algebra.lie.basic ⟷ Mathlib.Algebra.Lie.Basic

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

@@ -5,7 +5,7 @@ Authors: Oliver Nash
 -/
 import Algebra.Module.Equiv
 import Data.Bracket
-import LinearAlgebra.Basic
+import Algebra.Module.Submodule.Ker
 import Tactic.NoncommRing
 
 #align_import algebra.lie.basic from "leanprover-community/mathlib"@"ee05e9ce1322178f0c12004eb93c00d2c8c00ed2"
@@ -245,7 +245,8 @@ theorem lie_zsmul (a : ℤ) : ⁅x, a • m⁆ = a • ⁅x, m⁆ :=
 
 #print lie_lie /-
 @[simp]
-theorem lie_lie : ⁅⁅x, y⁆, m⁆ = ⁅x, ⁅y, m⁆⁆ - ⁅y, ⁅x, m⁆⁆ := by rw [leibniz_lie, add_sub_cancel]
+theorem lie_lie : ⁅⁅x, y⁆, m⁆ = ⁅x, ⁅y, m⁆⁆ - ⁅y, ⁅x, m⁆⁆ := by
+  rw [leibniz_lie, add_sub_cancel_right]
 #align lie_lie lie_lie
 -/
 

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

@@ -661,7 +661,7 @@ theorem to_linearEquiv_mk (f : L₁ →ₗ⁅R⁆ L₂) (g h₁ h₂) :
 #print LieEquiv.coe_linearEquiv_injective /-
 theorem coe_linearEquiv_injective : Injective (coe : (L₁ ≃ₗ⁅R⁆ L₂) → L₁ ≃ₗ[R] L₂) :=
   by
-  intro f₁ f₂ h; cases f₁; cases f₂; dsimp at h ; simp only at h 
+  intro f₁ f₂ h; cases f₁; cases f₂; dsimp at h; simp only at h
   congr; exacts [LieHom.coe_injective h.1, h.2]
 #align lie_equiv.coe_linear_equiv_injective LieEquiv.coe_linearEquiv_injective
 -/
@@ -1229,7 +1229,7 @@ theorem toEquiv_injective : Function.Injective (toEquiv : (M ≃ₗ⁅R,L⁆ N)
   by
   rcases e₁ with ⟨⟨⟩⟩; rcases e₂ with ⟨⟨⟩⟩
   have inj := Equiv.mk.inj h
-  dsimp at inj 
+  dsimp at inj
   apply lie_module_equiv.mk.inj_eq.mpr
   constructor
   · congr

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

@@ -1080,10 +1080,10 @@ theorem neg_apply (f : M →ₗ⁅R,L⁆ N) (m : M) : (-f) m = -f m :=
 #align lie_module_hom.neg_apply LieModuleHom.neg_apply
 -/
 
-#print LieModuleHom.hasNsmul /-
-instance hasNsmul : SMul ℕ (M →ₗ⁅R,L⁆ N)
+#print LieModuleHom.hasNSMul /-
+instance hasNSMul : SMul ℕ (M →ₗ⁅R,L⁆ N)
     where smul n f := { n • (f : M →ₗ[R] N) with map_lie' := fun x m => by simp }
-#align lie_module_hom.has_nsmul LieModuleHom.hasNsmul
+#align lie_module_hom.has_nsmul LieModuleHom.hasNSMul
 -/
 
 #print LieModuleHom.coe_nsmul /-
@@ -1099,10 +1099,10 @@ theorem nsmul_apply (n : ℕ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (n • f) m =
 #align lie_module_hom.nsmul_apply LieModuleHom.nsmul_apply
 -/
 
-#print LieModuleHom.hasZsmul /-
-instance hasZsmul : SMul ℤ (M →ₗ⁅R,L⁆ N)
+#print LieModuleHom.hasZSMul /-
+instance hasZSMul : SMul ℤ (M →ₗ⁅R,L⁆ N)
     where smul z f := { z • (f : M →ₗ[R] N) with map_lie' := fun x m => by simp }
-#align lie_module_hom.has_zsmul LieModuleHom.hasZsmul
+#align lie_module_hom.has_zsmul LieModuleHom.hasZSMul
 -/
 
 #print LieModuleHom.coe_zsmul /-

mathlib commit https://github.com/leanprover-community/mathlib/commit/b1abe23ae96fef89ad30d9f4362c307f72a55010

@@ -255,9 +255,9 @@ theorem lie_jacobi : ⁅x, ⁅y, z⁆⁆ + ⁅y, ⁅z, x⁆⁆ + ⁅z, ⁅x, y
 #align lie_jacobi lie_jacobi
 -/
 
-#print LieRing.intLieAlgebra /-
-instance LieRing.intLieAlgebra : LieAlgebra ℤ L where lie_smul n x y := lie_zsmul x y n
-#align lie_ring.int_lie_algebra LieRing.intLieAlgebra
+#print LieRing.instLieAlgebra /-
+instance LieRing.instLieAlgebra : LieAlgebra ℤ L where lie_smul n x y := lie_zsmul x y n
+#align lie_ring.int_lie_algebra LieRing.instLieAlgebra
 -/
 
 instance : LieRingModule L (M →ₗ[R] N)

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

@@ -3,10 +3,10 @@ Copyright (c) 2019 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
 -/
-import Mathbin.Algebra.Module.Equiv
-import Mathbin.Data.Bracket
-import Mathbin.LinearAlgebra.Basic
-import Mathbin.Tactic.NoncommRing
+import Algebra.Module.Equiv
+import Data.Bracket
+import LinearAlgebra.Basic
+import Tactic.NoncommRing
 
 #align_import algebra.lie.basic from "leanprover-community/mathlib"@"ee05e9ce1322178f0c12004eb93c00d2c8c00ed2"
 

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

@@ -2,17 +2,14 @@
 Copyright (c) 2019 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
-
-! This file was ported from Lean 3 source module algebra.lie.basic
-! leanprover-community/mathlib commit ee05e9ce1322178f0c12004eb93c00d2c8c00ed2
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Module.Equiv
 import Mathbin.Data.Bracket
 import Mathbin.LinearAlgebra.Basic
 import Mathbin.Tactic.NoncommRing
 
+#align_import algebra.lie.basic from "leanprover-community/mathlib"@"ee05e9ce1322178f0c12004eb93c00d2c8c00ed2"
+
 /-!
 # Lie algebras
 

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

@@ -115,15 +115,19 @@ variable [AddCommGroup N] [Module R N] [LieRingModule L N] [LieModule R L N]
 
 variable (t : R) (x y z : L) (m n : M)
 
+#print add_lie /-
 @[simp]
 theorem add_lie : ⁅x + y, m⁆ = ⁅x, m⁆ + ⁅y, m⁆ :=
   LieRingModule.add_lie x y m
 #align add_lie add_lie
+-/
 
+#print lie_add /-
 @[simp]
 theorem lie_add : ⁅x, m + n⁆ = ⁅x, m⁆ + ⁅x, n⁆ :=
   LieRingModule.lie_add x m n
 #align lie_add lie_add
+-/
 
 #print smul_lie /-
 @[simp]
@@ -139,24 +143,32 @@ theorem lie_smul : ⁅x, t • m⁆ = t • ⁅x, m⁆ :=
 #align lie_smul lie_smul
 -/
 
+#print leibniz_lie /-
 theorem leibniz_lie : ⁅x, ⁅y, m⁆⁆ = ⁅⁅x, y⁆, m⁆ + ⁅y, ⁅x, m⁆⁆ :=
   LieRingModule.leibniz_lie x y m
 #align leibniz_lie leibniz_lie
+-/
 
+#print lie_zero /-
 @[simp]
 theorem lie_zero : ⁅x, 0⁆ = (0 : M) :=
   (AddMonoidHom.mk' _ (lie_add x)).map_zero
 #align lie_zero lie_zero
+-/
 
+#print zero_lie /-
 @[simp]
 theorem zero_lie : ⁅(0 : L), m⁆ = 0 :=
   (AddMonoidHom.mk' (fun x : L => ⁅x, m⁆) fun x y => add_lie x y m).map_zero
 #align zero_lie zero_lie
+-/
 
+#print lie_self /-
 @[simp]
 theorem lie_self : ⁅x, x⁆ = 0 :=
   LieRing.lie_self x
 #align lie_self lie_self
+-/
 
 #print lieRingSelfModule /-
 instance lieRingSelfModule : LieRingModule L L :=
@@ -164,12 +176,14 @@ instance lieRingSelfModule : LieRingModule L L :=
 #align lie_ring_self_module lieRingSelfModule
 -/
 
+#print lie_skew /-
 @[simp]
 theorem lie_skew : -⁅y, x⁆ = ⁅x, y⁆ :=
   by
   have h : ⁅x + y, x⁆ + ⁅x + y, y⁆ = 0 := by rw [← lie_add]; apply lie_self
   simpa [neg_eq_iff_add_eq_zero] using h
 #align lie_skew lie_skew
+-/
 
 #print lieAlgebraSelfModule /-
 /-- Every Lie algebra is a module over itself. -/
@@ -180,21 +194,29 @@ instance lieAlgebraSelfModule : LieModule R L L
 #align lie_algebra_self_module lieAlgebraSelfModule
 -/
 
+#print neg_lie /-
 @[simp]
 theorem neg_lie : ⁅-x, m⁆ = -⁅x, m⁆ := by rw [← sub_eq_zero, sub_neg_eq_add, ← add_lie]; simp
 #align neg_lie neg_lie
+-/
 
+#print lie_neg /-
 @[simp]
 theorem lie_neg : ⁅x, -m⁆ = -⁅x, m⁆ := by rw [← sub_eq_zero, sub_neg_eq_add, ← lie_add]; simp
 #align lie_neg lie_neg
+-/
 
+#print sub_lie /-
 @[simp]
 theorem sub_lie : ⁅x - y, m⁆ = ⁅x, m⁆ - ⁅y, m⁆ := by simp [sub_eq_add_neg]
 #align sub_lie sub_lie
+-/
 
+#print lie_sub /-
 @[simp]
 theorem lie_sub : ⁅x, m - n⁆ = ⁅x, m⁆ - ⁅x, n⁆ := by simp [sub_eq_add_neg]
 #align lie_sub lie_sub
+-/
 
 #print nsmul_lie /-
 @[simp]
@@ -224,16 +246,22 @@ theorem lie_zsmul (a : ℤ) : ⁅x, a • m⁆ = a • ⁅x, m⁆ :=
 #align lie_zsmul lie_zsmul
 -/
 
+#print lie_lie /-
 @[simp]
 theorem lie_lie : ⁅⁅x, y⁆, m⁆ = ⁅x, ⁅y, m⁆⁆ - ⁅y, ⁅x, m⁆⁆ := by rw [leibniz_lie, add_sub_cancel]
 #align lie_lie lie_lie
+-/
 
+#print lie_jacobi /-
 theorem lie_jacobi : ⁅x, ⁅y, z⁆⁆ + ⁅y, ⁅z, x⁆⁆ + ⁅z, ⁅x, y⁆⁆ = 0 := by
   rw [← neg_neg ⁅x, y⁆, lie_neg z, lie_skew y x, ← lie_skew, lie_lie]; abel
 #align lie_jacobi lie_jacobi
+-/
 
+#print LieRing.intLieAlgebra /-
 instance LieRing.intLieAlgebra : LieAlgebra ℤ L where lie_smul n x y := lie_zsmul x y n
 #align lie_ring.int_lie_algebra LieRing.intLieAlgebra
+-/
 
 instance : LieRingModule L (M →ₗ[R] N)
     where
@@ -251,10 +279,12 @@ instance : LieRingModule L (M →ₗ[R] N)
     simp only [lie_lie, LinearMap.coe_mk, LinearMap.map_sub, LinearMap.add_apply, lie_sub]
     abel
 
+#print LieHom.lie_apply /-
 @[simp]
 theorem LieHom.lie_apply (f : M →ₗ[R] N) (x : L) (m : M) : ⁅x, f⁆ m = ⁅x, f m⁆ - f ⁅x, m⁆ :=
   rfl
 #align lie_hom.lie_apply LieHom.lie_apply
+-/
 
 instance : LieModule R L (M →ₗ[R] N)
     where
@@ -275,7 +305,6 @@ structure LieHom (R : Type u) (L : Type v) (L' : Type w) [CommRing R] [LieRing L
 
 attribute [nolint doc_blame] LieHom.toLinearMap
 
--- mathport name: «expr →ₗ⁅ ⁆ »
 notation:25 L " →ₗ⁅" R:25 "⁆ " L':0 => LieHom R L L'
 
 namespace LieHom
@@ -305,45 +334,61 @@ def Simps.apply (h : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂ :=
 
 initialize_simps_projections LieHom (to_linear_map_to_fun → apply)
 
+#print LieHom.coe_toLinearMap /-
 @[simp, norm_cast]
 theorem coe_toLinearMap (f : L₁ →ₗ⁅R⁆ L₂) : ((f : L₁ →ₗ[R] L₂) : L₁ → L₂) = f :=
   rfl
 #align lie_hom.coe_to_linear_map LieHom.coe_toLinearMap
+-/
 
+#print LieHom.toFun_eq_coe /-
 @[simp]
 theorem toFun_eq_coe (f : L₁ →ₗ⁅R⁆ L₂) : f.toFun = ⇑f :=
   rfl
 #align lie_hom.to_fun_eq_coe LieHom.toFun_eq_coe
+-/
 
+#print LieHom.map_smul /-
 @[simp]
 theorem map_smul (f : L₁ →ₗ⁅R⁆ L₂) (c : R) (x : L₁) : f (c • x) = c • f x :=
   LinearMap.map_smul (f : L₁ →ₗ[R] L₂) c x
 #align lie_hom.map_smul LieHom.map_smul
+-/
 
+#print LieHom.map_add /-
 @[simp]
 theorem map_add (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x + y) = f x + f y :=
   LinearMap.map_add (f : L₁ →ₗ[R] L₂) x y
 #align lie_hom.map_add LieHom.map_add
+-/
 
+#print LieHom.map_sub /-
 @[simp]
 theorem map_sub (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x - y) = f x - f y :=
   LinearMap.map_sub (f : L₁ →ₗ[R] L₂) x y
 #align lie_hom.map_sub LieHom.map_sub
+-/
 
+#print LieHom.map_neg /-
 @[simp]
 theorem map_neg (f : L₁ →ₗ⁅R⁆ L₂) (x : L₁) : f (-x) = -f x :=
   LinearMap.map_neg (f : L₁ →ₗ[R] L₂) x
 #align lie_hom.map_neg LieHom.map_neg
+-/
 
+#print LieHom.map_lie /-
 @[simp]
 theorem map_lie (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f ⁅x, y⁆ = ⁅f x, f y⁆ :=
   LieHom.map_lie' f
 #align lie_hom.map_lie LieHom.map_lie
+-/
 
+#print LieHom.map_zero /-
 @[simp]
 theorem map_zero (f : L₁ →ₗ⁅R⁆ L₂) : f 0 = 0 :=
   (f : L₁ →ₗ[R] L₂).map_zero
 #align lie_hom.map_zero LieHom.map_zero
+-/
 
 #print LieHom.id /-
 /-- The identity map is a morphism of Lie algebras. -/
@@ -352,69 +397,93 @@ def id : L₁ →ₗ⁅R⁆ L₁ :=
 #align lie_hom.id LieHom.id
 -/
 
+#print LieHom.coe_id /-
 @[simp]
 theorem coe_id : ((id : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
   rfl
 #align lie_hom.coe_id LieHom.coe_id
+-/
 
+#print LieHom.id_apply /-
 theorem id_apply (x : L₁) : (id : L₁ →ₗ⁅R⁆ L₁) x = x :=
   rfl
 #align lie_hom.id_apply LieHom.id_apply
+-/
 
 /-- The constant 0 map is a Lie algebra morphism. -/
 instance : Zero (L₁ →ₗ⁅R⁆ L₂) :=
   ⟨{ (0 : L₁ →ₗ[R] L₂) with map_lie' := by simp }⟩
 
+#print LieHom.coe_zero /-
 @[norm_cast, simp]
 theorem coe_zero : ((0 : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = 0 :=
   rfl
 #align lie_hom.coe_zero LieHom.coe_zero
+-/
 
+#print LieHom.zero_apply /-
 theorem zero_apply (x : L₁) : (0 : L₁ →ₗ⁅R⁆ L₂) x = 0 :=
   rfl
 #align lie_hom.zero_apply LieHom.zero_apply
+-/
 
 /-- The identity map is a Lie algebra morphism. -/
 instance : One (L₁ →ₗ⁅R⁆ L₁) :=
   ⟨id⟩
 
+#print LieHom.coe_one /-
 @[simp]
 theorem coe_one : ((1 : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
   rfl
 #align lie_hom.coe_one LieHom.coe_one
+-/
 
+#print LieHom.one_apply /-
 theorem one_apply (x : L₁) : (1 : L₁ →ₗ⁅R⁆ L₁) x = x :=
   rfl
 #align lie_hom.one_apply LieHom.one_apply
+-/
 
 instance : Inhabited (L₁ →ₗ⁅R⁆ L₂) :=
   ⟨0⟩
 
+#print LieHom.coe_injective /-
 theorem coe_injective : @Function.Injective (L₁ →ₗ⁅R⁆ L₂) (L₁ → L₂) coeFn := by
   rintro ⟨⟨f, _⟩⟩ ⟨⟨g, _⟩⟩ ⟨h⟩ <;> congr
 #align lie_hom.coe_injective LieHom.coe_injective
+-/
 
+#print LieHom.ext /-
 @[ext]
 theorem ext {f g : L₁ →ₗ⁅R⁆ L₂} (h : ∀ x, f x = g x) : f = g :=
   coe_injective <| funext h
 #align lie_hom.ext LieHom.ext
+-/
 
+#print LieHom.ext_iff /-
 theorem ext_iff {f g : L₁ →ₗ⁅R⁆ L₂} : f = g ↔ ∀ x, f x = g x :=
   ⟨by rintro rfl x; rfl, ext⟩
 #align lie_hom.ext_iff LieHom.ext_iff
+-/
 
+#print LieHom.congr_fun /-
 theorem congr_fun {f g : L₁ →ₗ⁅R⁆ L₂} (h : f = g) (x : L₁) : f x = g x :=
   h ▸ rfl
 #align lie_hom.congr_fun LieHom.congr_fun
+-/
 
+#print LieHom.mk_coe /-
 @[simp]
 theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) = f := by ext; rfl
 #align lie_hom.mk_coe LieHom.mk_coe
+-/
 
+#print LieHom.coe_mk /-
 @[simp]
 theorem coe_mk (f : L₁ → L₂) (h₁ h₂ h₃) : ((⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = f :=
   rfl
 #align lie_hom.coe_mk LieHom.coe_mk
+-/
 
 #print LieHom.comp /-
 /-- The composition of morphisms is a morphism. -/
@@ -424,14 +493,18 @@ def comp (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) : L₁ →
 #align lie_hom.comp LieHom.comp
 -/
 
+#print LieHom.comp_apply /-
 theorem comp_apply (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) (x : L₁) : f.comp g x = f (g x) :=
   rfl
 #align lie_hom.comp_apply LieHom.comp_apply
+-/
 
+#print LieHom.coe_comp /-
 @[norm_cast, simp]
 theorem coe_comp (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) : (f.comp g : L₁ → L₃) = f ∘ g :=
   rfl
 #align lie_hom.coe_comp LieHom.coe_comp
+-/
 
 #print LieHom.coe_linearMap_comp /-
 @[norm_cast, simp]
@@ -453,6 +526,7 @@ theorem id_comp (f : L₁ →ₗ⁅R⁆ L₂) : (id : L₂ →ₗ⁅R⁆ L₂).c
 #align lie_hom.id_comp LieHom.id_comp
 -/
 
+#print LieHom.inverse /-
 /-- The inverse of a bijective morphism is a morphism. -/
 def inverse (f : L₁ →ₗ⁅R⁆ L₂) (g : L₂ → L₁) (h₁ : Function.LeftInverse g f)
     (h₂ : Function.RightInverse g f) : L₂ →ₗ⁅R⁆ L₁ :=
@@ -463,6 +537,7 @@ def inverse (f : L₁ →ₗ⁅R⁆ L₂) (g : L₂ → L₁) (h₁ : Function.L
         _ = g (f ⁅g x, g y⁆) := by rw [map_lie]
         _ = ⁅g x, g y⁆ := h₁ _ }
 #align lie_hom.inverse LieHom.inverse
+-/
 
 end LieHom
 
@@ -476,8 +551,6 @@ variable [AddCommGroup M] [LieRingModule L₂ M]
 
 variable (f : L₁ →ₗ⁅R⁆ L₂)
 
-include f
-
 #print LieRingModule.compLieHom /-
 /-- A Lie ring module may be pulled back along a morphism of Lie algebras.
 
@@ -492,11 +565,13 @@ def LieRingModule.compLieHom : LieRingModule L₁ M
 #align lie_ring_module.comp_lie_hom LieRingModule.compLieHom
 -/
 
+#print LieRingModule.compLieHom_apply /-
 theorem LieRingModule.compLieHom_apply (x : L₁) (m : M) :
     haveI := LieRingModule.compLieHom M f
     ⁅x, m⁆ = ⁅f x, m⁆ :=
   rfl
 #align lie_ring_module.comp_lie_hom_apply LieRingModule.compLieHom_apply
+-/
 
 #print LieModule.compLieHom /-
 /-- A Lie module may be pulled back along a morphism of Lie algebras.
@@ -527,7 +602,6 @@ structure LieEquiv (R : Type u) (L : Type v) (L' : Type w) [CommRing R] [LieRing
 
 attribute [nolint doc_blame] LieEquiv.toLieHom
 
--- mathport name: «expr ≃ₗ⁅ ⁆ »
 notation:50 L " ≃ₗ⁅" R "⁆ " L' => LieEquiv R L L'
 
 namespace LieEquiv
@@ -561,16 +635,21 @@ instance hasCoeToLinearEquiv : Coe (L₁ ≃ₗ⁅R⁆ L₂) (L₁ ≃ₗ[R] L
 instance : CoeFun (L₁ ≃ₗ⁅R⁆ L₂) fun _ => L₁ → L₂ :=
   ⟨fun e => e.toLieHom.toFun⟩
 
+#print LieEquiv.coe_to_lieHom /-
 @[simp, norm_cast]
 theorem coe_to_lieHom (e : L₁ ≃ₗ⁅R⁆ L₂) : ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = e :=
   rfl
 #align lie_equiv.coe_to_lie_hom LieEquiv.coe_to_lieHom
+-/
 
+#print LieEquiv.coe_to_linearEquiv /-
 @[simp, norm_cast]
 theorem coe_to_linearEquiv (e : L₁ ≃ₗ⁅R⁆ L₂) : ((e : L₁ ≃ₗ[R] L₂) : L₁ → L₂) = e :=
   rfl
 #align lie_equiv.coe_to_linear_equiv LieEquiv.coe_to_linearEquiv
+-/
 
+#print LieEquiv.to_linearEquiv_mk /-
 @[simp]
 theorem to_linearEquiv_mk (f : L₁ →ₗ⁅R⁆ L₂) (g h₁ h₂) :
     (mk f g h₁ h₂ : L₁ ≃ₗ[R] L₂) =
@@ -580,6 +659,7 @@ theorem to_linearEquiv_mk (f : L₁ →ₗ⁅R⁆ L₂) (g h₁ h₂) :
         right_inv := h₂ } :=
   rfl
 #align lie_equiv.to_linear_equiv_mk LieEquiv.to_linearEquiv_mk
+-/
 
 #print LieEquiv.coe_linearEquiv_injective /-
 theorem coe_linearEquiv_injective : Injective (coe : (L₁ ≃ₗ⁅R⁆ L₂) → L₁ ≃ₗ[R] L₂) :=
@@ -589,22 +669,28 @@ theorem coe_linearEquiv_injective : Injective (coe : (L₁ ≃ₗ⁅R⁆ L₂) 
 #align lie_equiv.coe_linear_equiv_injective LieEquiv.coe_linearEquiv_injective
 -/
 
+#print LieEquiv.coe_injective /-
 theorem coe_injective : @Injective (L₁ ≃ₗ⁅R⁆ L₂) (L₁ → L₂) coeFn :=
   LinearEquiv.coe_injective.comp coe_linearEquiv_injective
 #align lie_equiv.coe_injective LieEquiv.coe_injective
+-/
 
+#print LieEquiv.ext /-
 @[ext]
 theorem ext {f g : L₁ ≃ₗ⁅R⁆ L₂} (h : ∀ x, f x = g x) : f = g :=
   coe_injective <| funext h
 #align lie_equiv.ext LieEquiv.ext
+-/
 
 instance : One (L₁ ≃ₗ⁅R⁆ L₁) :=
   ⟨{ (1 : L₁ ≃ₗ[R] L₁) with map_lie' := fun x y => rfl }⟩
 
+#print LieEquiv.one_apply /-
 @[simp]
 theorem one_apply (x : L₁) : (1 : L₁ ≃ₗ⁅R⁆ L₁) x = x :=
   rfl
 #align lie_equiv.one_apply LieEquiv.one_apply
+-/
 
 instance : Inhabited (L₁ ≃ₗ⁅R⁆ L₁) :=
   ⟨1⟩
@@ -617,10 +703,12 @@ def refl : L₁ ≃ₗ⁅R⁆ L₁ :=
 #align lie_equiv.refl LieEquiv.refl
 -/
 
+#print LieEquiv.refl_apply /-
 @[simp]
 theorem refl_apply (x : L₁) : (refl : L₁ ≃ₗ⁅R⁆ L₁) x = x :=
   rfl
 #align lie_equiv.refl_apply LieEquiv.refl_apply
+-/
 
 #print LieEquiv.symm /-
 /-- Lie algebra equivalences are symmetric. -/
@@ -636,15 +724,19 @@ theorem symm_symm (e : L₁ ≃ₗ⁅R⁆ L₂) : e.symm.symm = e := by ext; rfl
 #align lie_equiv.symm_symm LieEquiv.symm_symm
 -/
 
+#print LieEquiv.apply_symm_apply /-
 @[simp]
 theorem apply_symm_apply (e : L₁ ≃ₗ⁅R⁆ L₂) : ∀ x, e (e.symm x) = x :=
   e.toLinearEquiv.apply_symm_apply
 #align lie_equiv.apply_symm_apply LieEquiv.apply_symm_apply
+-/
 
+#print LieEquiv.symm_apply_apply /-
 @[simp]
 theorem symm_apply_apply (e : L₁ ≃ₗ⁅R⁆ L₂) : ∀ x, e.symm (e x) = x :=
   e.toLinearEquiv.symm_apply_apply
 #align lie_equiv.symm_apply_apply LieEquiv.symm_apply_apply
+-/
 
 #print LieEquiv.refl_symm /-
 @[simp]
@@ -675,10 +767,12 @@ theorem symm_trans_self (e : L₁ ≃ₗ⁅R⁆ L₂) : e.symm.trans e = refl :=
 #align lie_equiv.symm_trans_self LieEquiv.symm_trans_self
 -/
 
+#print LieEquiv.trans_apply /-
 @[simp]
 theorem trans_apply (e₁ : L₁ ≃ₗ⁅R⁆ L₂) (e₂ : L₂ ≃ₗ⁅R⁆ L₃) (x : L₁) : (e₁.trans e₂) x = e₂ (e₁ x) :=
   rfl
 #align lie_equiv.trans_apply LieEquiv.trans_apply
+-/
 
 #print LieEquiv.symm_trans /-
 @[simp]
@@ -688,19 +782,26 @@ theorem symm_trans (e₁ : L₁ ≃ₗ⁅R⁆ L₂) (e₂ : L₂ ≃ₗ⁅R⁆ L
 #align lie_equiv.symm_trans LieEquiv.symm_trans
 -/
 
+#print LieEquiv.bijective /-
 protected theorem bijective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Bijective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
   e.toLinearEquiv.Bijective
 #align lie_equiv.bijective LieEquiv.bijective
+-/
 
+#print LieEquiv.injective /-
 protected theorem injective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Injective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
   e.toLinearEquiv.Injective
 #align lie_equiv.injective LieEquiv.injective
+-/
 
+#print LieEquiv.surjective /-
 protected theorem surjective (e : L₁ ≃ₗ⁅R⁆ L₂) :
     Function.Surjective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
   e.toLinearEquiv.Surjective
 #align lie_equiv.surjective LieEquiv.surjective
+-/
 
+#print LieEquiv.ofBijective /-
 /-- A bijective morphism of Lie algebras yields an equivalence of Lie algebras. -/
 @[simps]
 noncomputable def ofBijective (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Bijective f) : L₁ ≃ₗ⁅R⁆ L₂ :=
@@ -710,6 +811,7 @@ noncomputable def ofBijective (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Biject
     toFun := f
     map_lie' := f.map_lie }
 #align lie_equiv.of_bijective LieEquiv.ofBijective
+-/
 
 end LieEquiv
 
@@ -727,15 +829,16 @@ variable [LieRingModule L M] [LieRingModule L N] [LieRingModule L P]
 
 variable [LieModule R L M] [LieModule R L N] [LieModule R L P]
 
+#print LieModuleHom /-
 /-- A morphism of Lie algebra modules is a linear map which commutes with the action of the Lie
 algebra. -/
 structure LieModuleHom extends M →ₗ[R] N where
   map_lie' : ∀ {x : L} {m : M}, to_fun ⁅x, m⁆ = ⁅x, to_fun m⁆
 #align lie_module_hom LieModuleHom
+-/
 
 attribute [nolint doc_blame] LieModuleHom.toLinearMap
 
--- mathport name: «expr →ₗ⁅ , ⁆ »
 notation:25 M " →ₗ⁅" R "," L:25 "⁆ " N:0 => LieModuleHom R L M N
 
 namespace LieModuleHom
@@ -749,71 +852,97 @@ instance : Coe (M →ₗ⁅R,L⁆ N) (M →ₗ[R] N) :=
 instance : CoeFun (M →ₗ⁅R,L⁆ N) fun _ => M → N :=
   ⟨fun f => f.toLinearMap.toFun⟩
 
+#print LieModuleHom.coe_toLinearMap /-
 @[simp, norm_cast]
 theorem coe_toLinearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
   rfl
 #align lie_module_hom.coe_to_linear_map LieModuleHom.coe_toLinearMap
+-/
 
+#print LieModuleHom.map_smul /-
 @[simp]
 theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c • f x :=
   LinearMap.map_smul (f : M →ₗ[R] N) c x
 #align lie_module_hom.map_smul LieModuleHom.map_smul
+-/
 
+#print LieModuleHom.map_add /-
 @[simp]
 theorem map_add (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x + y) = f x + f y :=
   LinearMap.map_add (f : M →ₗ[R] N) x y
 #align lie_module_hom.map_add LieModuleHom.map_add
+-/
 
+#print LieModuleHom.map_sub /-
 @[simp]
 theorem map_sub (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x - y) = f x - f y :=
   LinearMap.map_sub (f : M →ₗ[R] N) x y
 #align lie_module_hom.map_sub LieModuleHom.map_sub
+-/
 
+#print LieModuleHom.map_neg /-
 @[simp]
 theorem map_neg (f : M →ₗ⁅R,L⁆ N) (x : M) : f (-x) = -f x :=
   LinearMap.map_neg (f : M →ₗ[R] N) x
 #align lie_module_hom.map_neg LieModuleHom.map_neg
+-/
 
+#print LieModuleHom.map_lie /-
 @[simp]
 theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x, f m⁆ :=
   LieModuleHom.map_lie' f
 #align lie_module_hom.map_lie LieModuleHom.map_lie
+-/
 
+#print LieModuleHom.map_lie₂ /-
 theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N) :
     ⁅x, f m n⁆ = f ⁅x, m⁆ n + f m ⁅x, n⁆ := by simp only [sub_add_cancel, map_lie, LieHom.lie_apply]
 #align lie_module_hom.map_lie₂ LieModuleHom.map_lie₂
+-/
 
+#print LieModuleHom.map_zero /-
 @[simp]
 theorem map_zero (f : M →ₗ⁅R,L⁆ N) : f 0 = 0 :=
   LinearMap.map_zero (f : M →ₗ[R] N)
 #align lie_module_hom.map_zero LieModuleHom.map_zero
+-/
 
+#print LieModuleHom.id /-
 /-- The identity map is a morphism of Lie modules. -/
 def id : M →ₗ⁅R,L⁆ M :=
   { (LinearMap.id : M →ₗ[R] M) with map_lie' := fun x m => rfl }
 #align lie_module_hom.id LieModuleHom.id
+-/
 
+#print LieModuleHom.coe_id /-
 @[simp]
 theorem coe_id : ((id : M →ₗ⁅R,L⁆ M) : M → M) = id :=
   rfl
 #align lie_module_hom.coe_id LieModuleHom.coe_id
+-/
 
+#print LieModuleHom.id_apply /-
 theorem id_apply (x : M) : (id : M →ₗ⁅R,L⁆ M) x = x :=
   rfl
 #align lie_module_hom.id_apply LieModuleHom.id_apply
+-/
 
 /-- The constant 0 map is a Lie module morphism. -/
 instance : Zero (M →ₗ⁅R,L⁆ N) :=
   ⟨{ (0 : M →ₗ[R] N) with map_lie' := by simp }⟩
 
+#print LieModuleHom.coe_zero /-
 @[norm_cast, simp]
 theorem coe_zero : ((0 : M →ₗ⁅R,L⁆ N) : M → N) = 0 :=
   rfl
 #align lie_module_hom.coe_zero LieModuleHom.coe_zero
+-/
 
+#print LieModuleHom.zero_apply /-
 theorem zero_apply (m : M) : (0 : M →ₗ⁅R,L⁆ N) m = 0 :=
   rfl
 #align lie_module_hom.zero_apply LieModuleHom.zero_apply
+-/
 
 /-- The identity map is a Lie module morphism. -/
 instance : One (M →ₗ⁅R,L⁆ M) :=
@@ -822,56 +951,79 @@ instance : One (M →ₗ⁅R,L⁆ M) :=
 instance : Inhabited (M →ₗ⁅R,L⁆ N) :=
   ⟨0⟩
 
+#print LieModuleHom.coe_injective /-
 theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeFn := by
   rintro ⟨⟨f, _⟩⟩ ⟨⟨g, _⟩⟩ ⟨h⟩; congr
 #align lie_module_hom.coe_injective LieModuleHom.coe_injective
+-/
 
+#print LieModuleHom.ext /-
 @[ext]
 theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
   coe_injective <| funext h
 #align lie_module_hom.ext LieModuleHom.ext
+-/
 
+#print LieModuleHom.ext_iff /-
 theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
   ⟨by rintro rfl m; rfl, ext⟩
 #align lie_module_hom.ext_iff LieModuleHom.ext_iff
+-/
 
+#print LieModuleHom.congr_fun /-
 theorem congr_fun {f g : M →ₗ⁅R,L⁆ N} (h : f = g) (x : M) : f x = g x :=
   h ▸ rfl
 #align lie_module_hom.congr_fun LieModuleHom.congr_fun
+-/
 
+#print LieModuleHom.mk_coe /-
 @[simp]
 theorem mk_coe (f : M →ₗ⁅R,L⁆ N) (h) : (⟨f, h⟩ : M →ₗ⁅R,L⁆ N) = f := by ext; rfl
 #align lie_module_hom.mk_coe LieModuleHom.mk_coe
+-/
 
+#print LieModuleHom.coe_mk /-
 @[simp]
 theorem coe_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M → N) = f := by ext; rfl
 #align lie_module_hom.coe_mk LieModuleHom.coe_mk
+-/
 
+#print LieModuleHom.coe_linear_mk /-
 @[norm_cast, simp]
 theorem coe_linear_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M →ₗ[R] N) = f := by ext; rfl
 #align lie_module_hom.coe_linear_mk LieModuleHom.coe_linear_mk
+-/
 
+#print LieModuleHom.comp /-
 /-- The composition of Lie module morphisms is a morphism. -/
 def comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : M →ₗ⁅R,L⁆ P :=
   { LinearMap.comp f.toLinearMap g.toLinearMap with
     map_lie' := fun x m => by change f (g ⁅x, m⁆) = ⁅x, f (g m)⁆; rw [map_lie, map_lie] }
 #align lie_module_hom.comp LieModuleHom.comp
+-/
 
+#print LieModuleHom.comp_apply /-
 theorem comp_apply (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) (m : M) : f.comp g m = f (g m) :=
   rfl
 #align lie_module_hom.comp_apply LieModuleHom.comp_apply
+-/
 
+#print LieModuleHom.coe_comp /-
 @[norm_cast, simp]
 theorem coe_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : (f.comp g : M → P) = f ∘ g :=
   rfl
 #align lie_module_hom.coe_comp LieModuleHom.coe_comp
+-/
 
+#print LieModuleHom.coe_linearMap_comp /-
 @[norm_cast, simp]
 theorem coe_linearMap_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) :
     (f.comp g : M →ₗ[R] P) = (f : N →ₗ[R] P).comp (g : M →ₗ[R] N) :=
   rfl
 #align lie_module_hom.coe_linear_map_comp LieModuleHom.coe_linearMap_comp
+-/
 
+#print LieModuleHom.inverse /-
 /-- The inverse of a bijective morphism of Lie modules is a morphism of Lie modules. -/
 def inverse (f : M →ₗ⁅R,L⁆ N) (g : N → M) (h₁ : Function.LeftInverse g f)
     (h₂ : Function.RightInverse g f) : N →ₗ⁅R,L⁆ M :=
@@ -882,6 +1034,7 @@ def inverse (f : M →ₗ⁅R,L⁆ N) (g : N → M) (h₁ : Function.LeftInverse
         _ = g (f ⁅x, g n⁆) := by rw [map_lie]
         _ = ⁅x, g n⁆ := h₁ _ }
 #align lie_module_hom.inverse LieModuleHom.inverse
+-/
 
 instance : Add (M →ₗ⁅R,L⁆ N)
     where add f g := { (f : M →ₗ[R] N) + (g : M →ₗ[R] N) with map_lie' := by simp }
@@ -891,58 +1044,82 @@ instance : Sub (M →ₗ⁅R,L⁆ N)
 
 instance : Neg (M →ₗ⁅R,L⁆ N) where neg f := { -(f : M →ₗ[R] N) with map_lie' := by simp }
 
+#print LieModuleHom.coe_add /-
 @[norm_cast, simp]
 theorem coe_add (f g : M →ₗ⁅R,L⁆ N) : ⇑(f + g) = f + g :=
   rfl
 #align lie_module_hom.coe_add LieModuleHom.coe_add
+-/
 
+#print LieModuleHom.add_apply /-
 theorem add_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f + g) m = f m + g m :=
   rfl
 #align lie_module_hom.add_apply LieModuleHom.add_apply
+-/
 
+#print LieModuleHom.coe_sub /-
 @[norm_cast, simp]
 theorem coe_sub (f g : M →ₗ⁅R,L⁆ N) : ⇑(f - g) = f - g :=
   rfl
 #align lie_module_hom.coe_sub LieModuleHom.coe_sub
+-/
 
+#print LieModuleHom.sub_apply /-
 theorem sub_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f - g) m = f m - g m :=
   rfl
 #align lie_module_hom.sub_apply LieModuleHom.sub_apply
+-/
 
+#print LieModuleHom.coe_neg /-
 @[norm_cast, simp]
 theorem coe_neg (f : M →ₗ⁅R,L⁆ N) : ⇑(-f) = -f :=
   rfl
 #align lie_module_hom.coe_neg LieModuleHom.coe_neg
+-/
 
+#print LieModuleHom.neg_apply /-
 theorem neg_apply (f : M →ₗ⁅R,L⁆ N) (m : M) : (-f) m = -f m :=
   rfl
 #align lie_module_hom.neg_apply LieModuleHom.neg_apply
+-/
 
+#print LieModuleHom.hasNsmul /-
 instance hasNsmul : SMul ℕ (M →ₗ⁅R,L⁆ N)
     where smul n f := { n • (f : M →ₗ[R] N) with map_lie' := fun x m => by simp }
 #align lie_module_hom.has_nsmul LieModuleHom.hasNsmul
+-/
 
+#print LieModuleHom.coe_nsmul /-
 @[norm_cast, simp]
 theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • f :=
   rfl
 #align lie_module_hom.coe_nsmul LieModuleHom.coe_nsmul
+-/
 
+#print LieModuleHom.nsmul_apply /-
 theorem nsmul_apply (n : ℕ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (n • f) m = n • f m :=
   rfl
 #align lie_module_hom.nsmul_apply LieModuleHom.nsmul_apply
+-/
 
+#print LieModuleHom.hasZsmul /-
 instance hasZsmul : SMul ℤ (M →ₗ⁅R,L⁆ N)
     where smul z f := { z • (f : M →ₗ[R] N) with map_lie' := fun x m => by simp }
 #align lie_module_hom.has_zsmul LieModuleHom.hasZsmul
+-/
 
+#print LieModuleHom.coe_zsmul /-
 @[norm_cast, simp]
 theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • f :=
   rfl
 #align lie_module_hom.coe_zsmul LieModuleHom.coe_zsmul
+-/
 
+#print LieModuleHom.zsmul_apply /-
 theorem zsmul_apply (z : ℤ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (z • f) m = z • f m :=
   rfl
 #align lie_module_hom.zsmul_apply LieModuleHom.zsmul_apply
+-/
 
 instance : AddCommGroup (M →ₗ⁅R,L⁆ N) :=
   coe_injective.AddCommGroup _ coe_zero coe_add coe_neg coe_sub (fun _ _ => coe_nsmul _ _)
@@ -950,20 +1127,25 @@ instance : AddCommGroup (M →ₗ⁅R,L⁆ N) :=
 
 instance : SMul R (M →ₗ⁅R,L⁆ N) where smul t f := { t • (f : M →ₗ[R] N) with map_lie' := by simp }
 
+#print LieModuleHom.coe_smul /-
 @[norm_cast, simp]
 theorem coe_smul (t : R) (f : M →ₗ⁅R,L⁆ N) : ⇑(t • f) = t • f :=
   rfl
 #align lie_module_hom.coe_smul LieModuleHom.coe_smul
+-/
 
+#print LieModuleHom.smul_apply /-
 theorem smul_apply (t : R) (f : M →ₗ⁅R,L⁆ N) (m : M) : (t • f) m = t • f m :=
   rfl
 #align lie_module_hom.smul_apply LieModuleHom.smul_apply
+-/
 
 instance : Module R (M →ₗ⁅R,L⁆ N) :=
   Function.Injective.module R ⟨fun f => f.toLinearMap.toFun, rfl, coe_add⟩ coe_injective coe_smul
 
 end LieModuleHom
 
+#print LieModuleEquiv /-
 /-- An equivalence of Lie algebra modules is a linear equivalence which is also a morphism of
 Lie algebra modules. -/
 structure LieModuleEquiv extends M →ₗ⁅R,L⁆ N where
@@ -971,62 +1153,81 @@ structure LieModuleEquiv extends M →ₗ⁅R,L⁆ N where
   left_inv : Function.LeftInverse inv_fun to_fun
   right_inv : Function.RightInverse inv_fun to_fun
 #align lie_module_equiv LieModuleEquiv
+-/
 
 attribute [nolint doc_blame] LieModuleEquiv.toLieModuleHom
 
--- mathport name: «expr ≃ₗ⁅ , ⁆ »
 notation:25 M " ≃ₗ⁅" R "," L:25 "⁆ " N:0 => LieModuleEquiv R L M N
 
 namespace LieModuleEquiv
 
 variable {R L M N P}
 
+#print LieModuleEquiv.toLinearEquiv /-
 /-- View an equivalence of Lie modules as a linear equivalence. -/
 def toLinearEquiv (e : M ≃ₗ⁅R,L⁆ N) : M ≃ₗ[R] N :=
   { e with }
 #align lie_module_equiv.to_linear_equiv LieModuleEquiv.toLinearEquiv
+-/
 
+#print LieModuleEquiv.toEquiv /-
 /-- View an equivalence of Lie modules as a type level equivalence. -/
 def toEquiv (e : M ≃ₗ⁅R,L⁆ N) : M ≃ N :=
   { e with }
 #align lie_module_equiv.to_equiv LieModuleEquiv.toEquiv
+-/
 
+#print LieModuleEquiv.hasCoeToEquiv /-
 instance hasCoeToEquiv : Coe (M ≃ₗ⁅R,L⁆ N) (M ≃ N) :=
   ⟨toEquiv⟩
 #align lie_module_equiv.has_coe_to_equiv LieModuleEquiv.hasCoeToEquiv
+-/
 
+#print LieModuleEquiv.hasCoeToLieModuleHom /-
 instance hasCoeToLieModuleHom : Coe (M ≃ₗ⁅R,L⁆ N) (M →ₗ⁅R,L⁆ N) :=
   ⟨toLieModuleHom⟩
 #align lie_module_equiv.has_coe_to_lie_module_hom LieModuleEquiv.hasCoeToLieModuleHom
+-/
 
+#print LieModuleEquiv.hasCoeToLinearEquiv /-
 instance hasCoeToLinearEquiv : Coe (M ≃ₗ⁅R,L⁆ N) (M ≃ₗ[R] N) :=
   ⟨toLinearEquiv⟩
 #align lie_module_equiv.has_coe_to_linear_equiv LieModuleEquiv.hasCoeToLinearEquiv
+-/
 
 /-- see Note [function coercion] -/
 instance : CoeFun (M ≃ₗ⁅R,L⁆ N) fun _ => M → N :=
   ⟨fun e => e.toLieModuleHom.toFun⟩
 
+#print LieModuleEquiv.injective /-
 theorem injective (e : M ≃ₗ⁅R,L⁆ N) : Function.Injective e :=
   e.toEquiv.Injective
 #align lie_module_equiv.injective LieModuleEquiv.injective
+-/
 
+#print LieModuleEquiv.coe_mk /-
 @[simp]
 theorem coe_mk (f : M →ₗ⁅R,L⁆ N) (inv_fun h₁ h₂) :
     ((⟨f, inv_fun, h₁, h₂⟩ : M ≃ₗ⁅R,L⁆ N) : M → N) = f :=
   rfl
 #align lie_module_equiv.coe_mk LieModuleEquiv.coe_mk
+-/
 
+#print LieModuleEquiv.coe_to_lieModuleHom /-
 @[simp, norm_cast]
 theorem coe_to_lieModuleHom (e : M ≃ₗ⁅R,L⁆ N) : ((e : M →ₗ⁅R,L⁆ N) : M → N) = e :=
   rfl
 #align lie_module_equiv.coe_to_lie_module_hom LieModuleEquiv.coe_to_lieModuleHom
+-/
 
+#print LieModuleEquiv.coe_to_linearEquiv /-
 @[simp, norm_cast]
 theorem coe_to_linearEquiv (e : M ≃ₗ⁅R,L⁆ N) : ((e : M ≃ₗ[R] N) : M → N) = e :=
   rfl
 #align lie_module_equiv.coe_to_linear_equiv LieModuleEquiv.coe_to_linearEquiv
+-/
 
+#print LieModuleEquiv.toEquiv_injective /-
 theorem toEquiv_injective : Function.Injective (toEquiv : (M ≃ₗ⁅R,L⁆ N) → M ≃ N) := fun e₁ e₂ h =>
   by
   rcases e₁ with ⟨⟨⟩⟩; rcases e₂ with ⟨⟨⟩⟩
@@ -1039,83 +1240,110 @@ theorem toEquiv_injective : Function.Injective (toEquiv : (M ≃ₗ⁅R,L⁆ N)
     rw [inj.1]
   · exact inj.2
 #align lie_module_equiv.to_equiv_injective LieModuleEquiv.toEquiv_injective
+-/
 
+#print LieModuleEquiv.ext /-
 @[ext]
 theorem ext (e₁ e₂ : M ≃ₗ⁅R,L⁆ N) (h : ∀ m, e₁ m = e₂ m) : e₁ = e₂ :=
   toEquiv_injective (Equiv.ext h)
 #align lie_module_equiv.ext LieModuleEquiv.ext
+-/
 
 instance : One (M ≃ₗ⁅R,L⁆ M) :=
   ⟨{ (1 : M ≃ₗ[R] M) with map_lie' := fun x m => rfl }⟩
 
+#print LieModuleEquiv.one_apply /-
 @[simp]
 theorem one_apply (m : M) : (1 : M ≃ₗ⁅R,L⁆ M) m = m :=
   rfl
 #align lie_module_equiv.one_apply LieModuleEquiv.one_apply
+-/
 
 instance : Inhabited (M ≃ₗ⁅R,L⁆ M) :=
   ⟨1⟩
 
+#print LieModuleEquiv.refl /-
 /-- Lie module equivalences are reflexive. -/
 @[refl]
 def refl : M ≃ₗ⁅R,L⁆ M :=
   1
 #align lie_module_equiv.refl LieModuleEquiv.refl
+-/
 
+#print LieModuleEquiv.refl_apply /-
 @[simp]
 theorem refl_apply (m : M) : (refl : M ≃ₗ⁅R,L⁆ M) m = m :=
   rfl
 #align lie_module_equiv.refl_apply LieModuleEquiv.refl_apply
+-/
 
+#print LieModuleEquiv.symm /-
 /-- Lie module equivalences are syemmtric. -/
 @[symm]
 def symm (e : M ≃ₗ⁅R,L⁆ N) : N ≃ₗ⁅R,L⁆ M :=
   { LieModuleHom.inverse e.toLieModuleHom e.invFun e.left_inv e.right_inv,
     (e : M ≃ₗ[R] N).symm with }
 #align lie_module_equiv.symm LieModuleEquiv.symm
+-/
 
+#print LieModuleEquiv.apply_symm_apply /-
 @[simp]
 theorem apply_symm_apply (e : M ≃ₗ⁅R,L⁆ N) : ∀ x, e (e.symm x) = x :=
   e.toLinearEquiv.apply_symm_apply
 #align lie_module_equiv.apply_symm_apply LieModuleEquiv.apply_symm_apply
+-/
 
+#print LieModuleEquiv.symm_apply_apply /-
 @[simp]
 theorem symm_apply_apply (e : M ≃ₗ⁅R,L⁆ N) : ∀ x, e.symm (e x) = x :=
   e.toLinearEquiv.symm_apply_apply
 #align lie_module_equiv.symm_apply_apply LieModuleEquiv.symm_apply_apply
+-/
 
+#print LieModuleEquiv.symm_symm /-
 @[simp]
 theorem symm_symm (e : M ≃ₗ⁅R,L⁆ N) : e.symm.symm = e := by ext;
   apply_fun e.symm using e.symm.injective; simp
 #align lie_module_equiv.symm_symm LieModuleEquiv.symm_symm
+-/
 
+#print LieModuleEquiv.trans /-
 /-- Lie module equivalences are transitive. -/
 @[trans]
 def trans (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) : M ≃ₗ⁅R,L⁆ P :=
   { LieModuleHom.comp e₂.toLieModuleHom e₁.toLieModuleHom,
     LinearEquiv.trans e₁.toLinearEquiv e₂.toLinearEquiv with }
 #align lie_module_equiv.trans LieModuleEquiv.trans
+-/
 
+#print LieModuleEquiv.trans_apply /-
 @[simp]
 theorem trans_apply (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) (m : M) : (e₁.trans e₂) m = e₂ (e₁ m) :=
   rfl
 #align lie_module_equiv.trans_apply LieModuleEquiv.trans_apply
+-/
 
+#print LieModuleEquiv.symm_trans /-
 @[simp]
 theorem symm_trans (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) :
     (e₁.trans e₂).symm = e₂.symm.trans e₁.symm :=
   rfl
 #align lie_module_equiv.symm_trans LieModuleEquiv.symm_trans
+-/
 
+#print LieModuleEquiv.self_trans_symm /-
 @[simp]
 theorem self_trans_symm (e : M ≃ₗ⁅R,L⁆ N) : e.trans e.symm = refl :=
   ext _ _ e.symm_apply_apply
 #align lie_module_equiv.self_trans_symm LieModuleEquiv.self_trans_symm
+-/
 
+#print LieModuleEquiv.symm_trans_self /-
 @[simp]
 theorem symm_trans_self (e : M ≃ₗ⁅R,L⁆ N) : e.symm.trans e = refl :=
   ext _ _ e.apply_symm_apply
 #align lie_module_equiv.symm_trans_self LieModuleEquiv.symm_trans_self
+-/
 
 end LieModuleEquiv
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/7e5137f579de09a059a5ce98f364a04e221aabf0

@@ -461,8 +461,7 @@ def inverse (f : L₁ →ₗ⁅R⁆ L₂) (g : L₂ → L₁) (h₁ : Function.L
       calc
         g ⁅x, y⁆ = g ⁅f (g x), f (g y)⁆ := by conv_lhs => rw [← h₂ x, ← h₂ y]
         _ = g (f ⁅g x, g y⁆) := by rw [map_lie]
-        _ = ⁅g x, g y⁆ := h₁ _
-         }
+        _ = ⁅g x, g y⁆ := h₁ _ }
 #align lie_hom.inverse LieHom.inverse
 
 end LieHom
@@ -881,8 +880,7 @@ def inverse (f : M →ₗ⁅R,L⁆ N) (g : N → M) (h₁ : Function.LeftInverse
       calc
         g ⁅x, n⁆ = g ⁅x, f (g n)⁆ := by rw [h₂]
         _ = g (f ⁅x, g n⁆) := by rw [map_lie]
-        _ = ⁅x, g n⁆ := h₁ _
-         }
+        _ = ⁅x, g n⁆ := h₁ _ }
 #align lie_module_hom.inverse LieModuleHom.inverse
 
 instance : Add (M →ₗ⁅R,L⁆ N)

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

@@ -751,9 +751,9 @@ instance : CoeFun (M →ₗ⁅R,L⁆ N) fun _ => M → N :=
   ⟨fun f => f.toLinearMap.toFun⟩
 
 @[simp, norm_cast]
-theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
+theorem coe_toLinearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
   rfl
-#align lie_module_hom.coe_to_linear_map LieModuleHom.coe_to_linearMap
+#align lie_module_hom.coe_to_linear_map LieModuleHom.coe_toLinearMap
 
 @[simp]
 theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c • f x :=

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

@@ -97,7 +97,7 @@ class LieRingModule (L : Type v) (M : Type w) [LieRing L] [AddCommGroup M] exten
 algebra on this module, such that the Lie bracket acts as the commutator of endomorphisms. -/
 @[protect_proj]
 class LieModule (R : Type u) (L : Type v) (M : Type w) [CommRing R] [LieRing L] [LieAlgebra R L]
-  [AddCommGroup M] [Module R M] [LieRingModule L M] where
+    [AddCommGroup M] [Module R M] [LieRingModule L M] where
   smul_lie : ∀ (t : R) (x : L) (m : M), ⁅t • x, m⁆ = t • ⁅x, m⁆
   lie_smul : ∀ (t : R) (x : L) (m : M), ⁅x, t • m⁆ = t • ⁅x, m⁆
 #align lie_module LieModule
@@ -268,7 +268,7 @@ end BasicProperties
 #print LieHom /-
 /-- A morphism of Lie algebras is a linear map respecting the bracket operations. -/
 structure LieHom (R : Type u) (L : Type v) (L' : Type w) [CommRing R] [LieRing L] [LieAlgebra R L]
-  [LieRing L'] [LieAlgebra R L'] extends L →ₗ[R] L' where
+    [LieRing L'] [LieAlgebra R L'] extends L →ₗ[R] L' where
   map_lie' : ∀ {x y : L}, to_fun ⁅x, y⁆ = ⁅to_fun x, to_fun y⁆
 #align lie_hom LieHom
 -/
@@ -519,7 +519,7 @@ end ModulePullBack
 instead define an equivalence to be a morphism which is also a (plain) equivalence. However it is
 more convenient to define via linear equivalence to get `.to_linear_equiv` for free. -/
 structure LieEquiv (R : Type u) (L : Type v) (L' : Type w) [CommRing R] [LieRing L] [LieAlgebra R L]
-  [LieRing L'] [LieAlgebra R L'] extends L →ₗ⁅R⁆ L' where
+    [LieRing L'] [LieAlgebra R L'] extends L →ₗ⁅R⁆ L' where
   invFun : L' → L
   left_inv : Function.LeftInverse inv_fun to_lie_hom.toFun
   right_inv : Function.RightInverse inv_fun to_lie_hom.toFun
@@ -585,8 +585,8 @@ theorem to_linearEquiv_mk (f : L₁ →ₗ⁅R⁆ L₂) (g h₁ h₂) :
 #print LieEquiv.coe_linearEquiv_injective /-
 theorem coe_linearEquiv_injective : Injective (coe : (L₁ ≃ₗ⁅R⁆ L₂) → L₁ ≃ₗ[R] L₂) :=
   by
-  intro f₁ f₂ h; cases f₁; cases f₂; dsimp at h; simp only at h
-  congr ; exacts[LieHom.coe_injective h.1, h.2]
+  intro f₁ f₂ h; cases f₁; cases f₂; dsimp at h ; simp only at h 
+  congr; exacts [LieHom.coe_injective h.1, h.2]
 #align lie_equiv.coe_linear_equiv_injective LieEquiv.coe_linearEquiv_injective
 -/
 
@@ -1033,7 +1033,7 @@ theorem toEquiv_injective : Function.Injective (toEquiv : (M ≃ₗ⁅R,L⁆ N)
   by
   rcases e₁ with ⟨⟨⟩⟩; rcases e₂ with ⟨⟨⟩⟩
   have inj := Equiv.mk.inj h
-  dsimp at inj
+  dsimp at inj 
   apply lie_module_equiv.mk.inj_eq.mpr
   constructor
   · congr

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

@@ -115,23 +115,11 @@ variable [AddCommGroup N] [Module R N] [LieRingModule L N] [LieModule R L N]
 
 variable (t : R) (x y z : L) (m n : M)
 
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 @[simp]
 theorem add_lie : ⁅x + y, m⁆ = ⁅x, m⁆ + ⁅y, m⁆ :=
   LieRingModule.add_lie x y m
 #align add_lie add_lie
 
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 @[simp]
 theorem lie_add : ⁅x, m + n⁆ = ⁅x, m⁆ + ⁅x, n⁆ :=
   LieRingModule.lie_add x m n
@@ -151,44 +139,20 @@ theorem lie_smul : ⁅x, t • m⁆ = t • ⁅x, m⁆ :=
 #align lie_smul lie_smul
 -/
 
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 theorem leibniz_lie : ⁅x, ⁅y, m⁆⁆ = ⁅⁅x, y⁆, m⁆ + ⁅y, ⁅x, m⁆⁆ :=
   LieRingModule.leibniz_lie x y m
 #align leibniz_lie leibniz_lie
 
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 @[simp]
 theorem lie_zero : ⁅x, 0⁆ = (0 : M) :=
   (AddMonoidHom.mk' _ (lie_add x)).map_zero
 #align lie_zero lie_zero
 
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 @[simp]
 theorem zero_lie : ⁅(0 : L), m⁆ = 0 :=
   (AddMonoidHom.mk' (fun x : L => ⁅x, m⁆) fun x y => add_lie x y m).map_zero
 #align zero_lie zero_lie
 
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 @[simp]
 theorem lie_self : ⁅x, x⁆ = 0 :=
   LieRing.lie_self x
@@ -200,12 +164,6 @@ instance lieRingSelfModule : LieRingModule L L :=
 #align lie_ring_self_module lieRingSelfModule
 -/
 
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 @[simp]
 theorem lie_skew : -⁅y, x⁆ = ⁅x, y⁆ :=
   by
@@ -222,42 +180,18 @@ instance lieAlgebraSelfModule : LieModule R L L
 #align lie_algebra_self_module lieAlgebraSelfModule
 -/
 
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 @[simp]
 theorem neg_lie : ⁅-x, m⁆ = -⁅x, m⁆ := by rw [← sub_eq_zero, sub_neg_eq_add, ← add_lie]; simp
 #align neg_lie neg_lie
 
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 @[simp]
 theorem lie_neg : ⁅x, -m⁆ = -⁅x, m⁆ := by rw [← sub_eq_zero, sub_neg_eq_add, ← lie_add]; simp
 #align lie_neg lie_neg
 
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 @[simp]
 theorem sub_lie : ⁅x - y, m⁆ = ⁅x, m⁆ - ⁅y, m⁆ := by simp [sub_eq_add_neg]
 #align sub_lie sub_lie
 
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 @[simp]
 theorem lie_sub : ⁅x, m - n⁆ = ⁅x, m⁆ - ⁅x, n⁆ := by simp [sub_eq_add_neg]
 #align lie_sub lie_sub
@@ -290,32 +224,14 @@ theorem lie_zsmul (a : ℤ) : ⁅x, a • m⁆ = a • ⁅x, m⁆ :=
 #align lie_zsmul lie_zsmul
 -/
 
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 @[simp]
 theorem lie_lie : ⁅⁅x, y⁆, m⁆ = ⁅x, ⁅y, m⁆⁆ - ⁅y, ⁅x, m⁆⁆ := by rw [leibniz_lie, add_sub_cancel]
 #align lie_lie lie_lie
 
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 theorem lie_jacobi : ⁅x, ⁅y, z⁆⁆ + ⁅y, ⁅z, x⁆⁆ + ⁅z, ⁅x, y⁆⁆ = 0 := by
   rw [← neg_neg ⁅x, y⁆, lie_neg z, lie_skew y x, ← lie_skew, lie_lie]; abel
 #align lie_jacobi lie_jacobi
 
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 instance LieRing.intLieAlgebra : LieAlgebra ℤ L where lie_smul n x y := lie_zsmul x y n
 #align lie_ring.int_lie_algebra LieRing.intLieAlgebra
 
@@ -335,9 +251,6 @@ instance : LieRingModule L (M →ₗ[R] N)
     simp only [lie_lie, LinearMap.coe_mk, LinearMap.map_sub, LinearMap.add_apply, lie_sub]
     abel
 
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 @[simp]
 theorem LieHom.lie_apply (f : M →ₗ[R] N) (x : L) (m : M) : ⁅x, f⁆ m = ⁅x, f m⁆ - f ⁅x, m⁆ :=
   rfl
@@ -392,83 +305,41 @@ def Simps.apply (h : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂ :=
 
 initialize_simps_projections LieHom (to_linear_map_to_fun → apply)
 
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 @[simp, norm_cast]
 theorem coe_toLinearMap (f : L₁ →ₗ⁅R⁆ L₂) : ((f : L₁ →ₗ[R] L₂) : L₁ → L₂) = f :=
   rfl
 #align lie_hom.coe_to_linear_map LieHom.coe_toLinearMap
 
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 @[simp]
 theorem toFun_eq_coe (f : L₁ →ₗ⁅R⁆ L₂) : f.toFun = ⇑f :=
   rfl
 #align lie_hom.to_fun_eq_coe LieHom.toFun_eq_coe
 
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 @[simp]
 theorem map_smul (f : L₁ →ₗ⁅R⁆ L₂) (c : R) (x : L₁) : f (c • x) = c • f x :=
   LinearMap.map_smul (f : L₁ →ₗ[R] L₂) c x
 #align lie_hom.map_smul LieHom.map_smul
 
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 @[simp]
 theorem map_add (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x + y) = f x + f y :=
   LinearMap.map_add (f : L₁ →ₗ[R] L₂) x y
 #align lie_hom.map_add LieHom.map_add
 
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 @[simp]
 theorem map_sub (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x - y) = f x - f y :=
   LinearMap.map_sub (f : L₁ →ₗ[R] L₂) x y
 #align lie_hom.map_sub LieHom.map_sub
 
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 @[simp]
 theorem map_neg (f : L₁ →ₗ⁅R⁆ L₂) (x : L₁) : f (-x) = -f x :=
   LinearMap.map_neg (f : L₁ →ₗ[R] L₂) x
 #align lie_hom.map_neg LieHom.map_neg
 
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 @[simp]
 theorem map_lie (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f ⁅x, y⁆ = ⁅f x, f y⁆ :=
   LieHom.map_lie' f
 #align lie_hom.map_lie LieHom.map_lie
 
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 @[simp]
 theorem map_zero (f : L₁ →ₗ⁅R⁆ L₂) : f 0 = 0 :=
   (f : L₁ →ₗ[R] L₂).map_zero
@@ -481,23 +352,11 @@ def id : L₁ →ₗ⁅R⁆ L₁ :=
 #align lie_hom.id LieHom.id
 -/
 
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 @[simp]
 theorem coe_id : ((id : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
   rfl
 #align lie_hom.coe_id LieHom.coe_id
 
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 theorem id_apply (x : L₁) : (id : L₁ →ₗ⁅R⁆ L₁) x = x :=
   rfl
 #align lie_hom.id_apply LieHom.id_apply
@@ -506,23 +365,11 @@ theorem id_apply (x : L₁) : (id : L₁ →ₗ⁅R⁆ L₁) x = x :=
 instance : Zero (L₁ →ₗ⁅R⁆ L₂) :=
   ⟨{ (0 : L₁ →ₗ[R] L₂) with map_lie' := by simp }⟩
 
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 @[norm_cast, simp]
 theorem coe_zero : ((0 : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = 0 :=
   rfl
 #align lie_hom.coe_zero LieHom.coe_zero
 
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 theorem zero_apply (x : L₁) : (0 : L₁ →ₗ⁅R⁆ L₂) x = 0 :=
   rfl
 #align lie_hom.zero_apply LieHom.zero_apply
@@ -531,23 +378,11 @@ theorem zero_apply (x : L₁) : (0 : L₁ →ₗ⁅R⁆ L₂) x = 0 :=
 instance : One (L₁ →ₗ⁅R⁆ L₁) :=
   ⟨id⟩
 
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 @[simp]
 theorem coe_one : ((1 : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
   rfl
 #align lie_hom.coe_one LieHom.coe_one
 
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 theorem one_apply (x : L₁) : (1 : L₁ →ₗ⁅R⁆ L₁) x = x :=
   rfl
 #align lie_hom.one_apply LieHom.one_apply
@@ -555,57 +390,27 @@ theorem one_apply (x : L₁) : (1 : L₁ →ₗ⁅R⁆ L₁) x = x :=
 instance : Inhabited (L₁ →ₗ⁅R⁆ L₂) :=
   ⟨0⟩
 
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 theorem coe_injective : @Function.Injective (L₁ →ₗ⁅R⁆ L₂) (L₁ → L₂) coeFn := by
   rintro ⟨⟨f, _⟩⟩ ⟨⟨g, _⟩⟩ ⟨h⟩ <;> congr
 #align lie_hom.coe_injective LieHom.coe_injective
 
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 @[ext]
 theorem ext {f g : L₁ →ₗ⁅R⁆ L₂} (h : ∀ x, f x = g x) : f = g :=
   coe_injective <| funext h
 #align lie_hom.ext LieHom.ext
 
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 theorem ext_iff {f g : L₁ →ₗ⁅R⁆ L₂} : f = g ↔ ∀ x, f x = g x :=
   ⟨by rintro rfl x; rfl, ext⟩
 #align lie_hom.ext_iff LieHom.ext_iff
 
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 theorem congr_fun {f g : L₁ →ₗ⁅R⁆ L₂} (h : f = g) (x : L₁) : f x = g x :=
   h ▸ rfl
 #align lie_hom.congr_fun LieHom.congr_fun
 
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 @[simp]
 theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) = f := by ext; rfl
 #align lie_hom.mk_coe LieHom.mk_coe
 
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 @[simp]
 theorem coe_mk (f : L₁ → L₂) (h₁ h₂ h₃) : ((⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = f :=
   rfl
@@ -619,19 +424,10 @@ def comp (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) : L₁ →
 #align lie_hom.comp LieHom.comp
 -/
 
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 theorem comp_apply (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) (x : L₁) : f.comp g x = f (g x) :=
   rfl
 #align lie_hom.comp_apply LieHom.comp_apply
 
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 @[norm_cast, simp]
 theorem coe_comp (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) : (f.comp g : L₁ → L₃) = f ∘ g :=
   rfl
@@ -657,12 +453,6 @@ theorem id_comp (f : L₁ →ₗ⁅R⁆ L₂) : (id : L₂ →ₗ⁅R⁆ L₂).c
 #align lie_hom.id_comp LieHom.id_comp
 -/
 
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 /-- The inverse of a bijective morphism is a morphism. -/
 def inverse (f : L₁ →ₗ⁅R⁆ L₂) (g : L₂ → L₁) (h₁ : Function.LeftInverse g f)
     (h₂ : Function.RightInverse g f) : L₂ →ₗ⁅R⁆ L₁ :=
@@ -703,9 +493,6 @@ def LieRingModule.compLieHom : LieRingModule L₁ M
 #align lie_ring_module.comp_lie_hom LieRingModule.compLieHom
 -/
 
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 theorem LieRingModule.compLieHom_apply (x : L₁) (m : M) :
     haveI := LieRingModule.compLieHom M f
     ⁅x, m⁆ = ⁅f x, m⁆ :=
@@ -775,28 +562,16 @@ instance hasCoeToLinearEquiv : Coe (L₁ ≃ₗ⁅R⁆ L₂) (L₁ ≃ₗ[R] L
 instance : CoeFun (L₁ ≃ₗ⁅R⁆ L₂) fun _ => L₁ → L₂ :=
   ⟨fun e => e.toLieHom.toFun⟩
 
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 @[simp, norm_cast]
 theorem coe_to_lieHom (e : L₁ ≃ₗ⁅R⁆ L₂) : ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = e :=
   rfl
 #align lie_equiv.coe_to_lie_hom LieEquiv.coe_to_lieHom
 
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-<too large>
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 @[simp, norm_cast]
 theorem coe_to_linearEquiv (e : L₁ ≃ₗ⁅R⁆ L₂) : ((e : L₁ ≃ₗ[R] L₂) : L₁ → L₂) = e :=
   rfl
 #align lie_equiv.coe_to_linear_equiv LieEquiv.coe_to_linearEquiv
 
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 @[simp]
 theorem to_linearEquiv_mk (f : L₁ →ₗ⁅R⁆ L₂) (g h₁ h₂) :
     (mk f g h₁ h₂ : L₁ ≃ₗ[R] L₂) =
@@ -815,22 +590,10 @@ theorem coe_linearEquiv_injective : Injective (coe : (L₁ ≃ₗ⁅R⁆ L₂) 
 #align lie_equiv.coe_linear_equiv_injective LieEquiv.coe_linearEquiv_injective
 -/
 
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 theorem coe_injective : @Injective (L₁ ≃ₗ⁅R⁆ L₂) (L₁ → L₂) coeFn :=
   LinearEquiv.coe_injective.comp coe_linearEquiv_injective
 #align lie_equiv.coe_injective LieEquiv.coe_injective
 
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 @[ext]
 theorem ext {f g : L₁ ≃ₗ⁅R⁆ L₂} (h : ∀ x, f x = g x) : f = g :=
   coe_injective <| funext h
@@ -839,12 +602,6 @@ theorem ext {f g : L₁ ≃ₗ⁅R⁆ L₂} (h : ∀ x, f x = g x) : f = g :=
 instance : One (L₁ ≃ₗ⁅R⁆ L₁) :=
   ⟨{ (1 : L₁ ≃ₗ[R] L₁) with map_lie' := fun x y => rfl }⟩
 
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 @[simp]
 theorem one_apply (x : L₁) : (1 : L₁ ≃ₗ⁅R⁆ L₁) x = x :=
   rfl
@@ -861,12 +618,6 @@ def refl : L₁ ≃ₗ⁅R⁆ L₁ :=
 #align lie_equiv.refl LieEquiv.refl
 -/
 
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 @[simp]
 theorem refl_apply (x : L₁) : (refl : L₁ ≃ₗ⁅R⁆ L₁) x = x :=
   rfl
@@ -886,23 +637,11 @@ theorem symm_symm (e : L₁ ≃ₗ⁅R⁆ L₂) : e.symm.symm = e := by ext; rfl
 #align lie_equiv.symm_symm LieEquiv.symm_symm
 -/
 
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 @[simp]
 theorem apply_symm_apply (e : L₁ ≃ₗ⁅R⁆ L₂) : ∀ x, e (e.symm x) = x :=
   e.toLinearEquiv.apply_symm_apply
 #align lie_equiv.apply_symm_apply LieEquiv.apply_symm_apply
 
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 @[simp]
 theorem symm_apply_apply (e : L₁ ≃ₗ⁅R⁆ L₂) : ∀ x, e.symm (e x) = x :=
   e.toLinearEquiv.symm_apply_apply
@@ -937,9 +676,6 @@ theorem symm_trans_self (e : L₁ ≃ₗ⁅R⁆ L₂) : e.symm.trans e = refl :=
 #align lie_equiv.symm_trans_self LieEquiv.symm_trans_self
 -/
 
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 @[simp]
 theorem trans_apply (e₁ : L₁ ≃ₗ⁅R⁆ L₂) (e₂ : L₂ ≃ₗ⁅R⁆ L₃) (x : L₁) : (e₁.trans e₂) x = e₂ (e₁ x) :=
   rfl
@@ -953,43 +689,19 @@ theorem symm_trans (e₁ : L₁ ≃ₗ⁅R⁆ L₂) (e₂ : L₂ ≃ₗ⁅R⁆ L
 #align lie_equiv.symm_trans LieEquiv.symm_trans
 -/
 
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 protected theorem bijective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Bijective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
   e.toLinearEquiv.Bijective
 #align lie_equiv.bijective LieEquiv.bijective
 
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 protected theorem injective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Injective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
   e.toLinearEquiv.Injective
 #align lie_equiv.injective LieEquiv.injective
 
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 protected theorem surjective (e : L₁ ≃ₗ⁅R⁆ L₂) :
     Function.Surjective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
   e.toLinearEquiv.Surjective
 #align lie_equiv.surjective LieEquiv.surjective
 
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 /-- A bijective morphism of Lie algebras yields an equivalence of Lie algebras. -/
 @[simps]
 noncomputable def ofBijective (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Bijective f) : L₁ ≃ₗ⁅R⁆ L₂ :=
@@ -1016,12 +728,6 @@ variable [LieRingModule L M] [LieRingModule L N] [LieRingModule L P]
 
 variable [LieModule R L M] [LieModule R L N] [LieModule R L P]
 
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 /-- A morphism of Lie algebra modules is a linear map which commutes with the action of the Lie
 algebra. -/
 structure LieModuleHom extends M →ₗ[R] N where
@@ -1044,91 +750,55 @@ instance : Coe (M →ₗ⁅R,L⁆ N) (M →ₗ[R] N) :=
 instance : CoeFun (M →ₗ⁅R,L⁆ N) fun _ => M → N :=
   ⟨fun f => f.toLinearMap.toFun⟩
 
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 @[simp, norm_cast]
 theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
   rfl
 #align lie_module_hom.coe_to_linear_map LieModuleHom.coe_to_linearMap
 
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 @[simp]
 theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c • f x :=
   LinearMap.map_smul (f : M →ₗ[R] N) c x
 #align lie_module_hom.map_smul LieModuleHom.map_smul
 
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 @[simp]
 theorem map_add (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x + y) = f x + f y :=
   LinearMap.map_add (f : M →ₗ[R] N) x y
 #align lie_module_hom.map_add LieModuleHom.map_add
 
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 @[simp]
 theorem map_sub (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x - y) = f x - f y :=
   LinearMap.map_sub (f : M →ₗ[R] N) x y
 #align lie_module_hom.map_sub LieModuleHom.map_sub
 
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 @[simp]
 theorem map_neg (f : M →ₗ⁅R,L⁆ N) (x : M) : f (-x) = -f x :=
   LinearMap.map_neg (f : M →ₗ[R] N) x
 #align lie_module_hom.map_neg LieModuleHom.map_neg
 
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 @[simp]
 theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x, f m⁆ :=
   LieModuleHom.map_lie' f
 #align lie_module_hom.map_lie LieModuleHom.map_lie
 
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 theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N) :
     ⁅x, f m n⁆ = f ⁅x, m⁆ n + f m ⁅x, n⁆ := by simp only [sub_add_cancel, map_lie, LieHom.lie_apply]
 #align lie_module_hom.map_lie₂ LieModuleHom.map_lie₂
 
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 @[simp]
 theorem map_zero (f : M →ₗ⁅R,L⁆ N) : f 0 = 0 :=
   LinearMap.map_zero (f : M →ₗ[R] N)
 #align lie_module_hom.map_zero LieModuleHom.map_zero
 
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 /-- The identity map is a morphism of Lie modules. -/
 def id : M →ₗ⁅R,L⁆ M :=
   { (LinearMap.id : M →ₗ[R] M) with map_lie' := fun x m => rfl }
 #align lie_module_hom.id LieModuleHom.id
 
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 @[simp]
 theorem coe_id : ((id : M →ₗ⁅R,L⁆ M) : M → M) = id :=
   rfl
 #align lie_module_hom.coe_id LieModuleHom.coe_id
 
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 theorem id_apply (x : M) : (id : M →ₗ⁅R,L⁆ M) x = x :=
   rfl
 #align lie_module_hom.id_apply LieModuleHom.id_apply
@@ -1137,17 +807,11 @@ theorem id_apply (x : M) : (id : M →ₗ⁅R,L⁆ M) x = x :=
 instance : Zero (M →ₗ⁅R,L⁆ N) :=
   ⟨{ (0 : M →ₗ[R] N) with map_lie' := by simp }⟩
 
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 @[norm_cast, simp]
 theorem coe_zero : ((0 : M →ₗ⁅R,L⁆ N) : M → N) = 0 :=
   rfl
 #align lie_module_hom.coe_zero LieModuleHom.coe_zero
 
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 theorem zero_apply (m : M) : (0 : M →ₗ⁅R,L⁆ N) m = 0 :=
   rfl
 #align lie_module_hom.zero_apply LieModuleHom.zero_apply
@@ -1159,92 +823,56 @@ instance : One (M →ₗ⁅R,L⁆ M) :=
 instance : Inhabited (M →ₗ⁅R,L⁆ N) :=
   ⟨0⟩
 
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 theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeFn := by
   rintro ⟨⟨f, _⟩⟩ ⟨⟨g, _⟩⟩ ⟨h⟩; congr
 #align lie_module_hom.coe_injective LieModuleHom.coe_injective
 
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 @[ext]
 theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
   coe_injective <| funext h
 #align lie_module_hom.ext LieModuleHom.ext
 
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 theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
   ⟨by rintro rfl m; rfl, ext⟩
 #align lie_module_hom.ext_iff LieModuleHom.ext_iff
 
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 theorem congr_fun {f g : M →ₗ⁅R,L⁆ N} (h : f = g) (x : M) : f x = g x :=
   h ▸ rfl
 #align lie_module_hom.congr_fun LieModuleHom.congr_fun
 
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 @[simp]
 theorem mk_coe (f : M →ₗ⁅R,L⁆ N) (h) : (⟨f, h⟩ : M →ₗ⁅R,L⁆ N) = f := by ext; rfl
 #align lie_module_hom.mk_coe LieModuleHom.mk_coe
 
-/- warning: lie_module_hom.coe_mk -> LieModuleHom.coe_mk is a dubious translation:
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 @[simp]
 theorem coe_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M → N) = f := by ext; rfl
 #align lie_module_hom.coe_mk LieModuleHom.coe_mk
 
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 @[norm_cast, simp]
 theorem coe_linear_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M →ₗ[R] N) = f := by ext; rfl
 #align lie_module_hom.coe_linear_mk LieModuleHom.coe_linear_mk
 
-/- warning: lie_module_hom.comp -> LieModuleHom.comp is a dubious translation:
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 /-- The composition of Lie module morphisms is a morphism. -/
 def comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : M →ₗ⁅R,L⁆ P :=
   { LinearMap.comp f.toLinearMap g.toLinearMap with
     map_lie' := fun x m => by change f (g ⁅x, m⁆) = ⁅x, f (g m)⁆; rw [map_lie, map_lie] }
 #align lie_module_hom.comp LieModuleHom.comp
 
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 theorem comp_apply (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) (m : M) : f.comp g m = f (g m) :=
   rfl
 #align lie_module_hom.comp_apply LieModuleHom.comp_apply
 
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 @[norm_cast, simp]
 theorem coe_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : (f.comp g : M → P) = f ∘ g :=
   rfl
 #align lie_module_hom.coe_comp LieModuleHom.coe_comp
 
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 @[norm_cast, simp]
 theorem coe_linearMap_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) :
     (f.comp g : M →ₗ[R] P) = (f : N →ₗ[R] P).comp (g : M →ₗ[R] N) :=
   rfl
 #align lie_module_hom.coe_linear_map_comp LieModuleHom.coe_linearMap_comp
 
-/- warning: lie_module_hom.inverse -> LieModuleHom.inverse is a dubious translation:
-<too large>
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 /-- The inverse of a bijective morphism of Lie modules is a morphism of Lie modules. -/
 def inverse (f : M →ₗ⁅R,L⁆ N) (g : N → M) (h₁ : Function.LeftInverse g f)
     (h₂ : Function.RightInverse g f) : N →ₗ⁅R,L⁆ M :=
@@ -1265,91 +893,55 @@ instance : Sub (M →ₗ⁅R,L⁆ N)
 
 instance : Neg (M →ₗ⁅R,L⁆ N) where neg f := { -(f : M →ₗ[R] N) with map_lie' := by simp }
 
-/- warning: lie_module_hom.coe_add -> LieModuleHom.coe_add is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_add LieModuleHom.coe_addₓ'. -/
 @[norm_cast, simp]
 theorem coe_add (f g : M →ₗ⁅R,L⁆ N) : ⇑(f + g) = f + g :=
   rfl
 #align lie_module_hom.coe_add LieModuleHom.coe_add
 
-/- warning: lie_module_hom.add_apply -> LieModuleHom.add_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_hom.add_apply LieModuleHom.add_applyₓ'. -/
 theorem add_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f + g) m = f m + g m :=
   rfl
 #align lie_module_hom.add_apply LieModuleHom.add_apply
 
-/- warning: lie_module_hom.coe_sub -> LieModuleHom.coe_sub is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_sub LieModuleHom.coe_subₓ'. -/
 @[norm_cast, simp]
 theorem coe_sub (f g : M →ₗ⁅R,L⁆ N) : ⇑(f - g) = f - g :=
   rfl
 #align lie_module_hom.coe_sub LieModuleHom.coe_sub
 
-/- warning: lie_module_hom.sub_apply -> LieModuleHom.sub_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_hom.sub_apply LieModuleHom.sub_applyₓ'. -/
 theorem sub_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f - g) m = f m - g m :=
   rfl
 #align lie_module_hom.sub_apply LieModuleHom.sub_apply
 
-/- warning: lie_module_hom.coe_neg -> LieModuleHom.coe_neg is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_neg LieModuleHom.coe_negₓ'. -/
 @[norm_cast, simp]
 theorem coe_neg (f : M →ₗ⁅R,L⁆ N) : ⇑(-f) = -f :=
   rfl
 #align lie_module_hom.coe_neg LieModuleHom.coe_neg
 
-/- warning: lie_module_hom.neg_apply -> LieModuleHom.neg_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_hom.neg_apply LieModuleHom.neg_applyₓ'. -/
 theorem neg_apply (f : M →ₗ⁅R,L⁆ N) (m : M) : (-f) m = -f m :=
   rfl
 #align lie_module_hom.neg_apply LieModuleHom.neg_apply
 
-/- warning: lie_module_hom.has_nsmul -> LieModuleHom.hasNsmul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_hom.has_nsmul LieModuleHom.hasNsmulₓ'. -/
 instance hasNsmul : SMul ℕ (M →ₗ⁅R,L⁆ N)
     where smul n f := { n • (f : M →ₗ[R] N) with map_lie' := fun x m => by simp }
 #align lie_module_hom.has_nsmul LieModuleHom.hasNsmul
 
-/- warning: lie_module_hom.coe_nsmul -> LieModuleHom.coe_nsmul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_nsmul LieModuleHom.coe_nsmulₓ'. -/
 @[norm_cast, simp]
 theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • f :=
   rfl
 #align lie_module_hom.coe_nsmul LieModuleHom.coe_nsmul
 
-/- warning: lie_module_hom.nsmul_apply -> LieModuleHom.nsmul_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_hom.nsmul_apply LieModuleHom.nsmul_applyₓ'. -/
 theorem nsmul_apply (n : ℕ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (n • f) m = n • f m :=
   rfl
 #align lie_module_hom.nsmul_apply LieModuleHom.nsmul_apply
 
-/- warning: lie_module_hom.has_zsmul -> LieModuleHom.hasZsmul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_hom.has_zsmul LieModuleHom.hasZsmulₓ'. -/
 instance hasZsmul : SMul ℤ (M →ₗ⁅R,L⁆ N)
     where smul z f := { z • (f : M →ₗ[R] N) with map_lie' := fun x m => by simp }
 #align lie_module_hom.has_zsmul LieModuleHom.hasZsmul
 
-/- warning: lie_module_hom.coe_zsmul -> LieModuleHom.coe_zsmul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_zsmul LieModuleHom.coe_zsmulₓ'. -/
 @[norm_cast, simp]
 theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • f :=
   rfl
 #align lie_module_hom.coe_zsmul LieModuleHom.coe_zsmul
 
-/- warning: lie_module_hom.zsmul_apply -> LieModuleHom.zsmul_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_hom.zsmul_apply LieModuleHom.zsmul_applyₓ'. -/
 theorem zsmul_apply (z : ℤ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (z • f) m = z • f m :=
   rfl
 #align lie_module_hom.zsmul_apply LieModuleHom.zsmul_apply
@@ -1360,17 +952,11 @@ instance : AddCommGroup (M →ₗ⁅R,L⁆ N) :=
 
 instance : SMul R (M →ₗ⁅R,L⁆ N) where smul t f := { t • (f : M →ₗ[R] N) with map_lie' := by simp }
 
-/- warning: lie_module_hom.coe_smul -> LieModuleHom.coe_smul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_smul LieModuleHom.coe_smulₓ'. -/
 @[norm_cast, simp]
 theorem coe_smul (t : R) (f : M →ₗ⁅R,L⁆ N) : ⇑(t • f) = t • f :=
   rfl
 #align lie_module_hom.coe_smul LieModuleHom.coe_smul
 
-/- warning: lie_module_hom.smul_apply -> LieModuleHom.smul_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_hom.smul_apply LieModuleHom.smul_applyₓ'. -/
 theorem smul_apply (t : R) (f : M →ₗ⁅R,L⁆ N) (m : M) : (t • f) m = t • f m :=
   rfl
 #align lie_module_hom.smul_apply LieModuleHom.smul_apply
@@ -1380,12 +966,6 @@ instance : Module R (M →ₗ⁅R,L⁆ N) :=
 
 end LieModuleHom
 
-/- warning: lie_module_equiv -> LieModuleEquiv is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (L : Type.{u2}) (M : Type.{u3}) (N : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Sort.{max (succ u3) (succ u4)}
-but is expected to have type
-  forall (R : Type.{u1}) (L : Type.{u2}) (M : Type.{u3}) (N : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Sort.{max (succ u3) (succ u4)}
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv LieModuleEquivₓ'. -/
 /-- An equivalence of Lie algebra modules is a linear equivalence which is also a morphism of
 Lie algebra modules. -/
 structure LieModuleEquiv extends M →ₗ⁅R,L⁆ N where
@@ -1403,39 +983,24 @@ namespace LieModuleEquiv
 
 variable {R L M N P}
 
-/- warning: lie_module_equiv.to_linear_equiv -> LieModuleEquiv.toLinearEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.to_linear_equiv LieModuleEquiv.toLinearEquivₓ'. -/
 /-- View an equivalence of Lie modules as a linear equivalence. -/
 def toLinearEquiv (e : M ≃ₗ⁅R,L⁆ N) : M ≃ₗ[R] N :=
   { e with }
 #align lie_module_equiv.to_linear_equiv LieModuleEquiv.toLinearEquiv
 
-/- warning: lie_module_equiv.to_equiv -> LieModuleEquiv.toEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.to_equiv LieModuleEquiv.toEquivₓ'. -/
 /-- View an equivalence of Lie modules as a type level equivalence. -/
 def toEquiv (e : M ≃ₗ⁅R,L⁆ N) : M ≃ N :=
   { e with }
 #align lie_module_equiv.to_equiv LieModuleEquiv.toEquiv
 
-/- warning: lie_module_equiv.has_coe_to_equiv -> LieModuleEquiv.hasCoeToEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.has_coe_to_equiv LieModuleEquiv.hasCoeToEquivₓ'. -/
 instance hasCoeToEquiv : Coe (M ≃ₗ⁅R,L⁆ N) (M ≃ N) :=
   ⟨toEquiv⟩
 #align lie_module_equiv.has_coe_to_equiv LieModuleEquiv.hasCoeToEquiv
 
-/- warning: lie_module_equiv.has_coe_to_lie_module_hom -> LieModuleEquiv.hasCoeToLieModuleHom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.has_coe_to_lie_module_hom LieModuleEquiv.hasCoeToLieModuleHomₓ'. -/
 instance hasCoeToLieModuleHom : Coe (M ≃ₗ⁅R,L⁆ N) (M →ₗ⁅R,L⁆ N) :=
   ⟨toLieModuleHom⟩
 #align lie_module_equiv.has_coe_to_lie_module_hom LieModuleEquiv.hasCoeToLieModuleHom
 
-/- warning: lie_module_equiv.has_coe_to_linear_equiv -> LieModuleEquiv.hasCoeToLinearEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.has_coe_to_linear_equiv LieModuleEquiv.hasCoeToLinearEquivₓ'. -/
 instance hasCoeToLinearEquiv : Coe (M ≃ₗ⁅R,L⁆ N) (M ≃ₗ[R] N) :=
   ⟨toLinearEquiv⟩
 #align lie_module_equiv.has_coe_to_linear_equiv LieModuleEquiv.hasCoeToLinearEquiv
@@ -1444,41 +1009,26 @@ instance hasCoeToLinearEquiv : Coe (M ≃ₗ⁅R,L⁆ N) (M ≃ₗ[R] N) :=
 instance : CoeFun (M ≃ₗ⁅R,L⁆ N) fun _ => M → N :=
   ⟨fun e => e.toLieModuleHom.toFun⟩
 
-/- warning: lie_module_equiv.injective -> LieModuleEquiv.injective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.injective LieModuleEquiv.injectiveₓ'. -/
 theorem injective (e : M ≃ₗ⁅R,L⁆ N) : Function.Injective e :=
   e.toEquiv.Injective
 #align lie_module_equiv.injective LieModuleEquiv.injective
 
-/- warning: lie_module_equiv.coe_mk -> LieModuleEquiv.coe_mk is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_mk LieModuleEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ⁅R,L⁆ N) (inv_fun h₁ h₂) :
     ((⟨f, inv_fun, h₁, h₂⟩ : M ≃ₗ⁅R,L⁆ N) : M → N) = f :=
   rfl
 #align lie_module_equiv.coe_mk LieModuleEquiv.coe_mk
 
-/- warning: lie_module_equiv.coe_to_lie_module_hom -> LieModuleEquiv.coe_to_lieModuleHom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_to_lie_module_hom LieModuleEquiv.coe_to_lieModuleHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_lieModuleHom (e : M ≃ₗ⁅R,L⁆ N) : ((e : M →ₗ⁅R,L⁆ N) : M → N) = e :=
   rfl
 #align lie_module_equiv.coe_to_lie_module_hom LieModuleEquiv.coe_to_lieModuleHom
 
-/- warning: lie_module_equiv.coe_to_linear_equiv -> LieModuleEquiv.coe_to_linearEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_to_linear_equiv LieModuleEquiv.coe_to_linearEquivₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearEquiv (e : M ≃ₗ⁅R,L⁆ N) : ((e : M ≃ₗ[R] N) : M → N) = e :=
   rfl
 #align lie_module_equiv.coe_to_linear_equiv LieModuleEquiv.coe_to_linearEquiv
 
-/- warning: lie_module_equiv.to_equiv_injective -> LieModuleEquiv.toEquiv_injective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.to_equiv_injective LieModuleEquiv.toEquiv_injectiveₓ'. -/
 theorem toEquiv_injective : Function.Injective (toEquiv : (M ≃ₗ⁅R,L⁆ N) → M ≃ N) := fun e₁ e₂ h =>
   by
   rcases e₁ with ⟨⟨⟩⟩; rcases e₂ with ⟨⟨⟩⟩
@@ -1492,9 +1042,6 @@ theorem toEquiv_injective : Function.Injective (toEquiv : (M ≃ₗ⁅R,L⁆ N)
   · exact inj.2
 #align lie_module_equiv.to_equiv_injective LieModuleEquiv.toEquiv_injective
 
-/- warning: lie_module_equiv.ext -> LieModuleEquiv.ext is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.ext LieModuleEquiv.extₓ'. -/
 @[ext]
 theorem ext (e₁ e₂ : M ≃ₗ⁅R,L⁆ N) (h : ∀ m, e₁ m = e₂ m) : e₁ = e₂ :=
   toEquiv_injective (Equiv.ext h)
@@ -1503,9 +1050,6 @@ theorem ext (e₁ e₂ : M ≃ₗ⁅R,L⁆ N) (h : ∀ m, e₁ m = e₂ m) : e
 instance : One (M ≃ₗ⁅R,L⁆ M) :=
   ⟨{ (1 : M ≃ₗ[R] M) with map_lie' := fun x m => rfl }⟩
 
-/- warning: lie_module_equiv.one_apply -> LieModuleEquiv.one_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.one_apply LieModuleEquiv.one_applyₓ'. -/
 @[simp]
 theorem one_apply (m : M) : (1 : M ≃ₗ⁅R,L⁆ M) m = m :=
   rfl
@@ -1514,29 +1058,17 @@ theorem one_apply (m : M) : (1 : M ≃ₗ⁅R,L⁆ M) m = m :=
 instance : Inhabited (M ≃ₗ⁅R,L⁆ M) :=
   ⟨1⟩
 
-/- warning: lie_module_equiv.refl -> LieModuleEquiv.refl is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10], LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13
-but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.refl LieModuleEquiv.reflₓ'. -/
 /-- Lie module equivalences are reflexive. -/
 @[refl]
 def refl : M ≃ₗ⁅R,L⁆ M :=
   1
 #align lie_module_equiv.refl LieModuleEquiv.refl
 
-/- warning: lie_module_equiv.refl_apply -> LieModuleEquiv.refl_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.refl_apply LieModuleEquiv.refl_applyₓ'. -/
 @[simp]
 theorem refl_apply (m : M) : (refl : M ≃ₗ⁅R,L⁆ M) m = m :=
   rfl
 #align lie_module_equiv.refl_apply LieModuleEquiv.refl_apply
 
-/- warning: lie_module_equiv.symm -> LieModuleEquiv.symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm LieModuleEquiv.symmₓ'. -/
 /-- Lie module equivalences are syemmtric. -/
 @[symm]
 def symm (e : M ≃ₗ⁅R,L⁆ N) : N ≃ₗ⁅R,L⁆ M :=
@@ -1544,33 +1076,21 @@ def symm (e : M ≃ₗ⁅R,L⁆ N) : N ≃ₗ⁅R,L⁆ M :=
     (e : M ≃ₗ[R] N).symm with }
 #align lie_module_equiv.symm LieModuleEquiv.symm
 
-/- warning: lie_module_equiv.apply_symm_apply -> LieModuleEquiv.apply_symm_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.apply_symm_apply LieModuleEquiv.apply_symm_applyₓ'. -/
 @[simp]
 theorem apply_symm_apply (e : M ≃ₗ⁅R,L⁆ N) : ∀ x, e (e.symm x) = x :=
   e.toLinearEquiv.apply_symm_apply
 #align lie_module_equiv.apply_symm_apply LieModuleEquiv.apply_symm_apply
 
-/- warning: lie_module_equiv.symm_apply_apply -> LieModuleEquiv.symm_apply_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm_apply_apply LieModuleEquiv.symm_apply_applyₓ'. -/
 @[simp]
 theorem symm_apply_apply (e : M ≃ₗ⁅R,L⁆ N) : ∀ x, e.symm (e x) = x :=
   e.toLinearEquiv.symm_apply_apply
 #align lie_module_equiv.symm_apply_apply LieModuleEquiv.symm_apply_apply
 
-/- warning: lie_module_equiv.symm_symm -> LieModuleEquiv.symm_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm_symm LieModuleEquiv.symm_symmₓ'. -/
 @[simp]
 theorem symm_symm (e : M ≃ₗ⁅R,L⁆ N) : e.symm.symm = e := by ext;
   apply_fun e.symm using e.symm.injective; simp
 #align lie_module_equiv.symm_symm LieModuleEquiv.symm_symm
 
-/- warning: lie_module_equiv.trans -> LieModuleEquiv.trans is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.trans LieModuleEquiv.transₓ'. -/
 /-- Lie module equivalences are transitive. -/
 @[trans]
 def trans (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) : M ≃ₗ⁅R,L⁆ P :=
@@ -1578,34 +1098,22 @@ def trans (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) : M ≃ₗ
     LinearEquiv.trans e₁.toLinearEquiv e₂.toLinearEquiv with }
 #align lie_module_equiv.trans LieModuleEquiv.trans
 
-/- warning: lie_module_equiv.trans_apply -> LieModuleEquiv.trans_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.trans_apply LieModuleEquiv.trans_applyₓ'. -/
 @[simp]
 theorem trans_apply (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) (m : M) : (e₁.trans e₂) m = e₂ (e₁ m) :=
   rfl
 #align lie_module_equiv.trans_apply LieModuleEquiv.trans_apply
 
-/- warning: lie_module_equiv.symm_trans -> LieModuleEquiv.symm_trans is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm_trans LieModuleEquiv.symm_transₓ'. -/
 @[simp]
 theorem symm_trans (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) :
     (e₁.trans e₂).symm = e₂.symm.trans e₁.symm :=
   rfl
 #align lie_module_equiv.symm_trans LieModuleEquiv.symm_trans
 
-/- warning: lie_module_equiv.self_trans_symm -> LieModuleEquiv.self_trans_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.self_trans_symm LieModuleEquiv.self_trans_symmₓ'. -/
 @[simp]
 theorem self_trans_symm (e : M ≃ₗ⁅R,L⁆ N) : e.trans e.symm = refl :=
   ext _ _ e.symm_apply_apply
 #align lie_module_equiv.self_trans_symm LieModuleEquiv.self_trans_symm
 
-/- warning: lie_module_equiv.symm_trans_self -> LieModuleEquiv.symm_trans_self is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm_trans_self LieModuleEquiv.symm_trans_selfₓ'. -/
 @[simp]
 theorem symm_trans_self (e : M ≃ₗ⁅R,L⁆ N) : e.symm.trans e = refl :=
   ext _ _ e.apply_symm_apply

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

@@ -229,10 +229,7 @@ but is expected to have type
   forall {L : Type.{u1}} {M : Type.{u2}} [_inst_2 : LieRing.{u1} L] [_inst_4 : AddCommGroup.{u2} M] [_inst_6 : LieRingModule.{u1, u2} L M _inst_2 _inst_4] (x : L) (m : M), Eq.{succ u2} M (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) (Neg.neg.{u1} L (NegZeroClass.toNeg.{u1} L (SubNegZeroMonoid.toNegZeroClass.{u1} L (SubtractionMonoid.toSubNegZeroMonoid.{u1} L (SubtractionCommMonoid.toSubtractionMonoid.{u1} L (AddCommGroup.toDivisionAddCommMonoid.{u1} L (LieRing.toAddCommGroup.{u1} L _inst_2)))))) x) m) (Neg.neg.{u2} M (NegZeroClass.toNeg.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x m))
 Case conversion may be inaccurate. Consider using '#align neg_lie neg_lieₓ'. -/
 @[simp]
-theorem neg_lie : ⁅-x, m⁆ = -⁅x, m⁆ :=
-  by
-  rw [← sub_eq_zero, sub_neg_eq_add, ← add_lie]
-  simp
+theorem neg_lie : ⁅-x, m⁆ = -⁅x, m⁆ := by rw [← sub_eq_zero, sub_neg_eq_add, ← add_lie]; simp
 #align neg_lie neg_lie
 
 /- warning: lie_neg -> lie_neg is a dubious translation:
@@ -242,10 +239,7 @@ but is expected to have type
   forall {L : Type.{u1}} {M : Type.{u2}} [_inst_2 : LieRing.{u1} L] [_inst_4 : AddCommGroup.{u2} M] [_inst_6 : LieRingModule.{u1, u2} L M _inst_2 _inst_4] (x : L) (m : M), Eq.{succ u2} M (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x (Neg.neg.{u2} M (NegZeroClass.toNeg.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) m)) (Neg.neg.{u2} M (NegZeroClass.toNeg.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x m))
 Case conversion may be inaccurate. Consider using '#align lie_neg lie_negₓ'. -/
 @[simp]
-theorem lie_neg : ⁅x, -m⁆ = -⁅x, m⁆ :=
-  by
-  rw [← sub_eq_zero, sub_neg_eq_add, ← lie_add]
-  simp
+theorem lie_neg : ⁅x, -m⁆ = -⁅x, m⁆ := by rw [← sub_eq_zero, sub_neg_eq_add, ← lie_add]; simp
 #align lie_neg lie_neg
 
 /- warning: sub_lie -> sub_lie is a dubious translation:
@@ -312,10 +306,8 @@ lean 3 declaration is
 but is expected to have type
   forall {L : Type.{u1}} [_inst_2 : LieRing.{u1} L] (x : L) (y : L) (z : L), Eq.{succ u1} L (HAdd.hAdd.{u1, u1, u1} L L L (instHAdd.{u1} L (AddZeroClass.toAdd.{u1} L (AddMonoid.toAddZeroClass.{u1} L (SubNegMonoid.toAddMonoid.{u1} L (AddGroup.toSubNegMonoid.{u1} L (AddCommGroup.toAddGroup.{u1} L (LieRing.toAddCommGroup.{u1} L _inst_2))))))) (HAdd.hAdd.{u1, u1, u1} L L L (instHAdd.{u1} L (AddZeroClass.toAdd.{u1} L (AddMonoid.toAddZeroClass.{u1} L (SubNegMonoid.toAddMonoid.{u1} L (AddGroup.toSubNegMonoid.{u1} L (AddCommGroup.toAddGroup.{u1} L (LieRing.toAddCommGroup.{u1} L _inst_2))))))) (Bracket.bracket.{u1, u1} L L (LieRingModule.toBracket.{u1, u1} L L _inst_2 (LieRing.toAddCommGroup.{u1} L _inst_2) (lieRingSelfModule.{u1} L _inst_2)) x (Bracket.bracket.{u1, u1} L L (LieRingModule.toBracket.{u1, u1} L L _inst_2 (LieRing.toAddCommGroup.{u1} L _inst_2) (lieRingSelfModule.{u1} L _inst_2)) y z)) (Bracket.bracket.{u1, u1} L L (LieRingModule.toBracket.{u1, u1} L L _inst_2 (LieRing.toAddCommGroup.{u1} L _inst_2) (lieRingSelfModule.{u1} L _inst_2)) y (Bracket.bracket.{u1, u1} L L (LieRingModule.toBracket.{u1, u1} L L _inst_2 (LieRing.toAddCommGroup.{u1} L _inst_2) (lieRingSelfModule.{u1} L _inst_2)) z x))) (Bracket.bracket.{u1, u1} L L (LieRingModule.toBracket.{u1, u1} L L _inst_2 (LieRing.toAddCommGroup.{u1} L _inst_2) (lieRingSelfModule.{u1} L _inst_2)) z (Bracket.bracket.{u1, u1} L L (LieRingModule.toBracket.{u1, u1} L L _inst_2 (LieRing.toAddCommGroup.{u1} L _inst_2) (lieRingSelfModule.{u1} L _inst_2)) x y))) (OfNat.ofNat.{u1} L 0 (Zero.toOfNat0.{u1} L (NegZeroClass.toZero.{u1} L (SubNegZeroMonoid.toNegZeroClass.{u1} L (SubtractionMonoid.toSubNegZeroMonoid.{u1} L (SubtractionCommMonoid.toSubtractionMonoid.{u1} L (AddCommGroup.toDivisionAddCommMonoid.{u1} L (LieRing.toAddCommGroup.{u1} L _inst_2))))))))
 Case conversion may be inaccurate. Consider using '#align lie_jacobi lie_jacobiₓ'. -/
-theorem lie_jacobi : ⁅x, ⁅y, z⁆⁆ + ⁅y, ⁅z, x⁆⁆ + ⁅z, ⁅x, y⁆⁆ = 0 :=
-  by
-  rw [← neg_neg ⁅x, y⁆, lie_neg z, lie_skew y x, ← lie_skew, lie_lie]
-  abel
+theorem lie_jacobi : ⁅x, ⁅y, z⁆⁆ + ⁅y, ⁅z, x⁆⁆ + ⁅z, ⁅x, y⁆⁆ = 0 := by
+  rw [← neg_neg ⁅x, y⁆, lie_neg z, lie_skew y x, ← lie_skew, lie_lie]; abel
 #align lie_jacobi lie_jacobi
 
 /- warning: lie_ring.int_lie_algebra -> LieRing.intLieAlgebra is a dubious translation:
@@ -331,19 +323,13 @@ instance : LieRingModule L (M →ₗ[R] N)
     where
   bracket x f :=
     { toFun := fun m => ⁅x, f m⁆ - f ⁅x, m⁆
-      map_add' := fun m n => by
-        simp only [lie_add, LinearMap.map_add]
-        abel
+      map_add' := fun m n => by simp only [lie_add, LinearMap.map_add]; abel
       map_smul' := fun t m => by
         simp only [smul_sub, LinearMap.map_smul, lie_smul, RingHom.id_apply] }
   add_lie x y f := by
-    ext n
-    simp only [add_lie, LinearMap.coe_mk, LinearMap.add_apply, LinearMap.map_add]
-    abel
-  lie_add x f g := by
-    ext n
-    simp only [LinearMap.coe_mk, lie_add, LinearMap.add_apply]
+    ext n; simp only [add_lie, LinearMap.coe_mk, LinearMap.add_apply, LinearMap.map_add]
     abel
+  lie_add x f g := by ext n; simp only [LinearMap.coe_mk, lie_add, LinearMap.add_apply]; abel
   leibniz_lie x y f := by
     ext n
     simp only [lie_lie, LinearMap.coe_mk, LinearMap.map_sub, LinearMap.add_apply, lie_sub]
@@ -362,9 +348,7 @@ instance : LieModule R L (M →ₗ[R] N)
   smul_lie t x f := by
     ext n
     simp only [smul_sub, smul_lie, LinearMap.smul_apply, LieHom.lie_apply, LinearMap.map_smul]
-  lie_smul t x f := by
-    ext n
-    simp only [smul_sub, LinearMap.smul_apply, LieHom.lie_apply, lie_smul]
+  lie_smul t x f := by ext n; simp only [smul_sub, LinearMap.smul_apply, LieHom.lie_apply, lie_smul]
 
 end BasicProperties
 
@@ -599,9 +583,7 @@ but is expected to have type
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, Iff (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.ext_iff LieHom.ext_iffₓ'. -/
 theorem ext_iff {f g : L₁ →ₗ⁅R⁆ L₂} : f = g ↔ ∀ x, f x = g x :=
-  ⟨by
-    rintro rfl x
-    rfl, ext⟩
+  ⟨by rintro rfl x; rfl, ext⟩
 #align lie_hom.ext_iff LieHom.ext_iff
 
 /- warning: lie_hom.congr_fun -> LieHom.congr_fun is a dubious translation:
@@ -618,10 +600,7 @@ theorem congr_fun {f g : L₁ →ₗ⁅R⁆ L₂} (h : f = g) (x : L₁) : f x =
 <too large>
 Case conversion may be inaccurate. Consider using '#align lie_hom.mk_coe LieHom.mk_coeₓ'. -/
 @[simp]
-theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) = f :=
-  by
-  ext
-  rfl
+theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) = f := by ext; rfl
 #align lie_hom.mk_coe LieHom.mk_coe
 
 /- warning: lie_hom.coe_mk -> LieHom.coe_mk is a dubious translation:
@@ -636,9 +615,7 @@ theorem coe_mk (f : L₁ → L₂) (h₁ h₂ h₃) : ((⟨⟨f, h₁, h₂⟩,
 /-- The composition of morphisms is a morphism. -/
 def comp (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) : L₁ →ₗ⁅R⁆ L₃ :=
   { LinearMap.comp f.toLinearMap g.toLinearMap with
-    map_lie' := fun x y => by
-      change f (g ⁅x, y⁆) = ⁅f (g x), f (g y)⁆
-      rw [map_lie, map_lie] }
+    map_lie' := fun x y => by change f (g ⁅x, y⁆) = ⁅f (g x), f (g y)⁆; rw [map_lie, map_lie] }
 #align lie_hom.comp LieHom.comp
 -/
 
@@ -670,19 +647,13 @@ theorem coe_linearMap_comp (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆
 
 #print LieHom.comp_id /-
 @[simp]
-theorem comp_id (f : L₁ →ₗ⁅R⁆ L₂) : f.comp (id : L₁ →ₗ⁅R⁆ L₁) = f :=
-  by
-  ext
-  rfl
+theorem comp_id (f : L₁ →ₗ⁅R⁆ L₂) : f.comp (id : L₁ →ₗ⁅R⁆ L₁) = f := by ext; rfl
 #align lie_hom.comp_id LieHom.comp_id
 -/
 
 #print LieHom.id_comp /-
 @[simp]
-theorem id_comp (f : L₁ →ₗ⁅R⁆ L₂) : (id : L₂ →ₗ⁅R⁆ L₂).comp f = f :=
-  by
-  ext
-  rfl
+theorem id_comp (f : L₁ →ₗ⁅R⁆ L₂) : (id : L₂ →ₗ⁅R⁆ L₂).comp f = f := by ext; rfl
 #align lie_hom.id_comp LieHom.id_comp
 -/
 
@@ -911,10 +882,7 @@ def symm (e : L₁ ≃ₗ⁅R⁆ L₂) : L₂ ≃ₗ⁅R⁆ L₁ :=
 
 #print LieEquiv.symm_symm /-
 @[simp]
-theorem symm_symm (e : L₁ ≃ₗ⁅R⁆ L₂) : e.symm.symm = e :=
-  by
-  ext
-  rfl
+theorem symm_symm (e : L₁ ≃ₗ⁅R⁆ L₂) : e.symm.symm = e := by ext; rfl
 #align lie_equiv.symm_symm LieEquiv.symm_symm
 -/
 
@@ -1194,10 +1162,8 @@ instance : Inhabited (M →ₗ⁅R,L⁆ N) :=
 /- warning: lie_module_hom.coe_injective -> LieModuleHom.coe_injective is a dubious translation:
 <too large>
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_injective LieModuleHom.coe_injectiveₓ'. -/
-theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeFn :=
-  by
-  rintro ⟨⟨f, _⟩⟩ ⟨⟨g, _⟩⟩ ⟨h⟩
-  congr
+theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeFn := by
+  rintro ⟨⟨f, _⟩⟩ ⟨⟨g, _⟩⟩ ⟨h⟩; congr
 #align lie_module_hom.coe_injective LieModuleHom.coe_injective
 
 /- warning: lie_module_hom.ext -> LieModuleHom.ext is a dubious translation:
@@ -1212,9 +1178,7 @@ theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
 <too large>
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.ext_iff LieModuleHom.ext_iffₓ'. -/
 theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
-  ⟨by
-    rintro rfl m
-    rfl, ext⟩
+  ⟨by rintro rfl m; rfl, ext⟩
 #align lie_module_hom.ext_iff LieModuleHom.ext_iff
 
 /- warning: lie_module_hom.congr_fun -> LieModuleHom.congr_fun is a dubious translation:
@@ -1228,30 +1192,21 @@ theorem congr_fun {f g : M →ₗ⁅R,L⁆ N} (h : f = g) (x : M) : f x = g x :=
 <too large>
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.mk_coe LieModuleHom.mk_coeₓ'. -/
 @[simp]
-theorem mk_coe (f : M →ₗ⁅R,L⁆ N) (h) : (⟨f, h⟩ : M →ₗ⁅R,L⁆ N) = f :=
-  by
-  ext
-  rfl
+theorem mk_coe (f : M →ₗ⁅R,L⁆ N) (h) : (⟨f, h⟩ : M →ₗ⁅R,L⁆ N) = f := by ext; rfl
 #align lie_module_hom.mk_coe LieModuleHom.mk_coe
 
 /- warning: lie_module_hom.coe_mk -> LieModuleHom.coe_mk is a dubious translation:
 <too large>
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_mk LieModuleHom.coe_mkₓ'. -/
 @[simp]
-theorem coe_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M → N) = f :=
-  by
-  ext
-  rfl
+theorem coe_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M → N) = f := by ext; rfl
 #align lie_module_hom.coe_mk LieModuleHom.coe_mk
 
 /- warning: lie_module_hom.coe_linear_mk -> LieModuleHom.coe_linear_mk is a dubious translation:
 <too large>
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_linear_mk LieModuleHom.coe_linear_mkₓ'. -/
 @[norm_cast, simp]
-theorem coe_linear_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M →ₗ[R] N) = f :=
-  by
-  ext
-  rfl
+theorem coe_linear_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M →ₗ[R] N) = f := by ext; rfl
 #align lie_module_hom.coe_linear_mk LieModuleHom.coe_linear_mk
 
 /- warning: lie_module_hom.comp -> LieModuleHom.comp is a dubious translation:
@@ -1260,9 +1215,7 @@ Case conversion may be inaccurate. Consider using '#align lie_module_hom.comp Li
 /-- The composition of Lie module morphisms is a morphism. -/
 def comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : M →ₗ⁅R,L⁆ P :=
   { LinearMap.comp f.toLinearMap g.toLinearMap with
-    map_lie' := fun x m => by
-      change f (g ⁅x, m⁆) = ⁅x, f (g m)⁆
-      rw [map_lie, map_lie] }
+    map_lie' := fun x m => by change f (g ⁅x, m⁆) = ⁅x, f (g m)⁆; rw [map_lie, map_lie] }
 #align lie_module_hom.comp LieModuleHom.comp
 
 /- warning: lie_module_hom.comp_apply -> LieModuleHom.comp_apply is a dubious translation:
@@ -1611,11 +1564,8 @@ theorem symm_apply_apply (e : M ≃ₗ⁅R,L⁆ N) : ∀ x, e.symm (e x) = x :=
 <too large>
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm_symm LieModuleEquiv.symm_symmₓ'. -/
 @[simp]
-theorem symm_symm (e : M ≃ₗ⁅R,L⁆ N) : e.symm.symm = e :=
-  by
-  ext
-  apply_fun e.symm using e.symm.injective
-  simp
+theorem symm_symm (e : M ≃ₗ⁅R,L⁆ N) : e.symm.symm = e := by ext;
+  apply_fun e.symm using e.symm.injective; simp
 #align lie_module_equiv.symm_symm LieModuleEquiv.symm_symm
 
 /- warning: lie_module_equiv.trans -> LieModuleEquiv.trans is a dubious translation:

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

@@ -350,10 +350,7 @@ instance : LieRingModule L (M →ₗ[R] N)
     abel
 
 /- warning: lie_hom.lie_apply -> LieHom.lie_apply is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_6 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_7 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6] [_inst_8 : AddCommGroup.{u4} N] [_inst_9 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8)] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_8] [_inst_11 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_8 _inst_9 _inst_10] (f : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R 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 Case conversion may be inaccurate. Consider using '#align lie_hom.lie_apply LieHom.lie_applyₓ'. -/
 @[simp]
 theorem LieHom.lie_apply (f : M →ₗ[R] N) (x : L) (m : M) : ⁅x, f⁆ m = ⁅x, f m⁆ - f ⁅x, m⁆ :=
@@ -412,10 +409,7 @@ def Simps.apply (h : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂ :=
 initialize_simps_projections LieHom (to_linear_map_to_fun → apply)
 
 /- warning: lie_hom.coe_to_linear_map -> LieHom.coe_toLinearMap is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_to_linear_map LieHom.coe_toLinearMapₓ'. -/
 @[simp, norm_cast]
 theorem coe_toLinearMap (f : L₁ →ₗ⁅R⁆ L₂) : ((f : L₁ →ₗ[R] L₂) : L₁ → L₂) = f :=
@@ -434,10 +428,7 @@ theorem toFun_eq_coe (f : L₁ →ₗ⁅R⁆ L₂) : f.toFun = ⇑f :=
 #align lie_hom.to_fun_eq_coe LieHom.toFun_eq_coe
 
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 Case conversion may be inaccurate. Consider using '#align lie_hom.map_smul LieHom.map_smulₓ'. -/
 @[simp]
 theorem map_smul (f : L₁ →ₗ⁅R⁆ L₂) (c : R) (x : L₁) : f (c • x) = c • f x :=
@@ -624,10 +615,7 @@ theorem congr_fun {f g : L₁ →ₗ⁅R⁆ L₂} (h : f = g) (x : L₁) : f x =
 #align lie_hom.congr_fun LieHom.congr_fun
 
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(CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R 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+<too large>
 Case conversion may be inaccurate. Consider using '#align lie_hom.mk_coe LieHom.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) = f :=
@@ -637,10 +625,7 @@ theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁,
 #align lie_hom.mk_coe LieHom.mk_coe
 
 /- warning: lie_hom.coe_mk -> LieHom.coe_mk is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_mk LieHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : L₁ → L₂) (h₁ h₂ h₃) : ((⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = f :=
@@ -658,10 +643,7 @@ def comp (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) : L₁ →
 -/
 
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 Case conversion may be inaccurate. Consider using '#align lie_hom.comp_apply LieHom.comp_applyₓ'. -/
 theorem comp_apply (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) (x : L₁) : f.comp g x = f (g x) :=
   rfl
@@ -751,10 +733,7 @@ def LieRingModule.compLieHom : LieRingModule L₁ M
 -/
 
 /- warning: lie_ring_module.comp_lie_hom_apply -> LieRingModule.compLieHom_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_ring_module.comp_lie_hom_apply LieRingModule.compLieHom_applyₓ'. -/
 theorem LieRingModule.compLieHom_apply (x : L₁) (m : M) :
     haveI := LieRingModule.compLieHom M f
@@ -837,10 +816,7 @@ theorem coe_to_lieHom (e : L₁ ≃ₗ⁅R⁆ L₂) : ((e : L₁ →ₗ⁅R⁆ L
 #align lie_equiv.coe_to_lie_hom LieEquiv.coe_to_lieHom
 
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 Case conversion may be inaccurate. Consider using '#align lie_equiv.coe_to_linear_equiv LieEquiv.coe_to_linearEquivₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearEquiv (e : L₁ ≃ₗ⁅R⁆ L₂) : ((e : L₁ ≃ₗ[R] L₂) : L₁ → L₂) = e :=
@@ -848,10 +824,7 @@ theorem coe_to_linearEquiv (e : L₁ ≃ₗ⁅R⁆ L₂) : ((e : L₁ ≃ₗ[R]
 #align lie_equiv.coe_to_linear_equiv LieEquiv.coe_to_linearEquiv
 
 /- warning: lie_equiv.to_linear_equiv_mk -> LieEquiv.to_linearEquiv_mk is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align lie_equiv.to_linear_equiv_mk LieEquiv.to_linearEquiv_mkₓ'. -/
 @[simp]
 theorem to_linearEquiv_mk (f : L₁ →ₗ⁅R⁆ L₂) (g h₁ h₂) :
@@ -997,10 +970,7 @@ theorem symm_trans_self (e : L₁ ≃ₗ⁅R⁆ L₂) : e.symm.trans e = refl :=
 -/
 
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 Case conversion may be inaccurate. Consider using '#align lie_equiv.trans_apply LieEquiv.trans_applyₓ'. -/
 @[simp]
 theorem trans_apply (e₁ : L₁ ≃ₗ⁅R⁆ L₂) (e₂ : L₂ ≃ₗ⁅R⁆ L₃) (x : L₁) : (e₁.trans e₂) x = e₂ (e₁ x) :=
@@ -1107,10 +1077,7 @@ instance : CoeFun (M →ₗ⁅R,L⁆ N) fun _ => M → N :=
   ⟨fun f => f.toLinearMap.toFun⟩
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_to_linear_map LieModuleHom.coe_to_linearMapₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
@@ -1118,10 +1085,7 @@ theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M 
 #align lie_module_hom.coe_to_linear_map LieModuleHom.coe_to_linearMap
 
 /- warning: lie_module_hom.map_smul -> LieModuleHom.map_smul is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_smul LieModuleHom.map_smulₓ'. -/
 @[simp]
 theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c • f x :=
@@ -1129,10 +1093,7 @@ theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c •
 #align lie_module_hom.map_smul LieModuleHom.map_smul
 
 /- warning: lie_module_hom.map_add -> LieModuleHom.map_add is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_add LieModuleHom.map_addₓ'. -/
 @[simp]
 theorem map_add (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x + y) = f x + f y :=
@@ -1140,10 +1101,7 @@ theorem map_add (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x + y) = f x + f y :=
 #align lie_module_hom.map_add LieModuleHom.map_add
 
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 @[simp]
 theorem map_sub (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x - y) = f x - f y :=
@@ -1151,10 +1109,7 @@ theorem map_sub (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x - y) = f x - f y :=
 #align lie_module_hom.map_sub LieModuleHom.map_sub
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_neg LieModuleHom.map_negₓ'. -/
 @[simp]
 theorem map_neg (f : M →ₗ⁅R,L⁆ N) (x : M) : f (-x) = -f x :=
@@ -1162,10 +1117,7 @@ theorem map_neg (f : M →ₗ⁅R,L⁆ N) (x : M) : f (-x) = -f x :=
 #align lie_module_hom.map_neg LieModuleHom.map_neg
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_lie LieModuleHom.map_lieₓ'. -/
 @[simp]
 theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x, f m⁆ :=
@@ -1173,20 +1125,14 @@ theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x,
 #align lie_module_hom.map_lie LieModuleHom.map_lie
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_lie₂ LieModuleHom.map_lie₂ₓ'. -/
 theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N) :
     ⁅x, f m n⁆ = f ⁅x, m⁆ n + f m ⁅x, n⁆ := by simp only [sub_add_cancel, map_lie, LieHom.lie_apply]
 #align lie_module_hom.map_lie₂ LieModuleHom.map_lie₂
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_zero LieModuleHom.map_zeroₓ'. -/
 @[simp]
 theorem map_zero (f : M →ₗ⁅R,L⁆ N) : f 0 = 0 :=
@@ -1205,10 +1151,7 @@ def id : M →ₗ⁅R,L⁆ M :=
 #align lie_module_hom.id LieModuleHom.id
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_id LieModuleHom.coe_idₓ'. -/
 @[simp]
 theorem coe_id : ((id : M →ₗ⁅R,L⁆ M) : M → M) = id :=
@@ -1216,10 +1159,7 @@ theorem coe_id : ((id : M →ₗ⁅R,L⁆ M) : M → M) = id :=
 #align lie_module_hom.coe_id LieModuleHom.coe_id
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.id_apply LieModuleHom.id_applyₓ'. -/
 theorem id_apply (x : M) : (id : M →ₗ⁅R,L⁆ M) x = x :=
   rfl
@@ -1230,10 +1170,7 @@ instance : Zero (M →ₗ⁅R,L⁆ N) :=
   ⟨{ (0 : M →ₗ[R] N) with map_lie' := by simp }⟩
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_zero LieModuleHom.coe_zeroₓ'. -/
 @[norm_cast, simp]
 theorem coe_zero : ((0 : M →ₗ⁅R,L⁆ N) : M → N) = 0 :=
@@ -1241,10 +1178,7 @@ theorem coe_zero : ((0 : M →ₗ⁅R,L⁆ N) : M → N) = 0 :=
 #align lie_module_hom.coe_zero LieModuleHom.coe_zero
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.zero_apply LieModuleHom.zero_applyₓ'. -/
 theorem zero_apply (m : M) : (0 : M →ₗ⁅R,L⁆ N) m = 0 :=
   rfl
@@ -1258,10 +1192,7 @@ instance : Inhabited (M →ₗ⁅R,L⁆ N) :=
   ⟨0⟩
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_injective LieModuleHom.coe_injectiveₓ'. -/
 theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeFn :=
   by
@@ -1270,10 +1201,7 @@ theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeF
 #align lie_module_hom.coe_injective LieModuleHom.coe_injective
 
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 @[ext]
 theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
@@ -1281,10 +1209,7 @@ theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
 #align lie_module_hom.ext LieModuleHom.ext
 
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 theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
   ⟨by
@@ -1293,20 +1218,14 @@ theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
 #align lie_module_hom.ext_iff LieModuleHom.ext_iff
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.congr_fun LieModuleHom.congr_funₓ'. -/
 theorem congr_fun {f g : M →ₗ⁅R,L⁆ N} (h : f = g) (x : M) : f x = g x :=
   h ▸ rfl
 #align lie_module_hom.congr_fun LieModuleHom.congr_fun
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.mk_coe LieModuleHom.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (f : M →ₗ⁅R,L⁆ N) (h) : (⟨f, h⟩ : M →ₗ⁅R,L⁆ N) = f :=
@@ -1316,10 +1235,7 @@ theorem mk_coe (f : M →ₗ⁅R,L⁆ N) (h) : (⟨f, h⟩ : M →ₗ⁅R,L⁆ N
 #align lie_module_hom.mk_coe LieModuleHom.mk_coe
 
 /- warning: lie_module_hom.coe_mk -> LieModuleHom.coe_mk is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_mk LieModuleHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M → N) = f :=
@@ -1329,10 +1245,7 @@ theorem coe_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M
 #align lie_module_hom.coe_mk LieModuleHom.coe_mk
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_linear_mk LieModuleHom.coe_linear_mkₓ'. -/
 @[norm_cast, simp]
 theorem coe_linear_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M →ₗ[R] N) = f :=
@@ -1342,10 +1255,7 @@ theorem coe_linear_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆
 #align lie_module_hom.coe_linear_mk LieModuleHom.coe_linear_mk
 
 /- warning: lie_module_hom.comp -> LieModuleHom.comp is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.comp LieModuleHom.compₓ'. -/
 /-- The composition of Lie module morphisms is a morphism. -/
 def comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : M →ₗ⁅R,L⁆ P :=
@@ -1356,20 +1266,14 @@ def comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : M →ₗ⁅R,L⁆
 #align lie_module_hom.comp LieModuleHom.comp
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.comp_apply LieModuleHom.comp_applyₓ'. -/
 theorem comp_apply (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) (m : M) : f.comp g m = f (g m) :=
   rfl
 #align lie_module_hom.comp_apply LieModuleHom.comp_apply
 
 /- warning: lie_module_hom.coe_comp -> LieModuleHom.coe_comp is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_comp LieModuleHom.coe_compₓ'. -/
 @[norm_cast, simp]
 theorem coe_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : (f.comp g : M → P) = f ∘ g :=
@@ -1377,10 +1281,7 @@ theorem coe_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : (f.comp g
 #align lie_module_hom.coe_comp LieModuleHom.coe_comp
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_linear_map_comp LieModuleHom.coe_linearMap_compₓ'. -/
 @[norm_cast, simp]
 theorem coe_linearMap_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) :
@@ -1389,10 +1290,7 @@ theorem coe_linearMap_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) :
 #align lie_module_hom.coe_linear_map_comp LieModuleHom.coe_linearMap_comp
 
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 /-- The inverse of a bijective morphism of Lie modules is a morphism of Lie modules. -/
 def inverse (f : M →ₗ⁅R,L⁆ N) (g : N → M) (h₁ : Function.LeftInverse g f)
@@ -1415,10 +1313,7 @@ instance : Sub (M →ₗ⁅R,L⁆ N)
 instance : Neg (M →ₗ⁅R,L⁆ N) where neg f := { -(f : M →ₗ[R] N) with map_lie' := by simp }
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_add LieModuleHom.coe_addₓ'. -/
 @[norm_cast, simp]
 theorem coe_add (f g : M →ₗ⁅R,L⁆ N) : ⇑(f + g) = f + g :=
@@ -1426,20 +1321,14 @@ theorem coe_add (f g : M →ₗ⁅R,L⁆ N) : ⇑(f + g) = f + g :=
 #align lie_module_hom.coe_add LieModuleHom.coe_add
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.add_apply LieModuleHom.add_applyₓ'. -/
 theorem add_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f + g) m = f m + g m :=
   rfl
 #align lie_module_hom.add_apply LieModuleHom.add_apply
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_sub LieModuleHom.coe_subₓ'. -/
 @[norm_cast, simp]
 theorem coe_sub (f g : M →ₗ⁅R,L⁆ N) : ⇑(f - g) = f - g :=
@@ -1447,20 +1336,14 @@ theorem coe_sub (f g : M →ₗ⁅R,L⁆ N) : ⇑(f - g) = f - g :=
 #align lie_module_hom.coe_sub LieModuleHom.coe_sub
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.sub_apply LieModuleHom.sub_applyₓ'. -/
 theorem sub_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f - g) m = f m - g m :=
   rfl
 #align lie_module_hom.sub_apply LieModuleHom.sub_apply
 
 /- warning: lie_module_hom.coe_neg -> LieModuleHom.coe_neg is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_neg LieModuleHom.coe_negₓ'. -/
 @[norm_cast, simp]
 theorem coe_neg (f : M →ₗ⁅R,L⁆ N) : ⇑(-f) = -f :=
@@ -1468,30 +1351,21 @@ theorem coe_neg (f : M →ₗ⁅R,L⁆ N) : ⇑(-f) = -f :=
 #align lie_module_hom.coe_neg LieModuleHom.coe_neg
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.neg_apply LieModuleHom.neg_applyₓ'. -/
 theorem neg_apply (f : M →ₗ⁅R,L⁆ N) (m : M) : (-f) m = -f m :=
   rfl
 #align lie_module_hom.neg_apply LieModuleHom.neg_apply
 
 /- warning: lie_module_hom.has_nsmul -> LieModuleHom.hasNsmul is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.has_nsmul LieModuleHom.hasNsmulₓ'. -/
 instance hasNsmul : SMul ℕ (M →ₗ⁅R,L⁆ N)
     where smul n f := { n • (f : M →ₗ[R] N) with map_lie' := fun x m => by simp }
 #align lie_module_hom.has_nsmul LieModuleHom.hasNsmul
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_nsmul LieModuleHom.coe_nsmulₓ'. -/
 @[norm_cast, simp]
 theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • f :=
@@ -1499,30 +1373,21 @@ theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • f :
 #align lie_module_hom.coe_nsmul LieModuleHom.coe_nsmul
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.nsmul_apply LieModuleHom.nsmul_applyₓ'. -/
 theorem nsmul_apply (n : ℕ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (n • f) m = n • f m :=
   rfl
 #align lie_module_hom.nsmul_apply LieModuleHom.nsmul_apply
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.has_zsmul LieModuleHom.hasZsmulₓ'. -/
 instance hasZsmul : SMul ℤ (M →ₗ⁅R,L⁆ N)
     where smul z f := { z • (f : M →ₗ[R] N) with map_lie' := fun x m => by simp }
 #align lie_module_hom.has_zsmul LieModuleHom.hasZsmul
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_zsmul LieModuleHom.coe_zsmulₓ'. -/
 @[norm_cast, simp]
 theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • f :=
@@ -1530,10 +1395,7 @@ theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • f :
 #align lie_module_hom.coe_zsmul LieModuleHom.coe_zsmul
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.zsmul_apply LieModuleHom.zsmul_applyₓ'. -/
 theorem zsmul_apply (z : ℤ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (z • f) m = z • f m :=
   rfl
@@ -1546,10 +1408,7 @@ instance : AddCommGroup (M →ₗ⁅R,L⁆ N) :=
 instance : SMul R (M →ₗ⁅R,L⁆ N) where smul t f := { t • (f : M →ₗ[R] N) with map_lie' := by simp }
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_smul LieModuleHom.coe_smulₓ'. -/
 @[norm_cast, simp]
 theorem coe_smul (t : R) (f : M →ₗ⁅R,L⁆ N) : ⇑(t • f) = t • f :=
@@ -1557,10 +1416,7 @@ theorem coe_smul (t : R) (f : M →ₗ⁅R,L⁆ N) : ⇑(t • f) = t • f :=
 #align lie_module_hom.coe_smul LieModuleHom.coe_smul
 
 /- warning: lie_module_hom.smul_apply -> LieModuleHom.smul_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.smul_apply LieModuleHom.smul_applyₓ'. -/
 theorem smul_apply (t : R) (f : M →ₗ⁅R,L⁆ N) (m : M) : (t • f) m = t • f m :=
   rfl
@@ -1595,10 +1451,7 @@ namespace LieModuleEquiv
 variable {R L M N P}
 
 /- warning: lie_module_equiv.to_linear_equiv -> LieModuleEquiv.toLinearEquiv is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.to_linear_equiv LieModuleEquiv.toLinearEquivₓ'. -/
 /-- View an equivalence of Lie modules as a linear equivalence. -/
 def toLinearEquiv (e : M ≃ₗ⁅R,L⁆ N) : M ≃ₗ[R] N :=
@@ -1606,10 +1459,7 @@ def toLinearEquiv (e : M ≃ₗ⁅R,L⁆ N) : M ≃ₗ[R] N :=
 #align lie_module_equiv.to_linear_equiv LieModuleEquiv.toLinearEquiv
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.to_equiv LieModuleEquiv.toEquivₓ'. -/
 /-- View an equivalence of Lie modules as a type level equivalence. -/
 def toEquiv (e : M ≃ₗ⁅R,L⁆ N) : M ≃ N :=
@@ -1617,30 +1467,21 @@ def toEquiv (e : M ≃ₗ⁅R,L⁆ N) : M ≃ N :=
 #align lie_module_equiv.to_equiv LieModuleEquiv.toEquiv
 
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 instance hasCoeToEquiv : Coe (M ≃ₗ⁅R,L⁆ N) (M ≃ N) :=
   ⟨toEquiv⟩
 #align lie_module_equiv.has_coe_to_equiv LieModuleEquiv.hasCoeToEquiv
 
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 instance hasCoeToLieModuleHom : Coe (M ≃ₗ⁅R,L⁆ N) (M →ₗ⁅R,L⁆ N) :=
   ⟨toLieModuleHom⟩
 #align lie_module_equiv.has_coe_to_lie_module_hom LieModuleEquiv.hasCoeToLieModuleHom
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.has_coe_to_linear_equiv LieModuleEquiv.hasCoeToLinearEquivₓ'. -/
 instance hasCoeToLinearEquiv : Coe (M ≃ₗ⁅R,L⁆ N) (M ≃ₗ[R] N) :=
   ⟨toLinearEquiv⟩
@@ -1651,20 +1492,14 @@ instance : CoeFun (M ≃ₗ⁅R,L⁆ N) fun _ => M → N :=
   ⟨fun e => e.toLieModuleHom.toFun⟩
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.injective LieModuleEquiv.injectiveₓ'. -/
 theorem injective (e : M ≃ₗ⁅R,L⁆ N) : Function.Injective e :=
   e.toEquiv.Injective
 #align lie_module_equiv.injective LieModuleEquiv.injective
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_mk LieModuleEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ⁅R,L⁆ N) (inv_fun h₁ h₂) :
@@ -1673,10 +1508,7 @@ theorem coe_mk (f : M →ₗ⁅R,L⁆ N) (inv_fun h₁ h₂) :
 #align lie_module_equiv.coe_mk LieModuleEquiv.coe_mk
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_to_lie_module_hom LieModuleEquiv.coe_to_lieModuleHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_lieModuleHom (e : M ≃ₗ⁅R,L⁆ N) : ((e : M →ₗ⁅R,L⁆ N) : M → N) = e :=
@@ -1684,10 +1516,7 @@ theorem coe_to_lieModuleHom (e : M ≃ₗ⁅R,L⁆ N) : ((e : M →ₗ⁅R,L⁆
 #align lie_module_equiv.coe_to_lie_module_hom LieModuleEquiv.coe_to_lieModuleHom
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_to_linear_equiv LieModuleEquiv.coe_to_linearEquivₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearEquiv (e : M ≃ₗ⁅R,L⁆ N) : ((e : M ≃ₗ[R] N) : M → N) = e :=
@@ -1695,10 +1524,7 @@ theorem coe_to_linearEquiv (e : M ≃ₗ⁅R,L⁆ N) : ((e : M ≃ₗ[R] N) : M
 #align lie_module_equiv.coe_to_linear_equiv LieModuleEquiv.coe_to_linearEquiv
 
 /- warning: lie_module_equiv.to_equiv_injective -> LieModuleEquiv.toEquiv_injective is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.to_equiv_injective LieModuleEquiv.toEquiv_injectiveₓ'. -/
 theorem toEquiv_injective : Function.Injective (toEquiv : (M ≃ₗ⁅R,L⁆ N) → M ≃ N) := fun e₁ e₂ h =>
   by
@@ -1714,10 +1540,7 @@ theorem toEquiv_injective : Function.Injective (toEquiv : (M ≃ₗ⁅R,L⁆ N)
 #align lie_module_equiv.to_equiv_injective LieModuleEquiv.toEquiv_injective
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.ext LieModuleEquiv.extₓ'. -/
 @[ext]
 theorem ext (e₁ e₂ : M ≃ₗ⁅R,L⁆ N) (h : ∀ m, e₁ m = e₂ m) : e₁ = e₂ :=
@@ -1728,10 +1551,7 @@ instance : One (M ≃ₗ⁅R,L⁆ M) :=
   ⟨{ (1 : M ≃ₗ[R] M) with map_lie' := fun x m => rfl }⟩
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.one_apply LieModuleEquiv.one_applyₓ'. -/
 @[simp]
 theorem one_apply (m : M) : (1 : M ≃ₗ⁅R,L⁆ M) m = m :=
@@ -1754,10 +1574,7 @@ def refl : M ≃ₗ⁅R,L⁆ M :=
 #align lie_module_equiv.refl LieModuleEquiv.refl
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.refl_apply LieModuleEquiv.refl_applyₓ'. -/
 @[simp]
 theorem refl_apply (m : M) : (refl : M ≃ₗ⁅R,L⁆ M) m = m :=
@@ -1765,10 +1582,7 @@ theorem refl_apply (m : M) : (refl : M ≃ₗ⁅R,L⁆ M) m = m :=
 #align lie_module_equiv.refl_apply LieModuleEquiv.refl_apply
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm LieModuleEquiv.symmₓ'. -/
 /-- Lie module equivalences are syemmtric. -/
 @[symm]
@@ -1778,10 +1592,7 @@ def symm (e : M ≃ₗ⁅R,L⁆ N) : N ≃ₗ⁅R,L⁆ M :=
 #align lie_module_equiv.symm LieModuleEquiv.symm
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.apply_symm_apply LieModuleEquiv.apply_symm_applyₓ'. -/
 @[simp]
 theorem apply_symm_apply (e : M ≃ₗ⁅R,L⁆ N) : ∀ x, e (e.symm x) = x :=
@@ -1789,10 +1600,7 @@ theorem apply_symm_apply (e : M ≃ₗ⁅R,L⁆ N) : ∀ x, e (e.symm x) = x :=
 #align lie_module_equiv.apply_symm_apply LieModuleEquiv.apply_symm_apply
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm_apply_apply LieModuleEquiv.symm_apply_applyₓ'. -/
 @[simp]
 theorem symm_apply_apply (e : M ≃ₗ⁅R,L⁆ N) : ∀ x, e.symm (e x) = x :=
@@ -1800,10 +1608,7 @@ theorem symm_apply_apply (e : M ≃ₗ⁅R,L⁆ N) : ∀ x, e.symm (e x) = x :=
 #align lie_module_equiv.symm_apply_apply LieModuleEquiv.symm_apply_apply
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm_symm LieModuleEquiv.symm_symmₓ'. -/
 @[simp]
 theorem symm_symm (e : M ≃ₗ⁅R,L⁆ N) : e.symm.symm = e :=
@@ -1814,10 +1619,7 @@ theorem symm_symm (e : M ≃ₗ⁅R,L⁆ N) : e.symm.symm = e :=
 #align lie_module_equiv.symm_symm LieModuleEquiv.symm_symm
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.trans LieModuleEquiv.transₓ'. -/
 /-- Lie module equivalences are transitive. -/
 @[trans]
@@ -1827,10 +1629,7 @@ def trans (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) : M ≃ₗ
 #align lie_module_equiv.trans LieModuleEquiv.trans
 
 /- warning: lie_module_equiv.trans_apply -> LieModuleEquiv.trans_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.trans_apply LieModuleEquiv.trans_applyₓ'. -/
 @[simp]
 theorem trans_apply (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) (m : M) : (e₁.trans e₂) m = e₂ (e₁ m) :=
@@ -1838,10 +1637,7 @@ theorem trans_apply (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) (m
 #align lie_module_equiv.trans_apply LieModuleEquiv.trans_apply
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm_trans LieModuleEquiv.symm_transₓ'. -/
 @[simp]
 theorem symm_trans (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) :
@@ -1850,10 +1646,7 @@ theorem symm_trans (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) :
 #align lie_module_equiv.symm_trans LieModuleEquiv.symm_trans
 
 /- warning: lie_module_equiv.self_trans_symm -> LieModuleEquiv.self_trans_symm is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.self_trans_symm LieModuleEquiv.self_trans_symmₓ'. -/
 @[simp]
 theorem self_trans_symm (e : M ≃ₗ⁅R,L⁆ N) : e.trans e.symm = refl :=
@@ -1861,10 +1654,7 @@ theorem self_trans_symm (e : M ≃ₗ⁅R,L⁆ N) : e.trans e.symm = refl :=
 #align lie_module_equiv.self_trans_symm LieModuleEquiv.self_trans_symm
 
 /- warning: lie_module_equiv.symm_trans_self -> LieModuleEquiv.symm_trans_self is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm_trans_self LieModuleEquiv.symm_trans_selfₓ'. -/
 @[simp]
 theorem symm_trans_self (e : M ≃ₗ⁅R,L⁆ N) : e.symm.trans e = refl :=

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

@@ -353,7 +353,7 @@ instance : LieRingModule L (M →ₗ[R] N)
 lean 3 declaration is
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(CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (x : L) (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Bracket.bracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (LieRingModule.toBracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) _inst_2 (LinearMap.addCommGroup.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)) x f) m) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) _inst_8)))) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) _inst_2 _inst_8 _inst_10) x (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) f m)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_6 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_7 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6] [_inst_8 : AddCommGroup.{u4} N] [_inst_9 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8)] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_8] [_inst_11 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_8 _inst_9 _inst_10] (f : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (x : L) (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Bracket.bracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (LieRingModule.toBracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) _inst_2 (LinearMap.addCommGroup.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)) x f) m) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => N) m) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => N) m) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => N) m) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => N) m) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => N) m) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => N) m) _inst_8)))) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => N) m) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => N) m) _inst_2 _inst_8 _inst_10) x (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) f m)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)))
 Case conversion may be inaccurate. Consider using '#align lie_hom.lie_apply LieHom.lie_applyₓ'. -/
 @[simp]
 theorem LieHom.lie_apply (f : M →ₗ[R] N) (x : L) (m : M) : ⁅x, f⁆ m = ⁅x, f m⁆ - f ⁅x, m⁆ :=
@@ -415,7 +415,7 @@ initialize_simps_projections LieHom (to_linear_map_to_fun → apply)
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} ((fun (_x : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) => L₁ -> L₂) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.LinearMap.hasCoe.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R 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L₂ _inst_1 _inst_4 _inst_5)) => L₁ -> L₂) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R L₁ L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.LinearMap.hasCoe.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : L₁) => L₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R L₁ L₂ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : L₁) => L₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R L₁ L₂ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_to_linear_map LieHom.coe_toLinearMapₓ'. -/
 @[simp, norm_cast]
 theorem coe_toLinearMap (f : L₁ →ₗ⁅R⁆ L₂) : ((f : L₁ →ₗ[R] L₂) : L₁ → L₂) = f :=
@@ -840,7 +840,7 @@ theorem coe_to_lieHom (e : L₁ ≃ₗ⁅R⁆ L₂) : ((e : L₁ →ₗ⁅R⁆ L
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Eq.{max (succ u2) (succ u3)} ((fun (_x : LinearEquiv.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ 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 but is expected to have type
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(CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) R L₁ L₂ (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))) (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3))) (Module.toDistribMulAction.{u1, u2} R L₁ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5)) (Module.toDistribMulAction.{u1, u3} R L₂ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u3, max u2 u3} R L₁ L₂ (LinearEquiv.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u3, max u2 u3} R R L₁ L₂ (LinearEquiv.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ 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L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))))))) (LieEquiv.toLinearEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 e)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : L₁) => L₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (LieEquiv.instEquivLikeLieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6))) e)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearEquiv.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : L₁) => L₂) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) R L₁ L₂ (SMulZeroClass.toSMul.{u1, u2} R L₁ (AddMonoid.toZero.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} R L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))) (DistribMulAction.toDistribSMul.{u1, u2} R L₁ (MonoidWithZero.toMonoid.{u1} R 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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u3} R R L₁ L₂ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))))))) (LieEquiv.toLinearEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 e)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : L₁) => L₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (LieEquiv.instEquivLikeLieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6))) e)
 Case conversion may be inaccurate. Consider using '#align lie_equiv.coe_to_linear_equiv LieEquiv.coe_to_linearEquivₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearEquiv (e : L₁ ≃ₗ⁅R⁆ L₂) : ((e : L₁ ≃ₗ[R] L₂) : L₁ → L₂) = e :=
@@ -1110,7 +1110,7 @@ instance : CoeFun (M →ₗ⁅R,L⁆ N) fun _ => M → N :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u4)} ((fun (_x : 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_inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_to_linear_map LieModuleHom.coe_to_linearMapₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
@@ -1176,7 +1176,7 @@ theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x,
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (x : L) (m : M) (n : N), Eq.{succ u5} P (Bracket.bracket.{u2, u5} L P (LieRingModule.toHasBracket.{u2, u5} L P _inst_2 _inst_6 _inst_12) x (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) => N -> P) (LinearMap.hasCoeToFun.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (coeFn.{max (succ u3) (succ (max u4 u5)), max (succ u3) (succ (max u4 u5))} (LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (fun (_x : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) => M -> (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} 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R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (fun (_x : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R 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_inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) => M -> (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9)) (LieModuleHom.hasCoeToFun.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) f m) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x n)))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_14 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (_inst_15 : LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) (f : L) (x : M) (m : N), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) m) (Bracket.bracket.{u2, u5} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) m) (LieRingModule.toBracket.{u2, u5} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) m) _inst_2 _inst_6 _inst_12) f (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) x) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u5), succ u3, max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P 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(instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 x) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) f m)))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_14 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (_inst_15 : LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P 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(CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) x) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u5), succ u3, max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 x) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) f m)))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_lie₂ LieModuleHom.map_lie₂ₓ'. -/
 theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N) :
     ⁅x, f m n⁆ = f ⁅x, m⁆ n + f m ⁅x, n⁆ := by simp only [sub_add_cancel, map_lie, LieHom.lie_apply]
@@ -1319,7 +1319,7 @@ theorem mk_coe (f : M →ₗ⁅R,L⁆ N) (h) : (⟨f, h⟩ : M →ₗ⁅R,L⁆ N
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (h : forall {x : L} {m : M}, Eq.{succ u4} N (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f m))), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f h)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f h)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_mk LieModuleHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M → N) = f :=
@@ -1687,7 +1687,7 @@ theorem coe_to_lieModuleHom (e : M ≃ₗ⁅R,L⁆ N) : ((e : M →ₗ⁅R,L⁆
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (e : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u4)} ((fun (_x : LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) => M -> N) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (LieModuleEquiv.hasCoeToLinearEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (fun (_x : LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) => M -> N) (LinearEquiv.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) 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_inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (LieModuleEquiv.hasCoeToLinearEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) e)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R 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(CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))))))) (LieModuleEquiv.toLinearEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : M) => N) a) (SMulHomClass.toFunLike.{max u3 u4, u1, u3, u4} (LinearEquiv.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) R M N (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3))) (DistribSMul.toSMulZeroClass.{u1, u3} R M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3))) (DistribMulAction.toDistribSMul.{u1, u3} R M (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)) (Module.toDistribMulAction.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5)))) (SMulZeroClass.toSMul.{u1, u4} R N (AddMonoid.toZero.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u4} R N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4))) (DistribMulAction.toDistribSMul.{u1, u4} R N (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)) (Module.toDistribMulAction.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_7)))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u4, u1, u3, u4} (LinearEquiv.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) R M N (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)) (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)) (Module.toDistribMulAction.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5) (Module.toDistribMulAction.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_7) (SemilinearMapClass.distribMulActionHomClass.{u1, u3, u4, max u3 u4} R M N (LinearEquiv.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u3, u4, max u3 u4} R R M N (LinearEquiv.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))))))) (LieModuleEquiv.toLinearEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_to_linear_equiv LieModuleEquiv.coe_to_linearEquivₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearEquiv (e : M ≃ₗ⁅R,L⁆ N) : ((e : M ≃ₗ[R] N) : M → N) = e :=

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

@@ -627,7 +627,7 @@ theorem congr_fun {f g : L₁ →ₗ⁅R⁆ L₂} (h : f = g) (x : L₁) : f x =
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toHasAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toHasAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 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 but is expected to have type
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(CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂) h₃) f
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toAdd.{u3} L₂ 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(AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂)) x) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂)) y))), Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂) h₃) f
 Case conversion may be inaccurate. Consider using '#align lie_hom.mk_coe LieHom.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) = f :=
@@ -640,7 +640,7 @@ theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁,
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toHasAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toHasAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (f (SMul.smul.{u1, u2} R L₁ (SMulZeroClass.toHasSmul.{u1, u2} R L₁ (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R L₁ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))))) r x)) (SMul.smul.{u1, u3} R L₂ (SMulZeroClass.toHasSmul.{u1, u3} R L₂ (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R L₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R L₂ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (Module.toMulActionWithZero.{u1, u3} R L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5))))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) r) (f x))) (h₃ : forall {x : L₁} {y : L₁}, Eq.{succ u3} L₂ (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toHasBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toHasBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) x) (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) y))), Eq.{max (succ u2) (succ u3)} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) h₃)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) h₃)) f
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ 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+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ 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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))))) (RingHom.id.{u1} R 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(AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) x) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) y))), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂) h₃)) f
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_mk LieHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : L₁ → L₂) (h₁ h₂ h₃) : ((⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = f :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/c89fe2d59ae06402c3f55f978016d1ada444f57e

@@ -353,7 +353,7 @@ instance : LieRingModule L (M →ₗ[R] N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_6 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_7 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6] [_inst_8 : AddCommGroup.{u4} N] [_inst_9 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8)] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_8] [_inst_11 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_8 _inst_9 _inst_10] (f : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (x : L) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (Bracket.bracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (LieRingModule.toHasBracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) _inst_2 (LinearMap.addCommGroup.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LinearMap.lieRingModule.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)) x f) m) (HSub.hSub.{u4, u4, u4} N N N (instHSub.{u4} N (SubNegMonoid.toHasSub.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_8)))) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_8 _inst_10) x (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f m)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_6 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_7 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6] [_inst_8 : AddCommGroup.{u4} N] [_inst_9 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8)] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_8] [_inst_11 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_8 _inst_9 _inst_10] (f : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (x : L) (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Bracket.bracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (LieRingModule.toBracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) _inst_2 (LinearMap.addCommGroup.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)) x f) m) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) _inst_8)))) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) _inst_2 _inst_8 _inst_10) x (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) f m)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_6 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_7 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6] [_inst_8 : AddCommGroup.{u4} N] [_inst_9 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8)] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_8] [_inst_11 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_8 _inst_9 _inst_10] (f : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (x : L) (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Bracket.bracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (LieRingModule.toBracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) _inst_2 (LinearMap.addCommGroup.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)) x f) m) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) _inst_8)))) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) m) _inst_2 _inst_8 _inst_10) x (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) f m)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)))
 Case conversion may be inaccurate. Consider using '#align lie_hom.lie_apply LieHom.lie_applyₓ'. -/
 @[simp]
 theorem LieHom.lie_apply (f : M →ₗ[R] N) (x : L) (m : M) : ⁅x, f⁆ m = ⁅x, f m⁆ - f ⁅x, m⁆ :=
@@ -415,7 +415,7 @@ initialize_simps_projections LieHom (to_linear_map_to_fun → apply)
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} ((fun (_x : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) => L₁ -> L₂) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.LinearMap.hasCoe.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R 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L₂ _inst_1 _inst_4 _inst_5)) => L₁ -> L₂) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R L₁ L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.LinearMap.hasCoe.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 but is expected to have type
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+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : L₁) => L₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R L₁ L₂ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_to_linear_map LieHom.coe_toLinearMapₓ'. -/
 @[simp, norm_cast]
 theorem coe_toLinearMap (f : L₁ →ₗ⁅R⁆ L₂) : ((f : L₁ →ₗ[R] L₂) : L₁ → L₂) = f :=
@@ -1110,7 +1110,7 @@ instance : CoeFun (M →ₗ⁅R,L⁆ N) fun _ => M → N :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u4)} ((fun (_x : 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(Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (LieModuleHom.LinearMap.hasCoe.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} 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(AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (LieModuleHom.LinearMap.hasCoe.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_to_linear_map LieModuleHom.coe_to_linearMapₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
@@ -1176,7 +1176,7 @@ theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x,
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (x : L) (m : M) (n : N), Eq.{succ u5} P (Bracket.bracket.{u2, u5} L P (LieRingModule.toHasBracket.{u2, u5} L P _inst_2 _inst_6 _inst_12) x (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R 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(CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) => N -> P) (LinearMap.hasCoeToFun.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (coeFn.{max (succ u3) (succ (max u4 u5)), max (succ u3) (succ (max 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(AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (fun (_x : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) => M -> (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9)) (LieModuleHom.hasCoeToFun.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) f m) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x n)))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_14 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (_inst_15 : LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) (f : L) (x : M) (m : N), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) (Bracket.bracket.{u2, u5} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) (LieRingModule.toBracket.{u2, u5} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) _inst_2 _inst_6 _inst_12) f (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) x) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u5), succ u3, max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 x) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) f m)))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_14 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (_inst_15 : LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) (f : L) (x : M) (m : N), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) m) (Bracket.bracket.{u2, u5} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) m) (LieRingModule.toBracket.{u2, u5} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) m) _inst_2 _inst_6 _inst_12) f (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 x) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) f m)))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_lie₂ LieModuleHom.map_lie₂ₓ'. -/
 theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N) :
     ⁅x, f m n⁆ = f ⁅x, m⁆ n + f m ⁅x, n⁆ := by simp only [sub_add_cancel, map_lie, LieHom.lie_apply]
@@ -1319,7 +1319,7 @@ theorem mk_coe (f : M →ₗ⁅R,L⁆ N) (h) : (⟨f, h⟩ : M →ₗ⁅R,L⁆ N
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (h : forall {x : L} {m : M}, Eq.{succ u4} N (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f m))), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f h)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f h)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_mk LieModuleHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M → N) = f :=

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

@@ -415,7 +415,7 @@ initialize_simps_projections LieHom (to_linear_map_to_fun → apply)
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} ((fun (_x : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) => L₁ -> L₂) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.LinearMap.hasCoe.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) => L₁ -> L₂) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R L₁ L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.LinearMap.hasCoe.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 but is expected to have type
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+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : L₁) => L₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R L₁ L₂ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_to_linear_map LieHom.coe_toLinearMapₓ'. -/
 @[simp, norm_cast]
 theorem coe_toLinearMap (f : L₁ →ₗ⁅R⁆ L₂) : ((f : L₁ →ₗ[R] L₂) : L₁ → L₂) = f :=
@@ -426,7 +426,7 @@ theorem coe_toLinearMap (f : L₁ →ₗ⁅R⁆ L₂) : ((f : L₁ →ₗ[R] L
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (L₁ -> L₂) (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (L₁ -> L₂) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (f : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) f) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (L₁ -> L₂) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (f : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) f) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 Case conversion may be inaccurate. Consider using '#align lie_hom.to_fun_eq_coe LieHom.toFun_eq_coeₓ'. -/
 @[simp]
 theorem toFun_eq_coe (f : L₁ →ₗ⁅R⁆ L₂) : f.toFun = ⇑f :=
@@ -437,7 +437,7 @@ theorem toFun_eq_coe (f : L₁ →ₗ⁅R⁆ L₂) : f.toFun = ⇑f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (c : R) (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (SMul.smul.{u1, u2} R L₁ (SMulZeroClass.toHasSmul.{u1, u2} R L₁ (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R L₁ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))))) c x)) (SMul.smul.{u1, u3} R L₂ (SMulZeroClass.toHasSmul.{u1, u3} R L₂ (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R L₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R L₂ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (Module.toMulActionWithZero.{u1, u3} R L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5))))) c (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (c : R) (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) c x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) c x)) (HSMul.hSMul.{u1, u3, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (instHSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SMulZeroClass.toSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)))))) (Module.toMulActionWithZero.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)) (LieAlgebra.toModule.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_1 _inst_4 _inst_5)))))) c (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (c : R) (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) c x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) c x)) (HSMul.hSMul.{u1, u3, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (instHSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SMulZeroClass.toSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) _inst_4)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) _inst_4)))))) (Module.toMulActionWithZero.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) _inst_4)) (LieAlgebra.toModule.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) _inst_1 _inst_4 _inst_5)))))) c (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_smul LieHom.map_smulₓ'. -/
 @[simp]
 theorem map_smul (f : L₁ →ₗ⁅R⁆ L₂) (c : R) (x : L₁) : f (c • x) = c • f x :=
@@ -448,7 +448,7 @@ theorem map_smul (f : L₁ →ₗ⁅R⁆ L₂) (c : R) (x : L₁) : f (c • x)
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toHasAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toHasAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (SubNegMonoid.toAddMonoid.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))) x y)) (HAdd.hAdd.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) y) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (instHAdd.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddZeroClass.toAdd.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddMonoid.toAddZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddGroup.toSubNegMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toAddGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4))))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))) x y)) (HAdd.hAdd.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) y) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (instHAdd.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (AddZeroClass.toAdd.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (AddMonoid.toAddZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SubNegMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (AddGroup.toSubNegMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (AddCommGroup.toAddGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) _inst_4))))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_add LieHom.map_addₓ'. -/
 @[simp]
 theorem map_add (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x + y) = f x + f y :=
@@ -459,7 +459,7 @@ theorem map_add (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x + y) = f x + f
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSub.hSub.{u2, u2, u2} L₁ L₁ L₁ (instHSub.{u2} L₁ (SubNegMonoid.toHasSub.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) x y)) (HSub.hSub.{u3, u3, u3} L₂ L₂ L₂ (instHSub.{u3} L₂ (SubNegMonoid.toHasSub.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (HSub.hSub.{u2, u2, u2} L₁ L₁ L₁ (instHSub.{u2} L₁ (SubNegMonoid.toSub.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSub.hSub.{u2, u2, u2} L₁ L₁ L₁ (instHSub.{u2} L₁ (SubNegMonoid.toSub.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) x y)) (HSub.hSub.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) y) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (instHSub.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegMonoid.toSub.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddGroup.toSubNegMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toAddGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) (HSub.hSub.{u2, u2, u2} L₁ L₁ L₁ (instHSub.{u2} L₁ (SubNegMonoid.toSub.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSub.hSub.{u2, u2, u2} L₁ L₁ L₁ (instHSub.{u2} L₁ (SubNegMonoid.toSub.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) x y)) (HSub.hSub.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) y) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (instHSub.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SubNegMonoid.toSub.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (AddGroup.toSubNegMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (AddCommGroup.toAddGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_sub LieHom.map_subₓ'. -/
 @[simp]
 theorem map_sub (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x - y) = f x - f y :=
@@ -470,7 +470,7 @@ theorem map_sub (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x - y) = f x - f
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Neg.neg.{u2} L₁ (SubNegMonoid.toHasNeg.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))) x)) (Neg.neg.{u3} L₂ (SubNegMonoid.toHasNeg.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (Neg.neg.{u2} L₁ (NegZeroClass.toNeg.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Neg.neg.{u2} L₁ (NegZeroClass.toNeg.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x)) (Neg.neg.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (NegZeroClass.toNeg.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) (Neg.neg.{u2} L₁ (NegZeroClass.toNeg.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Neg.neg.{u2} L₁ (NegZeroClass.toNeg.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x)) (Neg.neg.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (NegZeroClass.toNeg.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) _inst_4)))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_neg LieHom.map_negₓ'. -/
 @[simp]
 theorem map_neg (f : L₁ →ₗ⁅R⁆ L₂) (x : L₁) : f (-x) = -f x :=
@@ -481,7 +481,7 @@ theorem map_neg (f : L₁ →ₗ⁅R⁆ L₂) (x : L₁) : f (-x) = -f x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toHasBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toHasBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) y) (LieRingModule.toBracket.{u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) y) _inst_4 (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) y) _inst_4) (lieRingSelfModule.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) y) (LieRingModule.toBracket.{u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) y) _inst_4 (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) y) _inst_4) (lieRingSelfModule.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) _inst_4)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_lie LieHom.map_lieₓ'. -/
 @[simp]
 theorem map_lie (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f ⁅x, y⁆ = ⁅f x, f y⁆ :=
@@ -492,7 +492,7 @@ theorem map_lie (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f ⁅x, y⁆ = ⁅f
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (OfNat.ofNat.{u2} L₁ 0 (OfNat.mk.{u2} L₁ 0 (Zero.zero.{u2} L₁ (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))))))) (OfNat.ofNat.{u3} L₂ 0 (OfNat.mk.{u3} L₂ 0 (Zero.zero.{u3} L₂ (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (SubNegMonoid.toAddMonoid.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) _inst_4))))))))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) _inst_4))))))))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_zero LieHom.map_zeroₓ'. -/
 @[simp]
 theorem map_zero (f : L₁ →ₗ⁅R⁆ L₂) : f 0 = 0 :=
@@ -510,7 +510,7 @@ def id : L₁ →ₗ⁅R⁆ L₁ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} ((fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)) (coeFn.{succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (LieHom.hasCoeToFun.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)) (id.{succ u2} L₁)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₁) a) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)) (id.{succ u2} L₁)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₁) a) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)) (id.{succ u2} L₁)
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_id LieHom.coe_idₓ'. -/
 @[simp]
 theorem coe_id : ((id : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
@@ -521,7 +521,7 @@ theorem coe_id : ((id : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} L₁ (coeFn.{succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (LieHom.hasCoeToFun.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) x) x
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₁) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) x) x
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₁) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) x) x
 Case conversion may be inaccurate. Consider using '#align lie_hom.id_apply LieHom.id_applyₓ'. -/
 theorem id_apply (x : L₁) : (id : L₁ →ₗ⁅R⁆ L₁) x = x :=
   rfl
@@ -535,7 +535,7 @@ instance : Zero (L₁ →ₗ⁅R⁆ L₂) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Eq.{max (succ u2) (succ u3)} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (OfNat.mk.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (OfNat.mk.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (OfNat.ofNat.{max u2 u3} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) 0 (OfNat.mk.{max u2 u3} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) 0 (Zero.zero.{max u2 u3} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Pi.instZero.{u2, u3} L₁ (fun (ᾰ : L₁) => L₂) (fun (i : L₁) => AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (SubNegMonoid.toAddMonoid.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.instZeroLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (OfNat.ofNat.{max u2 u3} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) 0 (Zero.toOfNat0.{max u2 u3} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (Pi.instZero.{u2, u3} L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (fun (i : L₁) => NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) i) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) i) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) i) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) i) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) i) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) i) _inst_4)))))))))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.instZeroLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (OfNat.ofNat.{max u2 u3} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) a) 0 (Zero.toOfNat0.{max u2 u3} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) a) (Pi.instZero.{u2, u3} L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) a) (fun (i : L₁) => NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) i) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) i) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) i) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) i) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) i) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) i) _inst_4)))))))))
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_zero LieHom.coe_zeroₓ'. -/
 @[norm_cast, simp]
 theorem coe_zero : ((0 : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = 0 :=
@@ -546,7 +546,7 @@ theorem coe_zero : ((0 : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (OfNat.mk.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) x) (OfNat.ofNat.{u3} L₂ 0 (OfNat.mk.{u3} L₂ 0 (Zero.zero.{u3} L₂ (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (SubNegMonoid.toAddMonoid.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.instZeroLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) x) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4))))))))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.instZeroLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) x) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) _inst_4))))))))
 Case conversion may be inaccurate. Consider using '#align lie_hom.zero_apply LieHom.zero_applyₓ'. -/
 theorem zero_apply (x : L₁) : (0 : L₁ →ₗ⁅R⁆ L₂) x = 0 :=
   rfl
@@ -560,7 +560,7 @@ instance : One (L₁ →ₗ⁅R⁆ L₁) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} ((fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (OfNat.mk.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.one.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.hasOne.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))))) (coeFn.{succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (LieHom.hasCoeToFun.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (OfNat.mk.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.one.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.hasOne.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))))) (id.{succ u2} L₁)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₁) a) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.toOfNat1.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.instOneLieHom.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))) (id.{succ u2} L₁)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₁) a) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.toOfNat1.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.instOneLieHom.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))) (id.{succ u2} L₁)
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_one LieHom.coe_oneₓ'. -/
 @[simp]
 theorem coe_one : ((1 : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
@@ -571,7 +571,7 @@ theorem coe_one : ((1 : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} L₁ (coeFn.{succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (LieHom.hasCoeToFun.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (OfNat.mk.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.one.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.hasOne.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))) x) x
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₁) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.toOfNat1.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.instOneLieHom.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))) x) x
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₁) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.toOfNat1.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.instOneLieHom.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))) x) x
 Case conversion may be inaccurate. Consider using '#align lie_hom.one_apply LieHom.one_applyₓ'. -/
 theorem one_apply (x : L₁) : (1 : L₁ →ₗ⁅R⁆ L₁) x = x :=
   rfl
@@ -584,7 +584,7 @@ instance : Inhabited (L₁ →ₗ⁅R⁆ L₂) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Function.Injective.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (L₁ -> L₂) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (ᾰ : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Function.Injective.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (L₁ -> L₂) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (ᾰ : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) ᾰ) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Function.Injective.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (L₁ -> L₂) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (ᾰ : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) ᾰ) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_injective LieHom.coe_injectiveₓ'. -/
 theorem coe_injective : @Function.Injective (L₁ →ₗ⁅R⁆ L₂) (L₁ → L₂) coeFn := by
   rintro ⟨⟨f, _⟩⟩ ⟨⟨g, _⟩⟩ ⟨h⟩ <;> congr
@@ -594,7 +594,7 @@ theorem coe_injective : @Function.Injective (L₁ →ₗ⁅R⁆ L₂) (L₁ →
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (forall (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x)) -> (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x)) -> (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x)) -> (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g)
 Case conversion may be inaccurate. Consider using '#align lie_hom.ext LieHom.extₓ'. -/
 @[ext]
 theorem ext {f g : L₁ →ₗ⁅R⁆ L₂} (h : ∀ x, f x = g x) : f = g :=
@@ -605,7 +605,7 @@ theorem ext {f g : L₁ →ₗ⁅R⁆ L₂} (h : ∀ x, f x = g x) : f = g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, Iff (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) (forall (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, Iff (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, Iff (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.ext_iff LieHom.ext_iffₓ'. -/
 theorem ext_iff {f g : L₁ →ₗ⁅R⁆ L₂} : f = g ↔ ∀ x, f x = g x :=
   ⟨by
@@ -617,7 +617,7 @@ theorem ext_iff {f g : L₁ →ₗ⁅R⁆ L₂} : f = g ↔ ∀ x, f x = g x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) -> (forall (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) -> (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) -> (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.congr_fun LieHom.congr_funₓ'. -/
 theorem congr_fun {f g : L₁ →ₗ⁅R⁆ L₂} (h : f = g) (x : L₁) : f x = g x :=
   h ▸ rfl
@@ -627,7 +627,7 @@ theorem congr_fun {f g : L₁ →ₗ⁅R⁆ L₂} (h : f = g) (x : L₁) : f x =
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toHasAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toHasAdd.{u3} L₂ 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 but is expected to have type
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+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toAdd.{u3} L₂ 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(CommRing.toCommSemiring.{u1} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R 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(RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) r) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) x))) (h₃ : forall {x : L₁} {y : L₁}, Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂)) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ 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(CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂)) y))), Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂) h₃) f
 Case conversion may be inaccurate. Consider using '#align lie_hom.mk_coe LieHom.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) = f :=
@@ -640,7 +640,7 @@ theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁,
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toHasAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toHasAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (f (SMul.smul.{u1, u2} R L₁ (SMulZeroClass.toHasSmul.{u1, u2} R L₁ (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R L₁ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))))) r x)) (SMul.smul.{u1, u3} R L₂ (SMulZeroClass.toHasSmul.{u1, u3} R L₂ (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R L₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R L₂ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) 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_inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toHasBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toHasBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) x) (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) y))), Eq.{max (succ u2) (succ u3)} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) h₃)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) h₃)) f
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ 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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))))) (RingHom.id.{u1} R 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(LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) x) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) y))), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂) h₃)) f
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (AddMonoid.toZero.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R 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((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (SMulWithZero.toSMulZeroClass.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) 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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) r) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) x))) (h₃ : forall {x : L₁} {y : L₁}, Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) x) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) y))), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂) h₃)) f
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_mk LieHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : L₁ → L₂) (h₁ h₂ h₃) : ((⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = f :=
@@ -661,7 +661,7 @@ def comp (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) : L₁ →
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u4} L₃ (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (fun (_x : LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) => L₁ -> L₃) (LieHom.hasCoeToFun.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g) x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) => L₂ -> L₃) (LieHom.hasCoeToFun.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₃) x) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) L₂ (fun (_x : L₂) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₂) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₃) x) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) L₂ (fun (_x : L₂) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₂) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.comp_apply LieHom.comp_applyₓ'. -/
 theorem comp_apply (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) (x : L₁) : f.comp g x = f (g x) :=
   rfl
@@ -671,7 +671,7 @@ theorem comp_apply (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) (
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u4)} ((fun (_x : LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) => L₁ -> L₃) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (fun (_x : LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) => L₁ -> L₃) (LieHom.hasCoeToFun.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Function.comp.{succ u2, succ u3, succ u4} L₁ L₂ L₃ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) => L₂ -> L₃) (LieHom.hasCoeToFun.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u4)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₃) a) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Function.comp.{succ u2, succ u3, succ u4} L₁ L₂ L₃ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) L₂ (fun (_x : L₂) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₂) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u4)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₃) a) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Function.comp.{succ u2, succ u3, succ u4} L₁ L₂ L₃ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) L₂ (fun (_x : L₂) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₂) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g))
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_comp LieHom.coe_compₓ'. -/
 @[norm_cast, simp]
 theorem coe_comp (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) : (f.comp g : L₁ → L₃) = f ∘ g :=
@@ -708,7 +708,7 @@ theorem id_comp (f : L₁ →ₗ⁅R⁆ L₂) : (id : L₂ →ₗ⁅R⁆ L₂).c
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : L₂ -> L₁), (Function.LeftInverse.{succ u2, succ u3} L₁ L₂ g (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (Function.RightInverse.{succ u2, succ u3} L₁ L₂ g (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (LieHom.{u1, u3, u2} R L₂ L₁ _inst_1 _inst_4 _inst_5 _inst_2 _inst_3)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : L₂ -> L₁), (Function.LeftInverse.{succ u2, succ u3} L₁ L₂ g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (Function.RightInverse.{succ u2, succ u3} L₁ L₂ g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (LieHom.{u1, u3, u2} R L₂ L₁ _inst_1 _inst_4 _inst_5 _inst_2 _inst_3)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : L₂ -> L₁), (Function.LeftInverse.{succ u2, succ u3} L₁ L₂ g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (Function.RightInverse.{succ u2, succ u3} L₁ L₂ g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (LieHom.{u1, u3, u2} R L₂ L₁ _inst_1 _inst_4 _inst_5 _inst_2 _inst_3)
 Case conversion may be inaccurate. Consider using '#align lie_hom.inverse LieHom.inverseₓ'. -/
 /-- The inverse of a bijective morphism is a morphism. -/
 def inverse (f : L₁ →ₗ⁅R⁆ L₂) (g : L₂ → L₁) (h₁ : Function.LeftInverse g f)
@@ -754,7 +754,7 @@ def LieRingModule.compLieHom : LieRingModule L₁ M
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} (M : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : AddCommGroup.{u4} M] [_inst_7 : LieRingModule.{u3, u4} L₂ M _inst_4 _inst_6] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (m : M), Eq.{succ u4} M (Bracket.bracket.{u2, u4} L₁ M (LieRingModule.toHasBracket.{u2, u4} L₁ M _inst_2 _inst_6 (LieRingModule.compLieHom.{u1, u2, u3, u4} R L₁ L₂ M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f)) x m) (Bracket.bracket.{u3, u4} L₂ M (LieRingModule.toHasBracket.{u3, u4} L₂ M _inst_4 _inst_6 _inst_7) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) m)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} (M : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : AddCommGroup.{u4} M] [_inst_7 : LieRingModule.{u3, u4} L₂ M _inst_4 _inst_6] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (m : M), Eq.{succ u4} M (Bracket.bracket.{u2, u4} L₁ M (LieRingModule.toBracket.{u2, u4} L₁ M _inst_2 _inst_6 (LieRingModule.compLieHom.{u1, u2, u3, u4} R L₁ L₂ M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f)) x m) (Bracket.bracket.{u3, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) M (LieRingModule.toBracket.{u3, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) M _inst_4 _inst_6 _inst_7) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) m)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} (M : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : AddCommGroup.{u4} M] [_inst_7 : LieRingModule.{u3, u4} L₂ M _inst_4 _inst_6] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (m : M), Eq.{succ u4} M (Bracket.bracket.{u2, u4} L₁ M (LieRingModule.toBracket.{u2, u4} L₁ M _inst_2 _inst_6 (LieRingModule.compLieHom.{u1, u2, u3, u4} R L₁ L₂ M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f)) x m) (Bracket.bracket.{u3, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) M (LieRingModule.toBracket.{u3, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) M _inst_4 _inst_6 _inst_7) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) m)
 Case conversion may be inaccurate. Consider using '#align lie_ring_module.comp_lie_hom_apply LieRingModule.compLieHom_applyₓ'. -/
 theorem LieRingModule.compLieHom_apply (x : L₁) (m : M) :
     haveI := LieRingModule.compLieHom M f
@@ -829,7 +829,7 @@ instance : CoeFun (L₁ ≃ₗ⁅R⁆ L₂) fun _ => L₁ → L₂ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Eq.{max (succ u2) (succ u3)} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.hasCoeToLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6)))) e)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.hasCoeToLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6)))) e)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieEquiv.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6) e)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : L₁) => L₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (LieEquiv.instEquivLikeLieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6))) e)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : L₁) => L₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (LieEquiv.instEquivLikeLieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6))) e)
 Case conversion may be inaccurate. Consider using '#align lie_equiv.coe_to_lie_hom LieEquiv.coe_to_lieHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_lieHom (e : L₁ ≃ₗ⁅R⁆ L₂) : ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = e :=
@@ -1019,7 +1019,7 @@ theorem symm_trans (e₁ : L₁ ≃ₗ⁅R⁆ L₂) (e₂ : L₂ ≃ₗ⁅R⁆ L
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Bijective.{succ u2, succ u3} L₁ L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.hasCoeToLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6)))) e))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Bijective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Bijective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
 Case conversion may be inaccurate. Consider using '#align lie_equiv.bijective LieEquiv.bijectiveₓ'. -/
 protected theorem bijective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Bijective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
   e.toLinearEquiv.Bijective
@@ -1029,7 +1029,7 @@ protected theorem bijective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Bijective (
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Injective.{succ u2, succ u3} L₁ L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.hasCoeToLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6)))) e))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Injective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Injective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
 Case conversion may be inaccurate. Consider using '#align lie_equiv.injective LieEquiv.injectiveₓ'. -/
 protected theorem injective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Injective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
   e.toLinearEquiv.Injective
@@ -1039,7 +1039,7 @@ protected theorem injective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Injective (
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Surjective.{succ u2, succ u3} L₁ L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.hasCoeToLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6)))) e))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Surjective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Surjective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
 Case conversion may be inaccurate. Consider using '#align lie_equiv.surjective LieEquiv.surjectiveₓ'. -/
 protected theorem surjective (e : L₁ ≃ₗ⁅R⁆ L₂) :
     Function.Surjective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
@@ -1050,7 +1050,7 @@ protected theorem surjective (e : L₁ ≃ₗ⁅R⁆ L₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), (Function.Bijective.{succ u2, succ u3} L₁ L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) f)) -> (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), (Function.Bijective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) f)) -> (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), (Function.Bijective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) f)) -> (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6)
 Case conversion may be inaccurate. Consider using '#align lie_equiv.of_bijective LieEquiv.ofBijectiveₓ'. -/
 /-- A bijective morphism of Lie algebras yields an equivalence of Lie algebras. -/
 @[simps]
@@ -1110,7 +1110,7 @@ instance : CoeFun (M →ₗ⁅R,L⁆ N) fun _ => M → N :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u4)} ((fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) => M -> N) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (LieModuleHom.LinearMap.hasCoe.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (LieModuleHom.LinearMap.hasCoe.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_to_linear_map LieModuleHom.coe_to_linearMapₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
@@ -1121,7 +1121,7 @@ theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M 
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (c : R) (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) _inst_7)))) c x)) (SMul.smul.{u1, u4} R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8)))) c (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : R) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4) _inst_7))))) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : R) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) _inst_4))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) _inst_4) _inst_7))))) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_smul LieModuleHom.map_smulₓ'. -/
 @[simp]
 theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c • f x :=
@@ -1132,7 +1132,7 @@ theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c •
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M) (y : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4)))))) x y)) (HAdd.hAdd.{u4, u4, u4} N N N (instHAdd.{u4} N (AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f y))
 but is expected to have type
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+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_add LieModuleHom.map_addₓ'. -/
 @[simp]
 theorem map_add (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x + y) = f x + f y :=
@@ -1143,7 +1143,7 @@ theorem map_add (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x + y) = f x + f y :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M) (y : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toHasSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4)))) x y)) (HSub.hSub.{u4, u4, u4} N N N (instHSub.{u4} N (SubNegMonoid.toHasSub.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_sub LieModuleHom.map_subₓ'. -/
 @[simp]
 theorem map_sub (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x - y) = f x - f y :=
@@ -1154,7 +1154,7 @@ theorem map_sub (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x - y) = f x - f y :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (Neg.neg.{u3} M (SubNegMonoid.toHasNeg.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4))) x)) (Neg.neg.{u4} N (SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_neg LieModuleHom.map_negₓ'. -/
 @[simp]
 theorem map_neg (f : M →ₗ⁅R,L⁆ N) (x : M) : f (-x) = -f x :=
@@ -1165,7 +1165,7 @@ theorem map_neg (f : M →ₗ⁅R,L⁆ N) (x : M) : f (-x) = -f x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : L) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : L) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_2 _inst_4 _inst_10) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : L) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) _inst_2 _inst_4 _inst_10) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_lie LieModuleHom.map_lieₓ'. -/
 @[simp]
 theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x, f m⁆ :=
@@ -1176,7 +1176,7 @@ theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x,
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (x : L) (m : M) (n : N), Eq.{succ u5} P (Bracket.bracket.{u2, u5} L P (LieRingModule.toHasBracket.{u2, u5} L P _inst_2 _inst_6 _inst_12) x (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) => N -> P) (LinearMap.hasCoeToFun.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (coeFn.{max (succ u3) (succ (max u4 u5)), max (succ u3) (succ (max u4 u5))} (LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (fun (_x : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) 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(AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (fun (_x : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) => M -> (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9)) (LieModuleHom.hasCoeToFun.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) f m) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x n)))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_14 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (_inst_15 : LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) (f : L) (x : M) (m : N), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) (Bracket.bracket.{u2, u5} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) (LieRingModule.toBracket.{u2, u5} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) _inst_2 _inst_6 _inst_12) f (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) x) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u5), succ u3, max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 x) m)) (HAdd.hAdd.{u5, u5, u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) f m)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) (instHAdd.{u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) (AddZeroClass.toAdd.{u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) (AddMonoid.toAddZeroClass.{u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) (SubNegMonoid.toAddMonoid.{u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) (AddGroup.toSubNegMonoid.{u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) (AddCommGroup.toAddGroup.{u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 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(instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 x) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) f m)))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_14 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (_inst_15 : LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) (f : L) (x : M) (m : N), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) (Bracket.bracket.{u2, u5} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) (LieRingModule.toBracket.{u2, u5} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) _inst_2 _inst_6 _inst_12) f (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) x) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u5), succ u3, max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, 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(SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) f x)) m) (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) x) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u5), succ u3, max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 x) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) f m)))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_lie₂ LieModuleHom.map_lie₂ₓ'. -/
 theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N) :
     ⁅x, f m n⁆ = f ⁅x, m⁆ n + f m ⁅x, n⁆ := by simp only [sub_add_cancel, map_lie, LieHom.lie_apply]
@@ -1186,7 +1186,7 @@ theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (OfNat.ofNat.{u3} M 0 (OfNat.mk.{u3} M 0 (Zero.zero.{u3} M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4))))))))) (OfNat.ofNat.{u4} N 0 (OfNat.mk.{u4} N 0 (Zero.zero.{u4} N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) _inst_4)))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) _inst_4)))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_zero LieModuleHom.map_zeroₓ'. -/
 @[simp]
 theorem map_zero (f : M →ₗ⁅R,L⁆ N) : f 0 = 0 :=
@@ -1208,7 +1208,7 @@ def id : M →ₗ⁅R,L⁆ M :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10], Eq.{succ u3} ((fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13)) (coeFn.{succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13)) (id.{succ u3} M)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], Eq.{succ u3} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => M) a) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7)) (id.{succ u3} M)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], Eq.{succ u3} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => M) a) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7)) (id.{succ u3} M)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_id LieModuleHom.coe_idₓ'. -/
 @[simp]
 theorem coe_id : ((id : M →ₗ⁅R,L⁆ M) : M → M) = id :=
@@ -1219,7 +1219,7 @@ theorem coe_id : ((id : M →ₗ⁅R,L⁆ M) : M → M) = id :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] (x : M), Eq.{succ u3} M (coeFn.{succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13) x) x
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] (_inst_10 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => M) _inst_10) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7) _inst_10) _inst_10
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] (_inst_10 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => M) _inst_10) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7) _inst_10) _inst_10
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.id_apply LieModuleHom.id_applyₓ'. -/
 theorem id_apply (x : M) : (id : M →ₗ⁅R,L⁆ M) x = x :=
   rfl
@@ -1233,7 +1233,7 @@ instance : Zero (M →ₗ⁅R,L⁆ N) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))))) (OfNat.ofNat.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) 0 (OfNat.mk.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) 0 (Zero.zero.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) (Pi.instZero.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)))) (OfNat.ofNat.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) 0 (Zero.toOfNat0.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instZero.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4))))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)))) (OfNat.ofNat.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) 0 (Zero.toOfNat0.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (Pi.instZero.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (fun (i : M) => NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) _inst_4))))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_zero LieModuleHom.coe_zeroₓ'. -/
 @[norm_cast, simp]
 theorem coe_zero : ((0 : M →ₗ⁅R,L⁆ N) : M → N) = 0 :=
@@ -1244,7 +1244,7 @@ theorem coe_zero : ((0 : M →ₗ⁅R,L⁆ N) : M → N) = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) m) (OfNat.ofNat.{u4} N 0 (OfNat.mk.{u4} N 0 (Zero.zero.{u4} N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) _inst_4)))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_11) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_11) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_11) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_11) _inst_4)))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.zero_apply LieModuleHom.zero_applyₓ'. -/
 theorem zero_apply (m : M) : (0 : M →ₗ⁅R,L⁆ N) m = 0 :=
   rfl
@@ -1261,7 +1261,7 @@ instance : Inhabited (M →ₗ⁅R,L⁆ N) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Function.Injective.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (M -> N) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (ᾰ : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Function.Injective.{max (succ u4) (succ u3), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (M -> N) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Function.Injective.{max (succ u4) (succ u3), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (M -> N) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_injective LieModuleHom.coe_injectiveₓ'. -/
 theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeFn :=
   by
@@ -1273,7 +1273,7 @@ theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeF
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, (forall (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.ext LieModuleHom.extₓ'. -/
 @[ext]
 theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
@@ -1284,7 +1284,7 @@ theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g) (forall (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.ext_iff LieModuleHom.ext_iffₓ'. -/
 theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
   ⟨by
@@ -1296,7 +1296,7 @@ theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g) -> (forall (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) -> (forall (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 f))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) -> (forall (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 f))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.congr_fun LieModuleHom.congr_funₓ'. -/
 theorem congr_fun {f g : M →ₗ⁅R,L⁆ N} (h : f = g) (x : M) : f x = g x :=
   h ▸ rfl
@@ -1319,7 +1319,7 @@ theorem mk_coe (f : M →ₗ⁅R,L⁆ N) (h) : (⟨f, h⟩ : M →ₗ⁅R,L⁆ N
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (h : forall {x : L} {m : M}, Eq.{succ u4} N (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f m))), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f h)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f h)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_mk LieModuleHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M → N) = f :=
@@ -1359,7 +1359,7 @@ def comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : M →ₗ⁅R,L⁆
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u5} P (coeFn.{max (succ u3) (succ u5), max (succ u3) (succ u5)} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g) m) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) => N -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) f (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) (_inst_14 : M), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => P) _inst_14) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13) _inst_14) (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) (_inst_14 : M), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => P) _inst_14) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13) _inst_14) (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.comp_apply LieModuleHom.comp_applyₓ'. -/
 theorem comp_apply (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) (m : M) : f.comp g m = f (g m) :=
   rfl
@@ -1369,7 +1369,7 @@ theorem comp_apply (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) (m : M) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u5)} ((fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g)) (coeFn.{max (succ u3) (succ u5), max (succ u3) (succ u5)} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g)) (Function.comp.{succ u3, succ u4, succ u5} M N P (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) => N -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) f) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10), Eq.{max (succ u3) (succ u5)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => P) a) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13)) (Function.comp.{succ u3, succ u4, succ u5} M N P (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10), Eq.{max (succ u3) (succ u5)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => P) a) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13)) (Function.comp.{succ u3, succ u4, succ u5} M N P (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_comp LieModuleHom.coe_compₓ'. -/
 @[norm_cast, simp]
 theorem coe_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : (f.comp g : M → P) = f ∘ g :=
@@ -1392,7 +1392,7 @@ theorem coe_linearMap_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N g (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) -> (Function.RightInverse.{succ u3, succ u4} M N g (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_3 _inst_5 _inst_4 _inst_8 _inst_7 _inst_11 _inst_10 _inst_14 _inst_13)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (Function.RightInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (Function.RightInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.inverse LieModuleHom.inverseₓ'. -/
 /-- The inverse of a bijective morphism of Lie modules is a morphism of Lie modules. -/
 def inverse (f : M →ₗ⁅R,L⁆ N) (g : N → M) (h₁ : Function.LeftInverse g f)
@@ -1418,7 +1418,7 @@ instance : Neg (M →ₗ⁅R,L⁆ N) where neg f := { -(f : M →ₗ[R] N) with
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasAdd.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)) f g)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (M -> N) (M -> N) (M -> N) (instHAdd.{max u3 u4} (M -> N) (Pi.instAdd.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHAdd.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instAdd.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (instHAdd.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (Pi.instAdd.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (fun (i : M) => AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) _inst_4))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_add LieModuleHom.coe_addₓ'. -/
 @[norm_cast, simp]
 theorem coe_add (f g : M →ₗ⁅R,L⁆ N) : ⇑(f + g) = f + g :=
@@ -1429,7 +1429,7 @@ theorem coe_add (f g : M →ₗ⁅R,L⁆ N) : ⇑(f + g) = f + g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasAdd.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)) f g) m) (HAdd.hAdd.{u4, u4, u4} N N N (instHAdd.{u4} N (AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.add_apply LieModuleHom.add_applyₓ'. -/
 theorem add_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f + g) m = f m + g m :=
   rfl
@@ -1439,7 +1439,7 @@ theorem add_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f + g) m = f m + g m :=
 lean 3 declaration is
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 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHSub.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instSub.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (instHSub.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (Pi.instSub.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (fun (i : M) => SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_sub LieModuleHom.coe_subₓ'. -/
 @[norm_cast, simp]
 theorem coe_sub (f g : M →ₗ⁅R,L⁆ N) : ⇑(f - g) = f - g :=
@@ -1450,7 +1450,7 @@ theorem coe_sub (f g : M →ₗ⁅R,L⁆ N) : ⇑(f - g) = f - g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSub.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)) f g) m) (HSub.hSub.{u4, u4, u4} N N N (instHSub.{u4} N (SubNegMonoid.toHasSub.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.sub_apply LieModuleHom.sub_applyₓ'. -/
 theorem sub_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f - g) m = f m - g m :=
   rfl
@@ -1460,7 +1460,7 @@ theorem sub_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f - g) m = f m - g m :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNeg.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) (Neg.neg.{max u3 u4} (M -> N) (Pi.instNeg.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) (Neg.neg.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instNeg.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) (Neg.neg.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (Pi.instNeg.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (fun (i : M) => NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_neg LieModuleHom.coe_negₓ'. -/
 @[norm_cast, simp]
 theorem coe_neg (f : M →ₗ⁅R,L⁆ N) : ⇑(-f) = -f :=
@@ -1471,7 +1471,7 @@ theorem coe_neg (f : M →ₗ⁅R,L⁆ N) : ⇑(-f) = -f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNeg.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f) m) (Neg.neg.{u4} N (SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) _inst_13) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) _inst_13) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.neg_apply LieModuleHom.neg_applyₓ'. -/
 theorem neg_apply (f : M →ₗ⁅R,L⁆ N) (m : M) : (-f) m = -f m :=
   rfl
@@ -1491,7 +1491,7 @@ instance hasNsmul : SMul ℕ (M →ₗ⁅R,L⁆ N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (n : Nat) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) n f)) (SMul.smul.{0, max u3 u4} Nat (M -> N) (Function.hasSMul.{u3, 0, u4} M Nat N (AddMonoid.SMul.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))) n (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHSMul.{0, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (AddMonoid.SMul.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.addMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4)))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (instHSMul.{0, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (AddMonoid.SMul.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (Pi.addMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (fun (i : M) => SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) _inst_4)))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_nsmul LieModuleHom.coe_nsmulₓ'. -/
 @[norm_cast, simp]
 theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • f :=
@@ -1502,7 +1502,7 @@ theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • f :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (n : Nat) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) n f) m) (SMul.smul.{0, u4} Nat N (AddMonoid.SMul.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) n (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHSMul.{0, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddMonoid.SMul.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (instHSMul.{0, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (AddMonoid.SMul.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.nsmul_apply LieModuleHom.nsmul_applyₓ'. -/
 theorem nsmul_apply (n : ℕ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (n • f) m = n • f m :=
   rfl
@@ -1522,7 +1522,7 @@ instance hasZsmul : SMul ℤ (M →ₗ⁅R,L⁆ N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (z : Int) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) z f)) (SMul.smul.{0, max u3 u4} Int (M -> N) (Function.hasSMul.{u3, 0, u4} M Int N (SubNegMonoid.SMulInt.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) z (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHSMul.{0, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (SubNegMonoid.SMulInt.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.subNegMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (instHSMul.{0, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (SubNegMonoid.SMulInt.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (Pi.subNegMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (fun (i : M) => AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_zsmul LieModuleHom.coe_zsmulₓ'. -/
 @[norm_cast, simp]
 theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • f :=
@@ -1533,7 +1533,7 @@ theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • f :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (z : Int) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) z f) m) (SMul.smul.{0, u4} Int N (SubNegMonoid.SMulInt.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) z (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHSMul.{0, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegMonoid.SMulInt.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4)))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (instHSMul.{0, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (SubNegMonoid.SMulInt.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) _inst_14) _inst_4)))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.zsmul_apply LieModuleHom.zsmul_applyₓ'. -/
 theorem zsmul_apply (z : ℤ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (z • f) m = z • f m :=
   rfl
@@ -1549,7 +1549,7 @@ instance : SMul R (M →ₗ⁅R,L⁆ N) where smul t f := { t • (f : M →ₗ[
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (t : R) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) t f)) (SMul.smul.{u1, max u3 u4} R (M -> N) (Function.hasSMul.{u3, u1, u4} M R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8))))) t (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t)) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHSMul.{u1, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instSMul.{u3, u4, u1} M R (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_5) _inst_8)))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t)) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (instHSMul.{u1, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (Pi.instSMul.{u3, u4, u1} M R (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (fun (i : M) => SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) i) _inst_5) _inst_8)))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_smul LieModuleHom.coe_smulₓ'. -/
 @[norm_cast, simp]
 theorem coe_smul (t : R) (f : M →ₗ⁅R,L⁆ N) : ⇑(t • f) = t • f :=
@@ -1560,7 +1560,7 @@ theorem coe_smul (t : R) (f : M →ₗ⁅R,L⁆ N) : ⇑(t • f) = t • f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (t : R) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) t f) m) (SMul.smul.{u1, u4} R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8)))) t (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t) f) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) _inst_5) _inst_8))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t f))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t) f) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) f) _inst_5) _inst_8))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t f))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.smul_apply LieModuleHom.smul_applyₓ'. -/
 theorem smul_apply (t : R) (f : M →ₗ⁅R,L⁆ N) (m : M) : (t • f) m = t • f m :=
   rfl
@@ -1664,7 +1664,7 @@ theorem injective (e : M ≃ₗ⁅R,L⁆ N) : Function.Injective e :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (inv_fun : N -> M) (h₁ : Function.LeftInverse.{succ u3, succ u4} M N inv_fun (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f))) (h₂ : Function.RightInverse.{succ u3, succ u4} M N inv_fun (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f))), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f inv_fun h₁ h₂)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f inv_fun h₁ h₂)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M) (_inst_14 : Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))) (f : Function.RightInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M) (_inst_14 : Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))) (f : Function.RightInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_mk LieModuleEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ⁅R,L⁆ N) (inv_fun h₁ h₂) :
@@ -1676,7 +1676,7 @@ theorem coe_mk (f : M →ₗ⁅R,L⁆ N) (inv_fun h₁ h₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (e : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleEquiv.hasCoeToLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleEquiv.hasCoeToLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) e)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleEquiv.toLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleEquiv.toLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_to_lie_module_hom LieModuleEquiv.coe_to_lieModuleHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_lieModuleHom (e : M ≃ₗ⁅R,L⁆ N) : ((e : M →ₗ⁅R,L⁆ N) : M → N) = e :=

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

@@ -353,7 +353,7 @@ instance : LieRingModule L (M →ₗ[R] N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_6 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_7 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6] [_inst_8 : AddCommGroup.{u4} N] [_inst_9 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8)] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_8] [_inst_11 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_8 _inst_9 _inst_10] (f : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (x : L) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (Bracket.bracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (LieRingModule.toHasBracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) _inst_2 (LinearMap.addCommGroup.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LinearMap.lieRingModule.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)) x f) m) (HSub.hSub.{u4, u4, u4} N N N (instHSub.{u4} N (SubNegMonoid.toHasSub.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_8)))) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_8 _inst_10) x (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f m)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_6 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_7 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6] [_inst_8 : AddCommGroup.{u4} N] [_inst_9 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8)] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_8] [_inst_11 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_8 _inst_9 _inst_10] (f : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (x : L) (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (Bracket.bracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (LieRingModule.toBracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) _inst_2 (LinearMap.addCommGroup.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)) x f) m) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) _inst_8)))) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) _inst_2 _inst_8 _inst_10) x (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f m)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_6 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_7 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6] [_inst_8 : AddCommGroup.{u4} N] [_inst_9 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8)] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_8] [_inst_11 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_8 _inst_9 _inst_10] (f : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (x : L) (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Bracket.bracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (LieRingModule.toBracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) _inst_2 (LinearMap.addCommGroup.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)) x f) m) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) _inst_8)))) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) _inst_2 _inst_8 _inst_10) x (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) f m)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)))
 Case conversion may be inaccurate. Consider using '#align lie_hom.lie_apply LieHom.lie_applyₓ'. -/
 @[simp]
 theorem LieHom.lie_apply (f : M →ₗ[R] N) (x : L) (m : M) : ⁅x, f⁆ m = ⁅x, f m⁆ - f ⁅x, m⁆ :=
@@ -415,7 +415,7 @@ initialize_simps_projections LieHom (to_linear_map_to_fun → apply)
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} ((fun (_x : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) => L₁ -> L₂) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.LinearMap.hasCoe.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) => L₁ -> L₂) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R L₁ L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.LinearMap.hasCoe.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : L₁) => L₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R L₁ L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : L₁) => L₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R L₁ L₂ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_to_linear_map LieHom.coe_toLinearMapₓ'. -/
 @[simp, norm_cast]
 theorem coe_toLinearMap (f : L₁ →ₗ⁅R⁆ L₂) : ((f : L₁ →ₗ[R] L₂) : L₁ → L₂) = f :=
@@ -426,7 +426,7 @@ theorem coe_toLinearMap (f : L₁ →ₗ⁅R⁆ L₂) : ((f : L₁ →ₗ[R] L
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (L₁ -> L₂) (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (L₁ -> L₂) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (f : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) f) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (L₁ -> L₂) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (f : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) f) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 Case conversion may be inaccurate. Consider using '#align lie_hom.to_fun_eq_coe LieHom.toFun_eq_coeₓ'. -/
 @[simp]
 theorem toFun_eq_coe (f : L₁ →ₗ⁅R⁆ L₂) : f.toFun = ⇑f :=
@@ -437,7 +437,7 @@ theorem toFun_eq_coe (f : L₁ →ₗ⁅R⁆ L₂) : f.toFun = ⇑f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (c : R) (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (SMul.smul.{u1, u2} R L₁ (SMulZeroClass.toHasSmul.{u1, u2} R L₁ (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R L₁ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))))) c x)) (SMul.smul.{u1, u3} R L₂ (SMulZeroClass.toHasSmul.{u1, u3} R L₂ (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R L₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R L₂ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (Module.toMulActionWithZero.{u1, u3} R L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5))))) c (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (c : R) (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) c x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) c x)) (HSMul.hSMul.{u1, u3, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (instHSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SMulZeroClass.toSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)))))) (Module.toMulActionWithZero.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)) (LieAlgebra.toModule.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_1 _inst_4 _inst_5)))))) c (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (c : R) (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) c x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) c x)) (HSMul.hSMul.{u1, u3, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (instHSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SMulZeroClass.toSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)))))) (Module.toMulActionWithZero.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)) (LieAlgebra.toModule.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_1 _inst_4 _inst_5)))))) c (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_smul LieHom.map_smulₓ'. -/
 @[simp]
 theorem map_smul (f : L₁ →ₗ⁅R⁆ L₂) (c : R) (x : L₁) : f (c • x) = c • f x :=
@@ -627,7 +627,7 @@ theorem congr_fun {f g : L₁ →ₗ⁅R⁆ L₂} (h : f = g) (x : L₁) : f x =
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toHasAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toHasAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 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 but is expected to have type
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+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toAdd.{u3} L₂ 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(CommRing.toCommSemiring.{u1} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) r) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) x))) (h₃ : forall {x : L₁} {y : L₁}, Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂)) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ 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(CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂)) y))), Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂) h₃) f
 Case conversion may be inaccurate. Consider using '#align lie_hom.mk_coe LieHom.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) = f :=
@@ -640,7 +640,7 @@ theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁,
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toHasAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toHasAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (f (SMul.smul.{u1, u2} R L₁ (SMulZeroClass.toHasSmul.{u1, u2} R L₁ (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R L₁ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))))) r x)) (SMul.smul.{u1, u3} R L₂ (SMulZeroClass.toHasSmul.{u1, u3} R L₂ (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R L₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R L₂ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (Module.toMulActionWithZero.{u1, u3} R L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5))))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) r) (f x))) (h₃ : forall {x : L₁} {y : L₁}, Eq.{succ u3} L₂ (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toHasBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toHasBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) x) (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) y))), Eq.{max (succ u2) (succ u3)} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) h₃)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) h₃)) f
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (AddMonoid.toZero.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (AddMonoid.toZero.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddMonoid.toZero.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) r x)) (HSMul.hSMul.{u1, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ L₂ (instHSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ (SMulZeroClass.toSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (SMulWithZero.toSMulZeroClass.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (Module.toMulActionWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} 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(AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) y))), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂) h₃)) f
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (AddMonoid.toZero.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R 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((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (SMulWithZero.toSMulZeroClass.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) 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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) r) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) x))) (h₃ : forall {x : L₁} {y : L₁}, Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) x) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) y))), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂) h₃)) f
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_mk LieHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : L₁ → L₂) (h₁ h₂ h₃) : ((⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = f :=
@@ -840,7 +840,7 @@ theorem coe_to_lieHom (e : L₁ ≃ₗ⁅R⁆ L₂) : ((e : L₁ →ₗ⁅R⁆ L
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Eq.{max (succ u2) (succ u3)} ((fun (_x : LinearEquiv.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ 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 but is expected to have type
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_inst_1)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) R L₁ L₂ (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))) (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3))) (Module.toDistribMulAction.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5)) (Module.toDistribMulAction.{u1, u3} R L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u3, max u2 u3} R L₁ L₂ (LinearEquiv.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u3, max u2 u3} R R L₁ L₂ (LinearEquiv.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u3} R R L₁ L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))))) (LieEquiv.toLinearEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 e)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : L₁) => L₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (LieEquiv.instEquivLikeLieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6))) e)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearEquiv.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : L₁) => L₂) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (LinearEquiv.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) R L₁ L₂ (SMulZeroClass.toSMul.{u1, u2} R L₁ (AddMonoid.toZero.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} R L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))) (DistribMulAction.toDistribSMul.{u1, u2} R L₁ (MonoidWithZero.toMonoid.{u1} R 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(CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) R L₁ L₂ (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))) (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3))) (Module.toDistribMulAction.{u1, u2} R L₁ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5)) (Module.toDistribMulAction.{u1, u3} R L₂ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u3, max u2 u3} R L₁ L₂ (LinearEquiv.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u2, u3, max u2 u3} R R L₁ L₂ (LinearEquiv.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u3} R R L₁ L₂ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))))))) (LieEquiv.toLinearEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 e)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : L₁) => L₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (LieEquiv.instEquivLikeLieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6))) e)
 Case conversion may be inaccurate. Consider using '#align lie_equiv.coe_to_linear_equiv LieEquiv.coe_to_linearEquivₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearEquiv (e : L₁ ≃ₗ⁅R⁆ L₂) : ((e : L₁ ≃ₗ[R] L₂) : L₁ → L₂) = e :=
@@ -851,7 +851,7 @@ theorem coe_to_linearEquiv (e : L₁ ≃ₗ⁅R⁆ L₂) : ((e : L₁ ≃ₗ[R]
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (g : L₂ -> L₁) (h₁ : Function.LeftInverse.{succ u2, succ u3} L₁ L₂ g (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 f))) (h₂ : Function.RightInverse.{succ u2, succ u3} L₁ L₂ g (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 f))), Eq.{max (succ u2) (succ u3)} (LinearEquiv.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LinearEquiv.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LinearEquiv.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LinearEquiv.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LinearEquiv.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) (LieEquiv.hasCoeToLinearEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6)))) (LieEquiv.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 f g h₁ h₂)) (LinearEquiv.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R 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(AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 f)) (LinearMap.map_add'.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 f)) (LinearMap.map_smul'.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 f)) g h₁ h₂)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (g : L₂ -> L₁) (h₁ : Function.LeftInverse.{succ u2, succ u3} L₁ L₂ g (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 f)))) (h₂ : Function.RightInverse.{succ u2, succ u3} L₁ L₂ g (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 f)))), Eq.{max (succ u2) (succ u3)} (LinearEquiv.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) (LieEquiv.toLinearEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 (LieEquiv.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 f g h₁ h₂)) (LinearEquiv.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 f) g h₁ h₂)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (g : L₂ -> L₁) (h₁ : Function.LeftInverse.{succ u2, succ u3} L₁ L₂ g (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 f)))) (h₂ : Function.RightInverse.{succ u2, succ u3} L₁ L₂ g (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 f)))), Eq.{max (succ u2) (succ u3)} (LinearEquiv.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6)) (LieEquiv.toLinearEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 (LieEquiv.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 f g h₁ h₂)) (LinearEquiv.mk.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_3)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_5) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_3 _inst_6) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 f) g h₁ h₂)
 Case conversion may be inaccurate. Consider using '#align lie_equiv.to_linear_equiv_mk LieEquiv.to_linearEquiv_mkₓ'. -/
 @[simp]
 theorem to_linearEquiv_mk (f : L₁ →ₗ⁅R⁆ L₂) (g h₁ h₂) :
@@ -1082,7 +1082,7 @@ variable [LieModule R L M] [LieModule R L N] [LieModule R L P]
 lean 3 declaration is
   forall (R : Type.{u1}) (L : Type.{u2}) (M : Type.{u3}) (N : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Sort.{max (succ u3) (succ u4)}
 but is expected to have type
-  forall (R : Type.{u1}) (L : Type.{u2}) (M : Type.{u3}) (N : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Sort.{max (succ u3) (succ u4)}
+  forall (R : Type.{u1}) (L : Type.{u2}) (M : Type.{u3}) (N : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Sort.{max (succ u3) (succ u4)}
 Case conversion may be inaccurate. Consider using '#align lie_module_hom LieModuleHomₓ'. -/
 /-- A morphism of Lie algebra modules is a linear map which commutes with the action of the Lie
 algebra. -/
@@ -1110,7 +1110,7 @@ instance : CoeFun (M →ₗ⁅R,L⁆ N) fun _ => M → N :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u4)} ((fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) => M -> N) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (LieModuleHom.LinearMap.hasCoe.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} 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(AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 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(coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (LieModuleHom.LinearMap.hasCoe.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_to_linear_map LieModuleHom.coe_to_linearMapₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
@@ -1121,7 +1121,7 @@ theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M 
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (c : R) (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) _inst_7)))) c x)) (SMul.smul.{u1, u4} R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8)))) c (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : R) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4) _inst_7))))) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : R) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4) _inst_7))))) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_smul LieModuleHom.map_smulₓ'. -/
 @[simp]
 theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c • f x :=
@@ -1132,7 +1132,7 @@ theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c •
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M) (y : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4)))))) x y)) (HAdd.hAdd.{u4, u4, u4} N N N (instHAdd.{u4} N (AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_add LieModuleHom.map_addₓ'. -/
 @[simp]
 theorem map_add (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x + y) = f x + f y :=
@@ -1143,7 +1143,7 @@ theorem map_add (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x + y) = f x + f y :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M) (y : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toHasSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4)))) x y)) (HSub.hSub.{u4, u4, u4} N N N (instHSub.{u4} N (SubNegMonoid.toHasSub.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_sub LieModuleHom.map_subₓ'. -/
 @[simp]
 theorem map_sub (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x - y) = f x - f y :=
@@ -1154,7 +1154,7 @@ theorem map_sub (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x - y) = f x - f y :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (Neg.neg.{u3} M (SubNegMonoid.toHasNeg.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4))) x)) (Neg.neg.{u4} N (SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_neg LieModuleHom.map_negₓ'. -/
 @[simp]
 theorem map_neg (f : M →ₗ⁅R,L⁆ N) (x : M) : f (-x) = -f x :=
@@ -1165,7 +1165,7 @@ theorem map_neg (f : M →ₗ⁅R,L⁆ N) (x : M) : f (-x) = -f x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : L) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : L) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_2 _inst_4 _inst_10) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : L) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_2 _inst_4 _inst_10) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_lie LieModuleHom.map_lieₓ'. -/
 @[simp]
 theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x, f m⁆ :=
@@ -1176,7 +1176,7 @@ theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x,
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (x : L) (m : M) (n : N), Eq.{succ u5} P (Bracket.bracket.{u2, u5} L P (LieRingModule.toHasBracket.{u2, u5} L P _inst_2 _inst_6 _inst_12) x (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) => N -> P) (LinearMap.hasCoeToFun.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (coeFn.{max (succ u3) (succ (max u4 u5)), max (succ u3) (succ (max u4 u5))} (LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (fun (_x : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} 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u4 u5))} (LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) 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R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (fun (_x : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) => M -> (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9)) (LieModuleHom.hasCoeToFun.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) f m) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x n)))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_14 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (_inst_15 : LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) (f : L) (x : M) (m : N), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) (Bracket.bracket.{u2, u5} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) (LieRingModule.toBracket.{u2, u5} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) _inst_2 _inst_6 _inst_12) f (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) x) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u5), succ u3, max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R 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(Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 x) m)) (HAdd.hAdd.{u5, u5, u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) f m)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) (instHAdd.{u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) (AddZeroClass.toAdd.{u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) (AddMonoid.toAddZeroClass.{u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) m) 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(instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 x) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) f m)))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_14 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (_inst_15 : LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P 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(CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) x) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u5), succ u3, max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToCommSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 x) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) f m)))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_lie₂ LieModuleHom.map_lie₂ₓ'. -/
 theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N) :
     ⁅x, f m n⁆ = f ⁅x, m⁆ n + f m ⁅x, n⁆ := by simp only [sub_add_cancel, map_lie, LieHom.lie_apply]
@@ -1186,7 +1186,7 @@ theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (OfNat.ofNat.{u3} M 0 (OfNat.mk.{u3} M 0 (Zero.zero.{u3} M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4))))))))) (OfNat.ofNat.{u4} N 0 (OfNat.mk.{u4} N 0 (Zero.zero.{u4} N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) _inst_4)))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) _inst_4)))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_zero LieModuleHom.map_zeroₓ'. -/
 @[simp]
 theorem map_zero (f : M →ₗ⁅R,L⁆ N) : f 0 = 0 :=
@@ -1197,7 +1197,7 @@ theorem map_zero (f : M →ₗ⁅R,L⁆ N) : f 0 = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10], LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.id LieModuleHom.idₓ'. -/
 /-- The identity map is a morphism of Lie modules. -/
 def id : M →ₗ⁅R,L⁆ M :=
@@ -1208,7 +1208,7 @@ def id : M →ₗ⁅R,L⁆ M :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10], Eq.{succ u3} ((fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13)) (coeFn.{succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13)) (id.{succ u3} M)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], Eq.{succ u3} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => M) a) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7)) (id.{succ u3} M)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], Eq.{succ u3} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => M) a) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7)) (id.{succ u3} M)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_id LieModuleHom.coe_idₓ'. -/
 @[simp]
 theorem coe_id : ((id : M →ₗ⁅R,L⁆ M) : M → M) = id :=
@@ -1219,7 +1219,7 @@ theorem coe_id : ((id : M →ₗ⁅R,L⁆ M) : M → M) = id :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] (x : M), Eq.{succ u3} M (coeFn.{succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13) x) x
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] (_inst_10 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => M) _inst_10) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7) _inst_10) _inst_10
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] (_inst_10 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => M) _inst_10) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7) _inst_10) _inst_10
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.id_apply LieModuleHom.id_applyₓ'. -/
 theorem id_apply (x : M) : (id : M →ₗ⁅R,L⁆ M) x = x :=
   rfl
@@ -1233,7 +1233,7 @@ instance : Zero (M →ₗ⁅R,L⁆ N) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))))) (OfNat.ofNat.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) 0 (OfNat.mk.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) 0 (Zero.zero.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) (Pi.instZero.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)))) (OfNat.ofNat.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) 0 (Zero.toOfNat0.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instZero.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4))))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)))) (OfNat.ofNat.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) 0 (Zero.toOfNat0.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instZero.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4))))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_zero LieModuleHom.coe_zeroₓ'. -/
 @[norm_cast, simp]
 theorem coe_zero : ((0 : M →ₗ⁅R,L⁆ N) : M → N) = 0 :=
@@ -1244,7 +1244,7 @@ theorem coe_zero : ((0 : M →ₗ⁅R,L⁆ N) : M → N) = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) m) (OfNat.ofNat.{u4} N 0 (OfNat.mk.{u4} N 0 (Zero.zero.{u4} N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) _inst_4)))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) _inst_4)))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.zero_apply LieModuleHom.zero_applyₓ'. -/
 theorem zero_apply (m : M) : (0 : M →ₗ⁅R,L⁆ N) m = 0 :=
   rfl
@@ -1261,7 +1261,7 @@ instance : Inhabited (M →ₗ⁅R,L⁆ N) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Function.Injective.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (M -> N) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (ᾰ : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Function.Injective.{max (succ u4) (succ u3), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (M -> N) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Function.Injective.{max (succ u4) (succ u3), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (M -> N) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_injective LieModuleHom.coe_injectiveₓ'. -/
 theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeFn :=
   by
@@ -1273,7 +1273,7 @@ theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeF
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, (forall (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.ext LieModuleHom.extₓ'. -/
 @[ext]
 theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
@@ -1284,7 +1284,7 @@ theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g) (forall (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.ext_iff LieModuleHom.ext_iffₓ'. -/
 theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
   ⟨by
@@ -1296,7 +1296,7 @@ theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g) -> (forall (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) -> (forall (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 f))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) -> (forall (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 f))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.congr_fun LieModuleHom.congr_funₓ'. -/
 theorem congr_fun {f g : M →ₗ⁅R,L⁆ N} (h : f = g) (x : M) : f x = g x :=
   h ▸ rfl
@@ -1306,7 +1306,7 @@ theorem congr_fun {f g : M →ₗ⁅R,L⁆ N} (h : f = g) (x : M) : f x = g x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (h : forall {x : L} {m : M}, Eq.{succ u4} N 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(Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (LieModuleHom.LinearMap.hasCoe.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) f) h) f
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) m))), Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_13) _inst_11
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) m))), Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_13) _inst_11
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.mk_coe LieModuleHom.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (f : M →ₗ⁅R,L⁆ N) (h) : (⟨f, h⟩ : M →ₗ⁅R,L⁆ N) = f :=
@@ -1319,7 +1319,7 @@ theorem mk_coe (f : M →ₗ⁅R,L⁆ N) (h) : (⟨f, h⟩ : M →ₗ⁅R,L⁆ N
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (h : forall {x : L} {m : M}, Eq.{succ u4} N (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f m))), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f h)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f h)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_mk LieModuleHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M → N) = f :=
@@ -1332,7 +1332,7 @@ theorem coe_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (h : forall {x : L} {m : M}, Eq.{succ u4} N (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f m))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (LieModuleHom.LinearMap.hasCoe.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f h)) f
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_11
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_11
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_linear_mk LieModuleHom.coe_linear_mkₓ'. -/
 @[norm_cast, simp]
 theorem coe_linear_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M →ₗ[R] N) = f :=
@@ -1345,7 +1345,7 @@ theorem coe_linear_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12], (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) -> (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) -> (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5], (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) -> (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) -> (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5], (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) -> (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) -> (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.comp LieModuleHom.compₓ'. -/
 /-- The composition of Lie module morphisms is a morphism. -/
 def comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : M →ₗ⁅R,L⁆ P :=
@@ -1359,7 +1359,7 @@ def comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : M →ₗ⁅R,L⁆
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u5} P (coeFn.{max (succ u3) (succ u5), max (succ u3) (succ u5)} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g) m) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) => N -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) f (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) (_inst_14 : M), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => P) _inst_14) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13) _inst_14) (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) (_inst_14 : M), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => P) _inst_14) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13) _inst_14) (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.comp_apply LieModuleHom.comp_applyₓ'. -/
 theorem comp_apply (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) (m : M) : f.comp g m = f (g m) :=
   rfl
@@ -1369,7 +1369,7 @@ theorem comp_apply (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) (m : M) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u5)} ((fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g)) (coeFn.{max (succ u3) (succ u5), max (succ u3) (succ u5)} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g)) (Function.comp.{succ u3, succ u4, succ u5} M N P (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) => N -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) f) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10), Eq.{max (succ u3) (succ u5)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => P) a) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13)) (Function.comp.{succ u3, succ u4, succ u5} M N P (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10), Eq.{max (succ u3) (succ u5)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => P) a) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13)) (Function.comp.{succ u3, succ u4, succ u5} M N P (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_comp LieModuleHom.coe_compₓ'. -/
 @[norm_cast, simp]
 theorem coe_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : (f.comp g : M → P) = f ∘ g :=
@@ -1380,7 +1380,7 @@ theorem coe_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : (f.comp g
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N 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(coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (LieModuleHom.LinearMap.hasCoe.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10), Eq.{max (succ u3) (succ u5)} (LinearMap.{u1, u1, u3, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M P (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5) _inst_6 _inst_8) (LieModuleHom.toLinearMap.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13)) (LinearMap.comp.{u1, u1, u1, u3, u4, u5} R R R M N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5) _inst_6 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomCompTriple.ids.{u1, u1} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_12) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10), Eq.{max (succ u3) (succ u5)} (LinearMap.{u1, u1, u3, u5} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M P (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5) _inst_6 _inst_8) (LieModuleHom.toLinearMap.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13)) (LinearMap.comp.{u1, u1, u1, u3, u4, u5} R R R M N P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5) _inst_6 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomCompTriple.ids.{u1, u1} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_12) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_linear_map_comp LieModuleHom.coe_linearMap_compₓ'. -/
 @[norm_cast, simp]
 theorem coe_linearMap_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) :
@@ -1392,7 +1392,7 @@ theorem coe_linearMap_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N g (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) -> (Function.RightInverse.{succ u3, succ u4} M N g (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_3 _inst_5 _inst_4 _inst_8 _inst_7 _inst_11 _inst_10 _inst_14 _inst_13)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (Function.RightInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (Function.RightInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.inverse LieModuleHom.inverseₓ'. -/
 /-- The inverse of a bijective morphism of Lie modules is a morphism of Lie modules. -/
 def inverse (f : M →ₗ⁅R,L⁆ N) (g : N → M) (h₁ : Function.LeftInverse g f)
@@ -1418,7 +1418,7 @@ instance : Neg (M →ₗ⁅R,L⁆ N) where neg f := { -(f : M →ₗ[R] N) with
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasAdd.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)) f g)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (M -> N) (M -> N) (M -> N) (instHAdd.{max u3 u4} (M -> N) (Pi.instAdd.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHAdd.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instAdd.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHAdd.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instAdd.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_add LieModuleHom.coe_addₓ'. -/
 @[norm_cast, simp]
 theorem coe_add (f g : M →ₗ⁅R,L⁆ N) : ⇑(f + g) = f + g :=
@@ -1429,7 +1429,7 @@ theorem coe_add (f g : M →ₗ⁅R,L⁆ N) : ⇑(f + g) = f + g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasAdd.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)) f g) m) (HAdd.hAdd.{u4, u4, u4} N N N (instHAdd.{u4} N (AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.add_apply LieModuleHom.add_applyₓ'. -/
 theorem add_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f + g) m = f m + g m :=
   rfl
@@ -1439,7 +1439,7 @@ theorem add_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f + g) m = f m + g m :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSub.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)) f g)) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (M -> N) (M -> N) (M -> N) (instHSub.{max u3 u4} (M -> N) (Pi.instSub.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => SubNegMonoid.toHasSub.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHSub.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instSub.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHSub.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instSub.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_sub LieModuleHom.coe_subₓ'. -/
 @[norm_cast, simp]
 theorem coe_sub (f g : M →ₗ⁅R,L⁆ N) : ⇑(f - g) = f - g :=
@@ -1450,7 +1450,7 @@ theorem coe_sub (f g : M →ₗ⁅R,L⁆ N) : ⇑(f - g) = f - g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSub.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)) f g) m) (HSub.hSub.{u4, u4, u4} N N N (instHSub.{u4} N (SubNegMonoid.toHasSub.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.sub_apply LieModuleHom.sub_applyₓ'. -/
 theorem sub_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f - g) m = f m - g m :=
   rfl
@@ -1460,7 +1460,7 @@ theorem sub_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f - g) m = f m - g m :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNeg.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) (Neg.neg.{max u3 u4} (M -> N) (Pi.instNeg.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) (Neg.neg.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instNeg.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) (Neg.neg.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instNeg.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_neg LieModuleHom.coe_negₓ'. -/
 @[norm_cast, simp]
 theorem coe_neg (f : M →ₗ⁅R,L⁆ N) : ⇑(-f) = -f :=
@@ -1471,7 +1471,7 @@ theorem coe_neg (f : M →ₗ⁅R,L⁆ N) : ⇑(-f) = -f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNeg.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f) m) (Neg.neg.{u4} N (SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) _inst_13) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) _inst_13) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.neg_apply LieModuleHom.neg_applyₓ'. -/
 theorem neg_apply (f : M →ₗ⁅R,L⁆ N) (m : M) : (-f) m = -f m :=
   rfl
@@ -1481,7 +1481,7 @@ theorem neg_apply (f : M →ₗ⁅R,L⁆ N) (m : M) : (-f) m = -f m :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], SMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], SMul.{0, max u4 u3} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], SMul.{0, max u4 u3} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.has_nsmul LieModuleHom.hasNsmulₓ'. -/
 instance hasNsmul : SMul ℕ (M →ₗ⁅R,L⁆ N)
     where smul n f := { n • (f : M →ₗ[R] N) with map_lie' := fun x m => by simp }
@@ -1491,7 +1491,7 @@ instance hasNsmul : SMul ℕ (M →ₗ⁅R,L⁆ N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (n : Nat) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) n f)) (SMul.smul.{0, max u3 u4} Nat (M -> N) (Function.hasSMul.{u3, 0, u4} M Nat N (AddMonoid.SMul.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))) n (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHSMul.{0, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (AddMonoid.SMul.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.addMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4)))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHSMul.{0, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (AddMonoid.SMul.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.addMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4)))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_nsmul LieModuleHom.coe_nsmulₓ'. -/
 @[norm_cast, simp]
 theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • f :=
@@ -1502,7 +1502,7 @@ theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • f :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (n : Nat) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) n f) m) (SMul.smul.{0, u4} Nat N (AddMonoid.SMul.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) n (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHSMul.{0, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddMonoid.SMul.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHSMul.{0, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddMonoid.SMul.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.nsmul_apply LieModuleHom.nsmul_applyₓ'. -/
 theorem nsmul_apply (n : ℕ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (n • f) m = n • f m :=
   rfl
@@ -1512,7 +1512,7 @@ theorem nsmul_apply (n : ℕ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (n • f) m =
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], SMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], SMul.{0, max u4 u3} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], SMul.{0, max u4 u3} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.has_zsmul LieModuleHom.hasZsmulₓ'. -/
 instance hasZsmul : SMul ℤ (M →ₗ⁅R,L⁆ N)
     where smul z f := { z • (f : M →ₗ[R] N) with map_lie' := fun x m => by simp }
@@ -1522,7 +1522,7 @@ instance hasZsmul : SMul ℤ (M →ₗ⁅R,L⁆ N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (z : Int) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) z f)) (SMul.smul.{0, max u3 u4} Int (M -> N) (Function.hasSMul.{u3, 0, u4} M Int N (SubNegMonoid.SMulInt.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) z (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHSMul.{0, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (SubNegMonoid.SMulInt.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.subNegMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHSMul.{0, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (SubNegMonoid.SMulInt.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.subNegMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_zsmul LieModuleHom.coe_zsmulₓ'. -/
 @[norm_cast, simp]
 theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • f :=
@@ -1533,7 +1533,7 @@ theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • f :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (z : Int) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) z f) m) (SMul.smul.{0, u4} Int N (SubNegMonoid.SMulInt.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) z (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHSMul.{0, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegMonoid.SMulInt.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4)))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHSMul.{0, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegMonoid.SMulInt.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4)))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.zsmul_apply LieModuleHom.zsmul_applyₓ'. -/
 theorem zsmul_apply (z : ℤ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (z • f) m = z • f m :=
   rfl
@@ -1549,7 +1549,7 @@ instance : SMul R (M →ₗ⁅R,L⁆ N) where smul t f := { t • (f : M →ₗ[
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (t : R) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) t f)) (SMul.smul.{u1, max u3 u4} R (M -> N) (Function.hasSMul.{u3, u1, u4} M R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8))))) t (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t)) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHSMul.{u1, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instSMul.{u3, u4, u1} M R (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_5) _inst_8)))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t)) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHSMul.{u1, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instSMul.{u3, u4, u1} M R (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_5) _inst_8)))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_smul LieModuleHom.coe_smulₓ'. -/
 @[norm_cast, simp]
 theorem coe_smul (t : R) (f : M →ₗ⁅R,L⁆ N) : ⇑(t • f) = t • f :=
@@ -1560,7 +1560,7 @@ theorem coe_smul (t : R) (f : M →ₗ⁅R,L⁆ N) : ⇑(t • f) = t • f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (t : R) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) t f) m) (SMul.smul.{u1, u4} R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8)))) t (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t) f) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) _inst_5) _inst_8))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t f))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t) f) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) _inst_5) _inst_8))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t f))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.smul_apply LieModuleHom.smul_applyₓ'. -/
 theorem smul_apply (t : R) (f : M →ₗ⁅R,L⁆ N) (m : M) : (t • f) m = t • f m :=
   rfl
@@ -1575,7 +1575,7 @@ end LieModuleHom
 lean 3 declaration is
   forall (R : Type.{u1}) (L : Type.{u2}) (M : Type.{u3}) (N : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Sort.{max (succ u3) (succ u4)}
 but is expected to have type
-  forall (R : Type.{u1}) (L : Type.{u2}) (M : Type.{u3}) (N : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Sort.{max (succ u3) (succ u4)}
+  forall (R : Type.{u1}) (L : Type.{u2}) (M : Type.{u3}) (N : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Sort.{max (succ u3) (succ u4)}
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv LieModuleEquivₓ'. -/
 /-- An equivalence of Lie algebra modules is a linear equivalence which is also a morphism of
 Lie algebra modules. -/
@@ -1598,7 +1598,7 @@ variable {R L M N P}
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) -> (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (LieModuleEquiv.toLinearEquiv._proof_1.{u1} R _inst_1) (LieModuleEquiv.toLinearEquiv._proof_2.{u1} R _inst_1) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) -> (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) -> (LinearEquiv.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.to_linear_equiv LieModuleEquiv.toLinearEquivₓ'. -/
 /-- View an equivalence of Lie modules as a linear equivalence. -/
 def toLinearEquiv (e : M ≃ₗ⁅R,L⁆ N) : M ≃ₗ[R] N :=
@@ -1609,7 +1609,7 @@ def toLinearEquiv (e : M ≃ₗ⁅R,L⁆ N) : M ≃ₗ[R] N :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) -> (Equiv.{succ u3, succ u4} M N)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) -> (Equiv.{succ u3, succ u4} M N)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) -> (Equiv.{succ u3, succ u4} M N)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.to_equiv LieModuleEquiv.toEquivₓ'. -/
 /-- View an equivalence of Lie modules as a type level equivalence. -/
 def toEquiv (e : M ≃ₗ⁅R,L⁆ N) : M ≃ N :=
@@ -1620,7 +1620,7 @@ def toEquiv (e : M ≃ₗ⁅R,L⁆ N) : M ≃ N :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Coe.{max (succ u3) (succ u4), max 1 (max (succ u3) (succ u4)) (succ u4) (succ u3)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (Equiv.{succ u3, succ u4} M N)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], CoeOut.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Equiv.{succ u3, succ u4} M N)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], CoeOut.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Equiv.{succ u3, succ u4} M N)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.has_coe_to_equiv LieModuleEquiv.hasCoeToEquivₓ'. -/
 instance hasCoeToEquiv : Coe (M ≃ₗ⁅R,L⁆ N) (M ≃ N) :=
   ⟨toEquiv⟩
@@ -1630,7 +1630,7 @@ instance hasCoeToEquiv : Coe (M ≃ₗ⁅R,L⁆ N) (M ≃ N) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Coe.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Coe.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.has_coe_to_lie_module_hom LieModuleEquiv.hasCoeToLieModuleHomₓ'. -/
 instance hasCoeToLieModuleHom : Coe (M ≃ₗ⁅R,L⁆ N) (M →ₗ⁅R,L⁆ N) :=
   ⟨toLieModuleHom⟩
@@ -1640,7 +1640,7 @@ instance hasCoeToLieModuleHom : Coe (M ≃ₗ⁅R,L⁆ N) (M →ₗ⁅R,L⁆ N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (LieModuleEquiv.hasCoeToLinearEquiv._proof_1.{u1} R _inst_1) (LieModuleEquiv.hasCoeToLinearEquiv._proof_2.{u1} R _inst_1) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], CoeOut.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], CoeOut.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LinearEquiv.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.has_coe_to_linear_equiv LieModuleEquiv.hasCoeToLinearEquivₓ'. -/
 instance hasCoeToLinearEquiv : Coe (M ≃ₗ⁅R,L⁆ N) (M ≃ₗ[R] N) :=
   ⟨toLinearEquiv⟩
@@ -1654,7 +1654,7 @@ instance : CoeFun (M ≃ₗ⁅R,L⁆ N) fun _ => M → N :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (e : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Function.Injective.{succ u3, succ u4} M N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) e)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Function.Injective.{succ u3, succ u4} M N (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Function.Injective.{succ u3, succ u4} M N (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.injective LieModuleEquiv.injectiveₓ'. -/
 theorem injective (e : M ≃ₗ⁅R,L⁆ N) : Function.Injective e :=
   e.toEquiv.Injective
@@ -1664,7 +1664,7 @@ theorem injective (e : M ≃ₗ⁅R,L⁆ N) : Function.Injective e :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (inv_fun : N -> M) (h₁ : Function.LeftInverse.{succ u3, succ u4} M N inv_fun (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f))) (h₂ : Function.RightInverse.{succ u3, succ u4} M N inv_fun (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f))), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f inv_fun h₁ h₂)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f inv_fun h₁ h₂)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M) (_inst_14 : Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))) (f : Function.RightInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M) (_inst_14 : Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))) (f : Function.RightInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_mk LieModuleEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ⁅R,L⁆ N) (inv_fun h₁ h₂) :
@@ -1676,7 +1676,7 @@ theorem coe_mk (f : M →ₗ⁅R,L⁆ N) (inv_fun h₁ h₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (e : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R 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_inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (CoeTCₓ.coe.{max (succ u3) (succ 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LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) e)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleEquiv.toLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleEquiv.toLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_to_lie_module_hom LieModuleEquiv.coe_to_lieModuleHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_lieModuleHom (e : M ≃ₗ⁅R,L⁆ N) : ((e : M →ₗ⁅R,L⁆ N) : M → N) = e :=
@@ -1687,7 +1687,7 @@ theorem coe_to_lieModuleHom (e : M ≃ₗ⁅R,L⁆ N) : ((e : M →ₗ⁅R,L⁆
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (e : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u4)} ((fun (_x : 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R 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(AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R 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(Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (LieModuleEquiv.hasCoeToLinearEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) e)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => N) a) (SMulHomClass.toFunLike.{max u3 u4, u1, u3, u4} (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) R M N (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3))) (DistribSMul.toSMulZeroClass.{u1, u3} R M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3))) (DistribMulAction.toDistribSMul.{u1, u3} R M (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)) (Module.toDistribMulAction.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5)))) (SMulZeroClass.toSMul.{u1, u4} R N (AddMonoid.toZero.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u4} R N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4))) (DistribMulAction.toDistribSMul.{u1, u4} R N (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)) (Module.toDistribMulAction.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_7)))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u4, u1, u3, u4} (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) R M N (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)) (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)) (Module.toDistribMulAction.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5) (Module.toDistribMulAction.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_7) (SemilinearMapClass.distribMulActionHomClass.{u1, u3, u4, max u3 u4} R M N (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u3, u4, max u3 u4} R R M N (LinearEquiv.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))))) (LieModuleEquiv.toLinearEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => N) a) (SMulHomClass.toFunLike.{max u3 u4, u1, u3, u4} (LinearEquiv.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) R M N (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3))) (DistribSMul.toSMulZeroClass.{u1, u3} R M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3))) (DistribMulAction.toDistribSMul.{u1, u3} R M (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)) (Module.toDistribMulAction.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5)))) (SMulZeroClass.toSMul.{u1, u4} R N (AddMonoid.toZero.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u4} R N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4))) (DistribMulAction.toDistribSMul.{u1, u4} R N (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)) (Module.toDistribMulAction.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_7)))) (DistribMulActionHomClass.toSMulHomClass.{max u3 u4, u1, u3, u4} (LinearEquiv.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) R M N (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)) (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)) (Module.toDistribMulAction.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5) (Module.toDistribMulAction.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_7) (SemilinearMapClass.distribMulActionHomClass.{u1, u3, u4, max u3 u4} R M N (LinearEquiv.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u3, u4, max u3 u4} R R M N (LinearEquiv.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))))))) (LieModuleEquiv.toLinearEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_to_linear_equiv LieModuleEquiv.coe_to_linearEquivₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearEquiv (e : M ≃ₗ⁅R,L⁆ N) : ((e : M ≃ₗ[R] N) : M → N) = e :=
@@ -1698,7 +1698,7 @@ theorem coe_to_linearEquiv (e : M ≃ₗ⁅R,L⁆ N) : ((e : M ≃ₗ[R] N) : M
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Function.Injective.{max (succ u3) (succ u4), max 1 (max (succ u3) (succ u4)) (succ u4) (succ u3)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (Equiv.{succ u3, succ u4} M N) (LieModuleEquiv.toEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Function.Injective.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Equiv.{succ u3, succ u4} M N) (LieModuleEquiv.toEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Function.Injective.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Equiv.{succ u3, succ u4} M N) (LieModuleEquiv.toEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.to_equiv_injective LieModuleEquiv.toEquiv_injectiveₓ'. -/
 theorem toEquiv_injective : Function.Injective (toEquiv : (M ≃ₗ⁅R,L⁆ N) → M ≃ N) := fun e₁ e₂ h =>
   by
@@ -1717,7 +1717,7 @@ theorem toEquiv_injective : Function.Injective (toEquiv : (M ≃ₗ⁅R,L⁆ N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (e₁ : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (e₂ : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), (forall (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) e₁ m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) e₂ m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) e₁ e₂)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_13 m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_13 m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.ext LieModuleEquiv.extₓ'. -/
 @[ext]
 theorem ext (e₁ e₂ : M ≃ₗ⁅R,L⁆ N) (h : ∀ m, e₁ m = e₂ m) : e₁ = e₂ :=
@@ -1731,7 +1731,7 @@ instance : One (M ≃ₗ⁅R,L⁆ M) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] (m : M), Eq.{succ u3} M (coeFn.{succ u3, succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (fun (_x : LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (OfNat.ofNat.{u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) 1 (OfNat.mk.{u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) 1 (One.one.{u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (LieModuleEquiv.hasOne.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13)))) m) m
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] (_inst_10 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) _inst_10) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) a) (EmbeddingLike.toFunLike.{succ u3, succ u3, succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M M (EquivLike.toEmbeddingLike.{succ u3, succ u3, succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M M (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7))) (OfNat.ofNat.{u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) 1 (One.toOfNat1.{u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleEquiv.instOneLieModuleEquiv.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7))) _inst_10) _inst_10
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] (_inst_10 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) _inst_10) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) a) (EmbeddingLike.toFunLike.{succ u3, succ u3, succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M M (EquivLike.toEmbeddingLike.{succ u3, succ u3, succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M M (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7))) (OfNat.ofNat.{u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) 1 (One.toOfNat1.{u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleEquiv.instOneLieModuleEquiv.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7))) _inst_10) _inst_10
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.one_apply LieModuleEquiv.one_applyₓ'. -/
 @[simp]
 theorem one_apply (m : M) : (1 : M ≃ₗ⁅R,L⁆ M) m = m :=
@@ -1745,7 +1745,7 @@ instance : Inhabited (M ≃ₗ⁅R,L⁆ M) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10], LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.refl LieModuleEquiv.reflₓ'. -/
 /-- Lie module equivalences are reflexive. -/
 @[refl]
@@ -1757,7 +1757,7 @@ def refl : M ≃ₗ⁅R,L⁆ M :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] (m : M), Eq.{succ u3} M (coeFn.{succ u3, succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (fun (_x : LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (LieModuleEquiv.refl.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13) m) m
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] (_inst_10 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) _inst_10) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) a) (EmbeddingLike.toFunLike.{succ u3, succ u3, succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M M (EquivLike.toEmbeddingLike.{succ u3, succ u3, succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M M (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7))) (LieModuleEquiv.refl.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7) _inst_10) _inst_10
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] (_inst_10 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) _inst_10) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) a) (EmbeddingLike.toFunLike.{succ u3, succ u3, succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M M (EquivLike.toEmbeddingLike.{succ u3, succ u3, succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M M (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7))) (LieModuleEquiv.refl.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7) _inst_10) _inst_10
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.refl_apply LieModuleEquiv.refl_applyₓ'. -/
 @[simp]
 theorem refl_apply (m : M) : (refl : M ≃ₗ⁅R,L⁆ M) m = m :=
@@ -1768,7 +1768,7 @@ theorem refl_apply (m : M) : (refl : M ≃ₗ⁅R,L⁆ M) m = m :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) -> (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_3 _inst_5 _inst_4 _inst_8 _inst_7 _inst_11 _inst_10 _inst_14 _inst_13)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) -> (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) -> (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm LieModuleEquiv.symmₓ'. -/
 /-- Lie module equivalences are syemmtric. -/
 @[symm]
@@ -1781,7 +1781,7 @@ def symm (e : M ≃ₗ⁅R,L⁆ N) : N ≃ₗ⁅R,L⁆ M :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (e : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : N), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) e (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_3 _inst_5 _inst_4 _inst_8 _inst_7 _inst_11 _inst_10 _inst_14 _inst_13) (fun (_x : LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_3 _inst_5 _inst_4 _inst_8 _inst_7 _inst_11 _inst_10 _inst_14 _inst_13) => N -> M) (LieModuleEquiv.hasCoeToFun.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_3 _inst_5 _inst_4 _inst_8 _inst_7 _inst_11 _inst_10 _inst_14 _inst_13) (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 e) x)) x
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N), Eq.{succ u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) (FunLike.coe.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N (fun (a : N) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : N) => M) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N M (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N M (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8))) (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N (fun (a : N) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : N) => M) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N M (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N M (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8))) (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_13)) _inst_13
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N), Eq.{succ u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) (FunLike.coe.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N (fun (a : N) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : N) => M) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N M (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N M (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8))) (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N (fun (a : N) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : N) => M) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N M (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N M (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8))) (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_13)) _inst_13
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.apply_symm_apply LieModuleEquiv.apply_symm_applyₓ'. -/
 @[simp]
 theorem apply_symm_apply (e : M ≃ₗ⁅R,L⁆ N) : ∀ x, e (e.symm x) = x :=
@@ -1792,7 +1792,7 @@ theorem apply_symm_apply (e : M ≃ₗ⁅R,L⁆ N) : ∀ x, e (e.symm x) = x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (e : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M), Eq.{succ u3} M (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_3 _inst_5 _inst_4 _inst_8 _inst_7 _inst_11 _inst_10 _inst_14 _inst_13) (fun (_x : LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_3 _inst_5 _inst_4 _inst_8 _inst_7 _inst_11 _inst_10 _inst_14 _inst_13) => N -> M) (LieModuleEquiv.hasCoeToFun.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_3 _inst_5 _inst_4 _inst_8 _inst_7 _inst_11 _inst_10 _inst_14 _inst_13) (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 e) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) e x)) x
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : N) => M) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N (fun (a : N) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : N) => M) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N M (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N M (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8))) (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11 _inst_13)) _inst_13
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : N) => M) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N (fun (a : N) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : N) => M) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N M (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u4, succ u3} (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8) N M (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8))) (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11 _inst_13)) _inst_13
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm_apply_apply LieModuleEquiv.symm_apply_applyₓ'. -/
 @[simp]
 theorem symm_apply_apply (e : M ≃ₗ⁅R,L⁆ N) : ∀ x, e.symm (e x) = x :=
@@ -1803,7 +1803,7 @@ theorem symm_apply_apply (e : M ≃ₗ⁅R,L⁆ N) : ∀ x, e.symm (e x) = x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (e : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleEquiv.symm.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_3 _inst_5 _inst_4 _inst_8 _inst_7 _inst_11 _inst_10 _inst_14 _inst_13 (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 e)) e
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleEquiv.symm.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8 (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) _inst_11
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleEquiv.symm.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8 (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) _inst_11
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm_symm LieModuleEquiv.symm_symmₓ'. -/
 @[simp]
 theorem symm_symm (e : M ≃ₗ⁅R,L⁆ N) : e.symm.symm = e :=
@@ -1817,7 +1817,7 @@ theorem symm_symm (e : M ≃ₗ⁅R,L⁆ N) : e.symm.symm = e :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12], (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) -> (LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) -> (LieModuleEquiv.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5], (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) -> (LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) -> (LieModuleEquiv.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5], (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) -> (LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) -> (LieModuleEquiv.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.trans LieModuleEquiv.transₓ'. -/
 /-- Lie module equivalences are transitive. -/
 @[trans]
@@ -1830,7 +1830,7 @@ def trans (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) : M ≃ₗ
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (e₁ : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (e₂ : LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (m : M), Eq.{succ u5} P (coeFn.{max (succ u3) (succ u5), max (succ u3) (succ u5)} (LieModuleEquiv.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (fun (_x : LieModuleEquiv.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (LieModuleEquiv.trans.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 e₁ e₂) m) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (fun (_x : LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) => N -> P) (LieModuleEquiv.hasCoeToFun.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) e₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) e₁ m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) (_inst_13 : LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_14 : M), Eq.{succ u5} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => P) _inst_14) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleEquiv.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => P) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleEquiv.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M P (EquivLike.toEmbeddingLike.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleEquiv.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M P (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11))) (LieModuleEquiv.trans.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13) _inst_14) (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : N) => P) a) (EmbeddingLike.toFunLike.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N P (EquivLike.toEmbeddingLike.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N P (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11))) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10))) _inst_12 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) (_inst_13 : LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_14 : M), Eq.{succ u5} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => P) _inst_14) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleEquiv.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => P) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleEquiv.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M P (EquivLike.toEmbeddingLike.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleEquiv.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M P (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11))) (LieModuleEquiv.trans.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13) _inst_14) (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : N) => P) a) (EmbeddingLike.toFunLike.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N P (EquivLike.toEmbeddingLike.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N P (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11))) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10))) _inst_12 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.trans_apply LieModuleEquiv.trans_applyₓ'. -/
 @[simp]
 theorem trans_apply (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) (m : M) : (e₁.trans e₂) m = e₂ (e₁ m) :=
@@ -1841,7 +1841,7 @@ theorem trans_apply (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) (m
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (e₁ : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (e₂ : LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15), Eq.{max (succ u5) (succ u3)} (LieModuleEquiv.{u1, u2, u5, u3} R L P M _inst_1 _inst_2 _inst_3 _inst_6 _inst_4 _inst_9 _inst_7 _inst_12 _inst_10 _inst_15 _inst_13) (LieModuleEquiv.symm.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15 (LieModuleEquiv.trans.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 e₁ e₂)) (LieModuleEquiv.trans.{u1, u2, u5, u4, u3} R L P N M _inst_1 _inst_2 _inst_3 _inst_6 _inst_5 _inst_4 _inst_9 _inst_8 _inst_7 _inst_12 _inst_11 _inst_10 _inst_15 _inst_14 _inst_13 (LieModuleEquiv.symm.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15 e₂) (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 e₁))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) (_inst_13 : LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11), Eq.{max (succ u3) (succ u5)} (LieModuleEquiv.{u1, u2, u5, u3} R L P M _inst_1 _inst_2 _inst_5 _inst_3 _inst_8 _inst_6 _inst_11 _inst_9) (LieModuleEquiv.symm.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 (LieModuleEquiv.trans.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13)) (LieModuleEquiv.trans.{u1, u2, u5, u4, u3} R L P N M _inst_1 _inst_2 _inst_5 _inst_4 _inst_3 _inst_8 _inst_7 _inst_6 _inst_11 _inst_10 _inst_9 (LieModuleEquiv.symm.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13) (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) (_inst_13 : LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11), Eq.{max (succ u3) (succ u5)} (LieModuleEquiv.{u1, u2, u5, u3} R L P M _inst_1 _inst_2 _inst_5 _inst_3 _inst_8 _inst_6 _inst_11 _inst_9) (LieModuleEquiv.symm.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 (LieModuleEquiv.trans.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13)) (LieModuleEquiv.trans.{u1, u2, u5, u4, u3} R L P N M _inst_1 _inst_2 _inst_5 _inst_4 _inst_3 _inst_8 _inst_7 _inst_6 _inst_11 _inst_10 _inst_9 (LieModuleEquiv.symm.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13) (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12))
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm_trans LieModuleEquiv.symm_transₓ'. -/
 @[simp]
 theorem symm_trans (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) :
@@ -1853,7 +1853,7 @@ theorem symm_trans (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (e : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (LieModuleEquiv.trans.{u1, u2, u3, u4, u3} R L M N M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_4 _inst_7 _inst_8 _inst_7 _inst_10 _inst_11 _inst_10 _inst_13 _inst_14 _inst_13 e (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 e)) (LieModuleEquiv.refl.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_5 _inst_5 _inst_8 _inst_8) (LieModuleEquiv.trans.{u1, u2, u3, u4, u3} R L M N M _inst_1 _inst_2 _inst_3 _inst_4 _inst_3 _inst_5 _inst_7 _inst_5 _inst_8 _inst_10 _inst_8 _inst_11 (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (LieModuleEquiv.refl.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_5 _inst_8)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_5 _inst_5 _inst_8 _inst_8) (LieModuleEquiv.trans.{u1, u2, u3, u4, u3} R L M N M _inst_1 _inst_2 _inst_3 _inst_4 _inst_3 _inst_5 _inst_7 _inst_5 _inst_8 _inst_10 _inst_8 _inst_11 (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (LieModuleEquiv.refl.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_5 _inst_8)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.self_trans_symm LieModuleEquiv.self_trans_symmₓ'. -/
 @[simp]
 theorem self_trans_symm (e : M ≃ₗ⁅R,L⁆ N) : e.trans e.symm = refl :=
@@ -1864,7 +1864,7 @@ theorem self_trans_symm (e : M ≃ₗ⁅R,L⁆ N) : e.trans e.symm = refl :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (e : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ u4} (LieModuleEquiv.{u1, u2, u4, u4} R L N N _inst_1 _inst_2 _inst_3 _inst_5 _inst_5 _inst_8 _inst_8 _inst_11 _inst_11 _inst_14 _inst_14) (LieModuleEquiv.trans.{u1, u2, u4, u3, u4} R L N M N _inst_1 _inst_2 _inst_3 _inst_5 _inst_4 _inst_5 _inst_8 _inst_7 _inst_8 _inst_11 _inst_10 _inst_11 _inst_14 _inst_13 _inst_14 (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 e) e) (LieModuleEquiv.refl.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u4} (LieModuleEquiv.{u1, u2, u4, u4} R L N N _inst_1 _inst_2 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10) (LieModuleEquiv.trans.{u1, u2, u4, u3, u4} R L N M N _inst_1 _inst_2 _inst_4 _inst_3 _inst_4 _inst_7 _inst_5 _inst_7 _inst_10 _inst_8 _inst_10 (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_11) (LieModuleEquiv.refl.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_4 _inst_7 _inst_10)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u4} (LieModuleEquiv.{u1, u2, u4, u4} R L N N _inst_1 _inst_2 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10) (LieModuleEquiv.trans.{u1, u2, u4, u3, u4} R L N M N _inst_1 _inst_2 _inst_4 _inst_3 _inst_4 _inst_7 _inst_5 _inst_7 _inst_10 _inst_8 _inst_10 (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_11) (LieModuleEquiv.refl.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_4 _inst_7 _inst_10)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm_trans_self LieModuleEquiv.symm_trans_selfₓ'. -/
 @[simp]
 theorem symm_trans_self (e : M ≃ₗ⁅R,L⁆ N) : e.symm.trans e = refl :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/2af0836443b4cfb5feda0df0051acdb398304931

@@ -415,7 +415,7 @@ initialize_simps_projections LieHom (to_linear_map_to_fun → apply)
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} ((fun (_x : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) => L₁ -> L₂) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) 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_inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.LinearMap.hasCoe.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) => L₁ -> L₂) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R L₁ L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.LinearMap.hasCoe.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : L₁) => L₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R L₁ L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : L₁) => L₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R L₁ L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_to_linear_map LieHom.coe_toLinearMapₓ'. -/
 @[simp, norm_cast]
 theorem coe_toLinearMap (f : L₁ →ₗ⁅R⁆ L₂) : ((f : L₁ →ₗ[R] L₂) : L₁ → L₂) = f :=
@@ -426,7 +426,7 @@ theorem coe_toLinearMap (f : L₁ →ₗ⁅R⁆ L₂) : ((f : L₁ →ₗ[R] L
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (L₁ -> L₂) (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (L₁ -> L₂) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (f : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) f) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (L₁ -> L₂) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (f : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) f) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 Case conversion may be inaccurate. Consider using '#align lie_hom.to_fun_eq_coe LieHom.toFun_eq_coeₓ'. -/
 @[simp]
 theorem toFun_eq_coe (f : L₁ →ₗ⁅R⁆ L₂) : f.toFun = ⇑f :=
@@ -437,7 +437,7 @@ theorem toFun_eq_coe (f : L₁ →ₗ⁅R⁆ L₂) : f.toFun = ⇑f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (c : R) (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (SMul.smul.{u1, u2} R L₁ (SMulZeroClass.toHasSmul.{u1, u2} R L₁ (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R L₁ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))))) c x)) (SMul.smul.{u1, u3} R L₂ (SMulZeroClass.toHasSmul.{u1, u3} R L₂ (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R L₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R L₂ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (Module.toMulActionWithZero.{u1, u3} R L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5))))) c (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (c : R) (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) c x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) c x)) (HSMul.hSMul.{u1, u3, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (instHSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SMulZeroClass.toSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4)))))) (Module.toMulActionWithZero.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4)) (LieAlgebra.toModule.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_1 _inst_4 _inst_5)))))) c (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (c : R) (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) c x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) c x)) (HSMul.hSMul.{u1, u3, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (instHSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SMulZeroClass.toSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)))))) (Module.toMulActionWithZero.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)) (LieAlgebra.toModule.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_1 _inst_4 _inst_5)))))) c (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_smul LieHom.map_smulₓ'. -/
 @[simp]
 theorem map_smul (f : L₁ →ₗ⁅R⁆ L₂) (c : R) (x : L₁) : f (c • x) = c • f x :=
@@ -448,7 +448,7 @@ theorem map_smul (f : L₁ →ₗ⁅R⁆ L₂) (c : R) (x : L₁) : f (c • x)
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toHasAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toHasAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (SubNegMonoid.toAddMonoid.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))) x y)) (HAdd.hAdd.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) y) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (instHAdd.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddZeroClass.toAdd.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddMonoid.toAddZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubNegMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddGroup.toSubNegMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddCommGroup.toAddGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4))))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))) x y)) (HAdd.hAdd.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) y) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (instHAdd.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddZeroClass.toAdd.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddMonoid.toAddZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddGroup.toSubNegMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toAddGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4))))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_add LieHom.map_addₓ'. -/
 @[simp]
 theorem map_add (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x + y) = f x + f y :=
@@ -459,7 +459,7 @@ theorem map_add (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x + y) = f x + f
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSub.hSub.{u2, u2, u2} L₁ L₁ L₁ (instHSub.{u2} L₁ (SubNegMonoid.toHasSub.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) x y)) (HSub.hSub.{u3, u3, u3} L₂ L₂ L₂ (instHSub.{u3} L₂ (SubNegMonoid.toHasSub.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (HSub.hSub.{u2, u2, u2} L₁ L₁ L₁ (instHSub.{u2} L₁ (SubNegMonoid.toSub.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSub.hSub.{u2, u2, u2} L₁ L₁ L₁ (instHSub.{u2} L₁ (SubNegMonoid.toSub.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) x y)) (HSub.hSub.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) y) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (instHSub.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubNegMonoid.toSub.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddGroup.toSubNegMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddCommGroup.toAddGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (HSub.hSub.{u2, u2, u2} L₁ L₁ L₁ (instHSub.{u2} L₁ (SubNegMonoid.toSub.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSub.hSub.{u2, u2, u2} L₁ L₁ L₁ (instHSub.{u2} L₁ (SubNegMonoid.toSub.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) x y)) (HSub.hSub.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) y) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (instHSub.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegMonoid.toSub.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddGroup.toSubNegMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toAddGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_sub LieHom.map_subₓ'. -/
 @[simp]
 theorem map_sub (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x - y) = f x - f y :=
@@ -470,7 +470,7 @@ theorem map_sub (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x - y) = f x - f
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Neg.neg.{u2} L₁ (SubNegMonoid.toHasNeg.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))) x)) (Neg.neg.{u3} L₂ (SubNegMonoid.toHasNeg.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (Neg.neg.{u2} L₁ (NegZeroClass.toNeg.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Neg.neg.{u2} L₁ (NegZeroClass.toNeg.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x)) (Neg.neg.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (NegZeroClass.toNeg.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4)))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (Neg.neg.{u2} L₁ (NegZeroClass.toNeg.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Neg.neg.{u2} L₁ (NegZeroClass.toNeg.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x)) (Neg.neg.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (NegZeroClass.toNeg.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_neg LieHom.map_negₓ'. -/
 @[simp]
 theorem map_neg (f : L₁ →ₗ⁅R⁆ L₂) (x : L₁) : f (-x) = -f x :=
@@ -481,7 +481,7 @@ theorem map_neg (f : L₁ →ₗ⁅R⁆ L₂) (x : L₁) : f (-x) = -f x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toHasBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toHasBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) y) (LieRingModule.toBracket.{u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) y) _inst_4 (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) y) _inst_4) (lieRingSelfModule.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) y) (LieRingModule.toBracket.{u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) y) _inst_4 (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) y) _inst_4) (lieRingSelfModule.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_lie LieHom.map_lieₓ'. -/
 @[simp]
 theorem map_lie (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f ⁅x, y⁆ = ⁅f x, f y⁆ :=
@@ -492,7 +492,7 @@ theorem map_lie (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f ⁅x, y⁆ = ⁅f
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (OfNat.ofNat.{u2} L₁ 0 (OfNat.mk.{u2} L₁ 0 (Zero.zero.{u2} L₁ (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))))))) (OfNat.ofNat.{u3} L₂ 0 (OfNat.mk.{u3} L₂ 0 (Zero.zero.{u3} L₂ (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (SubNegMonoid.toAddMonoid.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) _inst_4))))))))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) _inst_4))))))))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_zero LieHom.map_zeroₓ'. -/
 @[simp]
 theorem map_zero (f : L₁ →ₗ⁅R⁆ L₂) : f 0 = 0 :=
@@ -510,7 +510,7 @@ def id : L₁ →ₗ⁅R⁆ L₁ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} ((fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)) (coeFn.{succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (LieHom.hasCoeToFun.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)) (id.{succ u2} L₁)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₁) a) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)) (id.{succ u2} L₁)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₁) a) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)) (id.{succ u2} L₁)
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_id LieHom.coe_idₓ'. -/
 @[simp]
 theorem coe_id : ((id : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
@@ -521,7 +521,7 @@ theorem coe_id : ((id : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} L₁ (coeFn.{succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (LieHom.hasCoeToFun.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) x) x
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₁) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) x) x
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₁) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) x) x
 Case conversion may be inaccurate. Consider using '#align lie_hom.id_apply LieHom.id_applyₓ'. -/
 theorem id_apply (x : L₁) : (id : L₁ →ₗ⁅R⁆ L₁) x = x :=
   rfl
@@ -535,7 +535,7 @@ instance : Zero (L₁ →ₗ⁅R⁆ L₂) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Eq.{max (succ u2) (succ u3)} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (OfNat.mk.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (OfNat.mk.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (OfNat.ofNat.{max u2 u3} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) 0 (OfNat.mk.{max u2 u3} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) 0 (Zero.zero.{max u2 u3} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Pi.instZero.{u2, u3} L₁ (fun (ᾰ : L₁) => L₂) (fun (i : L₁) => AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (SubNegMonoid.toAddMonoid.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.instZeroLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (OfNat.ofNat.{max u2 u3} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) a) 0 (Zero.toOfNat0.{max u2 u3} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) a) (Pi.instZero.{u2, u3} L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) a) (fun (i : L₁) => NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) i) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) i) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) i) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) i) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) i) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) i) _inst_4)))))))))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.instZeroLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (OfNat.ofNat.{max u2 u3} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) 0 (Zero.toOfNat0.{max u2 u3} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (Pi.instZero.{u2, u3} L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (fun (i : L₁) => NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) i) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) i) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) i) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) i) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) i) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) i) _inst_4)))))))))
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_zero LieHom.coe_zeroₓ'. -/
 @[norm_cast, simp]
 theorem coe_zero : ((0 : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = 0 :=
@@ -546,7 +546,7 @@ theorem coe_zero : ((0 : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (OfNat.mk.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) x) (OfNat.ofNat.{u3} L₂ 0 (OfNat.mk.{u3} L₂ 0 (Zero.zero.{u3} L₂ (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (SubNegMonoid.toAddMonoid.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.instZeroLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) x) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4))))))))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.instZeroLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) x) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) _inst_4))))))))
 Case conversion may be inaccurate. Consider using '#align lie_hom.zero_apply LieHom.zero_applyₓ'. -/
 theorem zero_apply (x : L₁) : (0 : L₁ →ₗ⁅R⁆ L₂) x = 0 :=
   rfl
@@ -560,7 +560,7 @@ instance : One (L₁ →ₗ⁅R⁆ L₁) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} ((fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (OfNat.mk.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.one.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.hasOne.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))))) (coeFn.{succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (LieHom.hasCoeToFun.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (OfNat.mk.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.one.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.hasOne.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))))) (id.{succ u2} L₁)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₁) a) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.toOfNat1.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.instOneLieHom.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))) (id.{succ u2} L₁)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₁) a) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.toOfNat1.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.instOneLieHom.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))) (id.{succ u2} L₁)
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_one LieHom.coe_oneₓ'. -/
 @[simp]
 theorem coe_one : ((1 : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
@@ -571,7 +571,7 @@ theorem coe_one : ((1 : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} L₁ (coeFn.{succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (LieHom.hasCoeToFun.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (OfNat.mk.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.one.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.hasOne.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))) x) x
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₁) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.toOfNat1.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.instOneLieHom.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))) x) x
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₁) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.toOfNat1.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.instOneLieHom.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))) x) x
 Case conversion may be inaccurate. Consider using '#align lie_hom.one_apply LieHom.one_applyₓ'. -/
 theorem one_apply (x : L₁) : (1 : L₁ →ₗ⁅R⁆ L₁) x = x :=
   rfl
@@ -584,7 +584,7 @@ instance : Inhabited (L₁ →ₗ⁅R⁆ L₂) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Function.Injective.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (L₁ -> L₂) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (ᾰ : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Function.Injective.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (L₁ -> L₂) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (ᾰ : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) ᾰ) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Function.Injective.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (L₁ -> L₂) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (ᾰ : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) ᾰ) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_injective LieHom.coe_injectiveₓ'. -/
 theorem coe_injective : @Function.Injective (L₁ →ₗ⁅R⁆ L₂) (L₁ → L₂) coeFn := by
   rintro ⟨⟨f, _⟩⟩ ⟨⟨g, _⟩⟩ ⟨h⟩ <;> congr
@@ -594,7 +594,7 @@ theorem coe_injective : @Function.Injective (L₁ →ₗ⁅R⁆ L₂) (L₁ →
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (forall (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x)) -> (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x)) -> (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x)) -> (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g)
 Case conversion may be inaccurate. Consider using '#align lie_hom.ext LieHom.extₓ'. -/
 @[ext]
 theorem ext {f g : L₁ →ₗ⁅R⁆ L₂} (h : ∀ x, f x = g x) : f = g :=
@@ -605,7 +605,7 @@ theorem ext {f g : L₁ →ₗ⁅R⁆ L₂} (h : ∀ x, f x = g x) : f = g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, Iff (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) (forall (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, Iff (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, Iff (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.ext_iff LieHom.ext_iffₓ'. -/
 theorem ext_iff {f g : L₁ →ₗ⁅R⁆ L₂} : f = g ↔ ∀ x, f x = g x :=
   ⟨by
@@ -617,7 +617,7 @@ theorem ext_iff {f g : L₁ →ₗ⁅R⁆ L₂} : f = g ↔ ∀ x, f x = g x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) -> (forall (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) -> (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) -> (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.congr_fun LieHom.congr_funₓ'. -/
 theorem congr_fun {f g : L₁ →ₗ⁅R⁆ L₂} (h : f = g) (x : L₁) : f x = g x :=
   h ▸ rfl
@@ -627,7 +627,7 @@ theorem congr_fun {f g : L₁ →ₗ⁅R⁆ L₂} (h : f = g) (x : L₁) : f x =
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toHasAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toHasAdd.{u3} L₂ 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 but is expected to have type
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+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toAdd.{u3} L₂ 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(x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) x))) (h₃ : forall {x : L₁} {y : L₁}, Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ 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(AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂)) x) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂)) y))), Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂) h₃) f
 Case conversion may be inaccurate. Consider using '#align lie_hom.mk_coe LieHom.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) = f :=
@@ -640,7 +640,7 @@ theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁,
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toHasAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toHasAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (f (SMul.smul.{u1, u2} R L₁ (SMulZeroClass.toHasSmul.{u1, u2} R L₁ (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R L₁ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))))) r x)) (SMul.smul.{u1, u3} R L₂ (SMulZeroClass.toHasSmul.{u1, u3} R L₂ (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R L₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R L₂ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (Module.toMulActionWithZero.{u1, u3} R L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5))))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) r) (f x))) (h₃ : forall {x : L₁} {y : L₁}, Eq.{succ u3} L₂ (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toHasBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toHasBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R 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(Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) y))), Eq.{max (succ u2) (succ u3)} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) h₃)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) h₃)) f
 but is expected to have type
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=> R) r) L₂ (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (SMulWithZero.toSMulZeroClass.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ 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(NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) r) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} 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(LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) 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(Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) x) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) y))), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂) h₃)) f
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ 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=> R) r) L₂ (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (SMulWithZero.toSMulZeroClass.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ 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(NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) r) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) x))) (h₃ : forall {x : L₁} {y : L₁}, Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) x) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) y))), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂) h₃)) f
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_mk LieHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : L₁ → L₂) (h₁ h₂ h₃) : ((⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = f :=
@@ -661,7 +661,7 @@ def comp (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) : L₁ →
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u4} L₃ (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (fun (_x : LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) => L₁ -> L₃) (LieHom.hasCoeToFun.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g) x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) => L₂ -> L₃) (LieHom.hasCoeToFun.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₃) x) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) L₂ (fun (_x : L₂) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₂) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₃) x) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) L₂ (fun (_x : L₂) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₂) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.comp_apply LieHom.comp_applyₓ'. -/
 theorem comp_apply (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) (x : L₁) : f.comp g x = f (g x) :=
   rfl
@@ -671,7 +671,7 @@ theorem comp_apply (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) (
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u4)} ((fun (_x : LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) => L₁ -> L₃) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (fun (_x : LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) => L₁ -> L₃) (LieHom.hasCoeToFun.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Function.comp.{succ u2, succ u3, succ u4} L₁ L₂ L₃ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) => L₂ -> L₃) (LieHom.hasCoeToFun.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u4)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₃) a) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Function.comp.{succ u2, succ u3, succ u4} L₁ L₂ L₃ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) L₂ (fun (_x : L₂) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₂) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u4)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₃) a) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Function.comp.{succ u2, succ u3, succ u4} L₁ L₂ L₃ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) L₂ (fun (_x : L₂) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₂) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g))
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_comp LieHom.coe_compₓ'. -/
 @[norm_cast, simp]
 theorem coe_comp (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) : (f.comp g : L₁ → L₃) = f ∘ g :=
@@ -708,7 +708,7 @@ theorem id_comp (f : L₁ →ₗ⁅R⁆ L₂) : (id : L₂ →ₗ⁅R⁆ L₂).c
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : L₂ -> L₁), (Function.LeftInverse.{succ u2, succ u3} L₁ L₂ g (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (Function.RightInverse.{succ u2, succ u3} L₁ L₂ g (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (LieHom.{u1, u3, u2} R L₂ L₁ _inst_1 _inst_4 _inst_5 _inst_2 _inst_3)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : L₂ -> L₁), (Function.LeftInverse.{succ u2, succ u3} L₁ L₂ g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (Function.RightInverse.{succ u2, succ u3} L₁ L₂ g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (LieHom.{u1, u3, u2} R L₂ L₁ _inst_1 _inst_4 _inst_5 _inst_2 _inst_3)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : L₂ -> L₁), (Function.LeftInverse.{succ u2, succ u3} L₁ L₂ g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (Function.RightInverse.{succ u2, succ u3} L₁ L₂ g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (LieHom.{u1, u3, u2} R L₂ L₁ _inst_1 _inst_4 _inst_5 _inst_2 _inst_3)
 Case conversion may be inaccurate. Consider using '#align lie_hom.inverse LieHom.inverseₓ'. -/
 /-- The inverse of a bijective morphism is a morphism. -/
 def inverse (f : L₁ →ₗ⁅R⁆ L₂) (g : L₂ → L₁) (h₁ : Function.LeftInverse g f)
@@ -754,7 +754,7 @@ def LieRingModule.compLieHom : LieRingModule L₁ M
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} (M : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : AddCommGroup.{u4} M] [_inst_7 : LieRingModule.{u3, u4} L₂ M _inst_4 _inst_6] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (m : M), Eq.{succ u4} M (Bracket.bracket.{u2, u4} L₁ M (LieRingModule.toHasBracket.{u2, u4} L₁ M _inst_2 _inst_6 (LieRingModule.compLieHom.{u1, u2, u3, u4} R L₁ L₂ M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f)) x m) (Bracket.bracket.{u3, u4} L₂ M (LieRingModule.toHasBracket.{u3, u4} L₂ M _inst_4 _inst_6 _inst_7) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) m)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} (M : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : AddCommGroup.{u4} M] [_inst_7 : LieRingModule.{u3, u4} L₂ M _inst_4 _inst_6] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (m : M), Eq.{succ u4} M (Bracket.bracket.{u2, u4} L₁ M (LieRingModule.toBracket.{u2, u4} L₁ M _inst_2 _inst_6 (LieRingModule.compLieHom.{u1, u2, u3, u4} R L₁ L₂ M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f)) x m) (Bracket.bracket.{u3, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) M (LieRingModule.toBracket.{u3, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) M _inst_4 _inst_6 _inst_7) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) m)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} (M : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : AddCommGroup.{u4} M] [_inst_7 : LieRingModule.{u3, u4} L₂ M _inst_4 _inst_6] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (m : M), Eq.{succ u4} M (Bracket.bracket.{u2, u4} L₁ M (LieRingModule.toBracket.{u2, u4} L₁ M _inst_2 _inst_6 (LieRingModule.compLieHom.{u1, u2, u3, u4} R L₁ L₂ M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f)) x m) (Bracket.bracket.{u3, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) M (LieRingModule.toBracket.{u3, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) x) M _inst_4 _inst_6 _inst_7) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) m)
 Case conversion may be inaccurate. Consider using '#align lie_ring_module.comp_lie_hom_apply LieRingModule.compLieHom_applyₓ'. -/
 theorem LieRingModule.compLieHom_apply (x : L₁) (m : M) :
     haveI := LieRingModule.compLieHom M f
@@ -829,7 +829,7 @@ instance : CoeFun (L₁ ≃ₗ⁅R⁆ L₂) fun _ => L₁ → L₂ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Eq.{max (succ u2) (succ u3)} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.hasCoeToLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6)))) e)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.hasCoeToLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6)))) e)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieEquiv.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6) e)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : L₁) => L₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (LieEquiv.instEquivLikeLieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6))) e)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : L₁) => L₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (LieEquiv.instEquivLikeLieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6))) e)
 Case conversion may be inaccurate. Consider using '#align lie_equiv.coe_to_lie_hom LieEquiv.coe_to_lieHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_lieHom (e : L₁ ≃ₗ⁅R⁆ L₂) : ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = e :=
@@ -1019,7 +1019,7 @@ theorem symm_trans (e₁ : L₁ ≃ₗ⁅R⁆ L₂) (e₂ : L₂ ≃ₗ⁅R⁆ L
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Bijective.{succ u2, succ u3} L₁ L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.hasCoeToLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6)))) e))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Bijective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Bijective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
 Case conversion may be inaccurate. Consider using '#align lie_equiv.bijective LieEquiv.bijectiveₓ'. -/
 protected theorem bijective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Bijective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
   e.toLinearEquiv.Bijective
@@ -1029,7 +1029,7 @@ protected theorem bijective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Bijective (
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Injective.{succ u2, succ u3} L₁ L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.hasCoeToLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6)))) e))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Injective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Injective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
 Case conversion may be inaccurate. Consider using '#align lie_equiv.injective LieEquiv.injectiveₓ'. -/
 protected theorem injective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Injective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
   e.toLinearEquiv.Injective
@@ -1039,7 +1039,7 @@ protected theorem injective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Injective (
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Surjective.{succ u2, succ u3} L₁ L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.hasCoeToLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6)))) e))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Surjective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Surjective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
 Case conversion may be inaccurate. Consider using '#align lie_equiv.surjective LieEquiv.surjectiveₓ'. -/
 protected theorem surjective (e : L₁ ≃ₗ⁅R⁆ L₂) :
     Function.Surjective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
@@ -1050,7 +1050,7 @@ protected theorem surjective (e : L₁ ≃ₗ⁅R⁆ L₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), (Function.Bijective.{succ u2, succ u3} L₁ L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) f)) -> (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), (Function.Bijective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) f)) -> (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), (Function.Bijective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) f)) -> (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6)
 Case conversion may be inaccurate. Consider using '#align lie_equiv.of_bijective LieEquiv.ofBijectiveₓ'. -/
 /-- A bijective morphism of Lie algebras yields an equivalence of Lie algebras. -/
 @[simps]
@@ -1110,7 +1110,7 @@ instance : CoeFun (M →ₗ⁅R,L⁆ N) fun _ => M → N :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u4)} ((fun (_x : 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(Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (LieModuleHom.LinearMap.hasCoe.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} 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(AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 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_inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_to_linear_map LieModuleHom.coe_to_linearMapₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
@@ -1121,7 +1121,7 @@ theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M 
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (c : R) (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) _inst_7)))) c x)) (SMul.smul.{u1, u4} R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8)))) c (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : R) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) _inst_4))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) _inst_4) _inst_7))))) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : R) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4) _inst_7))))) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_smul LieModuleHom.map_smulₓ'. -/
 @[simp]
 theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c • f x :=
@@ -1132,7 +1132,7 @@ theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c •
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M) (y : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4)))))) x y)) (HAdd.hAdd.{u4, u4, u4} N N N (instHAdd.{u4} N (AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_add LieModuleHom.map_addₓ'. -/
 @[simp]
 theorem map_add (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x + y) = f x + f y :=
@@ -1143,7 +1143,7 @@ theorem map_add (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x + y) = f x + f y :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M) (y : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toHasSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4)))) x y)) (HSub.hSub.{u4, u4, u4} N N N (instHSub.{u4} N (SubNegMonoid.toHasSub.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_sub LieModuleHom.map_subₓ'. -/
 @[simp]
 theorem map_sub (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x - y) = f x - f y :=
@@ -1154,7 +1154,7 @@ theorem map_sub (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x - y) = f x - f y :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (Neg.neg.{u3} M (SubNegMonoid.toHasNeg.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4))) x)) (Neg.neg.{u4} N (SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_neg LieModuleHom.map_negₓ'. -/
 @[simp]
 theorem map_neg (f : M →ₗ⁅R,L⁆ N) (x : M) : f (-x) = -f x :=
@@ -1165,7 +1165,7 @@ theorem map_neg (f : M →ₗ⁅R,L⁆ N) (x : M) : f (-x) = -f x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : L) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : L) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) _inst_2 _inst_4 _inst_10) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : L) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_2 _inst_4 _inst_10) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_lie LieModuleHom.map_lieₓ'. -/
 @[simp]
 theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x, f m⁆ :=
@@ -1176,7 +1176,7 @@ theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x,
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R 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_inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (fun (_x : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) => M -> (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9)) (LieModuleHom.hasCoeToFun.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) n) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) => N -> P) (LinearMap.hasCoeToFun.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (coeFn.{max (succ u3) (succ (max u4 u5)), max (succ u3) (succ (max u4 u5))} (LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (fun (_x : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) => M -> (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9)) (LieModuleHom.hasCoeToFun.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) f m) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x n)))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_14 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (_inst_15 : LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 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(instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 x) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) f m)))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_14 : LieModule.{u1, u2, u5} R L P 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(instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 x) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) f m)))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_lie₂ LieModuleHom.map_lie₂ₓ'. -/
 theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N) :
     ⁅x, f m n⁆ = f ⁅x, m⁆ n + f m ⁅x, n⁆ := by simp only [sub_add_cancel, map_lie, LieHom.lie_apply]
@@ -1186,7 +1186,7 @@ theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (OfNat.ofNat.{u3} M 0 (OfNat.mk.{u3} M 0 (Zero.zero.{u3} M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4))))))))) (OfNat.ofNat.{u4} N 0 (OfNat.mk.{u4} N 0 (Zero.zero.{u4} N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) _inst_4)))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) _inst_4)))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_zero LieModuleHom.map_zeroₓ'. -/
 @[simp]
 theorem map_zero (f : M →ₗ⁅R,L⁆ N) : f 0 = 0 :=
@@ -1208,7 +1208,7 @@ def id : M →ₗ⁅R,L⁆ M :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10], Eq.{succ u3} ((fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13)) (coeFn.{succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13)) (id.{succ u3} M)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], Eq.{succ u3} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => M) a) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7)) (id.{succ u3} M)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], Eq.{succ u3} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => M) a) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7)) (id.{succ u3} M)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_id LieModuleHom.coe_idₓ'. -/
 @[simp]
 theorem coe_id : ((id : M →ₗ⁅R,L⁆ M) : M → M) = id :=
@@ -1219,7 +1219,7 @@ theorem coe_id : ((id : M →ₗ⁅R,L⁆ M) : M → M) = id :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] (x : M), Eq.{succ u3} M (coeFn.{succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13) x) x
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] (_inst_10 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => M) _inst_10) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7) _inst_10) _inst_10
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] (_inst_10 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => M) _inst_10) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7) _inst_10) _inst_10
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.id_apply LieModuleHom.id_applyₓ'. -/
 theorem id_apply (x : M) : (id : M →ₗ⁅R,L⁆ M) x = x :=
   rfl
@@ -1233,7 +1233,7 @@ instance : Zero (M →ₗ⁅R,L⁆ N) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))))) (OfNat.ofNat.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) 0 (OfNat.mk.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) 0 (Zero.zero.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) (Pi.instZero.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)))) (OfNat.ofNat.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) 0 (Zero.toOfNat0.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (Pi.instZero.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (fun (i : M) => NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_4))))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)))) (OfNat.ofNat.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) 0 (Zero.toOfNat0.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instZero.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4))))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_zero LieModuleHom.coe_zeroₓ'. -/
 @[norm_cast, simp]
 theorem coe_zero : ((0 : M →ₗ⁅R,L⁆ N) : M → N) = 0 :=
@@ -1244,7 +1244,7 @@ theorem coe_zero : ((0 : M →ₗ⁅R,L⁆ N) : M → N) = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) m) (OfNat.ofNat.{u4} N 0 (OfNat.mk.{u4} N 0 (Zero.zero.{u4} N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_11) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_11) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_11) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_11) _inst_4)))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_11) _inst_4)))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.zero_apply LieModuleHom.zero_applyₓ'. -/
 theorem zero_apply (m : M) : (0 : M →ₗ⁅R,L⁆ N) m = 0 :=
   rfl
@@ -1261,7 +1261,7 @@ instance : Inhabited (M →ₗ⁅R,L⁆ N) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Function.Injective.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (M -> N) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (ᾰ : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Function.Injective.{max (succ u4) (succ u3), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (M -> N) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Function.Injective.{max (succ u4) (succ u3), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (M -> N) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_injective LieModuleHom.coe_injectiveₓ'. -/
 theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeFn :=
   by
@@ -1273,7 +1273,7 @@ theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeF
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, (forall (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.ext LieModuleHom.extₓ'. -/
 @[ext]
 theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
@@ -1284,7 +1284,7 @@ theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g) (forall (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.ext_iff LieModuleHom.ext_iffₓ'. -/
 theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
   ⟨by
@@ -1296,7 +1296,7 @@ theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g) -> (forall (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) -> (forall (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 f))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) -> (forall (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 f))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.congr_fun LieModuleHom.congr_funₓ'. -/
 theorem congr_fun {f g : M →ₗ⁅R,L⁆ N} (h : f = g) (x : M) : f x = g x :=
   h ▸ rfl
@@ -1319,7 +1319,7 @@ theorem mk_coe (f : M →ₗ⁅R,L⁆ N) (h) : (⟨f, h⟩ : M →ₗ⁅R,L⁆ N
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (h : forall {x : L} {m : M}, Eq.{succ u4} N (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f m))), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f h)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f h)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_mk LieModuleHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M → N) = f :=
@@ -1359,7 +1359,7 @@ def comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : M →ₗ⁅R,L⁆
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u5} P (coeFn.{max (succ u3) (succ u5), max (succ u3) (succ u5)} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g) m) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) => N -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) f (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) (_inst_14 : M), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => P) _inst_14) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13) _inst_14) (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) (_inst_14 : M), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => P) _inst_14) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13) _inst_14) (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.comp_apply LieModuleHom.comp_applyₓ'. -/
 theorem comp_apply (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) (m : M) : f.comp g m = f (g m) :=
   rfl
@@ -1369,7 +1369,7 @@ theorem comp_apply (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) (m : M) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u5)} ((fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g)) (coeFn.{max (succ u3) (succ u5), max (succ u3) (succ u5)} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g)) (Function.comp.{succ u3, succ u4, succ u5} M N P (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) => N -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) f) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10), Eq.{max (succ u3) (succ u5)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => P) a) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13)) (Function.comp.{succ u3, succ u4, succ u5} M N P (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10), Eq.{max (succ u3) (succ u5)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => P) a) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13)) (Function.comp.{succ u3, succ u4, succ u5} M N P (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_comp LieModuleHom.coe_compₓ'. -/
 @[norm_cast, simp]
 theorem coe_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : (f.comp g : M → P) = f ∘ g :=
@@ -1392,7 +1392,7 @@ theorem coe_linearMap_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N g (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) -> (Function.RightInverse.{succ u3, succ u4} M N g (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_3 _inst_5 _inst_4 _inst_8 _inst_7 _inst_11 _inst_10 _inst_14 _inst_13)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (Function.RightInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (Function.RightInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.inverse LieModuleHom.inverseₓ'. -/
 /-- The inverse of a bijective morphism of Lie modules is a morphism of Lie modules. -/
 def inverse (f : M →ₗ⁅R,L⁆ N) (g : N → M) (h₁ : Function.LeftInverse g f)
@@ -1418,7 +1418,7 @@ instance : Neg (M →ₗ⁅R,L⁆ N) where neg f := { -(f : M →ₗ[R] N) with
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasAdd.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)) f g)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (M -> N) (M -> N) (M -> N) (instHAdd.{max u3 u4} (M -> N) (Pi.instAdd.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (instHAdd.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (Pi.instAdd.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (fun (i : M) => AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_4))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHAdd.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instAdd.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_add LieModuleHom.coe_addₓ'. -/
 @[norm_cast, simp]
 theorem coe_add (f g : M →ₗ⁅R,L⁆ N) : ⇑(f + g) = f + g :=
@@ -1429,7 +1429,7 @@ theorem coe_add (f g : M →ₗ⁅R,L⁆ N) : ⇑(f + g) = f + g :=
 lean 3 declaration is
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 but is expected to have type
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+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.add_apply LieModuleHom.add_applyₓ'. -/
 theorem add_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f + g) m = f m + g m :=
   rfl
@@ -1439,7 +1439,7 @@ theorem add_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f + g) m = f m + g m :=
 lean 3 declaration is
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 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (instHSub.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (Pi.instSub.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (fun (i : M) => SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHSub.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instSub.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_sub LieModuleHom.coe_subₓ'. -/
 @[norm_cast, simp]
 theorem coe_sub (f g : M →ₗ⁅R,L⁆ N) : ⇑(f - g) = f - g :=
@@ -1450,7 +1450,7 @@ theorem coe_sub (f g : M →ₗ⁅R,L⁆ N) : ⇑(f - g) = f - g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSub.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)) f g) m) (HSub.hSub.{u4, u4, u4} N N N (instHSub.{u4} N (SubNegMonoid.toHasSub.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.sub_apply LieModuleHom.sub_applyₓ'. -/
 theorem sub_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f - g) m = f m - g m :=
   rfl
@@ -1460,7 +1460,7 @@ theorem sub_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f - g) m = f m - g m :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNeg.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) (Neg.neg.{max u3 u4} (M -> N) (Pi.instNeg.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) (Neg.neg.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (Pi.instNeg.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (fun (i : M) => NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) (Neg.neg.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instNeg.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_neg LieModuleHom.coe_negₓ'. -/
 @[norm_cast, simp]
 theorem coe_neg (f : M →ₗ⁅R,L⁆ N) : ⇑(-f) = -f :=
@@ -1471,7 +1471,7 @@ theorem coe_neg (f : M →ₗ⁅R,L⁆ N) : ⇑(-f) = -f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNeg.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f) m) (Neg.neg.{u4} N (SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) _inst_13) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) _inst_13) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.neg_apply LieModuleHom.neg_applyₓ'. -/
 theorem neg_apply (f : M →ₗ⁅R,L⁆ N) (m : M) : (-f) m = -f m :=
   rfl
@@ -1491,7 +1491,7 @@ instance hasNsmul : SMul ℕ (M →ₗ⁅R,L⁆ N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (n : Nat) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) n f)) (SMul.smul.{0, max u3 u4} Nat (M -> N) (Function.hasSMul.{u3, 0, u4} M Nat N (AddMonoid.SMul.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))) n (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (instHSMul.{0, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (AddMonoid.SMul.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (Pi.addMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (fun (i : M) => SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_4)))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHSMul.{0, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (AddMonoid.SMul.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.addMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4)))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_nsmul LieModuleHom.coe_nsmulₓ'. -/
 @[norm_cast, simp]
 theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • f :=
@@ -1502,7 +1502,7 @@ theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • f :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (n : Nat) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) n f) m) (SMul.smul.{0, u4} Nat N (AddMonoid.SMul.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) n (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (instHSMul.{0, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddMonoid.SMul.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHSMul.{0, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddMonoid.SMul.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.nsmul_apply LieModuleHom.nsmul_applyₓ'. -/
 theorem nsmul_apply (n : ℕ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (n • f) m = n • f m :=
   rfl
@@ -1522,7 +1522,7 @@ instance hasZsmul : SMul ℤ (M →ₗ⁅R,L⁆ N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (z : Int) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) z f)) (SMul.smul.{0, max u3 u4} Int (M -> N) (Function.hasSMul.{u3, 0, u4} M Int N (SubNegMonoid.SMulInt.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) z (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (instHSMul.{0, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (SubNegMonoid.SMulInt.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (Pi.subNegMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (fun (i : M) => AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHSMul.{0, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (SubNegMonoid.SMulInt.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.subNegMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_zsmul LieModuleHom.coe_zsmulₓ'. -/
 @[norm_cast, simp]
 theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • f :=
@@ -1533,7 +1533,7 @@ theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • f :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (z : Int) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) z f) m) (SMul.smul.{0, u4} Int N (SubNegMonoid.SMulInt.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) z (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (instHSMul.{0, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubNegMonoid.SMulInt.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) _inst_4)))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (instHSMul.{0, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (SubNegMonoid.SMulInt.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) _inst_14) _inst_4)))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.zsmul_apply LieModuleHom.zsmul_applyₓ'. -/
 theorem zsmul_apply (z : ℤ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (z • f) m = z • f m :=
   rfl
@@ -1549,7 +1549,7 @@ instance : SMul R (M →ₗ⁅R,L⁆ N) where smul t f := { t • (f : M →ₗ[
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (t : R) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) t f)) (SMul.smul.{u1, max u3 u4} R (M -> N) (Function.hasSMul.{u3, u1, u4} M R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8))))) t (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t)) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (instHSMul.{u1, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (Pi.instSMul.{u3, u4, u1} M R (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (fun (i : M) => SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_5) _inst_8)))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t)) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (instHSMul.{u1, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (Pi.instSMul.{u3, u4, u1} M R (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (fun (i : M) => SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) i) _inst_5) _inst_8)))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_smul LieModuleHom.coe_smulₓ'. -/
 @[norm_cast, simp]
 theorem coe_smul (t : R) (f : M →ₗ⁅R,L⁆ N) : ⇑(t • f) = t • f :=
@@ -1560,7 +1560,7 @@ theorem coe_smul (t : R) (f : M →ₗ⁅R,L⁆ N) : ⇑(t • f) = t • f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (t : R) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) t f) m) (SMul.smul.{u1, u4} R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8)))) t (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t) f) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) _inst_5) _inst_8))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t f))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t) f) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) f) _inst_5) _inst_8))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t f))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.smul_apply LieModuleHom.smul_applyₓ'. -/
 theorem smul_apply (t : R) (f : M →ₗ⁅R,L⁆ N) (m : M) : (t • f) m = t • f m :=
   rfl
@@ -1664,7 +1664,7 @@ theorem injective (e : M ≃ₗ⁅R,L⁆ N) : Function.Injective e :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (inv_fun : N -> M) (h₁ : Function.LeftInverse.{succ u3, succ u4} M N inv_fun (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f))) (h₂ : Function.RightInverse.{succ u3, succ u4} M N inv_fun (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f))), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f inv_fun h₁ h₂)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f inv_fun h₁ h₂)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M) (_inst_14 : Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))) (f : Function.RightInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M) (_inst_14 : Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))) (f : Function.RightInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_mk LieModuleEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ⁅R,L⁆ N) (inv_fun h₁ h₂) :
@@ -1676,7 +1676,7 @@ theorem coe_mk (f : M →ₗ⁅R,L⁆ N) (inv_fun h₁ h₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (e : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleEquiv.hasCoeToLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleEquiv.hasCoeToLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) e)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleEquiv.toLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleEquiv.toLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_to_lie_module_hom LieModuleEquiv.coe_to_lieModuleHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_lieModuleHom (e : M ≃ₗ⁅R,L⁆ N) : ((e : M →ₗ⁅R,L⁆ N) : M → N) = e :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/3180fab693e2cee3bff62675571264cb8778b212

@@ -353,7 +353,7 @@ instance : LieRingModule L (M →ₗ[R] N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_6 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_7 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6] [_inst_8 : AddCommGroup.{u4} N] [_inst_9 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8)] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_8] [_inst_11 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_8 _inst_9 _inst_10] (f : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (x : L) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (Bracket.bracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (LieRingModule.toHasBracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) _inst_2 (LinearMap.addCommGroup.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LinearMap.lieRingModule.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)) x f) m) (HSub.hSub.{u4, u4, u4} N N N (instHSub.{u4} N (SubNegMonoid.toHasSub.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_8)))) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_8 _inst_10) x (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f m)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_6 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_7 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6] [_inst_8 : AddCommGroup.{u4} N] [_inst_9 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8)] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_8] [_inst_11 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_8 _inst_9 _inst_10] (f : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (x : L) (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (Bracket.bracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (LieRingModule.toBracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) _inst_2 (LinearMap.addCommGroup.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)) x f) m) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) m) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) m) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) m) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) m) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) m) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) m) _inst_8)))) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) m) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) m) _inst_2 _inst_8 _inst_10) x (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f m)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_6 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_7 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6] [_inst_8 : AddCommGroup.{u4} N] [_inst_9 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8)] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_8] [_inst_11 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_8 _inst_9 _inst_10] (f : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (x : L) (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (Bracket.bracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) (LieRingModule.toBracket.{u2, max u3 u4} L (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) _inst_2 (LinearMap.addCommGroup.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)) x f) m) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) _inst_8)))) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) m) _inst_2 _inst_8 _inst_10) x (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f m)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_8) _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_4 _inst_6) x m)))
 Case conversion may be inaccurate. Consider using '#align lie_hom.lie_apply LieHom.lie_applyₓ'. -/
 @[simp]
 theorem LieHom.lie_apply (f : M →ₗ[R] N) (x : L) (m : M) : ⁅x, f⁆ m = ⁅x, f m⁆ - f ⁅x, m⁆ :=
@@ -415,7 +415,7 @@ initialize_simps_projections LieHom (to_linear_map_to_fun → apply)
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} ((fun (_x : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) => L₁ -> L₂) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.LinearMap.hasCoe.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) => L₁ -> L₂) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R L₁ L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.LinearMap.hasCoe.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : L₁) => L₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R L₁ L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : L₁) => L₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} R R L₁ L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_to_linear_map LieHom.coe_toLinearMapₓ'. -/
 @[simp, norm_cast]
 theorem coe_toLinearMap (f : L₁ →ₗ⁅R⁆ L₂) : ((f : L₁ →ₗ[R] L₂) : L₁ → L₂) = f :=
@@ -426,7 +426,7 @@ theorem coe_toLinearMap (f : L₁ →ₗ⁅R⁆ L₂) : ((f : L₁ →ₗ[R] L
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (L₁ -> L₂) (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (L₁ -> L₂) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (f : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) f) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (L₁ -> L₂) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieHom.toLinearMap.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (f : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) f) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 Case conversion may be inaccurate. Consider using '#align lie_hom.to_fun_eq_coe LieHom.toFun_eq_coeₓ'. -/
 @[simp]
 theorem toFun_eq_coe (f : L₁ →ₗ⁅R⁆ L₂) : f.toFun = ⇑f :=
@@ -437,7 +437,7 @@ theorem toFun_eq_coe (f : L₁ →ₗ⁅R⁆ L₂) : f.toFun = ⇑f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (c : R) (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (SMul.smul.{u1, u2} R L₁ (SMulZeroClass.toHasSmul.{u1, u2} R L₁ (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R L₁ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))))) c x)) (SMul.smul.{u1, u3} R L₂ (SMulZeroClass.toHasSmul.{u1, u3} R L₂ (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R L₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R L₂ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (Module.toMulActionWithZero.{u1, u3} R L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5))))) c (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (c : R) (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) c x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) c x)) (HSMul.hSMul.{u1, u3, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (instHSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SMulZeroClass.toSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) _inst_4)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) _inst_4)))))) (Module.toMulActionWithZero.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) _inst_4)) (LieAlgebra.toModule.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) _inst_1 _inst_4 _inst_5)))))) c (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (c : R) (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) c x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) c x)) (HSMul.hSMul.{u1, u3, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (instHSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SMulZeroClass.toSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4)))))) (Module.toMulActionWithZero.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4)) (LieAlgebra.toModule.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_1 _inst_4 _inst_5)))))) c (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_smul LieHom.map_smulₓ'. -/
 @[simp]
 theorem map_smul (f : L₁ →ₗ⁅R⁆ L₂) (c : R) (x : L₁) : f (c • x) = c • f x :=
@@ -448,7 +448,7 @@ theorem map_smul (f : L₁ →ₗ⁅R⁆ L₂) (c : R) (x : L₁) : f (c • x)
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toHasAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toHasAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (SubNegMonoid.toAddMonoid.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))) x y)) (HAdd.hAdd.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) y) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (instHAdd.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (AddZeroClass.toAdd.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (AddMonoid.toAddZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SubNegMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (AddGroup.toSubNegMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (AddCommGroup.toAddGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) _inst_4))))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))) x y)) (HAdd.hAdd.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) y) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (instHAdd.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddZeroClass.toAdd.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddMonoid.toAddZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubNegMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddGroup.toSubNegMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddCommGroup.toAddGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4))))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_add LieHom.map_addₓ'. -/
 @[simp]
 theorem map_add (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x + y) = f x + f y :=
@@ -459,7 +459,7 @@ theorem map_add (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x + y) = f x + f
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSub.hSub.{u2, u2, u2} L₁ L₁ L₁ (instHSub.{u2} L₁ (SubNegMonoid.toHasSub.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) x y)) (HSub.hSub.{u3, u3, u3} L₂ L₂ L₂ (instHSub.{u3} L₂ (SubNegMonoid.toHasSub.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) (HSub.hSub.{u2, u2, u2} L₁ L₁ L₁ (instHSub.{u2} L₁ (SubNegMonoid.toSub.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSub.hSub.{u2, u2, u2} L₁ L₁ L₁ (instHSub.{u2} L₁ (SubNegMonoid.toSub.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) x y)) (HSub.hSub.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) y) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (instHSub.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SubNegMonoid.toSub.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (AddGroup.toSubNegMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (AddCommGroup.toAddGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (HSub.hSub.{u2, u2, u2} L₁ L₁ L₁ (instHSub.{u2} L₁ (SubNegMonoid.toSub.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSub.hSub.{u2, u2, u2} L₁ L₁ L₁ (instHSub.{u2} L₁ (SubNegMonoid.toSub.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) x y)) (HSub.hSub.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) y) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (instHSub.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubNegMonoid.toSub.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddGroup.toSubNegMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddCommGroup.toAddGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_sub LieHom.map_subₓ'. -/
 @[simp]
 theorem map_sub (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x - y) = f x - f y :=
@@ -470,7 +470,7 @@ theorem map_sub (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x - y) = f x - f
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Neg.neg.{u2} L₁ (SubNegMonoid.toHasNeg.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))) x)) (Neg.neg.{u3} L₂ (SubNegMonoid.toHasNeg.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) (Neg.neg.{u2} L₁ (NegZeroClass.toNeg.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Neg.neg.{u2} L₁ (NegZeroClass.toNeg.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x)) (Neg.neg.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (NegZeroClass.toNeg.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) _inst_4)))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (Neg.neg.{u2} L₁ (NegZeroClass.toNeg.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Neg.neg.{u2} L₁ (NegZeroClass.toNeg.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x)) (Neg.neg.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (NegZeroClass.toNeg.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4)))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_neg LieHom.map_negₓ'. -/
 @[simp]
 theorem map_neg (f : L₁ →ₗ⁅R⁆ L₂) (x : L₁) : f (-x) = -f x :=
@@ -481,7 +481,7 @@ theorem map_neg (f : L₁ →ₗ⁅R⁆ L₂) (x : L₁) : f (-x) = -f x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toHasBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toHasBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) y) (LieRingModule.toBracket.{u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) y) _inst_4 (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) y) _inst_4) (lieRingSelfModule.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) _inst_4)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (y : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) y) (LieRingModule.toBracket.{u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) y) _inst_4 (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) y) _inst_4) (lieRingSelfModule.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_lie LieHom.map_lieₓ'. -/
 @[simp]
 theorem map_lie (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f ⁅x, y⁆ = ⁅f x, f y⁆ :=
@@ -492,7 +492,7 @@ theorem map_lie (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f ⁅x, y⁆ = ⁅f
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (OfNat.ofNat.{u2} L₁ 0 (OfNat.mk.{u2} L₁ 0 (Zero.zero.{u2} L₁ (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (SubNegMonoid.toAddMonoid.{u2} L₁ (AddGroup.toSubNegMonoid.{u2} L₁ (AddCommGroup.toAddGroup.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))))))) (OfNat.ofNat.{u3} L₂ 0 (OfNat.mk.{u3} L₂ 0 (Zero.zero.{u3} L₂ (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (SubNegMonoid.toAddMonoid.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) _inst_4))))))))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) (OfNat.ofNat.{u2} L₁ 0 (Zero.toOfNat0.{u2} L₁ (NegZeroClass.toZero.{u2} L₁ (SubNegZeroMonoid.toNegZeroClass.{u2} L₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} L₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} L₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))))))) _inst_4))))))))
 Case conversion may be inaccurate. Consider using '#align lie_hom.map_zero LieHom.map_zeroₓ'. -/
 @[simp]
 theorem map_zero (f : L₁ →ₗ⁅R⁆ L₂) : f 0 = 0 :=
@@ -510,7 +510,7 @@ def id : L₁ →ₗ⁅R⁆ L₁ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} ((fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)) (coeFn.{succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (LieHom.hasCoeToFun.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)) (id.{succ u2} L₁)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₁) a) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)) (id.{succ u2} L₁)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₁) a) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)) (id.{succ u2} L₁)
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_id LieHom.coe_idₓ'. -/
 @[simp]
 theorem coe_id : ((id : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
@@ -521,7 +521,7 @@ theorem coe_id : ((id : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} L₁ (coeFn.{succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (LieHom.hasCoeToFun.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) x) x
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₁) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) x) x
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₁) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.id.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) x) x
 Case conversion may be inaccurate. Consider using '#align lie_hom.id_apply LieHom.id_applyₓ'. -/
 theorem id_apply (x : L₁) : (id : L₁ →ₗ⁅R⁆ L₁) x = x :=
   rfl
@@ -535,7 +535,7 @@ instance : Zero (L₁ →ₗ⁅R⁆ L₂) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Eq.{max (succ u2) (succ u3)} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (OfNat.mk.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (OfNat.mk.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (OfNat.ofNat.{max u2 u3} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) 0 (OfNat.mk.{max u2 u3} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) 0 (Zero.zero.{max u2 u3} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Pi.instZero.{u2, u3} L₁ (fun (ᾰ : L₁) => L₂) (fun (i : L₁) => AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (SubNegMonoid.toAddMonoid.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.instZeroLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (OfNat.ofNat.{max u2 u3} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) a) 0 (Zero.toOfNat0.{max u2 u3} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) a) (Pi.instZero.{u2, u3} L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) a) (fun (i : L₁) => NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) i) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) i) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) i) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) i) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) i) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) i) _inst_4)))))))))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.instZeroLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (OfNat.ofNat.{max u2 u3} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) a) 0 (Zero.toOfNat0.{max u2 u3} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) a) (Pi.instZero.{u2, u3} L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) a) (fun (i : L₁) => NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) i) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) i) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) i) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) i) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) i) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) i) _inst_4)))))))))
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_zero LieHom.coe_zeroₓ'. -/
 @[norm_cast, simp]
 theorem coe_zero : ((0 : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = 0 :=
@@ -546,7 +546,7 @@ theorem coe_zero : ((0 : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (OfNat.mk.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.zero.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.hasZero.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) x) (OfNat.ofNat.{u3} L₂ 0 (OfNat.mk.{u3} L₂ 0 (Zero.zero.{u3} L₂ (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (SubNegMonoid.toAddMonoid.{u3} L₂ (AddGroup.toSubNegMonoid.{u3} L₂ (AddCommGroup.toAddGroup.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.instZeroLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) x) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) _inst_4))))))))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{max u2 u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.instZeroLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) x) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (NegZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (LieRing.toAddCommGroup.{u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) _inst_4))))))))
 Case conversion may be inaccurate. Consider using '#align lie_hom.zero_apply LieHom.zero_applyₓ'. -/
 theorem zero_apply (x : L₁) : (0 : L₁ →ₗ⁅R⁆ L₂) x = 0 :=
   rfl
@@ -560,7 +560,7 @@ instance : One (L₁ →ₗ⁅R⁆ L₁) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} ((fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (OfNat.mk.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.one.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.hasOne.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))))) (coeFn.{succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (LieHom.hasCoeToFun.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (OfNat.mk.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.one.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.hasOne.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))))) (id.{succ u2} L₁)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₁) a) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.toOfNat1.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.instOneLieHom.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))) (id.{succ u2} L₁)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2], Eq.{succ u2} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₁) a) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.toOfNat1.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.instOneLieHom.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))) (id.{succ u2} L₁)
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_one LieHom.coe_oneₓ'. -/
 @[simp]
 theorem coe_one : ((1 : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
@@ -571,7 +571,7 @@ theorem coe_one : ((1 : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} L₁ (coeFn.{succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (fun (_x : LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => L₁ -> L₁) (LieHom.hasCoeToFun.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (OfNat.mk.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.one.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.hasOne.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))) x) x
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₁) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.toOfNat1.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.instOneLieHom.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))) x) x
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] (x : L₁), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₁) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₁) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.toOfNat1.{u2} (LieHom.{u1, u2, u2} R L₁ L₁ _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (LieHom.instOneLieHom.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))) x) x
 Case conversion may be inaccurate. Consider using '#align lie_hom.one_apply LieHom.one_applyₓ'. -/
 theorem one_apply (x : L₁) : (1 : L₁ →ₗ⁅R⁆ L₁) x = x :=
   rfl
@@ -584,7 +584,7 @@ instance : Inhabited (L₁ →ₗ⁅R⁆ L₂) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Function.Injective.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (L₁ -> L₂) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (ᾰ : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Function.Injective.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (L₁ -> L₂) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (ᾰ : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) ᾰ) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4], Function.Injective.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (L₁ -> L₂) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (ᾰ : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) ᾰ) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_injective LieHom.coe_injectiveₓ'. -/
 theorem coe_injective : @Function.Injective (L₁ →ₗ⁅R⁆ L₂) (L₁ → L₂) coeFn := by
   rintro ⟨⟨f, _⟩⟩ ⟨⟨g, _⟩⟩ ⟨h⟩ <;> congr
@@ -594,7 +594,7 @@ theorem coe_injective : @Function.Injective (L₁ →ₗ⁅R⁆ L₂) (L₁ →
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (forall (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x)) -> (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x)) -> (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x)) -> (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g)
 Case conversion may be inaccurate. Consider using '#align lie_hom.ext LieHom.extₓ'. -/
 @[ext]
 theorem ext {f g : L₁ →ₗ⁅R⁆ L₂} (h : ∀ x, f x = g x) : f = g :=
@@ -605,7 +605,7 @@ theorem ext {f g : L₁ →ₗ⁅R⁆ L₂} (h : ∀ x, f x = g x) : f = g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, Iff (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) (forall (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, Iff (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, Iff (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.ext_iff LieHom.ext_iffₓ'. -/
 theorem ext_iff {f g : L₁ →ₗ⁅R⁆ L₂} : f = g ↔ ∀ x, f x = g x :=
   ⟨by
@@ -617,7 +617,7 @@ theorem ext_iff {f g : L₁ →ₗ⁅R⁆ L₂} : f = g ↔ ∀ x, f x = g x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) -> (forall (x : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) -> (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) -> (forall (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.congr_fun LieHom.congr_funₓ'. -/
 theorem congr_fun {f g : L₁ →ₗ⁅R⁆ L₂} (h : f = g) (x : L₁) : f x = g x :=
   h ▸ rfl
@@ -627,7 +627,7 @@ theorem congr_fun {f g : L₁ →ₗ⁅R⁆ L₂} (h : f = g) (x : L₁) : f x =
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toHasAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toHasAdd.{u3} L₂ 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 but is expected to have type
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(x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) x))) (h₃ : forall {x : L₁} {y : L₁}, Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂)) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂)) x) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂)) y))), Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂) h₃) f
 Case conversion may be inaccurate. Consider using '#align lie_hom.mk_coe LieHom.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) = f :=
@@ -640,7 +640,7 @@ theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁,
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toHasAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toHasAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (f (SMul.smul.{u1, u2} R L₁ (SMulZeroClass.toHasSmul.{u1, u2} R L₁ (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R L₁ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))))) r x)) (SMul.smul.{u1, u3} R L₂ (SMulZeroClass.toHasSmul.{u1, u3} R L₂ (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R L₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R L₂ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (Module.toMulActionWithZero.{u1, u3} R L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5))))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) r) (f x))) (h₃ : forall {x : L₁} {y : L₁}, Eq.{succ u3} L₂ (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toHasBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toHasBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R 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(Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) y))), Eq.{max (succ u2) (succ u3)} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) h₃)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) h₃)) f
 but is expected to have type
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=> R) r) L₂ (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (SMulWithZero.toSMulZeroClass.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) L₂ (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) L₂ (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ 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(NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) r) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} 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(LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) 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(Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) x) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) y))), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂) h₃)) f
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ 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=> R) r) L₂ (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (SMulWithZero.toSMulZeroClass.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) L₂ (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ 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(NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) r) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) x))) (h₃ : forall {x : L₁} {y : L₁}, Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) x) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) y))), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂) h₃)) f
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_mk LieHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : L₁ → L₂) (h₁ h₂ h₃) : ((⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = f :=
@@ -661,7 +661,7 @@ def comp (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) : L₁ →
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u4} L₃ (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (fun (_x : LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) => L₁ -> L₃) (LieHom.hasCoeToFun.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g) x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) => L₂ -> L₃) (LieHom.hasCoeToFun.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₃) x) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) L₂ (fun (_x : L₂) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₂) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₃) x) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) L₂ (fun (_x : L₂) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₂) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.comp_apply LieHom.comp_applyₓ'. -/
 theorem comp_apply (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) (x : L₁) : f.comp g x = f (g x) :=
   rfl
@@ -671,7 +671,7 @@ theorem comp_apply (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) (
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u4)} ((fun (_x : LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) => L₁ -> L₃) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (fun (_x : LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) => L₁ -> L₃) (LieHom.hasCoeToFun.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Function.comp.{succ u2, succ u3, succ u4} L₁ L₂ L₃ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) => L₂ -> L₃) (LieHom.hasCoeToFun.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u4)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₃) a) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Function.comp.{succ u2, succ u3, succ u4} L₁ L₂ L₃ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) L₂ (fun (_x : L₂) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₂) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} {L₃ : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : LieRing.{u4} L₃] [_inst_7 : LieAlgebra.{u1, u4} R L₃ _inst_1 _inst_6] (f : LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u4)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₃) a) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u2, u4} R L₁ L₃ _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (LieHom.comp.{u1, u2, u3, u4} R L₁ L₂ L₃ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Function.comp.{succ u2, succ u3, succ u4} L₁ L₂ L₃ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) L₂ (fun (_x : L₂) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₂) => L₃) _x) (LieHom.instFunLikeLieHom.{u1, u3, u4} R L₂ L₃ _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g))
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_comp LieHom.coe_compₓ'. -/
 @[norm_cast, simp]
 theorem coe_comp (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) : (f.comp g : L₁ → L₃) = f ∘ g :=
@@ -708,7 +708,7 @@ theorem id_comp (f : L₁ →ₗ⁅R⁆ L₂) : (id : L₂ →ₗ⁅R⁆ L₂).c
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : L₂ -> L₁), (Function.LeftInverse.{succ u2, succ u3} L₁ L₂ g (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (Function.RightInverse.{succ u2, succ u3} L₁ L₂ g (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (LieHom.{u1, u3, u2} R L₂ L₁ _inst_1 _inst_4 _inst_5 _inst_2 _inst_3)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : L₂ -> L₁), (Function.LeftInverse.{succ u2, succ u3} L₁ L₂ g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (Function.RightInverse.{succ u2, succ u3} L₁ L₂ g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (LieHom.{u1, u3, u2} R L₂ L₁ _inst_1 _inst_4 _inst_5 _inst_2 _inst_3)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : L₂ -> L₁), (Function.LeftInverse.{succ u2, succ u3} L₁ L₂ g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (Function.RightInverse.{succ u2, succ u3} L₁ L₂ g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (LieHom.{u1, u3, u2} R L₂ L₁ _inst_1 _inst_4 _inst_5 _inst_2 _inst_3)
 Case conversion may be inaccurate. Consider using '#align lie_hom.inverse LieHom.inverseₓ'. -/
 /-- The inverse of a bijective morphism is a morphism. -/
 def inverse (f : L₁ →ₗ⁅R⁆ L₂) (g : L₂ → L₁) (h₁ : Function.LeftInverse g f)
@@ -754,7 +754,7 @@ def LieRingModule.compLieHom : LieRingModule L₁ M
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} (M : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : AddCommGroup.{u4} M] [_inst_7 : LieRingModule.{u3, u4} L₂ M _inst_4 _inst_6] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (m : M), Eq.{succ u4} M (Bracket.bracket.{u2, u4} L₁ M (LieRingModule.toHasBracket.{u2, u4} L₁ M _inst_2 _inst_6 (LieRingModule.compLieHom.{u1, u2, u3, u4} R L₁ L₂ M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f)) x m) (Bracket.bracket.{u3, u4} L₂ M (LieRingModule.toHasBracket.{u3, u4} L₂ M _inst_4 _inst_6 _inst_7) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) m)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} (M : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : AddCommGroup.{u4} M] [_inst_7 : LieRingModule.{u3, u4} L₂ M _inst_4 _inst_6] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (m : M), Eq.{succ u4} M (Bracket.bracket.{u2, u4} L₁ M (LieRingModule.toBracket.{u2, u4} L₁ M _inst_2 _inst_6 (LieRingModule.compLieHom.{u1, u2, u3, u4} R L₁ L₂ M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f)) x m) (Bracket.bracket.{u3, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) M (LieRingModule.toBracket.{u3, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) x) M _inst_4 _inst_6 _inst_7) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) m)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} (M : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] [_inst_6 : AddCommGroup.{u4} M] [_inst_7 : LieRingModule.{u3, u4} L₂ M _inst_4 _inst_6] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₁) (m : M), Eq.{succ u4} M (Bracket.bracket.{u2, u4} L₁ M (LieRingModule.toBracket.{u2, u4} L₁ M _inst_2 _inst_6 (LieRingModule.compLieHom.{u1, u2, u3, u4} R L₁ L₂ M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f)) x m) (Bracket.bracket.{u3, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) M (LieRingModule.toBracket.{u3, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) x) M _inst_4 _inst_6 _inst_7) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) m)
 Case conversion may be inaccurate. Consider using '#align lie_ring_module.comp_lie_hom_apply LieRingModule.compLieHom_applyₓ'. -/
 theorem LieRingModule.compLieHom_apply (x : L₁) (m : M) :
     haveI := LieRingModule.compLieHom M f
@@ -829,7 +829,7 @@ instance : CoeFun (L₁ ≃ₗ⁅R⁆ L₂) fun _ => L₁ → L₂ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Eq.{max (succ u2) (succ u3)} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.hasCoeToLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6)))) e)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.hasCoeToLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6)))) e)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieEquiv.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6) e)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : L₁) => L₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (LieEquiv.instEquivLikeLieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6))) e)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : L₁) => L₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u3), succ u2, succ u3} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ L₂ (LieEquiv.instEquivLikeLieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6))) e)
 Case conversion may be inaccurate. Consider using '#align lie_equiv.coe_to_lie_hom LieEquiv.coe_to_lieHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_lieHom (e : L₁ ≃ₗ⁅R⁆ L₂) : ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = e :=
@@ -1019,7 +1019,7 @@ theorem symm_trans (e₁ : L₁ ≃ₗ⁅R⁆ L₂) (e₂ : L₂ ≃ₗ⁅R⁆ L
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Bijective.{succ u2, succ u3} L₁ L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.hasCoeToLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6)))) e))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Bijective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Bijective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
 Case conversion may be inaccurate. Consider using '#align lie_equiv.bijective LieEquiv.bijectiveₓ'. -/
 protected theorem bijective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Bijective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
   e.toLinearEquiv.Bijective
@@ -1029,7 +1029,7 @@ protected theorem bijective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Bijective (
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Injective.{succ u2, succ u3} L₁ L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.hasCoeToLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6)))) e))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Injective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Injective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
 Case conversion may be inaccurate. Consider using '#align lie_equiv.injective LieEquiv.injectiveₓ'. -/
 protected theorem injective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Injective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
   e.toLinearEquiv.Injective
@@ -1039,7 +1039,7 @@ protected theorem injective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Injective (
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Surjective.{succ u2, succ u3} L₁ L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.hasCoeToLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6)))) e))
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Surjective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), Function.Surjective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6 e))
 Case conversion may be inaccurate. Consider using '#align lie_equiv.surjective LieEquiv.surjectiveₓ'. -/
 protected theorem surjective (e : L₁ ≃ₗ⁅R⁆ L₂) :
     Function.Surjective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
@@ -1050,7 +1050,7 @@ protected theorem surjective (e : L₁ ≃ₗ⁅R⁆ L₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), (Function.Bijective.{succ u2, succ u3} L₁ L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) f)) -> (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6)
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), (Function.Bijective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) f)) -> (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6)
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_6 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6), (Function.Bijective.{succ u2, succ u3} L₁ L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3916 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6) f)) -> (LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_5 _inst_3 _inst_6)
 Case conversion may be inaccurate. Consider using '#align lie_equiv.of_bijective LieEquiv.ofBijectiveₓ'. -/
 /-- A bijective morphism of Lie algebras yields an equivalence of Lie algebras. -/
 @[simps]
@@ -1110,7 +1110,7 @@ instance : CoeFun (M →ₗ⁅R,L⁆ N) fun _ => M → N :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u4)} ((fun (_x : 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(Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (LieModuleHom.LinearMap.hasCoe.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} 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(AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 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_inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_to_linear_map LieModuleHom.coe_to_linearMapₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
@@ -1121,7 +1121,7 @@ theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M 
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (c : R) (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) _inst_7)))) c x)) (SMul.smul.{u1, u4} R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8)))) c (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : R) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) _inst_4))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) _inst_4) _inst_7))))) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : R) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) _inst_4))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) _inst_4) _inst_7))))) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_smul LieModuleHom.map_smulₓ'. -/
 @[simp]
 theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c • f x :=
@@ -1132,7 +1132,7 @@ theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c •
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M) (y : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4)))))) x y)) (HAdd.hAdd.{u4, u4, u4} N N N (instHAdd.{u4} N (AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_add LieModuleHom.map_addₓ'. -/
 @[simp]
 theorem map_add (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x + y) = f x + f y :=
@@ -1143,7 +1143,7 @@ theorem map_add (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x + y) = f x + f y :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M) (y : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toHasSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4)))) x y)) (HSub.hSub.{u4, u4, u4} N N N (instHSub.{u4} N (SubNegMonoid.toHasSub.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_sub LieModuleHom.map_subₓ'. -/
 @[simp]
 theorem map_sub (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x - y) = f x - f y :=
@@ -1154,7 +1154,7 @@ theorem map_sub (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x - y) = f x - f y :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (Neg.neg.{u3} M (SubNegMonoid.toHasNeg.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4))) x)) (Neg.neg.{u4} N (SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_neg LieModuleHom.map_negₓ'. -/
 @[simp]
 theorem map_neg (f : M →ₗ⁅R,L⁆ N) (x : M) : f (-x) = -f x :=
@@ -1165,7 +1165,7 @@ theorem map_neg (f : M →ₗ⁅R,L⁆ N) (x : M) : f (-x) = -f x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : L) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : L) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) _inst_2 _inst_4 _inst_10) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : L) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) _inst_2 _inst_4 _inst_10) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_lie LieModuleHom.map_lieₓ'. -/
 @[simp]
 theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x, f m⁆ :=
@@ -1176,7 +1176,7 @@ theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x,
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R 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_inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (fun (_x : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) => M -> (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9)) (LieModuleHom.hasCoeToFun.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) n) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) => N -> P) (LinearMap.hasCoeToFun.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (coeFn.{max (succ u3) (succ (max u4 u5)), max (succ u3) (succ (max u4 u5))} (LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (fun (_x : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) => M -> (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9)) (LieModuleHom.hasCoeToFun.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) f m) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x n)))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_14 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (_inst_15 : LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 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+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_14 : LieModule.{u1, u2, u5} R L P 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(instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 x) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) f m)))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_lie₂ LieModuleHom.map_lie₂ₓ'. -/
 theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N) :
     ⁅x, f m n⁆ = f ⁅x, m⁆ n + f m ⁅x, n⁆ := by simp only [sub_add_cancel, map_lie, LieHom.lie_apply]
@@ -1186,7 +1186,7 @@ theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (OfNat.ofNat.{u3} M 0 (OfNat.mk.{u3} M 0 (Zero.zero.{u3} M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4))))))))) (OfNat.ofNat.{u4} N 0 (OfNat.mk.{u4} N 0 (Zero.zero.{u4} N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) _inst_4)))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) _inst_4)))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_zero LieModuleHom.map_zeroₓ'. -/
 @[simp]
 theorem map_zero (f : M →ₗ⁅R,L⁆ N) : f 0 = 0 :=
@@ -1208,7 +1208,7 @@ def id : M →ₗ⁅R,L⁆ M :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10], Eq.{succ u3} ((fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13)) (coeFn.{succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13)) (id.{succ u3} M)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], Eq.{succ u3} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => M) a) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7)) (id.{succ u3} M)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], Eq.{succ u3} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => M) a) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7)) (id.{succ u3} M)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_id LieModuleHom.coe_idₓ'. -/
 @[simp]
 theorem coe_id : ((id : M →ₗ⁅R,L⁆ M) : M → M) = id :=
@@ -1219,7 +1219,7 @@ theorem coe_id : ((id : M →ₗ⁅R,L⁆ M) : M → M) = id :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] (x : M), Eq.{succ u3} M (coeFn.{succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13) x) x
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] (_inst_10 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => M) _inst_10) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7) _inst_10) _inst_10
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] (_inst_10 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => M) _inst_10) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7) _inst_10) _inst_10
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.id_apply LieModuleHom.id_applyₓ'. -/
 theorem id_apply (x : M) : (id : M →ₗ⁅R,L⁆ M) x = x :=
   rfl
@@ -1233,7 +1233,7 @@ instance : Zero (M →ₗ⁅R,L⁆ N) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))))) (OfNat.ofNat.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) 0 (OfNat.mk.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) 0 (Zero.zero.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) (Pi.instZero.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)))) (OfNat.ofNat.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) 0 (Zero.toOfNat0.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (Pi.instZero.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (fun (i : M) => NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_4))))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)))) (OfNat.ofNat.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) 0 (Zero.toOfNat0.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (Pi.instZero.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (fun (i : M) => NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_4))))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_zero LieModuleHom.coe_zeroₓ'. -/
 @[norm_cast, simp]
 theorem coe_zero : ((0 : M →ₗ⁅R,L⁆ N) : M → N) = 0 :=
@@ -1244,7 +1244,7 @@ theorem coe_zero : ((0 : M →ₗ⁅R,L⁆ N) : M → N) = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) m) (OfNat.ofNat.{u4} N 0 (OfNat.mk.{u4} N 0 (Zero.zero.{u4} N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_11) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_11) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_11) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_11) _inst_4)))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_11) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_11) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_11) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_11) _inst_4)))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.zero_apply LieModuleHom.zero_applyₓ'. -/
 theorem zero_apply (m : M) : (0 : M →ₗ⁅R,L⁆ N) m = 0 :=
   rfl
@@ -1261,7 +1261,7 @@ instance : Inhabited (M →ₗ⁅R,L⁆ N) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Function.Injective.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (M -> N) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (ᾰ : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Function.Injective.{max (succ u4) (succ u3), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (M -> N) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Function.Injective.{max (succ u4) (succ u3), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (M -> N) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_injective LieModuleHom.coe_injectiveₓ'. -/
 theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeFn :=
   by
@@ -1273,7 +1273,7 @@ theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeF
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, (forall (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.ext LieModuleHom.extₓ'. -/
 @[ext]
 theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
@@ -1284,7 +1284,7 @@ theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g) (forall (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.ext_iff LieModuleHom.ext_iffₓ'. -/
 theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
   ⟨by
@@ -1296,7 +1296,7 @@ theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g) -> (forall (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) -> (forall (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 f))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) -> (forall (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 f))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.congr_fun LieModuleHom.congr_funₓ'. -/
 theorem congr_fun {f g : M →ₗ⁅R,L⁆ N} (h : f = g) (x : M) : f x = g x :=
   h ▸ rfl
@@ -1319,7 +1319,7 @@ theorem mk_coe (f : M →ₗ⁅R,L⁆ N) (h) : (⟨f, h⟩ : M →ₗ⁅R,L⁆ N
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (h : forall {x : L} {m : M}, Eq.{succ u4} N (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f m))), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f h)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f h)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_mk LieModuleHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M → N) = f :=
@@ -1359,7 +1359,7 @@ def comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : M →ₗ⁅R,L⁆
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u5} P (coeFn.{max (succ u3) (succ u5), max (succ u3) (succ u5)} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g) m) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) => N -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) f (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) (_inst_14 : M), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => P) _inst_14) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13) _inst_14) (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) (_inst_14 : M), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => P) _inst_14) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13) _inst_14) (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.comp_apply LieModuleHom.comp_applyₓ'. -/
 theorem comp_apply (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) (m : M) : f.comp g m = f (g m) :=
   rfl
@@ -1369,7 +1369,7 @@ theorem comp_apply (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) (m : M) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u5)} ((fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g)) (coeFn.{max (succ u3) (succ u5), max (succ u3) (succ u5)} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g)) (Function.comp.{succ u3, succ u4, succ u5} M N P (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) => N -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) f) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10), Eq.{max (succ u3) (succ u5)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => P) a) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13)) (Function.comp.{succ u3, succ u4, succ u5} M N P (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10), Eq.{max (succ u3) (succ u5)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => P) a) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13)) (Function.comp.{succ u3, succ u4, succ u5} M N P (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_comp LieModuleHom.coe_compₓ'. -/
 @[norm_cast, simp]
 theorem coe_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : (f.comp g : M → P) = f ∘ g :=
@@ -1392,7 +1392,7 @@ theorem coe_linearMap_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N g (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) -> (Function.RightInverse.{succ u3, succ u4} M N g (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_3 _inst_5 _inst_4 _inst_8 _inst_7 _inst_11 _inst_10 _inst_14 _inst_13)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (Function.RightInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (Function.RightInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.inverse LieModuleHom.inverseₓ'. -/
 /-- The inverse of a bijective morphism of Lie modules is a morphism of Lie modules. -/
 def inverse (f : M →ₗ⁅R,L⁆ N) (g : N → M) (h₁ : Function.LeftInverse g f)
@@ -1418,7 +1418,7 @@ instance : Neg (M →ₗ⁅R,L⁆ N) where neg f := { -(f : M →ₗ[R] N) with
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasAdd.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)) f g)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (M -> N) (M -> N) (M -> N) (instHAdd.{max u3 u4} (M -> N) (Pi.instAdd.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (instHAdd.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (Pi.instAdd.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (fun (i : M) => AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_4))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (instHAdd.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (Pi.instAdd.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (fun (i : M) => AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_4))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_add LieModuleHom.coe_addₓ'. -/
 @[norm_cast, simp]
 theorem coe_add (f g : M →ₗ⁅R,L⁆ N) : ⇑(f + g) = f + g :=
@@ -1429,7 +1429,7 @@ theorem coe_add (f g : M →ₗ⁅R,L⁆ N) : ⇑(f + g) = f + g :=
 lean 3 declaration is
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 but is expected to have type
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+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.add_apply LieModuleHom.add_applyₓ'. -/
 theorem add_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f + g) m = f m + g m :=
   rfl
@@ -1439,7 +1439,7 @@ theorem add_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f + g) m = f m + g m :=
 lean 3 declaration is
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 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (instHSub.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (Pi.instSub.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (fun (i : M) => SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (instHSub.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (Pi.instSub.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (fun (i : M) => SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_sub LieModuleHom.coe_subₓ'. -/
 @[norm_cast, simp]
 theorem coe_sub (f g : M →ₗ⁅R,L⁆ N) : ⇑(f - g) = f - g :=
@@ -1450,7 +1450,7 @@ theorem coe_sub (f g : M →ₗ⁅R,L⁆ N) : ⇑(f - g) = f - g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSub.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)) f g) m) (HSub.hSub.{u4, u4, u4} N N N (instHSub.{u4} N (SubNegMonoid.toHasSub.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.sub_apply LieModuleHom.sub_applyₓ'. -/
 theorem sub_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f - g) m = f m - g m :=
   rfl
@@ -1460,7 +1460,7 @@ theorem sub_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f - g) m = f m - g m :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNeg.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) (Neg.neg.{max u3 u4} (M -> N) (Pi.instNeg.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) (Neg.neg.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (Pi.instNeg.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (fun (i : M) => NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) (Neg.neg.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (Pi.instNeg.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (fun (i : M) => NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_neg LieModuleHom.coe_negₓ'. -/
 @[norm_cast, simp]
 theorem coe_neg (f : M →ₗ⁅R,L⁆ N) : ⇑(-f) = -f :=
@@ -1471,7 +1471,7 @@ theorem coe_neg (f : M →ₗ⁅R,L⁆ N) : ⇑(-f) = -f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNeg.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f) m) (Neg.neg.{u4} N (SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) _inst_13) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) _inst_13) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.neg_apply LieModuleHom.neg_applyₓ'. -/
 theorem neg_apply (f : M →ₗ⁅R,L⁆ N) (m : M) : (-f) m = -f m :=
   rfl
@@ -1491,7 +1491,7 @@ instance hasNsmul : SMul ℕ (M →ₗ⁅R,L⁆ N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (n : Nat) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) n f)) (SMul.smul.{0, max u3 u4} Nat (M -> N) (Function.hasSMul.{u3, 0, u4} M Nat N (AddMonoid.SMul.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))) n (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (instHSMul.{0, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (AddMonoid.SMul.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (Pi.addMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (fun (i : M) => SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_4)))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (instHSMul.{0, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (AddMonoid.SMul.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (Pi.addMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (fun (i : M) => SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_4)))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_nsmul LieModuleHom.coe_nsmulₓ'. -/
 @[norm_cast, simp]
 theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • f :=
@@ -1502,7 +1502,7 @@ theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • f :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (n : Nat) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) n f) m) (SMul.smul.{0, u4} Nat N (AddMonoid.SMul.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) n (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (instHSMul.{0, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddMonoid.SMul.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (instHSMul.{0, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddMonoid.SMul.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.nsmul_apply LieModuleHom.nsmul_applyₓ'. -/
 theorem nsmul_apply (n : ℕ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (n • f) m = n • f m :=
   rfl
@@ -1522,7 +1522,7 @@ instance hasZsmul : SMul ℤ (M →ₗ⁅R,L⁆ N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (z : Int) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) z f)) (SMul.smul.{0, max u3 u4} Int (M -> N) (Function.hasSMul.{u3, 0, u4} M Int N (SubNegMonoid.SMulInt.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) z (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (instHSMul.{0, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (SubNegMonoid.SMulInt.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (Pi.subNegMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (fun (i : M) => AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (instHSMul.{0, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (SubNegMonoid.SMulInt.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (Pi.subNegMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (fun (i : M) => AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_zsmul LieModuleHom.coe_zsmulₓ'. -/
 @[norm_cast, simp]
 theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • f :=
@@ -1533,7 +1533,7 @@ theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • f :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (z : Int) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) z f) m) (SMul.smul.{0, u4} Int N (SubNegMonoid.SMulInt.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) z (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (instHSMul.{0, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubNegMonoid.SMulInt.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) _inst_4)))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (instHSMul.{0, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (SubNegMonoid.SMulInt.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) _inst_14) _inst_4)))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.zsmul_apply LieModuleHom.zsmul_applyₓ'. -/
 theorem zsmul_apply (z : ℤ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (z • f) m = z • f m :=
   rfl
@@ -1549,7 +1549,7 @@ instance : SMul R (M →ₗ⁅R,L⁆ N) where smul t f := { t • (f : M →ₗ[
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (t : R) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) t f)) (SMul.smul.{u1, max u3 u4} R (M -> N) (Function.hasSMul.{u3, u1, u4} M R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8))))) t (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t)) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (instHSMul.{u1, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (Pi.instSMul.{u3, u4, u1} M R (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (fun (i : M) => SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_5) _inst_8)))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t)) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (instHSMul.{u1, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (Pi.instSMul.{u3, u4, u1} M R (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (fun (i : M) => SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) i) _inst_5) _inst_8)))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_smul LieModuleHom.coe_smulₓ'. -/
 @[norm_cast, simp]
 theorem coe_smul (t : R) (f : M →ₗ⁅R,L⁆ N) : ⇑(t • f) = t • f :=
@@ -1560,7 +1560,7 @@ theorem coe_smul (t : R) (f : M →ₗ⁅R,L⁆ N) : ⇑(t • f) = t • f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (t : R) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) t f) m) (SMul.smul.{u1, u4} R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8)))) t (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t) f) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) _inst_5) _inst_8))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t f))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t) f) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) f) _inst_5) _inst_8))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t f))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.smul_apply LieModuleHom.smul_applyₓ'. -/
 theorem smul_apply (t : R) (f : M →ₗ⁅R,L⁆ N) (m : M) : (t • f) m = t • f m :=
   rfl
@@ -1664,7 +1664,7 @@ theorem injective (e : M ≃ₗ⁅R,L⁆ N) : Function.Injective e :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (inv_fun : N -> M) (h₁ : Function.LeftInverse.{succ u3, succ u4} M N inv_fun (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f))) (h₂ : Function.RightInverse.{succ u3, succ u4} M N inv_fun (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f))), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f inv_fun h₁ h₂)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f inv_fun h₁ h₂)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M) (_inst_14 : Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))) (f : Function.RightInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M) (_inst_14 : Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))) (f : Function.RightInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_mk LieModuleEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ⁅R,L⁆ N) (inv_fun h₁ h₂) :
@@ -1676,7 +1676,7 @@ theorem coe_mk (f : M →ₗ⁅R,L⁆ N) (inv_fun h₁ h₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (e : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleEquiv.hasCoeToLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleEquiv.hasCoeToLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) e)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleEquiv.toLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10443 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleEquiv.toLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_to_lie_module_hom LieModuleEquiv.coe_to_lieModuleHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_lieModuleHom (e : M ≃ₗ⁅R,L⁆ N) : ((e : M →ₗ⁅R,L⁆ N) : M → N) = e :=

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

@@ -403,13 +403,11 @@ instance : Coe (L₁ →ₗ⁅R⁆ L₂) (L₁ →ₗ[R] L₂) :=
 instance : CoeFun (L₁ →ₗ⁅R⁆ L₂) fun _ => L₁ → L₂ :=
   ⟨fun f => f.toLinearMap.toFun⟩
 
-#print LieHom.Simps.apply /-
 /-- See Note [custom simps projection]. We need to specify this projection explicitly in this case,
   because it is a composition of multiple projections. -/
 def Simps.apply (h : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂ :=
   h
 #align lie_hom.simps.apply LieHom.Simps.apply
--/
 
 initialize_simps_projections LieHom (to_linear_map_to_fun → apply)
 
@@ -629,7 +627,7 @@ theorem congr_fun {f g : L₁ →ₗ⁅R⁆ L₂} (h : f = g) (x : L₁) : f x =
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toHasAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toHasAdd.{u3} L₂ 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 but is expected to have type
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+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toAdd.{u3} L₂ 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_inst_2 _inst_3)))))) r x)) (HSMul.hSMul.{u1, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) L₂ L₂ (instHSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) L₂ (SMulZeroClass.toSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) L₂ (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (SMulWithZero.toSMulZeroClass.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) L₂ (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) L₂ (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (Module.toMulActionWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) r) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) x))) (h₃ : forall {x : L₁} {y : L₁}, Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂)) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂)) x) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂)) y))), Eq.{max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (a : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) a) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂) h₃) f
 Case conversion may be inaccurate. Consider using '#align lie_hom.mk_coe LieHom.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) = f :=
@@ -642,7 +640,7 @@ theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁,
 lean 3 declaration is
   forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toHasAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toHasAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (f (SMul.smul.{u1, u2} R L₁ (SMulZeroClass.toHasSmul.{u1, u2} R L₁ (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R L₁ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))))) r x)) (SMul.smul.{u1, u3} R L₂ (SMulZeroClass.toHasSmul.{u1, u3} R L₂ (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R L₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R L₂ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (Module.toMulActionWithZero.{u1, u3} R L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5))))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) r) (f x))) (h₃ : forall {x : L₁} {y : L₁}, Eq.{succ u3} L₂ (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toHasBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toHasBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) x) (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) y))), Eq.{max (succ u2) (succ u3)} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) h₃)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) h₃)) f
 but is expected to have type
-  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) (HSMul.hSMul.{u1, u2, u2} R L₁ L₁ (instHSMul.{u1, u2} R L₁ (SMulZeroClass.toSMul.{u1, u2} R L₁ (AddMonoid.toZero.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L₁ (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (AddMonoid.toZero.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddMonoid.toZero.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3)))))) r x)) (HSMul.hSMul.{u1, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) L₂ L₂ (instHSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) L₂ (SMulZeroClass.toSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) L₂ (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (SMulWithZero.toSMulZeroClass.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) L₂ (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) L₂ (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (Module.toMulActionWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} 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(AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) y))), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂) h₃)) f
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ 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=> R) r) L₂ (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (SMulWithZero.toSMulZeroClass.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) L₂ (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) L₂ (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddMonoid.toZero.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))) (Module.toMulActionWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) r) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) x))) (h₃ : forall {x : L₁} {y : L₁}, Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) x) (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (LinearMap.toAddHom.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂)) y))), Eq.{max (succ u2) (succ u3)} (forall (a : L₁), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L₁ (fun (_x : L₁) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3911 : L₁) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂) h₃)) f
 Case conversion may be inaccurate. Consider using '#align lie_hom.coe_mk LieHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : L₁ → L₂) (h₁ h₂ h₃) : ((⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = f :=
@@ -1112,7 +1110,7 @@ instance : CoeFun (M →ₗ⁅R,L⁆ N) fun _ => M → N :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u4)} ((fun (_x : 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(AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (LieModuleHom.LinearMap.hasCoe.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} 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(AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 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(coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (LieModuleHom.LinearMap.hasCoe.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_to_linear_map LieModuleHom.coe_to_linearMapₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
@@ -1123,7 +1121,7 @@ theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M 
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (c : R) (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) _inst_7)))) c x)) (SMul.smul.{u1, u4} R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8)))) c (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : R) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_4))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_4) _inst_7))))) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : R) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) _inst_4))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) _inst_4) _inst_7))))) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_smul LieModuleHom.map_smulₓ'. -/
 @[simp]
 theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c • f x :=
@@ -1134,7 +1132,7 @@ theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c •
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M) (y : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4)))))) x y)) (HAdd.hAdd.{u4, u4, u4} N N N (instHAdd.{u4} N (AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_add LieModuleHom.map_addₓ'. -/
 @[simp]
 theorem map_add (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x + y) = f x + f y :=
@@ -1145,7 +1143,7 @@ theorem map_add (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x + y) = f x + f y :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M) (y : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toHasSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4)))) x y)) (HSub.hSub.{u4, u4, u4} N N N (instHSub.{u4} N (SubNegMonoid.toHasSub.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_sub LieModuleHom.map_subₓ'. -/
 @[simp]
 theorem map_sub (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x - y) = f x - f y :=
@@ -1156,7 +1154,7 @@ theorem map_sub (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x - y) = f x - f y :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (Neg.neg.{u3} M (SubNegMonoid.toHasNeg.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4))) x)) (Neg.neg.{u4} N (SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_neg LieModuleHom.map_negₓ'. -/
 @[simp]
 theorem map_neg (f : M →ₗ⁅R,L⁆ N) (x : M) : f (-x) = -f x :=
@@ -1167,7 +1165,7 @@ theorem map_neg (f : M →ₗ⁅R,L⁆ N) (x : M) : f (-x) = -f x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : L) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : L) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_2 _inst_4 _inst_10) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : L) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) _inst_2 _inst_4 _inst_10) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_lie LieModuleHom.map_lieₓ'. -/
 @[simp]
 theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x, f m⁆ :=
@@ -1178,7 +1176,7 @@ theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x,
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (x : L) (m : M) (n : N), Eq.{succ u5} P (Bracket.bracket.{u2, u5} L P (LieRingModule.toHasBracket.{u2, u5} L P _inst_2 _inst_6 _inst_12) x (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) => N -> P) (LinearMap.hasCoeToFun.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (coeFn.{max (succ u3) (succ (max u4 u5)), max (succ u3) (succ (max u4 u5))} (LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (fun (_x : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} 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u4 u5))} (LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) 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R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (fun (_x : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) => M -> (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9)) (LieModuleHom.hasCoeToFun.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) f m) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x n)))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_14 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (_inst_15 : LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) (f : L) (x : M) (m : N), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) m) (Bracket.bracket.{u2, u5} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) m) (LieRingModule.toBracket.{u2, u5} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) m) _inst_2 _inst_6 _inst_12) f (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) x) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u5), succ u3, max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R 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(instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 x) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) f m)))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_14 : LieModule.{u1, u2, u5} R L P 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(CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 x) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) f m)))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_lie₂ LieModuleHom.map_lie₂ₓ'. -/
 theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N) :
     ⁅x, f m n⁆ = f ⁅x, m⁆ n + f m ⁅x, n⁆ := by simp only [sub_add_cancel, map_lie, LieHom.lie_apply]
@@ -1188,7 +1186,7 @@ theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (OfNat.ofNat.{u3} M 0 (OfNat.mk.{u3} M 0 (Zero.zero.{u3} M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4))))))))) (OfNat.ofNat.{u4} N 0 (OfNat.mk.{u4} N 0 (Zero.zero.{u4} N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) _inst_4)))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) _inst_4)))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_zero LieModuleHom.map_zeroₓ'. -/
 @[simp]
 theorem map_zero (f : M →ₗ⁅R,L⁆ N) : f 0 = 0 :=
@@ -1210,7 +1208,7 @@ def id : M →ₗ⁅R,L⁆ M :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10], Eq.{succ u3} ((fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13)) (coeFn.{succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13)) (id.{succ u3} M)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], Eq.{succ u3} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => M) a) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7)) (id.{succ u3} M)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], Eq.{succ u3} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => M) a) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7)) (id.{succ u3} M)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_id LieModuleHom.coe_idₓ'. -/
 @[simp]
 theorem coe_id : ((id : M →ₗ⁅R,L⁆ M) : M → M) = id :=
@@ -1221,7 +1219,7 @@ theorem coe_id : ((id : M →ₗ⁅R,L⁆ M) : M → M) = id :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] (x : M), Eq.{succ u3} M (coeFn.{succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13) x) x
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] (_inst_10 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => M) _inst_10) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7) _inst_10) _inst_10
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] (_inst_10 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => M) _inst_10) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7) _inst_10) _inst_10
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.id_apply LieModuleHom.id_applyₓ'. -/
 theorem id_apply (x : M) : (id : M →ₗ⁅R,L⁆ M) x = x :=
   rfl
@@ -1235,7 +1233,7 @@ instance : Zero (M →ₗ⁅R,L⁆ N) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))))) (OfNat.ofNat.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) 0 (OfNat.mk.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) 0 (Zero.zero.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) (Pi.instZero.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)))) (OfNat.ofNat.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) 0 (Zero.toOfNat0.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (Pi.instZero.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (fun (i : M) => NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_4))))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)))) (OfNat.ofNat.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) 0 (Zero.toOfNat0.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (Pi.instZero.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (fun (i : M) => NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_4))))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_zero LieModuleHom.coe_zeroₓ'. -/
 @[norm_cast, simp]
 theorem coe_zero : ((0 : M →ₗ⁅R,L⁆ N) : M → N) = 0 :=
@@ -1246,7 +1244,7 @@ theorem coe_zero : ((0 : M →ₗ⁅R,L⁆ N) : M → N) = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) m) (OfNat.ofNat.{u4} N 0 (OfNat.mk.{u4} N 0 (Zero.zero.{u4} N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_11) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_11) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_11) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_11) _inst_4)))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_11) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_11) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_11) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_11) _inst_4)))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.zero_apply LieModuleHom.zero_applyₓ'. -/
 theorem zero_apply (m : M) : (0 : M →ₗ⁅R,L⁆ N) m = 0 :=
   rfl
@@ -1263,7 +1261,7 @@ instance : Inhabited (M →ₗ⁅R,L⁆ N) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Function.Injective.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (M -> N) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (ᾰ : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Function.Injective.{max (succ u4) (succ u3), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (M -> N) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Function.Injective.{max (succ u4) (succ u3), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (M -> N) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_injective LieModuleHom.coe_injectiveₓ'. -/
 theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeFn :=
   by
@@ -1275,7 +1273,7 @@ theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeF
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, (forall (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.ext LieModuleHom.extₓ'. -/
 @[ext]
 theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
@@ -1286,7 +1284,7 @@ theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g) (forall (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.ext_iff LieModuleHom.ext_iffₓ'. -/
 theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
   ⟨by
@@ -1298,7 +1296,7 @@ theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g) -> (forall (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) -> (forall (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 f))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) -> (forall (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 f))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.congr_fun LieModuleHom.congr_funₓ'. -/
 theorem congr_fun {f g : M →ₗ⁅R,L⁆ N} (h : f = g) (x : M) : f x = g x :=
   h ▸ rfl
@@ -1321,7 +1319,7 @@ theorem mk_coe (f : M →ₗ⁅R,L⁆ N) (h) : (⟨f, h⟩ : M →ₗ⁅R,L⁆ N
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (h : forall {x : L} {m : M}, Eq.{succ u4} N (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f m))), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f h)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f h)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_mk LieModuleHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M → N) = f :=
@@ -1361,7 +1359,7 @@ def comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : M →ₗ⁅R,L⁆
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u5} P (coeFn.{max (succ u3) (succ u5), max (succ u3) (succ u5)} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g) m) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) => N -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) f (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) (_inst_14 : M), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => P) _inst_14) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13) _inst_14) (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) (_inst_14 : M), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => P) _inst_14) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13) _inst_14) (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.comp_apply LieModuleHom.comp_applyₓ'. -/
 theorem comp_apply (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) (m : M) : f.comp g m = f (g m) :=
   rfl
@@ -1371,7 +1369,7 @@ theorem comp_apply (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) (m : M) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u5)} ((fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g)) (coeFn.{max (succ u3) (succ u5), max (succ u3) (succ u5)} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g)) (Function.comp.{succ u3, succ u4, succ u5} M N P (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) => N -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) f) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10), Eq.{max (succ u3) (succ u5)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => P) a) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13)) (Function.comp.{succ u3, succ u4, succ u5} M N P (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10), Eq.{max (succ u3) (succ u5)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => P) a) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13)) (Function.comp.{succ u3, succ u4, succ u5} M N P (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_comp LieModuleHom.coe_compₓ'. -/
 @[norm_cast, simp]
 theorem coe_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : (f.comp g : M → P) = f ∘ g :=
@@ -1394,7 +1392,7 @@ theorem coe_linearMap_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N g (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) -> (Function.RightInverse.{succ u3, succ u4} M N g (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_3 _inst_5 _inst_4 _inst_8 _inst_7 _inst_11 _inst_10 _inst_14 _inst_13)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (Function.RightInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (Function.RightInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.inverse LieModuleHom.inverseₓ'. -/
 /-- The inverse of a bijective morphism of Lie modules is a morphism of Lie modules. -/
 def inverse (f : M →ₗ⁅R,L⁆ N) (g : N → M) (h₁ : Function.LeftInverse g f)
@@ -1420,7 +1418,7 @@ instance : Neg (M →ₗ⁅R,L⁆ N) where neg f := { -(f : M →ₗ[R] N) with
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasAdd.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)) f g)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (M -> N) (M -> N) (M -> N) (instHAdd.{max u3 u4} (M -> N) (Pi.instAdd.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (instHAdd.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (Pi.instAdd.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (fun (i : M) => AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_4))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (instHAdd.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (Pi.instAdd.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (fun (i : M) => AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_4))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_add LieModuleHom.coe_addₓ'. -/
 @[norm_cast, simp]
 theorem coe_add (f g : M →ₗ⁅R,L⁆ N) : ⇑(f + g) = f + g :=
@@ -1431,7 +1429,7 @@ theorem coe_add (f g : M →ₗ⁅R,L⁆ N) : ⇑(f + g) = f + g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasAdd.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)) f g) m) (HAdd.hAdd.{u4, u4, u4} N N N (instHAdd.{u4} N (AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.add_apply LieModuleHom.add_applyₓ'. -/
 theorem add_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f + g) m = f m + g m :=
   rfl
@@ -1441,7 +1439,7 @@ theorem add_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f + g) m = f m + g m :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSub.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)) f g)) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (M -> N) (M -> N) (M -> N) (instHSub.{max u3 u4} (M -> N) (Pi.instSub.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => SubNegMonoid.toHasSub.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (instHSub.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (Pi.instSub.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (fun (i : M) => SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (instHSub.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (Pi.instSub.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (fun (i : M) => SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_sub LieModuleHom.coe_subₓ'. -/
 @[norm_cast, simp]
 theorem coe_sub (f g : M →ₗ⁅R,L⁆ N) : ⇑(f - g) = f - g :=
@@ -1452,7 +1450,7 @@ theorem coe_sub (f g : M →ₗ⁅R,L⁆ N) : ⇑(f - g) = f - g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSub.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)) f g) m) (HSub.hSub.{u4, u4, u4} N N N (instHSub.{u4} N (SubNegMonoid.toHasSub.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.sub_apply LieModuleHom.sub_applyₓ'. -/
 theorem sub_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f - g) m = f m - g m :=
   rfl
@@ -1462,7 +1460,7 @@ theorem sub_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f - g) m = f m - g m :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNeg.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) (Neg.neg.{max u3 u4} (M -> N) (Pi.instNeg.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) (Neg.neg.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (Pi.instNeg.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (fun (i : M) => NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) (Neg.neg.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (Pi.instNeg.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (fun (i : M) => NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_neg LieModuleHom.coe_negₓ'. -/
 @[norm_cast, simp]
 theorem coe_neg (f : M →ₗ⁅R,L⁆ N) : ⇑(-f) = -f :=
@@ -1473,7 +1471,7 @@ theorem coe_neg (f : M →ₗ⁅R,L⁆ N) : ⇑(-f) = -f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNeg.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f) m) (Neg.neg.{u4} N (SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) _inst_13) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) _inst_13) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.neg_apply LieModuleHom.neg_applyₓ'. -/
 theorem neg_apply (f : M →ₗ⁅R,L⁆ N) (m : M) : (-f) m = -f m :=
   rfl
@@ -1493,7 +1491,7 @@ instance hasNsmul : SMul ℕ (M →ₗ⁅R,L⁆ N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (n : Nat) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) n f)) (SMul.smul.{0, max u3 u4} Nat (M -> N) (Function.hasSMul.{u3, 0, u4} M Nat N (AddMonoid.SMul.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))) n (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (instHSMul.{0, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (AddMonoid.SMul.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (Pi.addMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (fun (i : M) => SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_4)))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (instHSMul.{0, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (AddMonoid.SMul.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (Pi.addMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (fun (i : M) => SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_4)))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_nsmul LieModuleHom.coe_nsmulₓ'. -/
 @[norm_cast, simp]
 theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • f :=
@@ -1504,7 +1502,7 @@ theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • f :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (n : Nat) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) n f) m) (SMul.smul.{0, u4} Nat N (AddMonoid.SMul.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) n (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (instHSMul.{0, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddMonoid.SMul.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (instHSMul.{0, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddMonoid.SMul.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.nsmul_apply LieModuleHom.nsmul_applyₓ'. -/
 theorem nsmul_apply (n : ℕ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (n • f) m = n • f m :=
   rfl
@@ -1524,7 +1522,7 @@ instance hasZsmul : SMul ℤ (M →ₗ⁅R,L⁆ N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (z : Int) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) z f)) (SMul.smul.{0, max u3 u4} Int (M -> N) (Function.hasSMul.{u3, 0, u4} M Int N (SubNegMonoid.SMulInt.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) z (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (instHSMul.{0, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (SubNegMonoid.SMulInt.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (Pi.subNegMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (fun (i : M) => AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (instHSMul.{0, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (SubNegMonoid.SMulInt.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (Pi.subNegMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (fun (i : M) => AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_zsmul LieModuleHom.coe_zsmulₓ'. -/
 @[norm_cast, simp]
 theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • f :=
@@ -1535,7 +1533,7 @@ theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • f :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (z : Int) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) z f) m) (SMul.smul.{0, u4} Int N (SubNegMonoid.SMulInt.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) z (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (instHSMul.{0, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubNegMonoid.SMulInt.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_4)))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (instHSMul.{0, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (SubNegMonoid.SMulInt.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) _inst_14) _inst_4)))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.zsmul_apply LieModuleHom.zsmul_applyₓ'. -/
 theorem zsmul_apply (z : ℤ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (z • f) m = z • f m :=
   rfl
@@ -1551,7 +1549,7 @@ instance : SMul R (M →ₗ⁅R,L⁆ N) where smul t f := { t • (f : M →ₗ[
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (t : R) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) t f)) (SMul.smul.{u1, max u3 u4} R (M -> N) (Function.hasSMul.{u3, u1, u4} M R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8))))) t (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ 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(forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (instHSMul.{u1, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (Pi.instSMul.{u3, u4, u1} M R (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (fun (i : M) => SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_5) _inst_8)))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t)) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (instHSMul.{u1, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (Pi.instSMul.{u3, u4, u1} M R (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (fun (i : M) => SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) i) _inst_5) _inst_8)))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_smul LieModuleHom.coe_smulₓ'. -/
 @[norm_cast, simp]
 theorem coe_smul (t : R) (f : M →ₗ⁅R,L⁆ N) : ⇑(t • f) = t • f :=
@@ -1562,7 +1560,7 @@ theorem coe_smul (t : R) (f : M →ₗ⁅R,L⁆ N) : ⇑(t • f) = t • f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (t : R) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) t f) m) (SMul.smul.{u1, u4} R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8)))) t (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t) f) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) _inst_5) _inst_8))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t f))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t) f) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) f) _inst_5) _inst_8))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t f))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.smul_apply LieModuleHom.smul_applyₓ'. -/
 theorem smul_apply (t : R) (f : M →ₗ⁅R,L⁆ N) (m : M) : (t • f) m = t • f m :=
   rfl
@@ -1666,7 +1664,7 @@ theorem injective (e : M ≃ₗ⁅R,L⁆ N) : Function.Injective e :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (inv_fun : N -> M) (h₁ : Function.LeftInverse.{succ u3, succ u4} M N inv_fun (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f))) (h₂ : Function.RightInverse.{succ u3, succ u4} M N inv_fun (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f))), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f inv_fun h₁ h₂)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f inv_fun h₁ h₂)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M) (_inst_14 : Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))) (f : Function.RightInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M) (_inst_14 : Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))) (f : Function.RightInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_mk LieModuleEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ⁅R,L⁆ N) (inv_fun h₁ h₂) :
@@ -1678,7 +1676,7 @@ theorem coe_mk (f : M →ₗ⁅R,L⁆ N) (inv_fun h₁ h₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (e : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleEquiv.hasCoeToLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (CoeTCₓ.coe.{max (succ u3) (succ 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LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) e)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleEquiv.toLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10365 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleEquiv.toLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_to_lie_module_hom LieModuleEquiv.coe_to_lieModuleHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_lieModuleHom (e : M ≃ₗ⁅R,L⁆ N) : ((e : M →ₗ⁅R,L⁆ N) : M → N) = e :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/195fcd60ff2bfe392543bceb0ec2adcdb472db4c

@@ -1112,7 +1112,7 @@ instance : CoeFun (M →ₗ⁅R,L⁆ N) fun _ => M → N :=
 lean 3 declaration is
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_inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_to_linear_map LieModuleHom.coe_to_linearMapₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
@@ -1123,7 +1123,7 @@ theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M 
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (c : R) (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) _inst_7)))) c x)) (SMul.smul.{u1, u4} R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8)))) c (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : R) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) _inst_4))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) _inst_4) _inst_7))))) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : R) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))) _inst_13 _inst_14)) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_4))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_4) _inst_7))))) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_smul LieModuleHom.map_smulₓ'. -/
 @[simp]
 theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c • f x :=
@@ -1134,7 +1134,7 @@ theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c •
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M) (y : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4)))))) x y)) (HAdd.hAdd.{u4, u4, u4} N N N (instHAdd.{u4} N (AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))))) _inst_13 _inst_14)) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_add LieModuleHom.map_addₓ'. -/
 @[simp]
 theorem map_add (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x + y) = f x + f y :=
@@ -1145,7 +1145,7 @@ theorem map_add (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x + y) = f x + f y :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M) (y : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toHasSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4)))) x y)) (HSub.hSub.{u4, u4, u4} N N N (instHSub.{u4} N (SubNegMonoid.toHasSub.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (HSub.hSub.{u3, u3, u3} M M M (instHSub.{u3} M (SubNegMonoid.toSub.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_3)))) _inst_13 _inst_14)) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_sub LieModuleHom.map_subₓ'. -/
 @[simp]
 theorem map_sub (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x - y) = f x - f y :=
@@ -1156,7 +1156,7 @@ theorem map_sub (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x - y) = f x - f y :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (Neg.neg.{u3} M (SubNegMonoid.toHasNeg.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4))) x)) (Neg.neg.{u4} N (SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Neg.neg.{u3} M (NegZeroClass.toNeg.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) _inst_13)) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_neg LieModuleHom.map_negₓ'. -/
 @[simp]
 theorem map_neg (f : M →ₗ⁅R,L⁆ N) (x : M) : f (-x) = -f x :=
@@ -1167,7 +1167,7 @@ theorem map_neg (f : M →ₗ⁅R,L⁆ N) (x : M) : f (-x) = -f x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (x : L) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : L) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) _inst_2 _inst_4 _inst_10) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : L) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) _inst_13 _inst_14)) (Bracket.bracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (LieRingModule.toBracket.{u2, u4} L ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_2 _inst_4 _inst_10) _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_lie LieModuleHom.map_lieₓ'. -/
 @[simp]
 theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x, f m⁆ :=
@@ -1178,7 +1178,7 @@ theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x,
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R 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_inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (fun (_x : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) => M -> (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9)) (LieModuleHom.hasCoeToFun.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) n) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) => N -> P) (LinearMap.hasCoeToFun.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (coeFn.{max (succ u3) (succ (max u4 u5)), max (succ u3) (succ (max u4 u5))} (LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) (fun (_x : LieModuleHom.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) => M -> (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9)) (LieModuleHom.hasCoeToFun.{u1, u2, u3, max u4 u5} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_3 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.module.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u5} P (AddMonoid.toAddZeroClass.{u5} P (AddCommMonoid.toAddMonoid.{u5} P (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 (LinearMap.lieRingModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15) _inst_13 (LinearMap.lieModule.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14 _inst_6 _inst_9 _inst_12 _inst_15)) f m) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x n)))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_14 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (_inst_15 : LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) _inst_1 _inst_2 _inst_4 (LinearMap.addCommGroup.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_6 _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_7 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u4, u5} R R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) _inst_9 (smulCommClass_self.{u1, u5} R P (CommRing.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u5} R P (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u5} P (SubNegZeroMonoid.toNegZeroClass.{u5} P (SubtractionMonoid.toSubNegZeroMonoid.{u5} P (SubtractionCommMonoid.toSubtractionMonoid.{u5} P (AddCommGroup.toDivisionAddCommMonoid.{u5} P _inst_6))))) (Module.toMulActionWithZero.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_9)))) _inst_10 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+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_14 : LieModule.{u1, u2, u5} R L P 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(instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 x) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) f m)))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_lie₂ LieModuleHom.map_lie₂ₓ'. -/
 theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N) :
     ⁅x, f m n⁆ = f ⁅x, m⁆ n + f m ⁅x, n⁆ := by simp only [sub_add_cancel, map_lie, LieHom.lie_apply]
@@ -1188,7 +1188,7 @@ theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f (OfNat.ofNat.{u3} M 0 (OfNat.mk.{u3} M 0 (Zero.zero.{u3} M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_4))))))))) (OfNat.ofNat.{u4} N 0 (OfNat.mk.{u4} N 0 (Zero.zero.{u4} N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) _inst_4)))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) (OfNat.ofNat.{u3} M 0 (Zero.toOfNat0.{u3} M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3)))))))) _inst_4)))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_zero LieModuleHom.map_zeroₓ'. -/
 @[simp]
 theorem map_zero (f : M →ₗ⁅R,L⁆ N) : f 0 = 0 :=
@@ -1210,7 +1210,7 @@ def id : M →ₗ⁅R,L⁆ M :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10], Eq.{succ u3} ((fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13)) (coeFn.{succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13)) (id.{succ u3} M)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], Eq.{succ u3} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => M) a) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7)) (id.{succ u3} M)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], Eq.{succ u3} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => M) a) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7)) (id.{succ u3} M)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_id LieModuleHom.coe_idₓ'. -/
 @[simp]
 theorem coe_id : ((id : M →ₗ⁅R,L⁆ M) : M → M) = id :=
@@ -1221,7 +1221,7 @@ theorem coe_id : ((id : M →ₗ⁅R,L⁆ M) : M → M) = id :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] (x : M), Eq.{succ u3} M (coeFn.{succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (fun (_x : LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) => M -> M) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13) x) x
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] (_inst_10 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => M) _inst_10) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7) _inst_10) _inst_10
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] (_inst_10 : M), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => M) _inst_10) (FunLike.coe.{succ u3, succ u3, succ u3} (LieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => M) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7) (LieModuleHom.id.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7) _inst_10) _inst_10
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.id_apply LieModuleHom.id_applyₓ'. -/
 theorem id_apply (x : M) : (id : M →ₗ⁅R,L⁆ M) x = x :=
   rfl
@@ -1235,7 +1235,7 @@ instance : Zero (M →ₗ⁅R,L⁆ N) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))))) (OfNat.ofNat.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) 0 (OfNat.mk.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) 0 (Zero.zero.{max u3 u4} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))) (Pi.instZero.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)))) (OfNat.ofNat.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) 0 (Zero.toOfNat0.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (Pi.instZero.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (fun (i : M) => NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) _inst_4))))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)))) (OfNat.ofNat.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) 0 (Zero.toOfNat0.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (Pi.instZero.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (fun (i : M) => NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_4))))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_zero LieModuleHom.coe_zeroₓ'. -/
 @[norm_cast, simp]
 theorem coe_zero : ((0 : M →ₗ⁅R,L⁆ N) : M → N) = 0 :=
@@ -1246,7 +1246,7 @@ theorem coe_zero : ((0 : M →ₗ⁅R,L⁆ N) : M → N) = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (OfNat.mk.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) 0 (Zero.zero.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZero.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) m) (OfNat.ofNat.{u4} N 0 (OfNat.mk.{u4} N 0 (Zero.zero.{u4} N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_11) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_11) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_11) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_11) _inst_4)))))))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (OfNat.ofNat.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) 0 (Zero.toOfNat0.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instZeroLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_11) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_11) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_11) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_11) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_11) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_11) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_11) _inst_4)))))))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.zero_apply LieModuleHom.zero_applyₓ'. -/
 theorem zero_apply (m : M) : (0 : M →ₗ⁅R,L⁆ N) m = 0 :=
   rfl
@@ -1263,7 +1263,7 @@ instance : Inhabited (M →ₗ⁅R,L⁆ N) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Function.Injective.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (M -> N) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (ᾰ : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Function.Injective.{max (succ u4) (succ u3), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (M -> N) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Function.Injective.{max (succ u4) (succ u3), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (M -> N) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_injective LieModuleHom.coe_injectiveₓ'. -/
 theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeFn :=
   by
@@ -1275,7 +1275,7 @@ theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeF
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, (forall (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m)) -> (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.ext LieModuleHom.extₓ'. -/
 @[ext]
 theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
@@ -1286,7 +1286,7 @@ theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g) (forall (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, Iff (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) (forall (m : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 m))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.ext_iff LieModuleHom.ext_iffₓ'. -/
 theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
   ⟨by
@@ -1298,7 +1298,7 @@ theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] {f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14} {g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f g) -> (forall (x : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) -> (forall (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 f))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] {_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10} {_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10}, (Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13) -> (forall (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 f))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.congr_fun LieModuleHom.congr_funₓ'. -/
 theorem congr_fun {f g : M →ₗ⁅R,L⁆ N} (h : f = g) (x : M) : f x = g x :=
   h ▸ rfl
@@ -1321,7 +1321,7 @@ theorem mk_coe (f : M →ₗ⁅R,L⁆ N) (h) : (⟨f, h⟩ : M →ₗ⁅R,L⁆ N
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (h : forall {x : L} {m : M}, Eq.{succ u4} N (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f (Bracket.bracket.{u2, u3} L M (LieRingModule.toHasBracket.{u2, u3} L M _inst_2 _inst_4 _inst_10) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toHasBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) x (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 f m))), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f h)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f h)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 _inst_11) m))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_mk LieModuleHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M → N) = f :=
@@ -1361,7 +1361,7 @@ def comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : M →ₗ⁅R,L⁆
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u5} P (coeFn.{max (succ u3) (succ u5), max (succ u3) (succ u5)} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g) m) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) => N -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) f (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) (_inst_14 : M), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => P) _inst_14) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13) _inst_14) (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) (_inst_14 : M), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => P) _inst_14) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13) _inst_14) (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.comp_apply LieModuleHom.comp_applyₓ'. -/
 theorem comp_apply (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) (m : M) : f.comp g m = f (g m) :=
   rfl
@@ -1371,7 +1371,7 @@ theorem comp_apply (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) (m : M) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12] (f : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u5)} ((fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g)) (coeFn.{max (succ u3) (succ u5), max (succ u3) (succ u5)} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) => M -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_14 _inst_15 f g)) (Function.comp.{succ u3, succ u4, succ u5} M N P (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) (fun (_x : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) => N -> P) (LieModuleHom.hasCoeToFun.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) f) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10), Eq.{max (succ u3) (succ u5)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => P) a) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13)) (Function.comp.{succ u3, succ u4, succ u5} M N P (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : AddCommGroup.{u5} P] [_inst_6 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_5)] [_inst_9 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u5} L P _inst_2 _inst_5] (_inst_12 : LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10), Eq.{max (succ u3) (succ u5)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => P) a) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (LieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11) (LieModuleHom.comp.{u1, u2, u3, u4, u5} R L M N P _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13)) (Function.comp.{succ u3, succ u4, succ u5} M N P (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} (LieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : N) => P) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_12) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_comp LieModuleHom.coe_compₓ'. -/
 @[norm_cast, simp]
 theorem coe_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : (f.comp g : M → P) = f ∘ g :=
@@ -1394,7 +1394,7 @@ theorem coe_linearMap_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N g (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) -> (Function.RightInverse.{succ u3, succ u4} M N g (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_3 _inst_5 _inst_4 _inst_8 _inst_7 _inst_11 _inst_10 _inst_14 _inst_13)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (Function.RightInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M), (Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (Function.RightInverse.{succ u3, succ u4} M N _inst_13 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) -> (LieModuleHom.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.inverse LieModuleHom.inverseₓ'. -/
 /-- The inverse of a bijective morphism of Lie modules is a morphism of Lie modules. -/
 def inverse (f : M →ₗ⁅R,L⁆ N) (g : N → M) (h₁ : Function.LeftInverse g f)
@@ -1420,7 +1420,7 @@ instance : Neg (M →ₗ⁅R,L⁆ N) where neg f := { -(f : M →ₗ[R] N) with
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasAdd.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)) f g)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (M -> N) (M -> N) (M -> N) (instHAdd.{max u3 u4} (M -> N) (Pi.instAdd.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (instHAdd.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (Pi.instAdd.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (fun (i : M) => AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) _inst_4))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (instHAdd.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (Pi.instAdd.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (fun (i : M) => AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_4))))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_add LieModuleHom.coe_addₓ'. -/
 @[norm_cast, simp]
 theorem coe_add (f g : M →ₗ⁅R,L⁆ N) : ⇑(f + g) = f + g :=
@@ -1431,7 +1431,7 @@ theorem coe_add (f g : M →ₗ⁅R,L⁆ N) : ⇑(f + g) = f + g :=
 lean 3 declaration is
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 but is expected to have type
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+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHAdd.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instAddLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HAdd.hAdd.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (instHAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddZeroClass.toAdd.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.add_apply LieModuleHom.add_applyₓ'. -/
 theorem add_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f + g) m = f m + g m :=
   rfl
@@ -1441,7 +1441,7 @@ theorem add_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f + g) m = f m + g m :=
 lean 3 declaration is
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 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (instHSub.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (Pi.instSub.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (fun (i : M) => SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (instHSub.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (Pi.instSub.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (fun (i : M) => SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_sub LieModuleHom.coe_subₓ'. -/
 @[norm_cast, simp]
 theorem coe_sub (f g : M →ₗ⁅R,L⁆ N) : ⇑(f - g) = f - g :=
@@ -1452,7 +1452,7 @@ theorem coe_sub (f g : M →ₗ⁅R,L⁆ N) : ⇑(f - g) = f - g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (g : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSub.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)) f g) m) (HSub.hSub.{u4, u4, u4} N N N (instHSub.{u4} N (SubNegMonoid.toHasSub.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) g m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSub.hSub.{max u3 u4, max u3 u4, max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSub.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instSubLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_4)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.sub_apply LieModuleHom.sub_applyₓ'. -/
 theorem sub_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f - g) m = f m - g m :=
   rfl
@@ -1462,7 +1462,7 @@ theorem sub_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f - g) m = f m - g m :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNeg.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)) (Neg.neg.{max u3 u4} (M -> N) (Pi.instNeg.{u3, u4} M (fun (ᾰ : M) => N) (fun (i : M) => SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) (Neg.neg.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (Pi.instNeg.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (fun (i : M) => NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)) (Neg.neg.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (Pi.instNeg.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (fun (i : M) => NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_4)))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_neg LieModuleHom.coe_negₓ'. -/
 @[norm_cast, simp]
 theorem coe_neg (f : M →ₗ⁅R,L⁆ N) : ⇑(-f) = -f :=
@@ -1473,7 +1473,7 @@ theorem coe_neg (f : M →ₗ⁅R,L⁆ N) : ⇑(-f) = -f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNeg.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f) m) (Neg.neg.{u4} N (SubNegMonoid.toHasNeg.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) _inst_13) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (Neg.neg.{max u3 u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.instNegLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11) _inst_13) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_13) _inst_4))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11 _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.neg_apply LieModuleHom.neg_applyₓ'. -/
 theorem neg_apply (f : M →ₗ⁅R,L⁆ N) (m : M) : (-f) m = -f m :=
   rfl
@@ -1493,7 +1493,7 @@ instance hasNsmul : SMul ℕ (M →ₗ⁅R,L⁆ N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (n : Nat) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) n f)) (SMul.smul.{0, max u3 u4} Nat (M -> N) (Function.hasSMul.{u3, 0, u4} M Nat N (AddMonoid.SMul.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))))) n (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (instHSMul.{0, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (AddMonoid.SMul.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (Pi.addMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (fun (i : M) => SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) _inst_4)))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (instHSMul.{0, max u3 u4} Nat (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (AddMonoid.SMul.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (Pi.addMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (fun (i : M) => SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_4)))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_nsmul LieModuleHom.coe_nsmulₓ'. -/
 @[norm_cast, simp]
 theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • f :=
@@ -1504,7 +1504,7 @@ theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • f :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (n : Nat) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) n f) m) (SMul.smul.{0, u4} Nat N (AddMonoid.SMul.{u4} N (SubNegMonoid.toAddMonoid.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) n (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (instHSMul.{0, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (AddMonoid.SMul.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Nat) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Nat (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasNsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (instHSMul.{0, u4} Nat ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddMonoid.SMul.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubNegMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.nsmul_apply LieModuleHom.nsmul_applyₓ'. -/
 theorem nsmul_apply (n : ℕ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (n • f) m = n • f m :=
   rfl
@@ -1524,7 +1524,7 @@ instance hasZsmul : SMul ℤ (M →ₗ⁅R,L⁆ N)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (z : Int) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) z f)) (SMul.smul.{0, max u3 u4} Int (M -> N) (Function.hasSMul.{u3, 0, u4} M Int N (SubNegMonoid.SMulInt.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5)))) z (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (instHSMul.{0, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (SubNegMonoid.SMulInt.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (Pi.subNegMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (fun (i : M) => AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13)) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (instHSMul.{0, max u3 u4} Int (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (SubNegMonoid.SMulInt.{max u3 u4} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (Pi.subNegMonoid.{u3, u4} M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (fun (i : M) => AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_4))))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_zsmul LieModuleHom.coe_zsmulₓ'. -/
 @[norm_cast, simp]
 theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • f :=
@@ -1535,7 +1535,7 @@ theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • f :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (z : Int) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) z f) m) (SMul.smul.{0, u4} Int N (SubNegMonoid.SMulInt.{u4} N (AddGroup.toSubNegMonoid.{u4} N (AddCommGroup.toAddGroup.{u4} N _inst_5))) z (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (instHSMul.{0, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (SubNegMonoid.SMulInt.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) _inst_14) _inst_4)))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : Int) (_inst_13 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_14 : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (HSMul.hSMul.{0, max u3 u4, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (instHSMul.{0, max u3 u4} Int (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.hasZsmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10)) _inst_11 _inst_13) _inst_14) (HSMul.hSMul.{0, u4, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (instHSMul.{0, u4} Int ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (SubNegMonoid.SMulInt.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) _inst_14) _inst_4)))) _inst_11 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_13 _inst_14))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.zsmul_apply LieModuleHom.zsmul_applyₓ'. -/
 theorem zsmul_apply (z : ℤ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (z • f) m = z • f m :=
   rfl
@@ -1551,7 +1551,7 @@ instance : SMul R (M →ₗ⁅R,L⁆ N) where smul t f := { t • (f : M →ₗ[
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (t : R) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ (max u3 u4)} (M -> N) (coeFn.{succ (max u3 u4), succ (max u3 u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) t f)) (SMul.smul.{u1, max u3 u4} R (M -> N) (Function.hasSMul.{u3, u1, u4} M R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8))))) t (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t)) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (instHSMul.{u1, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (Pi.instSMul.{u3, u4, u1} M R (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (fun (i : M) => SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) i) _inst_5) _inst_8)))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t)) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (instHSMul.{u1, max u3 u4} R (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (Pi.instSMul.{u3, u4, u1} M R (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (fun (i : M) => SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) i) _inst_5) _inst_8)))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_smul LieModuleHom.coe_smulₓ'. -/
 @[norm_cast, simp]
 theorem coe_smul (t : R) (f : M →ₗ⁅R,L⁆ N) : ⇑(t • f) = t • f :=
@@ -1562,7 +1562,7 @@ theorem coe_smul (t : R) (f : M →ₗ⁅R,L⁆ N) : ⇑(t • f) = t • f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (t : R) (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (m : M), Eq.{succ u4} N (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (SMul.smul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.hasSmul.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) t f) m) (SMul.smul.{u1, u4} R N (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)))) (Module.toMulActionWithZero.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_8)))) t (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t) f) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) f) _inst_5) _inst_8))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t f))
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (_inst_14 : R) (t : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (f : M), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (HSMul.hSMul.{u1, max u3 u4, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (instHSMul.{u1, max u3 u4} R (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) (LieModuleHom.instSMulLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13)) _inst_14 t) f) (HSMul.hSMul.{u1, u4, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (instHSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SMulZeroClass.toSMul.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (NegZeroClass.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) _inst_5))))) (Module.toMulActionWithZero.{u1, u4} R ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) f) _inst_5) _inst_8))))) _inst_14 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) t f))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.smul_apply LieModuleHom.smul_applyₓ'. -/
 theorem smul_apply (t : R) (f : M →ₗ⁅R,L⁆ N) (m : M) : (t • f) m = t • f m :=
   rfl
@@ -1666,7 +1666,7 @@ theorem injective (e : M ≃ₗ⁅R,L⁆ N) : Function.Injective e :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (inv_fun : N -> M) (h₁ : Function.LeftInverse.{succ u3, succ u4} M N inv_fun (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f))) (h₂ : Function.RightInverse.{succ u3, succ u4} M N inv_fun (LinearMap.toFun.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f))), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f inv_fun h₁ h₂)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f inv_fun h₁ h₂)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M) (_inst_14 : Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))) (f : Function.RightInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : N -> M) (_inst_14 : Function.LeftInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))) (f : Function.RightInverse.{succ u3, succ u4} M N _inst_13 (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)))), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) (LieModuleEquiv.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 f)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_mk LieModuleEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ⁅R,L⁆ N) (inv_fun h₁ h₂) :
@@ -1678,7 +1678,7 @@ theorem coe_mk (f : M →ₗ⁅R,L⁆ N) (inv_fun h₁ h₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (e : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{max (succ u3) (succ u4)} ((fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleEquiv.hasCoeToLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14)))) e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (CoeTCₓ.coe.{max (succ u3) (succ 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LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) => M -> N) (LieModuleEquiv.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) e)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleEquiv.toLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{max (succ u3) (succ u4)} (forall (a : M), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10409 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleEquiv.toLieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => N) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) M N (LieModuleEquiv.instEquivLikeLieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10))) _inst_11)
 Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_to_lie_module_hom LieModuleEquiv.coe_to_lieModuleHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_lieModuleHom (e : M ≃ₗ⁅R,L⁆ N) : ((e : M →ₗ⁅R,L⁆ N) : M → N) = e :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/195fcd60ff2bfe392543bceb0ec2adcdb472db4c

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
 
 ! This file was ported from Lean 3 source module algebra.lie.basic
-! leanprover-community/mathlib commit 6d584f1709bedbed9175bd9350df46599bdd7213
+! leanprover-community/mathlib commit ee05e9ce1322178f0c12004eb93c00d2c8c00ed2
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.Tactic.NoncommRing
 /-!
 # Lie algebras
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file defines Lie rings and Lie algebras over a commutative ring together with their
 modules, morphisms and equivalences, as well as various lemmas to make these definitions usable.
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/eb0cb4511aaef0da2462207b67358a0e1fe1e2ee

@@ -56,6 +56,7 @@ universe u v w w₁ w₂
 
 open Function
 
+#print LieRing /-
 /-- A Lie ring is an additive group with compatible product, known as the bracket, satisfying the
 Jacobi identity. -/
 @[protect_proj]
@@ -65,14 +66,18 @@ class LieRing (L : Type v) extends AddCommGroup L, Bracket L L where
   lie_self : ∀ x : L, ⁅x, x⁆ = 0
   leibniz_lie : ∀ x y z : L, ⁅x, ⁅y, z⁆⁆ = ⁅⁅x, y⁆, z⁆ + ⁅y, ⁅x, z⁆⁆
 #align lie_ring LieRing
+-/
 
+#print LieAlgebra /-
 /-- A Lie algebra is a module with compatible product, known as the bracket, satisfying the Jacobi
 identity. Forgetting the scalar multiplication, every Lie algebra is a Lie ring. -/
 @[protect_proj]
 class LieAlgebra (R : Type u) (L : Type v) [CommRing R] [LieRing L] extends Module R L where
   lie_smul : ∀ (t : R) (x y : L), ⁅x, t • y⁆ = t • ⁅x, y⁆
 #align lie_algebra LieAlgebra
+-/
 
+#print LieRingModule /-
 /-- A Lie ring module is an additive group, together with an additive action of a
 Lie ring on this group, such that the Lie bracket acts as the commutator of endomorphisms.
 (For representations of Lie *algebras* see `lie_module`.) -/
@@ -82,7 +87,9 @@ class LieRingModule (L : Type v) (M : Type w) [LieRing L] [AddCommGroup M] exten
   lie_add : ∀ (x : L) (m n : M), ⁅x, m + n⁆ = ⁅x, m⁆ + ⁅x, n⁆
   leibniz_lie : ∀ (x y : L) (m : M), ⁅x, ⁅y, m⁆⁆ = ⁅⁅x, y⁆, m⁆ + ⁅y, ⁅x, m⁆⁆
 #align lie_ring_module LieRingModule
+-/
 
+#print LieModule /-
 /-- A Lie module is a module over a commutative ring, together with a linear action of a Lie
 algebra on this module, such that the Lie bracket acts as the commutator of endomorphisms. -/
 @[protect_proj]
@@ -91,6 +98,7 @@ class LieModule (R : Type u) (L : Type v) (M : Type w) [CommRing R] [LieRing L]
   smul_lie : ∀ (t : R) (x : L) (m : M), ⁅t • x, m⁆ = t • ⁅x, m⁆
   lie_smul : ∀ (t : R) (x : L) (m : M), ⁅x, t • m⁆ = t • ⁅x, m⁆
 #align lie_module LieModule
+-/
 
 section BasicProperties
 
@@ -104,49 +112,97 @@ variable [AddCommGroup N] [Module R N] [LieRingModule L N] [LieModule R L N]
 
 variable (t : R) (x y z : L) (m n : M)
 
+/- warning: add_lie -> add_lie 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 add_lie add_lieₓ'. -/
 @[simp]
 theorem add_lie : ⁅x + y, m⁆ = ⁅x, m⁆ + ⁅y, m⁆ :=
   LieRingModule.add_lie x y m
 #align add_lie add_lie
 
+/- warning: lie_add -> lie_add is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {L : Type.{u1}} {M : Type.{u2}} [_inst_2 : LieRing.{u1} L] [_inst_4 : AddCommGroup.{u2} M] [_inst_6 : LieRingModule.{u1, u2} L M _inst_2 _inst_4] (x : L) (m : M) (n : M), Eq.{succ u2} M (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4)))))) m n)) (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4)))))) (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x m) (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x n))
+Case conversion may be inaccurate. Consider using '#align lie_add lie_addₓ'. -/
 @[simp]
 theorem lie_add : ⁅x, m + n⁆ = ⁅x, m⁆ + ⁅x, n⁆ :=
   LieRingModule.lie_add x m n
 #align lie_add lie_add
 
+#print smul_lie /-
 @[simp]
 theorem smul_lie : ⁅t • x, m⁆ = t • ⁅x, m⁆ :=
   LieModule.smul_lie t x m
 #align smul_lie smul_lie
+-/
 
+#print lie_smul /-
 @[simp]
 theorem lie_smul : ⁅x, t • m⁆ = t • ⁅x, m⁆ :=
   LieModule.lie_smul t x m
 #align lie_smul lie_smul
+-/
 
+/- warning: leibniz_lie -> leibniz_lie is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {L : Type.{u1}} {M : Type.{u2}} [_inst_2 : LieRing.{u1} L] [_inst_4 : AddCommGroup.{u2} M] [_inst_6 : LieRingModule.{u1, u2} L M _inst_2 _inst_4] (x : L) (y : L) (m : M), Eq.{succ u2} M (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) y m)) (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4)))))) (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) (Bracket.bracket.{u1, u1} L L (LieRing.toBracket.{u1} L _inst_2) x y) m) (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) y (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x m)))
+Case conversion may be inaccurate. Consider using '#align leibniz_lie leibniz_lieₓ'. -/
 theorem leibniz_lie : ⁅x, ⁅y, m⁆⁆ = ⁅⁅x, y⁆, m⁆ + ⁅y, ⁅x, m⁆⁆ :=
   LieRingModule.leibniz_lie x y m
 #align leibniz_lie leibniz_lie
 
+/- warning: lie_zero -> lie_zero is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {L : Type.{u1}} {M : Type.{u2}} [_inst_2 : LieRing.{u1} L] [_inst_4 : AddCommGroup.{u2} M] [_inst_6 : LieRingModule.{u1, u2} L M _inst_2 _inst_4] (x : L), Eq.{succ u2} M (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x (OfNat.ofNat.{u2} M 0 (Zero.toOfNat0.{u2} M (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4)))))))) (OfNat.ofNat.{u2} M 0 (Zero.toOfNat0.{u2} M (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4)))))))
+Case conversion may be inaccurate. Consider using '#align lie_zero lie_zeroₓ'. -/
 @[simp]
 theorem lie_zero : ⁅x, 0⁆ = (0 : M) :=
   (AddMonoidHom.mk' _ (lie_add x)).map_zero
 #align lie_zero lie_zero
 
+/- warning: zero_lie -> zero_lie is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {L : Type.{u1}} {M : Type.{u2}} [_inst_2 : LieRing.{u1} L] [_inst_4 : AddCommGroup.{u2} M] [_inst_6 : LieRingModule.{u1, u2} L M _inst_2 _inst_4] (m : M), Eq.{succ u2} M (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) (OfNat.ofNat.{u1} L 0 (Zero.toOfNat0.{u1} L (NegZeroClass.toZero.{u1} L (SubNegZeroMonoid.toNegZeroClass.{u1} L (SubtractionMonoid.toSubNegZeroMonoid.{u1} L (SubtractionCommMonoid.toSubtractionMonoid.{u1} L (AddCommGroup.toDivisionAddCommMonoid.{u1} L (LieRing.toAddCommGroup.{u1} L _inst_2)))))))) m) (OfNat.ofNat.{u2} M 0 (Zero.toOfNat0.{u2} M (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4)))))))
+Case conversion may be inaccurate. Consider using '#align zero_lie zero_lieₓ'. -/
 @[simp]
 theorem zero_lie : ⁅(0 : L), m⁆ = 0 :=
   (AddMonoidHom.mk' (fun x : L => ⁅x, m⁆) fun x y => add_lie x y m).map_zero
 #align zero_lie zero_lie
 
+/- warning: lie_self -> lie_self is a dubious translation:
+lean 3 declaration is
+  forall {L : Type.{u1}} [_inst_2 : LieRing.{u1} L] (x : L), Eq.{succ u1} L (Bracket.bracket.{u1, u1} L L (LieRing.toHasBracket.{u1} L _inst_2) x x) (OfNat.ofNat.{u1} L 0 (OfNat.mk.{u1} L 0 (Zero.zero.{u1} L (AddZeroClass.toHasZero.{u1} L (AddMonoid.toAddZeroClass.{u1} L (SubNegMonoid.toAddMonoid.{u1} L (AddGroup.toSubNegMonoid.{u1} L (AddCommGroup.toAddGroup.{u1} L (LieRing.toAddCommGroup.{u1} L _inst_2)))))))))
+but is expected to have type
+  forall {L : Type.{u1}} [_inst_2 : LieRing.{u1} L] (x : L), Eq.{succ u1} L (Bracket.bracket.{u1, u1} L L (LieRing.toBracket.{u1} L _inst_2) x x) (OfNat.ofNat.{u1} L 0 (Zero.toOfNat0.{u1} L (NegZeroClass.toZero.{u1} L (SubNegZeroMonoid.toNegZeroClass.{u1} L (SubtractionMonoid.toSubNegZeroMonoid.{u1} L (SubtractionCommMonoid.toSubtractionMonoid.{u1} L (AddCommGroup.toDivisionAddCommMonoid.{u1} L (LieRing.toAddCommGroup.{u1} L _inst_2))))))))
+Case conversion may be inaccurate. Consider using '#align lie_self lie_selfₓ'. -/
 @[simp]
 theorem lie_self : ⁅x, x⁆ = 0 :=
   LieRing.lie_self x
 #align lie_self lie_self
 
+#print lieRingSelfModule /-
 instance lieRingSelfModule : LieRingModule L L :=
   { (inferInstance : LieRing L) with }
 #align lie_ring_self_module lieRingSelfModule
+-/
 
+/- warning: lie_skew -> lie_skew is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {L : Type.{u1}} [_inst_2 : LieRing.{u1} L] (x : L) (y : L), Eq.{succ u1} L (Neg.neg.{u1} L (NegZeroClass.toNeg.{u1} L (SubNegZeroMonoid.toNegZeroClass.{u1} L (SubtractionMonoid.toSubNegZeroMonoid.{u1} L (SubtractionCommMonoid.toSubtractionMonoid.{u1} L (AddCommGroup.toDivisionAddCommMonoid.{u1} L (LieRing.toAddCommGroup.{u1} L _inst_2)))))) (Bracket.bracket.{u1, u1} L L (LieRingModule.toBracket.{u1, u1} L L _inst_2 (LieRing.toAddCommGroup.{u1} L _inst_2) (lieRingSelfModule.{u1} L _inst_2)) y x)) (Bracket.bracket.{u1, u1} L L (LieRingModule.toBracket.{u1, u1} L L _inst_2 (LieRing.toAddCommGroup.{u1} L _inst_2) (lieRingSelfModule.{u1} L _inst_2)) x y)
+Case conversion may be inaccurate. Consider using '#align lie_skew lie_skewₓ'. -/
 @[simp]
 theorem lie_skew : -⁅y, x⁆ = ⁅x, y⁆ :=
   by
@@ -154,13 +210,21 @@ theorem lie_skew : -⁅y, x⁆ = ⁅x, y⁆ :=
   simpa [neg_eq_iff_add_eq_zero] using h
 #align lie_skew lie_skew
 
+#print lieAlgebraSelfModule /-
 /-- Every Lie algebra is a module over itself. -/
 instance lieAlgebraSelfModule : LieModule R L L
     where
   smul_lie t x m := by rw [← lie_skew, ← lie_skew x m, LieAlgebra.lie_smul, smul_neg]
   lie_smul := by apply LieAlgebra.lie_smul
 #align lie_algebra_self_module lieAlgebraSelfModule
+-/
 
+/- warning: neg_lie -> neg_lie is a dubious translation:
+lean 3 declaration is
+  forall {L : Type.{u1}} {M : Type.{u2}} [_inst_2 : LieRing.{u1} L] [_inst_4 : AddCommGroup.{u2} M] [_inst_6 : LieRingModule.{u1, u2} L M _inst_2 _inst_4] (x : L) (m : M), Eq.{succ u2} M (Bracket.bracket.{u1, u2} L M (LieRingModule.toHasBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) (Neg.neg.{u1} L (SubNegMonoid.toHasNeg.{u1} L (AddGroup.toSubNegMonoid.{u1} L (AddCommGroup.toAddGroup.{u1} L (LieRing.toAddCommGroup.{u1} L _inst_2)))) x) m) (Neg.neg.{u2} M (SubNegMonoid.toHasNeg.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4))) (Bracket.bracket.{u1, u2} L M (LieRingModule.toHasBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x m))
+but is expected to have type
+  forall {L : Type.{u1}} {M : Type.{u2}} [_inst_2 : LieRing.{u1} L] [_inst_4 : AddCommGroup.{u2} M] [_inst_6 : LieRingModule.{u1, u2} L M _inst_2 _inst_4] (x : L) (m : M), Eq.{succ u2} M (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) (Neg.neg.{u1} L (NegZeroClass.toNeg.{u1} L (SubNegZeroMonoid.toNegZeroClass.{u1} L (SubtractionMonoid.toSubNegZeroMonoid.{u1} L (SubtractionCommMonoid.toSubtractionMonoid.{u1} L (AddCommGroup.toDivisionAddCommMonoid.{u1} L (LieRing.toAddCommGroup.{u1} L _inst_2)))))) x) m) (Neg.neg.{u2} M (NegZeroClass.toNeg.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x m))
+Case conversion may be inaccurate. Consider using '#align neg_lie neg_lieₓ'. -/
 @[simp]
 theorem neg_lie : ⁅-x, m⁆ = -⁅x, m⁆ :=
   by
@@ -168,6 +232,12 @@ theorem neg_lie : ⁅-x, m⁆ = -⁅x, m⁆ :=
   simp
 #align neg_lie neg_lie
 
+/- warning: lie_neg -> lie_neg is a dubious translation:
+lean 3 declaration is
+  forall {L : Type.{u1}} {M : Type.{u2}} [_inst_2 : LieRing.{u1} L] [_inst_4 : AddCommGroup.{u2} M] [_inst_6 : LieRingModule.{u1, u2} L M _inst_2 _inst_4] (x : L) (m : M), Eq.{succ u2} M (Bracket.bracket.{u1, u2} L M (LieRingModule.toHasBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x (Neg.neg.{u2} M (SubNegMonoid.toHasNeg.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4))) m)) (Neg.neg.{u2} M (SubNegMonoid.toHasNeg.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4))) (Bracket.bracket.{u1, u2} L M (LieRingModule.toHasBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x m))
+but is expected to have type
+  forall {L : Type.{u1}} {M : Type.{u2}} [_inst_2 : LieRing.{u1} L] [_inst_4 : AddCommGroup.{u2} M] [_inst_6 : LieRingModule.{u1, u2} L M _inst_2 _inst_4] (x : L) (m : M), Eq.{succ u2} M (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x (Neg.neg.{u2} M (NegZeroClass.toNeg.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) m)) (Neg.neg.{u2} M (NegZeroClass.toNeg.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x m))
+Case conversion may be inaccurate. Consider using '#align lie_neg lie_negₓ'. -/
 @[simp]
 theorem lie_neg : ⁅x, -m⁆ = -⁅x, m⁆ :=
   by
@@ -175,44 +245,82 @@ theorem lie_neg : ⁅x, -m⁆ = -⁅x, m⁆ :=
   simp
 #align lie_neg lie_neg
 
+/- warning: sub_lie -> sub_lie is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {L : Type.{u1}} {M : Type.{u2}} [_inst_2 : LieRing.{u1} L] [_inst_4 : AddCommGroup.{u2} M] [_inst_6 : LieRingModule.{u1, u2} L M _inst_2 _inst_4] (x : L) (y : L) (m : M), Eq.{succ u2} M (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) (HSub.hSub.{u1, u1, u1} L L L (instHSub.{u1} L (SubNegMonoid.toSub.{u1} L (AddGroup.toSubNegMonoid.{u1} L (AddCommGroup.toAddGroup.{u1} L (LieRing.toAddCommGroup.{u1} L _inst_2))))) x y) m) (HSub.hSub.{u2, u2, u2} M M M (instHSub.{u2} M (SubNegMonoid.toSub.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4)))) (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x m) (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) y m))
+Case conversion may be inaccurate. Consider using '#align sub_lie sub_lieₓ'. -/
 @[simp]
 theorem sub_lie : ⁅x - y, m⁆ = ⁅x, m⁆ - ⁅y, m⁆ := by simp [sub_eq_add_neg]
 #align sub_lie sub_lie
 
+/- warning: lie_sub -> lie_sub is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {L : Type.{u1}} {M : Type.{u2}} [_inst_2 : LieRing.{u1} L] [_inst_4 : AddCommGroup.{u2} M] [_inst_6 : LieRingModule.{u1, u2} L M _inst_2 _inst_4] (x : L) (m : M) (n : M), Eq.{succ u2} M (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x (HSub.hSub.{u2, u2, u2} M M M (instHSub.{u2} M (SubNegMonoid.toSub.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4)))) m n)) (HSub.hSub.{u2, u2, u2} M M M (instHSub.{u2} M (SubNegMonoid.toSub.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4)))) (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x m) (Bracket.bracket.{u1, u2} L M (LieRingModule.toBracket.{u1, u2} L M _inst_2 _inst_4 _inst_6) x n))
+Case conversion may be inaccurate. Consider using '#align lie_sub lie_subₓ'. -/
 @[simp]
 theorem lie_sub : ⁅x, m - n⁆ = ⁅x, m⁆ - ⁅x, n⁆ := by simp [sub_eq_add_neg]
 #align lie_sub lie_sub
 
+#print nsmul_lie /-
 @[simp]
 theorem nsmul_lie (n : ℕ) : ⁅n • x, m⁆ = n • ⁅x, m⁆ :=
   AddMonoidHom.map_nsmul ⟨fun x : L => ⁅x, m⁆, zero_lie m, fun _ _ => add_lie _ _ _⟩ _ _
 #align nsmul_lie nsmul_lie
+-/
 
+#print lie_nsmul /-
 @[simp]
 theorem lie_nsmul (n : ℕ) : ⁅x, n • m⁆ = n • ⁅x, m⁆ :=
   AddMonoidHom.map_nsmul ⟨fun m : M => ⁅x, m⁆, lie_zero x, fun _ _ => lie_add _ _ _⟩ _ _
 #align lie_nsmul lie_nsmul
+-/
 
+#print zsmul_lie /-
 @[simp]
 theorem zsmul_lie (a : ℤ) : ⁅a • x, m⁆ = a • ⁅x, m⁆ :=
   AddMonoidHom.map_zsmul ⟨fun x : L => ⁅x, m⁆, zero_lie m, fun _ _ => add_lie _ _ _⟩ _ _
 #align zsmul_lie zsmul_lie
+-/
 
+#print lie_zsmul /-
 @[simp]
 theorem lie_zsmul (a : ℤ) : ⁅x, a • m⁆ = a • ⁅x, m⁆ :=
   AddMonoidHom.map_zsmul ⟨fun m : M => ⁅x, m⁆, lie_zero x, fun _ _ => lie_add _ _ _⟩ _ _
 #align lie_zsmul lie_zsmul
+-/
 
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+Case conversion may be inaccurate. Consider using '#align lie_lie lie_lieₓ'. -/
 @[simp]
 theorem lie_lie : ⁅⁅x, y⁆, m⁆ = ⁅x, ⁅y, m⁆⁆ - ⁅y, ⁅x, m⁆⁆ := by rw [leibniz_lie, add_sub_cancel]
 #align lie_lie lie_lie
 
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+Case conversion may be inaccurate. Consider using '#align lie_jacobi lie_jacobiₓ'. -/
 theorem lie_jacobi : ⁅x, ⁅y, z⁆⁆ + ⁅y, ⁅z, x⁆⁆ + ⁅z, ⁅x, y⁆⁆ = 0 :=
   by
   rw [← neg_neg ⁅x, y⁆, lie_neg z, lie_skew y x, ← lie_skew, lie_lie]
   abel
 #align lie_jacobi lie_jacobi
 
+/- warning: lie_ring.int_lie_algebra -> LieRing.intLieAlgebra is a dubious translation:
+lean 3 declaration is
+  forall {L : Type.{u1}} [_inst_2 : LieRing.{u1} L], LieAlgebra.{0, u1} Int L Int.commRing _inst_2
+but is expected to have type
+  forall {L : Type.{u1}} [_inst_2 : LieRing.{u1} L], LieAlgebra.{0, u1} Int L Int.instCommRingInt _inst_2
+Case conversion may be inaccurate. Consider using '#align lie_ring.int_lie_algebra LieRing.intLieAlgebraₓ'. -/
 instance LieRing.intLieAlgebra : LieAlgebra ℤ L where lie_smul n x y := lie_zsmul x y n
 #align lie_ring.int_lie_algebra LieRing.intLieAlgebra
 
@@ -238,6 +346,12 @@ instance : LieRingModule L (M →ₗ[R] N)
     simp only [lie_lie, LinearMap.coe_mk, LinearMap.map_sub, LinearMap.add_apply, lie_sub]
     abel
 
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+Case conversion may be inaccurate. Consider using '#align lie_hom.lie_apply LieHom.lie_applyₓ'. -/
 @[simp]
 theorem LieHom.lie_apply (f : M →ₗ[R] N) (x : L) (m : M) : ⁅x, f⁆ m = ⁅x, f m⁆ - f ⁅x, m⁆ :=
   rfl
@@ -254,11 +368,13 @@ instance : LieModule R L (M →ₗ[R] N)
 
 end BasicProperties
 
+#print LieHom /-
 /-- A morphism of Lie algebras is a linear map respecting the bracket operations. -/
 structure LieHom (R : Type u) (L : Type v) (L' : Type w) [CommRing R] [LieRing L] [LieAlgebra R L]
   [LieRing L'] [LieAlgebra R L'] extends L →ₗ[R] L' where
   map_lie' : ∀ {x y : L}, to_fun ⁅x, y⁆ = ⁅to_fun x, to_fun y⁆
 #align lie_hom LieHom
+-/
 
 attribute [nolint doc_blame] LieHom.toLinearMap
 
@@ -284,64 +400,128 @@ instance : Coe (L₁ →ₗ⁅R⁆ L₂) (L₁ →ₗ[R] L₂) :=
 instance : CoeFun (L₁ →ₗ⁅R⁆ L₂) fun _ => L₁ → L₂ :=
   ⟨fun f => f.toLinearMap.toFun⟩
 
+#print LieHom.Simps.apply /-
 /-- See Note [custom simps projection]. We need to specify this projection explicitly in this case,
   because it is a composition of multiple projections. -/
 def Simps.apply (h : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂ :=
   h
 #align lie_hom.simps.apply LieHom.Simps.apply
+-/
 
 initialize_simps_projections LieHom (to_linear_map_to_fun → apply)
 
+/- warning: lie_hom.coe_to_linear_map -> LieHom.coe_toLinearMap is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_hom.coe_to_linear_map LieHom.coe_toLinearMapₓ'. -/
 @[simp, norm_cast]
-theorem coe_to_linearMap (f : L₁ →ₗ⁅R⁆ L₂) : ((f : L₁ →ₗ[R] L₂) : L₁ → L₂) = f :=
+theorem coe_toLinearMap (f : L₁ →ₗ⁅R⁆ L₂) : ((f : L₁ →ₗ[R] L₂) : L₁ → L₂) = f :=
   rfl
-#align lie_hom.coe_to_linear_map LieHom.coe_to_linearMap
-
+#align lie_hom.coe_to_linear_map LieHom.coe_toLinearMap
+
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 @[simp]
 theorem toFun_eq_coe (f : L₁ →ₗ⁅R⁆ L₂) : f.toFun = ⇑f :=
   rfl
 #align lie_hom.to_fun_eq_coe LieHom.toFun_eq_coe
 
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 @[simp]
 theorem map_smul (f : L₁ →ₗ⁅R⁆ L₂) (c : R) (x : L₁) : f (c • x) = c • f x :=
   LinearMap.map_smul (f : L₁ →ₗ[R] L₂) c x
 #align lie_hom.map_smul LieHom.map_smul
 
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 @[simp]
 theorem map_add (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x + y) = f x + f y :=
   LinearMap.map_add (f : L₁ →ₗ[R] L₂) x y
 #align lie_hom.map_add LieHom.map_add
 
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 @[simp]
 theorem map_sub (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f (x - y) = f x - f y :=
   LinearMap.map_sub (f : L₁ →ₗ[R] L₂) x y
 #align lie_hom.map_sub LieHom.map_sub
 
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 @[simp]
 theorem map_neg (f : L₁ →ₗ⁅R⁆ L₂) (x : L₁) : f (-x) = -f x :=
   LinearMap.map_neg (f : L₁ →ₗ[R] L₂) x
 #align lie_hom.map_neg LieHom.map_neg
 
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 @[simp]
 theorem map_lie (f : L₁ →ₗ⁅R⁆ L₂) (x y : L₁) : f ⁅x, y⁆ = ⁅f x, f y⁆ :=
   LieHom.map_lie' f
 #align lie_hom.map_lie LieHom.map_lie
 
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 @[simp]
 theorem map_zero (f : L₁ →ₗ⁅R⁆ L₂) : f 0 = 0 :=
   (f : L₁ →ₗ[R] L₂).map_zero
 #align lie_hom.map_zero LieHom.map_zero
 
+#print LieHom.id /-
 /-- The identity map is a morphism of Lie algebras. -/
 def id : L₁ →ₗ⁅R⁆ L₁ :=
   { (LinearMap.id : L₁ →ₗ[R] L₁) with map_lie' := fun x y => rfl }
 #align lie_hom.id LieHom.id
+-/
 
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 @[simp]
 theorem coe_id : ((id : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
   rfl
 #align lie_hom.coe_id LieHom.coe_id
 
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 theorem id_apply (x : L₁) : (id : L₁ →ₗ⁅R⁆ L₁) x = x :=
   rfl
 #align lie_hom.id_apply LieHom.id_apply
@@ -350,11 +530,23 @@ theorem id_apply (x : L₁) : (id : L₁ →ₗ⁅R⁆ L₁) x = x :=
 instance : Zero (L₁ →ₗ⁅R⁆ L₂) :=
   ⟨{ (0 : L₁ →ₗ[R] L₂) with map_lie' := by simp }⟩
 
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 @[norm_cast, simp]
 theorem coe_zero : ((0 : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = 0 :=
   rfl
 #align lie_hom.coe_zero LieHom.coe_zero
 
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 theorem zero_apply (x : L₁) : (0 : L₁ →ₗ⁅R⁆ L₂) x = 0 :=
   rfl
 #align lie_hom.zero_apply LieHom.zero_apply
@@ -363,11 +555,23 @@ theorem zero_apply (x : L₁) : (0 : L₁ →ₗ⁅R⁆ L₂) x = 0 :=
 instance : One (L₁ →ₗ⁅R⁆ L₁) :=
   ⟨id⟩
 
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 @[simp]
 theorem coe_one : ((1 : L₁ →ₗ⁅R⁆ L₁) : L₁ → L₁) = id :=
   rfl
 #align lie_hom.coe_one LieHom.coe_one
 
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 theorem one_apply (x : L₁) : (1 : L₁ →ₗ⁅R⁆ L₁) x = x :=
   rfl
 #align lie_hom.one_apply LieHom.one_apply
@@ -375,25 +579,55 @@ theorem one_apply (x : L₁) : (1 : L₁ →ₗ⁅R⁆ L₁) x = x :=
 instance : Inhabited (L₁ →ₗ⁅R⁆ L₂) :=
   ⟨0⟩
 
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 theorem coe_injective : @Function.Injective (L₁ →ₗ⁅R⁆ L₂) (L₁ → L₂) coeFn := by
   rintro ⟨⟨f, _⟩⟩ ⟨⟨g, _⟩⟩ ⟨h⟩ <;> congr
 #align lie_hom.coe_injective LieHom.coe_injective
 
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 @[ext]
 theorem ext {f g : L₁ →ₗ⁅R⁆ L₂} (h : ∀ x, f x = g x) : f = g :=
   coe_injective <| funext h
 #align lie_hom.ext LieHom.ext
 
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 theorem ext_iff {f g : L₁ →ₗ⁅R⁆ L₂} : f = g ↔ ∀ x, f x = g x :=
   ⟨by
     rintro rfl x
     rfl, ext⟩
 #align lie_hom.ext_iff LieHom.ext_iff
 
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 theorem congr_fun {f g : L₁ →ₗ⁅R⁆ L₂} (h : f = g) (x : L₁) : f x = g x :=
   h ▸ rfl
 #align lie_hom.congr_fun LieHom.congr_fun
 
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+Case conversion may be inaccurate. Consider using '#align lie_hom.mk_coe LieHom.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) = f :=
   by
@@ -401,11 +635,18 @@ theorem mk_coe (f : L₁ →ₗ⁅R⁆ L₂) (h₁ h₂ h₃) : (⟨⟨f, h₁,
   rfl
 #align lie_hom.mk_coe LieHom.mk_coe
 
+/- warning: lie_hom.coe_mk -> LieHom.coe_mk is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toHasAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toHasAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (f (SMul.smul.{u1, u2} R L₁ (SMulZeroClass.toHasSmul.{u1, u2} R L₁ (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R L₁ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L₁ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R L₁ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3))))) r x)) (SMul.smul.{u1, u3} R L₂ (SMulZeroClass.toHasSmul.{u1, u3} R L₂ (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R L₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R L₂ (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) 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_inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) (Bracket.bracket.{u2, u2} L₁ L₁ (LieRingModule.toHasBracket.{u2, u2} L₁ L₁ _inst_2 (LieRing.toAddCommGroup.{u2} L₁ _inst_2) (lieRingSelfModule.{u2} L₁ _inst_2)) x y)) (Bracket.bracket.{u3, u3} L₂ L₂ (LieRingModule.toHasBracket.{u3, u3} L₂ L₂ _inst_4 (LieRing.toAddCommGroup.{u3} L₂ _inst_4) (lieRingSelfModule.{u3} L₂ _inst_4)) (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) x) (LinearMap.toFun.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) y))), Eq.{max (succ u2) (succ u3)} ((fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) h₃)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) f h₁ h₂) h₃)) f
+but is expected to have type
+  forall {R : Type.{u1}} {L₁ : Type.{u2}} {L₂ : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L₁] [_inst_3 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : L₁ -> L₂) (h₁ : forall (x : L₁) (y : L₁), Eq.{succ u3} L₂ (f (HAdd.hAdd.{u2, u2, u2} L₁ L₁ L₁ (instHAdd.{u2} L₁ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)))))) x y)) (HAdd.hAdd.{u3, u3, u3} L₂ L₂ L₂ (instHAdd.{u3} L₂ (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)))))) (f x) (f y))) (h₂ : forall (r : R) (x : L₁), Eq.{succ u3} L₂ (AddHom.toFun.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ 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_x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.mk.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (LinearMap.mk.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) L₁ L₂ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L₁ _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (AddHom.mk.{u2, u3} L₁ L₂ (AddZeroClass.toAdd.{u2} L₁ (AddMonoid.toAddZeroClass.{u2} L₁ (AddCommMonoid.toAddMonoid.{u2} L₁ (AddCommGroup.toAddCommMonoid.{u2} L₁ (LieRing.toAddCommGroup.{u2} L₁ _inst_2))))) (AddZeroClass.toAdd.{u3} L₂ (AddMonoid.toAddZeroClass.{u3} L₂ (AddCommMonoid.toAddMonoid.{u3} L₂ (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4))))) f h₁) h₂) h₃)) f
+Case conversion may be inaccurate. Consider using '#align lie_hom.coe_mk LieHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : L₁ → L₂) (h₁ h₂ h₃) : ((⟨⟨f, h₁, h₂⟩, h₃⟩ : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = f :=
   rfl
 #align lie_hom.coe_mk LieHom.coe_mk
 
+#print LieHom.comp /-
 /-- The composition of morphisms is a morphism. -/
 def comp (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) : L₁ →ₗ⁅R⁆ L₃ :=
   { LinearMap.comp f.toLinearMap g.toLinearMap with
@@ -413,36 +654,61 @@ def comp (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) : L₁ →
       change f (g ⁅x, y⁆) = ⁅f (g x), f (g y)⁆
       rw [map_lie, map_lie] }
 #align lie_hom.comp LieHom.comp
+-/
 
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+Case conversion may be inaccurate. Consider using '#align lie_hom.comp_apply LieHom.comp_applyₓ'. -/
 theorem comp_apply (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) (x : L₁) : f.comp g x = f (g x) :=
   rfl
 #align lie_hom.comp_apply LieHom.comp_apply
 
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 @[norm_cast, simp]
 theorem coe_comp (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) : (f.comp g : L₁ → L₃) = f ∘ g :=
   rfl
 #align lie_hom.coe_comp LieHom.coe_comp
 
+#print LieHom.coe_linearMap_comp /-
 @[norm_cast, simp]
 theorem coe_linearMap_comp (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂) :
     (f.comp g : L₁ →ₗ[R] L₃) = (f : L₂ →ₗ[R] L₃).comp (g : L₁ →ₗ[R] L₂) :=
   rfl
 #align lie_hom.coe_linear_map_comp LieHom.coe_linearMap_comp
+-/
 
+#print LieHom.comp_id /-
 @[simp]
 theorem comp_id (f : L₁ →ₗ⁅R⁆ L₂) : f.comp (id : L₁ →ₗ⁅R⁆ L₁) = f :=
   by
   ext
   rfl
 #align lie_hom.comp_id LieHom.comp_id
+-/
 
+#print LieHom.id_comp /-
 @[simp]
 theorem id_comp (f : L₁ →ₗ⁅R⁆ L₂) : (id : L₂ →ₗ⁅R⁆ L₂).comp f = f :=
   by
   ext
   rfl
 #align lie_hom.id_comp LieHom.id_comp
+-/
 
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+Case conversion may be inaccurate. Consider using '#align lie_hom.inverse LieHom.inverseₓ'. -/
 /-- The inverse of a bijective morphism is a morphism. -/
 def inverse (f : L₁ →ₗ⁅R⁆ L₂) (g : L₂ → L₁) (h₁ : Function.LeftInverse g f)
     (h₂ : Function.RightInverse g f) : L₂ →ₗ⁅R⁆ L₁ :=
@@ -469,6 +735,7 @@ variable (f : L₁ →ₗ⁅R⁆ L₂)
 
 include f
 
+#print LieRingModule.compLieHom /-
 /-- A Lie ring module may be pulled back along a morphism of Lie algebras.
 
 See note [reducible non-instances]. -/
@@ -480,13 +747,21 @@ def LieRingModule.compLieHom : LieRingModule L₁ M
   add_lie x y m := by simp only [LieHom.map_add, add_lie]
   leibniz_lie x y m := by simp only [lie_lie, sub_add_cancel, LieHom.map_lie]
 #align lie_ring_module.comp_lie_hom LieRingModule.compLieHom
+-/
 
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 theorem LieRingModule.compLieHom_apply (x : L₁) (m : M) :
     haveI := LieRingModule.compLieHom M f
     ⁅x, m⁆ = ⁅f x, m⁆ :=
   rfl
 #align lie_ring_module.comp_lie_hom_apply LieRingModule.compLieHom_apply
 
+#print LieModule.compLieHom /-
 /-- A Lie module may be pulled back along a morphism of Lie algebras.
 
 See note [reducible non-instances]. -/
@@ -497,9 +772,11 @@ def LieModule.compLieHom [Module R M] [LieModule R L₂ M] :
   smul_lie t x m := by simp only [smul_lie, LieHom.map_smul]
   lie_smul t x m := by simp only [lie_smul]
 #align lie_module.comp_lie_hom LieModule.compLieHom
+-/
 
 end ModulePullBack
 
+#print LieEquiv /-
 /-- An equivalence of Lie algebras is a morphism which is also a linear equivalence. We could
 instead define an equivalence to be a morphism which is also a (plain) equivalence. However it is
 more convenient to define via linear equivalence to get `.to_linear_equiv` for free. -/
@@ -509,6 +786,7 @@ structure LieEquiv (R : Type u) (L : Type v) (L' : Type w) [CommRing R] [LieRing
   left_inv : Function.LeftInverse inv_fun to_lie_hom.toFun
   right_inv : Function.RightInverse inv_fun to_lie_hom.toFun
 #align lie_equiv LieEquiv
+-/
 
 attribute [nolint doc_blame] LieEquiv.toLieHom
 
@@ -523,33 +801,57 @@ variable [CommRing R] [LieRing L₁] [LieRing L₂] [LieRing L₃]
 
 variable [LieAlgebra R L₁] [LieAlgebra R L₂] [LieAlgebra R L₃]
 
+#print LieEquiv.toLinearEquiv /-
 /-- Consider an equivalence of Lie algebras as a linear equivalence. -/
 def toLinearEquiv (f : L₁ ≃ₗ⁅R⁆ L₂) : L₁ ≃ₗ[R] L₂ :=
   { f.toLieHom, f with }
 #align lie_equiv.to_linear_equiv LieEquiv.toLinearEquiv
+-/
 
+#print LieEquiv.hasCoeToLieHom /-
 instance hasCoeToLieHom : Coe (L₁ ≃ₗ⁅R⁆ L₂) (L₁ →ₗ⁅R⁆ L₂) :=
   ⟨toLieHom⟩
 #align lie_equiv.has_coe_to_lie_hom LieEquiv.hasCoeToLieHom
+-/
 
+#print LieEquiv.hasCoeToLinearEquiv /-
 instance hasCoeToLinearEquiv : Coe (L₁ ≃ₗ⁅R⁆ L₂) (L₁ ≃ₗ[R] L₂) :=
   ⟨toLinearEquiv⟩
 #align lie_equiv.has_coe_to_linear_equiv LieEquiv.hasCoeToLinearEquiv
+-/
 
 /-- see Note [function coercion] -/
 instance : CoeFun (L₁ ≃ₗ⁅R⁆ L₂) fun _ => L₁ → L₂ :=
   ⟨fun e => e.toLieHom.toFun⟩
 
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 @[simp, norm_cast]
 theorem coe_to_lieHom (e : L₁ ≃ₗ⁅R⁆ L₂) : ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) = e :=
   rfl
 #align lie_equiv.coe_to_lie_hom LieEquiv.coe_to_lieHom
 
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+Case conversion may be inaccurate. Consider using '#align lie_equiv.coe_to_linear_equiv LieEquiv.coe_to_linearEquivₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearEquiv (e : L₁ ≃ₗ⁅R⁆ L₂) : ((e : L₁ ≃ₗ[R] L₂) : L₁ → L₂) = e :=
   rfl
 #align lie_equiv.coe_to_linear_equiv LieEquiv.coe_to_linearEquiv
 
+/- warning: lie_equiv.to_linear_equiv_mk -> LieEquiv.to_linearEquiv_mk 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 lie_equiv.to_linear_equiv_mk LieEquiv.to_linearEquiv_mkₓ'. -/
 @[simp]
 theorem to_linearEquiv_mk (f : L₁ →ₗ⁅R⁆ L₂) (g h₁ h₂) :
     (mk f g h₁ h₂ : L₁ ≃ₗ[R] L₂) =
@@ -560,16 +862,30 @@ theorem to_linearEquiv_mk (f : L₁ →ₗ⁅R⁆ L₂) (g h₁ h₂) :
   rfl
 #align lie_equiv.to_linear_equiv_mk LieEquiv.to_linearEquiv_mk
 
+#print LieEquiv.coe_linearEquiv_injective /-
 theorem coe_linearEquiv_injective : Injective (coe : (L₁ ≃ₗ⁅R⁆ L₂) → L₁ ≃ₗ[R] L₂) :=
   by
   intro f₁ f₂ h; cases f₁; cases f₂; dsimp at h; simp only at h
   congr ; exacts[LieHom.coe_injective h.1, h.2]
 #align lie_equiv.coe_linear_equiv_injective LieEquiv.coe_linearEquiv_injective
+-/
 
+/- warning: lie_equiv.coe_injective -> LieEquiv.coe_injective is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_equiv.coe_injective LieEquiv.coe_injectiveₓ'. -/
 theorem coe_injective : @Injective (L₁ ≃ₗ⁅R⁆ L₂) (L₁ → L₂) coeFn :=
   LinearEquiv.coe_injective.comp coe_linearEquiv_injective
 #align lie_equiv.coe_injective LieEquiv.coe_injective
 
+/- warning: lie_equiv.ext -> LieEquiv.ext is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_equiv.ext LieEquiv.extₓ'. -/
 @[ext]
 theorem ext {f g : L₁ ≃ₗ⁅R⁆ L₂} (h : ∀ x, f x = g x) : f = g :=
   coe_injective <| funext h
@@ -578,6 +894,12 @@ theorem ext {f g : L₁ ≃ₗ⁅R⁆ L₂} (h : ∀ x, f x = g x) : f = g :=
 instance : One (L₁ ≃ₗ⁅R⁆ L₁) :=
   ⟨{ (1 : L₁ ≃ₗ[R] L₁) with map_lie' := fun x y => rfl }⟩
 
+/- warning: lie_equiv.one_apply -> LieEquiv.one_apply is a dubious translation:
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 @[simp]
 theorem one_apply (x : L₁) : (1 : L₁ ≃ₗ⁅R⁆ L₁) x = x :=
   rfl
@@ -586,85 +908,149 @@ theorem one_apply (x : L₁) : (1 : L₁ ≃ₗ⁅R⁆ L₁) x = x :=
 instance : Inhabited (L₁ ≃ₗ⁅R⁆ L₁) :=
   ⟨1⟩
 
+#print LieEquiv.refl /-
 /-- Lie algebra equivalences are reflexive. -/
 @[refl]
 def refl : L₁ ≃ₗ⁅R⁆ L₁ :=
   1
 #align lie_equiv.refl LieEquiv.refl
+-/
 
+/- warning: lie_equiv.refl_apply -> LieEquiv.refl_apply is a dubious translation:
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 @[simp]
 theorem refl_apply (x : L₁) : (refl : L₁ ≃ₗ⁅R⁆ L₁) x = x :=
   rfl
 #align lie_equiv.refl_apply LieEquiv.refl_apply
 
+#print LieEquiv.symm /-
 /-- Lie algebra equivalences are symmetric. -/
 @[symm]
 def symm (e : L₁ ≃ₗ⁅R⁆ L₂) : L₂ ≃ₗ⁅R⁆ L₁ :=
   { LieHom.inverse e.toLieHom e.invFun e.left_inv e.right_inv, e.toLinearEquiv.symm with }
 #align lie_equiv.symm LieEquiv.symm
+-/
 
+#print LieEquiv.symm_symm /-
 @[simp]
 theorem symm_symm (e : L₁ ≃ₗ⁅R⁆ L₂) : e.symm.symm = e :=
   by
   ext
   rfl
 #align lie_equiv.symm_symm LieEquiv.symm_symm
+-/
 
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 @[simp]
 theorem apply_symm_apply (e : L₁ ≃ₗ⁅R⁆ L₂) : ∀ x, e (e.symm x) = x :=
   e.toLinearEquiv.apply_symm_apply
 #align lie_equiv.apply_symm_apply LieEquiv.apply_symm_apply
 
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+Case conversion may be inaccurate. Consider using '#align lie_equiv.symm_apply_apply LieEquiv.symm_apply_applyₓ'. -/
 @[simp]
 theorem symm_apply_apply (e : L₁ ≃ₗ⁅R⁆ L₂) : ∀ x, e.symm (e x) = x :=
   e.toLinearEquiv.symm_apply_apply
 #align lie_equiv.symm_apply_apply LieEquiv.symm_apply_apply
 
+#print LieEquiv.refl_symm /-
 @[simp]
 theorem refl_symm : (refl : L₁ ≃ₗ⁅R⁆ L₁).symm = refl :=
   rfl
 #align lie_equiv.refl_symm LieEquiv.refl_symm
+-/
 
+#print LieEquiv.trans /-
 /-- Lie algebra equivalences are transitive. -/
 @[trans]
 def trans (e₁ : L₁ ≃ₗ⁅R⁆ L₂) (e₂ : L₂ ≃ₗ⁅R⁆ L₃) : L₁ ≃ₗ⁅R⁆ L₃ :=
   { LieHom.comp e₂.toLieHom e₁.toLieHom, LinearEquiv.trans e₁.toLinearEquiv e₂.toLinearEquiv with }
 #align lie_equiv.trans LieEquiv.trans
+-/
 
+#print LieEquiv.self_trans_symm /-
 @[simp]
 theorem self_trans_symm (e : L₁ ≃ₗ⁅R⁆ L₂) : e.trans e.symm = refl :=
   ext e.symm_apply_apply
 #align lie_equiv.self_trans_symm LieEquiv.self_trans_symm
+-/
 
+#print LieEquiv.symm_trans_self /-
 @[simp]
 theorem symm_trans_self (e : L₁ ≃ₗ⁅R⁆ L₂) : e.symm.trans e = refl :=
   e.symm.self_trans_symm
 #align lie_equiv.symm_trans_self LieEquiv.symm_trans_self
+-/
 
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 @[simp]
 theorem trans_apply (e₁ : L₁ ≃ₗ⁅R⁆ L₂) (e₂ : L₂ ≃ₗ⁅R⁆ L₃) (x : L₁) : (e₁.trans e₂) x = e₂ (e₁ x) :=
   rfl
 #align lie_equiv.trans_apply LieEquiv.trans_apply
 
+#print LieEquiv.symm_trans /-
 @[simp]
 theorem symm_trans (e₁ : L₁ ≃ₗ⁅R⁆ L₂) (e₂ : L₂ ≃ₗ⁅R⁆ L₃) :
     (e₁.trans e₂).symm = e₂.symm.trans e₁.symm :=
   rfl
 #align lie_equiv.symm_trans LieEquiv.symm_trans
+-/
 
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 protected theorem bijective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Bijective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
   e.toLinearEquiv.Bijective
 #align lie_equiv.bijective LieEquiv.bijective
 
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 protected theorem injective (e : L₁ ≃ₗ⁅R⁆ L₂) : Function.Injective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
   e.toLinearEquiv.Injective
 #align lie_equiv.injective LieEquiv.injective
 
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 protected theorem surjective (e : L₁ ≃ₗ⁅R⁆ L₂) :
     Function.Surjective ((e : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂) :=
   e.toLinearEquiv.Surjective
 #align lie_equiv.surjective LieEquiv.surjective
 
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+Case conversion may be inaccurate. Consider using '#align lie_equiv.of_bijective LieEquiv.ofBijectiveₓ'. -/
 /-- A bijective morphism of Lie algebras yields an equivalence of Lie algebras. -/
 @[simps]
 noncomputable def ofBijective (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Bijective f) : L₁ ≃ₗ⁅R⁆ L₂ :=
@@ -691,6 +1077,12 @@ variable [LieRingModule L M] [LieRingModule L N] [LieRingModule L P]
 
 variable [LieModule R L M] [LieModule R L N] [LieModule R L P]
 
+/- warning: lie_module_hom -> LieModuleHom is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom LieModuleHomₓ'. -/
 /-- A morphism of Lie algebra modules is a linear map which commutes with the action of the Lie
 algebra. -/
 structure LieModuleHom extends M →ₗ[R] N where
@@ -713,55 +1105,121 @@ instance : Coe (M →ₗ⁅R,L⁆ N) (M →ₗ[R] N) :=
 instance : CoeFun (M →ₗ⁅R,L⁆ N) fun _ => M → N :=
   ⟨fun f => f.toLinearMap.toFun⟩
 
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_to_linear_map LieModuleHom.coe_to_linearMapₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
   rfl
 #align lie_module_hom.coe_to_linear_map LieModuleHom.coe_to_linearMap
 
+/- warning: lie_module_hom.map_smul -> LieModuleHom.map_smul is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_smul LieModuleHom.map_smulₓ'. -/
 @[simp]
 theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c • f x :=
   LinearMap.map_smul (f : M →ₗ[R] N) c x
 #align lie_module_hom.map_smul LieModuleHom.map_smul
 
+/- warning: lie_module_hom.map_add -> LieModuleHom.map_add is a dubious translation:
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 @[simp]
 theorem map_add (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x + y) = f x + f y :=
   LinearMap.map_add (f : M →ₗ[R] N) x y
 #align lie_module_hom.map_add LieModuleHom.map_add
 
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 @[simp]
 theorem map_sub (f : M →ₗ⁅R,L⁆ N) (x y : M) : f (x - y) = f x - f y :=
   LinearMap.map_sub (f : M →ₗ[R] N) x y
 #align lie_module_hom.map_sub LieModuleHom.map_sub
 
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 @[simp]
 theorem map_neg (f : M →ₗ⁅R,L⁆ N) (x : M) : f (-x) = -f x :=
   LinearMap.map_neg (f : M →ₗ[R] N) x
 #align lie_module_hom.map_neg LieModuleHom.map_neg
 
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 @[simp]
 theorem map_lie (f : M →ₗ⁅R,L⁆ N) (x : L) (m : M) : f ⁅x, m⁆ = ⁅x, f m⁆ :=
   LieModuleHom.map_lie' f
 #align lie_module_hom.map_lie LieModuleHom.map_lie
 
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+but is expected to have type
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_14 : LieModule.{u1, u2, u5} R L P 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(instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) (f : L) (x : M) (m : N), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) m) (Bracket.bracket.{u2, u5} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) m) (LieRingModule.toBracket.{u2, u5} L ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) m) _inst_2 _inst_6 _inst_12) f (FunLike.coe.{max (succ u4) (succ u5), succ u4, succ u5} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10408 : M) => LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9) x) N (fun (a : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u4, u5} R R N P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6) _inst_8 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u5), succ u3, max (succ u4) (succ u5)} (LieModuleHom.{u1, u2, u3, max u5 u4} R L M (LinearMap.{u1, u1, u4, u5} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) N P (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) 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(instLieRingModuleLinearMapToSemiringToRingIdToNonAssocSemiringToAddCommMonoidToAddCommMonoidAddCommGroup.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_13 _inst_6 _inst_9 _inst_12 _inst_14)) _inst_15 x) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_5 _inst_11) f m)))
+Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_lie₂ LieModuleHom.map_lie₂ₓ'. -/
 theorem map_lie₂ (f : M →ₗ⁅R,L⁆ N →ₗ[R] P) (x : L) (m : M) (n : N) :
     ⁅x, f m n⁆ = f ⁅x, m⁆ n + f m ⁅x, n⁆ := by simp only [sub_add_cancel, map_lie, LieHom.lie_apply]
 #align lie_module_hom.map_lie₂ LieModuleHom.map_lie₂
 
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.map_zero LieModuleHom.map_zeroₓ'. -/
 @[simp]
 theorem map_zero (f : M →ₗ⁅R,L⁆ N) : f 0 = 0 :=
   LinearMap.map_zero (f : M →ₗ[R] N)
 #align lie_module_hom.map_zero LieModuleHom.map_zero
 
+/- warning: lie_module_hom.id -> LieModuleHom.id is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.id LieModuleHom.idₓ'. -/
 /-- The identity map is a morphism of Lie modules. -/
 def id : M →ₗ⁅R,L⁆ M :=
   { (LinearMap.id : M →ₗ[R] M) with map_lie' := fun x m => rfl }
 #align lie_module_hom.id LieModuleHom.id
 
+/- warning: lie_module_hom.coe_id -> LieModuleHom.coe_id is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_id LieModuleHom.coe_idₓ'. -/
 @[simp]
 theorem coe_id : ((id : M →ₗ⁅R,L⁆ M) : M → M) = id :=
   rfl
 #align lie_module_hom.coe_id LieModuleHom.coe_id
 
+/- warning: lie_module_hom.id_apply -> LieModuleHom.id_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.id_apply LieModuleHom.id_applyₓ'. -/
 theorem id_apply (x : M) : (id : M →ₗ⁅R,L⁆ M) x = x :=
   rfl
 #align lie_module_hom.id_apply LieModuleHom.id_apply
@@ -770,11 +1228,23 @@ theorem id_apply (x : M) : (id : M →ₗ⁅R,L⁆ M) x = x :=
 instance : Zero (M →ₗ⁅R,L⁆ N) :=
   ⟨{ (0 : M →ₗ[R] N) with map_lie' := by simp }⟩
 
+/- warning: lie_module_hom.coe_zero -> LieModuleHom.coe_zero is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_zero LieModuleHom.coe_zeroₓ'. -/
 @[norm_cast, simp]
 theorem coe_zero : ((0 : M →ₗ⁅R,L⁆ N) : M → N) = 0 :=
   rfl
 #align lie_module_hom.coe_zero LieModuleHom.coe_zero
 
+/- warning: lie_module_hom.zero_apply -> LieModuleHom.zero_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.zero_apply LieModuleHom.zero_applyₓ'. -/
 theorem zero_apply (m : M) : (0 : M →ₗ⁅R,L⁆ N) m = 0 :=
   rfl
 #align lie_module_hom.zero_apply LieModuleHom.zero_apply
@@ -786,27 +1256,57 @@ instance : One (M →ₗ⁅R,L⁆ M) :=
 instance : Inhabited (M →ₗ⁅R,L⁆ N) :=
   ⟨0⟩
 
+/- warning: lie_module_hom.coe_injective -> LieModuleHom.coe_injective is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_injective LieModuleHom.coe_injectiveₓ'. -/
 theorem coe_injective : @Function.Injective (M →ₗ⁅R,L⁆ N) (M → N) coeFn :=
   by
   rintro ⟨⟨f, _⟩⟩ ⟨⟨g, _⟩⟩ ⟨h⟩
   congr
 #align lie_module_hom.coe_injective LieModuleHom.coe_injective
 
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 @[ext]
 theorem ext {f g : M →ₗ⁅R,L⁆ N} (h : ∀ m, f m = g m) : f = g :=
   coe_injective <| funext h
 #align lie_module_hom.ext LieModuleHom.ext
 
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 theorem ext_iff {f g : M →ₗ⁅R,L⁆ N} : f = g ↔ ∀ m, f m = g m :=
   ⟨by
     rintro rfl m
     rfl, ext⟩
 #align lie_module_hom.ext_iff LieModuleHom.ext_iff
 
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 theorem congr_fun {f g : M →ₗ⁅R,L⁆ N} (h : f = g) (x : M) : f x = g x :=
   h ▸ rfl
 #align lie_module_hom.congr_fun LieModuleHom.congr_fun
 
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u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) (LinearMap.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_4) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5) _inst_7 _inst_8) (LieModuleHom.LinearMap.hasCoe.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 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+but is expected to have type
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (_inst_13 : forall {x : L} {m : M}, Eq.{succ u4} N (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (Bracket.bracket.{u2, u3} L M (LieRingModule.toBracket.{u2, u3} L M _inst_2 _inst_3 _inst_8) x m)) (Bracket.bracket.{u2, u4} L N (LieRingModule.toBracket.{u2, u4} L N _inst_2 _inst_4 _inst_10) x (AddHom.toFun.{u3, u4} M N (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)))) (LinearMap.toAddHom.{u1, u1, u3, u4} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) m))), Eq.{max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) (LieModuleHom.mk.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 (LieModuleHom.toLinearMap.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_13) _inst_11
+Case conversion may be inaccurate. Consider using '#align lie_module_hom.mk_coe LieModuleHom.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (f : M →ₗ⁅R,L⁆ N) (h) : (⟨f, h⟩ : M →ₗ⁅R,L⁆ N) = f :=
   by
@@ -814,6 +1314,12 @@ theorem mk_coe (f : M →ₗ⁅R,L⁆ N) (h) : (⟨f, h⟩ : M →ₗ⁅R,L⁆ N
   rfl
 #align lie_module_hom.mk_coe LieModuleHom.mk_coe
 
+/- warning: lie_module_hom.coe_mk -> LieModuleHom.coe_mk is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_mk LieModuleHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M → N) = f :=
   by
@@ -821,6 +1327,12 @@ theorem coe_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M
   rfl
 #align lie_module_hom.coe_mk LieModuleHom.coe_mk
 
+/- warning: lie_module_hom.coe_linear_mk -> LieModuleHom.coe_linear_mk 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 lie_module_hom.coe_linear_mk LieModuleHom.coe_linear_mkₓ'. -/
 @[norm_cast, simp]
 theorem coe_linear_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆ N) : M →ₗ[R] N) = f :=
   by
@@ -828,6 +1340,12 @@ theorem coe_linear_mk (f : M →ₗ[R] N) (h) : ((⟨f, h⟩ : M →ₗ⁅R,L⁆
   rfl
 #align lie_module_hom.coe_linear_mk LieModuleHom.coe_linear_mk
 
+/- warning: lie_module_hom.comp -> LieModuleHom.comp 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 lie_module_hom.comp LieModuleHom.compₓ'. -/
 /-- The composition of Lie module morphisms is a morphism. -/
 def comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : M →ₗ⁅R,L⁆ P :=
   { LinearMap.comp f.toLinearMap g.toLinearMap with
@@ -836,21 +1354,45 @@ def comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : M →ₗ⁅R,L⁆
       rw [map_lie, map_lie] }
 #align lie_module_hom.comp LieModuleHom.comp
 
+/- warning: lie_module_hom.comp_apply -> LieModuleHom.comp_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.comp_apply LieModuleHom.comp_applyₓ'. -/
 theorem comp_apply (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) (m : M) : f.comp g m = f (g m) :=
   rfl
 #align lie_module_hom.comp_apply LieModuleHom.comp_apply
 
+/- warning: lie_module_hom.coe_comp -> LieModuleHom.coe_comp is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_comp LieModuleHom.coe_compₓ'. -/
 @[norm_cast, simp]
 theorem coe_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : (f.comp g : M → P) = f ∘ g :=
   rfl
 #align lie_module_hom.coe_comp LieModuleHom.coe_comp
 
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 @[norm_cast, simp]
 theorem coe_linearMap_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) :
     (f.comp g : M →ₗ[R] P) = (f : N →ₗ[R] P).comp (g : M →ₗ[R] N) :=
   rfl
 #align lie_module_hom.coe_linear_map_comp LieModuleHom.coe_linearMap_comp
 
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 /-- The inverse of a bijective morphism of Lie modules is a morphism of Lie modules. -/
 def inverse (f : M →ₗ⁅R,L⁆ N) (g : N → M) (h₁ : Function.LeftInverse g f)
     (h₂ : Function.RightInverse g f) : N →ₗ⁅R,L⁆ M :=
@@ -871,55 +1413,127 @@ instance : Sub (M →ₗ⁅R,L⁆ N)
 
 instance : Neg (M →ₗ⁅R,L⁆ N) where neg f := { -(f : M →ₗ[R] N) with map_lie' := by simp }
 
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 @[norm_cast, simp]
 theorem coe_add (f g : M →ₗ⁅R,L⁆ N) : ⇑(f + g) = f + g :=
   rfl
 #align lie_module_hom.coe_add LieModuleHom.coe_add
 
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 theorem add_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f + g) m = f m + g m :=
   rfl
 #align lie_module_hom.add_apply LieModuleHom.add_apply
 
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 @[norm_cast, simp]
 theorem coe_sub (f g : M →ₗ⁅R,L⁆ N) : ⇑(f - g) = f - g :=
   rfl
 #align lie_module_hom.coe_sub LieModuleHom.coe_sub
 
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.sub_apply LieModuleHom.sub_applyₓ'. -/
 theorem sub_apply (f g : M →ₗ⁅R,L⁆ N) (m : M) : (f - g) m = f m - g m :=
   rfl
 #align lie_module_hom.sub_apply LieModuleHom.sub_apply
 
+/- warning: lie_module_hom.coe_neg -> LieModuleHom.coe_neg is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_neg LieModuleHom.coe_negₓ'. -/
 @[norm_cast, simp]
 theorem coe_neg (f : M →ₗ⁅R,L⁆ N) : ⇑(-f) = -f :=
   rfl
 #align lie_module_hom.coe_neg LieModuleHom.coe_neg
 
+/- warning: lie_module_hom.neg_apply -> LieModuleHom.neg_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.neg_apply LieModuleHom.neg_applyₓ'. -/
 theorem neg_apply (f : M →ₗ⁅R,L⁆ N) (m : M) : (-f) m = -f m :=
   rfl
 #align lie_module_hom.neg_apply LieModuleHom.neg_apply
 
+/- warning: lie_module_hom.has_nsmul -> LieModuleHom.hasNsmul 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 lie_module_hom.has_nsmul LieModuleHom.hasNsmulₓ'. -/
 instance hasNsmul : SMul ℕ (M →ₗ⁅R,L⁆ N)
     where smul n f := { n • (f : M →ₗ[R] N) with map_lie' := fun x m => by simp }
 #align lie_module_hom.has_nsmul LieModuleHom.hasNsmul
 
+/- warning: lie_module_hom.coe_nsmul -> LieModuleHom.coe_nsmul is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_nsmul LieModuleHom.coe_nsmulₓ'. -/
 @[norm_cast, simp]
 theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • f :=
   rfl
 #align lie_module_hom.coe_nsmul LieModuleHom.coe_nsmul
 
+/- warning: lie_module_hom.nsmul_apply -> LieModuleHom.nsmul_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.nsmul_apply LieModuleHom.nsmul_applyₓ'. -/
 theorem nsmul_apply (n : ℕ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (n • f) m = n • f m :=
   rfl
 #align lie_module_hom.nsmul_apply LieModuleHom.nsmul_apply
 
+/- warning: lie_module_hom.has_zsmul -> LieModuleHom.hasZsmul is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.has_zsmul LieModuleHom.hasZsmulₓ'. -/
 instance hasZsmul : SMul ℤ (M →ₗ⁅R,L⁆ N)
     where smul z f := { z • (f : M →ₗ[R] N) with map_lie' := fun x m => by simp }
 #align lie_module_hom.has_zsmul LieModuleHom.hasZsmul
 
+/- warning: lie_module_hom.coe_zsmul -> LieModuleHom.coe_zsmul is a dubious translation:
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 @[norm_cast, simp]
 theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • f :=
   rfl
 #align lie_module_hom.coe_zsmul LieModuleHom.coe_zsmul
 
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.zsmul_apply LieModuleHom.zsmul_applyₓ'. -/
 theorem zsmul_apply (z : ℤ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (z • f) m = z • f m :=
   rfl
 #align lie_module_hom.zsmul_apply LieModuleHom.zsmul_apply
@@ -930,11 +1544,23 @@ instance : AddCommGroup (M →ₗ⁅R,L⁆ N) :=
 
 instance : SMul R (M →ₗ⁅R,L⁆ N) where smul t f := { t • (f : M →ₗ[R] N) with map_lie' := by simp }
 
+/- warning: lie_module_hom.coe_smul -> LieModuleHom.coe_smul is a dubious translation:
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 @[norm_cast, simp]
 theorem coe_smul (t : R) (f : M →ₗ⁅R,L⁆ N) : ⇑(t • f) = t • f :=
   rfl
 #align lie_module_hom.coe_smul LieModuleHom.coe_smul
 
+/- warning: lie_module_hom.smul_apply -> LieModuleHom.smul_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.smul_apply LieModuleHom.smul_applyₓ'. -/
 theorem smul_apply (t : R) (f : M →ₗ⁅R,L⁆ N) (m : M) : (t • f) m = t • f m :=
   rfl
 #align lie_module_hom.smul_apply LieModuleHom.smul_apply
@@ -944,6 +1570,12 @@ instance : Module R (M →ₗ⁅R,L⁆ N) :=
 
 end LieModuleHom
 
+/- warning: lie_module_equiv -> LieModuleEquiv is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (L : Type.{u2}) (M : Type.{u3}) (N : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11], Sort.{max (succ u3) (succ u4)}
+but is expected to have type
+  forall (R : Type.{u1}) (L : Type.{u2}) (M : Type.{u3}) (N : Type.{u4}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], Sort.{max (succ u3) (succ u4)}
+Case conversion may be inaccurate. Consider using '#align lie_module_equiv LieModuleEquivₓ'. -/
 /-- An equivalence of Lie algebra modules is a linear equivalence which is also a morphism of
 Lie algebra modules. -/
 structure LieModuleEquiv extends M →ₗ⁅R,L⁆ N where
@@ -961,24 +1593,54 @@ namespace LieModuleEquiv
 
 variable {R L M N P}
 
+/- warning: lie_module_equiv.to_linear_equiv -> LieModuleEquiv.toLinearEquiv is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align lie_module_equiv.to_linear_equiv LieModuleEquiv.toLinearEquivₓ'. -/
 /-- View an equivalence of Lie modules as a linear equivalence. -/
 def toLinearEquiv (e : M ≃ₗ⁅R,L⁆ N) : M ≃ₗ[R] N :=
   { e with }
 #align lie_module_equiv.to_linear_equiv LieModuleEquiv.toLinearEquiv
 
+/- warning: lie_module_equiv.to_equiv -> LieModuleEquiv.toEquiv is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_equiv.to_equiv LieModuleEquiv.toEquivₓ'. -/
 /-- View an equivalence of Lie modules as a type level equivalence. -/
 def toEquiv (e : M ≃ₗ⁅R,L⁆ N) : M ≃ N :=
   { e with }
 #align lie_module_equiv.to_equiv LieModuleEquiv.toEquiv
 
+/- warning: lie_module_equiv.has_coe_to_equiv -> LieModuleEquiv.hasCoeToEquiv is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_equiv.has_coe_to_equiv LieModuleEquiv.hasCoeToEquivₓ'. -/
 instance hasCoeToEquiv : Coe (M ≃ₗ⁅R,L⁆ N) (M ≃ N) :=
   ⟨toEquiv⟩
 #align lie_module_equiv.has_coe_to_equiv LieModuleEquiv.hasCoeToEquiv
 
+/- warning: lie_module_equiv.has_coe_to_lie_module_hom -> LieModuleEquiv.hasCoeToLieModuleHom is a dubious translation:
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 instance hasCoeToLieModuleHom : Coe (M ≃ₗ⁅R,L⁆ N) (M →ₗ⁅R,L⁆ N) :=
   ⟨toLieModuleHom⟩
 #align lie_module_equiv.has_coe_to_lie_module_hom LieModuleEquiv.hasCoeToLieModuleHom
 
+/- warning: lie_module_equiv.has_coe_to_linear_equiv -> LieModuleEquiv.hasCoeToLinearEquiv is a dubious translation:
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 instance hasCoeToLinearEquiv : Coe (M ≃ₗ⁅R,L⁆ N) (M ≃ₗ[R] N) :=
   ⟨toLinearEquiv⟩
 #align lie_module_equiv.has_coe_to_linear_equiv LieModuleEquiv.hasCoeToLinearEquiv
@@ -987,26 +1649,56 @@ instance hasCoeToLinearEquiv : Coe (M ≃ₗ⁅R,L⁆ N) (M ≃ₗ[R] N) :=
 instance : CoeFun (M ≃ₗ⁅R,L⁆ N) fun _ => M → N :=
   ⟨fun e => e.toLieModuleHom.toFun⟩
 
+/- warning: lie_module_equiv.injective -> LieModuleEquiv.injective is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_equiv.injective LieModuleEquiv.injectiveₓ'. -/
 theorem injective (e : M ≃ₗ⁅R,L⁆ N) : Function.Injective e :=
   e.toEquiv.Injective
 #align lie_module_equiv.injective LieModuleEquiv.injective
 
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 @[simp]
 theorem coe_mk (f : M →ₗ⁅R,L⁆ N) (inv_fun h₁ h₂) :
     ((⟨f, inv_fun, h₁, h₂⟩ : M ≃ₗ⁅R,L⁆ N) : M → N) = f :=
   rfl
 #align lie_module_equiv.coe_mk LieModuleEquiv.coe_mk
 
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+Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_to_lie_module_hom LieModuleEquiv.coe_to_lieModuleHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_lieModuleHom (e : M ≃ₗ⁅R,L⁆ N) : ((e : M →ₗ⁅R,L⁆ N) : M → N) = e :=
   rfl
 #align lie_module_equiv.coe_to_lie_module_hom LieModuleEquiv.coe_to_lieModuleHom
 
+/- warning: lie_module_equiv.coe_to_linear_equiv -> LieModuleEquiv.coe_to_linearEquiv is a dubious translation:
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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u3, u4} R R M N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4) _inst_5 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (RingHomInvPair.ids.{u1} R (Ring.toSemiring.{u1} R 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_inst_10))) _inst_11)
+Case conversion may be inaccurate. Consider using '#align lie_module_equiv.coe_to_linear_equiv LieModuleEquiv.coe_to_linearEquivₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_linearEquiv (e : M ≃ₗ⁅R,L⁆ N) : ((e : M ≃ₗ[R] N) : M → N) = e :=
   rfl
 #align lie_module_equiv.coe_to_linear_equiv LieModuleEquiv.coe_to_linearEquiv
 
+/- warning: lie_module_equiv.to_equiv_injective -> LieModuleEquiv.toEquiv_injective is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_equiv.to_equiv_injective LieModuleEquiv.toEquiv_injectiveₓ'. -/
 theorem toEquiv_injective : Function.Injective (toEquiv : (M ≃ₗ⁅R,L⁆ N) → M ≃ N) := fun e₁ e₂ h =>
   by
   rcases e₁ with ⟨⟨⟩⟩; rcases e₂ with ⟨⟨⟩⟩
@@ -1020,6 +1712,12 @@ theorem toEquiv_injective : Function.Injective (toEquiv : (M ≃ₗ⁅R,L⁆ N)
   · exact inj.2
 #align lie_module_equiv.to_equiv_injective LieModuleEquiv.toEquiv_injective
 
+/- warning: lie_module_equiv.ext -> LieModuleEquiv.ext is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_equiv.ext LieModuleEquiv.extₓ'. -/
 @[ext]
 theorem ext (e₁ e₂ : M ≃ₗ⁅R,L⁆ N) (h : ∀ m, e₁ m = e₂ m) : e₁ = e₂ :=
   toEquiv_injective (Equiv.ext h)
@@ -1028,6 +1726,12 @@ theorem ext (e₁ e₂ : M ≃ₗ⁅R,L⁆ N) (h : ∀ m, e₁ m = e₂ m) : e
 instance : One (M ≃ₗ⁅R,L⁆ M) :=
   ⟨{ (1 : M ≃ₗ[R] M) with map_lie' := fun x m => rfl }⟩
 
+/- warning: lie_module_equiv.one_apply -> LieModuleEquiv.one_apply 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 lie_module_equiv.one_apply LieModuleEquiv.one_applyₓ'. -/
 @[simp]
 theorem one_apply (m : M) : (1 : M ≃ₗ⁅R,L⁆ M) m = m :=
   rfl
@@ -1036,17 +1740,35 @@ theorem one_apply (m : M) : (1 : M ≃ₗ⁅R,L⁆ M) m = m :=
 instance : Inhabited (M ≃ₗ⁅R,L⁆ M) :=
   ⟨1⟩
 
+/- warning: lie_module_equiv.refl -> LieModuleEquiv.refl is a dubious translation:
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+but is expected to have type
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : LieRingModule.{u2, u3} L M _inst_2 _inst_3], LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7
+Case conversion may be inaccurate. Consider using '#align lie_module_equiv.refl LieModuleEquiv.reflₓ'. -/
 /-- Lie module equivalences are reflexive. -/
 @[refl]
 def refl : M ≃ₗ⁅R,L⁆ M :=
   1
 #align lie_module_equiv.refl LieModuleEquiv.refl
 
+/- warning: lie_module_equiv.refl_apply -> LieModuleEquiv.refl_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 lie_module_equiv.refl_apply LieModuleEquiv.refl_applyₓ'. -/
 @[simp]
 theorem refl_apply (m : M) : (refl : M ≃ₗ⁅R,L⁆ M) m = m :=
   rfl
 #align lie_module_equiv.refl_apply LieModuleEquiv.refl_apply
 
+/- warning: lie_module_equiv.symm -> LieModuleEquiv.symm is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4], (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10) -> (LieModuleEquiv.{u1, u2, u4, u3} R L N M _inst_1 _inst_2 _inst_4 _inst_3 _inst_7 _inst_5 _inst_10 _inst_8)
+Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm LieModuleEquiv.symmₓ'. -/
 /-- Lie module equivalences are syemmtric. -/
 @[symm]
 def symm (e : M ≃ₗ⁅R,L⁆ N) : N ≃ₗ⁅R,L⁆ M :=
@@ -1054,16 +1776,34 @@ def symm (e : M ≃ₗ⁅R,L⁆ N) : N ≃ₗ⁅R,L⁆ M :=
     (e : M ≃ₗ[R] N).symm with }
 #align lie_module_equiv.symm LieModuleEquiv.symm
 
+/- warning: lie_module_equiv.apply_symm_apply -> LieModuleEquiv.apply_symm_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_equiv.apply_symm_apply LieModuleEquiv.apply_symm_applyₓ'. -/
 @[simp]
 theorem apply_symm_apply (e : M ≃ₗ⁅R,L⁆ N) : ∀ x, e (e.symm x) = x :=
   e.toLinearEquiv.apply_symm_apply
 #align lie_module_equiv.apply_symm_apply LieModuleEquiv.apply_symm_apply
 
+/- warning: lie_module_equiv.symm_apply_apply -> LieModuleEquiv.symm_apply_apply is a dubious translation:
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 @[simp]
 theorem symm_apply_apply (e : M ≃ₗ⁅R,L⁆ N) : ∀ x, e.symm (e x) = x :=
   e.toLinearEquiv.symm_apply_apply
 #align lie_module_equiv.symm_apply_apply LieModuleEquiv.symm_apply_apply
 
+/- warning: lie_module_equiv.symm_symm -> LieModuleEquiv.symm_symm 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 lie_module_equiv.symm_symm LieModuleEquiv.symm_symmₓ'. -/
 @[simp]
 theorem symm_symm (e : M ≃ₗ⁅R,L⁆ N) : e.symm.symm = e :=
   by
@@ -1072,6 +1812,12 @@ theorem symm_symm (e : M ≃ₗ⁅R,L⁆ N) : e.symm.symm = e :=
   simp
 #align lie_module_equiv.symm_symm LieModuleEquiv.symm_symm
 
+/- warning: lie_module_equiv.trans -> LieModuleEquiv.trans is a dubious translation:
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+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} {P : Type.{u5}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_6 : AddCommGroup.{u5} P] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_9 : Module.{u1, u5} R P (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u5} P _inst_6)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_12 : LieRingModule.{u2, u5} L P _inst_2 _inst_6] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] [_inst_15 : LieModule.{u1, u2, u5} R L P _inst_1 _inst_2 _inst_3 _inst_6 _inst_9 _inst_12], (LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14) -> (LieModuleEquiv.{u1, u2, u4, u5} R L N P _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_8 _inst_9 _inst_11 _inst_12 _inst_14 _inst_15) -> (LieModuleEquiv.{u1, u2, u3, u5} R L M P _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 _inst_9 _inst_10 _inst_12 _inst_13 _inst_15)
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align lie_module_equiv.trans LieModuleEquiv.transₓ'. -/
 /-- Lie module equivalences are transitive. -/
 @[trans]
 def trans (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) : M ≃ₗ⁅R,L⁆ P :=
@@ -1079,22 +1825,46 @@ def trans (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) : M ≃ₗ
     LinearEquiv.trans e₁.toLinearEquiv e₂.toLinearEquiv with }
 #align lie_module_equiv.trans LieModuleEquiv.trans
 
+/- warning: lie_module_equiv.trans_apply -> LieModuleEquiv.trans_apply is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align lie_module_equiv.trans_apply LieModuleEquiv.trans_applyₓ'. -/
 @[simp]
 theorem trans_apply (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) (m : M) : (e₁.trans e₂) m = e₂ (e₁ m) :=
   rfl
 #align lie_module_equiv.trans_apply LieModuleEquiv.trans_apply
 
+/- warning: lie_module_equiv.symm_trans -> LieModuleEquiv.symm_trans is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm_trans LieModuleEquiv.symm_transₓ'. -/
 @[simp]
 theorem symm_trans (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) :
     (e₁.trans e₂).symm = e₂.symm.trans e₁.symm :=
   rfl
 #align lie_module_equiv.symm_trans LieModuleEquiv.symm_trans
 
+/- warning: lie_module_equiv.self_trans_symm -> LieModuleEquiv.self_trans_symm is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (e : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10 _inst_13 _inst_13) (LieModuleEquiv.trans.{u1, u2, u3, u4, u3} R L M N M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_4 _inst_7 _inst_8 _inst_7 _inst_10 _inst_11 _inst_10 _inst_13 _inst_14 _inst_13 e (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 e)) (LieModuleEquiv.refl.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10 _inst_13)
+but is expected to have type
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u3} (LieModuleEquiv.{u1, u2, u3, u3} R L M M _inst_1 _inst_2 _inst_3 _inst_3 _inst_5 _inst_5 _inst_8 _inst_8) (LieModuleEquiv.trans.{u1, u2, u3, u4, u3} R L M N M _inst_1 _inst_2 _inst_3 _inst_4 _inst_3 _inst_5 _inst_7 _inst_5 _inst_8 _inst_10 _inst_8 _inst_11 (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11)) (LieModuleEquiv.refl.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_5 _inst_8)
+Case conversion may be inaccurate. Consider using '#align lie_module_equiv.self_trans_symm LieModuleEquiv.self_trans_symmₓ'. -/
 @[simp]
 theorem self_trans_symm (e : M ≃ₗ⁅R,L⁆ N) : e.trans e.symm = refl :=
   ext _ _ e.symm_apply_apply
 #align lie_module_equiv.self_trans_symm LieModuleEquiv.self_trans_symm
 
+/- warning: lie_module_equiv.symm_trans_self -> LieModuleEquiv.symm_trans_self is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : AddCommGroup.{u4} N] [_inst_7 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_5)] [_inst_10 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] [_inst_11 : LieRingModule.{u2, u4} L N _inst_2 _inst_5] [_inst_13 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_7 _inst_10] [_inst_14 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11] (e : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14), Eq.{succ u4} (LieModuleEquiv.{u1, u2, u4, u4} R L N N _inst_1 _inst_2 _inst_3 _inst_5 _inst_5 _inst_8 _inst_8 _inst_11 _inst_11 _inst_14 _inst_14) (LieModuleEquiv.trans.{u1, u2, u4, u3, u4} R L N M N _inst_1 _inst_2 _inst_3 _inst_5 _inst_4 _inst_5 _inst_8 _inst_7 _inst_8 _inst_11 _inst_10 _inst_11 _inst_14 _inst_13 _inst_14 (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11 _inst_13 _inst_14 e) e) (LieModuleEquiv.refl.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_5 _inst_8 _inst_11 _inst_14)
+but is expected to have type
+  forall {R : Type.{u1}} {L : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : AddCommGroup.{u4} N] [_inst_5 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_7 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_4)] [_inst_8 : LieRingModule.{u2, u3} L M _inst_2 _inst_3] [_inst_10 : LieRingModule.{u2, u4} L N _inst_2 _inst_4] (_inst_11 : LieModuleEquiv.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10), Eq.{succ u4} (LieModuleEquiv.{u1, u2, u4, u4} R L N N _inst_1 _inst_2 _inst_4 _inst_4 _inst_7 _inst_7 _inst_10 _inst_10) (LieModuleEquiv.trans.{u1, u2, u4, u3, u4} R L N M N _inst_1 _inst_2 _inst_4 _inst_3 _inst_4 _inst_7 _inst_5 _inst_7 _inst_10 _inst_8 _inst_10 (LieModuleEquiv.symm.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_7 _inst_8 _inst_10 _inst_11) _inst_11) (LieModuleEquiv.refl.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_4 _inst_7 _inst_10)
+Case conversion may be inaccurate. Consider using '#align lie_module_equiv.symm_trans_self LieModuleEquiv.symm_trans_selfₓ'. -/
 @[simp]
 theorem symm_trans_self (e : M ≃ₗ⁅R,L⁆ N) : e.symm.trans e = refl :=
   ext _ _ e.apply_symm_apply

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

This proves isKilling_of_equiv, which states that if a Lie algebra is isomorphic to a Killing Lie algebra, then it is Killing too.

This is a step towards the proof that all derivations over a finite dimensional semisimple Lie algebra are inner (see this thread). Indeed, the proof that I have formalized relies on the fact that such a Lie algebra L is isomorphic to ad(L), from which I want to infer that ad(L) is Killing.

@@ -598,6 +598,9 @@ theorem one_apply (x : L₁) : (1 : L₁ ≃ₗ⁅R⁆ L₁) x = x :=
 instance : Inhabited (L₁ ≃ₗ⁅R⁆ L₁) :=
   ⟨1⟩
 
+lemma map_lie (e : L₁ ≃ₗ⁅R⁆ L₂) (x y : L₁) : e ⁅x, y⁆ = ⁅e x, e y⁆ :=
+  LieHom.map_lie e.toLieHom x y
+
 /-- Lie algebra equivalences are reflexive. -/
 def refl : L₁ ≃ₗ⁅R⁆ L₁ :=
   1

Lemma names around cancellation of multiplication and division are a mess.

This PR renames a handful of them according to the following table (each big row contains the multiplicative statement, then the three rows contain the GroupWithZero lemma name, the Group lemma, the AddGroup lemma name).

| Statement | New name | Old name | |

@@ -209,7 +209,7 @@ theorem lie_zsmul (a : ℤ) : ⁅x, a • m⁆ = a • ⁅x, m⁆ :=
 #align lie_zsmul lie_zsmul
 
 @[simp]
-theorem lie_lie : ⁅⁅x, y⁆, m⁆ = ⁅x, ⁅y, m⁆⁆ - ⁅y, ⁅x, m⁆⁆ := by rw [leibniz_lie, add_sub_cancel]
+lemma lie_lie : ⁅⁅x, y⁆, m⁆ = ⁅x, ⁅y, m⁆⁆ - ⁅y, ⁅x, m⁆⁆ := by rw [leibniz_lie, add_sub_cancel_right]
 #align lie_lie lie_lie
 
 theorem lie_jacobi : ⁅x, ⁅y, z⁆⁆ + ⁅y, ⁅z, x⁆⁆ + ⁅z, ⁅x, y⁆⁆ = 0 := by

Empty lines were removed by executing the following Python script twice

import os
import re


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

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

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

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

@@ -99,13 +99,9 @@ class LieModule (R : Type u) (L : Type v) (M : Type w) [CommRing R] [LieRing L]
 section BasicProperties
 
 variable {R : Type u} {L : Type v} {M : Type w} {N : Type w₁}
-
 variable [CommRing R] [LieRing L] [LieAlgebra R L]
-
 variable [AddCommGroup M] [Module R M] [LieRingModule L M] [LieModule R L M]
-
 variable [AddCommGroup N] [Module R N] [LieRingModule L N] [LieModule R L N]
-
 variable (t : R) (x y z : L) (m n : M)
 
 @[simp]
@@ -293,13 +289,9 @@ notation:25 L " →ₗ⁅" R:25 "⁆ " L':0 => LieHom R L L'
 namespace LieHom
 
 variable {R : Type u} {L₁ : Type v} {L₂ : Type w} {L₃ : Type w₁}
-
 variable [CommRing R]
-
 variable [LieRing L₁] [LieAlgebra R L₁]
-
 variable [LieRing L₂] [LieAlgebra R L₂]
-
 variable [LieRing L₃] [LieAlgebra R L₃]
 
 attribute [coe] LieHom.toLinearMap
@@ -482,11 +474,8 @@ end LieHom
 section ModulePullBack
 
 variable {R : Type u} {L₁ : Type v} {L₂ : Type w} (M : Type w₁)
-
 variable [CommRing R] [LieRing L₁] [LieAlgebra R L₁] [LieRing L₂] [LieAlgebra R L₂]
-
 variable [AddCommGroup M] [LieRingModule L₂ M]
-
 variable (f : L₁ →ₗ⁅R⁆ L₂)
 
 /-- A Lie ring module may be pulled back along a morphism of Lie algebras.
@@ -538,9 +527,7 @@ notation:50 L " ≃ₗ⁅" R "⁆ " L' => LieEquiv R L L'
 namespace LieEquiv
 
 variable {R : Type u} {L₁ : Type v} {L₂ : Type w} {L₃ : Type w₁}
-
 variable [CommRing R] [LieRing L₁] [LieRing L₂] [LieRing L₃]
-
 variable [LieAlgebra R L₁] [LieAlgebra R L₂] [LieAlgebra R L₃]
 
 /-- Consider an equivalence of Lie algebras as a linear equivalence. -/
@@ -705,15 +692,10 @@ end LieEquiv
 section LieModuleMorphisms
 
 variable (R : Type u) (L : Type v) (M : Type w) (N : Type w₁) (P : Type w₂)
-
 variable [CommRing R] [LieRing L] [LieAlgebra R L]
-
 variable [AddCommGroup M] [AddCommGroup N] [AddCommGroup P]
-
 variable [Module R M] [Module R N] [Module R P]
-
 variable [LieRingModule L M] [LieRingModule L N] [LieRingModule L P]
-
 variable [LieModule R L M] [LieModule R L N] [LieModule R L P]
 
 /-- A morphism of Lie algebra modules is a linear map which commutes with the action of the Lie

This is a very large PR, but it has been reviewed piecemeal already in PRs to the bump/v4.7.0 branch as we update to intermediate nightlies.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: damiano <adomani@gmail.com>

@@ -508,7 +508,7 @@ theorem LieRingModule.compLieHom_apply (x : L₁) (m : M) :
 /-- A Lie module may be pulled back along a morphism of Lie algebras. -/
 theorem LieModule.compLieHom [Module R M] [LieModule R L₂ M] :
     @LieModule R L₁ M _ _ _ _ _ (LieRingModule.compLieHom M f) :=
-  { LieRingModule.compLieHom M f with
+  { __ := LieRingModule.compLieHom M f
     smul_lie := fun t x m => by
       simp only [LieRingModule.compLieHom_apply, smul_lie, LieHom.map_smul]
     lie_smul := fun t x m => by

Fix 1 typo, 5 lowercase, 4 header depths

@@ -41,7 +41,7 @@ are partially unbundled.
 ## References
 * [N. Bourbaki, *Lie Groups and Lie Algebras, Chapters 1--3*](bourbaki1975)
 
-## Tagsc
+## Tags
 
 lie bracket, jacobi identity, lie ring, lie algebra, lie module
 -/

@@ -741,6 +741,8 @@ instance : FunLike (M →ₗ⁅R, L⁆ N) M N :=
     coe_injective' := fun x y h =>
       by cases x; cases y; simp at h; simp [h] }
 
+initialize_simps_projections LieModuleHom (toFun → apply)
+
 @[simp, norm_cast]
 theorem coe_toLinearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
   rfl

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

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

@@ -307,7 +307,7 @@ attribute [coe] LieHom.toLinearMap
 instance : Coe (L₁ →ₗ⁅R⁆ L₂) (L₁ →ₗ[R] L₂) :=
   ⟨LieHom.toLinearMap⟩
 
-instance : DFunLike (L₁ →ₗ⁅R⁆ L₂) L₁ (fun _ => L₂) :=
+instance : FunLike (L₁ →ₗ⁅R⁆ L₂) L₁ L₂ :=
   { coe := fun f => f.toFun,
     coe_injective' := fun x y h =>
       by cases x; cases y; simp at h; simp [h] }
@@ -736,7 +736,7 @@ attribute [coe] LieModuleHom.toLinearMap
 instance : CoeOut (M →ₗ⁅R,L⁆ N) (M →ₗ[R] N) :=
   ⟨LieModuleHom.toLinearMap⟩
 
-instance : DFunLike (M →ₗ⁅R, L⁆ N) M (fun _ => N) :=
+instance : FunLike (M →ₗ⁅R, L⁆ N) M N :=
   { coe := fun f => f.toFun,
     coe_injective' := fun x y h =>
       by cases x; cases y; simp at h; simp [h] }

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>

@@ -307,7 +307,7 @@ attribute [coe] LieHom.toLinearMap
 instance : Coe (L₁ →ₗ⁅R⁆ L₂) (L₁ →ₗ[R] L₂) :=
   ⟨LieHom.toLinearMap⟩
 
-instance : FunLike (L₁ →ₗ⁅R⁆ L₂) L₁ (fun _ => L₂) :=
+instance : DFunLike (L₁ →ₗ⁅R⁆ L₂) L₁ (fun _ => L₂) :=
   { coe := fun f => f.toFun,
     coe_injective' := fun x y h =>
       by cases x; cases y; simp at h; simp [h] }
@@ -736,7 +736,7 @@ attribute [coe] LieModuleHom.toLinearMap
 instance : CoeOut (M →ₗ⁅R,L⁆ N) (M →ₗ[R] N) :=
   ⟨LieModuleHom.toLinearMap⟩
 
-instance : FunLike (M →ₗ⁅R, L⁆ N) M (fun _ => N) :=
+instance : DFunLike (M →ₗ⁅R, L⁆ N) M (fun _ => N) :=
   { coe := fun f => f.toFun,
     coe_injective' := fun x y h =>
       by cases x; cases y; simp at h; simp [h] }

Normalising to naming convention rule number 6.

@@ -921,9 +921,9 @@ theorem neg_apply (f : M →ₗ⁅R,L⁆ N) (m : M) : (-f) m = -f m :=
   rfl
 #align lie_module_hom.neg_apply LieModuleHom.neg_apply
 
-instance hasNsmul : SMul ℕ (M →ₗ⁅R,L⁆ N) where
+instance hasNSMul : SMul ℕ (M →ₗ⁅R,L⁆ N) where
   smul n f := { n • (f : M →ₗ[R] N) with map_lie' := by simp }
-#align lie_module_hom.has_nsmul LieModuleHom.hasNsmul
+#align lie_module_hom.has_nsmul LieModuleHom.hasNSMul
 
 @[norm_cast, simp]
 theorem coe_nsmul (n : ℕ) (f : M →ₗ⁅R,L⁆ N) : ⇑(n • f) = n • (⇑f) :=
@@ -934,9 +934,9 @@ theorem nsmul_apply (n : ℕ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (n • f) m =
   rfl
 #align lie_module_hom.nsmul_apply LieModuleHom.nsmul_apply
 
-instance hasZsmul : SMul ℤ (M →ₗ⁅R,L⁆ N) where
+instance hasZSMul : SMul ℤ (M →ₗ⁅R,L⁆ N) where
   smul z f := { z • (f : M →ₗ[R] N) with map_lie' := by simp }
-#align lie_module_hom.has_zsmul LieModuleHom.hasZsmul
+#align lie_module_hom.has_zsmul LieModuleHom.hasZSMul
 
 @[norm_cast, simp]
 theorem coe_zsmul (z : ℤ) (f : M →ₗ⁅R,L⁆ N) : ⇑(z • f) = z • (⇑f) :=

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: lines <34025592+linesthatinterlace@users.noreply.github.com>

@@ -633,6 +633,9 @@ theorem symm_symm (e : L₁ ≃ₗ⁅R⁆ L₂) : e.symm.symm = e := by
   rfl
 #align lie_equiv.symm_symm LieEquiv.symm_symm
 
+theorem symm_bijective : Function.Bijective (LieEquiv.symm : (L₁ ≃ₗ⁅R⁆ L₂) → L₂ ≃ₗ⁅R⁆ L₁) :=
+  Function.bijective_iff_has_inverse.mpr ⟨_, symm_symm, symm_symm⟩
+
 @[simp]
 theorem apply_symm_apply (e : L₁ ≃ₗ⁅R⁆ L₂) : ∀ x, e (e.symm x) = x :=
   e.toLinearEquiv.apply_symm_apply
@@ -1108,6 +1111,10 @@ theorem symm_symm (e : M ≃ₗ⁅R,L⁆ N) : e.symm.symm = e := by
   rfl
 #align lie_module_equiv.symm_symm LieModuleEquiv.symm_symm
 
+theorem symm_bijective :
+    Function.Bijective (LieModuleEquiv.symm : (M ≃ₗ⁅R,L⁆ N) → N ≃ₗ⁅R,L⁆ M) :=
+  Function.bijective_iff_has_inverse.mpr ⟨_, symm_symm, symm_symm⟩
+
 /-- Lie module equivalences are transitive. -/
 @[trans]
 def trans (e₁ : M ≃ₗ⁅R,L⁆ N) (e₂ : N ≃ₗ⁅R,L⁆ P) : M ≃ₗ⁅R,L⁆ P :=

This reduces the file from ~2600 lines to ~1600 lines.

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

@@ -3,7 +3,6 @@ Copyright (c) 2019 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
 -/
-import Mathlib.Algebra.Module.Equiv
 import Mathlib.Data.Bracket
 import Mathlib.LinearAlgebra.Basic
 

@@ -222,10 +222,10 @@ theorem lie_jacobi : ⁅x, ⁅y, z⁆⁆ + ⁅y, ⁅z, x⁆⁆ + ⁅z, ⁅x, y
   abel
 #align lie_jacobi lie_jacobi
 
-instance LieRing.intLieAlgebra : LieAlgebra ℤ L where lie_smul n x y := lie_zsmul x y n
-#align lie_ring.int_lie_algebra LieRing.intLieAlgebra
+instance LieRing.instLieAlgebra : LieAlgebra ℤ L where lie_smul n x y := lie_zsmul x y n
+#align lie_ring.int_lie_algebra LieRing.instLieAlgebra
 
-instance : LieRingModule L (M →ₗ[R] N) where
+instance LinearMap.instLieRingModule : LieRingModule L (M →ₗ[R] N) where
   bracket x f :=
     { toFun := fun m => ⁅x, f m⁆ - f ⁅x, m⁆
       map_add' := fun m n => by
@@ -252,7 +252,7 @@ theorem LieHom.lie_apply (f : M →ₗ[R] N) (x : L) (m : M) : ⁅x, f⁆ m = 
   rfl
 #align lie_hom.lie_apply LieHom.lie_apply
 
-instance : LieModule R L (M →ₗ[R] N)
+instance LinearMap.instLieModule : LieModule R L (M →ₗ[R] N)
     where
   smul_lie t x f := by
     ext n
@@ -261,6 +261,24 @@ instance : LieModule R L (M →ₗ[R] N)
     ext n
     simp only [smul_sub, LinearMap.smul_apply, LieHom.lie_apply, lie_smul]
 
+/-- We could avoid defining this by instead defining a `LieRingModule L R` instance with a zero
+bracket and relying on `LinearMap.instLieRingModule`. We do not do this because in the case that
+`L = R` we would have a non-defeq diamond via `Ring.instBracket`. -/
+instance Module.Dual.instLieRingModule : LieRingModule L (M →ₗ[R] R) where
+  bracket := fun x f ↦
+    { toFun := fun m ↦ - f ⁅x, m⁆
+      map_add' := by simp [-neg_add_rev, neg_add]
+      map_smul' := by simp }
+  add_lie := fun x y m ↦ by ext n; simp [-neg_add_rev, neg_add]
+  lie_add := fun x m n ↦ by ext p; simp [-neg_add_rev, neg_add]
+  leibniz_lie := fun x m n ↦ by ext p; simp
+
+@[simp] lemma Module.Dual.lie_apply (f : M →ₗ[R] R) : ⁅x, f⁆ m = - f ⁅x, m⁆ := rfl
+
+instance Module.Dual.instLieModule : LieModule R L (M →ₗ[R] R) where
+  smul_lie := fun t x m ↦ by ext n; simp
+  lie_smul := fun t x m ↦ by ext n; simp
+
 end BasicProperties
 
 /-- A morphism of Lie algebras is a linear map respecting the bracket operations. -/

These are all motivated by a result I've proved but I believe they make sense in their own right so I have split them out in the hopes of simplifying review.

@@ -1001,10 +1001,15 @@ instance : EquivLike (M ≃ₗ⁅R,L⁆ N) M N :=
     coe_injective' := fun f g h₁ h₂ =>
       by cases f; cases g; simp at h₁ h₂; simp [*] }
 
+@[simp] lemma coe_coe (e : M ≃ₗ⁅R,L⁆ N) : ⇑(e : M →ₗ⁅R,L⁆ N) = e := rfl
+
 theorem injective (e : M ≃ₗ⁅R,L⁆ N) : Function.Injective e :=
   e.toEquiv.injective
 #align lie_module_equiv.injective LieModuleEquiv.injective
 
+theorem surjective (e : M ≃ₗ⁅R,L⁆ N) : Function.Surjective e :=
+  e.toEquiv.surjective
+
 @[simp]
 theorem toEquiv_mk (f : M →ₗ⁅R,L⁆ N) (g : N → M) (h₁ h₂) :
     toEquiv (mk f g h₁ h₂ : M ≃ₗ⁅R,L⁆ N) = Equiv.mk f g h₁ h₂ :=
@@ -1077,6 +1082,10 @@ theorem symm_apply_apply (e : M ≃ₗ⁅R,L⁆ N) : ∀ x, e.symm (e x) = x :=
   e.toLinearEquiv.symm_apply_apply
 #align lie_module_equiv.symm_apply_apply LieModuleEquiv.symm_apply_apply
 
+theorem apply_eq_iff_eq_symm_apply {m : M} {n : N} (e : M ≃ₗ⁅R,L⁆ N) :
+    e m = n ↔ m = e.symm n :=
+  (e : M ≃ N).apply_eq_iff_eq_symm_apply
+
 @[simp]
 theorem symm_symm (e : M ≃ₗ⁅R,L⁆ N) : e.symm.symm = e := by
   rfl

Co-authored-by: Moritz Firsching <firsching@google.com>

@@ -1007,7 +1007,7 @@ theorem injective (e : M ≃ₗ⁅R,L⁆ N) : Function.Injective e :=
 
 @[simp]
 theorem toEquiv_mk (f : M →ₗ⁅R,L⁆ N) (g : N → M) (h₁ h₂) :
-  toEquiv (mk f g h₁ h₂ : M ≃ₗ⁅R,L⁆ N) = Equiv.mk f g h₁ h₂ :=
+    toEquiv (mk f g h₁ h₂ : M ≃ₗ⁅R,L⁆ N) = Equiv.mk f g h₁ h₂ :=
   rfl
 
 @[simp]

@@ -866,11 +866,11 @@ def inverse (f : M →ₗ⁅R,L⁆ N) (g : N → M) (h₁ : Function.LeftInverse
          }
 #align lie_module_hom.inverse LieModuleHom.inverse
 
-instance : Add (M →ₗ⁅R,L⁆ N)
-    where add f g := { (f : M →ₗ[R] N) + (g : M →ₗ[R] N) with map_lie' := by simp }
+instance : Add (M →ₗ⁅R,L⁆ N) where
+  add f g := { (f : M →ₗ[R] N) + (g : M →ₗ[R] N) with map_lie' := by simp }
 
-instance : Sub (M →ₗ⁅R,L⁆ N)
-    where sub f g := { (f : M →ₗ[R] N) - (g : M →ₗ[R] N) with map_lie' := by simp }
+instance : Sub (M →ₗ⁅R,L⁆ N) where
+  sub f g := { (f : M →ₗ[R] N) - (g : M →ₗ[R] N) with map_lie' := by simp }
 
 instance : Neg (M →ₗ⁅R,L⁆ N) where neg f := { -(f : M →ₗ[R] N) with map_lie' := by simp }
 
@@ -901,8 +901,8 @@ theorem neg_apply (f : M →ₗ⁅R,L⁆ N) (m : M) : (-f) m = -f m :=
   rfl
 #align lie_module_hom.neg_apply LieModuleHom.neg_apply
 
-instance hasNsmul : SMul ℕ (M →ₗ⁅R,L⁆ N)
-    where smul n f := { n • (f : M →ₗ[R] N) with map_lie' := by simp }
+instance hasNsmul : SMul ℕ (M →ₗ⁅R,L⁆ N) where
+  smul n f := { n • (f : M →ₗ[R] N) with map_lie' := by simp }
 #align lie_module_hom.has_nsmul LieModuleHom.hasNsmul
 
 @[norm_cast, simp]
@@ -914,8 +914,8 @@ theorem nsmul_apply (n : ℕ) (f : M →ₗ⁅R,L⁆ N) (m : M) : (n • f) m =
   rfl
 #align lie_module_hom.nsmul_apply LieModuleHom.nsmul_apply
 
-instance hasZsmul : SMul ℤ (M →ₗ⁅R,L⁆ N)
-    where smul z f := { z • (f : M →ₗ[R] N) with map_lie' := by simp }
+instance hasZsmul : SMul ℤ (M →ₗ⁅R,L⁆ N) where
+  smul z f := { z • (f : M →ₗ[R] N) with map_lie' := by simp }
 #align lie_module_hom.has_zsmul LieModuleHom.hasZsmul
 
 @[norm_cast, simp]

This makes it easier to refactor the order or inheritance structure of morphisms without having to change all of the anonymous constructors.

This is far from exhaustive.

@@ -187,22 +187,30 @@ theorem lie_sub : ⁅x, m - n⁆ = ⁅x, m⁆ - ⁅x, n⁆ := by simp [sub_eq_ad
 
 @[simp]
 theorem nsmul_lie (n : ℕ) : ⁅n • x, m⁆ = n • ⁅x, m⁆ :=
-  AddMonoidHom.map_nsmul ⟨⟨fun x : L => ⁅x, m⁆, zero_lie m⟩, fun _ _ => add_lie _ _ _⟩ _ _
+  AddMonoidHom.map_nsmul
+    { toFun := fun x : L => ⁅x, m⁆, map_zero' := zero_lie m, map_add' := fun _ _ => add_lie _ _ _ }
+    _ _
 #align nsmul_lie nsmul_lie
 
 @[simp]
 theorem lie_nsmul (n : ℕ) : ⁅x, n • m⁆ = n • ⁅x, m⁆ :=
-  AddMonoidHom.map_nsmul ⟨⟨fun m : M => ⁅x, m⁆, lie_zero x⟩, fun _ _ => lie_add _ _ _⟩ _ _
+  AddMonoidHom.map_nsmul
+    { toFun := fun m : M => ⁅x, m⁆, map_zero' := lie_zero x, map_add' := fun _ _ => lie_add _ _ _}
+    _ _
 #align lie_nsmul lie_nsmul
 
 @[simp]
 theorem zsmul_lie (a : ℤ) : ⁅a • x, m⁆ = a • ⁅x, m⁆ :=
-  AddMonoidHom.map_zsmul ⟨⟨fun x : L => ⁅x, m⁆, zero_lie m⟩, fun _ _ => add_lie _ _ _⟩ _ _
+  AddMonoidHom.map_zsmul
+    { toFun := fun x : L => ⁅x, m⁆, map_zero' := zero_lie m, map_add' := fun _ _ => add_lie _ _ _ }
+    _ _
 #align zsmul_lie zsmul_lie
 
 @[simp]
 theorem lie_zsmul (a : ℤ) : ⁅x, a • m⁆ = a • ⁅x, m⁆ :=
-  AddMonoidHom.map_zsmul ⟨⟨fun m : M => ⁅x, m⁆, lie_zero x⟩, fun _ _ => lie_add _ _ _⟩ _ _
+  AddMonoidHom.map_zsmul
+    { toFun := fun m : M => ⁅x, m⁆, map_zero' := lie_zero x, map_add' := fun _ _ => lie_add _ _ _ }
+    _ _
 #align lie_zsmul lie_zsmul
 
 @[simp]
@@ -935,7 +943,9 @@ theorem smul_apply (t : R) (f : M →ₗ⁅R,L⁆ N) (m : M) : (t • f) m = t 
 #align lie_module_hom.smul_apply LieModuleHom.smul_apply
 
 instance : Module R (M →ₗ⁅R,L⁆ N) :=
-  Function.Injective.module R ⟨⟨fun f => f.toLinearMap.toFun, rfl⟩, coe_add⟩ coe_injective coe_smul
+  Function.Injective.module R
+    { toFun := fun f => f.toLinearMap.toFun, map_zero' := rfl, map_add' := coe_add }
+    coe_injective coe_smul
 
 end LieModuleHom
 

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

This has nice performance benefits.

@@ -256,7 +256,7 @@ instance : LieModule R L (M →ₗ[R] N)
 end BasicProperties
 
 /-- A morphism of Lie algebras is a linear map respecting the bracket operations. -/
-structure LieHom (R L L': Type _) [CommRing R] [LieRing L] [LieAlgebra R L]
+structure LieHom (R L L': Type*) [CommRing R] [LieRing L] [LieAlgebra R L]
   [LieRing L'] [LieAlgebra R L'] extends L →ₗ[R] L' where
   /-- A morphism of Lie algebras is compatible with brackets. -/
   map_lie' : ∀ {x y : L}, toFun ⁅x, y⁆ = ⁅toFun x, toFun y⁆

@@ -90,7 +90,7 @@ class LieRingModule (L : Type v) (M : Type w) [LieRing L] [AddCommGroup M] exten
 /-- A Lie module is a module over a commutative ring, together with a linear action of a Lie
 algebra on this module, such that the Lie bracket acts as the commutator of endomorphisms. -/
 class LieModule (R : Type u) (L : Type v) (M : Type w) [CommRing R] [LieRing L] [LieAlgebra R L]
-  [AddCommGroup M] [Module R M] [LieRingModule L M] where
+  [AddCommGroup M] [Module R M] [LieRingModule L M] : Prop where
   /-- A Lie module bracket is compatible with scalar multiplication in its first argument. -/
   protected smul_lie : ∀ (t : R) (x : L) (m : M), ⁅t • x, m⁆ = t • ⁅x, m⁆
   /-- A Lie module bracket is compatible with scalar multiplication in its second argument. -/
@@ -467,9 +467,7 @@ variable (f : L₁ →ₗ⁅R⁆ L₂)
 /-- A Lie ring module may be pulled back along a morphism of Lie algebras.
 
 See note [reducible non-instances]. -/
-@[reducible]
-def LieRingModule.compLieHom : LieRingModule L₁ M
-    where
+def LieRingModule.compLieHom : LieRingModule L₁ M where
   bracket x m := ⁅f x, m⁆
   lie_add x := lie_add (f x)
   add_lie x y m := by simp only [LieHom.map_add, add_lie]
@@ -482,11 +480,8 @@ theorem LieRingModule.compLieHom_apply (x : L₁) (m : M) :
   rfl
 #align lie_ring_module.comp_lie_hom_apply LieRingModule.compLieHom_apply
 
-/-- A Lie module may be pulled back along a morphism of Lie algebras.
-
-See note [reducible non-instances]. -/
-@[reducible]
-def LieModule.compLieHom [Module R M] [LieModule R L₂ M] :
+/-- A Lie module may be pulled back along a morphism of Lie algebras. -/
+theorem LieModule.compLieHom [Module R M] [LieModule R L₂ M] :
     @LieModule R L₁ M _ _ _ _ _ (LieRingModule.compLieHom M f) :=
   { LieRingModule.compLieHom M f with
     smul_lie := fun t x m => by

• 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) 2019 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
-
-! This file was ported from Lean 3 source module algebra.lie.basic
-! leanprover-community/mathlib commit dc6c365e751e34d100e80fe6e314c3c3e0fd2988
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Module.Equiv
 import Mathlib.Data.Bracket
 import Mathlib.LinearAlgebra.Basic
 
+#align_import algebra.lie.basic from "leanprover-community/mathlib"@"dc6c365e751e34d100e80fe6e314c3c3e0fd2988"
+
 /-!
 # Lie algebras
 

Grepping for [^ .:{-] [^ :] and reviewing the results. Once I started I couldn't stop. :-)

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

@@ -288,7 +288,7 @@ instance : Coe (L₁ →ₗ⁅R⁆ L₂) (L₁ →ₗ[R] L₂) :=
 instance : FunLike (L₁ →ₗ⁅R⁆ L₂) L₁ (fun _ => L₂) :=
   { coe := fun f => f.toFun,
     coe_injective' := fun x y h =>
-      by cases x; cases y; simp at h; simp [h]  }
+      by cases x; cases y; simp at h; simp [h] }
 
 initialize_simps_projections LieHom (toFun → apply)
 
@@ -719,7 +719,7 @@ instance : CoeOut (M →ₗ⁅R,L⁆ N) (M →ₗ[R] N) :=
 instance : FunLike (M →ₗ⁅R, L⁆ N) M (fun _ => N) :=
   { coe := fun f => f.toFun,
     coe_injective' := fun x y h =>
-      by cases x; cases y; simp at h; simp [h]  }
+      by cases x; cases y; simp at h; simp [h] }
 
 @[simp, norm_cast]
 theorem coe_toLinearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
@@ -843,7 +843,7 @@ theorem comp_apply (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) (m : M) :
 #align lie_module_hom.comp_apply LieModuleHom.comp_apply
 
 @[norm_cast, simp]
-theorem coe_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : ⇑(f.comp g)  = f ∘ g :=
+theorem coe_comp (f : N →ₗ⁅R,L⁆ P) (g : M →ₗ⁅R,L⁆ N) : ⇑(f.comp g) = f ∘ g :=
   rfl
 #align lie_module_hom.coe_comp LieModuleHom.coe_comp
 

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

@@ -950,7 +950,7 @@ end LieModuleHom
 /-- An equivalence of Lie algebra modules is a linear equivalence which is also a morphism of
 Lie algebra modules. -/
 structure LieModuleEquiv extends M →ₗ⁅R,L⁆ N where
-/-- The inverse function of an equivalence of Lie modules -/
+  /-- The inverse function of an equivalence of Lie modules -/
   invFun : N → M
   /-- The inverse function of an equivalence of Lie modules is a left inverse of the underlying
   function. -/

These are all doc fixes

@@ -1058,7 +1058,7 @@ theorem refl_apply (m : M) : (refl : M ≃ₗ⁅R,L⁆ M) m = m :=
   rfl
 #align lie_module_equiv.refl_apply LieModuleEquiv.refl_apply
 
-/-- Lie module equivalences are syemmtric. -/
+/-- Lie module equivalences are symmetric. -/
 @[symm]
 def symm (e : M ≃ₗ⁅R,L⁆ N) : N ≃ₗ⁅R,L⁆ M :=
   { LieModuleHom.inverse e.toLieModuleHom e.invFun e.left_inv e.right_inv,

Co-authored-by: int-y1 <jason_yuen2007@hotmail.com> Co-authored-by: Oliver Nash <github@olivernash.org> Co-authored-by: ChrisHughes24 <chrishughes24@gmail.com> Co-authored-by: adomani <adomani@gmail.com> Co-authored-by: Johan Commelin <johan@commelin.net>

@@ -722,9 +722,9 @@ instance : FunLike (M →ₗ⁅R, L⁆ N) M (fun _ => N) :=
       by cases x; cases y; simp at h; simp [h]  }
 
 @[simp, norm_cast]
-theorem coe_to_linearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
+theorem coe_toLinearMap (f : M →ₗ⁅R,L⁆ N) : ((f : M →ₗ[R] N) : M → N) = f :=
   rfl
-#align lie_module_hom.coe_to_linear_map LieModuleHom.coe_to_linearMap
+#align lie_module_hom.coe_to_linear_map LieModuleHom.coe_toLinearMap
 
 @[simp]
 theorem map_smul (f : M →ₗ⁅R,L⁆ N) (c : R) (x : M) : f (c • x) = c • f x :=

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

@@ -57,51 +57,47 @@ open Function
 
 /-- A Lie ring is an additive group with compatible product, known as the bracket, satisfying the
 Jacobi identity. -/
-/- @[protect_proj] -- Porting note: not (yet) implemented. -/
 class LieRing (L : Type v) extends AddCommGroup L, Bracket L L where
   /-- A Lie ring bracket is additive in its first component. -/
-  add_lie : ∀ x y z : L, ⁅x + y, z⁆ = ⁅x, z⁆ + ⁅y, z⁆
+  protected add_lie : ∀ x y z : L, ⁅x + y, z⁆ = ⁅x, z⁆ + ⁅y, z⁆
   /-- A Lie ring bracket is additive in its second component. -/
-  lie_add : ∀ x y z : L, ⁅x, y + z⁆ = ⁅x, y⁆ + ⁅x, z⁆
+  protected lie_add : ∀ x y z : L, ⁅x, y + z⁆ = ⁅x, y⁆ + ⁅x, z⁆
   /-- A Lie ring bracket vanishes on the diagonal in L × L. -/
-  lie_self : ∀ x : L, ⁅x, x⁆ = 0
+  protected lie_self : ∀ x : L, ⁅x, x⁆ = 0
   /-- A Lie ring bracket satisfies a Leibniz / Jacobi identity. -/
-  leibniz_lie : ∀ x y z : L, ⁅x, ⁅y, z⁆⁆ = ⁅⁅x, y⁆, z⁆ + ⁅y, ⁅x, z⁆⁆
+  protected leibniz_lie : ∀ x y z : L, ⁅x, ⁅y, z⁆⁆ = ⁅⁅x, y⁆, z⁆ + ⁅y, ⁅x, z⁆⁆
 #align lie_ring LieRing
 
 /-- A Lie algebra is a module with compatible product, known as the bracket, satisfying the Jacobi
 identity. Forgetting the scalar multiplication, every Lie algebra is a Lie ring. -/
-/- @[protect_proj] -- Porting note: not (yet) implemented. -/
 class LieAlgebra (R : Type u) (L : Type v) [CommRing R] [LieRing L] extends Module R L where
   /-- A Lie algebra bracket is compatible with scalar multiplication in its second argument.
 
   The compatibility in the first argument is not a class property, but follows since every
   Lie algebra has a natural Lie module action on itself, see `LieModule`. -/
-  lie_smul : ∀ (t : R) (x y : L), ⁅x, t • y⁆ = t • ⁅x, y⁆
+  protected lie_smul : ∀ (t : R) (x y : L), ⁅x, t • y⁆ = t • ⁅x, y⁆
 #align lie_algebra LieAlgebra
 
 /-- A Lie ring module is an additive group, together with an additive action of a
 Lie ring on this group, such that the Lie bracket acts as the commutator of endomorphisms.
 (For representations of Lie *algebras* see `LieModule`.) -/
-/- @[protect_proj] -- Porting note: not (yet) implemented. -/
 class LieRingModule (L : Type v) (M : Type w) [LieRing L] [AddCommGroup M] extends Bracket L M where
   /-- A Lie ring module bracket is additive in its first component. -/
-  add_lie : ∀ (x y : L) (m : M), ⁅x + y, m⁆ = ⁅x, m⁆ + ⁅y, m⁆
+  protected add_lie : ∀ (x y : L) (m : M), ⁅x + y, m⁆ = ⁅x, m⁆ + ⁅y, m⁆
   /-- A Lie ring module bracket is additive in its second component. -/
-  lie_add : ∀ (x : L) (m n : M), ⁅x, m + n⁆ = ⁅x, m⁆ + ⁅x, n⁆
+  protected lie_add : ∀ (x : L) (m n : M), ⁅x, m + n⁆ = ⁅x, m⁆ + ⁅x, n⁆
   /-- A Lie ring module bracket satisfies a Leibniz / Jacobi identity. -/
-  leibniz_lie : ∀ (x y : L) (m : M), ⁅x, ⁅y, m⁆⁆ = ⁅⁅x, y⁆, m⁆ + ⁅y, ⁅x, m⁆⁆
+  protected leibniz_lie : ∀ (x y : L) (m : M), ⁅x, ⁅y, m⁆⁆ = ⁅⁅x, y⁆, m⁆ + ⁅y, ⁅x, m⁆⁆
 #align lie_ring_module LieRingModule
 
 /-- A Lie module is a module over a commutative ring, together with a linear action of a Lie
 algebra on this module, such that the Lie bracket acts as the commutator of endomorphisms. -/
-/- @[protect_proj] -- Porting note: not (yet) implemented. -/
 class LieModule (R : Type u) (L : Type v) (M : Type w) [CommRing R] [LieRing L] [LieAlgebra R L]
   [AddCommGroup M] [Module R M] [LieRingModule L M] where
   /-- A Lie module bracket is compatible with scalar multiplication in its first argument. -/
-  smul_lie : ∀ (t : R) (x : L) (m : M), ⁅t • x, m⁆ = t • ⁅x, m⁆
+  protected smul_lie : ∀ (t : R) (x : L) (m : M), ⁅t • x, m⁆ = t • ⁅x, m⁆
   /-- A Lie module bracket is compatible with scalar multiplication in its second argument. -/
-  lie_smul : ∀ (t : R) (x : L) (m : M), ⁅x, t • m⁆ = t • ⁅x, m⁆
+  protected lie_smul : ∀ (t : R) (x : L) (m : M), ⁅x, t • m⁆ = t • ⁅x, m⁆
 #align lie_module LieModule
 
 section BasicProperties

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

@@ -82,7 +82,7 @@ class LieAlgebra (R : Type u) (L : Type v) [CommRing R] [LieRing L] extends Modu
 
 /-- A Lie ring module is an additive group, together with an additive action of a
 Lie ring on this group, such that the Lie bracket acts as the commutator of endomorphisms.
-(For representations of Lie *algebras* see `lie_module`.) -/
+(For representations of Lie *algebras* see `LieModule`.) -/
 /- @[protect_proj] -- Porting note: not (yet) implemented. -/
 class LieRingModule (L : Type v) (M : Type w) [LieRing L] [AddCommGroup M] extends Bracket L M where
   /-- A Lie ring module bracket is additive in its first component. -/

@@ -224,9 +224,6 @@ theorem lie_jacobi : ⁅x, ⁅y, z⁆⁆ + ⁅y, ⁅z, x⁆⁆ + ⁅z, ⁅x, y
 instance LieRing.intLieAlgebra : LieAlgebra ℤ L where lie_smul n x y := lie_zsmul x y n
 #align lie_ring.int_lie_algebra LieRing.intLieAlgebra
 
--- Porting note: TODO Erase this line. Needed because we don't have η for classes. (lean4#2074)
-attribute [-instance] Ring.toNonAssocRing
-
 instance : LieRingModule L (M →ₗ[R] N) where
   bracket x f :=
     { toFun := fun m => ⁅x, f m⁆ - f ⁅x, m⁆
@@ -265,9 +262,6 @@ instance : LieModule R L (M →ₗ[R] N)
 
 end BasicProperties
 
--- Porting note: TODO Erase this line. Needed because we don't have η for classes. (lean4#2074)
-attribute [-instance] Ring.toNonAssocRing
-
 /-- A morphism of Lie algebras is a linear map respecting the bracket operations. -/
 structure LieHom (R L L': Type _) [CommRing R] [LieRing L] [LieAlgebra R L]
   [LieRing L'] [LieAlgebra R L'] extends L →ₗ[R] L' where

This PR puts, with one exception, every single remaining by that lies all by itself on its own line to the previous line, thus matching the current behaviour of start-port.sh. The exception is when the by begins the second or later argument to a tuple or anonymous constructor; see https://github.com/leanprover-community/mathlib4/pull/3825#discussion_r1186702599.

Essentially this is s/\n *by$/ by/g, but with manual editing to satisfy the linter's max-100-char-line requirement. The Python style linter is also modified to catch these "isolated bys".

@@ -1033,8 +1033,7 @@ theorem coe_to_linearEquiv (e : M ≃ₗ⁅R,L⁆ N) : ((e : M ≃ₗ[R] N) : M
   rfl
 #align lie_module_equiv.coe_to_linear_equiv LieModuleEquiv.coe_to_linearEquiv
 
-theorem toEquiv_injective : Function.Injective (toEquiv : (M ≃ₗ⁅R,L⁆ N) → M ≃ N) :=
-  by
+theorem toEquiv_injective : Function.Injective (toEquiv : (M ≃ₗ⁅R,L⁆ N) → M ≃ N) := by
   rintro ⟨⟨⟨⟨f, -⟩, -⟩, -⟩, f_inv⟩ ⟨⟨⟨⟨g, -⟩, -⟩, -⟩, g_inv⟩
   intro h
   simp only [toEquiv_mk, LieModuleHom.coe_mk, LinearMap.coe_mk, AddHom.coe_mk, Equiv.mk.injEq] at h

• initialize_simps_projections automatically find coercions if there is a Funlike or SetLike instance defined by one of the projections.
• Some improvements compared to Lean 3:
  • Find coercions even if it is defined by a field of a parent structure
  • Find SetLike coercions

Not yet implemented (and rarely - if ever - used in mathlib3):

• Automatic custom projections for algebraic notation (like +,*,...)

Co-authored-by: Johan Commelin <johan@commelin.net>

@@ -300,12 +300,6 @@ instance : FunLike (L₁ →ₗ⁅R⁆ L₂) L₁ (fun _ => L₂) :=
     coe_injective' := fun x y h =>
       by cases x; cases y; simp at h; simp [h]  }
 
-/-- See Note [custom simps projection]. We need to specify this projection explicitly in this
-  case, because it is a composition of multiple projections. -/
-def Simps.apply (h : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂ :=
-  h
-#align lie_hom.simps.apply LieHom.Simps.apply
-
 initialize_simps_projections LieHom (toFun → apply)
 
 @[simp, norm_cast]

• Some of the older ones do exactly the same as the shorter new ones
• Also update doc (some remarks are only true after #2045 is merged)

@@ -306,8 +306,7 @@ def Simps.apply (h : L₁ →ₗ⁅R⁆ L₂) : L₁ → L₂ :=
   h
 #align lie_hom.simps.apply LieHom.Simps.apply
 
--- Porting note: Does not work
--- initialize_simps_projections LieHom (toLinearMap_toFun → apply)
+initialize_simps_projections LieHom (toFun → apply)
 
 @[simp, norm_cast]
 theorem coe_toLinearMap (f : L₁ →ₗ⁅R⁆ L₂) : ⇑(f : L₁ →ₗ[R] L₂) = f :=

Co-authored-by: Oliver Nash <github@olivernash.org> Co-authored-by: ChrisHughes24 <chrishughes24@gmail.com>