiv.coe_trans_to_affineMap /-
 @[simp]
 theorem coe_trans_to_affineMap (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) :
     (e.trans e' : P₁ →ᵃ[k] P₃) = (e' : P₂ →ᵃ[k] P₃).comp e :=
   rfl
 #align affine_equiv.coe_trans_to_affine_map AffineEquiv.coe_trans_to_affineMap
+-/
 
+#print AffineEquiv.trans_apply /-
 @[simp]
 theorem trans_apply (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) (p : P₁) : e.trans e' p = e' (e p) :=
   rfl
 #align affine_equiv.trans_apply AffineEquiv.trans_apply
+-/
 
-include V₄
-
+#print AffineEquiv.trans_assoc /-
 theorem trans_assoc (e₁ : P₁ ≃ᵃ[k] P₂) (e₂ : P₂ ≃ᵃ[k] P₃) (e₃ : P₃ ≃ᵃ[k] P₄) :
     (e₁.trans e₂).trans e₃ = e₁.trans (e₂.trans e₃) :=
   ext fun _ => rfl
 #align affine_equiv.trans_assoc AffineEquiv.trans_assoc
+-/
 
-omit V₃ V₄
-
+#print AffineEquiv.trans_refl /-
 @[simp]
 theorem trans_refl (e : P₁ ≃ᵃ[k] P₂) : e.trans (refl k P₂) = e :=
   ext fun _ => rfl
 #align affine_equiv.trans_refl AffineEquiv.trans_refl
+-/
 
+#print AffineEquiv.refl_trans /-
 @[simp]
 theorem refl_trans (e : P₁ ≃ᵃ[k] P₂) : (refl k P₁).trans e = e :=
   ext fun _ => rfl
 #align affine_equiv.refl_trans AffineEquiv.refl_trans
+-/
 
+#print AffineEquiv.self_trans_symm /-
 @[simp]
 theorem self_trans_symm (e : P₁ ≃ᵃ[k] P₂) : e.trans e.symm = refl k P₁ :=
   ext e.symm_apply_apply
 #align affine_equiv.self_trans_symm AffineEquiv.self_trans_symm
+-/
 
+#print AffineEquiv.symm_trans_self /-
 @[simp]
 theorem symm_trans_self (e : P₁ ≃ᵃ[k] P₂) : e.symm.trans e = refl k P₂ :=
   ext e.apply_symm_apply
 #align affine_equiv.symm_trans_self AffineEquiv.symm_trans_self
+-/
 
+#print AffineEquiv.apply_lineMap /-
 @[simp]
 theorem apply_lineMap (e : P₁ ≃ᵃ[k] P₂) (a b : P₁) (c : k) :
     e (AffineMap.lineMap a b c) = AffineMap.lineMap (e a) (e b) c :=
   e.toAffineMap.apply_lineMap a b c
 #align affine_equiv.apply_line_map AffineEquiv.apply_lineMap
-
-omit V₂
+-/
 
 instance : Group (P₁ ≃ᵃ[k] P₁) where
   one := refl k P₁
@@ -427,27 +504,37 @@ instance : Group (P₁ ≃ᵃ[k] P₁) where
   mul_one := refl_trans
   mul_left_inv := self_trans_symm
 
+#print AffineEquiv.one_def /-
 theorem one_def : (1 : P₁ ≃ᵃ[k] P₁) = refl k P₁ :=
   rfl
 #align affine_equiv.one_def AffineEquiv.one_def
+-/
 
+#print AffineEquiv.coe_one /-
 @[simp]
 theorem coe_one : ⇑(1 : P₁ ≃ᵃ[k] P₁) = id :=
   rfl
 #align affine_equiv.coe_one AffineEquiv.coe_one
+-/
 
+#print AffineEquiv.mul_def /-
 theorem mul_def (e e' : P₁ ≃ᵃ[k] P₁) : e * e' = e'.trans e :=
   rfl
 #align affine_equiv.mul_def AffineEquiv.mul_def
+-/
 
+#print AffineEquiv.coe_mul /-
 @[simp]
 theorem coe_mul (e e' : P₁ ≃ᵃ[k] P₁) : ⇑(e * e') = e ∘ e' :=
   rfl
 #align affine_equiv.coe_mul AffineEquiv.coe_mul
+-/
 
+#print AffineEquiv.inv_def /-
 theorem inv_def (e : P₁ ≃ᵃ[k] P₁) : e⁻¹ = e.symm :=
   rfl
 #align affine_equiv.inv_def AffineEquiv.inv_def
+-/
 
 #print AffineEquiv.linearHom /-
 /-- `affine_equiv.linear` on automorphisms is a `monoid_hom`. -/
@@ -460,6 +547,7 @@ def linearHom : (P₁ ≃ᵃ[k] P₁) →* V₁ ≃ₗ[k] V₁
 #align affine_equiv.linear_hom AffineEquiv.linearHom
 -/
 
+#print AffineEquiv.equivUnitsAffineMap /-
 /-- The group of `affine_equiv`s are equivalent to the group of units of `affine_map`.
 
 This is the affine version of `linear_map.general_linear_group.general_linear_equiv`. -/
@@ -479,6 +567,7 @@ def equivUnitsAffineMap : (P₁ ≃ᵃ[k] P₁) ≃* (P₁ →ᵃ[k] P₁)ˣ
   right_inv u := Units.ext <| AffineMap.ext fun x => rfl
   map_mul' e₁ e₂ := rfl
 #align affine_equiv.equiv_units_affine_map AffineEquiv.equivUnitsAffineMap
+-/
 
 variable (k)
 
@@ -504,15 +593,19 @@ def constVSub (p : P₁) : P₁ ≃ᵃ[k] V₁
 #align affine_equiv.const_vsub AffineEquiv.constVSub
 -/
 
+#print AffineEquiv.coe_constVSub /-
 @[simp]
 theorem coe_constVSub (p : P₁) : ⇑(constVSub k p) = (· -ᵥ ·) p :=
   rfl
 #align affine_equiv.coe_const_vsub AffineEquiv.coe_constVSub
+-/
 
+#print AffineEquiv.coe_constVSub_symm /-
 @[simp]
 theorem coe_constVSub_symm (p : P₁) : ⇑(constVSub k p).symm = fun v => -v +ᵥ p :=
   rfl
 #align affine_equiv.coe_const_vsub_symm AffineEquiv.coe_constVSub_symm
+-/
 
 variable (P₁)
 
@@ -530,21 +623,27 @@ def constVAdd (v : V₁) : P₁ ≃ᵃ[k] P₁
 #align affine_equiv.const_vadd AffineEquiv.constVAdd
 -/
 
+#print AffineEquiv.constVAdd_zero /-
 @[simp]
 theorem constVAdd_zero : constVAdd k P₁ 0 = AffineEquiv.refl _ _ :=
   ext <| zero_vadd _
 #align affine_equiv.const_vadd_zero AffineEquiv.constVAdd_zero
+-/
 
+#print AffineEquiv.constVAdd_add /-
 @[simp]
 theorem constVAdd_add (v w : V₁) :
     constVAdd k P₁ (v + w) = (constVAdd k P₁ w).trans (constVAdd k P₁ v) :=
   ext <| add_vadd _ _
 #align affine_equiv.const_vadd_add AffineEquiv.constVAdd_add
+-/
 
+#print AffineEquiv.constVAdd_symm /-
 @[simp]
 theorem constVAdd_symm (v : V₁) : (constVAdd k P₁ v).symm = constVAdd k P₁ (-v) :=
   ext fun _ => rfl
 #align affine_equiv.const_vadd_symm AffineEquiv.constVAdd_symm
+-/
 
 #print AffineEquiv.constVAddHom /-
 /-- A more bundled version of `affine_equiv.const_vadd`. -/
@@ -557,46 +656,54 @@ def constVAddHom : Multiplicative V₁ →* P₁ ≃ᵃ[k] P₁
 #align affine_equiv.const_vadd_hom AffineEquiv.constVAddHom
 -/
 
+#print AffineEquiv.constVAdd_nsmul /-
 theorem constVAdd_nsmul (n : ℕ) (v : V₁) : constVAdd k P₁ (n • v) = constVAdd k P₁ v ^ n :=
   (constVAddHom k P₁).map_pow _ _
 #align affine_equiv.const_vadd_nsmul AffineEquiv.constVAdd_nsmul
+-/
 
+#print AffineEquiv.constVAdd_zsmul /-
 theorem constVAdd_zsmul (z : ℤ) (v : V₁) : constVAdd k P₁ (z • v) = constVAdd k P₁ v ^ z :=
   (constVAddHom k P₁).map_zpow _ _
 #align affine_equiv.const_vadd_zsmul AffineEquiv.constVAdd_zsmul
+-/
 
 section Homothety
 
-omit V₁
-
 variable {R V P : Type _} [CommRing R] [AddCommGroup V] [Module R V] [affine_space V P]
 
-include V
-
+#print AffineEquiv.homothetyUnitsMulHom /-
 /-- Fixing a point in affine space, homothety about this point gives a group homomorphism from (the
 centre of) the units of the scalars into the group of affine equivalences. -/
 def homothetyUnitsMulHom (p : P) : Rˣ →* P ≃ᵃ[R] P :=
   equivUnitsAffineMap.symm.toMonoidHom.comp <| Units.map (AffineMap.homothetyHom p)
 #align affine_equiv.homothety_units_mul_hom AffineEquiv.homothetyUnitsMulHom
+-/
 
+#print AffineEquiv.coe_homothetyUnitsMulHom_apply /-
 @[simp]
 theorem coe_homothetyUnitsMulHom_apply (p : P) (t : Rˣ) :
     (homothetyUnitsMulHom p t : P → P) = AffineMap.homothety p (t : R) :=
   rfl
 #align affine_equiv.coe_homothety_units_mul_hom_apply AffineEquiv.coe_homothetyUnitsMulHom_apply
+-/
 
+#print AffineEquiv.coe_homothetyUnitsMulHom_apply_symm /-
 @[simp]
 theorem coe_homothetyUnitsMulHom_apply_symm (p : P) (t : Rˣ) :
     ((homothetyUnitsMulHom p t).symm : P → P) = AffineMap.homothety p (↑t⁻¹ : R) :=
   rfl
 #align affine_equiv.coe_homothety_units_mul_hom_apply_symm AffineEquiv.coe_homothetyUnitsMulHom_apply_symm
+-/
 
+#print AffineEquiv.coe_homothetyUnitsMulHom_eq_homothetyHom_coe /-
 @[simp]
 theorem coe_homothetyUnitsMulHom_eq_homothetyHom_coe (p : P) :
     (coe : (P ≃ᵃ[R] P) → P →ᵃ[R] P) ∘ homothetyUnitsMulHom p =
       AffineMap.homothetyHom p ∘ (coe : Rˣ → R) :=
   funext fun _ => rfl
 #align affine_equiv.coe_homothety_units_mul_hom_eq_homothety_hom_coe AffineEquiv.coe_homothetyUnitsMulHom_eq_homothetyHom_coe
+-/
 
 end Homothety
 
@@ -611,53 +718,71 @@ def pointReflection (x : P₁) : P₁ ≃ᵃ[k] P₁ :=
 #align affine_equiv.point_reflection AffineEquiv.pointReflection
 -/
 
+#print AffineEquiv.pointReflection_apply /-
 theorem pointReflection_apply (x y : P₁) : pointReflection k x y = x -ᵥ y +ᵥ x :=
   rfl
 #align affine_equiv.point_reflection_apply AffineEquiv.pointReflection_apply
+-/
 
+#print AffineEquiv.pointReflection_symm /-
 @[simp]
 theorem pointReflection_symm (x : P₁) : (pointReflection k x).symm = pointReflection k x :=
   toEquiv_injective <| Equiv.pointReflection_symm x
 #align affine_equiv.point_reflection_symm AffineEquiv.pointReflection_symm
+-/
 
+#print AffineEquiv.toEquiv_pointReflection /-
 @[simp]
 theorem toEquiv_pointReflection (x : P₁) :
     (pointReflection k x).toEquiv = Equiv.pointReflection x :=
   rfl
 #align affine_equiv.to_equiv_point_reflection AffineEquiv.toEquiv_pointReflection
+-/
 
+#print AffineEquiv.pointReflection_self /-
 @[simp]
 theorem pointReflection_self (x : P₁) : pointReflection k x x = x :=
   vsub_vadd _ _
 #align affine_equiv.point_reflection_self AffineEquiv.pointReflection_self
+-/
 
+#print AffineEquiv.pointReflection_involutive /-
 theorem pointReflection_involutive (x : P₁) : Involutive (pointReflection k x : P₁ → P₁) :=
   Equiv.pointReflection_involutive x
 #align affine_equiv.point_reflection_involutive AffineEquiv.pointReflection_involutive
+-/
 
+#print AffineEquiv.pointReflection_fixed_iff_of_injective_bit0 /-
 /-- `x` is the only fixed point of `point_reflection x`. This lemma requires
 `x + x = y + y ↔ x = y`. There is no typeclass to use here, so we add it as an explicit argument. -/
 theorem pointReflection_fixed_iff_of_injective_bit0 {x y : P₁} (h : Injective (bit0 : V₁ → V₁)) :
     pointReflection k x y = y ↔ y = x :=
   Equiv.pointReflection_fixed_iff_of_injective_bit0 h
 #align affine_equiv.point_reflection_fixed_iff_of_injective_bit0 AffineEquiv.pointReflection_fixed_iff_of_injective_bit0
+-/
 
+#print AffineEquiv.injective_pointReflection_left_of_injective_bit0 /-
 theorem injective_pointReflection_left_of_injective_bit0 (h : Injective (bit0 : V₁ → V₁)) (y : P₁) :
     Injective fun x : P₁ => pointReflection k x y :=
   Equiv.injective_pointReflection_left_of_injective_bit0 h y
 #align affine_equiv.injective_point_reflection_left_of_injective_bit0 AffineEquiv.injective_pointReflection_left_of_injective_bit0
+-/
 
+#print AffineEquiv.injective_pointReflection_left_of_module /-
 theorem injective_pointReflection_left_of_module [Invertible (2 : k)] :
     ∀ y, Injective fun x : P₁ => pointReflection k x y :=
   injective_pointReflection_left_of_injective_bit0 k fun x y h => by
     rwa [bit0, bit0, ← two_smul k x, ← two_smul k y,
       (isUnit_of_invertible (2 : k)).smul_left_cancel] at h 
 #align affine_equiv.injective_point_reflection_left_of_module AffineEquiv.injective_pointReflection_left_of_module
+-/
 
+#print AffineEquiv.pointReflection_fixed_iff_of_module /-
 theorem pointReflection_fixed_iff_of_module [Invertible (2 : k)] {x y : P₁} :
     pointReflection k x y = y ↔ y = x :=
   ((injective_pointReflection_left_of_module k y).eq_iff' (pointReflection_self k y)).trans eq_comm
 #align affine_equiv.point_reflection_fixed_iff_of_module AffineEquiv.pointReflection_fixed_iff_of_module
+-/
 
 end AffineEquiv
 
@@ -673,10 +798,12 @@ def toAffineEquiv (e : V₁ ≃ₗ[k] V₂) : V₁ ≃ᵃ[k] V₂
 #align linear_equiv.to_affine_equiv LinearEquiv.toAffineEquiv
 -/
 
+#print LinearEquiv.coe_toAffineEquiv /-
 @[simp]
 theorem coe_toAffineEquiv (e : V₁ ≃ₗ[k] V₂) : ⇑e.toAffineEquiv = e :=
   rfl
 #align linear_equiv.coe_to_affine_equiv LinearEquiv.coe_toAffineEquiv
+-/
 
 end LinearEquiv
 
@@ -684,12 +811,12 @@ namespace AffineMap
 
 open AffineEquiv
 
-include V₁
-
+#print AffineMap.lineMap_vadd /-
 theorem lineMap_vadd (v v' : V₁) (p : P₁) (c : k) :
     lineMap v v' c +ᵥ p = lineMap (v +ᵥ p) (v' +ᵥ p) c :=
   (vaddConst k p).apply_lineMap v v' c
 #align affine_map.line_map_vadd AffineMap.lineMap_vadd
+-/
 
 #print AffineMap.lineMap_vsub /-
 theorem lineMap_vsub (p₁ p₂ p₃ : P₁) (c : k) :
@@ -705,16 +832,20 @@ theorem vsub_lineMap (p₁ p₂ p₃ : P₁) (c : k) :
 #align affine_map.vsub_line_map AffineMap.vsub_lineMap
 -/
 
+#print AffineMap.vadd_lineMap /-
 theorem vadd_lineMap (v : V₁) (p₁ p₂ : P₁) (c : k) :
     v +ᵥ lineMap p₁ p₂ c = lineMap (v +ᵥ p₁) (v +ᵥ p₂) c :=
   (constVAdd k P₁ v).apply_lineMap p₁ p₂ c
 #align affine_map.vadd_line_map AffineMap.vadd_lineMap
+-/
 
 variable {R' : Type _} [CommRing R'] [Module R' V₁]
 
+#print AffineMap.homothety_neg_one_apply /-
 theorem homothety_neg_one_apply (c p : P₁) : homothety c (-1 : R') p = pointReflection R' c p := by
   simp [homothety_apply, point_reflection_apply]
 #align affine_map.homothety_neg_one_apply AffineMap.homothety_neg_one_apply
+-/
 
 end AffineMap
 

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

@@ -53,7 +53,7 @@ We define it using an `equiv` for the map and a `linear_equiv` for the linear pa
 to allow affine equivalences with good definitional equalities. -/
 @[nolint has_nonempty_instance]
 structure AffineEquiv (k P₁ P₂ : Type _) {V₁ V₂ : Type _} [Ring k] [AddCommGroup V₁] [Module k V₁]
-  [AddTorsor V₁ P₁] [AddCommGroup V₂] [Module k V₂] [AddTorsor V₂ P₂] extends P₁ ≃ P₂ where
+    [AddTorsor V₁ P₁] [AddCommGroup V₂] [Module k V₂] [AddTorsor V₂ P₂] extends P₁ ≃ P₂ where
   linear : V₁ ≃ₗ[k] V₂
   map_vadd' : ∀ (p : P₁) (v : V₁), to_equiv (v +ᵥ p) = linear v +ᵥ to_equiv p
 #align affine_equiv AffineEquiv
@@ -91,9 +91,9 @@ theorem linear_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : e.toAffineMap.linear = e.
 theorem toAffineMap_injective : Injective (toAffineMap : (P₁ ≃ᵃ[k] P₂) → P₁ →ᵃ[k] P₂) :=
   by
   rintro ⟨e, el, h⟩ ⟨e', el', h'⟩ H
-  simp only [to_affine_map_mk, Equiv.coe_inj, LinearEquiv.toLinearMap_inj] at H
+  simp only [to_affine_map_mk, Equiv.coe_inj, LinearEquiv.toLinearMap_inj] at H 
   congr
-  exacts[H.1, H.2]
+  exacts [H.1, H.2]
 #align affine_equiv.to_affine_map_injective AffineEquiv.toAffineMap_injective
 
 @[simp]
@@ -651,7 +651,7 @@ theorem injective_pointReflection_left_of_module [Invertible (2 : k)] :
     ∀ y, Injective fun x : P₁ => pointReflection k x y :=
   injective_pointReflection_left_of_injective_bit0 k fun x y h => by
     rwa [bit0, bit0, ← two_smul k x, ← two_smul k y,
-      (isUnit_of_invertible (2 : k)).smul_left_cancel] at h
+      (isUnit_of_invertible (2 : k)).smul_left_cancel] at h 
 #align affine_equiv.injective_point_reflection_left_of_module AffineEquiv.injective_pointReflection_left_of_module
 
 theorem pointReflection_fixed_iff_of_module [Invertible (2 : k)] {x y : P₁} :

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

@@ -43,7 +43,7 @@ affine space, affine equivalence
 
 open Function Set
 
-open Affine
+open scoped Affine
 
 #print AffineEquiv /-
 /-- An affine equivalence is an equivalence between affine spaces such that both forward

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

@@ -77,29 +77,17 @@ def toAffineMap (e : P₁ ≃ᵃ[k] P₂) : P₁ →ᵃ[k] P₂ :=
 #align affine_equiv.to_affine_map AffineEquiv.toAffineMap
 -/
 
-/- warning: affine_equiv.to_affine_map_mk -> AffineEquiv.toAffineMap_mk is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align affine_equiv.to_affine_map_mk AffineEquiv.toAffineMap_mkₓ'. -/
 @[simp]
 theorem toAffineMap_mk (f : P₁ ≃ P₂) (f' : V₁ ≃ₗ[k] V₂) (h) :
     toAffineMap (mk f f' h) = ⟨f, f', h⟩ :=
   rfl
 #align affine_equiv.to_affine_map_mk AffineEquiv.toAffineMap_mk
 
-/- warning: affine_equiv.linear_to_affine_map -> AffineEquiv.linear_toAffineMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align affine_equiv.linear_to_affine_map AffineEquiv.linear_toAffineMapₓ'. -/
 @[simp]
 theorem linear_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : e.toAffineMap.linear = e.linear :=
   rfl
 #align affine_equiv.linear_to_affine_map AffineEquiv.linear_toAffineMap
 
-/- warning: affine_equiv.to_affine_map_injective -> AffineEquiv.toAffineMap_injective is a dubious translation:
-lean 3 declaration is
-  forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)], Function.Injective.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u4) (succ u2) (succ u5) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineEquiv.toAffineMap.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7)
-but is expected to have type
-  forall {k : Type.{u1}} {P₁ : Type.{u5}} {P₂ : Type.{u4}} {V₁ : Type.{u3}} {V₂ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u2} V₂] [_inst_6 : Module.{u1, u2} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₂ _inst_5)] [_inst_7 : AddTorsor.{u2, u4} V₂ P₂ (AddCommGroup.toAddGroup.{u2} V₂ _inst_5)], Function.Injective.{max (max (max (succ u5) (succ u4)) (succ u3)) (succ u2), max (max (max (succ u5) (succ u4)) (succ u3)) (succ u2)} (AffineEquiv.{u1, u5, u4, u3, u2} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineMap.{u1, u3, u5, u2, u4} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineEquiv.toAffineMap.{u1, u5, u4, u3, u2} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7)
-Case conversion may be inaccurate. Consider using '#align affine_equiv.to_affine_map_injective AffineEquiv.toAffineMap_injectiveₓ'. -/
 theorem toAffineMap_injective : Injective (toAffineMap : (P₁ ≃ᵃ[k] P₂) → P₁ →ᵃ[k] P₂) :=
   by
   rintro ⟨e, el, h⟩ ⟨e', el', h'⟩ H
@@ -108,9 +96,6 @@ theorem toAffineMap_injective : Injective (toAffineMap : (P₁ ≃ᵃ[k] P₂) 
   exacts[H.1, H.2]
 #align affine_equiv.to_affine_map_injective AffineEquiv.toAffineMap_injective
 
-/- warning: affine_equiv.to_affine_map_inj -> AffineEquiv.toAffineMap_inj is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align affine_equiv.to_affine_map_inj AffineEquiv.toAffineMap_injₓ'. -/
 @[simp]
 theorem toAffineMap_inj {e e' : P₁ ≃ᵃ[k] P₂} : e.toAffineMap = e'.toAffineMap ↔ e = e' :=
   toAffineMap_injective.eq_iff
@@ -135,17 +120,11 @@ instance : Coe (P₁ ≃ᵃ[k] P₂) (P₁ ≃ P₂) :=
 
 variable {k P₁}
 
-/- warning: affine_equiv.map_vadd -> AffineEquiv.map_vadd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align affine_equiv.map_vadd AffineEquiv.map_vaddₓ'. -/
 @[simp]
 theorem map_vadd (e : P₁ ≃ᵃ[k] P₂) (p : P₁) (v : V₁) : e (v +ᵥ p) = e.linear v +ᵥ e p :=
   e.map_vadd' p v
 #align affine_equiv.map_vadd AffineEquiv.map_vadd
 
-/- warning: affine_equiv.coe_to_equiv -> AffineEquiv.coe_toEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_to_equiv AffineEquiv.coe_toEquivₓ'. -/
 @[simp]
 theorem coe_toEquiv (e : P₁ ≃ᵃ[k] P₂) : ⇑e.toEquiv = e :=
   rfl
@@ -154,33 +133,21 @@ theorem coe_toEquiv (e : P₁ ≃ᵃ[k] P₂) : ⇑e.toEquiv = e :=
 instance : Coe (P₁ ≃ᵃ[k] P₂) (P₁ →ᵃ[k] P₂) :=
   ⟨toAffineMap⟩
 
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 @[simp]
 theorem coe_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : (e.toAffineMap : P₁ → P₂) = (e : P₁ → P₂) :=
   rfl
 #align affine_equiv.coe_to_affine_map AffineEquiv.coe_toAffineMap
 
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 @[norm_cast, simp]
 theorem coe_coe (e : P₁ ≃ᵃ[k] P₂) : ((e : P₁ →ᵃ[k] P₂) : P₁ → P₂) = e :=
   rfl
 #align affine_equiv.coe_coe AffineEquiv.coe_coe
 
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-<too large>
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 @[simp]
 theorem coe_linear (e : P₁ ≃ᵃ[k] P₂) : (e : P₁ →ᵃ[k] P₂).linear = e.linear :=
   rfl
 #align affine_equiv.coe_linear AffineEquiv.coe_linear
 
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-<too large>
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 @[ext]
 theorem ext {e e' : P₁ ≃ᵃ[k] P₂} (h : ∀ x, e x = e' x) : e = e' :=
   FunLike.ext _ _ h
@@ -192,43 +159,25 @@ theorem coeFn_injective : @Injective (P₁ ≃ᵃ[k] P₂) (P₁ → P₂) coeFn
 #align affine_equiv.coe_fn_injective AffineEquiv.coeFn_injective
 -/
 
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 @[simp, norm_cast]
 theorem coeFn_inj {e e' : P₁ ≃ᵃ[k] P₂} : (e : P₁ → P₂) = e' ↔ e = e' :=
   coeFn_injective.eq_iff
 #align affine_equiv.coe_fn_inj AffineEquiv.coeFn_inj
 
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 theorem toEquiv_injective : Injective (toEquiv : (P₁ ≃ᵃ[k] P₂) → P₁ ≃ P₂) := fun e e' H =>
   ext <| Equiv.ext_iff.1 H
 #align affine_equiv.to_equiv_injective AffineEquiv.toEquiv_injective
 
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 @[simp]
 theorem toEquiv_inj {e e' : P₁ ≃ᵃ[k] P₂} : e.toEquiv = e'.toEquiv ↔ e = e' :=
   toEquiv_injective.eq_iff
 #align affine_equiv.to_equiv_inj AffineEquiv.toEquiv_inj
 
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-<too large>
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 @[simp]
 theorem coe_mk (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (h) : ((⟨e, e', h⟩ : P₁ ≃ᵃ[k] P₂) : P₁ → P₂) = e :=
   rfl
 #align affine_equiv.coe_mk AffineEquiv.coe_mk
 
-/- warning: affine_equiv.mk' -> AffineEquiv.mk' is a dubious translation:
-<too large>
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 /-- Construct an affine equivalence by verifying the relation between the map and its linear part at
 one base point. Namely, this function takes a map `e : P₁ → P₂`, a linear equivalence
 `e' : V₁ ≃ₗ[k] V₂`, and a point `p` such that for any other point `p'` we have
@@ -243,17 +192,11 @@ def mk' (e : P₁ → P₂) (e' : V₁ ≃ₗ[k] V₂) (p : P₁) (h : ∀ p' :
   map_vadd' p' v := by simp [h p', h (v +ᵥ p'), vadd_vsub_assoc, vadd_vadd]
 #align affine_equiv.mk' AffineEquiv.mk'
 
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 @[simp]
 theorem coe_mk' (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (p h) : ⇑(mk' e e' p h) = e :=
   rfl
 #align affine_equiv.coe_mk' AffineEquiv.coe_mk'
 
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 @[simp]
 theorem linear_mk' (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (p h) : (mk' e e' p h).linear = e' :=
   rfl
@@ -272,23 +215,11 @@ def symm (e : P₁ ≃ᵃ[k] P₂) : P₂ ≃ᵃ[k] P₁
 #align affine_equiv.symm AffineEquiv.symm
 -/
 
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 @[simp]
 theorem symm_toEquiv (e : P₁ ≃ᵃ[k] P₂) : e.toEquiv.symm = e.symm.toEquiv :=
   rfl
 #align affine_equiv.symm_to_equiv AffineEquiv.symm_toEquiv
 
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 @[simp]
 theorem symm_linear (e : P₁ ≃ᵃ[k] P₂) : e.linear.symm = e.symm.linear :=
   rfl
@@ -311,23 +242,14 @@ def Simps.symm_apply (e : P₁ ≃ᵃ[k] P₂) : P₂ → P₁ :=
 initialize_simps_projections AffineEquiv (to_equiv_to_fun → apply, to_equiv_inv_fun → symm_apply,
   linear → linear, as_prefix linear, -toEquiv)
 
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 protected theorem bijective (e : P₁ ≃ᵃ[k] P₂) : Bijective e :=
   e.toEquiv.Bijective
 #align affine_equiv.bijective AffineEquiv.bijective
 
-/- warning: affine_equiv.surjective -> AffineEquiv.surjective is a dubious translation:
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 protected theorem surjective (e : P₁ ≃ᵃ[k] P₂) : Surjective e :=
   e.toEquiv.Surjective
 #align affine_equiv.surjective AffineEquiv.surjective
 
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 protected theorem injective (e : P₁ ≃ᵃ[k] P₂) : Injective e :=
   e.toEquiv.Injective
 #align affine_equiv.injective AffineEquiv.injective
@@ -344,64 +266,40 @@ noncomputable def ofBijective {φ : P₁ →ᵃ[k] P₂} (hφ : Function.Bijecti
 #align affine_equiv.of_bijective AffineEquiv.ofBijective
 -/
 
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 theorem ofBijective.symm_eq {φ : P₁ →ᵃ[k] P₂} (hφ : Function.Bijective φ) :
     (ofBijective hφ).symm.toEquiv = (Equiv.ofBijective _ hφ).symm :=
   rfl
 #align affine_equiv.of_bijective.symm_eq AffineEquiv.ofBijective.symm_eq
 
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 @[simp]
 theorem range_eq (e : P₁ ≃ᵃ[k] P₂) : range e = univ :=
   e.Surjective.range_eq
 #align affine_equiv.range_eq AffineEquiv.range_eq
 
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 @[simp]
 theorem apply_symm_apply (e : P₁ ≃ᵃ[k] P₂) (p : P₂) : e (e.symm p) = p :=
   e.toEquiv.apply_symm_apply p
 #align affine_equiv.apply_symm_apply AffineEquiv.apply_symm_apply
 
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 @[simp]
 theorem symm_apply_apply (e : P₁ ≃ᵃ[k] P₂) (p : P₁) : e.symm (e p) = p :=
   e.toEquiv.symm_apply_apply p
 #align affine_equiv.symm_apply_apply AffineEquiv.symm_apply_apply
 
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 theorem apply_eq_iff_eq_symm_apply (e : P₁ ≃ᵃ[k] P₂) {p₁ p₂} : e p₁ = p₂ ↔ p₁ = e.symm p₂ :=
   e.toEquiv.apply_eq_iff_eq_symm_apply
 #align affine_equiv.apply_eq_iff_eq_symm_apply AffineEquiv.apply_eq_iff_eq_symm_apply
 
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 @[simp]
 theorem apply_eq_iff_eq (e : P₁ ≃ᵃ[k] P₂) {p₁ p₂ : P₁} : e p₁ = e p₂ ↔ p₁ = p₂ :=
   e.toEquiv.apply_eq_iff_eq
 #align affine_equiv.apply_eq_iff_eq AffineEquiv.apply_eq_iff_eq
 
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 @[simp]
 theorem image_symm (f : P₁ ≃ᵃ[k] P₂) (s : Set P₂) : f.symm '' s = f ⁻¹' s :=
   f.symm.toEquiv.image_eq_preimage _
 #align affine_equiv.image_symm AffineEquiv.image_symm
 
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 @[simp]
 theorem preimage_symm (f : P₁ ≃ᵃ[k] P₂) (s : Set P₁) : f.symm ⁻¹' s = f '' s :=
   (f.symm.image_symm _).symm
@@ -421,67 +319,31 @@ def refl : P₁ ≃ᵃ[k] P₁ where
 #align affine_equiv.refl AffineEquiv.refl
 -/
 
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 @[simp]
 theorem coe_refl : ⇑(refl k P₁) = id :=
   rfl
 #align affine_equiv.coe_refl AffineEquiv.coe_refl
 
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 @[simp]
 theorem coe_refl_to_affineMap : ↑(refl k P₁) = AffineMap.id k P₁ :=
   rfl
 #align affine_equiv.coe_refl_to_affine_map AffineEquiv.coe_refl_to_affineMap
 
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 @[simp]
 theorem refl_apply (x : P₁) : refl k P₁ x = x :=
   rfl
 #align affine_equiv.refl_apply AffineEquiv.refl_apply
 
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 @[simp]
 theorem toEquiv_refl : (refl k P₁).toEquiv = Equiv.refl P₁ :=
   rfl
 #align affine_equiv.to_equiv_refl AffineEquiv.toEquiv_refl
 
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 @[simp]
 theorem linear_refl : (refl k P₁).linear = LinearEquiv.refl k V₁ :=
   rfl
 #align affine_equiv.linear_refl AffineEquiv.linear_refl
 
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 @[simp]
 theorem symm_refl : (refl k P₁).symm = refl k P₁ :=
   rfl
@@ -503,26 +365,17 @@ def trans (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) : P₁ ≃ᵃ[k]
 #align affine_equiv.trans AffineEquiv.trans
 -/
 
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 @[simp]
 theorem coe_trans (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) : ⇑(e.trans e') = e' ∘ e :=
   rfl
 #align affine_equiv.coe_trans AffineEquiv.coe_trans
 
-/- warning: affine_equiv.coe_trans_to_affine_map -> AffineEquiv.coe_trans_to_affineMap is a dubious translation:
-<too large>
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 @[simp]
 theorem coe_trans_to_affineMap (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) :
     (e.trans e' : P₁ →ᵃ[k] P₃) = (e' : P₂ →ᵃ[k] P₃).comp e :=
   rfl
 #align affine_equiv.coe_trans_to_affine_map AffineEquiv.coe_trans_to_affineMap
 
-/- warning: affine_equiv.trans_apply -> AffineEquiv.trans_apply is a dubious translation:
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 @[simp]
 theorem trans_apply (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) (p : P₁) : e.trans e' p = e' (e p) :=
   rfl
@@ -530,9 +383,6 @@ theorem trans_apply (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) (p : P
 
 include V₄
 
-/- warning: affine_equiv.trans_assoc -> AffineEquiv.trans_assoc is a dubious translation:
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 theorem trans_assoc (e₁ : P₁ ≃ᵃ[k] P₂) (e₂ : P₂ ≃ᵃ[k] P₃) (e₃ : P₃ ≃ᵃ[k] P₄) :
     (e₁.trans e₂).trans e₃ = e₁.trans (e₂.trans e₃) :=
   ext fun _ => rfl
@@ -540,41 +390,26 @@ theorem trans_assoc (e₁ : P₁ ≃ᵃ[k] P₂) (e₂ : P₂ ≃ᵃ[k] P₃) (e
 
 omit V₃ V₄
 
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 @[simp]
 theorem trans_refl (e : P₁ ≃ᵃ[k] P₂) : e.trans (refl k P₂) = e :=
   ext fun _ => rfl
 #align affine_equiv.trans_refl AffineEquiv.trans_refl
 
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 @[simp]
 theorem refl_trans (e : P₁ ≃ᵃ[k] P₂) : (refl k P₁).trans e = e :=
   ext fun _ => rfl
 #align affine_equiv.refl_trans AffineEquiv.refl_trans
 
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 @[simp]
 theorem self_trans_symm (e : P₁ ≃ᵃ[k] P₂) : e.trans e.symm = refl k P₁ :=
   ext e.symm_apply_apply
 #align affine_equiv.self_trans_symm AffineEquiv.self_trans_symm
 
-/- warning: affine_equiv.symm_trans_self -> AffineEquiv.symm_trans_self is a dubious translation:
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 @[simp]
 theorem symm_trans_self (e : P₁ ≃ᵃ[k] P₂) : e.symm.trans e = refl k P₂ :=
   ext e.apply_symm_apply
 #align affine_equiv.symm_trans_self AffineEquiv.symm_trans_self
 
-/- warning: affine_equiv.apply_line_map -> AffineEquiv.apply_lineMap is a dubious translation:
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 @[simp]
 theorem apply_lineMap (e : P₁ ≃ᵃ[k] P₂) (a b : P₁) (c : k) :
     e (AffineMap.lineMap a b c) = AffineMap.lineMap (e a) (e b) c :=
@@ -592,48 +427,24 @@ instance : Group (P₁ ≃ᵃ[k] P₁) where
   mul_one := refl_trans
   mul_left_inv := self_trans_symm
 
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 theorem one_def : (1 : P₁ ≃ᵃ[k] P₁) = refl k P₁ :=
   rfl
 #align affine_equiv.one_def AffineEquiv.one_def
 
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 @[simp]
 theorem coe_one : ⇑(1 : P₁ ≃ᵃ[k] P₁) = id :=
   rfl
 #align affine_equiv.coe_one AffineEquiv.coe_one
 
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 theorem mul_def (e e' : P₁ ≃ᵃ[k] P₁) : e * e' = e'.trans e :=
   rfl
 #align affine_equiv.mul_def AffineEquiv.mul_def
 
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 @[simp]
 theorem coe_mul (e e' : P₁ ≃ᵃ[k] P₁) : ⇑(e * e') = e ∘ e' :=
   rfl
 #align affine_equiv.coe_mul AffineEquiv.coe_mul
 
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 theorem inv_def (e : P₁ ≃ᵃ[k] P₁) : e⁻¹ = e.symm :=
   rfl
 #align affine_equiv.inv_def AffineEquiv.inv_def
@@ -649,12 +460,6 @@ def linearHom : (P₁ ≃ᵃ[k] P₁) →* V₁ ≃ₗ[k] V₁
 #align affine_equiv.linear_hom AffineEquiv.linearHom
 -/
 
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 /-- The group of `affine_equiv`s are equivalent to the group of units of `affine_map`.
 
 This is the affine version of `linear_map.general_linear_group.general_linear_equiv`. -/
@@ -699,23 +504,11 @@ def constVSub (p : P₁) : P₁ ≃ᵃ[k] V₁
 #align affine_equiv.const_vsub AffineEquiv.constVSub
 -/
 
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 @[simp]
 theorem coe_constVSub (p : P₁) : ⇑(constVSub k p) = (· -ᵥ ·) p :=
   rfl
 #align affine_equiv.coe_const_vsub AffineEquiv.coe_constVSub
 
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 @[simp]
 theorem coe_constVSub_symm (p : P₁) : ⇑(constVSub k p).symm = fun v => -v +ᵥ p :=
   rfl
@@ -737,35 +530,17 @@ def constVAdd (v : V₁) : P₁ ≃ᵃ[k] P₁
 #align affine_equiv.const_vadd AffineEquiv.constVAdd
 -/
 
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 @[simp]
 theorem constVAdd_zero : constVAdd k P₁ 0 = AffineEquiv.refl _ _ :=
   ext <| zero_vadd _
 #align affine_equiv.const_vadd_zero AffineEquiv.constVAdd_zero
 
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 @[simp]
 theorem constVAdd_add (v w : V₁) :
     constVAdd k P₁ (v + w) = (constVAdd k P₁ w).trans (constVAdd k P₁ v) :=
   ext <| add_vadd _ _
 #align affine_equiv.const_vadd_add AffineEquiv.constVAdd_add
 
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 @[simp]
 theorem constVAdd_symm (v : V₁) : (constVAdd k P₁ v).symm = constVAdd k P₁ (-v) :=
   ext fun _ => rfl
@@ -782,22 +557,10 @@ def constVAddHom : Multiplicative V₁ →* P₁ ≃ᵃ[k] P₁
 #align affine_equiv.const_vadd_hom AffineEquiv.constVAddHom
 -/
 
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 theorem constVAdd_nsmul (n : ℕ) (v : V₁) : constVAdd k P₁ (n • v) = constVAdd k P₁ v ^ n :=
   (constVAddHom k P₁).map_pow _ _
 #align affine_equiv.const_vadd_nsmul AffineEquiv.constVAdd_nsmul
 
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 theorem constVAdd_zsmul (z : ℤ) (v : V₁) : constVAdd k P₁ (z • v) = constVAdd k P₁ v ^ z :=
   (constVAddHom k P₁).map_zpow _ _
 #align affine_equiv.const_vadd_zsmul AffineEquiv.constVAdd_zsmul
@@ -810,39 +573,24 @@ variable {R V P : Type _} [CommRing R] [AddCommGroup V] [Module R V] [affine_spa
 
 include V
 
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 /-- Fixing a point in affine space, homothety about this point gives a group homomorphism from (the
 centre of) the units of the scalars into the group of affine equivalences. -/
 def homothetyUnitsMulHom (p : P) : Rˣ →* P ≃ᵃ[R] P :=
   equivUnitsAffineMap.symm.toMonoidHom.comp <| Units.map (AffineMap.homothetyHom p)
 #align affine_equiv.homothety_units_mul_hom AffineEquiv.homothetyUnitsMulHom
 
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 @[simp]
 theorem coe_homothetyUnitsMulHom_apply (p : P) (t : Rˣ) :
     (homothetyUnitsMulHom p t : P → P) = AffineMap.homothety p (t : R) :=
   rfl
 #align affine_equiv.coe_homothety_units_mul_hom_apply AffineEquiv.coe_homothetyUnitsMulHom_apply
 
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 @[simp]
 theorem coe_homothetyUnitsMulHom_apply_symm (p : P) (t : Rˣ) :
     ((homothetyUnitsMulHom p t).symm : P → P) = AffineMap.homothety p (↑t⁻¹ : R) :=
   rfl
 #align affine_equiv.coe_homothety_units_mul_hom_apply_symm AffineEquiv.coe_homothetyUnitsMulHom_apply_symm
 
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 @[simp]
 theorem coe_homothetyUnitsMulHom_eq_homothetyHom_coe (p : P) :
     (coe : (P ≃ᵃ[R] P) → P →ᵃ[R] P) ∘ homothetyUnitsMulHom p =
@@ -863,60 +611,30 @@ def pointReflection (x : P₁) : P₁ ≃ᵃ[k] P₁ :=
 #align affine_equiv.point_reflection AffineEquiv.pointReflection
 -/
 
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 theorem pointReflection_apply (x y : P₁) : pointReflection k x y = x -ᵥ y +ᵥ x :=
   rfl
 #align affine_equiv.point_reflection_apply AffineEquiv.pointReflection_apply
 
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 @[simp]
 theorem pointReflection_symm (x : P₁) : (pointReflection k x).symm = pointReflection k x :=
   toEquiv_injective <| Equiv.pointReflection_symm x
 #align affine_equiv.point_reflection_symm AffineEquiv.pointReflection_symm
 
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 @[simp]
 theorem toEquiv_pointReflection (x : P₁) :
     (pointReflection k x).toEquiv = Equiv.pointReflection x :=
   rfl
 #align affine_equiv.to_equiv_point_reflection AffineEquiv.toEquiv_pointReflection
 
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 @[simp]
 theorem pointReflection_self (x : P₁) : pointReflection k x x = x :=
   vsub_vadd _ _
 #align affine_equiv.point_reflection_self AffineEquiv.pointReflection_self
 
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 theorem pointReflection_involutive (x : P₁) : Involutive (pointReflection k x : P₁ → P₁) :=
   Equiv.pointReflection_involutive x
 #align affine_equiv.point_reflection_involutive AffineEquiv.pointReflection_involutive
 
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 /-- `x` is the only fixed point of `point_reflection x`. This lemma requires
 `x + x = y + y ↔ x = y`. There is no typeclass to use here, so we add it as an explicit argument. -/
 theorem pointReflection_fixed_iff_of_injective_bit0 {x y : P₁} (h : Injective (bit0 : V₁ → V₁)) :
@@ -924,17 +642,11 @@ theorem pointReflection_fixed_iff_of_injective_bit0 {x y : P₁} (h : Injective
   Equiv.pointReflection_fixed_iff_of_injective_bit0 h
 #align affine_equiv.point_reflection_fixed_iff_of_injective_bit0 AffineEquiv.pointReflection_fixed_iff_of_injective_bit0
 
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 theorem injective_pointReflection_left_of_injective_bit0 (h : Injective (bit0 : V₁ → V₁)) (y : P₁) :
     Injective fun x : P₁ => pointReflection k x y :=
   Equiv.injective_pointReflection_left_of_injective_bit0 h y
 #align affine_equiv.injective_point_reflection_left_of_injective_bit0 AffineEquiv.injective_pointReflection_left_of_injective_bit0
 
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 theorem injective_pointReflection_left_of_module [Invertible (2 : k)] :
     ∀ y, Injective fun x : P₁ => pointReflection k x y :=
   injective_pointReflection_left_of_injective_bit0 k fun x y h => by
@@ -942,9 +654,6 @@ theorem injective_pointReflection_left_of_module [Invertible (2 : k)] :
       (isUnit_of_invertible (2 : k)).smul_left_cancel] at h
 #align affine_equiv.injective_point_reflection_left_of_module AffineEquiv.injective_pointReflection_left_of_module
 
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 theorem pointReflection_fixed_iff_of_module [Invertible (2 : k)] {x y : P₁} :
     pointReflection k x y = y ↔ y = x :=
   ((injective_pointReflection_left_of_module k y).eq_iff' (pointReflection_self k y)).trans eq_comm
@@ -964,9 +673,6 @@ def toAffineEquiv (e : V₁ ≃ₗ[k] V₂) : V₁ ≃ᵃ[k] V₂
 #align linear_equiv.to_affine_equiv LinearEquiv.toAffineEquiv
 -/
 
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 @[simp]
 theorem coe_toAffineEquiv (e : V₁ ≃ₗ[k] V₂) : ⇑e.toAffineEquiv = e :=
   rfl
@@ -980,9 +686,6 @@ open AffineEquiv
 
 include V₁
 
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 theorem lineMap_vadd (v v' : V₁) (p : P₁) (c : k) :
     lineMap v v' c +ᵥ p = lineMap (v +ᵥ p) (v' +ᵥ p) c :=
   (vaddConst k p).apply_lineMap v v' c
@@ -1002,9 +705,6 @@ theorem vsub_lineMap (p₁ p₂ p₃ : P₁) (c : k) :
 #align affine_map.vsub_line_map AffineMap.vsub_lineMap
 -/
 
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 theorem vadd_lineMap (v : V₁) (p₁ p₂ : P₁) (c : k) :
     v +ᵥ lineMap p₁ p₂ c = lineMap (v +ᵥ p₁) (v +ᵥ p₂) c :=
   (constVAdd k P₁ v).apply_lineMap p₁ p₂ c
@@ -1012,12 +712,6 @@ theorem vadd_lineMap (v : V₁) (p₁ p₂ : P₁) (c : k) :
 
 variable {R' : Type _} [CommRing R'] [Module R' V₁]
 
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 theorem homothety_neg_one_apply (c p : P₁) : homothety c (-1 : R') p = pointReflection R' c p := by
   simp [homothety_apply, point_reflection_apply]
 #align affine_map.homothety_neg_one_apply AffineMap.homothety_neg_one_apply

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

@@ -78,10 +78,7 @@ def toAffineMap (e : P₁ ≃ᵃ[k] P₂) : P₁ →ᵃ[k] P₂ :=
 -/
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_equiv.to_affine_map_mk AffineEquiv.toAffineMap_mkₓ'. -/
 @[simp]
 theorem toAffineMap_mk (f : P₁ ≃ P₂) (f' : V₁ ≃ₗ[k] V₂) (h) :
@@ -90,10 +87,7 @@ theorem toAffineMap_mk (f : P₁ ≃ P₂) (f' : V₁ ≃ₗ[k] V₂) (h) :
 #align affine_equiv.to_affine_map_mk AffineEquiv.toAffineMap_mk
 
 /- warning: affine_equiv.linear_to_affine_map -> AffineEquiv.linear_toAffineMap is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.linear_to_affine_map AffineEquiv.linear_toAffineMapₓ'. -/
 @[simp]
 theorem linear_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : e.toAffineMap.linear = e.linear :=
@@ -115,10 +109,7 @@ theorem toAffineMap_injective : Injective (toAffineMap : (P₁ ≃ᵃ[k] P₂) 
 #align affine_equiv.to_affine_map_injective AffineEquiv.toAffineMap_injective
 
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 @[simp]
 theorem toAffineMap_inj {e e' : P₁ ≃ᵃ[k] P₂} : e.toAffineMap = e'.toAffineMap ↔ e = e' :=
@@ -145,10 +136,7 @@ instance : Coe (P₁ ≃ᵃ[k] P₂) (P₁ ≃ P₂) :=
 variable {k P₁}
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.map_vadd AffineEquiv.map_vaddₓ'. -/
 @[simp]
 theorem map_vadd (e : P₁ ≃ᵃ[k] P₂) (p : P₁) (v : V₁) : e (v +ᵥ p) = e.linear v +ᵥ e p :=
@@ -156,10 +144,7 @@ theorem map_vadd (e : P₁ ≃ᵃ[k] P₂) (p : P₁) (v : V₁) : e (v +ᵥ p)
 #align affine_equiv.map_vadd AffineEquiv.map_vadd
 
 /- warning: affine_equiv.coe_to_equiv -> AffineEquiv.coe_toEquiv is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_to_equiv AffineEquiv.coe_toEquivₓ'. -/
 @[simp]
 theorem coe_toEquiv (e : P₁ ≃ᵃ[k] P₂) : ⇑e.toEquiv = e :=
@@ -170,10 +155,7 @@ instance : Coe (P₁ ≃ᵃ[k] P₂) (P₁ →ᵃ[k] P₂) :=
   ⟨toAffineMap⟩
 
 /- warning: affine_equiv.coe_to_affine_map -> AffineEquiv.coe_toAffineMap is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_to_affine_map AffineEquiv.coe_toAffineMapₓ'. -/
 @[simp]
 theorem coe_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : (e.toAffineMap : P₁ → P₂) = (e : P₁ → P₂) :=
@@ -181,10 +163,7 @@ theorem coe_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : (e.toAffineMap : P₁ → P
 #align affine_equiv.coe_to_affine_map AffineEquiv.coe_toAffineMap
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_coe AffineEquiv.coe_coeₓ'. -/
 @[norm_cast, simp]
 theorem coe_coe (e : P₁ ≃ᵃ[k] P₂) : ((e : P₁ →ᵃ[k] P₂) : P₁ → P₂) = e :=
@@ -192,10 +171,7 @@ theorem coe_coe (e : P₁ ≃ᵃ[k] P₂) : ((e : P₁ →ᵃ[k] P₂) : P₁ 
 #align affine_equiv.coe_coe AffineEquiv.coe_coe
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_linear AffineEquiv.coe_linearₓ'. -/
 @[simp]
 theorem coe_linear (e : P₁ ≃ᵃ[k] P₂) : (e : P₁ →ᵃ[k] P₂).linear = e.linear :=
@@ -203,10 +179,7 @@ theorem coe_linear (e : P₁ ≃ᵃ[k] P₂) : (e : P₁ →ᵃ[k] P₂).linear
 #align affine_equiv.coe_linear AffineEquiv.coe_linear
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.ext AffineEquiv.extₓ'. -/
 @[ext]
 theorem ext {e e' : P₁ ≃ᵃ[k] P₂} (h : ∀ x, e x = e' x) : e = e' :=
@@ -220,10 +193,7 @@ theorem coeFn_injective : @Injective (P₁ ≃ᵃ[k] P₂) (P₁ → P₂) coeFn
 -/
 
 /- warning: affine_equiv.coe_fn_inj -> AffineEquiv.coeFn_inj is a dubious translation:
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 @[simp, norm_cast]
 theorem coeFn_inj {e e' : P₁ ≃ᵃ[k] P₂} : (e : P₁ → P₂) = e' ↔ e = e' :=
@@ -241,10 +211,7 @@ theorem toEquiv_injective : Injective (toEquiv : (P₁ ≃ᵃ[k] P₂) → P₁
 #align affine_equiv.to_equiv_injective AffineEquiv.toEquiv_injective
 
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 @[simp]
 theorem toEquiv_inj {e e' : P₁ ≃ᵃ[k] P₂} : e.toEquiv = e'.toEquiv ↔ e = e' :=
@@ -252,10 +219,7 @@ theorem toEquiv_inj {e e' : P₁ ≃ᵃ[k] P₂} : e.toEquiv = e'.toEquiv ↔ e
 #align affine_equiv.to_equiv_inj AffineEquiv.toEquiv_inj
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_mk AffineEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (h) : ((⟨e, e', h⟩ : P₁ ≃ᵃ[k] P₂) : P₁ → P₂) = e :=
@@ -263,10 +227,7 @@ theorem coe_mk (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (h) : ((⟨e, e',
 #align affine_equiv.coe_mk AffineEquiv.coe_mk
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_equiv.mk' AffineEquiv.mk'ₓ'. -/
 /-- Construct an affine equivalence by verifying the relation between the map and its linear part at
 one base point. Namely, this function takes a map `e : P₁ → P₂`, a linear equivalence
@@ -283,10 +244,7 @@ def mk' (e : P₁ → P₂) (e' : V₁ ≃ₗ[k] V₂) (p : P₁) (h : ∀ p' :
 #align affine_equiv.mk' AffineEquiv.mk'
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_mk' AffineEquiv.coe_mk'ₓ'. -/
 @[simp]
 theorem coe_mk' (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (p h) : ⇑(mk' e e' p h) = e :=
@@ -294,10 +252,7 @@ theorem coe_mk' (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (p h) : ⇑(mk' e
 #align affine_equiv.coe_mk' AffineEquiv.coe_mk'
 
 /- warning: affine_equiv.linear_mk' -> AffineEquiv.linear_mk' is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_equiv.linear_mk' AffineEquiv.linear_mk'ₓ'. -/
 @[simp]
 theorem linear_mk' (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (p h) : (mk' e e' p h).linear = e' :=
@@ -357,30 +312,21 @@ initialize_simps_projections AffineEquiv (to_equiv_to_fun → apply, to_equiv_in
   linear → linear, as_prefix linear, -toEquiv)
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.bijective AffineEquiv.bijectiveₓ'. -/
 protected theorem bijective (e : P₁ ≃ᵃ[k] P₂) : Bijective e :=
   e.toEquiv.Bijective
 #align affine_equiv.bijective AffineEquiv.bijective
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.surjective AffineEquiv.surjectiveₓ'. -/
 protected theorem surjective (e : P₁ ≃ᵃ[k] P₂) : Surjective e :=
   e.toEquiv.Surjective
 #align affine_equiv.surjective AffineEquiv.surjective
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.injective AffineEquiv.injectiveₓ'. -/
 protected theorem injective (e : P₁ ≃ᵃ[k] P₂) : Injective e :=
   e.toEquiv.Injective
@@ -399,10 +345,7 @@ noncomputable def ofBijective {φ : P₁ →ᵃ[k] P₂} (hφ : Function.Bijecti
 -/
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.of_bijective.symm_eq AffineEquiv.ofBijective.symm_eqₓ'. -/
 theorem ofBijective.symm_eq {φ : P₁ →ᵃ[k] P₂} (hφ : Function.Bijective φ) :
     (ofBijective hφ).symm.toEquiv = (Equiv.ofBijective _ hφ).symm :=
@@ -410,10 +353,7 @@ theorem ofBijective.symm_eq {φ : P₁ →ᵃ[k] P₂} (hφ : Function.Bijective
 #align affine_equiv.of_bijective.symm_eq AffineEquiv.ofBijective.symm_eq
 
 /- warning: affine_equiv.range_eq -> AffineEquiv.range_eq is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.range_eq AffineEquiv.range_eqₓ'. -/
 @[simp]
 theorem range_eq (e : P₁ ≃ᵃ[k] P₂) : range e = univ :=
@@ -421,10 +361,7 @@ theorem range_eq (e : P₁ ≃ᵃ[k] P₂) : range e = univ :=
 #align affine_equiv.range_eq AffineEquiv.range_eq
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.apply_symm_apply AffineEquiv.apply_symm_applyₓ'. -/
 @[simp]
 theorem apply_symm_apply (e : P₁ ≃ᵃ[k] P₂) (p : P₂) : e (e.symm p) = p :=
@@ -432,10 +369,7 @@ theorem apply_symm_apply (e : P₁ ≃ᵃ[k] P₂) (p : P₂) : e (e.symm p) = p
 #align affine_equiv.apply_symm_apply AffineEquiv.apply_symm_apply
 
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 @[simp]
 theorem symm_apply_apply (e : P₁ ≃ᵃ[k] P₂) (p : P₁) : e.symm (e p) = p :=
@@ -443,20 +377,14 @@ theorem symm_apply_apply (e : P₁ ≃ᵃ[k] P₂) (p : P₁) : e.symm (e p) = p
 #align affine_equiv.symm_apply_apply AffineEquiv.symm_apply_apply
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.apply_eq_iff_eq_symm_apply AffineEquiv.apply_eq_iff_eq_symm_applyₓ'. -/
 theorem apply_eq_iff_eq_symm_apply (e : P₁ ≃ᵃ[k] P₂) {p₁ p₂} : e p₁ = p₂ ↔ p₁ = e.symm p₂ :=
   e.toEquiv.apply_eq_iff_eq_symm_apply
 #align affine_equiv.apply_eq_iff_eq_symm_apply AffineEquiv.apply_eq_iff_eq_symm_apply
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.apply_eq_iff_eq AffineEquiv.apply_eq_iff_eqₓ'. -/
 @[simp]
 theorem apply_eq_iff_eq (e : P₁ ≃ᵃ[k] P₂) {p₁ p₂ : P₁} : e p₁ = e p₂ ↔ p₁ = p₂ :=
@@ -464,10 +392,7 @@ theorem apply_eq_iff_eq (e : P₁ ≃ᵃ[k] P₂) {p₁ p₂ : P₁} : e p₁ =
 #align affine_equiv.apply_eq_iff_eq AffineEquiv.apply_eq_iff_eq
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.image_symm AffineEquiv.image_symmₓ'. -/
 @[simp]
 theorem image_symm (f : P₁ ≃ᵃ[k] P₂) (s : Set P₂) : f.symm '' s = f ⁻¹' s :=
@@ -475,10 +400,7 @@ theorem image_symm (f : P₁ ≃ᵃ[k] P₂) (s : Set P₂) : f.symm '' s = f 
 #align affine_equiv.image_symm AffineEquiv.image_symm
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.preimage_symm AffineEquiv.preimage_symmₓ'. -/
 @[simp]
 theorem preimage_symm (f : P₁ ≃ᵃ[k] P₂) (s : Set P₁) : f.symm ⁻¹' s = f '' s :=
@@ -582,10 +504,7 @@ def trans (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) : P₁ ≃ᵃ[k]
 -/
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_trans AffineEquiv.coe_transₓ'. -/
 @[simp]
 theorem coe_trans (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) : ⇑(e.trans e') = e' ∘ e :=
@@ -593,10 +512,7 @@ theorem coe_trans (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) : ⇑(e.t
 #align affine_equiv.coe_trans AffineEquiv.coe_trans
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_trans_to_affine_map AffineEquiv.coe_trans_to_affineMapₓ'. -/
 @[simp]
 theorem coe_trans_to_affineMap (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) :
@@ -605,10 +521,7 @@ theorem coe_trans_to_affineMap (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P
 #align affine_equiv.coe_trans_to_affine_map AffineEquiv.coe_trans_to_affineMap
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.trans_apply AffineEquiv.trans_applyₓ'. -/
 @[simp]
 theorem trans_apply (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) (p : P₁) : e.trans e' p = e' (e p) :=
@@ -618,10 +531,7 @@ theorem trans_apply (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) (p : P
 include V₄
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.trans_assoc AffineEquiv.trans_assocₓ'. -/
 theorem trans_assoc (e₁ : P₁ ≃ᵃ[k] P₂) (e₂ : P₂ ≃ᵃ[k] P₃) (e₃ : P₃ ≃ᵃ[k] P₄) :
     (e₁.trans e₂).trans e₃ = e₁.trans (e₂.trans e₃) :=
@@ -631,10 +541,7 @@ theorem trans_assoc (e₁ : P₁ ≃ᵃ[k] P₂) (e₂ : P₂ ≃ᵃ[k] P₃) (e
 omit V₃ V₄
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_equiv.trans_refl AffineEquiv.trans_reflₓ'. -/
 @[simp]
 theorem trans_refl (e : P₁ ≃ᵃ[k] P₂) : e.trans (refl k P₂) = e :=
@@ -642,10 +549,7 @@ theorem trans_refl (e : P₁ ≃ᵃ[k] P₂) : e.trans (refl k P₂) = e :=
 #align affine_equiv.trans_refl AffineEquiv.trans_refl
 
 /- warning: affine_equiv.refl_trans -> AffineEquiv.refl_trans is a dubious translation:
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 @[simp]
 theorem refl_trans (e : P₁ ≃ᵃ[k] P₂) : (refl k P₁).trans e = e :=
@@ -653,10 +557,7 @@ theorem refl_trans (e : P₁ ≃ᵃ[k] P₂) : (refl k P₁).trans e = e :=
 #align affine_equiv.refl_trans AffineEquiv.refl_trans
 
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 @[simp]
 theorem self_trans_symm (e : P₁ ≃ᵃ[k] P₂) : e.trans e.symm = refl k P₁ :=
@@ -664,10 +565,7 @@ theorem self_trans_symm (e : P₁ ≃ᵃ[k] P₂) : e.trans e.symm = refl k P₁
 #align affine_equiv.self_trans_symm AffineEquiv.self_trans_symm
 
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 @[simp]
 theorem symm_trans_self (e : P₁ ≃ᵃ[k] P₂) : e.symm.trans e = refl k P₂ :=
@@ -675,10 +573,7 @@ theorem symm_trans_self (e : P₁ ≃ᵃ[k] P₂) : e.symm.trans e = refl k P₂
 #align affine_equiv.symm_trans_self AffineEquiv.symm_trans_self
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.apply_line_map AffineEquiv.apply_lineMapₓ'. -/
 @[simp]
 theorem apply_lineMap (e : P₁ ≃ᵃ[k] P₂) (a b : P₁) (c : k) :
@@ -719,20 +614,14 @@ theorem coe_one : ⇑(1 : P₁ ≃ᵃ[k] P₁) = id :=
 #align affine_equiv.coe_one AffineEquiv.coe_one
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.mul_def AffineEquiv.mul_defₓ'. -/
 theorem mul_def (e e' : P₁ ≃ᵃ[k] P₁) : e * e' = e'.trans e :=
   rfl
 #align affine_equiv.mul_def AffineEquiv.mul_def
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_mul AffineEquiv.coe_mulₓ'. -/
 @[simp]
 theorem coe_mul (e e' : P₁ ≃ᵃ[k] P₁) : ⇑(e * e') = e ∘ e' :=
@@ -934,10 +823,7 @@ def homothetyUnitsMulHom (p : P) : Rˣ →* P ≃ᵃ[R] P :=
 #align affine_equiv.homothety_units_mul_hom AffineEquiv.homothetyUnitsMulHom
 
 /- warning: affine_equiv.coe_homothety_units_mul_hom_apply -> AffineEquiv.coe_homothetyUnitsMulHom_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_homothety_units_mul_hom_apply AffineEquiv.coe_homothetyUnitsMulHom_applyₓ'. -/
 @[simp]
 theorem coe_homothetyUnitsMulHom_apply (p : P) (t : Rˣ) :
@@ -946,10 +832,7 @@ theorem coe_homothetyUnitsMulHom_apply (p : P) (t : Rˣ) :
 #align affine_equiv.coe_homothety_units_mul_hom_apply AffineEquiv.coe_homothetyUnitsMulHom_apply
 
 /- warning: affine_equiv.coe_homothety_units_mul_hom_apply_symm -> AffineEquiv.coe_homothetyUnitsMulHom_apply_symm is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_homothety_units_mul_hom_apply_symm AffineEquiv.coe_homothetyUnitsMulHom_apply_symmₓ'. -/
 @[simp]
 theorem coe_homothetyUnitsMulHom_apply_symm (p : P) (t : Rˣ) :
@@ -958,10 +841,7 @@ theorem coe_homothetyUnitsMulHom_apply_symm (p : P) (t : Rˣ) :
 #align affine_equiv.coe_homothety_units_mul_hom_apply_symm AffineEquiv.coe_homothetyUnitsMulHom_apply_symm
 
 /- warning: affine_equiv.coe_homothety_units_mul_hom_eq_homothety_hom_coe -> AffineEquiv.coe_homothetyUnitsMulHom_eq_homothetyHom_coe is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_homothety_units_mul_hom_eq_homothety_hom_coe AffineEquiv.coe_homothetyUnitsMulHom_eq_homothetyHom_coeₓ'. -/
 @[simp]
 theorem coe_homothetyUnitsMulHom_eq_homothetyHom_coe (p : P) :
@@ -984,10 +864,7 @@ def pointReflection (x : P₁) : P₁ ≃ᵃ[k] P₁ :=
 -/
 
 /- warning: affine_equiv.point_reflection_apply -> AffineEquiv.pointReflection_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.point_reflection_apply AffineEquiv.pointReflection_applyₓ'. -/
 theorem pointReflection_apply (x y : P₁) : pointReflection k x y = x -ᵥ y +ᵥ x :=
   rfl
@@ -1038,10 +915,7 @@ theorem pointReflection_involutive (x : P₁) : Involutive (pointReflection k x
 #align affine_equiv.point_reflection_involutive AffineEquiv.pointReflection_involutive
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.point_reflection_fixed_iff_of_injective_bit0 AffineEquiv.pointReflection_fixed_iff_of_injective_bit0ₓ'. -/
 /-- `x` is the only fixed point of `point_reflection x`. This lemma requires
 `x + x = y + y ↔ x = y`. There is no typeclass to use here, so we add it as an explicit argument. -/
@@ -1051,10 +925,7 @@ theorem pointReflection_fixed_iff_of_injective_bit0 {x y : P₁} (h : Injective
 #align affine_equiv.point_reflection_fixed_iff_of_injective_bit0 AffineEquiv.pointReflection_fixed_iff_of_injective_bit0
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.injective_point_reflection_left_of_injective_bit0 AffineEquiv.injective_pointReflection_left_of_injective_bit0ₓ'. -/
 theorem injective_pointReflection_left_of_injective_bit0 (h : Injective (bit0 : V₁ → V₁)) (y : P₁) :
     Injective fun x : P₁ => pointReflection k x y :=
@@ -1062,10 +933,7 @@ theorem injective_pointReflection_left_of_injective_bit0 (h : Injective (bit0 :
 #align affine_equiv.injective_point_reflection_left_of_injective_bit0 AffineEquiv.injective_pointReflection_left_of_injective_bit0
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.injective_point_reflection_left_of_module AffineEquiv.injective_pointReflection_left_of_moduleₓ'. -/
 theorem injective_pointReflection_left_of_module [Invertible (2 : k)] :
     ∀ y, Injective fun x : P₁ => pointReflection k x y :=
@@ -1075,10 +943,7 @@ theorem injective_pointReflection_left_of_module [Invertible (2 : k)] :
 #align affine_equiv.injective_point_reflection_left_of_module AffineEquiv.injective_pointReflection_left_of_module
 
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 Case conversion may be inaccurate. Consider using '#align affine_equiv.point_reflection_fixed_iff_of_module AffineEquiv.pointReflection_fixed_iff_of_moduleₓ'. -/
 theorem pointReflection_fixed_iff_of_module [Invertible (2 : k)] {x y : P₁} :
     pointReflection k x y = y ↔ y = x :=
@@ -1100,10 +965,7 @@ def toAffineEquiv (e : V₁ ≃ₗ[k] V₂) : V₁ ≃ᵃ[k] V₂
 -/
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_affine_equiv LinearEquiv.coe_toAffineEquivₓ'. -/
 @[simp]
 theorem coe_toAffineEquiv (e : V₁ ≃ₗ[k] V₂) : ⇑e.toAffineEquiv = e :=
@@ -1119,10 +981,7 @@ open AffineEquiv
 include V₁
 
 /- warning: affine_map.line_map_vadd -> AffineMap.lineMap_vadd is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align affine_map.line_map_vadd AffineMap.lineMap_vaddₓ'. -/
 theorem lineMap_vadd (v v' : V₁) (p : P₁) (c : k) :
     lineMap v v' c +ᵥ p = lineMap (v +ᵥ p) (v' +ᵥ p) c :=
@@ -1144,10 +1003,7 @@ theorem vsub_lineMap (p₁ p₂ p₃ : P₁) (c : k) :
 -/
 
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 Case conversion may be inaccurate. Consider using '#align affine_map.vadd_line_map AffineMap.vadd_lineMapₓ'. -/
 theorem vadd_lineMap (v : V₁) (p₁ p₂ : P₁) (c : k) :
     v +ᵥ lineMap p₁ p₂ c = lineMap (v +ᵥ p₁) (v +ᵥ p₂) c :=

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

@@ -81,7 +81,7 @@ def toAffineMap (e : P₁ ≃ᵃ[k] P₂) : P₁ →ᵃ[k] P₂ :=
 lean 3 declaration is
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 but is expected to have type
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V₂) v) ((fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) p) (AddCommGroup.toAddGroup.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : V₁) => V₂) v) _inst_5) _inst_7))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) V₁ (fun (_x : V₁) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : V₁) => V₂) _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k 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(Module.toDistribMulAction.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u3, u1} k V₂ (AddMonoid.toZero.{u1} V₂ (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5))) (DistribSMul.toSMulZeroClass.{u3, u1} k V₂ (AddMonoid.toAddZeroClass.{u1} V₂ (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5))) (DistribMulAction.toDistribSMul.{u3, u1} k V₂ (MonoidWithZero.toMonoid.{u3} k (Semiring.toMonoidWithZero.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)) (Module.toDistribMulAction.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_6)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) k V₁ V₂ (MonoidWithZero.toMonoid.{u3} k (Semiring.toMonoidWithZero.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (AddCommMonoid.toAddMonoid.{u2} V₁ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)) (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)) (Module.toDistribMulAction.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) _inst_3) (Module.toDistribMulAction.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_6) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} k k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} k k V₁ V₂ (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1))))))) f' v) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) f p))), Eq.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1)} (AffineMap.{u3, u2, u5, u1, u4} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineEquiv.toAffineMap.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (AffineEquiv.mk.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f f' h)) (AffineMap.mk.{u3, u2, u5, u1, u4} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) f) (LinearEquiv.toLinearMap.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 f') h)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.to_affine_map_mk AffineEquiv.toAffineMap_mkₓ'. -/
 @[simp]
 theorem toAffineMap_mk (f : P₁ ≃ P₂) (f' : V₁ ≃ₗ[k] V₂) (h) :
@@ -148,7 +148,7 @@ variable {k P₁}
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (p : P₁) (v : V₁), Eq.{succ u3} P₂ (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e (VAdd.vadd.{u4, u2} V₁ P₁ (AddAction.toHasVadd.{u4, u2} V₁ P₁ (SubNegMonoid.toAddMonoid.{u4} V₁ (AddGroup.toSubNegMonoid.{u4} V₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2))) (AddTorsor.toAddAction.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4)) v p)) (VAdd.vadd.{u5, u3} V₂ P₂ (AddAction.toHasVadd.{u5, u3} V₂ P₂ (SubNegMonoid.toAddMonoid.{u5} V₂ (AddGroup.toSubNegMonoid.{u5} V₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5))) (AddTorsor.toAddAction.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5) _inst_7)) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) => V₁ -> V₂) (LinearEquiv.hasCoeToFun.{u1, u1, u4, u5} k k V₁ V₂ (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.linear.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e) v) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e p))
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (p : P₁) (v : V₁), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) (HVAdd.hVAdd.{u2, u4, u4} V₁ P₁ P₁ (instHVAdd.{u2, u4} V₁ P₁ (AddAction.toVAdd.{u2, u4} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) 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(Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_6)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u5, u2, u1} (LinearEquiv.{u5, u5, u2, u1} k k (Ring.toSemiring.{u5} k _inst_1) (Ring.toSemiring.{u5} k _inst_1) (RingHom.id.{u5} k (Semiring.toNonAssocSemiring.{u5} k (Ring.toSemiring.{u5} k _inst_1))) (RingHom.id.{u5} k (Semiring.toNonAssocSemiring.{u5} k (Ring.toSemiring.{u5} k _inst_1))) (RingHomInvPair.ids.{u5} k (Ring.toSemiring.{u5} k _inst_1)) (RingHomInvPair.ids.{u5} k (Ring.toSemiring.{u5} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) k V₁ V₂ (MonoidWithZero.toMonoid.{u5} k (Semiring.toMonoidWithZero.{u5} k (Ring.toSemiring.{u5} k _inst_1))) (AddCommMonoid.toAddMonoid.{u2} V₁ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)) (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)) (Module.toDistribMulAction.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) _inst_3) (Module.toDistribMulAction.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_6) (SemilinearMapClass.distribMulActionHomClass.{u5, u2, u1, max u2 u1} k V₁ V₂ (LinearEquiv.{u5, u5, u2, u1} k k (Ring.toSemiring.{u5} k _inst_1) (Ring.toSemiring.{u5} k _inst_1) (RingHom.id.{u5} k (Semiring.toNonAssocSemiring.{u5} k (Ring.toSemiring.{u5} k _inst_1))) (RingHom.id.{u5} k (Semiring.toNonAssocSemiring.{u5} k (Ring.toSemiring.{u5} k _inst_1))) (RingHomInvPair.ids.{u5} k (Ring.toSemiring.{u5} k _inst_1)) (RingHomInvPair.ids.{u5} k (Ring.toSemiring.{u5} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (SemilinearEquivClass.instSemilinearMapClass.{u5, u5, u2, u1, max u2 u1} k k V₁ V₂ (LinearEquiv.{u5, u5, u2, u1} k k (Ring.toSemiring.{u5} k _inst_1) (Ring.toSemiring.{u5} k _inst_1) (RingHom.id.{u5} k (Semiring.toNonAssocSemiring.{u5} k (Ring.toSemiring.{u5} k _inst_1))) (RingHom.id.{u5} k (Semiring.toNonAssocSemiring.{u5} k (Ring.toSemiring.{u5} k _inst_1))) (RingHomInvPair.ids.{u5} k (Ring.toSemiring.{u5} k _inst_1)) (RingHomInvPair.ids.{u5} k (Ring.toSemiring.{u5} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u5} k _inst_1) (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u5} k (Semiring.toNonAssocSemiring.{u5} k (Ring.toSemiring.{u5} k _inst_1))) (RingHom.id.{u5} k (Semiring.toNonAssocSemiring.{u5} k (Ring.toSemiring.{u5} k _inst_1))) (RingHomInvPair.ids.{u5} k (Ring.toSemiring.{u5} k _inst_1)) (RingHomInvPair.ids.{u5} k (Ring.toSemiring.{u5} k _inst_1)) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u5, u5, u2, u1} k k V₁ V₂ (Ring.toSemiring.{u5} k _inst_1) (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u5} k (Semiring.toNonAssocSemiring.{u5} k (Ring.toSemiring.{u5} k _inst_1))) (RingHom.id.{u5} k (Semiring.toNonAssocSemiring.{u5} k (Ring.toSemiring.{u5} k _inst_1))) (RingHomInvPair.ids.{u5} k (Ring.toSemiring.{u5} k _inst_1)) (RingHomInvPair.ids.{u5} k (Ring.toSemiring.{u5} k _inst_1))))))) (AffineEquiv.linear.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e) v) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e p))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.map_vadd AffineEquiv.map_vaddₓ'. -/
 @[simp]
 theorem map_vadd (e : P₁ ≃ᵃ[k] P₂) (p : P₁) (v : V₁) : e (v +ᵥ p) = e.linear v +ᵥ e p :=
@@ -255,7 +255,7 @@ theorem toEquiv_inj {e e' : P₁ ≃ᵃ[k] P₂} : e.toEquiv = e'.toEquiv ↔ e
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : Equiv.{succ u2, succ u3} P₁ P₂) (e' : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (h : forall (p : P₁) (v : V₁), Eq.{succ u3} P₂ (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e (VAdd.vadd.{u4, u2} V₁ P₁ (AddAction.toHasVadd.{u4, u2} V₁ P₁ (SubNegMonoid.toAddMonoid.{u4} V₁ (AddGroup.toSubNegMonoid.{u4} V₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2))) (AddTorsor.toAddAction.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4)) v p)) (VAdd.vadd.{u5, u3} V₂ P₂ (AddAction.toHasVadd.{u5, u3} V₂ P₂ (SubNegMonoid.toAddMonoid.{u5} V₂ (AddGroup.toSubNegMonoid.{u5} V₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5))) (AddTorsor.toAddAction.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5) _inst_7)) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) => V₁ -> V₂) (LinearEquiv.hasCoeToFun.{u1, u1, u4, u5} k k V₁ V₂ (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1))) e' v) (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e p))), Eq.{max (succ u2) (succ u3)} ((fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.mk.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e e' h)) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineEquiv.mk.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e e' h)) (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e)
 but is expected to have type
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(Module.toDistribMulAction.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u3, u1} k V₂ (AddMonoid.toZero.{u1} V₂ (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5))) (DistribSMul.toSMulZeroClass.{u3, u1} k V₂ (AddMonoid.toAddZeroClass.{u1} V₂ (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5))) (DistribMulAction.toDistribSMul.{u3, u1} k V₂ (MonoidWithZero.toMonoid.{u3} k (Semiring.toMonoidWithZero.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)) (Module.toDistribMulAction.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_6)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k 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k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} k k V₁ V₂ (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1))))))) e' v) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e p))), Eq.{max (succ u5) (succ u4)} (forall (a : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) a) (FunLike.coe.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) (AffineEquiv.mk.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e e' h)) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_mk AffineEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (h) : ((⟨e, e', h⟩ : P₁ ≃ᵃ[k] P₂) : P₁ → P₂) = e :=
@@ -266,7 +266,7 @@ theorem coe_mk (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (h) : ((⟨e, e',
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : P₁ -> P₂) (e' : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_1.{u1} k _inst_1) (AffineEquiv.mk'._proof_2.{u1} k _inst_1) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (p : P₁), (forall (p' : P₁), Eq.{succ u3} P₂ (e p') (VAdd.vadd.{u5, u3} V₂ P₂ (AddAction.toHasVadd.{u5, u3} V₂ P₂ (SubNegMonoid.toAddMonoid.{u5} V₂ (AddGroup.toSubNegMonoid.{u5} V₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5))) (AddTorsor.toAddAction.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5) _inst_7)) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_3.{u1} k _inst_1) (AffineEquiv.mk'._proof_4.{u1} k _inst_1) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_3.{u1} k _inst_1) (AffineEquiv.mk'._proof_4.{u1} k _inst_1) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) => V₁ -> V₂) (LinearEquiv.hasCoeToFun.{u1, u1, u4, u5} k k V₁ V₂ (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_5.{u1} k _inst_1) (AffineEquiv.mk'._proof_6.{u1} k _inst_1)) e' (VSub.vsub.{u4, u2} V₁ P₁ (AddTorsor.toHasVsub.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4) p' p)) (e p))) -> (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7)
 but is expected to have type
-  forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : P₁ -> P₂) (e' : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ 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_inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u4, u5, max u4 u5} k k V₁ V₂ (LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u4, u5} k k V₁ V₂ (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1))))))) e' (VSub.vsub.{u4, u2} V₁ P₁ (AddTorsor.toVSub.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4) p' p)) (e p))) -> (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7)
+  forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : P₁ -> P₂) (e' : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (p : P₁), (forall (p' : P₁), Eq.{succ u3} P₂ (e p') (HVAdd.hVAdd.{u5, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : V₁) => V₂) (VSub.vsub.{u4, u2} V₁ P₁ (AddTorsor.toVSub.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4) p' p)) P₂ P₂ (instHVAdd.{u5, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : V₁) => V₂) (VSub.vsub.{u4, u2} V₁ P₁ (AddTorsor.toVSub.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4) p' p)) P₂ (AddAction.toVAdd.{u5, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : V₁) => V₂) (VSub.vsub.{u4, u2} V₁ P₁ (AddTorsor.toVSub.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4) p' p)) P₂ (SubNegMonoid.toAddMonoid.{u5} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : V₁) => V₂) (VSub.vsub.{u4, u2} V₁ P₁ (AddTorsor.toVSub.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4) p' p)) (AddGroup.toSubNegMonoid.{u5} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : V₁) => V₂) (VSub.vsub.{u4, u2} V₁ P₁ (AddTorsor.toVSub.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4) p' p)) (AddCommGroup.toAddGroup.{u5} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : V₁) => V₂) (VSub.vsub.{u4, u2} V₁ P₁ (AddTorsor.toVSub.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4) p' p)) _inst_5))) (AddTorsor.toAddAction.{u5, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : V₁) => V₂) (VSub.vsub.{u4, u2} V₁ P₁ (AddTorsor.toVSub.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4) p' p)) P₂ (AddCommGroup.toAddGroup.{u5} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : V₁) => V₂) (VSub.vsub.{u4, u2} V₁ P₁ (AddTorsor.toVSub.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4) p' p)) _inst_5) _inst_7))) (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) V₁ (fun (_x : V₁) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : V₁) => V₂) _x) (SMulHomClass.toFunLike.{max u4 u5, u1, u4, u5} (LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) k V₁ V₂ (SMulZeroClass.toSMul.{u1, u4} k V₁ (AddMonoid.toZero.{u4} V₁ (AddCommMonoid.toAddMonoid.{u4} V₁ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u4} k V₁ (AddMonoid.toAddZeroClass.{u4} V₁ (AddCommMonoid.toAddMonoid.{u4} V₁ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2))) (DistribMulAction.toDistribSMul.{u1, u4} k V₁ (MonoidWithZero.toMonoid.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AddCommMonoid.toAddMonoid.{u4} V₁ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)) (Module.toDistribMulAction.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u1, u5} k V₂ (AddMonoid.toZero.{u5} V₂ (AddCommMonoid.toAddMonoid.{u5} V₂ (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5))) (DistribSMul.toSMulZeroClass.{u1, u5} k V₂ (AddMonoid.toAddZeroClass.{u5} V₂ (AddCommMonoid.toAddMonoid.{u5} V₂ (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5))) (DistribMulAction.toDistribSMul.{u1, u5} k V₂ (MonoidWithZero.toMonoid.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AddCommMonoid.toAddMonoid.{u5} V₂ (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)) (Module.toDistribMulAction.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_6)))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u5, u1, u4, u5} (LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) k V₁ V₂ (MonoidWithZero.toMonoid.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AddCommMonoid.toAddMonoid.{u4} V₁ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)) (AddCommMonoid.toAddMonoid.{u5} V₂ (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)) (Module.toDistribMulAction.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) _inst_3) (Module.toDistribMulAction.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_6) (SemilinearMapClass.distribMulActionHomClass.{u1, u4, u5, max u4 u5} k V₁ V₂ (LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u4, u5, max u4 u5} k k V₁ V₂ (LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u4, u5} k k V₁ V₂ (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1))))))) e' (VSub.vsub.{u4, u2} V₁ P₁ (AddTorsor.toVSub.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4) p' p)) (e p))) -> (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.mk' AffineEquiv.mk'ₓ'. -/
 /-- Construct an affine equivalence by verifying the relation between the map and its linear part at
 one base point. Namely, this function takes a map `e : P₁ → P₂`, a linear equivalence
@@ -286,7 +286,7 @@ def mk' (e : P₁ → P₂) (e' : V₁ ≃ₗ[k] V₂) (p : P₁) (h : ∀ p' :
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : Equiv.{succ u2, succ u3} P₁ P₂) (e' : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (p : P₁) (h : forall (p' : P₁), Eq.{succ u3} P₂ (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e p') (VAdd.vadd.{u5, u3} V₂ P₂ (AddAction.toHasVadd.{u5, u3} V₂ P₂ (SubNegMonoid.toAddMonoid.{u5} V₂ (AddGroup.toSubNegMonoid.{u5} V₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5))) (AddTorsor.toAddAction.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5) _inst_7)) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_3.{u1} k _inst_1) (AffineEquiv.mk'._proof_4.{u1} k _inst_1) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_3.{u1} k _inst_1) (AffineEquiv.mk'._proof_4.{u1} k _inst_1) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) => V₁ -> V₂) (LinearEquiv.hasCoeToFun.{u1, u1, u4, u5} k k V₁ V₂ (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_5.{u1} k _inst_1) (AffineEquiv.mk'._proof_6.{u1} k _inst_1)) e' (VSub.vsub.{u4, u2} V₁ P₁ (AddTorsor.toHasVsub.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4) p' p)) (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e p))), Eq.{max (succ u2) (succ u3)} (P₁ -> P₂) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineEquiv.mk'.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e) e' p h)) (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e)
 but is expected to have type
-  forall {k : Type.{u3}} {P₁ : Type.{u5}} {P₂ : Type.{u4}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u4} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : Equiv.{succ u5, succ u4} P₁ P₂) (e' : LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (p : P₁) (h : forall (p' : P₁), Eq.{succ u4} P₂ (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e p') (HVAdd.hVAdd.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) (VSub.vsub.{u2, u5} V₁ P₁ (AddTorsor.toVSub.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4) p' p)) P₂ P₂ (instHVAdd.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) (VSub.vsub.{u2, u5} V₁ P₁ (AddTorsor.toVSub.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4) p' p)) P₂ (AddAction.toVAdd.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) (VSub.vsub.{u2, u5} V₁ P₁ (AddTorsor.toVSub.{u2, u5} V₁ P₁ 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+  forall {k : Type.{u3}} {P₁ : Type.{u5}} {P₂ : Type.{u4}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u4} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : Equiv.{succ u5, succ u4} P₁ P₂) (e' : LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} 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_inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1))))))) e' (VSub.vsub.{u2, u5} V₁ P₁ (AddTorsor.toVSub.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4) p' p)) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e p))), Eq.{max (succ u5) (succ u4)} (forall (ᾰ : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) ᾰ) (FunLike.coe.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) (AffineEquiv.mk'.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e) e' p h)) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_mk' AffineEquiv.coe_mk'ₓ'. -/
 @[simp]
 theorem coe_mk' (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (p h) : ⇑(mk' e e' p h) = e :=
@@ -297,7 +297,7 @@ theorem coe_mk' (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (p h) : ⇑(mk' e
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : Equiv.{succ u2, succ u3} P₁ P₂) (e' : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (p : P₁) (h : forall (p' : P₁), Eq.{succ u3} P₂ (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e p') (VAdd.vadd.{u5, u3} V₂ P₂ (AddAction.toHasVadd.{u5, u3} V₂ P₂ (SubNegMonoid.toAddMonoid.{u5} V₂ (AddGroup.toSubNegMonoid.{u5} V₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5))) (AddTorsor.toAddAction.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5) _inst_7)) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_3.{u1} k _inst_1) (AffineEquiv.mk'._proof_4.{u1} k _inst_1) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_3.{u1} k _inst_1) (AffineEquiv.mk'._proof_4.{u1} k _inst_1) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) => V₁ -> V₂) (LinearEquiv.hasCoeToFun.{u1, u1, u4, u5} k k V₁ V₂ (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_5.{u1} k _inst_1) (AffineEquiv.mk'._proof_6.{u1} k _inst_1)) e' (VSub.vsub.{u4, u2} V₁ P₁ (AddTorsor.toHasVsub.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4) p' p)) (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e p))), Eq.{max (succ u4) (succ u5)} (LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (AffineEquiv.linear.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (AffineEquiv.mk'.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e) e' p h)) e'
 but is expected to have type
-  forall {k : Type.{u3}} {P₁ : Type.{u5}} {P₂ : Type.{u4}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u4} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : Equiv.{succ u5, succ u4} P₁ P₂) (e' : LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} 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_inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1))))))) e' (VSub.vsub.{u2, u5} V₁ P₁ (AddTorsor.toVSub.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4) p' p)) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e p))), Eq.{max (succ u2) (succ u1)} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} 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+  forall {k : Type.{u3}} {P₁ : Type.{u5}} {P₂ : Type.{u4}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u4} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : Equiv.{succ u5, succ u4} P₁ P₂) (e' : LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} 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k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} k k V₁ V₂ (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1))))))) e' (VSub.vsub.{u2, u5} V₁ P₁ (AddTorsor.toVSub.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4) p' p)) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e p))), Eq.{max (succ u2) (succ u1)} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (AffineEquiv.linear.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (AffineEquiv.mk'.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e) e' p h)) e'
 Case conversion may be inaccurate. Consider using '#align affine_equiv.linear_mk' AffineEquiv.linear_mk'ₓ'. -/
 @[simp]
 theorem linear_mk' (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (p h) : (mk' e e' p h).linear = e' :=
@@ -1103,7 +1103,7 @@ def toAffineEquiv (e : V₁ ≃ₗ[k] V₂) : V₁ ≃ᵃ[k] V₂
 lean 3 declaration is
   forall {k : Type.{u1}} {V₁ : Type.{u2}} {V₂ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u3} V₂] [_inst_6 : Module.{u1, u3} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_5)] (e : LinearEquiv.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_5) _inst_3 _inst_6), Eq.{max (succ u2) (succ u3)} (V₁ -> V₂) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u2, u3} k V₁ V₂ V₁ V₂ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_5 _inst_6 (addGroupIsAddTorsor.{u3} V₂ (AddCommGroup.toAddGroup.{u3} V₂ _inst_5))) (fun (_x : AffineEquiv.{u1, u2, u3, u2, u3} k V₁ V₂ V₁ V₂ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_5 _inst_6 (addGroupIsAddTorsor.{u3} V₂ (AddCommGroup.toAddGroup.{u3} V₂ _inst_5))) => V₁ -> V₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u2, u3} k V₁ V₂ V₁ V₂ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_5 _inst_6 (addGroupIsAddTorsor.{u3} V₂ (AddCommGroup.toAddGroup.{u3} V₂ _inst_5))) (LinearEquiv.toAffineEquiv.{u1, u2, u3} k V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 e)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearEquiv.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearEquiv.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_5) _inst_3 _inst_6) => V₁ -> V₂) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u3} k k V₁ V₂ (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1))) e)
 but is expected to have type
-  forall {k : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] (e : LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6), Eq.{max (succ u2) (succ u1)} (forall (ᾰ : V₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : V₁) => V₂) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AffineEquiv.{u3, u2, u1, u2, u1} k V₁ V₂ V₁ V₂ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_5 _inst_6 (addGroupIsAddTorsor.{u1} V₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5))) V₁ (fun (_x : V₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : V₁) => V₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (AffineEquiv.{u3, u2, u1, u2, u1} k V₁ V₂ V₁ V₂ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_5 _inst_6 (addGroupIsAddTorsor.{u1} V₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5))) V₁ V₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u1} (AffineEquiv.{u3, u2, u1, u2, u1} k V₁ V₂ V₁ V₂ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_5 _inst_6 (addGroupIsAddTorsor.{u1} V₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5))) V₁ V₂ (AffineEquiv.equivLike.{u3, u2, u1, u2, u1} k V₁ V₂ V₁ V₂ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_5 _inst_6 (addGroupIsAddTorsor.{u1} V₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5))))) (LinearEquiv.toAffineEquiv.{u3, u2, u1} k V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 e)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) V₁ (fun (_x : V₁) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) k V₁ V₂ (SMulZeroClass.toSMul.{u3, u2} k V₁ (AddMonoid.toZero.{u2} V₁ (AddCommMonoid.toAddMonoid.{u2} V₁ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2))) (DistribSMul.toSMulZeroClass.{u3, u2} k V₁ (AddMonoid.toAddZeroClass.{u2} V₁ (AddCommMonoid.toAddMonoid.{u2} V₁ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2))) (DistribMulAction.toDistribSMul.{u3, u2} k V₁ (MonoidWithZero.toMonoid.{u3} k (Semiring.toMonoidWithZero.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (AddCommMonoid.toAddMonoid.{u2} V₁ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)) (Module.toDistribMulAction.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u3, u1} k V₂ (AddMonoid.toZero.{u1} V₂ (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5))) (DistribSMul.toSMulZeroClass.{u3, u1} k V₂ (AddMonoid.toAddZeroClass.{u1} V₂ (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5))) (DistribMulAction.toDistribSMul.{u3, u1} k V₂ (MonoidWithZero.toMonoid.{u3} k (Semiring.toMonoidWithZero.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)) (Module.toDistribMulAction.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_6)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) k V₁ V₂ (MonoidWithZero.toMonoid.{u3} k (Semiring.toMonoidWithZero.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (AddCommMonoid.toAddMonoid.{u2} V₁ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)) (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)) (Module.toDistribMulAction.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) _inst_3) (Module.toDistribMulAction.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_6) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} k k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} k k V₁ V₂ (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1))))))) e)
+  forall {k : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] (e : LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6), Eq.{max (succ u2) (succ u1)} (forall (ᾰ : V₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : V₁) => V₂) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AffineEquiv.{u3, u2, u1, u2, u1} k V₁ V₂ V₁ V₂ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_5 _inst_6 (addGroupIsAddTorsor.{u1} V₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5))) V₁ (fun (_x : V₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : V₁) => V₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (AffineEquiv.{u3, u2, u1, u2, u1} k V₁ V₂ V₁ V₂ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_5 _inst_6 (addGroupIsAddTorsor.{u1} V₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5))) V₁ V₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u1} (AffineEquiv.{u3, u2, u1, u2, u1} k V₁ V₂ V₁ V₂ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_5 _inst_6 (addGroupIsAddTorsor.{u1} V₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5))) V₁ V₂ (AffineEquiv.equivLike.{u3, u2, u1, u2, u1} k V₁ V₂ V₁ V₂ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_5 _inst_6 (addGroupIsAddTorsor.{u1} V₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5))))) (LinearEquiv.toAffineEquiv.{u3, u2, u1} k V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 e)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) V₁ (fun (_x : V₁) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : V₁) => V₂) _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) k V₁ V₂ (SMulZeroClass.toSMul.{u3, u2} k V₁ (AddMonoid.toZero.{u2} V₁ (AddCommMonoid.toAddMonoid.{u2} V₁ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2))) (DistribSMul.toSMulZeroClass.{u3, u2} k V₁ (AddMonoid.toAddZeroClass.{u2} V₁ (AddCommMonoid.toAddMonoid.{u2} V₁ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2))) (DistribMulAction.toDistribSMul.{u3, u2} k V₁ (MonoidWithZero.toMonoid.{u3} k (Semiring.toMonoidWithZero.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (AddCommMonoid.toAddMonoid.{u2} V₁ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)) (Module.toDistribMulAction.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u3, u1} k V₂ (AddMonoid.toZero.{u1} V₂ (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5))) (DistribSMul.toSMulZeroClass.{u3, u1} k V₂ (AddMonoid.toAddZeroClass.{u1} V₂ (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5))) (DistribMulAction.toDistribSMul.{u3, u1} k V₂ (MonoidWithZero.toMonoid.{u3} k (Semiring.toMonoidWithZero.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)) (Module.toDistribMulAction.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_6)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) k V₁ V₂ (MonoidWithZero.toMonoid.{u3} k (Semiring.toMonoidWithZero.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (AddCommMonoid.toAddMonoid.{u2} V₁ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)) (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)) (Module.toDistribMulAction.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) _inst_3) (Module.toDistribMulAction.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_6) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} k k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} k k V₁ V₂ (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1))))))) e)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_affine_equiv LinearEquiv.coe_toAffineEquivₓ'. -/
 @[simp]
 theorem coe_toAffineEquiv (e : V₁ ≃ₗ[k] V₂) : ⇑e.toAffineEquiv = e :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

@@ -81,7 +81,7 @@ def toAffineMap (e : P₁ ≃ᵃ[k] P₂) : P₁ →ᵃ[k] P₂ :=
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (f : Equiv.{succ u2, succ u3} P₁ P₂) (f' : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (h : forall (p : P₁) (v : V₁), Eq.{succ u3} P₂ (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) f (VAdd.vadd.{u4, u2} V₁ P₁ (AddAction.toHasVadd.{u4, u2} V₁ P₁ (SubNegMonoid.toAddMonoid.{u4} V₁ (AddGroup.toSubNegMonoid.{u4} V₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2))) (AddTorsor.toAddAction.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4)) v p)) (VAdd.vadd.{u5, u3} V₂ P₂ (AddAction.toHasVadd.{u5, u3} V₂ P₂ (SubNegMonoid.toAddMonoid.{u5} V₂ (AddGroup.toSubNegMonoid.{u5} V₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5))) (AddTorsor.toAddAction.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5) _inst_7)) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} 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 but is expected to have type
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k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} k k V₁ V₂ (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1))))))) f' v) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) f p))), Eq.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1)} (AffineMap.{u3, u2, u5, u1, u4} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineEquiv.toAffineMap.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (AffineEquiv.mk.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f f' h)) (AffineMap.mk.{u3, u2, u5, u1, u4} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) f) (LinearEquiv.toLinearMap.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 f') h)
+  forall {k : Type.{u3}} {P₁ : Type.{u5}} {P₂ : Type.{u4}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u4} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (f : Equiv.{succ u5, succ u4} P₁ P₂) (f' : LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (h : forall (p : P₁) (v : V₁), Eq.{succ u4} ((fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) (HVAdd.hVAdd.{u2, u5, u5} V₁ P₁ P₁ (instHVAdd.{u2, u5} V₁ P₁ (AddAction.toVAdd.{u2, u5} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v p)) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) f (HVAdd.hVAdd.{u2, u5, u5} V₁ P₁ P₁ (instHVAdd.{u2, u5} V₁ P₁ (AddAction.toVAdd.{u2, u5} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v p)) (HVAdd.hVAdd.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) v) ((fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) p) ((fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) p) (instHVAdd.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) v) ((fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) p) (AddAction.toVAdd.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) v) ((fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) p) (SubNegMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) v) (AddGroup.toSubNegMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) v) (AddCommGroup.toAddGroup.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) v) _inst_5))) (AddTorsor.toAddAction.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) v) ((fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) p) (AddCommGroup.toAddGroup.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) v) _inst_5) _inst_7))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) V₁ (fun (_x : V₁) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) k V₁ V₂ (SMulZeroClass.toSMul.{u3, u2} k V₁ (AddMonoid.toZero.{u2} V₁ (AddCommMonoid.toAddMonoid.{u2} V₁ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2))) (DistribSMul.toSMulZeroClass.{u3, u2} k V₁ (AddMonoid.toAddZeroClass.{u2} V₁ (AddCommMonoid.toAddMonoid.{u2} V₁ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2))) (DistribMulAction.toDistribSMul.{u3, u2} k V₁ (MonoidWithZero.toMonoid.{u3} k (Semiring.toMonoidWithZero.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (AddCommMonoid.toAddMonoid.{u2} V₁ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)) (Module.toDistribMulAction.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u3, u1} k V₂ (AddMonoid.toZero.{u1} V₂ (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5))) (DistribSMul.toSMulZeroClass.{u3, u1} k V₂ (AddMonoid.toAddZeroClass.{u1} V₂ (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5))) (DistribMulAction.toDistribSMul.{u3, u1} k V₂ (MonoidWithZero.toMonoid.{u3} k (Semiring.toMonoidWithZero.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)) (Module.toDistribMulAction.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_6)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) k V₁ V₂ (MonoidWithZero.toMonoid.{u3} k (Semiring.toMonoidWithZero.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (AddCommMonoid.toAddMonoid.{u2} V₁ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)) (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)) (Module.toDistribMulAction.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) _inst_3) (Module.toDistribMulAction.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_6) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} k k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} k k V₁ V₂ (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1))))))) f' v) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) f p))), Eq.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1)} (AffineMap.{u3, u2, u5, u1, u4} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineEquiv.toAffineMap.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (AffineEquiv.mk.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f f' h)) (AffineMap.mk.{u3, u2, u5, u1, u4} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) f) (LinearEquiv.toLinearMap.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 f') h)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.to_affine_map_mk AffineEquiv.toAffineMap_mkₓ'. -/
 @[simp]
 theorem toAffineMap_mk (f : P₁ ≃ P₂) (f' : V₁ ≃ₗ[k] V₂) (h) :
@@ -159,7 +159,7 @@ theorem map_vadd (e : P₁ ≃ᵃ[k] P₂) (p : P₁) (v : V₁) : e (v +ᵥ p)
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Eq.{max (succ u2) (succ u3)} (P₁ -> P₂) (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) (AffineEquiv.toEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e)) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e)
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : P₁), (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : P₁) => P₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (Equiv.{succ u4, succ u3} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u4, succ u3} P₁ P₂) (AffineEquiv.toEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e)) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e)
+  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : P₁), (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (Equiv.{succ u4, succ u3} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u4, succ u3} P₁ P₂) (AffineEquiv.toEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e)) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_to_equiv AffineEquiv.coe_toEquivₓ'. -/
 @[simp]
 theorem coe_toEquiv (e : P₁ ≃ᵃ[k] P₂) : ⇑e.toEquiv = e :=
@@ -255,7 +255,7 @@ theorem toEquiv_inj {e e' : P₁ ≃ᵃ[k] P₂} : e.toEquiv = e'.toEquiv ↔ e
 lean 3 declaration is
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 but is expected to have type
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u1} k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} k k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} k k V₁ V₂ (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1))))))) e' v) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e p))), Eq.{max (succ u5) (succ u4)} (forall (a : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) a) (FunLike.coe.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) (AffineEquiv.mk.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e e' h)) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_mk AffineEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (h) : ((⟨e, e', h⟩ : P₁ ≃ᵃ[k] P₂) : P₁ → P₂) = e :=
@@ -286,7 +286,7 @@ def mk' (e : P₁ → P₂) (e' : V₁ ≃ₗ[k] V₂) (p : P₁) (h : ∀ p' :
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : Equiv.{succ u2, succ u3} P₁ P₂) (e' : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (p : P₁) (h : forall (p' : P₁), Eq.{succ u3} P₂ (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e p') (VAdd.vadd.{u5, u3} V₂ P₂ (AddAction.toHasVadd.{u5, u3} V₂ P₂ (SubNegMonoid.toAddMonoid.{u5} V₂ (AddGroup.toSubNegMonoid.{u5} V₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5))) (AddTorsor.toAddAction.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5) _inst_7)) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_3.{u1} k _inst_1) (AffineEquiv.mk'._proof_4.{u1} k _inst_1) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_3.{u1} k _inst_1) (AffineEquiv.mk'._proof_4.{u1} k _inst_1) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) => V₁ -> V₂) (LinearEquiv.hasCoeToFun.{u1, u1, u4, u5} k k V₁ V₂ (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_5.{u1} k _inst_1) (AffineEquiv.mk'._proof_6.{u1} k _inst_1)) e' (VSub.vsub.{u4, u2} V₁ P₁ (AddTorsor.toHasVsub.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4) p' p)) (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e p))), Eq.{max (succ u2) (succ u3)} (P₁ -> P₂) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineEquiv.mk'.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e) e' p h)) (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e)
 but is expected to have type
-  forall {k : Type.{u3}} {P₁ : Type.{u5}} {P₂ : Type.{u4}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u4} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : Equiv.{succ u5, succ u4} P₁ P₂) (e' : LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (p : P₁) (h : forall (p' : P₁), Eq.{succ u4} P₂ (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e p') (HVAdd.hVAdd.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) (VSub.vsub.{u2, u5} V₁ P₁ (AddTorsor.toVSub.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4) p' p)) P₂ P₂ (instHVAdd.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) (VSub.vsub.{u2, u5} V₁ P₁ (AddTorsor.toVSub.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4) p' p)) P₂ (AddAction.toVAdd.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) (VSub.vsub.{u2, u5} V₁ P₁ (AddTorsor.toVSub.{u2, u5} V₁ P₁ 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k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} k k V₁ V₂ (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1))))))) e' (VSub.vsub.{u2, u5} V₁ P₁ (AddTorsor.toVSub.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4) p' p)) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e p))), Eq.{max (succ u5) (succ u4)} (forall (ᾰ : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) ᾰ) (FunLike.coe.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) (AffineEquiv.mk'.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e) e' p h)) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_mk' AffineEquiv.coe_mk'ₓ'. -/
 @[simp]
 theorem coe_mk' (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (p h) : ⇑(mk' e e' p h) = e :=
@@ -297,7 +297,7 @@ theorem coe_mk' (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (p h) : ⇑(mk' e
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : Equiv.{succ u2, succ u3} P₁ P₂) (e' : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (p : P₁) (h : forall (p' : P₁), Eq.{succ u3} P₂ (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e p') (VAdd.vadd.{u5, u3} V₂ P₂ (AddAction.toHasVadd.{u5, u3} V₂ P₂ (SubNegMonoid.toAddMonoid.{u5} V₂ (AddGroup.toSubNegMonoid.{u5} V₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5))) (AddTorsor.toAddAction.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5) _inst_7)) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_3.{u1} k _inst_1) (AffineEquiv.mk'._proof_4.{u1} k _inst_1) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_3.{u1} k _inst_1) (AffineEquiv.mk'._proof_4.{u1} k _inst_1) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) => V₁ -> V₂) (LinearEquiv.hasCoeToFun.{u1, u1, u4, u5} k k V₁ V₂ (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_5.{u1} k _inst_1) (AffineEquiv.mk'._proof_6.{u1} k _inst_1)) e' (VSub.vsub.{u4, u2} V₁ P₁ (AddTorsor.toHasVsub.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4) p' p)) (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e p))), Eq.{max (succ u4) (succ u5)} (LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (AffineEquiv.linear.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (AffineEquiv.mk'.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e) e' p h)) e'
 but is expected to have type
-  forall {k : Type.{u3}} {P₁ : Type.{u5}} {P₂ : Type.{u4}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u4} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : Equiv.{succ u5, succ u4} P₁ P₂) (e' : LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} 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+  forall {k : Type.{u3}} {P₁ : Type.{u5}} {P₂ : Type.{u4}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u4} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : Equiv.{succ u5, succ u4} P₁ P₂) (e' : LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} 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(Module.toDistribMulAction.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u3, u1} k V₂ (AddMonoid.toZero.{u1} V₂ (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5))) (DistribSMul.toSMulZeroClass.{u3, u1} k V₂ (AddMonoid.toAddZeroClass.{u1} V₂ (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5))) (DistribMulAction.toDistribSMul.{u3, u1} k V₂ (MonoidWithZero.toMonoid.{u3} k (Semiring.toMonoidWithZero.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)) (Module.toDistribMulAction.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_6)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) k V₁ V₂ (MonoidWithZero.toMonoid.{u3} k (Semiring.toMonoidWithZero.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (AddCommMonoid.toAddMonoid.{u2} V₁ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)) (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)) (Module.toDistribMulAction.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) _inst_3) (Module.toDistribMulAction.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_6) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} k k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} k k V₁ V₂ (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1))))))) e' (VSub.vsub.{u2, u5} V₁ P₁ (AddTorsor.toVSub.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4) p' p)) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e p))), Eq.{max (succ u2) (succ u1)} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (AffineEquiv.linear.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (AffineEquiv.mk'.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e) e' p h)) e'
 Case conversion may be inaccurate. Consider using '#align affine_equiv.linear_mk' AffineEquiv.linear_mk'ₓ'. -/
 @[simp]
 theorem linear_mk' (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (p h) : (mk' e e' p h).linear = e' :=
@@ -937,7 +937,7 @@ def homothetyUnitsMulHom (p : P) : Rˣ →* P ≃ᵃ[R] P :=
 lean 3 declaration is
   forall {R : Type.{u1}} {V : Type.{u2}} {P : Type.{u3}} [_inst_14 : CommRing.{u1} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u1, u2} R V (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u3} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)] (p : P) (t : Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))), Eq.{succ u3} ((fun (_x : AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (coeFn.{max (succ (max u3 u2)) (succ u1), max (succ u1) (succ (max u3 u2))} (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (fun (_x : MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t)) (coeFn.{max (succ u3) (succ u2), succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (fun (_x : AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineEquiv.hasCoeToFun.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (coeFn.{max (succ (max u3 u2)) (succ u1), max (succ u1) (succ (max u3 u2))} (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (fun (_x : MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t)) (coeFn.{max (succ u2) (succ u3), succ u3} (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (fun (_x : AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineMap.hasCoeToFun.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_17 _inst_16 p ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (HasLiftT.mk.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (CoeTCₓ.coe.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (coeBase.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (Units.hasCoe.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14)))))) t)))
 but is expected to have type
-  forall {R : Type.{u3}} {V : Type.{u1}} {P : Type.{u2}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u1} V] [_inst_16 : Module.{u3, u1} R V (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_15)] [_inst_17 : AddTorsor.{u1, u2} V P (AddCommGroup.toAddGroup.{u1} V _inst_15)] (p : P) (t : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))), Eq.{succ u2} (forall (a : P), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P) => P) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P) => P) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17))) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u3, max (succ u1) (succ u2)} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (fun (_x : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) => AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) _x) (MulHomClass.toFunLike.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulOneClass.toMul.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))))) (MulOneClass.toMul.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (MonoidHomClass.toMulHomClass.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17)))) (MonoidHom.monoidHomClass.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))))) (AffineEquiv.homothetyUnitsMulHom.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u2} (AffineMap.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P) => P) _x) (AffineMap.funLike.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_17 _inst_16 p (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))) t)))
+  forall {R : Type.{u3}} {V : Type.{u1}} {P : Type.{u2}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u1} V] [_inst_16 : Module.{u3, u1} R V (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_15)] [_inst_17 : AddTorsor.{u1, u2} V P (AddCommGroup.toAddGroup.{u1} V _inst_15)] (p : P) (t : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))), Eq.{succ u2} (forall (a : P), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P) => P) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P) => P) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17))) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u3, max (succ u1) (succ u2)} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (fun (_x : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) => AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) _x) (MulHomClass.toFunLike.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulOneClass.toMul.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))))) (MulOneClass.toMul.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (MonoidHomClass.toMulHomClass.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17)))) (MonoidHom.monoidHomClass.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))))) (AffineEquiv.homothetyUnitsMulHom.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u2} (AffineMap.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P) => P) _x) (AffineMap.funLike.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_17 _inst_16 p (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))) t)))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_homothety_units_mul_hom_apply AffineEquiv.coe_homothetyUnitsMulHom_applyₓ'. -/
 @[simp]
 theorem coe_homothetyUnitsMulHom_apply (p : P) (t : Rˣ) :
@@ -949,7 +949,7 @@ theorem coe_homothetyUnitsMulHom_apply (p : P) (t : Rˣ) :
 lean 3 declaration is
   forall {R : Type.{u1}} {V : Type.{u2}} {P : Type.{u3}} [_inst_14 : CommRing.{u1} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u1, u2} R V (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u3} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)] (p : P) (t : Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))), Eq.{succ u3} ((fun (_x : AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineEquiv.symm.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17 (coeFn.{max (succ (max u3 u2)) (succ u1), max (succ u1) (succ (max u3 u2))} (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (fun (_x : MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t))) (coeFn.{max (succ u3) (succ u2), succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (fun (_x : AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineEquiv.hasCoeToFun.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.symm.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17 (coeFn.{max (succ (max u3 u2)) (succ u1), max (succ u1) (succ (max u3 u2))} (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (fun (_x : MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t))) (coeFn.{max (succ u2) (succ u3), succ u3} (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (fun (_x : AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineMap.hasCoeToFun.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_17 _inst_16 p ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (HasLiftT.mk.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (CoeTCₓ.coe.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (coeBase.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (Units.hasCoe.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14)))))) (Inv.inv.{u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Units.hasInv.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) t))))
 but is expected to have type
-  forall {R : Type.{u3}} {V : Type.{u1}} {P : Type.{u2}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u1} V] [_inst_16 : Module.{u3, u1} R V (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_15)] [_inst_17 : AddTorsor.{u1, u2} V P (AddCommGroup.toAddGroup.{u1} V _inst_15)] (p : P) (t : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))), Eq.{succ u2} (forall (a : P), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P) => P) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P) => P) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17))) (AffineEquiv.symm.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17 (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u3, max (succ u1) (succ u2)} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (fun (_x : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) => AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) _x) (MulHomClass.toFunLike.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulOneClass.toMul.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))))) (MulOneClass.toMul.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (MonoidHomClass.toMulHomClass.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17)))) (MonoidHom.monoidHomClass.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))))) (AffineEquiv.homothetyUnitsMulHom.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u2} (AffineMap.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P) => P) _x) (AffineMap.funLike.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_17 _inst_16 p (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))) (Inv.inv.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Units.instInv.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) t))))
+  forall {R : Type.{u3}} {V : Type.{u1}} {P : Type.{u2}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u1} V] [_inst_16 : Module.{u3, u1} R V (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_15)] [_inst_17 : AddTorsor.{u1, u2} V P (AddCommGroup.toAddGroup.{u1} V _inst_15)] (p : P) (t : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))), Eq.{succ u2} (forall (a : P), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P) => P) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P) => P) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} 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_inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (fun (_x : 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_inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))))) (AffineEquiv.homothetyUnitsMulHom.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u2} (AffineMap.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P) => P) _x) (AffineMap.funLike.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_17 _inst_16 p (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))) (Inv.inv.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Units.instInv.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) t))))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_homothety_units_mul_hom_apply_symm AffineEquiv.coe_homothetyUnitsMulHom_apply_symmₓ'. -/
 @[simp]
 theorem coe_homothetyUnitsMulHom_apply_symm (p : P) (t : Rˣ) :
@@ -961,7 +961,7 @@ theorem coe_homothetyUnitsMulHom_apply_symm (p : P) (t : Rˣ) :
 lean 3 declaration is
   forall {R : Type.{u1}} {V : Type.{u2}} {P : Type.{u3}} [_inst_14 : CommRing.{u1} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u1, u2} R V (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u3} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)] (p : P), Eq.{max (succ u1) (succ u2) (succ u3)} ((Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (Function.comp.{succ u1, max (succ u3) (succ u2), max (succ u2) (succ u3)} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) ((fun (a : Sort.{max (succ u3) (succ u2)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u3) (succ u2), max (succ u2) (succ u3)} a b] => self.0) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (HasLiftT.mk.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (CoeTCₓ.coe.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.{u1, u2, u3, u2, u3} R V P 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_inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p))) (Function.comp.{succ u1, succ u1, max (succ u2) (succ u3)} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (coeFn.{max (succ (max u2 u3)) (succ u1), max (succ u1) (succ (max u2 u3))} (MonoidHom.{u1, max u2 u3} R (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u3} (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.monoid.{u1, u2, u3} R V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))) (fun (_x : MonoidHom.{u1, max u2 u3} R (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u3} (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.monoid.{u1, u2, u3} R V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))) => R -> (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u2 u3} R (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u3} (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.monoid.{u1, u2, u3} R V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))) (AffineMap.homothetyHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_17 _inst_16 p)) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (HasLiftT.mk.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (CoeTCₓ.coe.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (coeBase.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (Units.hasCoe.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))))))))
 but is expected to have type
-  forall {R : Type.{u3}} {V : Type.{u2}} {P : Type.{u1}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u3, u2} R V (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u1} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)] (p : P), Eq.{max (max (succ u3) (succ u2)) (succ u1)} ((Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) -> (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (Function.comp.{succ u3, max (succ u2) (succ u1), max (succ u2) (succ u1)} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u1, u1, u2, u2} R P P V V (CommRing.toRing.{u3} 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(Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u1, u1, u2, u2} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u1} (AffineEquiv.{u3, u1, u1, u2, u2} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u2 u1} (AffineEquiv.{u3, u1, u1, u2, u2} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u2 u1} (AffineEquiv.{u3, u1, u1, u2, u2} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u1, 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(AffineMap.instMonoidAffineMap.{u3, u2, u1} R V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineMap.homothetyHom.{u3, u2, u1} R V P _inst_14 _inst_15 _inst_17 _inst_16 p)) (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))))
+  forall {R : Type.{u3}} {V : Type.{u2}} {P : Type.{u1}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u3, u2} R V (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u1} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)] (p : P), Eq.{max (max (succ u3) (succ u2)) (succ u1)} ((Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) -> (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (Function.comp.{succ u3, max (succ u2) (succ u1), max (succ u2) (succ u1)} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u1, u1, u2, u2} R P P V V (CommRing.toRing.{u3} 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(CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u1, u2} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))))) (AffineEquiv.homothetyUnitsMulHom.{u3, u2, u1} R V P _inst_14 _inst_15 _inst_16 _inst_17 p))) (Function.comp.{succ u3, succ u3, max (succ u2) (succ u1)} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) R (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u3, max (succ u2) (succ u1)} (MonoidHom.{u3, max u1 u2} R (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u3} R (NonAssocSemiring.toMulZeroOneClass.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u1} (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.instMonoidAffineMap.{u3, u2, u1} R V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) _x) (MulHomClass.toFunLike.{max (max u2 u1) u3, u3, max u2 u1} (MonoidHom.{u3, max u1 u2} R (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u3} R (NonAssocSemiring.toMulZeroOneClass.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u1} (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.instMonoidAffineMap.{u3, u2, u1} R V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))) R (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulOneClass.toMul.{u3} R (MulZeroOneClass.toMulOneClass.{u3} R (NonAssocSemiring.toMulZeroOneClass.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))))) (MulOneClass.toMul.{max u2 u1} (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Monoid.toMulOneClass.{max u2 u1} (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.instMonoidAffineMap.{u3, u2, u1} R V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))) (MonoidHomClass.toMulHomClass.{max (max u2 u1) u3, u3, max u2 u1} (MonoidHom.{u3, max u1 u2} R (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u3} R (NonAssocSemiring.toMulZeroOneClass.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u1} (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.instMonoidAffineMap.{u3, u2, u1} R V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))) R (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u3} R (NonAssocSemiring.toMulZeroOneClass.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u1} (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.instMonoidAffineMap.{u3, u2, u1} R V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17)) (MonoidHom.monoidHomClass.{u3, max u2 u1} R (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u3} R (NonAssocSemiring.toMulZeroOneClass.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u1} (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.instMonoidAffineMap.{u3, u2, u1} R V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineMap.homothetyHom.{u3, u2, u1} R V P _inst_14 _inst_15 _inst_17 _inst_16 p)) (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_homothety_units_mul_hom_eq_homothety_hom_coe AffineEquiv.coe_homothetyUnitsMulHom_eq_homothetyHom_coeₓ'. -/
 @[simp]
 theorem coe_homothetyUnitsMulHom_eq_homothetyHom_coe (p : P) :

mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8

@@ -148,7 +148,7 @@ variable {k P₁}
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (p : P₁) (v : V₁), Eq.{succ u3} P₂ (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e (VAdd.vadd.{u4, u2} V₁ P₁ (AddAction.toHasVadd.{u4, u2} V₁ P₁ (SubNegMonoid.toAddMonoid.{u4} V₁ (AddGroup.toSubNegMonoid.{u4} V₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2))) (AddTorsor.toAddAction.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4)) v p)) (VAdd.vadd.{u5, u3} V₂ P₂ (AddAction.toHasVadd.{u5, u3} V₂ P₂ (SubNegMonoid.toAddMonoid.{u5} V₂ (AddGroup.toSubNegMonoid.{u5} V₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5))) (AddTorsor.toAddAction.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5) _inst_7)) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) => V₁ -> V₂) (LinearEquiv.hasCoeToFun.{u1, u1, u4, u5} k k V₁ V₂ (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.linear.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e) v) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e p))
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (p : P₁) (v : V₁), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) (HVAdd.hVAdd.{u2, u4, u4} V₁ P₁ P₁ (instHVAdd.{u2, u4} V₁ P₁ (AddAction.toVAdd.{u2, u4} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v p)) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e (HVAdd.hVAdd.{u2, u4, u4} V₁ P₁ P₁ (instHVAdd.{u2, u4} V₁ P₁ (AddAction.toVAdd.{u2, u4} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v p)) (HVAdd.hVAdd.{u1, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) v) ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) p) ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) p) (instHVAdd.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) v) ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) p) (AddAction.toVAdd.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) v) ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) p) (SubNegMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) v) (AddGroup.toSubNegMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) v) (AddCommGroup.toAddGroup.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) v) _inst_5))) (AddTorsor.toAddAction.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) v) ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) p) (AddCommGroup.toAddGroup.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) v) _inst_5) _inst_7))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u5, u5, u2, u1} k k (Ring.toSemiring.{u5} k _inst_1) (Ring.toSemiring.{u5} k _inst_1) (RingHom.id.{u5} k (Semiring.toNonAssocSemiring.{u5} k (Ring.toSemiring.{u5} k _inst_1))) (RingHom.id.{u5} k (Semiring.toNonAssocSemiring.{u5} k (Ring.toSemiring.{u5} k _inst_1))) (RingHomInvPair.ids.{u5} k (Ring.toSemiring.{u5} k _inst_1)) (RingHomInvPair.ids.{u5} k (Ring.toSemiring.{u5} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) 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(Ring.toSemiring.{u5} k _inst_1)) (RingHomInvPair.ids.{u5} k (Ring.toSemiring.{u5} k _inst_1)) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u5, u5, u2, u1} k k V₁ V₂ (Ring.toSemiring.{u5} k _inst_1) (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u5} k (Semiring.toNonAssocSemiring.{u5} k (Ring.toSemiring.{u5} k _inst_1))) (RingHom.id.{u5} k (Semiring.toNonAssocSemiring.{u5} k (Ring.toSemiring.{u5} k _inst_1))) (RingHomInvPair.ids.{u5} k (Ring.toSemiring.{u5} k _inst_1)) (RingHomInvPair.ids.{u5} k (Ring.toSemiring.{u5} k _inst_1))))))) (AffineEquiv.linear.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e) v) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e p))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.map_vadd AffineEquiv.map_vaddₓ'. -/
 @[simp]
 theorem map_vadd (e : P₁ ≃ᵃ[k] P₂) (p : P₁) (v : V₁) : e (v +ᵥ p) = e.linear v +ᵥ e p :=
@@ -159,7 +159,7 @@ theorem map_vadd (e : P₁ ≃ᵃ[k] P₂) (p : P₁) (v : V₁) : e (v +ᵥ p)
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Eq.{max (succ u2) (succ u3)} (P₁ -> P₂) (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) (AffineEquiv.toEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e)) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e)
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : P₁), (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : P₁) => P₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (Equiv.{succ u4, succ u3} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u4, succ u3} P₁ P₂) (AffineEquiv.toEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e)) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e)
+  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : P₁), (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : P₁) => P₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (Equiv.{succ u4, succ u3} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u4, succ u3} P₁ P₂) (AffineEquiv.toEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e)) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_to_equiv AffineEquiv.coe_toEquivₓ'. -/
 @[simp]
 theorem coe_toEquiv (e : P₁ ≃ᵃ[k] P₂) : ⇑e.toEquiv = e :=
@@ -173,7 +173,7 @@ instance : Coe (P₁ ≃ᵃ[k] P₂) (P₁ →ᵃ[k] P₂) :=
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Eq.{max (succ u2) (succ u3)} ((fun (_x : AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.toAffineMap.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e)) (coeFn.{max (succ u4) (succ u2) (succ u5) (succ u3), max (succ u2) (succ u3)} (AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineMap.hasCoeToFun.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineEquiv.toAffineMap.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e)) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e)
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Eq.{max (succ u4) (succ u3)} (forall (a : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P₁) => P₂) a) (FunLike.coe.{max (max (max (succ u2) (succ u4)) (succ u1)) (succ u3), succ u4, succ u3} (AffineMap.{u5, u2, u4, u1, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P₁) => P₂) _x) (AffineMap.funLike.{u5, u2, u4, u1, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineEquiv.toAffineMap.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e)) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e)
+  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Eq.{max (succ u4) (succ u3)} (forall (a : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P₁) => P₂) a) (FunLike.coe.{max (max (max (succ u2) (succ u4)) (succ u1)) (succ u3), succ u4, succ u3} (AffineMap.{u5, u2, u4, u1, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P₁) => P₂) _x) (AffineMap.funLike.{u5, u2, u4, u1, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineEquiv.toAffineMap.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e)) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_to_affine_map AffineEquiv.coe_toAffineMapₓ'. -/
 @[simp]
 theorem coe_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : (e.toAffineMap : P₁ → P₂) = (e : P₁ → P₂) :=
@@ -184,7 +184,7 @@ theorem coe_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : (e.toAffineMap : P₁ → P
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Eq.{max (succ u2) (succ u3)} ((fun (_x : AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) ((fun (a : Sort.{max (succ u2) (succ u3) (succ u4) (succ u5)}) (b : Sort.{max (succ u4) (succ u2) (succ u5) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u4) (succ u2) (succ u5) (succ u3)} a b] => self.0) (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (HasLiftT.mk.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u4) (succ u2) (succ u5) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (CoeTCₓ.coe.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u4) (succ u2) (succ u5) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (coeBase.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u4) (succ u2) (succ u5) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineEquiv.AffineMap.hasCoe.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7)))) e)) (coeFn.{max (succ u4) (succ u2) (succ u5) (succ u3), max (succ u2) (succ u3)} (AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineMap.hasCoeToFun.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) ((fun (a : Sort.{max (succ u2) (succ u3) (succ u4) (succ u5)}) (b : Sort.{max (succ u4) (succ u2) (succ u5) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u4) (succ u2) (succ u5) (succ u3)} a b] => self.0) (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (HasLiftT.mk.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u4) (succ u2) (succ u5) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (CoeTCₓ.coe.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u4) (succ u2) (succ u5) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (coeBase.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u4) (succ u2) (succ u5) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineEquiv.AffineMap.hasCoe.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7)))) e)) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e)
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Eq.{max (succ u4) (succ u3)} (forall (a : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P₁) => P₂) a) (FunLike.coe.{max (max (max (succ u2) (succ u4)) (succ u1)) (succ u3), succ u4, succ u3} (AffineMap.{u5, u2, u4, u1, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P₁) => P₂) _x) (AffineMap.funLike.{u5, u2, u4, u1, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineEquiv.toAffineMap.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e)) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e)
+  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Eq.{max (succ u4) (succ u3)} (forall (a : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P₁) => P₂) a) (FunLike.coe.{max (max (max (succ u2) (succ u4)) (succ u1)) (succ u3), succ u4, succ u3} (AffineMap.{u5, u2, u4, u1, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P₁) => P₂) _x) (AffineMap.funLike.{u5, u2, u4, u1, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineEquiv.toAffineMap.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e)) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_coe AffineEquiv.coe_coeₓ'. -/
 @[norm_cast, simp]
 theorem coe_coe (e : P₁ ≃ᵃ[k] P₂) : ((e : P₁ →ᵃ[k] P₂) : P₁ → P₂) = e :=
@@ -206,7 +206,7 @@ theorem coe_linear (e : P₁ ≃ᵃ[k] P₂) : (e : P₁ →ᵃ[k] P₂).linear
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] {e : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7} {e' : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7}, (forall (x : P₁), Eq.{succ u3} P₂ (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e x) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e' x)) -> (Eq.{max (succ u2) (succ u3) (succ u4) (succ u5)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e e')
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] {e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7} {e' : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7}, (forall (x : P₁), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) x) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e x) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e' x)) -> (Eq.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1)} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e e')
+  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] {e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7} {e' : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7}, (forall (x : P₁), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) x) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e x) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e' x)) -> (Eq.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1)} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e e')
 Case conversion may be inaccurate. Consider using '#align affine_equiv.ext AffineEquiv.extₓ'. -/
 @[ext]
 theorem ext {e e' : P₁ ≃ᵃ[k] P₂} (h : ∀ x, e x = e' x) : e = e' :=
@@ -223,7 +223,7 @@ theorem coeFn_injective : @Injective (P₁ ≃ᵃ[k] P₂) (P₁ → P₂) coeFn
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] {e : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7} {e' : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7}, Iff (Eq.{max (succ u2) (succ u3)} ((fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) e) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e')) (Eq.{max (succ u2) (succ u3) (succ u4) (succ u5)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e e')
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] {e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7} {e' : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7}, Iff (Eq.{max (succ u4) (succ u3)} (forall (a : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) a) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e')) (Eq.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1)} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e e')
+  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] {e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7} {e' : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7}, Iff (Eq.{max (succ u4) (succ u3)} (forall (a : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) a) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e')) (Eq.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1)} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e e')
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_fn_inj AffineEquiv.coeFn_injₓ'. -/
 @[simp, norm_cast]
 theorem coeFn_inj {e e' : P₁ ≃ᵃ[k] P₂} : (e : P₁ → P₂) = e' ↔ e = e' :=
@@ -255,7 +255,7 @@ theorem toEquiv_inj {e e' : P₁ ≃ᵃ[k] P₂} : e.toEquiv = e'.toEquiv ↔ e
 lean 3 declaration is
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 but is expected to have type
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u1} k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} k k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} k k V₁ V₂ (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1))))))) e' v) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e p))), Eq.{max (succ u5) (succ u4)} (forall (a : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) a) (FunLike.coe.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) (AffineEquiv.mk.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e e' h)) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_mk AffineEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (h) : ((⟨e, e', h⟩ : P₁ ≃ᵃ[k] P₂) : P₁ → P₂) = e :=
@@ -286,7 +286,7 @@ def mk' (e : P₁ → P₂) (e' : V₁ ≃ₗ[k] V₂) (p : P₁) (h : ∀ p' :
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : Equiv.{succ u2, succ u3} P₁ P₂) (e' : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (p : P₁) (h : forall (p' : P₁), Eq.{succ u3} P₂ (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e p') (VAdd.vadd.{u5, u3} V₂ P₂ (AddAction.toHasVadd.{u5, u3} V₂ P₂ (SubNegMonoid.toAddMonoid.{u5} V₂ (AddGroup.toSubNegMonoid.{u5} V₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5))) (AddTorsor.toAddAction.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5) _inst_7)) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_3.{u1} k _inst_1) (AffineEquiv.mk'._proof_4.{u1} k _inst_1) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearEquiv.{u1, u1, u4, u5} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_3.{u1} k _inst_1) (AffineEquiv.mk'._proof_4.{u1} k _inst_1) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6) => V₁ -> V₂) (LinearEquiv.hasCoeToFun.{u1, u1, u4, u5} k k V₁ V₂ (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (AffineEquiv.mk'._proof_5.{u1} k _inst_1) (AffineEquiv.mk'._proof_6.{u1} k _inst_1)) e' (VSub.vsub.{u4, u2} V₁ P₁ (AddTorsor.toHasVsub.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4) p' p)) (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e p))), Eq.{max (succ u2) (succ u3)} (P₁ -> P₂) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (AffineEquiv.mk'.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e) e' p h)) (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} P₁ P₂) (fun (_x : Equiv.{succ u2, succ u3} P₁ P₂) => P₁ -> P₂) (Equiv.hasCoeToFun.{succ u2, succ u3} P₁ P₂) e)
 but is expected to have type
-  forall {k : Type.{u3}} {P₁ : Type.{u5}} {P₂ : Type.{u4}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u4} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : Equiv.{succ u5, succ u4} P₁ P₂) (e' : LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (p : P₁) (h : forall (p' : P₁), Eq.{succ u4} P₂ (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e p') (HVAdd.hVAdd.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) (VSub.vsub.{u2, u5} V₁ P₁ (AddTorsor.toVSub.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4) p' p)) P₂ P₂ (instHVAdd.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) (VSub.vsub.{u2, u5} V₁ P₁ (AddTorsor.toVSub.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4) p' p)) P₂ (AddAction.toVAdd.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : V₁) => V₂) (VSub.vsub.{u2, u5} V₁ P₁ (AddTorsor.toVSub.{u2, u5} V₁ P₁ 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(Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) k V₁ V₂ (MonoidWithZero.toMonoid.{u3} k (Semiring.toMonoidWithZero.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (AddCommMonoid.toAddMonoid.{u2} V₁ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)) (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)) (Module.toDistribMulAction.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) _inst_3) (Module.toDistribMulAction.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_6) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} k k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} k k V₁ V₂ (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1))))))) e' (VSub.vsub.{u2, u5} V₁ P₁ (AddTorsor.toVSub.{u2, u5} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4) p' p)) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e p))), Eq.{max (succ u5) (succ u4)} (forall (ᾰ : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) ᾰ) (FunLike.coe.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u5) (succ u4)) (succ u2)) (succ u1), succ u5, succ u4} (AffineEquiv.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) (AffineEquiv.mk'.{u3, u5, u4, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e) e' p h)) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (Equiv.{succ u5, succ u4} P₁ P₂) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : P₁) => P₂) _x) (Equiv.instFunLikeEquiv.{succ u5, succ u4} P₁ P₂) e)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_mk' AffineEquiv.coe_mk'ₓ'. -/
 @[simp]
 theorem coe_mk' (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (p h) : ⇑(mk' e e' p h) = e :=
@@ -360,7 +360,7 @@ initialize_simps_projections AffineEquiv (to_equiv_to_fun → apply, to_equiv_in
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Function.Bijective.{succ u2, succ u3} P₁ P₂ (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e)
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Function.Bijective.{succ u4, succ u3} P₁ P₂ (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e)
+  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Function.Bijective.{succ u4, succ u3} P₁ P₂ (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.bijective AffineEquiv.bijectiveₓ'. -/
 protected theorem bijective (e : P₁ ≃ᵃ[k] P₂) : Bijective e :=
   e.toEquiv.Bijective
@@ -370,7 +370,7 @@ protected theorem bijective (e : P₁ ≃ᵃ[k] P₂) : Bijective e :=
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Function.Surjective.{succ u2, succ u3} P₁ P₂ (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e)
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Function.Surjective.{succ u4, succ u3} P₁ P₂ (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e)
+  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Function.Surjective.{succ u4, succ u3} P₁ P₂ (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.surjective AffineEquiv.surjectiveₓ'. -/
 protected theorem surjective (e : P₁ ≃ᵃ[k] P₂) : Surjective e :=
   e.toEquiv.Surjective
@@ -380,7 +380,7 @@ protected theorem surjective (e : P₁ ≃ᵃ[k] P₂) : Surjective e :=
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Function.Injective.{succ u2, succ u3} P₁ P₂ (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e)
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Function.Injective.{succ u4, succ u3} P₁ P₂ (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e)
+  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Function.Injective.{succ u4, succ u3} P₁ P₂ (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.injective AffineEquiv.injectiveₓ'. -/
 protected theorem injective (e : P₁ ≃ᵃ[k] P₂) : Injective e :=
   e.toEquiv.Injective
@@ -402,7 +402,7 @@ noncomputable def ofBijective {φ : P₁ →ᵃ[k] P₂} (hφ : Function.Bijecti
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] {φ : AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7} (hφ : Function.Bijective.{succ u2, succ u3} P₁ P₂ (coeFn.{max (succ u4) (succ u2) (succ u5) (succ u3), max (succ u2) (succ u3)} (AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineMap.hasCoeToFun.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) φ)), Eq.{max 1 (max (succ u3) (succ u2)) (succ u2) (succ u3)} (Equiv.{succ u3, succ u2} P₂ P₁) (AffineEquiv.toEquiv.{u1, u3, u2, u5, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4 (AffineEquiv.symm.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (AffineEquiv.ofBijective.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 φ hφ))) (Equiv.symm.{succ u2, succ u3} P₁ P₂ (Equiv.ofBijective.{succ u2, succ u3} P₁ P₂ (coeFn.{max (succ u4) (succ u2) (succ u5) (succ u3), max (succ u2) (succ u3)} (AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineMap.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineMap.hasCoeToFun.{u1, u4, u2, u5, u3} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) φ) hφ))
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u3}} {P₂ : Type.{u1}} {V₁ : Type.{u4}} {V₂ : Type.{u2}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u5, u4} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u2} V₂] [_inst_6 : Module.{u5, u2} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₂ _inst_5)] [_inst_7 : AddTorsor.{u2, u1} V₂ P₂ (AddCommGroup.toAddGroup.{u2} V₂ _inst_5)] {φ : AffineMap.{u5, u4, u3, u2, u1} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7} (hφ : Function.Bijective.{succ u3, succ u1} P₁ P₂ (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u3, succ u1} (AffineMap.{u5, u4, u3, u2, u1} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P₁) => P₂) _x) (AffineMap.funLike.{u5, u4, u3, u2, u1} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) φ)), Eq.{max (succ u3) (succ u1)} (Equiv.{succ u1, succ u3} P₂ P₁) (AffineEquiv.toEquiv.{u5, u1, u3, u2, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4 (AffineEquiv.symm.{u5, u3, u1, u4, u2} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (AffineEquiv.ofBijective.{u5, u3, u1, u4, u2} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 φ hφ))) (Equiv.symm.{succ u3, succ u1} P₁ P₂ (Equiv.ofBijective.{succ u3, succ u1} P₁ P₂ (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u3, succ u1} (AffineMap.{u5, u4, u3, u2, u1} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P₁) => P₂) _x) (AffineMap.funLike.{u5, u4, u3, u2, u1} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) φ) hφ))
+  forall {k : Type.{u5}} {P₁ : Type.{u3}} {P₂ : Type.{u1}} {V₁ : Type.{u4}} {V₂ : Type.{u2}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u5, u4} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u2} V₂] [_inst_6 : Module.{u5, u2} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₂ _inst_5)] [_inst_7 : AddTorsor.{u2, u1} V₂ P₂ (AddCommGroup.toAddGroup.{u2} V₂ _inst_5)] {φ : AffineMap.{u5, u4, u3, u2, u1} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7} (hφ : Function.Bijective.{succ u3, succ u1} P₁ P₂ (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u3, succ u1} (AffineMap.{u5, u4, u3, u2, u1} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P₁) => P₂) _x) (AffineMap.funLike.{u5, u4, u3, u2, u1} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) φ)), Eq.{max (succ u3) (succ u1)} (Equiv.{succ u1, succ u3} P₂ P₁) (AffineEquiv.toEquiv.{u5, u1, u3, u2, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4 (AffineEquiv.symm.{u5, u3, u1, u4, u2} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (AffineEquiv.ofBijective.{u5, u3, u1, u4, u2} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 φ hφ))) (Equiv.symm.{succ u3, succ u1} P₁ P₂ (Equiv.ofBijective.{succ u3, succ u1} P₁ P₂ (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u3, succ u1} (AffineMap.{u5, u4, u3, u2, u1} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P₁) => P₂) _x) (AffineMap.funLike.{u5, u4, u3, u2, u1} k V₁ P₁ V₂ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) φ) hφ))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.of_bijective.symm_eq AffineEquiv.ofBijective.symm_eqₓ'. -/
 theorem ofBijective.symm_eq {φ : P₁ →ᵃ[k] P₂} (hφ : Function.Bijective φ) :
     (ofBijective hφ).symm.toEquiv = (Equiv.ofBijective _ hφ).symm :=
@@ -413,7 +413,7 @@ theorem ofBijective.symm_eq {φ : P₁ →ᵃ[k] P₂} (hφ : Function.Bijective
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Eq.{succ u3} (Set.{u3} P₂) (Set.range.{u3, succ u2} P₂ P₁ (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e)) (Set.univ.{u3} P₂)
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Eq.{succ u3} (Set.{u3} P₂) (Set.range.{u3, succ u4} P₂ P₁ (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e)) (Set.univ.{u3} P₂)
+  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7), Eq.{succ u3} (Set.{u3} P₂) (Set.range.{u3, succ u4} P₂ P₁ (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e)) (Set.univ.{u3} P₂)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.range_eq AffineEquiv.range_eqₓ'. -/
 @[simp]
 theorem range_eq (e : P₁ ≃ᵃ[k] P₂) : range e = univ :=
@@ -424,7 +424,7 @@ theorem range_eq (e : P₁ ≃ᵃ[k] P₂) : range e = univ :=
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (p : P₂), Eq.{succ u3} P₂ (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e (coeFn.{max (succ u3) (succ u2) (succ u5) (succ u4), max (succ u3) (succ u2)} (AffineEquiv.{u1, u3, u2, u5, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u3, u2, u5, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) => P₂ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u3, u2, u5, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) (AffineEquiv.symm.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e) p)) p
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (p : P₂), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) (FunLike.coe.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ (fun (a : P₂) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₂) => P₁) a) (EmbeddingLike.toFunLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (EquivLike.toEmbeddingLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (AffineEquiv.equivLike.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4))) (AffineEquiv.symm.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e) p)) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e (FunLike.coe.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ (fun (_x : P₂) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₂) => P₁) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (EquivLike.toEmbeddingLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (AffineEquiv.equivLike.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4))) (AffineEquiv.symm.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e) p)) p
+  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (p : P₂), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) (FunLike.coe.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ (fun (a : P₂) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₂) => P₁) a) (EmbeddingLike.toFunLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (EquivLike.toEmbeddingLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (AffineEquiv.equivLike.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4))) (AffineEquiv.symm.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e) p)) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e (FunLike.coe.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ (fun (_x : P₂) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₂) => P₁) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (EquivLike.toEmbeddingLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (AffineEquiv.equivLike.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4))) (AffineEquiv.symm.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e) p)) p
 Case conversion may be inaccurate. Consider using '#align affine_equiv.apply_symm_apply AffineEquiv.apply_symm_applyₓ'. -/
 @[simp]
 theorem apply_symm_apply (e : P₁ ≃ᵃ[k] P₂) (p : P₂) : e (e.symm p) = p :=
@@ -435,7 +435,7 @@ theorem apply_symm_apply (e : P₁ ≃ᵃ[k] P₂) (p : P₂) : e (e.symm p) = p
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (p : P₁), Eq.{succ u2} P₁ (coeFn.{max (succ u3) (succ u2) (succ u5) (succ u4), max (succ u3) (succ u2)} (AffineEquiv.{u1, u3, u2, u5, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u3, u2, u5, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) => P₂ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u3, u2, u5, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) (AffineEquiv.symm.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e p)) p
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (p : P₁), Eq.{succ u4} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₂) => P₁) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (a : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) a) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e p)) (FunLike.coe.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ (fun (_x : P₂) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₂) => P₁) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (EquivLike.toEmbeddingLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (AffineEquiv.equivLike.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4))) (AffineEquiv.symm.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e p)) p
+  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (p : P₁), Eq.{succ u4} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₂) => P₁) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (a : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) a) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e p)) (FunLike.coe.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ (fun (_x : P₂) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₂) => P₁) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (EquivLike.toEmbeddingLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (AffineEquiv.equivLike.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4))) (AffineEquiv.symm.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e p)) p
 Case conversion may be inaccurate. Consider using '#align affine_equiv.symm_apply_apply AffineEquiv.symm_apply_applyₓ'. -/
 @[simp]
 theorem symm_apply_apply (e : P₁ ≃ᵃ[k] P₂) (p : P₁) : e.symm (e p) = p :=
@@ -446,7 +446,7 @@ theorem symm_apply_apply (e : P₁ ≃ᵃ[k] P₂) (p : P₁) : e.symm (e p) = p
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) {p₁ : P₁} {p₂ : P₂}, Iff (Eq.{succ u3} P₂ (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e p₁) p₂) (Eq.{succ u2} P₁ p₁ (coeFn.{max (succ u3) (succ u2) (succ u5) (succ u4), max (succ u3) (succ u2)} (AffineEquiv.{u1, u3, u2, u5, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u3, u2, u5, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) => P₂ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u3, u2, u5, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) (AffineEquiv.symm.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e) p₂))
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) {p₁ : P₁} {p₂ : (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) p₁}, Iff (Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) p₁) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e p₁) p₂) (Eq.{succ u4} P₁ p₁ (FunLike.coe.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ (fun (_x : P₂) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₂) => P₁) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (EquivLike.toEmbeddingLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (AffineEquiv.equivLike.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4))) (AffineEquiv.symm.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e) p₂))
+  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) {p₁ : P₁} {p₂ : (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) p₁}, Iff (Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) p₁) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e p₁) p₂) (Eq.{succ u4} P₁ p₁ (FunLike.coe.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ (fun (_x : P₂) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₂) => P₁) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (EquivLike.toEmbeddingLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (AffineEquiv.equivLike.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4))) (AffineEquiv.symm.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 e) p₂))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.apply_eq_iff_eq_symm_apply AffineEquiv.apply_eq_iff_eq_symm_applyₓ'. -/
 theorem apply_eq_iff_eq_symm_apply (e : P₁ ≃ᵃ[k] P₂) {p₁ p₂} : e p₁ = p₂ ↔ p₁ = e.symm p₂ :=
   e.toEquiv.apply_eq_iff_eq_symm_apply
@@ -456,7 +456,7 @@ theorem apply_eq_iff_eq_symm_apply (e : P₁ ≃ᵃ[k] P₂) {p₁ p₂} : e p
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) {p₁ : P₁} {p₂ : P₁}, Iff (Eq.{succ u3} P₂ (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e p₁) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e p₂)) (Eq.{succ u2} P₁ p₁ p₂)
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) {p₁ : P₁} {p₂ : P₁}, Iff (Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) p₁) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e p₁) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e p₂)) (Eq.{succ u4} P₁ p₁ p₂)
+  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) {p₁ : P₁} {p₂ : P₁}, Iff (Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) p₁) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e p₁) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e p₂)) (Eq.{succ u4} P₁ p₁ p₂)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.apply_eq_iff_eq AffineEquiv.apply_eq_iff_eqₓ'. -/
 @[simp]
 theorem apply_eq_iff_eq (e : P₁ ≃ᵃ[k] P₂) {p₁ p₂ : P₁} : e p₁ = e p₂ ↔ p₁ = p₂ :=
@@ -467,7 +467,7 @@ theorem apply_eq_iff_eq (e : P₁ ≃ᵃ[k] P₂) {p₁ p₂ : P₁} : e p₁ =
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (f : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (s : Set.{u3} P₂), Eq.{succ u2} (Set.{u2} P₁) (Set.image.{u3, u2} P₂ P₁ (coeFn.{max (succ u3) (succ u2) (succ u5) (succ u4), max (succ u3) (succ u2)} (AffineEquiv.{u1, u3, u2, u5, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u3, u2, u5, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) => P₂ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u3, u2, u5, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) (AffineEquiv.symm.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f)) s) (Set.preimage.{u2, u3} P₁ P₂ (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) f) s)
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (f : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (s : Set.{u3} P₂), Eq.{succ u4} (Set.{u4} P₁) (Set.image.{u3, u4} P₂ P₁ (FunLike.coe.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ (fun (_x : P₂) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₂) => P₁) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (EquivLike.toEmbeddingLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (AffineEquiv.equivLike.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4))) (AffineEquiv.symm.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f)) s) (Set.preimage.{u4, u3} P₁ P₂ (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) f) s)
+  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (f : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (s : Set.{u3} P₂), Eq.{succ u4} (Set.{u4} P₁) (Set.image.{u3, u4} P₂ P₁ (FunLike.coe.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ (fun (_x : P₂) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₂) => P₁) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (EquivLike.toEmbeddingLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (AffineEquiv.equivLike.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4))) (AffineEquiv.symm.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f)) s) (Set.preimage.{u4, u3} P₁ P₂ (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) f) s)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.image_symm AffineEquiv.image_symmₓ'. -/
 @[simp]
 theorem image_symm (f : P₁ ≃ᵃ[k] P₂) (s : Set P₂) : f.symm '' s = f ⁻¹' s :=
@@ -478,7 +478,7 @@ theorem image_symm (f : P₁ ≃ᵃ[k] P₂) (s : Set P₂) : f.symm '' s = f 
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (f : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (s : Set.{u2} P₁), Eq.{succ u3} (Set.{u3} P₂) (Set.preimage.{u3, u2} P₂ P₁ (coeFn.{max (succ u3) (succ u2) (succ u5) (succ u4), max (succ u3) (succ u2)} (AffineEquiv.{u1, u3, u2, u5, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u3, u2, u5, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) => P₂ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u3, u2, u5, u4} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) (AffineEquiv.symm.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f)) s) (Set.image.{u2, u3} P₁ P₂ (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) f) s)
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (f : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (s : Set.{u4} P₁), Eq.{succ u3} (Set.{u3} P₂) (Set.preimage.{u3, u4} P₂ P₁ (FunLike.coe.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ (fun (_x : P₂) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₂) => P₁) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (EquivLike.toEmbeddingLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (AffineEquiv.equivLike.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4))) (AffineEquiv.symm.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f)) s) (Set.image.{u4, u3} P₁ P₂ (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) f) s)
+  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (f : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (s : Set.{u4} P₁), Eq.{succ u3} (Set.{u3} P₂) (Set.preimage.{u3, u4} P₂ P₁ (FunLike.coe.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ (fun (_x : P₂) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₂) => P₁) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (EquivLike.toEmbeddingLike.{max (max (max (succ u3) (succ u4)) (succ u1)) (succ u2), succ u3, succ u4} (AffineEquiv.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4) P₂ P₁ (AffineEquiv.equivLike.{u5, u3, u4, u1, u2} k P₂ P₁ V₂ V₁ _inst_1 _inst_5 _inst_6 _inst_7 _inst_2 _inst_3 _inst_4))) (AffineEquiv.symm.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f)) s) (Set.image.{u4, u3} P₁ P₂ (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) f) s)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.preimage_symm AffineEquiv.preimage_symmₓ'. -/
 @[simp]
 theorem preimage_symm (f : P₁ ≃ᵃ[k] P₂) (s : Set P₁) : f.symm ⁻¹' s = f '' s :=
@@ -503,7 +503,7 @@ def refl : P₁ ≃ᵃ[k] P₁ where
 lean 3 declaration is
   forall (k : Type.{u1}) (P₁ : Type.{u2}) {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)], Eq.{succ u2} (P₁ -> P₁) (coeFn.{max (succ u2) (succ u3), succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.refl.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4)) (id.{succ u2} P₁)
 but is expected to have type
-  forall (k : Type.{u1}) (P₁ : Type.{u3}) {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)], Eq.{succ u3} (forall (ᾰ : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) ᾰ) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.refl.{u1, u3, u2} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4)) (id.{succ u3} P₁)
+  forall (k : Type.{u1}) (P₁ : Type.{u3}) {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)], Eq.{succ u3} (forall (ᾰ : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) ᾰ) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.refl.{u1, u3, u2} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4)) (id.{succ u3} P₁)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_refl AffineEquiv.coe_reflₓ'. -/
 @[simp]
 theorem coe_refl : ⇑(refl k P₁) = id :=
@@ -525,7 +525,7 @@ theorem coe_refl_to_affineMap : ↑(refl k P₁) = AffineMap.id k P₁ :=
 lean 3 declaration is
   forall (k : Type.{u1}) (P₁ : Type.{u2}) {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] (x : P₁), Eq.{succ u2} P₁ (coeFn.{max (succ u2) (succ u3), succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.refl.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4) x) x
 but is expected to have type
-  forall (k : Type.{u1}) (P₁ : Type.{u3}) {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (x : P₁), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.refl.{u1, u3, u2} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4) x) x
+  forall (k : Type.{u1}) (P₁ : Type.{u3}) {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (x : P₁), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.refl.{u1, u3, u2} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4) x) x
 Case conversion may be inaccurate. Consider using '#align affine_equiv.refl_apply AffineEquiv.refl_applyₓ'. -/
 @[simp]
 theorem refl_apply (x : P₁) : refl k P₁ x = x :=
@@ -585,7 +585,7 @@ def trans (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) : P₁ ≃ᵃ[k]
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {P₃ : Type.{u4}} {V₁ : Type.{u5}} {V₂ : Type.{u6}} {V₃ : Type.{u7}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u5} V₁] [_inst_3 : Module.{u1, u5} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₁ _inst_2)] [_inst_4 : AddTorsor.{u5, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u5} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u6} V₂] [_inst_6 : Module.{u1, u6} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u6} V₂ _inst_5)] [_inst_7 : AddTorsor.{u6, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u6} V₂ _inst_5)] [_inst_8 : AddCommGroup.{u7} V₃] [_inst_9 : Module.{u1, u7} k V₃ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u7} V₃ _inst_8)] [_inst_10 : AddTorsor.{u7, u4} V₃ P₃ (AddCommGroup.toAddGroup.{u7} V₃ _inst_8)] (e : AffineEquiv.{u1, u2, u3, u5, u6} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (e' : AffineEquiv.{u1, u3, u4, u6, u7} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10), Eq.{max (succ u2) (succ u4)} (P₁ -> P₃) (coeFn.{max (succ u2) (succ u4) (succ u5) (succ u7), max (succ u2) (succ u4)} (AffineEquiv.{u1, u2, u4, u5, u7} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) (fun (_x : AffineEquiv.{u1, u2, u4, u5, u7} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) => P₁ -> P₃) (AffineEquiv.hasCoeToFun.{u1, u2, u4, u5, u7} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) (AffineEquiv.trans.{u1, u2, u3, u4, u5, u6, u7} k P₁ P₂ P₃ V₁ V₂ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 e e')) (Function.comp.{succ u2, succ u3, succ u4} P₁ P₂ P₃ (coeFn.{max (succ u3) (succ u4) (succ u6) (succ u7), max (succ u3) (succ u4)} (AffineEquiv.{u1, u3, u4, u6, u7} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) (fun (_x : AffineEquiv.{u1, u3, u4, u6, u7} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) => P₂ -> P₃) (AffineEquiv.hasCoeToFun.{u1, u3, u4, u6, u7} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) e') (coeFn.{max (succ u2) (succ u3) (succ u5) (succ u6), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u5, u6} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u5, u6} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u5, u6} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e))
 but is expected to have type
-  forall {k : Type.{u7}} {P₁ : Type.{u6}} {P₂ : Type.{u5}} {P₃ : Type.{u2}} {V₁ : Type.{u4}} {V₂ : Type.{u3}} {V₃ : Type.{u1}} [_inst_1 : Ring.{u7} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u7, u4} k V₁ (Ring.toSemiring.{u7} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u6} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u3} V₂] [_inst_6 : Module.{u7, u3} k V₂ (Ring.toSemiring.{u7} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_5)] [_inst_7 : AddTorsor.{u3, u5} V₂ P₂ (AddCommGroup.toAddGroup.{u3} V₂ _inst_5)] [_inst_8 : AddCommGroup.{u1} V₃] [_inst_9 : Module.{u7, u1} k V₃ (Ring.toSemiring.{u7} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₃ _inst_8)] [_inst_10 : AddTorsor.{u1, u2} V₃ P₃ (AddCommGroup.toAddGroup.{u1} V₃ _inst_8)] (e : AffineEquiv.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (e' : AffineEquiv.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10), Eq.{max (succ u6) (succ u2)} (forall (ᾰ : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₃) ᾰ) (FunLike.coe.{max (max (max (succ u6) (succ u2)) (succ u4)) (succ u1), succ u6, succ u2} (AffineEquiv.{u7, u6, u2, u4, u1} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₃) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u6) (succ u2)) (succ u4)) (succ u1), succ u6, succ u2} (AffineEquiv.{u7, u6, u2, u4, u1} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) P₁ P₃ (EquivLike.toEmbeddingLike.{max (max (max (succ u6) (succ u2)) (succ u4)) (succ u1), succ u6, succ u2} (AffineEquiv.{u7, u6, u2, u4, u1} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) P₁ P₃ (AffineEquiv.equivLike.{u7, u6, u2, u4, u1} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10))) (AffineEquiv.trans.{u7, u6, u5, u2, u4, u3, u1} k P₁ P₂ P₃ V₁ V₂ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 e e')) (Function.comp.{succ u6, succ u5, succ u2} P₁ P₂ P₃ (FunLike.coe.{max (max (max (succ u5) (succ u2)) (succ u3)) (succ u1), succ u5, succ u2} (AffineEquiv.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) P₂ (fun (_x : P₂) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₂) => P₃) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u5) (succ u2)) (succ u3)) (succ u1), succ u5, succ u2} (AffineEquiv.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) P₂ P₃ (EquivLike.toEmbeddingLike.{max (max (max (succ u5) (succ u2)) (succ u3)) (succ u1), succ u5, succ u2} (AffineEquiv.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) P₂ P₃ (AffineEquiv.equivLike.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10))) e') (FunLike.coe.{max (max (max (succ u6) (succ u5)) (succ u4)) (succ u3), succ u6, succ u5} (AffineEquiv.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u6) (succ u5)) (succ u4)) (succ u3), succ u6, succ u5} (AffineEquiv.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u6) (succ u5)) (succ u4)) (succ u3), succ u6, succ u5} (AffineEquiv.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e))
+  forall {k : Type.{u7}} {P₁ : Type.{u6}} {P₂ : Type.{u5}} {P₃ : Type.{u2}} {V₁ : Type.{u4}} {V₂ : Type.{u3}} {V₃ : Type.{u1}} [_inst_1 : Ring.{u7} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u7, u4} k V₁ (Ring.toSemiring.{u7} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u6} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u3} V₂] [_inst_6 : Module.{u7, u3} k V₂ (Ring.toSemiring.{u7} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_5)] [_inst_7 : AddTorsor.{u3, u5} V₂ P₂ (AddCommGroup.toAddGroup.{u3} V₂ _inst_5)] [_inst_8 : AddCommGroup.{u1} V₃] [_inst_9 : Module.{u7, u1} k V₃ (Ring.toSemiring.{u7} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₃ _inst_8)] [_inst_10 : AddTorsor.{u1, u2} V₃ P₃ (AddCommGroup.toAddGroup.{u1} V₃ _inst_8)] (e : AffineEquiv.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (e' : AffineEquiv.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10), Eq.{max (succ u6) (succ u2)} (forall (ᾰ : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₃) ᾰ) (FunLike.coe.{max (max (max (succ u6) (succ u2)) (succ u4)) (succ u1), succ u6, succ u2} (AffineEquiv.{u7, u6, u2, u4, u1} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₃) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u6) (succ u2)) (succ u4)) (succ u1), succ u6, succ u2} (AffineEquiv.{u7, u6, u2, u4, u1} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) P₁ P₃ (EquivLike.toEmbeddingLike.{max (max (max (succ u6) (succ u2)) (succ u4)) (succ u1), succ u6, succ u2} (AffineEquiv.{u7, u6, u2, u4, u1} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) P₁ P₃ (AffineEquiv.equivLike.{u7, u6, u2, u4, u1} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10))) (AffineEquiv.trans.{u7, u6, u5, u2, u4, u3, u1} k P₁ P₂ P₃ V₁ V₂ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 e e')) (Function.comp.{succ u6, succ u5, succ u2} P₁ P₂ P₃ (FunLike.coe.{max (max (max (succ u5) (succ u2)) (succ u3)) (succ u1), succ u5, succ u2} (AffineEquiv.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) P₂ (fun (_x : P₂) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₂) => P₃) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u5) (succ u2)) (succ u3)) (succ u1), succ u5, succ u2} (AffineEquiv.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) P₂ P₃ (EquivLike.toEmbeddingLike.{max (max (max (succ u5) (succ u2)) (succ u3)) (succ u1), succ u5, succ u2} (AffineEquiv.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) P₂ P₃ (AffineEquiv.equivLike.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10))) e') (FunLike.coe.{max (max (max (succ u6) (succ u5)) (succ u4)) (succ u3), succ u6, succ u5} (AffineEquiv.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u6) (succ u5)) (succ u4)) (succ u3), succ u6, succ u5} (AffineEquiv.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u6) (succ u5)) (succ u4)) (succ u3), succ u6, succ u5} (AffineEquiv.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_trans AffineEquiv.coe_transₓ'. -/
 @[simp]
 theorem coe_trans (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) : ⇑(e.trans e') = e' ∘ e :=
@@ -608,7 +608,7 @@ theorem coe_trans_to_affineMap (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {P₃ : Type.{u4}} {V₁ : Type.{u5}} {V₂ : Type.{u6}} {V₃ : Type.{u7}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u5} V₁] [_inst_3 : Module.{u1, u5} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₁ _inst_2)] [_inst_4 : AddTorsor.{u5, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u5} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u6} V₂] [_inst_6 : Module.{u1, u6} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u6} V₂ _inst_5)] [_inst_7 : AddTorsor.{u6, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u6} V₂ _inst_5)] [_inst_8 : AddCommGroup.{u7} V₃] [_inst_9 : Module.{u1, u7} k V₃ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u7} V₃ _inst_8)] [_inst_10 : AddTorsor.{u7, u4} V₃ P₃ (AddCommGroup.toAddGroup.{u7} V₃ _inst_8)] (e : AffineEquiv.{u1, u2, u3, u5, u6} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (e' : AffineEquiv.{u1, u3, u4, u6, u7} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) (p : P₁), Eq.{succ u4} P₃ (coeFn.{max (succ u2) (succ u4) (succ u5) (succ u7), max (succ u2) (succ u4)} (AffineEquiv.{u1, u2, u4, u5, u7} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) (fun (_x : AffineEquiv.{u1, u2, u4, u5, u7} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) => P₁ -> P₃) (AffineEquiv.hasCoeToFun.{u1, u2, u4, u5, u7} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) (AffineEquiv.trans.{u1, u2, u3, u4, u5, u6, u7} k P₁ P₂ P₃ V₁ V₂ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 e e') p) (coeFn.{max (succ u3) (succ u4) (succ u6) (succ u7), max (succ u3) (succ u4)} (AffineEquiv.{u1, u3, u4, u6, u7} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) (fun (_x : AffineEquiv.{u1, u3, u4, u6, u7} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) => P₂ -> P₃) (AffineEquiv.hasCoeToFun.{u1, u3, u4, u6, u7} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) e' (coeFn.{max (succ u2) (succ u3) (succ u5) (succ u6), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u5, u6} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u5, u6} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u5, u6} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e p))
 but is expected to have type
-  forall {k : Type.{u7}} {P₁ : Type.{u6}} {P₂ : Type.{u5}} {P₃ : Type.{u2}} {V₁ : Type.{u4}} {V₂ : Type.{u3}} {V₃ : Type.{u1}} [_inst_1 : Ring.{u7} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u7, u4} k V₁ (Ring.toSemiring.{u7} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u6} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u3} V₂] [_inst_6 : Module.{u7, u3} k V₂ (Ring.toSemiring.{u7} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_5)] [_inst_7 : AddTorsor.{u3, u5} V₂ P₂ (AddCommGroup.toAddGroup.{u3} V₂ _inst_5)] [_inst_8 : AddCommGroup.{u1} V₃] [_inst_9 : Module.{u7, u1} k V₃ (Ring.toSemiring.{u7} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₃ _inst_8)] [_inst_10 : AddTorsor.{u1, u2} V₃ P₃ (AddCommGroup.toAddGroup.{u1} V₃ _inst_8)] (e : AffineEquiv.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (e' : AffineEquiv.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) (p : P₁), Eq.{succ u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₃) p) (FunLike.coe.{max (max (max (succ u6) (succ u2)) (succ u4)) (succ u1), succ u6, succ u2} (AffineEquiv.{u7, u6, u2, u4, u1} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₃) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u6) (succ u2)) (succ u4)) (succ u1), succ u6, succ u2} (AffineEquiv.{u7, u6, u2, u4, u1} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) P₁ P₃ (EquivLike.toEmbeddingLike.{max (max (max (succ u6) (succ u2)) (succ u4)) (succ u1), succ u6, succ u2} (AffineEquiv.{u7, u6, u2, u4, u1} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) P₁ P₃ (AffineEquiv.equivLike.{u7, u6, u2, u4, u1} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10))) (AffineEquiv.trans.{u7, u6, u5, u2, u4, u3, u1} k P₁ P₂ P₃ V₁ V₂ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 e e') p) (FunLike.coe.{max (max (max (succ u5) (succ u2)) (succ u3)) (succ u1), succ u5, succ u2} (AffineEquiv.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) P₂ (fun (_x : P₂) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₂) => P₃) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u5) (succ u2)) (succ u3)) (succ u1), succ u5, succ u2} (AffineEquiv.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) P₂ P₃ (EquivLike.toEmbeddingLike.{max (max (max (succ u5) (succ u2)) (succ u3)) (succ u1), succ u5, succ u2} (AffineEquiv.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) P₂ P₃ (AffineEquiv.equivLike.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10))) e' (FunLike.coe.{max (max (max (succ u6) (succ u5)) (succ u4)) (succ u3), succ u6, succ u5} (AffineEquiv.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u6) (succ u5)) (succ u4)) (succ u3), succ u6, succ u5} (AffineEquiv.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u6) (succ u5)) (succ u4)) (succ u3), succ u6, succ u5} (AffineEquiv.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e p))
+  forall {k : Type.{u7}} {P₁ : Type.{u6}} {P₂ : Type.{u5}} {P₃ : Type.{u2}} {V₁ : Type.{u4}} {V₂ : Type.{u3}} {V₃ : Type.{u1}} [_inst_1 : Ring.{u7} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u7, u4} k V₁ (Ring.toSemiring.{u7} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u6} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u3} V₂] [_inst_6 : Module.{u7, u3} k V₂ (Ring.toSemiring.{u7} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_5)] [_inst_7 : AddTorsor.{u3, u5} V₂ P₂ (AddCommGroup.toAddGroup.{u3} V₂ _inst_5)] [_inst_8 : AddCommGroup.{u1} V₃] [_inst_9 : Module.{u7, u1} k V₃ (Ring.toSemiring.{u7} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₃ _inst_8)] [_inst_10 : AddTorsor.{u1, u2} V₃ P₃ (AddCommGroup.toAddGroup.{u1} V₃ _inst_8)] (e : AffineEquiv.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (e' : AffineEquiv.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) (p : P₁), Eq.{succ u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₃) p) (FunLike.coe.{max (max (max (succ u6) (succ u2)) (succ u4)) (succ u1), succ u6, succ u2} (AffineEquiv.{u7, u6, u2, u4, u1} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₃) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u6) (succ u2)) (succ u4)) (succ u1), succ u6, succ u2} (AffineEquiv.{u7, u6, u2, u4, u1} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) P₁ P₃ (EquivLike.toEmbeddingLike.{max (max (max (succ u6) (succ u2)) (succ u4)) (succ u1), succ u6, succ u2} (AffineEquiv.{u7, u6, u2, u4, u1} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10) P₁ P₃ (AffineEquiv.equivLike.{u7, u6, u2, u4, u1} k P₁ P₃ V₁ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_8 _inst_9 _inst_10))) (AffineEquiv.trans.{u7, u6, u5, u2, u4, u3, u1} k P₁ P₂ P₃ V₁ V₂ V₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 e e') p) (FunLike.coe.{max (max (max (succ u5) (succ u2)) (succ u3)) (succ u1), succ u5, succ u2} (AffineEquiv.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) P₂ (fun (_x : P₂) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₂) => P₃) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u5) (succ u2)) (succ u3)) (succ u1), succ u5, succ u2} (AffineEquiv.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) P₂ P₃ (EquivLike.toEmbeddingLike.{max (max (max (succ u5) (succ u2)) (succ u3)) (succ u1), succ u5, succ u2} (AffineEquiv.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10) P₂ P₃ (AffineEquiv.equivLike.{u7, u5, u2, u3, u1} k P₂ P₃ V₂ V₃ _inst_1 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10))) e' (FunLike.coe.{max (max (max (succ u6) (succ u5)) (succ u4)) (succ u3), succ u6, succ u5} (AffineEquiv.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u6) (succ u5)) (succ u4)) (succ u3), succ u6, succ u5} (AffineEquiv.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u6) (succ u5)) (succ u4)) (succ u3), succ u6, succ u5} (AffineEquiv.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u7, u6, u5, u4, u3} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e p))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.trans_apply AffineEquiv.trans_applyₓ'. -/
 @[simp]
 theorem trans_apply (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) (p : P₁) : e.trans e' p = e' (e p) :=
@@ -678,7 +678,7 @@ theorem symm_trans_self (e : P₁ ≃ᵃ[k] P₂) : e.symm.trans e = refl k P₂
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {P₂ : Type.{u3}} {V₁ : Type.{u4}} {V₂ : Type.{u5}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u4} V₁] [_inst_3 : Module.{u1, u4} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u4} V₁ _inst_2)] [_inst_4 : AddTorsor.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u5} V₂] [_inst_6 : Module.{u1, u5} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u5} V₂ _inst_5)] [_inst_7 : AddTorsor.{u5, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u5} V₂ _inst_5)] (e : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (a : P₁) (b : P₁) (c : k), Eq.{succ u3} P₂ (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e (coeFn.{max (succ u1) (succ u4) (succ u2), max (succ u1) (succ u2)} (AffineMap.{u1, u1, u1, u4, u2} k k k V₁ P₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 _inst_4) (fun (_x : AffineMap.{u1, u1, u1, u4, u2} k k k V₁ P₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 _inst_4) => k -> P₁) (AffineMap.hasCoeToFun.{u1, u1, u1, u4, u2} k k k V₁ P₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 _inst_4) (AffineMap.lineMap.{u1, u4, u2} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 a b) c)) (coeFn.{max (succ u1) (succ u5) (succ u3), max (succ u1) (succ u3)} (AffineMap.{u1, u1, u1, u5, u3} k k k V₂ P₂ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_5 _inst_6 _inst_7) (fun (_x : AffineMap.{u1, u1, u1, u5, u3} k k k V₂ P₂ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_5 _inst_6 _inst_7) => k -> P₂) (AffineMap.hasCoeToFun.{u1, u1, u1, u5, u3} k k k V₂ P₂ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_5 _inst_6 _inst_7) (AffineMap.lineMap.{u1, u5, u3} k V₂ P₂ _inst_1 _inst_5 _inst_6 _inst_7 (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e a) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => P₁ -> P₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) e b)) c)
 but is expected to have type
-  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (a : P₁) (b : P₁) (c : k), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u4), succ u5, succ u4} (AffineMap.{u5, u5, u5, u2, u4} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u5} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u5} k _inst_1) (addGroupIsAddTorsor.{u5} k (AddGroupWithOne.toAddGroup.{u5} k (Ring.toAddGroupWithOne.{u5} k _inst_1))) _inst_2 _inst_3 _inst_4) k (fun (a : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) a) (AffineMap.funLike.{u5, u5, u5, u2, u4} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u5} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u5} k _inst_1) (addGroupIsAddTorsor.{u5} k (AddGroupWithOne.toAddGroup.{u5} k (Ring.toAddGroupWithOne.{u5} k _inst_1))) _inst_2 _inst_3 _inst_4) (AffineMap.lineMap.{u5, u2, u4} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 a b) c)) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u4), succ u5, succ u4} (AffineMap.{u5, u5, u5, u2, u4} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u5} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u5} k _inst_1) (addGroupIsAddTorsor.{u5} k (AddGroupWithOne.toAddGroup.{u5} k (Ring.toAddGroupWithOne.{u5} k _inst_1))) _inst_2 _inst_3 _inst_4) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) _x) (AffineMap.funLike.{u5, u5, u5, u2, u4} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u5} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u5} k _inst_1) (addGroupIsAddTorsor.{u5} k (AddGroupWithOne.toAddGroup.{u5} k (Ring.toAddGroupWithOne.{u5} k _inst_1))) _inst_2 _inst_3 _inst_4) (AffineMap.lineMap.{u5, u2, u4} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 a b) c)) (FunLike.coe.{max (max (succ u5) (succ u1)) (succ u3), succ u5, succ u3} (AffineMap.{u5, u5, u5, u1, u3} k k k V₂ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) a) _inst_1 (Ring.toAddCommGroup.{u5} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u5} k _inst_1) (addGroupIsAddTorsor.{u5} k (AddGroupWithOne.toAddGroup.{u5} k (Ring.toAddGroupWithOne.{u5} k _inst_1))) _inst_5 _inst_6 _inst_7) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) a) _x) (AffineMap.funLike.{u5, u5, u5, u1, u3} k k k V₂ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) a) _inst_1 (Ring.toAddCommGroup.{u5} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u5} k _inst_1) (addGroupIsAddTorsor.{u5} k (AddGroupWithOne.toAddGroup.{u5} k (Ring.toAddGroupWithOne.{u5} k _inst_1))) _inst_5 _inst_6 _inst_7) (AffineMap.lineMap.{u5, u1, u3} k V₂ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) a) _inst_1 _inst_5 _inst_6 _inst_7 (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e a) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e b)) c)
+  forall {k : Type.{u5}} {P₁ : Type.{u4}} {P₂ : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u5} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u5, u2} k V₁ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u4} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u5, u1} k V₂ (Ring.toSemiring.{u5} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] [_inst_7 : AddTorsor.{u1, u3} V₂ P₂ (AddCommGroup.toAddGroup.{u1} V₂ _inst_5)] (e : AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (a : P₁) (b : P₁) (c : k), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u4), succ u5, succ u4} (AffineMap.{u5, u5, u5, u2, u4} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u5} k _inst_1) (Semiring.toModule.{u5} k (Ring.toSemiring.{u5} k _inst_1)) (addGroupIsAddTorsor.{u5} k (AddGroupWithOne.toAddGroup.{u5} k (Ring.toAddGroupWithOne.{u5} k _inst_1))) _inst_2 _inst_3 _inst_4) k (fun (a : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => P₁) a) (AffineMap.funLike.{u5, u5, u5, u2, u4} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u5} k _inst_1) (Semiring.toModule.{u5} k (Ring.toSemiring.{u5} k _inst_1)) (addGroupIsAddTorsor.{u5} k (AddGroupWithOne.toAddGroup.{u5} k (Ring.toAddGroupWithOne.{u5} k _inst_1))) _inst_2 _inst_3 _inst_4) (AffineMap.lineMap.{u5, u2, u4} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 a b) c)) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) 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(a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) a) _inst_1 (Ring.toAddCommGroup.{u5} k _inst_1) (Semiring.toModule.{u5} k (Ring.toSemiring.{u5} k _inst_1)) (addGroupIsAddTorsor.{u5} k (AddGroupWithOne.toAddGroup.{u5} k (Ring.toAddGroupWithOne.{u5} k _inst_1))) _inst_5 _inst_6 _inst_7) (AffineMap.lineMap.{u5, u1, u3} k V₂ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) a) _inst_1 _inst_5 _inst_6 _inst_7 (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e a) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e b)) c)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.apply_line_map AffineEquiv.apply_lineMapₓ'. -/
 @[simp]
 theorem apply_lineMap (e : P₁ ≃ᵃ[k] P₂) (a b : P₁) (c : k) :
@@ -711,7 +711,7 @@ theorem one_def : (1 : P₁ ≃ᵃ[k] P₁) = refl k P₁ :=
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)], Eq.{succ u2} (P₁ -> P₁) (coeFn.{max (succ u2) (succ u3), succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (OfNat.ofNat.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) 1 (OfNat.mk.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) 1 (One.one.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (MulOneClass.toHasOne.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Monoid.toMulOneClass.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (DivInvMonoid.toMonoid.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Group.toDivInvMonoid.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.group.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4))))))))) (id.{succ u2} P₁)
 but is expected to have type
-  forall {k : Type.{u1}} {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)], Eq.{succ u3} (forall (ᾰ : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) ᾰ) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (OfNat.ofNat.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) 1 (One.toOfNat1.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (InvOneClass.toOne.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (DivInvOneMonoid.toInvOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (DivisionMonoid.toDivInvOneMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Group.toDivisionMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.group.{u1, u3, u2} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4)))))))) (id.{succ u3} P₁)
+  forall {k : Type.{u1}} {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)], Eq.{succ u3} (forall (ᾰ : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) ᾰ) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (OfNat.ofNat.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) 1 (One.toOfNat1.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (InvOneClass.toOne.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (DivInvOneMonoid.toInvOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (DivisionMonoid.toDivInvOneMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Group.toDivisionMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.group.{u1, u3, u2} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4)))))))) (id.{succ u3} P₁)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_one AffineEquiv.coe_oneₓ'. -/
 @[simp]
 theorem coe_one : ⇑(1 : P₁ ≃ᵃ[k] P₁) = id :=
@@ -732,7 +732,7 @@ theorem mul_def (e e' : P₁ ≃ᵃ[k] P₁) : e * e' = e'.trans e :=
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] (e : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (e' : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4), Eq.{succ u2} (P₁ -> P₁) (coeFn.{succ (max u2 u3), succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (HMul.hMul.{max u2 u3, max u2 u3, max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (instHMul.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (MulOneClass.toHasMul.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Monoid.toMulOneClass.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (DivInvMonoid.toMonoid.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Group.toDivInvMonoid.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.group.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4)))))) e e')) (Function.comp.{succ u2, succ u2, succ u2} P₁ P₁ P₁ (coeFn.{max (succ u2) (succ u3), succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) e) (coeFn.{max (succ u2) (succ u3), succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) e'))
 but is expected to have type
-  forall {k : Type.{u3}} {P₁ : Type.{u2}} {V₁ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u1} V₁] [_inst_3 : Module.{u3, u1} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₁ _inst_2)] [_inst_4 : AddTorsor.{u1, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u1} V₁ _inst_2)] (e : AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (e' : AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4), Eq.{succ u2} (forall (ᾰ : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (instHMul.{max u2 u1} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (MulOneClass.toMul.{max u2 u1} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Monoid.toMulOneClass.{max u2 u1} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (DivInvMonoid.toMonoid.{max u2 u1} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Group.toDivInvMonoid.{max u2 u1} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.group.{u3, u2, u1} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4)))))) e e')) (Function.comp.{succ u2, succ u2, succ u2} P₁ P₁ P₁ (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) e) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) e'))
+  forall {k : Type.{u3}} {P₁ : Type.{u2}} {V₁ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u1} V₁] [_inst_3 : Module.{u3, u1} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₁ _inst_2)] [_inst_4 : AddTorsor.{u1, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u1} V₁ _inst_2)] (e : AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (e' : AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4), Eq.{succ u2} (forall (ᾰ : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (instHMul.{max u2 u1} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (MulOneClass.toMul.{max u2 u1} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Monoid.toMulOneClass.{max u2 u1} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (DivInvMonoid.toMonoid.{max u2 u1} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Group.toDivInvMonoid.{max u2 u1} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.group.{u3, u2, u1} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4)))))) e e')) (Function.comp.{succ u2, succ u2, succ u2} P₁ P₁ P₁ (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) e) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) e'))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_mul AffineEquiv.coe_mulₓ'. -/
 @[simp]
 theorem coe_mul (e e' : P₁ ≃ᵃ[k] P₁) : ⇑(e * e') = e ∘ e' :=
@@ -814,7 +814,7 @@ def constVSub (p : P₁) : P₁ ≃ᵃ[k] V₁
 lean 3 declaration is
   forall (k : Type.{u1}) {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] (p : P₁), Eq.{max (succ u2) (succ u3)} (P₁ -> V₁) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u3, u3} k P₁ V₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) (fun (_x : AffineEquiv.{u1, u2, u3, u3, u3} k P₁ V₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) => P₁ -> V₁) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u3, u3} k P₁ V₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) (AffineEquiv.constVSub.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 p)) (VSub.vsub.{u3, u2} V₁ P₁ (AddTorsor.toHasVsub.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2) _inst_4) p)
 but is expected to have type
-  forall (k : Type.{u1}) {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (p : P₁), Eq.{max (succ u3) (succ u2)} (forall (ᾰ : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => V₁) ᾰ) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (AffineEquiv.{u1, u3, u2, u2, u2} k P₁ V₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => V₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u2} (AffineEquiv.{u1, u3, u2, u2, u2} k P₁ V₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) P₁ V₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u2} (AffineEquiv.{u1, u3, u2, u2, u2} k P₁ V₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) P₁ V₁ (AffineEquiv.equivLike.{u1, u3, u2, u2, u2} k P₁ V₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))))) (AffineEquiv.constVSub.{u1, u3, u2} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 p)) ((fun (x._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.6944 : P₁) (x._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.6946 : P₁) => VSub.vsub.{u2, u3} V₁ P₁ (AddTorsor.toVSub.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4) x._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.6944 x._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.6946) p)
+  forall (k : Type.{u1}) {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (p : P₁), Eq.{max (succ u3) (succ u2)} (forall (ᾰ : P₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => V₁) ᾰ) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (AffineEquiv.{u1, u3, u2, u2, u2} k P₁ V₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => V₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u2} (AffineEquiv.{u1, u3, u2, u2, u2} k P₁ V₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) P₁ V₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u2} (AffineEquiv.{u1, u3, u2, u2, u2} k P₁ V₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) P₁ V₁ (AffineEquiv.equivLike.{u1, u3, u2, u2, u2} k P₁ V₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))))) (AffineEquiv.constVSub.{u1, u3, u2} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 p)) ((fun (x._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.6943 : P₁) (x._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.6945 : P₁) => VSub.vsub.{u2, u3} V₁ P₁ (AddTorsor.toVSub.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4) x._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.6943 x._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.6945) p)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_const_vsub AffineEquiv.coe_constVSubₓ'. -/
 @[simp]
 theorem coe_constVSub (p : P₁) : ⇑(constVSub k p) = (· -ᵥ ·) p :=
@@ -825,7 +825,7 @@ theorem coe_constVSub (p : P₁) : ⇑(constVSub k p) = (· -ᵥ ·) p :=
 lean 3 declaration is
   forall (k : Type.{u1}) {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] (p : P₁), Eq.{max (succ u3) (succ u2)} (V₁ -> P₁) (coeFn.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (AffineEquiv.{u1, u3, u2, u3, u3} k V₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)) _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u3, u2, u3, u3} k V₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)) _inst_2 _inst_3 _inst_4) => V₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u3, u2, u3, u3} k V₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)) _inst_2 _inst_3 _inst_4) (AffineEquiv.symm.{u1, u2, u3, u3, u3} k P₁ V₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)) (AffineEquiv.constVSub.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 p))) (fun (v : V₁) => VAdd.vadd.{u3, u2} V₁ P₁ (AddAction.toHasVadd.{u3, u2} V₁ P₁ (SubNegMonoid.toAddMonoid.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) (AddTorsor.toAddAction.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2) _inst_4)) (Neg.neg.{u3} V₁ (SubNegMonoid.toHasNeg.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) v) p)
 but is expected to have type
-  forall (k : Type.{u1}) {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (p : P₁), Eq.{max (succ u3) (succ u2)} (forall (ᾰ : V₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : V₁) => P₁) ᾰ) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (AffineEquiv.{u1, u2, u3, u2, u2} k V₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_2 _inst_3 _inst_4) V₁ (fun (_x : V₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : V₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u3), succ u2, succ u3} (AffineEquiv.{u1, u2, u3, u2, u2} k V₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_2 _inst_3 _inst_4) V₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u3), succ u2, succ u3} (AffineEquiv.{u1, u2, u3, u2, u2} k V₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_2 _inst_3 _inst_4) V₁ P₁ (AffineEquiv.equivLike.{u1, u2, u3, u2, u2} k V₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_2 _inst_3 _inst_4))) (AffineEquiv.symm.{u1, u3, u2, u2, u2} k P₁ V₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) (AffineEquiv.constVSub.{u1, u3, u2} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 p))) (fun (v : V₁) => HVAdd.hVAdd.{u2, u3, u3} V₁ P₁ P₁ (instHVAdd.{u2, u3} V₁ P₁ (AddAction.toVAdd.{u2, u3} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) (Neg.neg.{u2} V₁ (NegZeroClass.toNeg.{u2} V₁ (SubNegZeroMonoid.toNegZeroClass.{u2} V₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} V₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} V₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} V₁ _inst_2))))) v) p)
+  forall (k : Type.{u1}) {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (p : P₁), Eq.{max (succ u3) (succ u2)} (forall (ᾰ : V₁), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : V₁) => P₁) ᾰ) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (AffineEquiv.{u1, u2, u3, u2, u2} k V₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_2 _inst_3 _inst_4) V₁ (fun (_x : V₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : V₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u3), succ u2, succ u3} (AffineEquiv.{u1, u2, u3, u2, u2} k V₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_2 _inst_3 _inst_4) V₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u3), succ u2, succ u3} (AffineEquiv.{u1, u2, u3, u2, u2} k V₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_2 _inst_3 _inst_4) V₁ P₁ (AffineEquiv.equivLike.{u1, u2, u3, u2, u2} k V₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_2 _inst_3 _inst_4))) (AffineEquiv.symm.{u1, u3, u2, u2, u2} k P₁ V₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) (AffineEquiv.constVSub.{u1, u3, u2} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 p))) (fun (v : V₁) => HVAdd.hVAdd.{u2, u3, u3} V₁ P₁ P₁ (instHVAdd.{u2, u3} V₁ P₁ (AddAction.toVAdd.{u2, u3} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) (Neg.neg.{u2} V₁ (NegZeroClass.toNeg.{u2} V₁ (SubNegZeroMonoid.toNegZeroClass.{u2} V₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} V₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} V₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} V₁ _inst_2))))) v) p)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_const_vsub_symm AffineEquiv.coe_constVSub_symmₓ'. -/
 @[simp]
 theorem coe_constVSub_symm (p : P₁) : ⇑(constVSub k p).symm = fun v => -v +ᵥ p :=
@@ -937,7 +937,7 @@ def homothetyUnitsMulHom (p : P) : Rˣ →* P ≃ᵃ[R] P :=
 lean 3 declaration is
   forall {R : Type.{u1}} {V : Type.{u2}} {P : Type.{u3}} [_inst_14 : CommRing.{u1} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u1, u2} R V (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u3} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)] (p : P) (t : Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))), Eq.{succ u3} ((fun (_x : AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (coeFn.{max (succ (max u3 u2)) (succ u1), max (succ u1) (succ (max u3 u2))} (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (fun (_x : MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t)) (coeFn.{max (succ u3) (succ u2), succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (fun (_x : AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineEquiv.hasCoeToFun.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (coeFn.{max (succ (max u3 u2)) (succ u1), max (succ u1) (succ (max u3 u2))} (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (fun (_x : MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V 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p ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (HasLiftT.mk.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (CoeTCₓ.coe.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (coeBase.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (Units.hasCoe.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14)))))) t)))
 but is expected to have type
-  forall {R : Type.{u3}} {V : Type.{u1}} {P : Type.{u2}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u1} V] [_inst_16 : Module.{u3, u1} R V (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_15)] [_inst_17 : AddTorsor.{u1, u2} V P (AddCommGroup.toAddGroup.{u1} V _inst_15)] (p : P) (t : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))), Eq.{succ u2} (forall (a : P), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17))) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u3, max (succ u1) (succ u2)} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (fun (_x : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) => AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) _x) (MulHomClass.toFunLike.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulOneClass.toMul.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))))) (MulOneClass.toMul.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (MonoidHomClass.toMulHomClass.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17)))) (MonoidHom.monoidHomClass.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))))) (AffineEquiv.homothetyUnitsMulHom.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u2} (AffineMap.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_17 _inst_16 p (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))) t)))
+  forall {R : Type.{u3}} {V : Type.{u1}} {P : Type.{u2}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u1} V] [_inst_16 : Module.{u3, u1} R V (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_15)] [_inst_17 : AddTorsor.{u1, u2} V P (AddCommGroup.toAddGroup.{u1} V _inst_15)] (p : P) (t : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))), Eq.{succ u2} (forall (a : P), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P) => P) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P) => P) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17))) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u3, max (succ u1) (succ u2)} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (fun (_x : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) => AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) _x) (MulHomClass.toFunLike.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulOneClass.toMul.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))))) (MulOneClass.toMul.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (MonoidHomClass.toMulHomClass.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17)))) (MonoidHom.monoidHomClass.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))))) (AffineEquiv.homothetyUnitsMulHom.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u2} (AffineMap.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P) => P) _x) (AffineMap.funLike.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_17 _inst_16 p (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))) t)))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_homothety_units_mul_hom_apply AffineEquiv.coe_homothetyUnitsMulHom_applyₓ'. -/
 @[simp]
 theorem coe_homothetyUnitsMulHom_apply (p : P) (t : Rˣ) :
@@ -949,7 +949,7 @@ theorem coe_homothetyUnitsMulHom_apply (p : P) (t : Rˣ) :
 lean 3 declaration is
   forall {R : Type.{u1}} {V : Type.{u2}} {P : Type.{u3}} [_inst_14 : CommRing.{u1} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u1, u2} R V (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u3} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)] (p : P) (t : Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))), Eq.{succ u3} ((fun (_x : AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineEquiv.symm.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17 (coeFn.{max (succ (max u3 u2)) (succ u1), max (succ u1) (succ (max u3 u2))} (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (fun (_x : MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t))) (coeFn.{max (succ u3) (succ u2), succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (fun (_x : AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineEquiv.hasCoeToFun.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.symm.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17 (coeFn.{max (succ (max u3 u2)) (succ u1), max (succ u1) (succ (max u3 u2))} (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (fun (_x : MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t))) (coeFn.{max (succ u2) (succ u3), succ u3} (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (fun (_x : AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineMap.hasCoeToFun.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_17 _inst_16 p ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (HasLiftT.mk.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (CoeTCₓ.coe.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (coeBase.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (Units.hasCoe.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14)))))) (Inv.inv.{u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Units.hasInv.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) t))))
 but is expected to have type
-  forall {R : Type.{u3}} {V : Type.{u1}} {P : Type.{u2}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u1} V] [_inst_16 : Module.{u3, u1} R V (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_15)] [_inst_17 : AddTorsor.{u1, u2} V P (AddCommGroup.toAddGroup.{u1} V _inst_15)] (p : P) (t : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))), Eq.{succ u2} (forall (a : P), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17))) (AffineEquiv.symm.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17 (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u3, max (succ u1) (succ u2)} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (fun (_x : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) => AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) _x) (MulHomClass.toFunLike.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulOneClass.toMul.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))))) (MulOneClass.toMul.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (MonoidHomClass.toMulHomClass.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17)))) (MonoidHom.monoidHomClass.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))))) (AffineEquiv.homothetyUnitsMulHom.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u2} (AffineMap.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_17 _inst_16 p (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))) (Inv.inv.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Units.instInv.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) t))))
+  forall {R : Type.{u3}} {V : Type.{u1}} {P : Type.{u2}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u1} V] [_inst_16 : Module.{u3, u1} R V (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_15)] [_inst_17 : AddTorsor.{u1, u2} V P (AddCommGroup.toAddGroup.{u1} V _inst_15)] (p : P) (t : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))), Eq.{succ u2} (forall (a : P), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P) => P) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P) => P) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17))) (AffineEquiv.symm.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17 (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u3, max (succ u1) (succ u2)} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (fun (_x : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) => AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) _x) (MulHomClass.toFunLike.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulOneClass.toMul.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))))) (MulOneClass.toMul.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (MonoidHomClass.toMulHomClass.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17)))) (MonoidHom.monoidHomClass.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))))) (AffineEquiv.homothetyUnitsMulHom.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u2} (AffineMap.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P) => P) _x) (AffineMap.funLike.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_17 _inst_16 p (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))) (Inv.inv.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Units.instInv.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) t))))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_homothety_units_mul_hom_apply_symm AffineEquiv.coe_homothetyUnitsMulHom_apply_symmₓ'. -/
 @[simp]
 theorem coe_homothetyUnitsMulHom_apply_symm (p : P) (t : Rˣ) :
@@ -987,7 +987,7 @@ def pointReflection (x : P₁) : P₁ ≃ᵃ[k] P₁ :=
 lean 3 declaration is
   forall (k : Type.{u1}) {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] (x : P₁) (y : P₁), Eq.{succ u2} P₁ (coeFn.{max (succ u2) (succ u3), succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.pointReflection.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y) (VAdd.vadd.{u3, u2} V₁ P₁ (AddAction.toHasVadd.{u3, u2} V₁ P₁ (SubNegMonoid.toAddMonoid.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) (AddTorsor.toAddAction.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2) _inst_4)) (VSub.vsub.{u3, u2} V₁ P₁ (AddTorsor.toHasVsub.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2) _inst_4) x y) x)
 but is expected to have type
-  forall (k : Type.{u1}) {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (x : P₁) (y : P₁), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) y) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.pointReflection.{u1, u3, u2} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y) (HVAdd.hVAdd.{u2, u3, u3} V₁ P₁ P₁ (instHVAdd.{u2, u3} V₁ P₁ (AddAction.toVAdd.{u2, u3} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) (VSub.vsub.{u2, u3} V₁ P₁ (AddTorsor.toVSub.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4) x y) x)
+  forall (k : Type.{u1}) {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (x : P₁) (y : P₁), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) y) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.pointReflection.{u1, u3, u2} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y) (HVAdd.hVAdd.{u2, u3, u3} V₁ P₁ P₁ (instHVAdd.{u2, u3} V₁ P₁ (AddAction.toVAdd.{u2, u3} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) (VSub.vsub.{u2, u3} V₁ P₁ (AddTorsor.toVSub.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4) x y) x)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.point_reflection_apply AffineEquiv.pointReflection_applyₓ'. -/
 theorem pointReflection_apply (x y : P₁) : pointReflection k x y = x -ᵥ y +ᵥ x :=
   rfl
@@ -1020,7 +1020,7 @@ theorem toEquiv_pointReflection (x : P₁) :
 lean 3 declaration is
   forall (k : Type.{u1}) {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] (x : P₁), Eq.{succ u2} P₁ (coeFn.{max (succ u2) (succ u3), succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.pointReflection.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) x) x
 but is expected to have type
-  forall (k : Type.{u1}) {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (x : P₁), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.pointReflection.{u1, u3, u2} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) x) x
+  forall (k : Type.{u1}) {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (x : P₁), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.pointReflection.{u1, u3, u2} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) x) x
 Case conversion may be inaccurate. Consider using '#align affine_equiv.point_reflection_self AffineEquiv.pointReflection_selfₓ'. -/
 @[simp]
 theorem pointReflection_self (x : P₁) : pointReflection k x x = x :=
@@ -1031,7 +1031,7 @@ theorem pointReflection_self (x : P₁) : pointReflection k x x = x :=
 lean 3 declaration is
   forall (k : Type.{u1}) {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] (x : P₁), Function.Involutive.{succ u2} P₁ (coeFn.{max (succ u2) (succ u3), succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.pointReflection.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x))
 but is expected to have type
-  forall (k : Type.{u1}) {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (x : P₁), Function.Involutive.{succ u3} P₁ (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.pointReflection.{u1, u3, u2} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x))
+  forall (k : Type.{u1}) {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (x : P₁), Function.Involutive.{succ u3} P₁ (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u3, u3, u2, u2} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.pointReflection.{u1, u3, u2} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.point_reflection_involutive AffineEquiv.pointReflection_involutiveₓ'. -/
 theorem pointReflection_involutive (x : P₁) : Involutive (pointReflection k x : P₁ → P₁) :=
   Equiv.pointReflection_involutive x
@@ -1041,7 +1041,7 @@ theorem pointReflection_involutive (x : P₁) : Involutive (pointReflection k x
 lean 3 declaration is
   forall (k : Type.{u1}) {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] {x : P₁} {y : P₁}, (Function.Injective.{succ u3, succ u3} V₁ V₁ (bit0.{u3} V₁ (AddZeroClass.toHasAdd.{u3} V₁ (AddMonoid.toAddZeroClass.{u3} V₁ (SubNegMonoid.toAddMonoid.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))))))) -> (Iff (Eq.{succ u2} P₁ (coeFn.{max (succ u2) (succ u3), succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.pointReflection.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y) y) (Eq.{succ u2} P₁ y x))
 but is expected to have type
-  forall (k : Type.{u1}) {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] {x : P₁} {y : P₁}, (Function.Injective.{succ u3, succ u3} V₁ V₁ (bit0.{u3} V₁ (AddZeroClass.toAdd.{u3} V₁ (AddMonoid.toAddZeroClass.{u3} V₁ (SubNegMonoid.toAddMonoid.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))))))) -> (Iff (Eq.{succ u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) y) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u3), succ u2, succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u3), succ u2, succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.pointReflection.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y) y) (Eq.{succ u2} P₁ y x))
+  forall (k : Type.{u1}) {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] {x : P₁} {y : P₁}, (Function.Injective.{succ u3, succ u3} V₁ V₁ (bit0.{u3} V₁ (AddZeroClass.toAdd.{u3} V₁ (AddMonoid.toAddZeroClass.{u3} V₁ (SubNegMonoid.toAddMonoid.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))))))) -> (Iff (Eq.{succ u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) y) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u3), succ u2, succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u3), succ u2, succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.pointReflection.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y) y) (Eq.{succ u2} P₁ y x))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.point_reflection_fixed_iff_of_injective_bit0 AffineEquiv.pointReflection_fixed_iff_of_injective_bit0ₓ'. -/
 /-- `x` is the only fixed point of `point_reflection x`. This lemma requires
 `x + x = y + y ↔ x = y`. There is no typeclass to use here, so we add it as an explicit argument. -/
@@ -1054,7 +1054,7 @@ theorem pointReflection_fixed_iff_of_injective_bit0 {x y : P₁} (h : Injective
 lean 3 declaration is
   forall (k : Type.{u1}) {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)], (Function.Injective.{succ u3, succ u3} V₁ V₁ (bit0.{u3} V₁ (AddZeroClass.toHasAdd.{u3} V₁ (AddMonoid.toAddZeroClass.{u3} V₁ (SubNegMonoid.toAddMonoid.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))))))) -> (forall (y : P₁), Function.Injective.{succ u2, succ u2} P₁ P₁ (fun (x : P₁) => coeFn.{max (succ u2) (succ u3), succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.pointReflection.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y))
 but is expected to have type
-  forall (k : Type.{u1}) {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)], (Function.Injective.{succ u3, succ u3} V₁ V₁ (bit0.{u3} V₁ (AddZeroClass.toAdd.{u3} V₁ (AddMonoid.toAddZeroClass.{u3} V₁ (SubNegMonoid.toAddMonoid.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))))))) -> (forall (y : P₁), Function.Injective.{succ u2, succ u2} P₁ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) y) (fun (x : P₁) => FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u3), succ u2, succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u3), succ u2, succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.pointReflection.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y))
+  forall (k : Type.{u1}) {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)], (Function.Injective.{succ u3, succ u3} V₁ V₁ (bit0.{u3} V₁ (AddZeroClass.toAdd.{u3} V₁ (AddMonoid.toAddZeroClass.{u3} V₁ (SubNegMonoid.toAddMonoid.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))))))) -> (forall (y : P₁), Function.Injective.{succ u2, succ u2} P₁ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) y) (fun (x : P₁) => FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u3), succ u2, succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u3), succ u2, succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.pointReflection.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.injective_point_reflection_left_of_injective_bit0 AffineEquiv.injective_pointReflection_left_of_injective_bit0ₓ'. -/
 theorem injective_pointReflection_left_of_injective_bit0 (h : Injective (bit0 : V₁ → V₁)) (y : P₁) :
     Injective fun x : P₁ => pointReflection k x y :=
@@ -1065,7 +1065,7 @@ theorem injective_pointReflection_left_of_injective_bit0 (h : Injective (bit0 :
 lean 3 declaration is
   forall (k : Type.{u1}) {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] [_inst_14 : Invertible.{u1} k (Distrib.toHasMul.{u1} k (Ring.toDistrib.{u1} k _inst_1)) (AddMonoidWithOne.toOne.{u1} k (AddGroupWithOne.toAddMonoidWithOne.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) (OfNat.ofNat.{u1} k 2 (OfNat.mk.{u1} k 2 (bit0.{u1} k (Distrib.toHasAdd.{u1} k (Ring.toDistrib.{u1} k _inst_1)) (One.one.{u1} k (AddMonoidWithOne.toOne.{u1} k (AddGroupWithOne.toAddMonoidWithOne.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1))))))))] (y : P₁), Function.Injective.{succ u2, succ u2} P₁ P₁ (fun (x : P₁) => coeFn.{max (succ u2) (succ u3), succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.pointReflection.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y)
 but is expected to have type
-  forall (k : Type.{u3}) {P₁ : Type.{u2}} {V₁ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u1} V₁] [_inst_3 : Module.{u3, u1} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₁ _inst_2)] [_inst_4 : AddTorsor.{u1, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u1} V₁ _inst_2)] [_inst_14 : Invertible.{u3} k (NonUnitalNonAssocRing.toMul.{u3} k (NonUnitalRing.toNonUnitalNonAssocRing.{u3} k (Ring.toNonUnitalRing.{u3} k _inst_1))) (Semiring.toOne.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (OfNat.ofNat.{u3} k 2 (instOfNat.{u3} k 2 (Semiring.toNatCast.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (y : P₁), Function.Injective.{succ u2, succ u2} P₁ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) y) (fun (x : P₁) => FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.pointReflection.{u3, u2, u1} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y)
+  forall (k : Type.{u3}) {P₁ : Type.{u2}} {V₁ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u1} V₁] [_inst_3 : Module.{u3, u1} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₁ _inst_2)] [_inst_4 : AddTorsor.{u1, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u1} V₁ _inst_2)] [_inst_14 : Invertible.{u3} k (NonUnitalNonAssocRing.toMul.{u3} k (NonAssocRing.toNonUnitalNonAssocRing.{u3} k (Ring.toNonAssocRing.{u3} k _inst_1))) (Semiring.toOne.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (OfNat.ofNat.{u3} k 2 (instOfNat.{u3} k 2 (Semiring.toNatCast.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (y : P₁), Function.Injective.{succ u2, succ u2} P₁ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) y) (fun (x : P₁) => FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.pointReflection.{u3, u2, u1} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.injective_point_reflection_left_of_module AffineEquiv.injective_pointReflection_left_of_moduleₓ'. -/
 theorem injective_pointReflection_left_of_module [Invertible (2 : k)] :
     ∀ y, Injective fun x : P₁ => pointReflection k x y :=
@@ -1078,7 +1078,7 @@ theorem injective_pointReflection_left_of_module [Invertible (2 : k)] :
 lean 3 declaration is
   forall (k : Type.{u1}) {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] [_inst_14 : Invertible.{u1} k (Distrib.toHasMul.{u1} k (Ring.toDistrib.{u1} k _inst_1)) (AddMonoidWithOne.toOne.{u1} k (AddGroupWithOne.toAddMonoidWithOne.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) (OfNat.ofNat.{u1} k 2 (OfNat.mk.{u1} k 2 (bit0.{u1} k (Distrib.toHasAdd.{u1} k (Ring.toDistrib.{u1} k _inst_1)) (One.one.{u1} k (AddMonoidWithOne.toOne.{u1} k (AddGroupWithOne.toAddMonoidWithOne.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1))))))))] {x : P₁} {y : P₁}, Iff (Eq.{succ u2} P₁ (coeFn.{max (succ u2) (succ u3), succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.pointReflection.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y) y) (Eq.{succ u2} P₁ y x)
 but is expected to have type
-  forall (k : Type.{u3}) {P₁ : Type.{u2}} {V₁ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u1} V₁] [_inst_3 : Module.{u3, u1} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₁ _inst_2)] [_inst_4 : AddTorsor.{u1, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u1} V₁ _inst_2)] [_inst_14 : Invertible.{u3} k (NonUnitalNonAssocRing.toMul.{u3} k (NonUnitalRing.toNonUnitalNonAssocRing.{u3} k (Ring.toNonUnitalRing.{u3} k _inst_1))) (Semiring.toOne.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (OfNat.ofNat.{u3} k 2 (instOfNat.{u3} k 2 (Semiring.toNatCast.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] {x : P₁} {y : P₁}, Iff (Eq.{succ u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) y) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.pointReflection.{u3, u2, u1} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y) y) (Eq.{succ u2} P₁ y x)
+  forall (k : Type.{u3}) {P₁ : Type.{u2}} {V₁ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u1} V₁] [_inst_3 : Module.{u3, u1} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₁ _inst_2)] [_inst_4 : AddTorsor.{u1, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u1} V₁ _inst_2)] [_inst_14 : Invertible.{u3} k (NonUnitalNonAssocRing.toMul.{u3} k (NonAssocRing.toNonUnitalNonAssocRing.{u3} k (Ring.toNonAssocRing.{u3} k _inst_1))) (Semiring.toOne.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (OfNat.ofNat.{u3} k 2 (instOfNat.{u3} k 2 (Semiring.toNatCast.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] {x : P₁} {y : P₁}, Iff (Eq.{succ u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) y) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.pointReflection.{u3, u2, u1} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y) y) (Eq.{succ u2} P₁ y x)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.point_reflection_fixed_iff_of_module AffineEquiv.pointReflection_fixed_iff_of_moduleₓ'. -/
 theorem pointReflection_fixed_iff_of_module [Invertible (2 : k)] {x y : P₁} :
     pointReflection k x y = y ↔ y = x :=
@@ -1103,7 +1103,7 @@ def toAffineEquiv (e : V₁ ≃ₗ[k] V₂) : V₁ ≃ᵃ[k] V₂
 lean 3 declaration is
   forall {k : Type.{u1}} {V₁ : Type.{u2}} {V₂ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u3} V₂] [_inst_6 : Module.{u1, u3} k V₂ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_5)] (e : LinearEquiv.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_5) _inst_3 _inst_6), Eq.{max (succ u2) (succ u3)} (V₁ -> V₂) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AffineEquiv.{u1, u2, u3, u2, u3} k V₁ V₂ V₁ V₂ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_5 _inst_6 (addGroupIsAddTorsor.{u3} V₂ (AddCommGroup.toAddGroup.{u3} V₂ _inst_5))) (fun (_x : AffineEquiv.{u1, u2, u3, u2, u3} k V₁ V₂ V₁ V₂ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_5 _inst_6 (addGroupIsAddTorsor.{u3} V₂ (AddCommGroup.toAddGroup.{u3} V₂ _inst_5))) => V₁ -> V₂) (AffineEquiv.hasCoeToFun.{u1, u2, u3, u2, u3} k V₁ V₂ V₁ V₂ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) _inst_5 _inst_6 (addGroupIsAddTorsor.{u3} V₂ (AddCommGroup.toAddGroup.{u3} V₂ _inst_5))) (LinearEquiv.toAffineEquiv.{u1, u2, u3} k V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 e)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearEquiv.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearEquiv.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_5) _inst_3 _inst_6) => V₁ -> V₂) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u3} k k V₁ V₂ (Ring.toSemiring.{u1} k _inst_1) (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u3} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k _inst_1))) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (RingHomInvPair.ids.{u1} k (Ring.toSemiring.{u1} k _inst_1))) e)
 but is expected to have type
-  forall {k : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] (e : LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6), Eq.{max (succ u2) (succ u1)} (forall (ᾰ : V₁), (fun 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+  forall {k : Type.{u3}} {V₁ : Type.{u2}} {V₂ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_5 : AddCommGroup.{u1} V₂] [_inst_6 : Module.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)] (e : LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6), Eq.{max (succ u2) (succ u1)} (forall (ᾰ : V₁), (fun 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(AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_6)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) k V₁ V₂ (MonoidWithZero.toMonoid.{u3} k (Semiring.toMonoidWithZero.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (AddCommMonoid.toAddMonoid.{u2} V₁ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)) (AddCommMonoid.toAddMonoid.{u1} V₂ (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5)) (Module.toDistribMulAction.{u3, u2} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) _inst_3) (Module.toDistribMulAction.{u3, u1} k V₂ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_6) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} k k V₁ V₂ (LinearEquiv.{u3, u3, u2, u1} k k (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) V₁ V₂ (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} k k V₁ V₂ (Ring.toSemiring.{u3} k _inst_1) (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} V₂ _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k _inst_1))) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (RingHomInvPair.ids.{u3} k (Ring.toSemiring.{u3} k _inst_1))))))) e)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_affine_equiv LinearEquiv.coe_toAffineEquivₓ'. -/
 @[simp]
 theorem coe_toAffineEquiv (e : V₁ ≃ₗ[k] V₂) : ⇑e.toAffineEquiv = e :=
@@ -1122,7 +1122,7 @@ include V₁
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] (v : V₁) (v' : V₁) (p : P₁) (c : k), Eq.{succ u2} P₁ (VAdd.vadd.{u3, u2} V₁ P₁ (AddAction.toHasVadd.{u3, u2} V₁ P₁ (SubNegMonoid.toAddMonoid.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) (AddTorsor.toAddAction.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2) _inst_4)) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AffineMap.{u1, u1, u1, u3, u3} k k k V₁ V₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) (fun (_x : AffineMap.{u1, u1, u1, u3, u3} k k k V₁ V₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) => k -> V₁) (AffineMap.hasCoeToFun.{u1, u1, u1, u3, u3} k k k V₁ V₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) (AffineMap.lineMap.{u1, u3, u3} k V₁ V₁ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)) v v') c) p) (coeFn.{max (succ u1) (succ u3) (succ u2), max (succ u1) (succ u2)} (AffineMap.{u1, u1, u1, u3, u2} k k k V₁ P₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 _inst_4) (fun (_x : AffineMap.{u1, u1, u1, u3, u2} k k k V₁ P₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 _inst_4) => k -> P₁) (AffineMap.hasCoeToFun.{u1, u1, u1, u3, u2} k k k V₁ P₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 _inst_4) (AffineMap.lineMap.{u1, u3, u2} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 (VAdd.vadd.{u3, u2} V₁ P₁ (AddAction.toHasVadd.{u3, u2} V₁ P₁ (SubNegMonoid.toAddMonoid.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) (AddTorsor.toAddAction.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2) _inst_4)) v p) (VAdd.vadd.{u3, u2} V₁ P₁ (AddAction.toHasVadd.{u3, u2} V₁ P₁ (SubNegMonoid.toAddMonoid.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) (AddTorsor.toAddAction.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2) _inst_4)) v' p)) c)
 but is expected to have type
-  forall {k : Type.{u1}} {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (v : V₁) (v' : V₁) (p : P₁) (c : k), Eq.{succ u3} P₁ (HVAdd.hVAdd.{u2, u3, u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) c) P₁ P₁ (instHVAdd.{u2, u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) c) P₁ (AddAction.toVAdd.{u2, u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) c) P₁ (SubNegMonoid.toAddMonoid.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) c) (AddGroup.toSubNegMonoid.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) c) (AddCommGroup.toAddGroup.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) c) _inst_2))) (AddTorsor.toAddAction.{u2, u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) c) P₁ (AddCommGroup.toAddGroup.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) c) _inst_2) _inst_4))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (AffineMap.{u1, u1, u1, u2, u2} k k k V₁ V₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k _inst_1) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) _x) (AffineMap.funLike.{u1, u1, u1, u2, u2} k k k V₁ V₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k _inst_1) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AffineMap.lineMap.{u1, u2, u2} k V₁ V₁ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) v v') c) p) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u1, succ u3} (AffineMap.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k _inst_1) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) _x) (AffineMap.funLike.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k _inst_1) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) (AffineMap.lineMap.{u1, u2, u3} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 (HVAdd.hVAdd.{u2, u3, u3} V₁ P₁ P₁ (instHVAdd.{u2, u3} V₁ P₁ (AddAction.toVAdd.{u2, u3} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v p) (HVAdd.hVAdd.{u2, u3, u3} V₁ P₁ P₁ (instHVAdd.{u2, u3} V₁ P₁ (AddAction.toVAdd.{u2, u3} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v' p)) c)
+  forall {k : Type.{u1}} {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (v : V₁) (v' : V₁) (p : P₁) (c : k), Eq.{succ u3} P₁ (HVAdd.hVAdd.{u2, u3, u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => V₁) c) P₁ P₁ (instHVAdd.{u2, u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => V₁) c) P₁ (AddAction.toVAdd.{u2, u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => V₁) c) P₁ (SubNegMonoid.toAddMonoid.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => V₁) c) (AddGroup.toSubNegMonoid.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => V₁) c) (AddCommGroup.toAddGroup.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => V₁) c) _inst_2))) (AddTorsor.toAddAction.{u2, u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => V₁) c) P₁ (AddCommGroup.toAddGroup.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => V₁) c) _inst_2) _inst_4))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (AffineMap.{u1, u1, u1, u2, u2} k k k V₁ V₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => V₁) _x) (AffineMap.funLike.{u1, u1, u1, u2, u2} k k k V₁ V₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AffineMap.lineMap.{u1, u2, u2} k V₁ V₁ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) v v') c) p) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u1, succ u3} (AffineMap.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => P₁) _x) (AffineMap.funLike.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) (AffineMap.lineMap.{u1, u2, u3} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 (HVAdd.hVAdd.{u2, u3, u3} V₁ P₁ P₁ (instHVAdd.{u2, u3} V₁ P₁ (AddAction.toVAdd.{u2, u3} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v p) (HVAdd.hVAdd.{u2, u3, u3} V₁ P₁ P₁ (instHVAdd.{u2, u3} V₁ P₁ (AddAction.toVAdd.{u2, u3} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v' p)) c)
 Case conversion may be inaccurate. Consider using '#align affine_map.line_map_vadd AffineMap.lineMap_vaddₓ'. -/
 theorem lineMap_vadd (v v' : V₁) (p : P₁) (c : k) :
     lineMap v v' c +ᵥ p = lineMap (v +ᵥ p) (v' +ᵥ p) c :=
@@ -1147,7 +1147,7 @@ theorem vsub_lineMap (p₁ p₂ p₃ : P₁) (c : k) :
 lean 3 declaration is
   forall {k : Type.{u1}} {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] (v : V₁) (p₁ : P₁) (p₂ : P₁) (c : k), Eq.{succ u2} P₁ (VAdd.vadd.{u3, u2} V₁ P₁ (AddAction.toHasVadd.{u3, u2} V₁ P₁ (SubNegMonoid.toAddMonoid.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) (AddTorsor.toAddAction.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2) _inst_4)) v (coeFn.{max (succ u1) (succ u3) (succ u2), max (succ u1) (succ u2)} (AffineMap.{u1, u1, u1, u3, u2} k k k V₁ P₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 _inst_4) (fun (_x : AffineMap.{u1, u1, u1, u3, u2} k k k V₁ P₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 _inst_4) => k -> P₁) (AffineMap.hasCoeToFun.{u1, u1, u1, u3, u2} k k k V₁ P₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 _inst_4) (AffineMap.lineMap.{u1, u3, u2} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 p₁ p₂) c)) (coeFn.{max (succ u1) (succ u3) (succ u2), max (succ u1) (succ u2)} (AffineMap.{u1, u1, u1, u3, u2} k k k V₁ P₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 _inst_4) (fun (_x : AffineMap.{u1, u1, u1, u3, u2} k k k V₁ P₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 _inst_4) => k -> P₁) (AffineMap.hasCoeToFun.{u1, u1, u1, u3, u2} k k k V₁ P₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 _inst_4) (AffineMap.lineMap.{u1, u3, u2} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 (VAdd.vadd.{u3, u2} V₁ P₁ (AddAction.toHasVadd.{u3, u2} V₁ P₁ (SubNegMonoid.toAddMonoid.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) (AddTorsor.toAddAction.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2) _inst_4)) v p₁) (VAdd.vadd.{u3, u2} V₁ P₁ (AddAction.toHasVadd.{u3, u2} V₁ P₁ (SubNegMonoid.toAddMonoid.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) (AddTorsor.toAddAction.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2) _inst_4)) v p₂)) c)
 but is expected to have type
-  forall {k : Type.{u1}} {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (v : V₁) (p₁ : P₁) (p₂ : P₁) (c : k), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) c) (HVAdd.hVAdd.{u2, u3, u3} V₁ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) c) ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) c) (instHVAdd.{u2, u3} V₁ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) c) (AddAction.toVAdd.{u2, u3} V₁ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) c) (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) c) (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u1, succ u3} (AffineMap.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k _inst_1) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) _x) (AffineMap.funLike.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k _inst_1) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) (AffineMap.lineMap.{u1, u2, u3} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 p₁ p₂) c)) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u1, succ u3} (AffineMap.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k _inst_1) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) _x) (AffineMap.funLike.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k _inst_1) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) (AffineMap.lineMap.{u1, u2, u3} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 (HVAdd.hVAdd.{u2, u3, u3} V₁ P₁ P₁ (instHVAdd.{u2, u3} V₁ P₁ (AddAction.toVAdd.{u2, u3} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v p₁) (HVAdd.hVAdd.{u2, u3, u3} V₁ P₁ P₁ (instHVAdd.{u2, u3} V₁ P₁ (AddAction.toVAdd.{u2, u3} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v p₂)) c)
+  forall {k : Type.{u1}} {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (v : V₁) (p₁ : P₁) (p₂ : P₁) (c : k), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => P₁) c) (HVAdd.hVAdd.{u2, u3, u3} V₁ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => P₁) c) ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => P₁) c) (instHVAdd.{u2, u3} V₁ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => P₁) c) (AddAction.toVAdd.{u2, u3} V₁ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => P₁) c) (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => P₁) c) (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u1, succ u3} (AffineMap.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => P₁) _x) (AffineMap.funLike.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) (AffineMap.lineMap.{u1, u2, u3} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 p₁ p₂) c)) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u1, succ u3} (AffineMap.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => P₁) _x) (AffineMap.funLike.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) (AffineMap.lineMap.{u1, u2, u3} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 (HVAdd.hVAdd.{u2, u3, u3} V₁ P₁ P₁ (instHVAdd.{u2, u3} V₁ P₁ (AddAction.toVAdd.{u2, u3} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v p₁) (HVAdd.hVAdd.{u2, u3, u3} V₁ P₁ P₁ (instHVAdd.{u2, u3} V₁ P₁ (AddAction.toVAdd.{u2, u3} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v p₂)) c)
 Case conversion may be inaccurate. Consider using '#align affine_map.vadd_line_map AffineMap.vadd_lineMapₓ'. -/
 theorem vadd_lineMap (v : V₁) (p₁ p₂ : P₁) (c : k) :
     v +ᵥ lineMap p₁ p₂ c = lineMap (v +ᵥ p₁) (v +ᵥ p₂) c :=
@@ -1160,7 +1160,7 @@ variable {R' : Type _} [CommRing R'] [Module R' V₁]
 lean 3 declaration is
   forall {P₁ : Type.{u1}} {V₁ : Type.{u2}} [_inst_2 : AddCommGroup.{u2} V₁] [_inst_4 : AddTorsor.{u2, u1} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] {R' : Type.{u3}} [_inst_14 : CommRing.{u3} R'] [_inst_15 : Module.{u3, u2} R' V₁ (Ring.toSemiring.{u3} R' (CommRing.toRing.{u3} R' _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] (c : P₁) (p : P₁), Eq.{succ u1} P₁ (coeFn.{max (succ u2) (succ u1), succ u1} (AffineMap.{u3, u2, u1, u2, u1} R' V₁ P₁ V₁ P₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) (fun (_x : AffineMap.{u3, u2, u1, u2, u1} R' V₁ P₁ V₁ P₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) => P₁ -> P₁) (AffineMap.hasCoeToFun.{u3, u2, u1, u2, u1} R' V₁ P₁ V₁ P₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) (AffineMap.homothety.{u3, u2, u1} R' V₁ P₁ _inst_14 _inst_2 _inst_4 _inst_15 c (Neg.neg.{u3} R' (SubNegMonoid.toHasNeg.{u3} R' (AddGroup.toSubNegMonoid.{u3} R' (AddGroupWithOne.toAddGroup.{u3} R' (AddCommGroupWithOne.toAddGroupWithOne.{u3} R' (Ring.toAddCommGroupWithOne.{u3} R' (CommRing.toRing.{u3} R' _inst_14)))))) (OfNat.ofNat.{u3} R' 1 (OfNat.mk.{u3} R' 1 (One.one.{u3} R' (AddMonoidWithOne.toOne.{u3} R' (AddGroupWithOne.toAddMonoidWithOne.{u3} R' (AddCommGroupWithOne.toAddGroupWithOne.{u3} R' (Ring.toAddCommGroupWithOne.{u3} R' (CommRing.toRing.{u3} R' _inst_14)))))))))) p) (coeFn.{max (succ u1) (succ u2), succ u1} (AffineEquiv.{u3, u1, u1, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) (fun (_x : AffineEquiv.{u3, u1, u1, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u3, u1, u1, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) (AffineEquiv.pointReflection.{u3, u1, u2} R' P₁ V₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 c) p)
 but is expected to have type
-  forall {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_2 : AddCommGroup.{u2} V₁] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] {R' : Type.{u1}} [_inst_14 : CommRing.{u1} R'] [_inst_15 : Module.{u1, u2} R' V₁ (CommSemiring.toSemiring.{u1} R' (CommRing.toCommSemiring.{u1} R' _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] (c : P₁) (p : P₁), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P₁) => P₁) p) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u3} (AffineMap.{u1, u2, u3, u2, u3} R' V₁ P₁ V₁ P₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P₁) => P₁) _x) (AffineMap.funLike.{u1, u2, u3, u2, u3} R' V₁ P₁ V₁ P₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) (AffineMap.homothety.{u1, u2, u3} R' V₁ P₁ _inst_14 _inst_2 _inst_4 _inst_15 c (Neg.neg.{u1} R' (Ring.toNeg.{u1} R' (CommRing.toRing.{u1} R' _inst_14)) (OfNat.ofNat.{u1} R' 1 (One.toOfNat1.{u1} R' (Semiring.toOne.{u1} R' (CommSemiring.toSemiring.{u1} R' (CommRing.toCommSemiring.{u1} R' _inst_14))))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u3, u3, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4))) (AffineEquiv.pointReflection.{u1, u3, u2} R' P₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 c) p)
+  forall {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_2 : AddCommGroup.{u2} V₁] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] {R' : Type.{u1}} [_inst_14 : CommRing.{u1} R'] [_inst_15 : Module.{u1, u2} R' V₁ (CommSemiring.toSemiring.{u1} R' (CommRing.toCommSemiring.{u1} R' _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] (c : P₁) (p : P₁), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P₁) => P₁) p) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u3} (AffineMap.{u1, u2, u3, u2, u3} R' V₁ P₁ V₁ P₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P₁) => P₁) _x) (AffineMap.funLike.{u1, u2, u3, u2, u3} R' V₁ P₁ V₁ P₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) (AffineMap.homothety.{u1, u2, u3} R' V₁ P₁ _inst_14 _inst_2 _inst_4 _inst_15 c (Neg.neg.{u1} R' (Ring.toNeg.{u1} R' (CommRing.toRing.{u1} R' _inst_14)) (OfNat.ofNat.{u1} R' 1 (One.toOfNat1.{u1} R' (Semiring.toOne.{u1} R' (CommSemiring.toSemiring.{u1} R' (CommRing.toCommSemiring.{u1} R' _inst_14))))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u3, u3, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4))) (AffineEquiv.pointReflection.{u1, u3, u2} R' P₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 c) p)
 Case conversion may be inaccurate. Consider using '#align affine_map.homothety_neg_one_apply AffineMap.homothety_neg_one_applyₓ'. -/
 theorem homothety_neg_one_apply (c p : P₁) : homothety c (-1 : R') p = pointReflection R' c p := by
   simp [homothety_apply, point_reflection_apply]

mathlib commit https://github.com/leanprover-community/mathlib/commit/08e1d8d4d989df3a6df86f385e9053ec8a372cc1

@@ -925,7 +925,7 @@ include V
 lean 3 declaration is
   forall {R : Type.{u1}} {V : Type.{u2}} {P : Type.{u3}} [_inst_14 : CommRing.{u1} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u1, u2} R V (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u3} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)], P -> (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17)))))
 but is expected to have type
-  forall {R : Type.{u1}} {V : Type.{u2}} {P : Type.{u3}} [_inst_14 : CommRing.{u1} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u1, u2} R V (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u3} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)], P -> (MonoidHom.{u1, max u2 u3} (Units.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_14))))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u3} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u2 u3} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u2 u3} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17)))))
+  forall {R : Type.{u1}} {V : Type.{u2}} {P : Type.{u3}} [_inst_14 : CommRing.{u1} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u1, u2} R V (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u3} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)], P -> (MonoidHom.{u1, max u2 u3} (Units.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_14))))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u3} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u2 u3} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u2 u3} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17)))))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.homothety_units_mul_hom AffineEquiv.homothetyUnitsMulHomₓ'. -/
 /-- Fixing a point in affine space, homothety about this point gives a group homomorphism from (the
 centre of) the units of the scalars into the group of affine equivalences. -/
@@ -937,7 +937,7 @@ def homothetyUnitsMulHom (p : P) : Rˣ →* P ≃ᵃ[R] P :=
 lean 3 declaration is
   forall {R : Type.{u1}} {V : Type.{u2}} {P : Type.{u3}} [_inst_14 : CommRing.{u1} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u1, u2} R V (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u3} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)] (p : P) (t : Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))), Eq.{succ u3} ((fun (_x : AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (coeFn.{max (succ (max u3 u2)) (succ u1), max (succ u1) (succ (max u3 u2))} (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (fun (_x : MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t)) (coeFn.{max (succ u3) (succ u2), succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (fun (_x : AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineEquiv.hasCoeToFun.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (coeFn.{max (succ (max u3 u2)) (succ u1), max (succ u1) (succ (max u3 u2))} (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (fun (_x : MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t)) (coeFn.{max (succ u2) (succ u3), succ u3} (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (fun (_x : AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineMap.hasCoeToFun.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_17 _inst_16 p ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (HasLiftT.mk.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (CoeTCₓ.coe.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (coeBase.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (Units.hasCoe.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14)))))) t)))
 but is expected to have type
-  forall {R : Type.{u3}} {V : Type.{u1}} {P : Type.{u2}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u1} V] [_inst_16 : Module.{u3, u1} R V (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_15)] [_inst_17 : AddTorsor.{u1, u2} V P (AddCommGroup.toAddGroup.{u1} V _inst_15)] (p : P) (t : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))), Eq.{succ u2} (forall (a : P), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17))) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u3, max (succ u1) (succ u2)} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (fun (_x : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) => AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) _x) (MulHomClass.toFunLike.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulOneClass.toMul.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14)))))) (MulOneClass.toMul.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (MonoidHomClass.toMulHomClass.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17)))) (MonoidHom.monoidHomClass.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))))) (AffineEquiv.homothetyUnitsMulHom.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u2} (AffineMap.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_17 _inst_16 p (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14)))) t)))
+  forall {R : Type.{u3}} {V : Type.{u1}} {P : Type.{u2}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u1} V] [_inst_16 : Module.{u3, u1} R V (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_15)] [_inst_17 : AddTorsor.{u1, u2} V P (AddCommGroup.toAddGroup.{u1} V _inst_15)] (p : P) (t : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))), Eq.{succ u2} (forall (a : P), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17))) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u3, max (succ u1) (succ u2)} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (fun (_x : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) => AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) _x) (MulHomClass.toFunLike.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulOneClass.toMul.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))))) (MulOneClass.toMul.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (MonoidHomClass.toMulHomClass.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17)))) (MonoidHom.monoidHomClass.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))))) (AffineEquiv.homothetyUnitsMulHom.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u2} (AffineMap.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_17 _inst_16 p (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))) t)))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_homothety_units_mul_hom_apply AffineEquiv.coe_homothetyUnitsMulHom_applyₓ'. -/
 @[simp]
 theorem coe_homothetyUnitsMulHom_apply (p : P) (t : Rˣ) :
@@ -949,7 +949,7 @@ theorem coe_homothetyUnitsMulHom_apply (p : P) (t : Rˣ) :
 lean 3 declaration is
   forall {R : Type.{u1}} {V : Type.{u2}} {P : Type.{u3}} [_inst_14 : CommRing.{u1} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u1, u2} R V (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u3} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)] (p : P) (t : Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))), Eq.{succ u3} ((fun (_x : AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineEquiv.symm.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17 (coeFn.{max (succ (max u3 u2)) (succ u1), max (succ u1) (succ (max u3 u2))} (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (fun (_x : MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t))) (coeFn.{max (succ u3) (succ u2), succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (fun (_x : AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineEquiv.hasCoeToFun.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.symm.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17 (coeFn.{max (succ (max u3 u2)) (succ u1), max (succ u1) (succ (max u3 u2))} (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (fun (_x : MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t))) (coeFn.{max (succ u2) (succ u3), succ u3} (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (fun (_x : AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineMap.hasCoeToFun.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_17 _inst_16 p ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (HasLiftT.mk.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (CoeTCₓ.coe.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (coeBase.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (Units.hasCoe.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14)))))) (Inv.inv.{u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Units.hasInv.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) t))))
 but is expected to have type
-  forall {R : Type.{u3}} {V : Type.{u1}} {P : Type.{u2}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u1} V] [_inst_16 : Module.{u3, u1} R V (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_15)] [_inst_17 : AddTorsor.{u1, u2} V P (AddCommGroup.toAddGroup.{u1} V _inst_15)] (p : P) (t : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))), Eq.{succ u2} (forall (a : P), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17))) (AffineEquiv.symm.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17 (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u3, max (succ u1) (succ u2)} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (fun (_x : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) => AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) _x) (MulHomClass.toFunLike.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulOneClass.toMul.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14)))))) (MulOneClass.toMul.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (MonoidHomClass.toMulHomClass.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17)))) (MonoidHom.monoidHomClass.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))))) (AffineEquiv.homothetyUnitsMulHom.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u2} (AffineMap.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_17 _inst_16 p (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14)))) (Inv.inv.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Units.instInv.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) t))))
+  forall {R : Type.{u3}} {V : Type.{u1}} {P : Type.{u2}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u1} V] [_inst_16 : Module.{u3, u1} R V (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_15)] [_inst_17 : AddTorsor.{u1, u2} V P (AddCommGroup.toAddGroup.{u1} V _inst_15)] (p : P) (t : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))), Eq.{succ u2} (forall (a : P), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} 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_inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (fun (_x : 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(CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulOneClass.toMul.{u3} 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_inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (MonoidHomClass.toMulHomClass.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 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P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17)))) (MonoidHom.monoidHomClass.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))))) (AffineEquiv.homothetyUnitsMulHom.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u2} (AffineMap.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_17 _inst_16 p (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))) (Inv.inv.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Units.instInv.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) t))))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_homothety_units_mul_hom_apply_symm AffineEquiv.coe_homothetyUnitsMulHom_apply_symmₓ'. -/
 @[simp]
 theorem coe_homothetyUnitsMulHom_apply_symm (p : P) (t : Rˣ) :
@@ -961,7 +961,7 @@ theorem coe_homothetyUnitsMulHom_apply_symm (p : P) (t : Rˣ) :
 lean 3 declaration is
   forall {R : Type.{u1}} {V : Type.{u2}} {P : Type.{u3}} [_inst_14 : CommRing.{u1} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u1, u2} R V (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u3} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)] (p : P), Eq.{max (succ u1) (succ u2) (succ u3)} ((Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (Function.comp.{succ u1, max (succ u3) (succ u2), max (succ u2) (succ u3)} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) ((fun (a : Sort.{max (succ u3) (succ u2)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u3) (succ u2), max (succ u2) (succ u3)} a b] => self.0) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (HasLiftT.mk.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (CoeTCₓ.coe.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (coeBase.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.AffineMap.hasCoe.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17))))) (coeFn.{max (succ (max u3 u2)) (succ u1), max (succ u1) (succ (max u3 u2))} (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (fun (_x : MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p))) (Function.comp.{succ u1, succ u1, max (succ u2) (succ u3)} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (coeFn.{max (succ (max u2 u3)) (succ u1), max (succ u1) (succ (max u2 u3))} (MonoidHom.{u1, max u2 u3} R (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u3} (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.monoid.{u1, u2, u3} R V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))) (fun (_x : MonoidHom.{u1, max u2 u3} R (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u3} (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.monoid.{u1, u2, u3} R V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))) => R -> (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u2 u3} R (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u3} (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.monoid.{u1, u2, u3} R V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))) (AffineMap.homothetyHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_17 _inst_16 p)) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (HasLiftT.mk.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (CoeTCₓ.coe.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (coeBase.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (Units.hasCoe.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))))))))
 but is expected to have type
-  forall {R : Type.{u3}} {V : Type.{u2}} {P : Type.{u1}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u3, u2} R V (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u1} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)] (p : P), Eq.{max (max (succ u3) (succ u2)) (succ u1)} ((Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) -> (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (Function.comp.{succ u3, max (succ u2) (succ u1), max (succ u2) (succ u1)} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u1, u1, u2, u2} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 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(NonAssocSemiring.toMulZeroOneClass.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u1} (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.instMonoidAffineMap.{u3, u2, u1} R V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))) R (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u3} R (NonAssocSemiring.toMulZeroOneClass.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u1} (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.instMonoidAffineMap.{u3, u2, u1} R V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17)) (MonoidHom.monoidHomClass.{u3, max u2 u1} R (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u3} R (NonAssocSemiring.toMulZeroOneClass.{u3} R (Semiring.toNonAssocSemiring.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u1} (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.instMonoidAffineMap.{u3, u2, u1} R V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineMap.homothetyHom.{u3, u2, u1} R V P _inst_14 _inst_15 _inst_17 _inst_16 p)) (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))))
+  forall {R : Type.{u3}} {V : Type.{u2}} {P : Type.{u1}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u3, u2} R V (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u1} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)] (p : P), Eq.{max (max (succ u3) (succ u2)) (succ u1)} ((Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) -> (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (Function.comp.{succ u3, max (succ u2) (succ u1), max (succ u2) (succ u1)} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u1, u1, u2, u2} R P P V V (CommRing.toRing.{u3} 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u2} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17)))) (MonoidHom.monoidHomClass.{u3, max u2 u1} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (AffineEquiv.{u3, u1, u1, u2, u2} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u1} (AffineEquiv.{u3, u1, u1, u2, u2} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u2 u1} (AffineEquiv.{u3, u1, u1, u2, u2} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u2 u1} (AffineEquiv.{u3, u1, u1, u2, u2} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u1, u2} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))))) (AffineEquiv.homothetyUnitsMulHom.{u3, u2, u1} R V P _inst_14 _inst_15 _inst_16 _inst_17 p))) (Function.comp.{succ u3, succ u3, max (succ u2) (succ u1)} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) R (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u3, max (succ u2) (succ u1)} (MonoidHom.{u3, max u1 u2} R (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u3} R (NonAssocSemiring.toMulZeroOneClass.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u1} (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.instMonoidAffineMap.{u3, u2, u1} R V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) _x) (MulHomClass.toFunLike.{max (max u2 u1) u3, u3, max u2 u1} (MonoidHom.{u3, max u1 u2} R (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u3} R (NonAssocSemiring.toMulZeroOneClass.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u1} (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.instMonoidAffineMap.{u3, u2, u1} R V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))) R (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulOneClass.toMul.{u3} R (MulZeroOneClass.toMulOneClass.{u3} R (NonAssocSemiring.toMulZeroOneClass.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14)))))) (MulOneClass.toMul.{max u2 u1} (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Monoid.toMulOneClass.{max u2 u1} (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.instMonoidAffineMap.{u3, u2, u1} R V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))) (MonoidHomClass.toMulHomClass.{max (max u2 u1) u3, u3, max u2 u1} (MonoidHom.{u3, max u1 u2} R (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u3} R (NonAssocSemiring.toMulZeroOneClass.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u1} (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.instMonoidAffineMap.{u3, u2, u1} R V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))) R (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u3} R (NonAssocSemiring.toMulZeroOneClass.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u1} (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.instMonoidAffineMap.{u3, u2, u1} R V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17)) (MonoidHom.monoidHomClass.{u3, max u2 u1} R (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u3} R (NonAssocSemiring.toMulZeroOneClass.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u1} (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.instMonoidAffineMap.{u3, u2, u1} R V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineMap.homothetyHom.{u3, u2, u1} R V P _inst_14 _inst_15 _inst_17 _inst_16 p)) (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_14))))))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_homothety_units_mul_hom_eq_homothety_hom_coe AffineEquiv.coe_homothetyUnitsMulHom_eq_homothetyHom_coeₓ'. -/
 @[simp]
 theorem coe_homothetyUnitsMulHom_eq_homothetyHom_coe (p : P) :
@@ -1160,7 +1160,7 @@ variable {R' : Type _} [CommRing R'] [Module R' V₁]
 lean 3 declaration is
   forall {P₁ : Type.{u1}} {V₁ : Type.{u2}} [_inst_2 : AddCommGroup.{u2} V₁] [_inst_4 : AddTorsor.{u2, u1} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] {R' : Type.{u3}} [_inst_14 : CommRing.{u3} R'] [_inst_15 : Module.{u3, u2} R' V₁ (Ring.toSemiring.{u3} R' (CommRing.toRing.{u3} R' _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] (c : P₁) (p : P₁), Eq.{succ u1} P₁ (coeFn.{max (succ u2) (succ u1), succ u1} (AffineMap.{u3, u2, u1, u2, u1} R' V₁ P₁ V₁ P₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) (fun (_x : AffineMap.{u3, u2, u1, u2, u1} R' V₁ P₁ V₁ P₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) => P₁ -> P₁) (AffineMap.hasCoeToFun.{u3, u2, u1, u2, u1} R' V₁ P₁ V₁ P₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) (AffineMap.homothety.{u3, u2, u1} R' V₁ P₁ _inst_14 _inst_2 _inst_4 _inst_15 c (Neg.neg.{u3} R' (SubNegMonoid.toHasNeg.{u3} R' (AddGroup.toSubNegMonoid.{u3} R' (AddGroupWithOne.toAddGroup.{u3} R' (AddCommGroupWithOne.toAddGroupWithOne.{u3} R' (Ring.toAddCommGroupWithOne.{u3} R' (CommRing.toRing.{u3} R' _inst_14)))))) (OfNat.ofNat.{u3} R' 1 (OfNat.mk.{u3} R' 1 (One.one.{u3} R' (AddMonoidWithOne.toOne.{u3} R' (AddGroupWithOne.toAddMonoidWithOne.{u3} R' (AddCommGroupWithOne.toAddGroupWithOne.{u3} R' (Ring.toAddCommGroupWithOne.{u3} R' (CommRing.toRing.{u3} R' _inst_14)))))))))) p) (coeFn.{max (succ u1) (succ u2), succ u1} (AffineEquiv.{u3, u1, u1, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) (fun (_x : AffineEquiv.{u3, u1, u1, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u3, u1, u1, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) (AffineEquiv.pointReflection.{u3, u1, u2} R' P₁ V₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 c) p)
 but is expected to have type
-  forall {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_2 : AddCommGroup.{u2} V₁] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] {R' : Type.{u1}} [_inst_14 : CommRing.{u1} R'] [_inst_15 : Module.{u1, u2} R' V₁ (Ring.toSemiring.{u1} R' (CommRing.toRing.{u1} R' _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] (c : P₁) (p : P₁), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P₁) => P₁) p) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u3} (AffineMap.{u1, u2, u3, u2, u3} R' V₁ P₁ V₁ P₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P₁) => P₁) _x) (AffineMap.funLike.{u1, u2, u3, u2, u3} R' V₁ P₁ V₁ P₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) (AffineMap.homothety.{u1, u2, u3} R' V₁ P₁ _inst_14 _inst_2 _inst_4 _inst_15 c (Neg.neg.{u1} R' (Ring.toNeg.{u1} R' (CommRing.toRing.{u1} R' _inst_14)) (OfNat.ofNat.{u1} R' 1 (One.toOfNat1.{u1} R' (Semiring.toOne.{u1} R' (Ring.toSemiring.{u1} R' (CommRing.toRing.{u1} R' _inst_14))))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u3, u3, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4))) (AffineEquiv.pointReflection.{u1, u3, u2} R' P₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 c) p)
+  forall {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_2 : AddCommGroup.{u2} V₁] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] {R' : Type.{u1}} [_inst_14 : CommRing.{u1} R'] [_inst_15 : Module.{u1, u2} R' V₁ (CommSemiring.toSemiring.{u1} R' (CommRing.toCommSemiring.{u1} R' _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] (c : P₁) (p : P₁), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P₁) => P₁) p) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u3} (AffineMap.{u1, u2, u3, u2, u3} R' V₁ P₁ V₁ P₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P₁) => P₁) _x) (AffineMap.funLike.{u1, u2, u3, u2, u3} R' V₁ P₁ V₁ P₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) (AffineMap.homothety.{u1, u2, u3} R' V₁ P₁ _inst_14 _inst_2 _inst_4 _inst_15 c (Neg.neg.{u1} R' (Ring.toNeg.{u1} R' (CommRing.toRing.{u1} R' _inst_14)) (OfNat.ofNat.{u1} R' 1 (One.toOfNat1.{u1} R' (Semiring.toOne.{u1} R' (CommSemiring.toSemiring.{u1} R' (CommRing.toCommSemiring.{u1} R' _inst_14))))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u2), succ u3, succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u1, u3, u3, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4))) (AffineEquiv.pointReflection.{u1, u3, u2} R' P₁ V₁ (CommRing.toRing.{u1} R' _inst_14) _inst_2 _inst_15 _inst_4 c) p)
 Case conversion may be inaccurate. Consider using '#align affine_map.homothety_neg_one_apply AffineMap.homothety_neg_one_applyₓ'. -/
 theorem homothety_neg_one_apply (c p : P₁) : homothety c (-1 : R') p = pointReflection R' c p := by
   simp [homothety_apply, point_reflection_apply]

mathlib commit https://github.com/leanprover-community/mathlib/commit/2651125b48fc5c170ab1111afd0817c903b1fc6c

@@ -949,7 +949,7 @@ theorem coe_homothetyUnitsMulHom_apply (p : P) (t : Rˣ) :
 lean 3 declaration is
   forall {R : Type.{u1}} {V : Type.{u2}} {P : Type.{u3}} [_inst_14 : CommRing.{u1} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u1, u2} R V (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u3} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)] (p : P) (t : Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))), Eq.{succ u3} ((fun (_x : AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineEquiv.symm.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17 (coeFn.{max (succ (max u3 u2)) (succ u1), max (succ u1) (succ (max u3 u2))} (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (fun (_x : MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t))) (coeFn.{max (succ u3) (succ u2), succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (fun (_x : AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineEquiv.hasCoeToFun.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.symm.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17 (coeFn.{max (succ (max u3 u2)) (succ u1), max (succ u1) (succ (max u3 u2))} (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (fun (_x : MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t))) (coeFn.{max (succ u2) (succ u3), succ u3} (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (fun (_x : AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineMap.hasCoeToFun.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_17 _inst_16 p ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (HasLiftT.mk.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (CoeTCₓ.coe.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (coeBase.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (Units.hasCoe.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14)))))) (Inv.inv.{u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Units.hasInv.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) t))))
 but is expected to have type
-  forall {R : Type.{u3}} {V : Type.{u1}} {P : Type.{u2}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u1} V] [_inst_16 : Module.{u3, u1} R V (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_15)] [_inst_17 : AddTorsor.{u1, u2} V P (AddCommGroup.toAddGroup.{u1} V _inst_15)] (p : P) (t : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))), Eq.{succ u2} (forall (a : P), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17))) (AffineEquiv.symm.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17 (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u3, max (succ u1) (succ u2)} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (fun (_x : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) => AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) _x) (MulHomClass.toFunLike.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulOneClass.toMul.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14)))))) (MulOneClass.toMul.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (MonoidHomClass.toMulHomClass.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17)))) (MonoidHom.monoidHomClass.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))))) (AffineEquiv.homothetyUnitsMulHom.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u2} (AffineMap.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_17 _inst_16 p (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14)))) (Inv.inv.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Units.instInvUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) t))))
+  forall {R : Type.{u3}} {V : Type.{u1}} {P : Type.{u2}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u1} V] [_inst_16 : Module.{u3, u1} R V (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_15)] [_inst_17 : AddTorsor.{u1, u2} V P (AddCommGroup.toAddGroup.{u1} V _inst_15)] (p : P) (t : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))), Eq.{succ u2} (forall (a : P), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17))) (AffineEquiv.symm.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17 (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u3, max (succ u1) (succ u2)} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (fun (_x : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) => AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) _x) (MulHomClass.toFunLike.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulOneClass.toMul.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14)))))) (MulOneClass.toMul.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (MonoidHomClass.toMulHomClass.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17)))) (MonoidHom.monoidHomClass.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))))) (AffineEquiv.homothetyUnitsMulHom.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u2} (AffineMap.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_17 _inst_16 p (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14)))) (Inv.inv.{u3} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Units.instInv.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) t))))
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_homothety_units_mul_hom_apply_symm AffineEquiv.coe_homothetyUnitsMulHom_apply_symmₓ'. -/
 @[simp]
 theorem coe_homothetyUnitsMulHom_apply_symm (p : P) (t : Rˣ) :

mathlib commit https://github.com/leanprover-community/mathlib/commit/17ad94b4953419f3e3ce3e77da3239c62d1d09f0

@@ -346,11 +346,11 @@ def Simps.apply (e : P₁ ≃ᵃ[k] P₂) : P₁ → P₂ :=
 #align affine_equiv.simps.apply AffineEquiv.Simps.apply
 -/
 
-#print AffineEquiv.Simps.symmApply /-
+#print AffineEquiv.Simps.symm_apply /-
 /-- See Note [custom simps projection] -/
-def Simps.symmApply (e : P₁ ≃ᵃ[k] P₂) : P₂ → P₁ :=
+def Simps.symm_apply (e : P₁ ≃ᵃ[k] P₂) : P₂ → P₁ :=
   e.symm
-#align affine_equiv.simps.symm_apply AffineEquiv.Simps.symmApply
+#align affine_equiv.simps.symm_apply AffineEquiv.Simps.symm_apply
 -/
 
 initialize_simps_projections AffineEquiv (to_equiv_to_fun → apply, to_equiv_inv_fun → symm_apply,

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce86f4e05e9a9b8da5e316b22c76ce76440c56a1

@@ -676,7 +676,7 @@ theorem symm_trans_self (e : P₁ ≃ᵃ[k] P₂) : e.symm.trans e = refl k P₂
 
 /- warning: affine_equiv.apply_line_map -> AffineEquiv.apply_lineMap is a dubious translation:
 lean 3 declaration is
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P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e a) (FunLike.coe.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1), succ u4, succ u3} (AffineEquiv.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) P₁ P₂ (AffineEquiv.equivLike.{u5, u4, u3, u2, u1} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7))) e b)) c)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.apply_line_map AffineEquiv.apply_lineMapₓ'. -/
@@ -1063,7 +1063,7 @@ theorem injective_pointReflection_left_of_injective_bit0 (h : Injective (bit0 :
 
 /- warning: affine_equiv.injective_point_reflection_left_of_module -> AffineEquiv.injective_pointReflection_left_of_module is a dubious translation:
 lean 3 declaration is
-  forall (k : Type.{u1}) {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] [_inst_14 : Invertible.{u1} k (Distrib.toHasMul.{u1} k (Ring.toDistrib.{u1} k _inst_1)) (AddMonoidWithOne.toOne.{u1} k (AddGroupWithOne.toAddMonoidWithOne.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1)))) (OfNat.ofNat.{u1} k 2 (OfNat.mk.{u1} k 2 (bit0.{u1} k (Distrib.toHasAdd.{u1} k (Ring.toDistrib.{u1} k _inst_1)) (One.one.{u1} k (AddMonoidWithOne.toOne.{u1} k (AddGroupWithOne.toAddMonoidWithOne.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))))))))] (y : P₁), Function.Injective.{succ u2, succ u2} P₁ P₁ (fun (x : P₁) => coeFn.{max (succ u2) (succ u3), succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.pointReflection.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y)
+  forall (k : Type.{u1}) {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] [_inst_14 : Invertible.{u1} k (Distrib.toHasMul.{u1} k (Ring.toDistrib.{u1} k _inst_1)) (AddMonoidWithOne.toOne.{u1} k (AddGroupWithOne.toAddMonoidWithOne.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) (OfNat.ofNat.{u1} k 2 (OfNat.mk.{u1} k 2 (bit0.{u1} k (Distrib.toHasAdd.{u1} k (Ring.toDistrib.{u1} k _inst_1)) (One.one.{u1} k (AddMonoidWithOne.toOne.{u1} k (AddGroupWithOne.toAddMonoidWithOne.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1))))))))] (y : P₁), Function.Injective.{succ u2, succ u2} P₁ P₁ (fun (x : P₁) => coeFn.{max (succ u2) (succ u3), succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.pointReflection.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y)
 but is expected to have type
   forall (k : Type.{u3}) {P₁ : Type.{u2}} {V₁ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u1} V₁] [_inst_3 : Module.{u3, u1} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₁ _inst_2)] [_inst_4 : AddTorsor.{u1, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u1} V₁ _inst_2)] [_inst_14 : Invertible.{u3} k (NonUnitalNonAssocRing.toMul.{u3} k (NonUnitalRing.toNonUnitalNonAssocRing.{u3} k (Ring.toNonUnitalRing.{u3} k _inst_1))) (Semiring.toOne.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (OfNat.ofNat.{u3} k 2 (instOfNat.{u3} k 2 (Semiring.toNatCast.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (y : P₁), Function.Injective.{succ u2, succ u2} P₁ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) y) (fun (x : P₁) => FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.pointReflection.{u3, u2, u1} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.injective_point_reflection_left_of_module AffineEquiv.injective_pointReflection_left_of_moduleₓ'. -/
@@ -1076,7 +1076,7 @@ theorem injective_pointReflection_left_of_module [Invertible (2 : k)] :
 
 /- warning: affine_equiv.point_reflection_fixed_iff_of_module -> AffineEquiv.pointReflection_fixed_iff_of_module is a dubious translation:
 lean 3 declaration is
-  forall (k : Type.{u1}) {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] [_inst_14 : Invertible.{u1} k (Distrib.toHasMul.{u1} k (Ring.toDistrib.{u1} k _inst_1)) (AddMonoidWithOne.toOne.{u1} k (AddGroupWithOne.toAddMonoidWithOne.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1)))) (OfNat.ofNat.{u1} k 2 (OfNat.mk.{u1} k 2 (bit0.{u1} k (Distrib.toHasAdd.{u1} k (Ring.toDistrib.{u1} k _inst_1)) (One.one.{u1} k (AddMonoidWithOne.toOne.{u1} k (AddGroupWithOne.toAddMonoidWithOne.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))))))))] {x : P₁} {y : P₁}, Iff (Eq.{succ u2} P₁ (coeFn.{max (succ u2) (succ u3), succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.pointReflection.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y) y) (Eq.{succ u2} P₁ y x)
+  forall (k : Type.{u1}) {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] [_inst_14 : Invertible.{u1} k (Distrib.toHasMul.{u1} k (Ring.toDistrib.{u1} k _inst_1)) (AddMonoidWithOne.toOne.{u1} k (AddGroupWithOne.toAddMonoidWithOne.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) (OfNat.ofNat.{u1} k 2 (OfNat.mk.{u1} k 2 (bit0.{u1} k (Distrib.toHasAdd.{u1} k (Ring.toDistrib.{u1} k _inst_1)) (One.one.{u1} k (AddMonoidWithOne.toOne.{u1} k (AddGroupWithOne.toAddMonoidWithOne.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1))))))))] {x : P₁} {y : P₁}, Iff (Eq.{succ u2} P₁ (coeFn.{max (succ u2) (succ u3), succ u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (fun (_x : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.pointReflection.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y) y) (Eq.{succ u2} P₁ y x)
 but is expected to have type
   forall (k : Type.{u3}) {P₁ : Type.{u2}} {V₁ : Type.{u1}} [_inst_1 : Ring.{u3} k] [_inst_2 : AddCommGroup.{u1} V₁] [_inst_3 : Module.{u3, u1} k V₁ (Ring.toSemiring.{u3} k _inst_1) (AddCommGroup.toAddCommMonoid.{u1} V₁ _inst_2)] [_inst_4 : AddTorsor.{u1, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u1} V₁ _inst_2)] [_inst_14 : Invertible.{u3} k (NonUnitalNonAssocRing.toMul.{u3} k (NonUnitalRing.toNonUnitalNonAssocRing.{u3} k (Ring.toNonUnitalRing.{u3} k _inst_1))) (Semiring.toOne.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (OfNat.ofNat.{u3} k 2 (instOfNat.{u3} k 2 (Semiring.toNatCast.{u3} k (Ring.toSemiring.{u3} k _inst_1)) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] {x : P₁} {y : P₁}, Iff (Eq.{succ u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) y) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ (fun (_x : P₁) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P₁) => P₁) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) P₁ P₁ (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4))) (AffineEquiv.pointReflection.{u3, u2, u1} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 x) y) y) (Eq.{succ u2} P₁ y x)
 Case conversion may be inaccurate. Consider using '#align affine_equiv.point_reflection_fixed_iff_of_module AffineEquiv.pointReflection_fixed_iff_of_moduleₓ'. -/
@@ -1120,7 +1120,7 @@ include V₁
 
 /- warning: affine_map.line_map_vadd -> AffineMap.lineMap_vadd is a dubious translation:
 lean 3 declaration is
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+  forall {k : Type.{u1}} {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] (v : V₁) (v' : V₁) (p : P₁) (c : k), Eq.{succ u2} P₁ (VAdd.vadd.{u3, u2} V₁ P₁ (AddAction.toHasVadd.{u3, u2} V₁ P₁ (SubNegMonoid.toAddMonoid.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) (AddTorsor.toAddAction.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2) _inst_4)) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (AffineMap.{u1, u1, u1, u3, u3} k k k V₁ V₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) (fun (_x : AffineMap.{u1, u1, u1, u3, u3} k k k V₁ V₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) => k -> V₁) (AffineMap.hasCoeToFun.{u1, u1, u1, u3, u3} k k k V₁ V₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) (AffineMap.lineMap.{u1, u3, u3} k V₁ V₁ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)) v v') c) p) (coeFn.{max (succ u1) (succ u3) (succ u2), max (succ u1) (succ u2)} (AffineMap.{u1, u1, u1, u3, u2} k k k V₁ P₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 _inst_4) (fun (_x : AffineMap.{u1, u1, u1, u3, u2} k k k V₁ P₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 _inst_4) => k -> P₁) (AffineMap.hasCoeToFun.{u1, u1, u1, u3, u2} k k k V₁ P₁ _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k _inst_1)) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k _inst_1)))) _inst_2 _inst_3 _inst_4) (AffineMap.lineMap.{u1, u3, u2} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 (VAdd.vadd.{u3, u2} V₁ P₁ (AddAction.toHasVadd.{u3, u2} V₁ P₁ (SubNegMonoid.toAddMonoid.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) (AddTorsor.toAddAction.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2) _inst_4)) v p) (VAdd.vadd.{u3, u2} V₁ P₁ (AddAction.toHasVadd.{u3, u2} V₁ P₁ (SubNegMonoid.toAddMonoid.{u3} V₁ (AddGroup.toSubNegMonoid.{u3} V₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2))) (AddTorsor.toAddAction.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2) _inst_4)) v' p)) c)
 but is expected to have type
   forall {k : Type.{u1}} {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (v : V₁) (v' : V₁) (p : P₁) (c : k), Eq.{succ u3} P₁ (HVAdd.hVAdd.{u2, u3, u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) c) P₁ P₁ (instHVAdd.{u2, u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) c) P₁ (AddAction.toVAdd.{u2, u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) c) P₁ (SubNegMonoid.toAddMonoid.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) c) (AddGroup.toSubNegMonoid.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) c) (AddCommGroup.toAddGroup.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) c) _inst_2))) (AddTorsor.toAddAction.{u2, u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) c) P₁ (AddCommGroup.toAddGroup.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) c) _inst_2) _inst_4))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (AffineMap.{u1, u1, u1, u2, u2} k k k V₁ V₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k _inst_1) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => V₁) _x) (AffineMap.funLike.{u1, u1, u1, u2, u2} k k k V₁ V₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k _inst_1) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AffineMap.lineMap.{u1, u2, u2} k V₁ V₁ _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)) v v') c) p) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u1, succ u3} (AffineMap.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k _inst_1) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) _x) (AffineMap.funLike.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k _inst_1) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) (AffineMap.lineMap.{u1, u2, u3} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 (HVAdd.hVAdd.{u2, u3, u3} V₁ P₁ P₁ (instHVAdd.{u2, u3} V₁ P₁ (AddAction.toVAdd.{u2, u3} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v p) (HVAdd.hVAdd.{u2, u3, u3} V₁ P₁ P₁ (instHVAdd.{u2, u3} V₁ P₁ (AddAction.toVAdd.{u2, u3} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v' p)) c)
 Case conversion may be inaccurate. Consider using '#align affine_map.line_map_vadd AffineMap.lineMap_vaddₓ'. -/
@@ -1145,7 +1145,7 @@ theorem vsub_lineMap (p₁ p₂ p₃ : P₁) (c : k) :
 
 /- warning: affine_map.vadd_line_map -> AffineMap.vadd_lineMap is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
   forall {k : Type.{u1}} {P₁ : Type.{u3}} {V₁ : Type.{u2}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u2} V₁] [_inst_3 : Module.{u1, u2} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] [_inst_4 : AddTorsor.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] (v : V₁) (p₁ : P₁) (p₂ : P₁) (c : k), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) c) (HVAdd.hVAdd.{u2, u3, u3} V₁ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) c) ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) c) (instHVAdd.{u2, u3} V₁ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) c) (AddAction.toVAdd.{u2, u3} V₁ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) c) (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) c) (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u1, succ u3} (AffineMap.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k _inst_1) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) _x) (AffineMap.funLike.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k _inst_1) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) (AffineMap.lineMap.{u1, u2, u3} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 p₁ p₂) c)) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u1, succ u3} (AffineMap.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k _inst_1) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => P₁) _x) (AffineMap.funLike.{u1, u1, u1, u2, u3} k k k V₁ P₁ _inst_1 (Ring.toAddCommGroup.{u1} k _inst_1) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k _inst_1) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k _inst_1))) _inst_2 _inst_3 _inst_4) (AffineMap.lineMap.{u1, u2, u3} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 (HVAdd.hVAdd.{u2, u3, u3} V₁ P₁ P₁ (instHVAdd.{u2, u3} V₁ P₁ (AddAction.toVAdd.{u2, u3} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v p₁) (HVAdd.hVAdd.{u2, u3, u3} V₁ P₁ P₁ (instHVAdd.{u2, u3} V₁ P₁ (AddAction.toVAdd.{u2, u3} V₁ P₁ (SubNegMonoid.toAddMonoid.{u2} V₁ (AddGroup.toSubNegMonoid.{u2} V₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2))) (AddTorsor.toAddAction.{u2, u3} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2) _inst_4))) v p₂)) c)
 Case conversion may be inaccurate. Consider using '#align affine_map.vadd_line_map AffineMap.vadd_lineMapₓ'. -/
@@ -1158,7 +1158,7 @@ variable {R' : Type _} [CommRing R'] [Module R' V₁]
 
 /- warning: affine_map.homothety_neg_one_apply -> AffineMap.homothety_neg_one_apply is a dubious translation:
 lean 3 declaration is
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+  forall {P₁ : Type.{u1}} {V₁ : Type.{u2}} [_inst_2 : AddCommGroup.{u2} V₁] [_inst_4 : AddTorsor.{u2, u1} V₁ P₁ (AddCommGroup.toAddGroup.{u2} V₁ _inst_2)] {R' : Type.{u3}} [_inst_14 : CommRing.{u3} R'] [_inst_15 : Module.{u3, u2} R' V₁ (Ring.toSemiring.{u3} R' (CommRing.toRing.{u3} R' _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V₁ _inst_2)] (c : P₁) (p : P₁), Eq.{succ u1} P₁ (coeFn.{max (succ u2) (succ u1), succ u1} (AffineMap.{u3, u2, u1, u2, u1} R' V₁ P₁ V₁ P₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) (fun (_x : AffineMap.{u3, u2, u1, u2, u1} R' V₁ P₁ V₁ P₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) => P₁ -> P₁) (AffineMap.hasCoeToFun.{u3, u2, u1, u2, u1} R' V₁ P₁ V₁ P₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) (AffineMap.homothety.{u3, u2, u1} R' V₁ P₁ _inst_14 _inst_2 _inst_4 _inst_15 c (Neg.neg.{u3} R' (SubNegMonoid.toHasNeg.{u3} R' (AddGroup.toSubNegMonoid.{u3} R' (AddGroupWithOne.toAddGroup.{u3} R' (AddCommGroupWithOne.toAddGroupWithOne.{u3} R' (Ring.toAddCommGroupWithOne.{u3} R' (CommRing.toRing.{u3} R' _inst_14)))))) (OfNat.ofNat.{u3} R' 1 (OfNat.mk.{u3} R' 1 (One.one.{u3} R' (AddMonoidWithOne.toOne.{u3} R' (AddGroupWithOne.toAddMonoidWithOne.{u3} R' (AddCommGroupWithOne.toAddGroupWithOne.{u3} R' (Ring.toAddCommGroupWithOne.{u3} R' (CommRing.toRing.{u3} R' _inst_14)))))))))) p) (coeFn.{max (succ u1) (succ u2), succ u1} (AffineEquiv.{u3, u1, u1, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) (fun (_x : AffineEquiv.{u3, u1, u1, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) => P₁ -> P₁) (AffineEquiv.hasCoeToFun.{u3, u1, u1, u2, u2} R' P₁ P₁ V₁ V₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 _inst_2 _inst_15 _inst_4) (AffineEquiv.pointReflection.{u3, u1, u2} R' P₁ V₁ (CommRing.toRing.{u3} R' _inst_14) _inst_2 _inst_15 _inst_4 c) p)
 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align affine_map.homothety_neg_one_apply AffineMap.homothety_neg_one_applyₓ'. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/d11893b411025250c8e61ff2f12ccbd7ee35ab15

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
 
 ! This file was ported from Lean 3 source module linear_algebra.affine_space.affine_equiv
-! leanprover-community/mathlib commit bd1fc183335ea95a9519a1630bcf901fe9326d83
+! leanprover-community/mathlib commit 97eab48559068f3d6313da387714ef25768fb730
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.Algebra.Invertible
 /-!
 # Affine equivalences
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we define `affine_equiv k P₁ P₂` (notation: `P₁ ≃ᵃ[k] P₂`) to be the type of affine
 equivalences between `P₁` and `P₂, i.e., equivalences such that both forward and inverse maps are
 affine maps.

mathlib commit https://github.com/leanprover-community/mathlib/commit/57e09a1296bfb4330ddf6624f1028ba186117d82

@@ -42,6 +42,7 @@ open Function Set
 
 open Affine
 
+#print AffineEquiv /-
 /-- An affine equivalence is an equivalence between affine spaces such that both forward
 and inverse maps are affine.
 
@@ -53,6 +54,7 @@ structure AffineEquiv (k P₁ P₂ : Type _) {V₁ V₂ : Type _} [Ring k] [AddC
   linear : V₁ ≃ₗ[k] V₂
   map_vadd' : ∀ (p : P₁) (v : V₁), to_equiv (v +ᵥ p) = linear v +ᵥ to_equiv p
 #align affine_equiv AffineEquiv
+-/
 
 -- mathport name: «expr ≃ᵃ[ ] »
 notation:25 P₁ " ≃ᵃ[" k:25 "] " P₂:0 => AffineEquiv k P₁ P₂
@@ -65,22 +67,42 @@ namespace AffineEquiv
 
 include V₁ V₂
 
+#print AffineEquiv.toAffineMap /-
 /-- Reinterpret an `affine_equiv` as an `affine_map`. -/
 def toAffineMap (e : P₁ ≃ᵃ[k] P₂) : P₁ →ᵃ[k] P₂ :=
   { e with }
 #align affine_equiv.to_affine_map AffineEquiv.toAffineMap
+-/
 
+/- warning: affine_equiv.to_affine_map_mk -> AffineEquiv.toAffineMap_mk is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.to_affine_map_mk AffineEquiv.toAffineMap_mkₓ'. -/
 @[simp]
 theorem toAffineMap_mk (f : P₁ ≃ P₂) (f' : V₁ ≃ₗ[k] V₂) (h) :
     toAffineMap (mk f f' h) = ⟨f, f', h⟩ :=
   rfl
 #align affine_equiv.to_affine_map_mk AffineEquiv.toAffineMap_mk
 
+/- warning: affine_equiv.linear_to_affine_map -> AffineEquiv.linear_toAffineMap 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 affine_equiv.linear_to_affine_map AffineEquiv.linear_toAffineMapₓ'. -/
 @[simp]
 theorem linear_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : e.toAffineMap.linear = e.linear :=
   rfl
 #align affine_equiv.linear_to_affine_map AffineEquiv.linear_toAffineMap
 
+/- warning: affine_equiv.to_affine_map_injective -> AffineEquiv.toAffineMap_injective is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.to_affine_map_injective AffineEquiv.toAffineMap_injectiveₓ'. -/
 theorem toAffineMap_injective : Injective (toAffineMap : (P₁ ≃ᵃ[k] P₂) → P₁ →ᵃ[k] P₂) :=
   by
   rintro ⟨e, el, h⟩ ⟨e', el', h'⟩ H
@@ -89,11 +111,18 @@ theorem toAffineMap_injective : Injective (toAffineMap : (P₁ ≃ᵃ[k] P₂) 
   exacts[H.1, H.2]
 #align affine_equiv.to_affine_map_injective AffineEquiv.toAffineMap_injective
 
+/- warning: affine_equiv.to_affine_map_inj -> AffineEquiv.toAffineMap_inj 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 affine_equiv.to_affine_map_inj AffineEquiv.toAffineMap_injₓ'. -/
 @[simp]
 theorem toAffineMap_inj {e e' : P₁ ≃ᵃ[k] P₂} : e.toAffineMap = e'.toAffineMap ↔ e = e' :=
   toAffineMap_injective.eq_iff
 #align affine_equiv.to_affine_map_inj AffineEquiv.toAffineMap_inj
 
+#print AffineEquiv.equivLike /-
 instance equivLike : EquivLike (P₁ ≃ᵃ[k] P₂) P₁ P₂
     where
   coe f := f.toFun
@@ -102,6 +131,7 @@ instance equivLike : EquivLike (P₁ ≃ᵃ[k] P₂) P₁ P₂
   right_inv f := f.right_inv
   coe_injective' f g h _ := toAffineMap_injective (FunLike.coe_injective h)
 #align affine_equiv.equiv_like AffineEquiv.equivLike
+-/
 
 instance : CoeFun (P₁ ≃ᵃ[k] P₂) fun _ => P₁ → P₂ :=
   FunLike.hasCoeToFun
@@ -111,11 +141,23 @@ instance : Coe (P₁ ≃ᵃ[k] P₂) (P₁ ≃ P₂) :=
 
 variable {k P₁}
 
+/- warning: affine_equiv.map_vadd -> AffineEquiv.map_vadd is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.map_vadd AffineEquiv.map_vaddₓ'. -/
 @[simp]
 theorem map_vadd (e : P₁ ≃ᵃ[k] P₂) (p : P₁) (v : V₁) : e (v +ᵥ p) = e.linear v +ᵥ e p :=
   e.map_vadd' p v
 #align affine_equiv.map_vadd AffineEquiv.map_vadd
 
+/- warning: affine_equiv.coe_to_equiv -> AffineEquiv.coe_toEquiv is a dubious translation:
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 @[simp]
 theorem coe_toEquiv (e : P₁ ≃ᵃ[k] P₂) : ⇑e.toEquiv = e :=
   rfl
@@ -124,49 +166,105 @@ theorem coe_toEquiv (e : P₁ ≃ᵃ[k] P₂) : ⇑e.toEquiv = e :=
 instance : Coe (P₁ ≃ᵃ[k] P₂) (P₁ →ᵃ[k] P₂) :=
   ⟨toAffineMap⟩
 
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 @[simp]
 theorem coe_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : (e.toAffineMap : P₁ → P₂) = (e : P₁ → P₂) :=
   rfl
 #align affine_equiv.coe_to_affine_map AffineEquiv.coe_toAffineMap
 
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 @[norm_cast, simp]
 theorem coe_coe (e : P₁ ≃ᵃ[k] P₂) : ((e : P₁ →ᵃ[k] P₂) : P₁ → P₂) = e :=
   rfl
 #align affine_equiv.coe_coe AffineEquiv.coe_coe
 
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 @[simp]
 theorem coe_linear (e : P₁ ≃ᵃ[k] P₂) : (e : P₁ →ᵃ[k] P₂).linear = e.linear :=
   rfl
 #align affine_equiv.coe_linear AffineEquiv.coe_linear
 
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 @[ext]
 theorem ext {e e' : P₁ ≃ᵃ[k] P₂} (h : ∀ x, e x = e' x) : e = e' :=
   FunLike.ext _ _ h
 #align affine_equiv.ext AffineEquiv.ext
 
+#print AffineEquiv.coeFn_injective /-
 theorem coeFn_injective : @Injective (P₁ ≃ᵃ[k] P₂) (P₁ → P₂) coeFn :=
   FunLike.coe_injective
 #align affine_equiv.coe_fn_injective AffineEquiv.coeFn_injective
+-/
 
+/- warning: affine_equiv.coe_fn_inj -> AffineEquiv.coeFn_inj is a dubious translation:
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 @[simp, norm_cast]
 theorem coeFn_inj {e e' : P₁ ≃ᵃ[k] P₂} : (e : P₁ → P₂) = e' ↔ e = e' :=
   coeFn_injective.eq_iff
 #align affine_equiv.coe_fn_inj AffineEquiv.coeFn_inj
 
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 theorem toEquiv_injective : Injective (toEquiv : (P₁ ≃ᵃ[k] P₂) → P₁ ≃ P₂) := fun e e' H =>
   ext <| Equiv.ext_iff.1 H
 #align affine_equiv.to_equiv_injective AffineEquiv.toEquiv_injective
 
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 @[simp]
 theorem toEquiv_inj {e e' : P₁ ≃ᵃ[k] P₂} : e.toEquiv = e'.toEquiv ↔ e = e' :=
   toEquiv_injective.eq_iff
 #align affine_equiv.to_equiv_inj AffineEquiv.toEquiv_inj
 
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_mk AffineEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (h) : ((⟨e, e', h⟩ : P₁ ≃ᵃ[k] P₂) : P₁ → P₂) = e :=
   rfl
 #align affine_equiv.coe_mk AffineEquiv.coe_mk
 
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(Ring.toSemiring.{u1} k _inst_1))))))) e' (VSub.vsub.{u4, u2} V₁ P₁ (AddTorsor.toVSub.{u4, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u4} V₁ _inst_2) _inst_4) p' p)) (e p))) -> (AffineEquiv.{u1, u2, u3, u4, u5} k P₁ P₂ V₁ V₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7)
+Case conversion may be inaccurate. Consider using '#align affine_equiv.mk' AffineEquiv.mk'ₓ'. -/
 /-- Construct an affine equivalence by verifying the relation between the map and its linear part at
 one base point. Namely, this function takes a map `e : P₁ → P₂`, a linear equivalence
 `e' : V₁ ≃ₗ[k] V₂`, and a point `p` such that for any other point `p'` we have
@@ -181,16 +279,29 @@ def mk' (e : P₁ → P₂) (e' : V₁ ≃ₗ[k] V₂) (p : P₁) (h : ∀ p' :
   map_vadd' p' v := by simp [h p', h (v +ᵥ p'), vadd_vsub_assoc, vadd_vadd]
 #align affine_equiv.mk' AffineEquiv.mk'
 
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_mk' AffineEquiv.coe_mk'ₓ'. -/
 @[simp]
 theorem coe_mk' (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (p h) : ⇑(mk' e e' p h) = e :=
   rfl
 #align affine_equiv.coe_mk' AffineEquiv.coe_mk'
 
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.linear_mk' AffineEquiv.linear_mk'ₓ'. -/
 @[simp]
 theorem linear_mk' (e : P₁ ≃ P₂) (e' : V₁ ≃ₗ[k] V₂) (p h) : (mk' e e' p h).linear = e' :=
   rfl
 #align affine_equiv.linear_mk' AffineEquiv.linear_mk'
 
+#print AffineEquiv.symm /-
 /-- Inverse of an affine equivalence as an affine equivalence. -/
 @[symm]
 def symm (e : P₁ ≃ᵃ[k] P₂) : P₂ ≃ᵃ[k] P₁
@@ -201,42 +312,78 @@ def symm (e : P₁ ≃ᵃ[k] P₂) : P₂ ≃ᵃ[k] P₁
     e.toEquiv.symm.apply_eq_iff_eq_symm_apply.2 <| by
       simpa using (e.to_equiv.apply_symm_apply v).symm
 #align affine_equiv.symm AffineEquiv.symm
+-/
 
+/- warning: affine_equiv.symm_to_equiv -> AffineEquiv.symm_toEquiv is a dubious translation:
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 @[simp]
 theorem symm_toEquiv (e : P₁ ≃ᵃ[k] P₂) : e.toEquiv.symm = e.symm.toEquiv :=
   rfl
 #align affine_equiv.symm_to_equiv AffineEquiv.symm_toEquiv
 
+/- warning: affine_equiv.symm_linear -> AffineEquiv.symm_linear is a dubious translation:
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 @[simp]
 theorem symm_linear (e : P₁ ≃ᵃ[k] P₂) : e.linear.symm = e.symm.linear :=
   rfl
 #align affine_equiv.symm_linear AffineEquiv.symm_linear
 
+#print AffineEquiv.Simps.apply /-
 /-- See Note [custom simps projection] -/
 def Simps.apply (e : P₁ ≃ᵃ[k] P₂) : P₁ → P₂ :=
   e
 #align affine_equiv.simps.apply AffineEquiv.Simps.apply
+-/
 
+#print AffineEquiv.Simps.symmApply /-
 /-- See Note [custom simps projection] -/
 def Simps.symmApply (e : P₁ ≃ᵃ[k] P₂) : P₂ → P₁ :=
   e.symm
 #align affine_equiv.simps.symm_apply AffineEquiv.Simps.symmApply
+-/
 
 initialize_simps_projections AffineEquiv (to_equiv_to_fun → apply, to_equiv_inv_fun → symm_apply,
   linear → linear, as_prefix linear, -toEquiv)
 
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 protected theorem bijective (e : P₁ ≃ᵃ[k] P₂) : Bijective e :=
   e.toEquiv.Bijective
 #align affine_equiv.bijective AffineEquiv.bijective
 
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 protected theorem surjective (e : P₁ ≃ᵃ[k] P₂) : Surjective e :=
   e.toEquiv.Surjective
 #align affine_equiv.surjective AffineEquiv.surjective
 
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.injective AffineEquiv.injectiveₓ'. -/
 protected theorem injective (e : P₁ ≃ᵃ[k] P₂) : Injective e :=
   e.toEquiv.Injective
 #align affine_equiv.injective AffineEquiv.injective
 
+#print AffineEquiv.ofBijective /-
 /-- Bijective affine maps are affine isomorphisms. -/
 @[simps]
 noncomputable def ofBijective {φ : P₁ →ᵃ[k] P₂} (hφ : Function.Bijective φ) : P₁ ≃ᵃ[k] P₂ :=
@@ -246,41 +393,90 @@ noncomputable def ofBijective {φ : P₁ →ᵃ[k] P₂} (hφ : Function.Bijecti
     linear := LinearEquiv.ofBijective φ.linear (φ.linear_bijective_iff.mpr hφ)
     map_vadd' := φ.map_vadd }
 #align affine_equiv.of_bijective AffineEquiv.ofBijective
+-/
 
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 theorem ofBijective.symm_eq {φ : P₁ →ᵃ[k] P₂} (hφ : Function.Bijective φ) :
     (ofBijective hφ).symm.toEquiv = (Equiv.ofBijective _ hφ).symm :=
   rfl
 #align affine_equiv.of_bijective.symm_eq AffineEquiv.ofBijective.symm_eq
 
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 @[simp]
 theorem range_eq (e : P₁ ≃ᵃ[k] P₂) : range e = univ :=
   e.Surjective.range_eq
 #align affine_equiv.range_eq AffineEquiv.range_eq
 
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 @[simp]
 theorem apply_symm_apply (e : P₁ ≃ᵃ[k] P₂) (p : P₂) : e (e.symm p) = p :=
   e.toEquiv.apply_symm_apply p
 #align affine_equiv.apply_symm_apply AffineEquiv.apply_symm_apply
 
+/- warning: affine_equiv.symm_apply_apply -> AffineEquiv.symm_apply_apply is a dubious translation:
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 @[simp]
 theorem symm_apply_apply (e : P₁ ≃ᵃ[k] P₂) (p : P₁) : e.symm (e p) = p :=
   e.toEquiv.symm_apply_apply p
 #align affine_equiv.symm_apply_apply AffineEquiv.symm_apply_apply
 
+/- warning: affine_equiv.apply_eq_iff_eq_symm_apply -> AffineEquiv.apply_eq_iff_eq_symm_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.apply_eq_iff_eq_symm_apply AffineEquiv.apply_eq_iff_eq_symm_applyₓ'. -/
 theorem apply_eq_iff_eq_symm_apply (e : P₁ ≃ᵃ[k] P₂) {p₁ p₂} : e p₁ = p₂ ↔ p₁ = e.symm p₂ :=
   e.toEquiv.apply_eq_iff_eq_symm_apply
 #align affine_equiv.apply_eq_iff_eq_symm_apply AffineEquiv.apply_eq_iff_eq_symm_apply
 
+/- warning: affine_equiv.apply_eq_iff_eq -> AffineEquiv.apply_eq_iff_eq is a dubious translation:
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 @[simp]
 theorem apply_eq_iff_eq (e : P₁ ≃ᵃ[k] P₂) {p₁ p₂ : P₁} : e p₁ = e p₂ ↔ p₁ = p₂ :=
   e.toEquiv.apply_eq_iff_eq
 #align affine_equiv.apply_eq_iff_eq AffineEquiv.apply_eq_iff_eq
 
+/- warning: affine_equiv.image_symm -> AffineEquiv.image_symm is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.image_symm AffineEquiv.image_symmₓ'. -/
 @[simp]
 theorem image_symm (f : P₁ ≃ᵃ[k] P₂) (s : Set P₂) : f.symm '' s = f ⁻¹' s :=
   f.symm.toEquiv.image_eq_preimage _
 #align affine_equiv.image_symm AffineEquiv.image_symm
 
+/- warning: affine_equiv.preimage_symm -> AffineEquiv.preimage_symm is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.preimage_symm AffineEquiv.preimage_symmₓ'. -/
 @[simp]
 theorem preimage_symm (f : P₁ ≃ᵃ[k] P₂) (s : Set P₁) : f.symm ⁻¹' s = f '' s :=
   (f.symm.image_symm _).symm
@@ -290,6 +486,7 @@ variable (k P₁)
 
 omit V₂
 
+#print AffineEquiv.refl /-
 /-- Identity map as an `affine_equiv`. -/
 @[refl]
 def refl : P₁ ≃ᵃ[k] P₁ where
@@ -297,32 +494,69 @@ def refl : P₁ ≃ᵃ[k] P₁ where
   linear := LinearEquiv.refl k V₁
   map_vadd' _ _ := rfl
 #align affine_equiv.refl AffineEquiv.refl
+-/
 
+/- warning: affine_equiv.coe_refl -> AffineEquiv.coe_refl is a dubious translation:
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 @[simp]
 theorem coe_refl : ⇑(refl k P₁) = id :=
   rfl
 #align affine_equiv.coe_refl AffineEquiv.coe_refl
 
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 @[simp]
 theorem coe_refl_to_affineMap : ↑(refl k P₁) = AffineMap.id k P₁ :=
   rfl
 #align affine_equiv.coe_refl_to_affine_map AffineEquiv.coe_refl_to_affineMap
 
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 @[simp]
 theorem refl_apply (x : P₁) : refl k P₁ x = x :=
   rfl
 #align affine_equiv.refl_apply AffineEquiv.refl_apply
 
+/- warning: affine_equiv.to_equiv_refl -> AffineEquiv.toEquiv_refl is a dubious translation:
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 @[simp]
 theorem toEquiv_refl : (refl k P₁).toEquiv = Equiv.refl P₁ :=
   rfl
 #align affine_equiv.to_equiv_refl AffineEquiv.toEquiv_refl
 
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 @[simp]
 theorem linear_refl : (refl k P₁).linear = LinearEquiv.refl k V₁ :=
   rfl
 #align affine_equiv.linear_refl AffineEquiv.linear_refl
 
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 @[simp]
 theorem symm_refl : (refl k P₁).symm = refl k P₁ :=
   rfl
@@ -332,6 +566,7 @@ variable {k P₁}
 
 include V₂ V₃
 
+#print AffineEquiv.trans /-
 /-- Composition of two `affine_equiv`alences, applied left to right. -/
 @[trans]
 def trans (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) : P₁ ≃ᵃ[k] P₃
@@ -341,18 +576,37 @@ def trans (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) : P₁ ≃ᵃ[k]
   map_vadd' p v := by
     simp only [LinearEquiv.trans_apply, coe_to_equiv, (· ∘ ·), Equiv.coe_trans, map_vadd]
 #align affine_equiv.trans AffineEquiv.trans
+-/
 
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 @[simp]
 theorem coe_trans (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) : ⇑(e.trans e') = e' ∘ e :=
   rfl
 #align affine_equiv.coe_trans AffineEquiv.coe_trans
 
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 @[simp]
 theorem coe_trans_to_affineMap (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) :
     (e.trans e' : P₁ →ᵃ[k] P₃) = (e' : P₂ →ᵃ[k] P₃).comp e :=
   rfl
 #align affine_equiv.coe_trans_to_affine_map AffineEquiv.coe_trans_to_affineMap
 
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.trans_apply AffineEquiv.trans_applyₓ'. -/
 @[simp]
 theorem trans_apply (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) (p : P₁) : e.trans e' p = e' (e p) :=
   rfl
@@ -360,6 +614,12 @@ theorem trans_apply (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) (p : P
 
 include V₄
 
+/- warning: affine_equiv.trans_assoc -> AffineEquiv.trans_assoc is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.trans_assoc AffineEquiv.trans_assocₓ'. -/
 theorem trans_assoc (e₁ : P₁ ≃ᵃ[k] P₂) (e₂ : P₂ ≃ᵃ[k] P₃) (e₃ : P₃ ≃ᵃ[k] P₄) :
     (e₁.trans e₂).trans e₃ = e₁.trans (e₂.trans e₃) :=
   ext fun _ => rfl
@@ -367,26 +627,56 @@ theorem trans_assoc (e₁ : P₁ ≃ᵃ[k] P₂) (e₂ : P₂ ≃ᵃ[k] P₃) (e
 
 omit V₃ V₄
 
+/- warning: affine_equiv.trans_refl -> AffineEquiv.trans_refl is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.trans_refl AffineEquiv.trans_reflₓ'. -/
 @[simp]
 theorem trans_refl (e : P₁ ≃ᵃ[k] P₂) : e.trans (refl k P₂) = e :=
   ext fun _ => rfl
 #align affine_equiv.trans_refl AffineEquiv.trans_refl
 
+/- warning: affine_equiv.refl_trans -> AffineEquiv.refl_trans is a dubious translation:
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 @[simp]
 theorem refl_trans (e : P₁ ≃ᵃ[k] P₂) : (refl k P₁).trans e = e :=
   ext fun _ => rfl
 #align affine_equiv.refl_trans AffineEquiv.refl_trans
 
+/- warning: affine_equiv.self_trans_symm -> AffineEquiv.self_trans_symm is a dubious translation:
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 @[simp]
 theorem self_trans_symm (e : P₁ ≃ᵃ[k] P₂) : e.trans e.symm = refl k P₁ :=
   ext e.symm_apply_apply
 #align affine_equiv.self_trans_symm AffineEquiv.self_trans_symm
 
+/- warning: affine_equiv.symm_trans_self -> AffineEquiv.symm_trans_self is a dubious translation:
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 @[simp]
 theorem symm_trans_self (e : P₁ ≃ᵃ[k] P₂) : e.symm.trans e = refl k P₂ :=
   ext e.apply_symm_apply
 #align affine_equiv.symm_trans_self AffineEquiv.symm_trans_self
 
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 @[simp]
 theorem apply_lineMap (e : P₁ ≃ᵃ[k] P₂) (a b : P₁) (c : k) :
     e (AffineMap.lineMap a b c) = AffineMap.lineMap (e a) (e b) c :=
@@ -404,28 +694,59 @@ instance : Group (P₁ ≃ᵃ[k] P₁) where
   mul_one := refl_trans
   mul_left_inv := self_trans_symm
 
+/- warning: affine_equiv.one_def -> AffineEquiv.one_def is a dubious translation:
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 theorem one_def : (1 : P₁ ≃ᵃ[k] P₁) = refl k P₁ :=
   rfl
 #align affine_equiv.one_def AffineEquiv.one_def
 
+/- warning: affine_equiv.coe_one -> AffineEquiv.coe_one is a dubious translation:
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 @[simp]
 theorem coe_one : ⇑(1 : P₁ ≃ᵃ[k] P₁) = id :=
   rfl
 #align affine_equiv.coe_one AffineEquiv.coe_one
 
+/- warning: affine_equiv.mul_def -> AffineEquiv.mul_def is a dubious translation:
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 theorem mul_def (e e' : P₁ ≃ᵃ[k] P₁) : e * e' = e'.trans e :=
   rfl
 #align affine_equiv.mul_def AffineEquiv.mul_def
 
+/- warning: affine_equiv.coe_mul -> AffineEquiv.coe_mul is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_mul AffineEquiv.coe_mulₓ'. -/
 @[simp]
 theorem coe_mul (e e' : P₁ ≃ᵃ[k] P₁) : ⇑(e * e') = e ∘ e' :=
   rfl
 #align affine_equiv.coe_mul AffineEquiv.coe_mul
 
+/- warning: affine_equiv.inv_def -> AffineEquiv.inv_def is a dubious translation:
+lean 3 declaration is
+  forall {k : Type.{u1}} {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)] (e : AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4), Eq.{succ (max u2 u3)} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Inv.inv.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (DivInvMonoid.toHasInv.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Group.toDivInvMonoid.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.group.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4))) e) (AffineEquiv.symm.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4 e)
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.inv_def AffineEquiv.inv_defₓ'. -/
 theorem inv_def (e : P₁ ≃ᵃ[k] P₁) : e⁻¹ = e.symm :=
   rfl
 #align affine_equiv.inv_def AffineEquiv.inv_def
 
+#print AffineEquiv.linearHom /-
 /-- `affine_equiv.linear` on automorphisms is a `monoid_hom`. -/
 @[simps]
 def linearHom : (P₁ ≃ᵃ[k] P₁) →* V₁ ≃ₗ[k] V₁
@@ -434,7 +755,14 @@ def linearHom : (P₁ ≃ᵃ[k] P₁) →* V₁ ≃ₗ[k] V₁
   map_one' := rfl
   map_mul' _ _ := rfl
 #align affine_equiv.linear_hom AffineEquiv.linearHom
+-/
 
+/- warning: affine_equiv.equiv_units_affine_map -> AffineEquiv.equivUnitsAffineMap is a dubious translation:
+lean 3 declaration is
+  forall {k : Type.{u1}} {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)], MulEquiv.{max u2 u3, max u3 u2} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Units.{max u3 u2} (AffineMap.{u1, u3, u2, u3, u2} k V₁ P₁ V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineMap.monoid.{u1, u3, u2} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4)) (MulOneClass.toHasMul.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Monoid.toMulOneClass.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (DivInvMonoid.toMonoid.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Group.toDivInvMonoid.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.group.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4))))) (MulOneClass.toHasMul.{max u3 u2} (Units.{max u3 u2} (AffineMap.{u1, u3, u2, u3, u2} k V₁ P₁ V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineMap.monoid.{u1, u3, u2} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4)) (Units.mulOneClass.{max u3 u2} (AffineMap.{u1, u3, u2, u3, u2} k V₁ P₁ V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineMap.monoid.{u1, u3, u2} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4)))
+but is expected to have type
+  forall {k : Type.{u1}} {P₁ : Type.{u2}} {V₁ : Type.{u3}} [_inst_1 : Ring.{u1} k] [_inst_2 : AddCommGroup.{u3} V₁] [_inst_3 : Module.{u1, u3} k V₁ (Ring.toSemiring.{u1} k _inst_1) (AddCommGroup.toAddCommMonoid.{u3} V₁ _inst_2)] [_inst_4 : AddTorsor.{u3, u2} V₁ P₁ (AddCommGroup.toAddGroup.{u3} V₁ _inst_2)], MulEquiv.{max u3 u2, max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Units.{max u2 u3} (AffineMap.{u1, u3, u2, u3, u2} k V₁ P₁ V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineMap.instMonoidAffineMap.{u1, u3, u2} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4)) (MulOneClass.toMul.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Monoid.toMulOneClass.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (DivInvMonoid.toMonoid.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (Group.toDivInvMonoid.{max u2 u3} (AffineEquiv.{u1, u2, u2, u3, u3} k P₁ P₁ V₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineEquiv.group.{u1, u2, u3} k P₁ V₁ _inst_1 _inst_2 _inst_3 _inst_4))))) (MulOneClass.toMul.{max u2 u3} (Units.{max u2 u3} (AffineMap.{u1, u3, u2, u3, u2} k V₁ P₁ V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineMap.instMonoidAffineMap.{u1, u3, u2} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4)) (Units.instMulOneClassUnits.{max u2 u3} (AffineMap.{u1, u3, u2, u3, u2} k V₁ P₁ V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4 _inst_2 _inst_3 _inst_4) (AffineMap.instMonoidAffineMap.{u1, u3, u2} k V₁ P₁ _inst_1 _inst_2 _inst_3 _inst_4)))
+Case conversion may be inaccurate. Consider using '#align affine_equiv.equiv_units_affine_map AffineEquiv.equivUnitsAffineMapₓ'. -/
 /-- The group of `affine_equiv`s are equivalent to the group of units of `affine_map`.
 
 This is the affine version of `linear_map.general_linear_group.general_linear_equiv`. -/
@@ -457,6 +785,7 @@ def equivUnitsAffineMap : (P₁ ≃ᵃ[k] P₁) ≃* (P₁ →ᵃ[k] P₁)ˣ
 
 variable (k)
 
+#print AffineEquiv.vaddConst /-
 /-- The map `v ↦ v +ᵥ b` as an affine equivalence between a module `V` and an affine space `P` with
 tangent space `V`. -/
 @[simps]
@@ -466,71 +795,120 @@ def vaddConst (b : P₁) : V₁ ≃ᵃ[k] P₁
   linear := LinearEquiv.refl _ _
   map_vadd' p v := add_vadd _ _ _
 #align affine_equiv.vadd_const AffineEquiv.vaddConst
+-/
 
+#print AffineEquiv.constVSub /-
 /-- `p' ↦ p -ᵥ p'` as an equivalence. -/
-def constVsub (p : P₁) : P₁ ≃ᵃ[k] V₁
+def constVSub (p : P₁) : P₁ ≃ᵃ[k] V₁
     where
   toEquiv := Equiv.constVSub p
   linear := LinearEquiv.neg k
   map_vadd' p' v := by simp [vsub_vadd_eq_vsub_sub, neg_add_eq_sub]
-#align affine_equiv.const_vsub AffineEquiv.constVsub
+#align affine_equiv.const_vsub AffineEquiv.constVSub
+-/
 
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 @[simp]
-theorem coe_constVsub (p : P₁) : ⇑(constVsub k p) = (· -ᵥ ·) p :=
+theorem coe_constVSub (p : P₁) : ⇑(constVSub k p) = (· -ᵥ ·) p :=
   rfl
-#align affine_equiv.coe_const_vsub AffineEquiv.coe_constVsub
-
+#align affine_equiv.coe_const_vsub AffineEquiv.coe_constVSub
+
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 @[simp]
-theorem coe_constVsub_symm (p : P₁) : ⇑(constVsub k p).symm = fun v => -v +ᵥ p :=
+theorem coe_constVSub_symm (p : P₁) : ⇑(constVSub k p).symm = fun v => -v +ᵥ p :=
   rfl
-#align affine_equiv.coe_const_vsub_symm AffineEquiv.coe_constVsub_symm
+#align affine_equiv.coe_const_vsub_symm AffineEquiv.coe_constVSub_symm
 
 variable (P₁)
 
+#print AffineEquiv.constVAdd /-
 /-- The map `p ↦ v +ᵥ p` as an affine automorphism of an affine space.
 
 Note that there is no need for an `affine_map.const_vadd` as it is always an equivalence.
 This is roughly to `distrib_mul_action.to_linear_equiv` as `+ᵥ` is to `•`. -/
 @[simps apply linear]
-def constVadd (v : V₁) : P₁ ≃ᵃ[k] P₁
+def constVAdd (v : V₁) : P₁ ≃ᵃ[k] P₁
     where
   toEquiv := Equiv.constVAdd P₁ v
   linear := LinearEquiv.refl _ _
   map_vadd' p w := vadd_comm _ _ _
-#align affine_equiv.const_vadd AffineEquiv.constVadd
+#align affine_equiv.const_vadd AffineEquiv.constVAdd
+-/
 
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 @[simp]
-theorem constVadd_zero : constVadd k P₁ 0 = AffineEquiv.refl _ _ :=
+theorem constVAdd_zero : constVAdd k P₁ 0 = AffineEquiv.refl _ _ :=
   ext <| zero_vadd _
-#align affine_equiv.const_vadd_zero AffineEquiv.constVadd_zero
-
+#align affine_equiv.const_vadd_zero AffineEquiv.constVAdd_zero
+
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 @[simp]
-theorem constVadd_add (v w : V₁) :
-    constVadd k P₁ (v + w) = (constVadd k P₁ w).trans (constVadd k P₁ v) :=
+theorem constVAdd_add (v w : V₁) :
+    constVAdd k P₁ (v + w) = (constVAdd k P₁ w).trans (constVAdd k P₁ v) :=
   ext <| add_vadd _ _
-#align affine_equiv.const_vadd_add AffineEquiv.constVadd_add
-
+#align affine_equiv.const_vadd_add AffineEquiv.constVAdd_add
+
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.const_vadd_symm AffineEquiv.constVAdd_symmₓ'. -/
 @[simp]
-theorem constVadd_symm (v : V₁) : (constVadd k P₁ v).symm = constVadd k P₁ (-v) :=
+theorem constVAdd_symm (v : V₁) : (constVAdd k P₁ v).symm = constVAdd k P₁ (-v) :=
   ext fun _ => rfl
-#align affine_equiv.const_vadd_symm AffineEquiv.constVadd_symm
+#align affine_equiv.const_vadd_symm AffineEquiv.constVAdd_symm
 
+#print AffineEquiv.constVAddHom /-
 /-- A more bundled version of `affine_equiv.const_vadd`. -/
 @[simps]
-def constVaddHom : Multiplicative V₁ →* P₁ ≃ᵃ[k] P₁
+def constVAddHom : Multiplicative V₁ →* P₁ ≃ᵃ[k] P₁
     where
-  toFun v := constVadd k P₁ v.toAdd
-  map_one' := constVadd_zero _ _
-  map_mul' := constVadd_add _ _
-#align affine_equiv.const_vadd_hom AffineEquiv.constVaddHom
-
-theorem constVadd_nsmul (n : ℕ) (v : V₁) : constVadd k P₁ (n • v) = constVadd k P₁ v ^ n :=
-  (constVaddHom k P₁).map_pow _ _
-#align affine_equiv.const_vadd_nsmul AffineEquiv.constVadd_nsmul
+  toFun v := constVAdd k P₁ v.toAdd
+  map_one' := constVAdd_zero _ _
+  map_mul' := constVAdd_add _ _
+#align affine_equiv.const_vadd_hom AffineEquiv.constVAddHom
+-/
 
-theorem constVadd_zsmul (z : ℤ) (v : V₁) : constVadd k P₁ (z • v) = constVadd k P₁ v ^ z :=
-  (constVaddHom k P₁).map_zpow _ _
-#align affine_equiv.const_vadd_zsmul AffineEquiv.constVadd_zsmul
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.const_vadd_nsmul AffineEquiv.constVAdd_nsmulₓ'. -/
+theorem constVAdd_nsmul (n : ℕ) (v : V₁) : constVAdd k P₁ (n • v) = constVAdd k P₁ v ^ n :=
+  (constVAddHom k P₁).map_pow _ _
+#align affine_equiv.const_vadd_nsmul AffineEquiv.constVAdd_nsmul
+
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.const_vadd_zsmul AffineEquiv.constVAdd_zsmulₓ'. -/
+theorem constVAdd_zsmul (z : ℤ) (v : V₁) : constVAdd k P₁ (z • v) = constVAdd k P₁ v ^ z :=
+  (constVAddHom k P₁).map_zpow _ _
+#align affine_equiv.const_vadd_zsmul AffineEquiv.constVAdd_zsmul
 
 section Homothety
 
@@ -540,24 +918,48 @@ variable {R V P : Type _} [CommRing R] [AddCommGroup V] [Module R V] [affine_spa
 
 include V
 
+/- warning: affine_equiv.homothety_units_mul_hom -> AffineEquiv.homothetyUnitsMulHom is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.homothety_units_mul_hom AffineEquiv.homothetyUnitsMulHomₓ'. -/
 /-- Fixing a point in affine space, homothety about this point gives a group homomorphism from (the
 centre of) the units of the scalars into the group of affine equivalences. -/
 def homothetyUnitsMulHom (p : P) : Rˣ →* P ≃ᵃ[R] P :=
   equivUnitsAffineMap.symm.toMonoidHom.comp <| Units.map (AffineMap.homothetyHom p)
 #align affine_equiv.homothety_units_mul_hom AffineEquiv.homothetyUnitsMulHom
 
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+lean 3 declaration is
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(Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (fun (_x : MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t)) (coeFn.{max (succ u3) (succ u2), succ u3} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (fun (_x : AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineEquiv.hasCoeToFun.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (coeFn.{max (succ (max u3 u2)) (succ u1), max (succ u1) (succ (max u3 u2))} (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (fun (_x : MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) => (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) -> (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.mulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t)) (coeFn.{max (succ u2) (succ u3), succ u3} (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (fun (_x : AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineMap.hasCoeToFun.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_17 _inst_16 p ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (HasLiftT.mk.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (CoeTCₓ.coe.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (coeBase.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (Units.hasCoe.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14)))))) t)))
+but is expected to have type
+  forall {R : Type.{u3}} {V : Type.{u1}} {P : Type.{u2}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u1} V] [_inst_16 : Module.{u3, u1} R V (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_15)] [_inst_17 : AddTorsor.{u1, u2} V P (AddCommGroup.toAddGroup.{u1} V _inst_15)] (p : P) (t : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))), Eq.{succ u2} (forall (a : P), (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1471 : P) => P) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P P (AffineEquiv.equivLike.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17))) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), succ u3, max (succ u1) (succ u2)} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (fun (_x : Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Units.{u3} R 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_inst_14)))))) (MulOneClass.toMul.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))) (MonoidHomClass.toMulHomClass.{max (max u1 u2) u3, u3, max u1 u2} (MonoidHom.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R 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(MonoidHom.monoidHomClass.{u3, max u1 u2} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Units.instMulOneClassUnits.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (Monoid.toMulOneClass.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u1 u2} (AffineEquiv.{u3, u2, u2, u1, u1} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u3, u2, u1} R P V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17))))))) (AffineEquiv.homothetyUnitsMulHom.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_16 _inst_17 p) t)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u2} (AffineMap.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u3, u1, u2, u1, u2} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.homothety.{u3, u1, u2} R V P _inst_14 _inst_15 _inst_17 _inst_16 p (Units.val.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14)))) t)))
+Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_homothety_units_mul_hom_apply AffineEquiv.coe_homothetyUnitsMulHom_applyₓ'. -/
 @[simp]
 theorem coe_homothetyUnitsMulHom_apply (p : P) (t : Rˣ) :
     (homothetyUnitsMulHom p t : P → P) = AffineMap.homothety p (t : R) :=
   rfl
 #align affine_equiv.coe_homothety_units_mul_hom_apply AffineEquiv.coe_homothetyUnitsMulHom_apply
 
+/- warning: affine_equiv.coe_homothety_units_mul_hom_apply_symm -> AffineEquiv.coe_homothetyUnitsMulHom_apply_symm is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {V : Type.{u2}} {P : Type.{u3}} [_inst_14 : CommRing.{u1} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u1, u2} R V (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u3} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)] (p : P) (t : Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))), Eq.{succ u3} ((fun (_x : AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) => P -> P) (AffineEquiv.symm.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17 (coeFn.{max (succ (max u3 u2)) (succ u1), max (succ u1) (succ (max u3 u2))} (MonoidHom.{u1, max u3 u2} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_homothety_units_mul_hom_apply_symm AffineEquiv.coe_homothetyUnitsMulHom_apply_symmₓ'. -/
 @[simp]
 theorem coe_homothetyUnitsMulHom_apply_symm (p : P) (t : Rˣ) :
     ((homothetyUnitsMulHom p t).symm : P → P) = AffineMap.homothety p (↑t⁻¹ : R) :=
   rfl
 #align affine_equiv.coe_homothety_units_mul_hom_apply_symm AffineEquiv.coe_homothetyUnitsMulHom_apply_symm
 
+/- warning: affine_equiv.coe_homothety_units_mul_hom_eq_homothety_hom_coe -> AffineEquiv.coe_homothetyUnitsMulHom_eq_homothetyHom_coe is a dubious translation:
+lean 3 declaration is
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(Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) (Monoid.toMulOneClass.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (DivInvMonoid.toMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (Group.toDivInvMonoid.{max u3 u2} (AffineEquiv.{u1, u3, u3, u2, u2} R P P V V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineEquiv.group.{u1, u3, u2} R P V (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))))) (AffineEquiv.homothetyUnitsMulHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_16 _inst_17 p))) (Function.comp.{succ u1, succ u1, max (succ u2) (succ u3)} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (coeFn.{max (succ (max u2 u3)) (succ u1), max (succ u1) (succ (max u2 u3))} (MonoidHom.{u1, max u2 u3} R (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u3} (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.monoid.{u1, u2, u3} R V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))) (fun (_x : MonoidHom.{u1, max u2 u3} R (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u3} (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.monoid.{u1, u2, u3} R V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))) => R -> (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (MonoidHom.hasCoeToFun.{u1, max u2 u3} R (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_14))))) (Monoid.toMulOneClass.{max u2 u3} (AffineMap.{u1, u2, u3, u2, u3} R V P V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17) (AffineMap.monoid.{u1, u2, u3} R V P (CommRing.toRing.{u1} R _inst_14) _inst_15 _inst_16 _inst_17))) (AffineMap.homothetyHom.{u1, u2, u3} R V P _inst_14 _inst_15 _inst_17 _inst_16 p)) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (HasLiftT.mk.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (CoeTCₓ.coe.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (coeBase.{succ u1, succ u1} (Units.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))) R (Units.hasCoe.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_14))))))))
+but is expected to have type
+  forall {R : Type.{u3}} {V : Type.{u2}} {P : Type.{u1}} [_inst_14 : CommRing.{u3} R] [_inst_15 : AddCommGroup.{u2} V] [_inst_16 : Module.{u3, u2} R V (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_15)] [_inst_17 : AddTorsor.{u2, u1} V P (AddCommGroup.toAddGroup.{u2} V _inst_15)] (p : P), Eq.{max (max (succ u3) (succ u2)) (succ u1)} ((Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) -> (AffineMap.{u3, u2, u1, u2, u1} R V P V P (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 _inst_16 _inst_17)) (Function.comp.{succ u3, max (succ u2) (succ u1), max (succ u2) (succ u1)} (Units.{u3} R (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_14))))) (AffineEquiv.{u3, u1, u1, u2, u2} R P P V V (CommRing.toRing.{u3} R _inst_14) _inst_15 _inst_16 _inst_17 _inst_15 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+Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_homothety_units_mul_hom_eq_homothety_hom_coe AffineEquiv.coe_homothetyUnitsMulHom_eq_homothetyHom_coeₓ'. -/
 @[simp]
 theorem coe_homothetyUnitsMulHom_eq_homothetyHom_coe (p : P) :
     (coe : (P ≃ᵃ[R] P) → P →ᵃ[R] P) ∘ homothetyUnitsMulHom p =
@@ -571,35 +973,73 @@ variable {P₁}
 
 open Function
 
+#print AffineEquiv.pointReflection /-
 /-- Point reflection in `x` as a permutation. -/
 def pointReflection (x : P₁) : P₁ ≃ᵃ[k] P₁ :=
-  (constVsub k x).trans (vaddConst k x)
+  (constVSub k x).trans (vaddConst k x)
 #align affine_equiv.point_reflection AffineEquiv.pointReflection
+-/
 
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 theorem pointReflection_apply (x y : P₁) : pointReflection k x y = x -ᵥ y +ᵥ x :=
   rfl
 #align affine_equiv.point_reflection_apply AffineEquiv.pointReflection_apply
 
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 @[simp]
 theorem pointReflection_symm (x : P₁) : (pointReflection k x).symm = pointReflection k x :=
   toEquiv_injective <| Equiv.pointReflection_symm x
 #align affine_equiv.point_reflection_symm AffineEquiv.pointReflection_symm
 
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 @[simp]
 theorem toEquiv_pointReflection (x : P₁) :
     (pointReflection k x).toEquiv = Equiv.pointReflection x :=
   rfl
 #align affine_equiv.to_equiv_point_reflection AffineEquiv.toEquiv_pointReflection
 
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 @[simp]
 theorem pointReflection_self (x : P₁) : pointReflection k x x = x :=
   vsub_vadd _ _
 #align affine_equiv.point_reflection_self AffineEquiv.pointReflection_self
 
+/- warning: affine_equiv.point_reflection_involutive -> AffineEquiv.pointReflection_involutive is a dubious translation:
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 theorem pointReflection_involutive (x : P₁) : Involutive (pointReflection k x : P₁ → P₁) :=
   Equiv.pointReflection_involutive x
 #align affine_equiv.point_reflection_involutive AffineEquiv.pointReflection_involutive
 
+/- warning: affine_equiv.point_reflection_fixed_iff_of_injective_bit0 -> AffineEquiv.pointReflection_fixed_iff_of_injective_bit0 is a dubious translation:
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 /-- `x` is the only fixed point of `point_reflection x`. This lemma requires
 `x + x = y + y ↔ x = y`. There is no typeclass to use here, so we add it as an explicit argument. -/
 theorem pointReflection_fixed_iff_of_injective_bit0 {x y : P₁} (h : Injective (bit0 : V₁ → V₁)) :
@@ -607,11 +1047,23 @@ theorem pointReflection_fixed_iff_of_injective_bit0 {x y : P₁} (h : Injective
   Equiv.pointReflection_fixed_iff_of_injective_bit0 h
 #align affine_equiv.point_reflection_fixed_iff_of_injective_bit0 AffineEquiv.pointReflection_fixed_iff_of_injective_bit0
 
+/- warning: affine_equiv.injective_point_reflection_left_of_injective_bit0 -> AffineEquiv.injective_pointReflection_left_of_injective_bit0 is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.injective_point_reflection_left_of_injective_bit0 AffineEquiv.injective_pointReflection_left_of_injective_bit0ₓ'. -/
 theorem injective_pointReflection_left_of_injective_bit0 (h : Injective (bit0 : V₁ → V₁)) (y : P₁) :
     Injective fun x : P₁ => pointReflection k x y :=
   Equiv.injective_pointReflection_left_of_injective_bit0 h y
 #align affine_equiv.injective_point_reflection_left_of_injective_bit0 AffineEquiv.injective_pointReflection_left_of_injective_bit0
 
+/- warning: affine_equiv.injective_point_reflection_left_of_module -> AffineEquiv.injective_pointReflection_left_of_module is a dubious translation:
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 theorem injective_pointReflection_left_of_module [Invertible (2 : k)] :
     ∀ y, Injective fun x : P₁ => pointReflection k x y :=
   injective_pointReflection_left_of_injective_bit0 k fun x y h => by
@@ -619,6 +1071,12 @@ theorem injective_pointReflection_left_of_module [Invertible (2 : k)] :
       (isUnit_of_invertible (2 : k)).smul_left_cancel] at h
 #align affine_equiv.injective_point_reflection_left_of_module AffineEquiv.injective_pointReflection_left_of_module
 
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+Case conversion may be inaccurate. Consider using '#align affine_equiv.point_reflection_fixed_iff_of_module AffineEquiv.pointReflection_fixed_iff_of_moduleₓ'. -/
 theorem pointReflection_fixed_iff_of_module [Invertible (2 : k)] {x y : P₁} :
     pointReflection k x y = y ↔ y = x :=
   ((injective_pointReflection_left_of_module k y).eq_iff' (pointReflection_self k y)).trans eq_comm
@@ -628,6 +1086,7 @@ end AffineEquiv
 
 namespace LinearEquiv
 
+#print LinearEquiv.toAffineEquiv /-
 /-- Interpret a linear equivalence between modules as an affine equivalence. -/
 def toAffineEquiv (e : V₁ ≃ₗ[k] V₂) : V₁ ≃ᵃ[k] V₂
     where
@@ -635,7 +1094,14 @@ def toAffineEquiv (e : V₁ ≃ₗ[k] V₂) : V₁ ≃ᵃ[k] V₂
   linear := e
   map_vadd' p v := e.map_add v p
 #align linear_equiv.to_affine_equiv LinearEquiv.toAffineEquiv
+-/
 
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+Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_affine_equiv LinearEquiv.coe_toAffineEquivₓ'. -/
 @[simp]
 theorem coe_toAffineEquiv (e : V₁ ≃ₗ[k] V₂) : ⇑e.toAffineEquiv = e :=
   rfl
@@ -649,28 +1115,50 @@ open AffineEquiv
 
 include V₁
 
+/- warning: affine_map.line_map_vadd -> AffineMap.lineMap_vadd is a dubious translation:
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 theorem lineMap_vadd (v v' : V₁) (p : P₁) (c : k) :
     lineMap v v' c +ᵥ p = lineMap (v +ᵥ p) (v' +ᵥ p) c :=
   (vaddConst k p).apply_lineMap v v' c
 #align affine_map.line_map_vadd AffineMap.lineMap_vadd
 
+#print AffineMap.lineMap_vsub /-
 theorem lineMap_vsub (p₁ p₂ p₃ : P₁) (c : k) :
     lineMap p₁ p₂ c -ᵥ p₃ = lineMap (p₁ -ᵥ p₃) (p₂ -ᵥ p₃) c :=
   (vaddConst k p₃).symm.apply_lineMap p₁ p₂ c
 #align affine_map.line_map_vsub AffineMap.lineMap_vsub
+-/
 
+#print AffineMap.vsub_lineMap /-
 theorem vsub_lineMap (p₁ p₂ p₃ : P₁) (c : k) :
     p₁ -ᵥ lineMap p₂ p₃ c = lineMap (p₁ -ᵥ p₂) (p₁ -ᵥ p₃) c :=
-  (constVsub k p₁).apply_lineMap p₂ p₃ c
+  (constVSub k p₁).apply_lineMap p₂ p₃ c
 #align affine_map.vsub_line_map AffineMap.vsub_lineMap
+-/
 
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+Case conversion may be inaccurate. Consider using '#align affine_map.vadd_line_map AffineMap.vadd_lineMapₓ'. -/
 theorem vadd_lineMap (v : V₁) (p₁ p₂ : P₁) (c : k) :
     v +ᵥ lineMap p₁ p₂ c = lineMap (v +ᵥ p₁) (v +ᵥ p₂) c :=
-  (constVadd k P₁ v).apply_lineMap p₁ p₂ c
+  (constVAdd k P₁ v).apply_lineMap p₁ p₂ c
 #align affine_map.vadd_line_map AffineMap.vadd_lineMap
 
 variable {R' : Type _} [CommRing R'] [Module R' V₁]
 
+/- warning: affine_map.homothety_neg_one_apply -> AffineMap.homothety_neg_one_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 affine_map.homothety_neg_one_apply AffineMap.homothety_neg_one_applyₓ'. -/
 theorem homothety_neg_one_apply (c p : P₁) : homothety c (-1 : R') p = pointReflection R' c p := by
   simp [homothety_apply, point_reflection_apply]
 #align affine_map.homothety_neg_one_apply AffineMap.homothety_neg_one_apply

mathlib commit https://github.com/leanprover-community/mathlib/commit/1a313d8bba1bad05faba71a4a4e9742ab5bd9efd

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
 
 ! This file was ported from Lean 3 source module linear_algebra.affine_space.affine_equiv
-! leanprover-community/mathlib commit 2705404e701abc6b3127da906f40bae062a169c9
+! leanprover-community/mathlib commit bd1fc183335ea95a9519a1630bcf901fe9326d83
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -65,8 +65,46 @@ namespace AffineEquiv
 
 include V₁ V₂
 
+/-- Reinterpret an `affine_equiv` as an `affine_map`. -/
+def toAffineMap (e : P₁ ≃ᵃ[k] P₂) : P₁ →ᵃ[k] P₂ :=
+  { e with }
+#align affine_equiv.to_affine_map AffineEquiv.toAffineMap
+
+@[simp]
+theorem toAffineMap_mk (f : P₁ ≃ P₂) (f' : V₁ ≃ₗ[k] V₂) (h) :
+    toAffineMap (mk f f' h) = ⟨f, f', h⟩ :=
+  rfl
+#align affine_equiv.to_affine_map_mk AffineEquiv.toAffineMap_mk
+
+@[simp]
+theorem linear_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : e.toAffineMap.linear = e.linear :=
+  rfl
+#align affine_equiv.linear_to_affine_map AffineEquiv.linear_toAffineMap
+
+theorem toAffineMap_injective : Injective (toAffineMap : (P₁ ≃ᵃ[k] P₂) → P₁ →ᵃ[k] P₂) :=
+  by
+  rintro ⟨e, el, h⟩ ⟨e', el', h'⟩ H
+  simp only [to_affine_map_mk, Equiv.coe_inj, LinearEquiv.toLinearMap_inj] at H
+  congr
+  exacts[H.1, H.2]
+#align affine_equiv.to_affine_map_injective AffineEquiv.toAffineMap_injective
+
+@[simp]
+theorem toAffineMap_inj {e e' : P₁ ≃ᵃ[k] P₂} : e.toAffineMap = e'.toAffineMap ↔ e = e' :=
+  toAffineMap_injective.eq_iff
+#align affine_equiv.to_affine_map_inj AffineEquiv.toAffineMap_inj
+
+instance equivLike : EquivLike (P₁ ≃ᵃ[k] P₂) P₁ P₂
+    where
+  coe f := f.toFun
+  inv f := f.invFun
+  left_inv f := f.left_inv
+  right_inv f := f.right_inv
+  coe_injective' f g h _ := toAffineMap_injective (FunLike.coe_injective h)
+#align affine_equiv.equiv_like AffineEquiv.equivLike
+
 instance : CoeFun (P₁ ≃ᵃ[k] P₂) fun _ => P₁ → P₂ :=
-  ⟨fun e => e.toFun⟩
+  FunLike.hasCoeToFun
 
 instance : Coe (P₁ ≃ᵃ[k] P₂) (P₁ ≃ P₂) :=
   ⟨AffineEquiv.toEquiv⟩
@@ -83,11 +121,6 @@ theorem coe_toEquiv (e : P₁ ≃ᵃ[k] P₂) : ⇑e.toEquiv = e :=
   rfl
 #align affine_equiv.coe_to_equiv AffineEquiv.coe_toEquiv
 
-/-- Reinterpret an `affine_equiv` as an `affine_map`. -/
-def toAffineMap (e : P₁ ≃ᵃ[k] P₂) : P₁ →ᵃ[k] P₂ :=
-  { e with toFun := e }
-#align affine_equiv.to_affine_map AffineEquiv.toAffineMap
-
 instance : Coe (P₁ ≃ᵃ[k] P₂) (P₁ →ᵃ[k] P₂) :=
   ⟨toAffineMap⟩
 
@@ -96,47 +129,23 @@ theorem coe_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : (e.toAffineMap : P₁ → P
   rfl
 #align affine_equiv.coe_to_affine_map AffineEquiv.coe_toAffineMap
 
-@[simp]
-theorem toAffineMap_mk (f : P₁ ≃ P₂) (f' : V₁ ≃ₗ[k] V₂) (h) :
-    toAffineMap (mk f f' h) = ⟨f, f', h⟩ :=
-  rfl
-#align affine_equiv.to_affine_map_mk AffineEquiv.toAffineMap_mk
-
 @[norm_cast, simp]
 theorem coe_coe (e : P₁ ≃ᵃ[k] P₂) : ((e : P₁ →ᵃ[k] P₂) : P₁ → P₂) = e :=
   rfl
 #align affine_equiv.coe_coe AffineEquiv.coe_coe
 
-@[simp]
-theorem linear_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : e.toAffineMap.linear = e.linear :=
-  rfl
-#align affine_equiv.linear_to_affine_map AffineEquiv.linear_toAffineMap
-
 @[simp]
 theorem coe_linear (e : P₁ ≃ᵃ[k] P₂) : (e : P₁ →ᵃ[k] P₂).linear = e.linear :=
   rfl
 #align affine_equiv.coe_linear AffineEquiv.coe_linear
 
-theorem toAffineMap_injective : Injective (toAffineMap : (P₁ ≃ᵃ[k] P₂) → P₁ →ᵃ[k] P₂) :=
-  by
-  rintro ⟨e, el, h⟩ ⟨e', el', h'⟩ H
-  simp only [to_affine_map_mk, Equiv.coe_inj, LinearEquiv.toLinearMap_inj] at H
-  congr
-  exacts[H.1, H.2]
-#align affine_equiv.to_affine_map_injective AffineEquiv.toAffineMap_injective
-
-@[simp]
-theorem toAffineMap_inj {e e' : P₁ ≃ᵃ[k] P₂} : e.toAffineMap = e'.toAffineMap ↔ e = e' :=
-  toAffineMap_injective.eq_iff
-#align affine_equiv.to_affine_map_inj AffineEquiv.toAffineMap_inj
-
 @[ext]
 theorem ext {e e' : P₁ ≃ᵃ[k] P₂} (h : ∀ x, e x = e' x) : e = e' :=
-  toAffineMap_injective <| AffineMap.ext h
+  FunLike.ext _ _ h
 #align affine_equiv.ext AffineEquiv.ext
 
-theorem coeFn_injective : @Injective (P₁ ≃ᵃ[k] P₂) (P₁ → P₂) coeFn := fun e e' H =>
-  ext <| congr_fun H
+theorem coeFn_injective : @Injective (P₁ ≃ᵃ[k] P₂) (P₁ → P₂) coeFn :=
+  FunLike.coe_injective
 #align affine_equiv.coe_fn_injective AffineEquiv.coeFn_injective
 
 @[simp, norm_cast]

mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211

@@ -214,7 +214,7 @@ def Simps.symmApply (e : P₁ ≃ᵃ[k] P₂) : P₂ → P₁ :=
 #align affine_equiv.simps.symm_apply AffineEquiv.Simps.symmApply
 
 initialize_simps_projections AffineEquiv (to_equiv_to_fun → apply, to_equiv_inv_fun → symm_apply,
-  linear → linear as_prefix, -toEquiv)
+  linear → linear, as_prefix linear, -toEquiv)
 
 protected theorem bijective (e : P₁ ≃ᵃ[k] P₂) : Bijective e :=
   e.toEquiv.Bijective

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

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

@@ -43,7 +43,8 @@ such that both forward and inverse maps are affine.
 
 We define it using an `Equiv` for the map and a `LinearEquiv` for the linear part in order
 to allow affine equivalences with good definitional equalities. -/
---@[nolint has_nonempty_instance]
+-- Porting note(#5171): this linter isn't ported yet.
+-- @[nolint has_nonempty_instance]
 structure AffineEquiv (k P₁ P₂ : Type*) {V₁ V₂ : Type*} [Ring k] [AddCommGroup V₁] [Module k V₁]
   [AddTorsor V₁ P₁] [AddCommGroup V₂] [Module k V₂] [AddTorsor V₂ P₂] extends P₁ ≃ P₂ where
   linear : V₁ ≃ₗ[k] V₂

@@ -38,8 +38,8 @@ open Function Set
 
 open Affine
 
-/-- An affine equivalence is an equivalence between affine spaces such that both forward
-and inverse maps are affine.
+/-- An affine equivalence, denoted `P₁ ≃ᵃ[k] P₂`, is an equivalence between affine spaces
+such that both forward and inverse maps are affine.
 
 We define it using an `Equiv` for the map and a `LinearEquiv` for the linear part in order
 to allow affine equivalences with good definitional equalities. -/

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".

@@ -78,7 +78,7 @@ theorem linear_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : e.toAffineMap.linear = e.
 
 theorem toAffineMap_injective : Injective (toAffineMap : (P₁ ≃ᵃ[k] P₂) → P₁ →ᵃ[k] P₂) := by
   rintro ⟨e, el, h⟩ ⟨e', el', h'⟩ H
-  -- porting note: added `AffineMap.mk.injEq`
+  -- Porting note: added `AffineMap.mk.injEq`
   simp only [toAffineMap_mk, AffineMap.mk.injEq, Equiv.coe_inj,
     LinearEquiv.toLinearMap_inj] at H
   congr

This shortens Mathlib.LinearAlgebra.Basic, which is both longer than we like and doesn't have a clear scope.

@@ -4,6 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
 -/
 import Mathlib.LinearAlgebra.AffineSpace.AffineMap
+import Mathlib.LinearAlgebra.Basic
 import Mathlib.LinearAlgebra.GeneralLinearGroup
 
 #align_import linear_algebra.affine_space.affine_equiv from "leanprover-community/mathlib"@"bd1fc183335ea95a9519a1630bcf901fe9326d83"

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

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

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

@@ -49,6 +49,7 @@ structure AffineEquiv (k P₁ P₂ : Type*) {V₁ V₂ : Type*} [Ring k] [AddCom
   map_vadd' : ∀ (p : P₁) (v : V₁), toEquiv (v +ᵥ p) = linear v +ᵥ toEquiv p
 #align affine_equiv AffineEquiv
 
+@[inherit_doc]
 notation:25 P₁ " ≃ᵃ[" k:25 "] " P₂:0 => AffineEquiv k P₁ P₂
 
 variable {k P₁ P₂ P₃ P₄ V₁ V₂ V₃ V₄ : Type*} [Ring k] [AddCommGroup V₁] [Module k V₁]

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

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

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

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

@@ -93,11 +93,11 @@ instance equivLike : EquivLike (P₁ ≃ᵃ[k] P₂) P₁ P₂ where
   inv f := f.invFun
   left_inv f := f.left_inv
   right_inv f := f.right_inv
-  coe_injective' _ _ h _ := toAffineMap_injective (FunLike.coe_injective h)
+  coe_injective' _ _ h _ := toAffineMap_injective (DFunLike.coe_injective h)
 #align affine_equiv.equiv_like AffineEquiv.equivLike
 
 instance : CoeFun (P₁ ≃ᵃ[k] P₂) fun _ => P₁ → P₂ :=
-  FunLike.hasCoeToFun
+  DFunLike.hasCoeToFun
 
 instance : CoeOut (P₁ ≃ᵃ[k] P₂) (P₁ ≃ P₂) :=
   ⟨AffineEquiv.toEquiv⟩
@@ -132,15 +132,15 @@ theorem coe_linear (e : P₁ ≃ᵃ[k] P₂) : (e : P₁ →ᵃ[k] P₂).linear
 
 @[ext]
 theorem ext {e e' : P₁ ≃ᵃ[k] P₂} (h : ∀ x, e x = e' x) : e = e' :=
-  FunLike.ext _ _ h
+  DFunLike.ext _ _ h
 #align affine_equiv.ext AffineEquiv.ext
 
 theorem coeFn_injective : @Injective (P₁ ≃ᵃ[k] P₂) (P₁ → P₂) (⇑) :=
-  FunLike.coe_injective
+  DFunLike.coe_injective
 #align affine_equiv.coe_fn_injective AffineEquiv.coeFn_injective
 
 @[norm_cast]
--- Porting note: removed `simp`: proof is `simp only [FunLike.coe_fn_eq]`
+-- Porting note: removed `simp`: proof is `simp only [DFunLike.coe_fn_eq]`
 theorem coeFn_inj {e e' : P₁ ≃ᵃ[k] P₂} : (e : P₁ → P₂) = e' ↔ e = e' :=
   coeFn_injective.eq_iff
 #align affine_equiv.coe_fn_inj AffineEquiv.coeFn_inj

I used the regex \(\(· (.) ·\) (.)\), replacing with ($2 $1 ·).

@@ -455,7 +455,7 @@ def constVSub (p : P₁) : P₁ ≃ᵃ[k] V₁ where
 #align affine_equiv.const_vsub AffineEquiv.constVSub
 
 @[simp]
-theorem coe_constVSub (p : P₁) : ⇑(constVSub k p) = (· -ᵥ ·) p :=
+theorem coe_constVSub (p : P₁) : ⇑(constVSub k p) = (p -ᵥ ·) :=
   rfl
 #align affine_equiv.coe_const_vsub AffineEquiv.coe_constVSub
 

Most (but not all) of these are now fixed, presumably due to the latest lean release.

There is still one porting note that remains, about a (Submonoid.smul_def) that cannot be un-parenthesized.

@@ -76,8 +76,8 @@ theorem linear_toAffineMap (e : P₁ ≃ᵃ[k] P₂) : e.toAffineMap.linear = e.
 
 theorem toAffineMap_injective : Injective (toAffineMap : (P₁ ≃ᵃ[k] P₂) → P₁ →ᵃ[k] P₂) := by
   rintro ⟨e, el, h⟩ ⟨e', el', h'⟩ H
-  -- porting note: added `()`s and `AffineMap.mk.injEq`
-  simp only [(toAffineMap_mk), (AffineMap.mk.injEq), Equiv.coe_inj,
+  -- porting note: added `AffineMap.mk.injEq`
+  simp only [toAffineMap_mk, AffineMap.mk.injEq, Equiv.coe_inj,
     LinearEquiv.toLinearMap_inj] at H
   congr
   exacts [H.1, H.2]
@@ -167,13 +167,10 @@ def mk' (e : P₁ → P₂) (e' : V₁ ≃ₗ[k] V₂) (p : P₁) (h : ∀ p' :
     P₁ ≃ᵃ[k] P₂ where
   toFun := e
   invFun := fun q' : P₂ => e'.symm (q' -ᵥ e p) +ᵥ p
-  -- Porting note: `simp` needs `()`
-  left_inv p' := by simp [h p', (vadd_vsub), (vsub_vadd)]
-  -- Porting note: `simp` needs `()`
-  right_inv q' := by simp [h (e'.symm (q' -ᵥ e p) +ᵥ p), (vadd_vsub), (vsub_vadd)]
+  left_inv p' := by simp [h p', vadd_vsub, vsub_vadd]
+  right_inv q' := by simp [h (e'.symm (q' -ᵥ e p) +ᵥ p), vadd_vsub, vsub_vadd]
   linear := e'
-  -- Porting note: `simp` needs `()`
-  map_vadd' p' v := by simp [h p', h (v +ᵥ p'), (vadd_vsub_assoc), (vadd_vadd)]
+  map_vadd' p' v := by simp [h p', h (v +ᵥ p'), vadd_vsub_assoc, vadd_vadd]
 #align affine_equiv.mk' AffineEquiv.mk'
 
 @[simp]
@@ -327,8 +324,7 @@ def trans (e : P₁ ≃ᵃ[k] P₂) (e' : P₂ ≃ᵃ[k] P₃) : P₁ ≃ᵃ[k]
   toEquiv := e.toEquiv.trans e'.toEquiv
   linear := e.linear.trans e'.linear
   map_vadd' p v := by
-    -- porting note: added `()`
-    simp only [LinearEquiv.trans_apply, (coe_toEquiv), (· ∘ ·), Equiv.coe_trans, (map_vadd)]
+    simp only [LinearEquiv.trans_apply, coe_toEquiv, (· ∘ ·), Equiv.coe_trans, map_vadd]
 #align affine_equiv.trans AffineEquiv.trans
 
 @[simp]
@@ -455,8 +451,7 @@ def vaddConst (b : P₁) : V₁ ≃ᵃ[k] P₁ where
 def constVSub (p : P₁) : P₁ ≃ᵃ[k] V₁ where
   toEquiv := Equiv.constVSub p
   linear := LinearEquiv.neg k
-  -- porting note: added `coe_constVSub` and `()`s
-  map_vadd' p' v := by simp [(Equiv.coe_constVSub), (vsub_vadd_eq_vsub_sub), neg_add_eq_sub]
+  map_vadd' p' v := by simp [vsub_vadd_eq_vsub_sub, neg_add_eq_sub]
 #align affine_equiv.const_vsub AffineEquiv.constVSub
 
 @[simp]
@@ -649,8 +644,7 @@ theorem vadd_lineMap (v : V₁) (p₁ p₂ : P₁) (c : k) :
 variable {R' : Type*} [CommRing R'] [Module R' V₁]
 
 theorem homothety_neg_one_apply (c p : P₁) : homothety c (-1 : R') p = pointReflection R' c p := by
-  -- porting note: added `()`, `_`, and `neg_vsub_eq_vsub_rev`
-  simp [(homothety_apply), pointReflection_apply _, (neg_vsub_eq_vsub_rev)]
+  simp [homothety_apply, pointReflection_apply]
 #align affine_map.homothety_neg_one_apply AffineMap.homothety_neg_one_apply
 
 end AffineMap

Mathlib.Algebra.Invertible is used by fundamental tactics, and this essentially splits it into the part used by NormNum, and everything else.

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

@@ -5,7 +5,6 @@ Authors: Yury G. Kudryashov
 -/
 import Mathlib.LinearAlgebra.AffineSpace.AffineMap
 import Mathlib.LinearAlgebra.GeneralLinearGroup
-import Mathlib.Algebra.Invertible
 
 #align_import linear_algebra.affine_space.affine_equiv from "leanprover-community/mathlib"@"bd1fc183335ea95a9519a1630bcf901fe9326d83"
 

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

This has nice performance benefits.

@@ -44,7 +44,7 @@ and inverse maps are affine.
 We define it using an `Equiv` for the map and a `LinearEquiv` for the linear part in order
 to allow affine equivalences with good definitional equalities. -/
 --@[nolint has_nonempty_instance]
-structure AffineEquiv (k P₁ P₂ : Type _) {V₁ V₂ : Type _} [Ring k] [AddCommGroup V₁] [Module k V₁]
+structure AffineEquiv (k P₁ P₂ : Type*) {V₁ V₂ : Type*} [Ring k] [AddCommGroup V₁] [Module k V₁]
   [AddTorsor V₁ P₁] [AddCommGroup V₂] [Module k V₂] [AddTorsor V₂ P₂] extends P₁ ≃ P₂ where
   linear : V₁ ≃ₗ[k] V₂
   map_vadd' : ∀ (p : P₁) (v : V₁), toEquiv (v +ᵥ p) = linear v +ᵥ toEquiv p
@@ -52,7 +52,7 @@ structure AffineEquiv (k P₁ P₂ : Type _) {V₁ V₂ : Type _} [Ring k] [AddC
 
 notation:25 P₁ " ≃ᵃ[" k:25 "] " P₂:0 => AffineEquiv k P₁ P₂
 
-variable {k P₁ P₂ P₃ P₄ V₁ V₂ V₃ V₄ : Type _} [Ring k] [AddCommGroup V₁] [Module k V₁]
+variable {k P₁ P₂ P₃ P₄ V₁ V₂ V₃ V₄ : Type*} [Ring k] [AddCommGroup V₁] [Module k V₁]
   [AddTorsor V₁ P₁] [AddCommGroup V₂] [Module k V₂] [AddTorsor V₂ P₂] [AddCommGroup V₃]
   [Module k V₃] [AddTorsor V₃ P₃] [AddCommGroup V₄] [Module k V₄] [AddTorsor V₄ P₄]
 
@@ -517,7 +517,7 @@ theorem constVAdd_zsmul (z : ℤ) (v : V₁) : constVAdd k P₁ (z • v) = cons
 
 section Homothety
 
-variable {R V P : Type _} [CommRing R] [AddCommGroup V] [Module R V] [AffineSpace V P]
+variable {R V P : Type*} [CommRing R] [AddCommGroup V] [Module R V] [AffineSpace V P]
 
 /-- Fixing a point in affine space, homothety about this point gives a group homomorphism from (the
 centre of) the units of the scalars into the group of affine equivalences. -/
@@ -647,7 +647,7 @@ theorem vadd_lineMap (v : V₁) (p₁ p₂ : P₁) (c : k) :
   (constVAdd k P₁ v).apply_lineMap p₁ p₂ c
 #align affine_map.vadd_line_map AffineMap.vadd_lineMap
 
-variable {R' : Type _} [CommRing R'] [Module R' V₁]
+variable {R' : Type*} [CommRing R'] [Module R' V₁]
 
 theorem homothety_neg_one_apply (c p : P₁) : homothety c (-1 : R') p = pointReflection R' c p := by
   -- porting note: added `()`, `_`, and `neg_vsub_eq_vsub_rev`

• depends on: #5966

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

@@ -2,16 +2,13 @@
 Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
-
-! This file was ported from Lean 3 source module linear_algebra.affine_space.affine_equiv
-! leanprover-community/mathlib commit bd1fc183335ea95a9519a1630bcf901fe9326d83
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.LinearAlgebra.AffineSpace.AffineMap
 import Mathlib.LinearAlgebra.GeneralLinearGroup
 import Mathlib.Algebra.Invertible
 
+#align_import linear_algebra.affine_space.affine_equiv from "leanprover-community/mathlib"@"bd1fc183335ea95a9519a1630bcf901fe9326d83"
+
 /-!
 # Affine equivalences
 

@@ -41,9 +41,6 @@ open Function Set
 
 open Affine
 
--- Porting note: this is needed because of lean4#2074
-attribute [-instance] Ring.toNonAssocRing
-
 /-- An affine equivalence is an equivalence between affine spaces such that both forward
 and inverse maps are affine.
 

@@ -220,11 +220,11 @@ def Simps.apply (e : P₁ ≃ᵃ[k] P₂) : P₁ → P₂ :=
 #align affine_equiv.simps.apply AffineEquiv.Simps.apply
 
 /-- See Note [custom simps projection] -/
-def Simps.symmApply (e : P₁ ≃ᵃ[k] P₂) : P₂ → P₁ :=
+def Simps.symm_apply (e : P₁ ≃ᵃ[k] P₂) : P₂ → P₁ :=
   e.symm
-#align affine_equiv.simps.symm_apply AffineEquiv.Simps.symmApply
+#align affine_equiv.simps.symm_apply AffineEquiv.Simps.symm_apply
 
-initialize_simps_projections AffineEquiv (toEquiv_toFun → apply, toEquiv_invFun → symmApply,
+initialize_simps_projections AffineEquiv (toEquiv_toFun → apply, toEquiv_invFun → symm_apply,
   linear → linear, as_prefix linear, -toEquiv)
 
 protected theorem bijective (e : P₁ ≃ᵃ[k] P₂) : Bijective e :=
@@ -451,7 +451,7 @@ variable (k)
 
 /-- The map `v ↦ v +ᵥ b` as an affine equivalence between a module `V` and an affine space `P` with
 tangent space `V`. -/
-@[simps! linear apply]
+@[simps! linear apply symm_apply]
 def vaddConst (b : P₁) : V₁ ≃ᵃ[k] P₁ where
   toEquiv := Equiv.vaddConst b
   linear := LinearEquiv.refl _ _

@@ -106,8 +106,7 @@ instance equivLike : EquivLike (P₁ ≃ᵃ[k] P₂) P₁ P₂ where
 instance : CoeFun (P₁ ≃ᵃ[k] P₂) fun _ => P₁ → P₂ :=
   FunLike.hasCoeToFun
 
-@[nolint dangerousInstance] -- Porting note: this was not a problem in Lean 3
-instance : Coe (P₁ ≃ᵃ[k] P₂) (P₁ ≃ P₂) :=
+instance : CoeOut (P₁ ≃ᵃ[k] P₂) (P₁ ≃ P₂) :=
   ⟨AffineEquiv.toEquiv⟩
 
 @[simp]

This ran into many of the problems that #2899 did, where simp would fail but simp [(foo)] or simp [foo _] would succeed.

Co-authored-by: Moritz Doll <moritz.doll@googlemail.com> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>