algebra.lie.subalgebraMathlib.Algebra.Lie.Subalgebra

This file has been ported!

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -235,7 +235,7 @@ theorem coe_set_eq (L₁' L₂' : LieSubalgebra R L) : (L₁' : Set L) = L₂' 
 
 #print LieSubalgebra.to_submodule_injective /-
 theorem to_submodule_injective : Function.Injective (coe : LieSubalgebra R L → Submodule R L) :=
-  fun L₁' L₂' h => by rw [SetLike.ext'_iff] at h ; rw [← coe_set_eq]; exact h
+  fun L₁' L₂' h => by rw [SetLike.ext'_iff] at h; rw [← coe_set_eq]; exact h
 #align lie_subalgebra.to_submodule_injective LieSubalgebra.to_submodule_injective
 -/
 
@@ -392,7 +392,7 @@ theorem rangeRestrict_apply (x : L) : f.range_restrict x = ⟨f x, f.mem_range_s
 theorem surjective_rangeRestrict : Function.Surjective f.range_restrict :=
   by
   rintro ⟨y, hy⟩
-  erw [mem_range] at hy ; obtain ⟨x, rfl⟩ := hy
+  erw [mem_range] at hy; obtain ⟨x, rfl⟩ := hy
   use x
   simp only [Subtype.mk_eq_mk, range_restrict_apply]
 #align lie_hom.surjective_range_restrict LieHom.surjective_rangeRestrict
@@ -403,7 +403,7 @@ theorem surjective_rangeRestrict : Function.Surjective f.range_restrict :=
 noncomputable def equivRangeOfInjective (h : Function.Injective f) : L ≃ₗ⁅R⁆ f.range :=
   LieEquiv.ofBijective f.range_restrict
     ⟨fun x y hxy => by
-      simp only [Subtype.mk_eq_mk, range_restrict_apply] at hxy 
+      simp only [Subtype.mk_eq_mk, range_restrict_apply] at hxy
       exact h hxy, f.surjective_rangeRestrict⟩
 #align lie_hom.equiv_range_of_injective LieHom.equivRangeOfInjective
 -/
@@ -445,8 +445,8 @@ codomain. -/
 def map : LieSubalgebra R L₂ :=
   { (K : Submodule R L).map (f : L →ₗ[R] L₂) with
     lie_mem' := fun x y hx hy => by
-      erw [Submodule.mem_map] at hx ; rcases hx with ⟨x', hx', hx⟩; rw [← hx]
-      erw [Submodule.mem_map] at hy ; rcases hy with ⟨y', hy', hy⟩; rw [← hy]
+      erw [Submodule.mem_map] at hx; rcases hx with ⟨x', hx', hx⟩; rw [← hx]
+      erw [Submodule.mem_map] at hy; rcases hy with ⟨y', hy', hy⟩; rw [← hy]
       erw [Submodule.mem_map]
       exact ⟨⁅x', y'⁆, K.lie_mem hx' hy', f.map_lie x' y'⟩ }
 #align lie_subalgebra.map LieSubalgebra.map
@@ -616,7 +616,7 @@ than we would otherwise obtain from `complete_lattice_of_Inf`. -/
 instance : CompleteLattice (LieSubalgebra R L) :=
   { completeLatticeOfInf _ sInf_glb with
     bot := ⊥
-    bot_le := fun N _ h => by rw [mem_bot] at h ; rw [h]; exact N.zero_mem'
+    bot_le := fun N _ h => by rw [mem_bot] at h; rw [h]; exact N.zero_mem'
     top := ⊤
     le_top := fun _ _ _ => trivial
     inf := (· ⊓ ·)
@@ -672,7 +672,7 @@ theorem eq_bot_iff : K = ⊥ ↔ ∀ x : L, x ∈ K → x = 0 := by rw [eq_bot_i
 instance subsingleton_of_bot : Subsingleton (LieSubalgebra R ↥(⊥ : LieSubalgebra R L)) :=
   by
   apply subsingleton_of_bot_eq_top
-  ext ⟨x, hx⟩; change x ∈ ⊥ at hx ; rw [LieSubalgebra.mem_bot] at hx ; subst hx
+  ext ⟨x, hx⟩; change x ∈ ⊥ at hx; rw [LieSubalgebra.mem_bot] at hx; subst hx
   simp only [true_iff_iff, eq_self_iff_true, Submodule.mk_eq_zero, mem_bot]
 #align lie_subalgebra.subsingleton_of_bot LieSubalgebra.subsingleton_of_bot
 -/
@@ -828,7 +828,7 @@ theorem lieSpan_le {K} : lieSpan R L s ≤ K ↔ s ⊆ K :=
   by
   constructor
   · exact Set.Subset.trans subset_lie_span
-  · intro hs m hm; rw [mem_lie_span] at hm ; exact hm _ hs
+  · intro hs m hm; rw [mem_lie_span] at hm; exact hm _ hs
 #align lie_subalgebra.lie_span_le LieSubalgebra.lieSpan_le
 -/
 
Diff
@@ -703,38 +703,38 @@ section NestedSubalgebras
 
 variable (h : K ≤ K')
 
-#print LieSubalgebra.homOfLe /-
+#print LieSubalgebra.inclusion /-
 /-- Given two nested Lie subalgebras `K ⊆ K'`, the inclusion `K ↪ K'` is a morphism of Lie
 algebras. -/
-def homOfLe : K →ₗ⁅R⁆ K' :=
-  { Submodule.ofLe h with map_lie' := fun x y => rfl }
-#align lie_subalgebra.hom_of_le LieSubalgebra.homOfLe
+def inclusion : K →ₗ⁅R⁆ K' :=
+  { Submodule.inclusion h with map_lie' := fun x y => rfl }
+#align lie_subalgebra.hom_of_le LieSubalgebra.inclusion
 -/
 
-#print LieSubalgebra.coe_homOfLe /-
+#print LieSubalgebra.coe_inclusion /-
 @[simp]
-theorem coe_homOfLe (x : K) : (homOfLe h x : L) = x :=
+theorem coe_inclusion (x : K) : (inclusion h x : L) = x :=
   rfl
-#align lie_subalgebra.coe_hom_of_le LieSubalgebra.coe_homOfLe
+#align lie_subalgebra.coe_hom_of_le LieSubalgebra.coe_inclusion
 -/
 
-#print LieSubalgebra.homOfLe_apply /-
-theorem homOfLe_apply (x : K) : homOfLe h x = ⟨x.1, h x.2⟩ :=
+#print LieSubalgebra.inclusion_apply /-
+theorem inclusion_apply (x : K) : inclusion h x = ⟨x.1, h x.2⟩ :=
   rfl
-#align lie_subalgebra.hom_of_le_apply LieSubalgebra.homOfLe_apply
+#align lie_subalgebra.hom_of_le_apply LieSubalgebra.inclusion_apply
 -/
 
-#print LieSubalgebra.homOfLe_injective /-
-theorem homOfLe_injective : Function.Injective (homOfLe h) := fun x y => by
+#print LieSubalgebra.inclusion_injective /-
+theorem inclusion_injective : Function.Injective (inclusion h) := fun x y => by
   simp only [hom_of_le_apply, imp_self, Subtype.mk_eq_mk, SetLike.coe_eq_coe, Subtype.val_eq_coe]
-#align lie_subalgebra.hom_of_le_injective LieSubalgebra.homOfLe_injective
+#align lie_subalgebra.hom_of_le_injective LieSubalgebra.inclusion_injective
 -/
 
 #print LieSubalgebra.ofLe /-
 /-- Given two nested Lie subalgebras `K ⊆ K'`, we can view `K` as a Lie subalgebra of `K'`,
 regarded as Lie algebra in its own right. -/
 def ofLe : LieSubalgebra R K' :=
-  (homOfLe h).range
+  (inclusion h).range
 #align lie_subalgebra.of_le LieSubalgebra.ofLe
 -/
 
@@ -756,7 +756,7 @@ theorem ofLe_eq_comap_incl : ofLe h = K.comap K'.incl := by ext; rw [mem_of_le];
 
 #print LieSubalgebra.coe_ofLe /-
 @[simp]
-theorem coe_ofLe : (ofLe h : Submodule R K') = (Submodule.ofLe h).range :=
+theorem coe_ofLe : (ofLe h : Submodule R K') = (Submodule.inclusion h).range :=
   rfl
 #align lie_subalgebra.coe_of_le LieSubalgebra.coe_ofLe
 -/
@@ -765,13 +765,13 @@ theorem coe_ofLe : (ofLe h : Submodule R K') = (Submodule.ofLe h).range :=
 /-- Given nested Lie subalgebras `K ⊆ K'`, there is a natural equivalence from `K` to its image in
 `K'`.  -/
 noncomputable def equivOfLe : K ≃ₗ⁅R⁆ ofLe h :=
-  (homOfLe h).equivRangeOfInjective (homOfLe_injective h)
+  (inclusion h).equivRangeOfInjective (inclusion_injective h)
 #align lie_subalgebra.equiv_of_le LieSubalgebra.equivOfLe
 -/
 
 #print LieSubalgebra.equivOfLe_apply /-
 @[simp]
-theorem equivOfLe_apply (x : K) : equivOfLe h x = ⟨homOfLe h x, (homOfLe h).mem_range_self x⟩ :=
+theorem equivOfLe_apply (x : K) : equivOfLe h x = ⟨inclusion h x, (inclusion h).mem_range_self x⟩ :=
   rfl
 #align lie_subalgebra.equiv_of_le_apply LieSubalgebra.equivOfLe_apply
 -/
Diff
@@ -633,7 +633,7 @@ instance : AddCommMonoid (LieSubalgebra R L)
   add_zero _ := sup_bot_eq
   add_comm _ _ := sup_comm
 
-instance : CanonicallyOrderedAddMonoid (LieSubalgebra R L) :=
+instance : CanonicallyOrderedAddCommMonoid (LieSubalgebra R L) :=
   { LieSubalgebra.addCommMonoid,
     LieSubalgebra.completeLattice with
     add_le_add_left := fun a b => sup_le_sup_left
Diff
@@ -3,8 +3,8 @@ Copyright (c) 2021 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
 -/
-import Mathbin.Algebra.Lie.Basic
-import Mathbin.RingTheory.Noetherian
+import Algebra.Lie.Basic
+import RingTheory.Noetherian
 
 #align_import algebra.lie.subalgebra from "leanprover-community/mathlib"@"8ef6f08ff8c781c5c07a8b12843710e1a0d8a688"
 
@@ -559,12 +559,12 @@ instance : Inf (LieSubalgebra R L) :=
     { (K ⊓ K' : Submodule R L) with
       lie_mem' := fun x y hx hy => mem_inter (K.lie_mem hx.1 hy.1) (K'.lie_mem hx.2 hy.2) }⟩
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:372:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S} -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:373:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S} -/
 instance : InfSet (LieSubalgebra R L) :=
   ⟨fun S =>
     {
       sInf
-        "./././Mathport/Syntax/Translate/Expr.lean:372:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S}" with
+        "./././Mathport/Syntax/Translate/Expr.lean:373:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S}" with
       lie_mem' := fun x y hx hy =>
         by
         simp only [Submodule.mem_carrier, mem_Inter, Submodule.sInf_coe, mem_set_of_eq,
@@ -578,13 +578,13 @@ theorem inf_coe : (↑(K ⊓ K') : Set L) = K ∩ K' :=
 #align lie_subalgebra.inf_coe LieSubalgebra.inf_coe
 -/
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:372:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S} -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:373:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S} -/
 #print LieSubalgebra.sInf_coe_to_submodule /-
 @[simp]
 theorem sInf_coe_to_submodule (S : Set (LieSubalgebra R L)) :
     (↑(sInf S) : Submodule R L) =
       sInf
-        "./././Mathport/Syntax/Translate/Expr.lean:372:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S}" :=
+        "./././Mathport/Syntax/Translate/Expr.lean:373:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S}" :=
   rfl
 #align lie_subalgebra.Inf_coe_to_submodule LieSubalgebra.sInf_coe_to_submodule
 -/
Diff
@@ -424,7 +424,7 @@ theorem Submodule.exists_lieSubalgebra_coe_eq_iff (p : Submodule R L) :
   by
   constructor
   · rintro ⟨K, rfl⟩ _ _; exact K.lie_mem'
-  · intro h; use { p with lie_mem' := h }; exact LieSubalgebra.coe_to_submodule_mk p _
+  · intro h; use{ p with lie_mem' := h }; exact LieSubalgebra.coe_to_submodule_mk p _
 #align submodule.exists_lie_subalgebra_coe_eq_iff Submodule.exists_lieSubalgebra_coe_eq_iff
 -/
 
@@ -745,7 +745,7 @@ theorem mem_ofLe (x : K') : x ∈ ofLe h ↔ (x : L) ∈ K :=
   simp only [of_le, hom_of_le_apply, LieHom.mem_range]
   constructor
   · rintro ⟨y, rfl⟩; exact y.property
-  · intro h; use ⟨(x : L), h⟩; simp
+  · intro h; use⟨(x : L), h⟩; simp
 #align lie_subalgebra.mem_of_le LieSubalgebra.mem_ofLe
 -/
 
Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2021 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.subalgebra
-! leanprover-community/mathlib commit 8ef6f08ff8c781c5c07a8b12843710e1a0d8a688
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Lie.Basic
 import Mathbin.RingTheory.Noetherian
 
+#align_import algebra.lie.subalgebra from "leanprover-community/mathlib"@"8ef6f08ff8c781c5c07a8b12843710e1a0d8a688"
+
 /-!
 # Lie subalgebras
 
Diff
@@ -117,18 +117,24 @@ instance (L' : LieSubalgebra R L) : LieAlgebra R L'
 
 variable {R L} (L' : LieSubalgebra R L)
 
+#print LieSubalgebra.zero_mem /-
 @[simp]
 protected theorem zero_mem : (0 : L) ∈ L' :=
   zero_mem L'
 #align lie_subalgebra.zero_mem LieSubalgebra.zero_mem
+-/
 
+#print LieSubalgebra.add_mem /-
 protected theorem add_mem {x y : L} : x ∈ L' → y ∈ L' → (x + y : L) ∈ L' :=
   add_mem
 #align lie_subalgebra.add_mem LieSubalgebra.add_mem
+-/
 
+#print LieSubalgebra.sub_mem /-
 protected theorem sub_mem {x y : L} : x ∈ L' → y ∈ L' → (x - y : L) ∈ L' :=
   sub_mem
 #align lie_subalgebra.sub_mem LieSubalgebra.sub_mem
+-/
 
 #print LieSubalgebra.smul_mem /-
 theorem smul_mem (t : R) {x : L} (h : x ∈ L') : t • x ∈ L' :=
@@ -142,16 +148,20 @@ theorem lie_mem {x y : L} (hx : x ∈ L') (hy : y ∈ L') : (⁅x, y⁆ : L) ∈
 #align lie_subalgebra.lie_mem LieSubalgebra.lie_mem
 -/
 
+#print LieSubalgebra.mem_carrier /-
 @[simp]
 theorem mem_carrier {x : L} : x ∈ L'.carrier ↔ x ∈ (L' : Set L) :=
   Iff.rfl
 #align lie_subalgebra.mem_carrier LieSubalgebra.mem_carrier
+-/
 
+#print LieSubalgebra.mem_mk_iff /-
 @[simp]
 theorem mem_mk_iff (S : Set L) (h₁ h₂ h₃ h₄) {x : L} :
     x ∈ (⟨⟨S, h₁, h₂, h₃⟩, h₄⟩ : LieSubalgebra R L) ↔ x ∈ S :=
   Iff.rfl
 #align lie_subalgebra.mem_mk_iff LieSubalgebra.mem_mk_iff
+-/
 
 #print LieSubalgebra.mem_coe_submodule /-
 @[simp]
@@ -179,9 +189,11 @@ theorem ext_iff (x y : L') : x = y ↔ (x : L) = y :=
 #align lie_subalgebra.ext_iff LieSubalgebra.ext_iff
 -/
 
+#print LieSubalgebra.coe_zero_iff_zero /-
 theorem coe_zero_iff_zero (x : L') : (x : L) = 0 ↔ x = 0 :=
   (ext_iff L' x 0).symm
 #align lie_subalgebra.coe_zero_iff_zero LieSubalgebra.coe_zero_iff_zero
+-/
 
 #print LieSubalgebra.ext /-
 @[ext]
@@ -196,16 +208,20 @@ theorem ext_iff' (L₁' L₂' : LieSubalgebra R L) : L₁' = L₂' ↔ ∀ x, x
 #align lie_subalgebra.ext_iff' LieSubalgebra.ext_iff'
 -/
 
+#print LieSubalgebra.mk_coe /-
 @[simp]
 theorem mk_coe (S : Set L) (h₁ h₂ h₃ h₄) :
     ((⟨⟨S, h₁, h₂, h₃⟩, h₄⟩ : LieSubalgebra R L) : Set L) = S :=
   rfl
 #align lie_subalgebra.mk_coe LieSubalgebra.mk_coe
+-/
 
+#print LieSubalgebra.coe_to_submodule_mk /-
 @[simp]
 theorem coe_to_submodule_mk (p : Submodule R L) (h) :
     (({ p with lie_mem' := h } : LieSubalgebra R L) : Submodule R L) = p := by cases p; rfl
 #align lie_subalgebra.coe_to_submodule_mk LieSubalgebra.coe_to_submodule_mk
+-/
 
 #print LieSubalgebra.coe_injective /-
 theorem coe_injective : Function.Injective (coe : LieSubalgebra R L → Set L) :=
@@ -271,16 +287,20 @@ instance : LieModule R L' M
   smul_lie t x m := by simp only [coe_bracket_of_module, smul_lie, Submodule.coe_smul_of_tower]
   lie_smul t x m := by simp only [coe_bracket_of_module, lie_smul]
 
+#print LieModuleHom.restrictLie /-
 /-- An `L`-equivariant map of Lie modules `M → N` is `L'`-equivariant for any Lie subalgebra
 `L' ⊆ L`. -/
 def LieModuleHom.restrictLie (f : M →ₗ⁅R,L⁆ N) (L' : LieSubalgebra R L) : M →ₗ⁅R,L'⁆ N :=
   { (f : M →ₗ[R] N) with map_lie' := fun x m => f.map_lie (↑x) m }
 #align lie_module_hom.restrict_lie LieModuleHom.restrictLie
+-/
 
+#print LieModuleHom.coe_restrictLie /-
 @[simp]
 theorem LieModuleHom.coe_restrictLie (f : M →ₗ⁅R,L⁆ N) : ⇑(f.restrictLie L') = f :=
   rfl
 #align lie_module_hom.coe_restrict_lie LieModuleHom.coe_restrictLie
+-/
 
 end LieModule
 
@@ -292,10 +312,12 @@ def incl : L' →ₗ⁅R⁆ L :=
 #align lie_subalgebra.incl LieSubalgebra.incl
 -/
 
+#print LieSubalgebra.coe_incl /-
 @[simp]
 theorem coe_incl : ⇑L'.incl = coe :=
   rfl
 #align lie_subalgebra.coe_incl LieSubalgebra.coe_incl
+-/
 
 #print LieSubalgebra.incl' /-
 /-- The embedding of a Lie subalgebra into the ambient space as a morphism of Lie modules. -/
@@ -334,19 +356,25 @@ def range : LieSubalgebra R L₂ :=
 #align lie_hom.range LieHom.range
 -/
 
+#print LieHom.range_coe /-
 @[simp]
 theorem range_coe : (f.range : Set L₂) = Set.range f :=
   LinearMap.range_coe ↑f
 #align lie_hom.range_coe LieHom.range_coe
+-/
 
+#print LieHom.mem_range /-
 @[simp]
 theorem mem_range (x : L₂) : x ∈ f.range ↔ ∃ y : L, f y = x :=
   LinearMap.mem_range
 #align lie_hom.mem_range LieHom.mem_range
+-/
 
+#print LieHom.mem_range_self /-
 theorem mem_range_self (x : L) : f x ∈ f.range :=
   LinearMap.mem_range_self f x
 #align lie_hom.mem_range_self LieHom.mem_range_self
+-/
 
 #print LieHom.rangeRestrict /-
 /-- We can restrict a morphism to a (surjective) map to its range. -/
@@ -356,11 +384,14 @@ def rangeRestrict : L →ₗ⁅R⁆ f.range :=
 #align lie_hom.range_restrict LieHom.rangeRestrict
 -/
 
+#print LieHom.rangeRestrict_apply /-
 @[simp]
 theorem rangeRestrict_apply (x : L) : f.range_restrict x = ⟨f x, f.mem_range_self x⟩ :=
   rfl
 #align lie_hom.range_restrict_apply LieHom.rangeRestrict_apply
+-/
 
+#print LieHom.surjective_rangeRestrict /-
 theorem surjective_rangeRestrict : Function.Surjective f.range_restrict :=
   by
   rintro ⟨y, hy⟩
@@ -368,7 +399,9 @@ theorem surjective_rangeRestrict : Function.Surjective f.range_restrict :=
   use x
   simp only [Subtype.mk_eq_mk, range_restrict_apply]
 #align lie_hom.surjective_range_restrict LieHom.surjective_rangeRestrict
+-/
 
+#print LieHom.equivRangeOfInjective /-
 /-- A Lie algebra is equivalent to its range under an injective Lie algebra morphism. -/
 noncomputable def equivRangeOfInjective (h : Function.Injective f) : L ≃ₗ⁅R⁆ f.range :=
   LieEquiv.ofBijective f.range_restrict
@@ -376,12 +409,15 @@ noncomputable def equivRangeOfInjective (h : Function.Injective f) : L ≃ₗ⁅
       simp only [Subtype.mk_eq_mk, range_restrict_apply] at hxy 
       exact h hxy, f.surjective_rangeRestrict⟩
 #align lie_hom.equiv_range_of_injective LieHom.equivRangeOfInjective
+-/
 
+#print LieHom.equivRangeOfInjective_apply /-
 @[simp]
 theorem equivRangeOfInjective_apply (h : Function.Injective f) (x : L) :
     f.equivRangeOfInjective h x = ⟨f x, mem_range_self f x⟩ :=
   rfl
 #align lie_hom.equiv_range_of_injective_apply LieHom.equivRangeOfInjective_apply
+-/
 
 end LieHom
 
@@ -419,10 +455,12 @@ def map : LieSubalgebra R L₂ :=
 #align lie_subalgebra.map LieSubalgebra.map
 -/
 
+#print LieSubalgebra.mem_map /-
 @[simp]
 theorem mem_map (x : L₂) : x ∈ K.map f ↔ ∃ y : L, y ∈ K ∧ f y = x :=
   Submodule.mem_map
 #align lie_subalgebra.mem_map LieSubalgebra.mem_map
+-/
 
 #print LieSubalgebra.mem_map_submodule /-
 -- TODO Rename and state for homs instead of equivs.
@@ -453,53 +491,71 @@ instance : PartialOrder (LieSubalgebra R L) :=
       (coe : LieSubalgebra R L → Set L) coe_injective with
     le := fun N N' => ∀ ⦃x⦄, x ∈ N → x ∈ N' }
 
+#print LieSubalgebra.le_def /-
 theorem le_def : K ≤ K' ↔ (K : Set L) ⊆ K' :=
   Iff.rfl
 #align lie_subalgebra.le_def LieSubalgebra.le_def
+-/
 
+#print LieSubalgebra.coe_submodule_le_coe_submodule /-
 @[simp, norm_cast]
 theorem coe_submodule_le_coe_submodule : (K : Submodule R L) ≤ K' ↔ K ≤ K' :=
   Iff.rfl
 #align lie_subalgebra.coe_submodule_le_coe_submodule LieSubalgebra.coe_submodule_le_coe_submodule
+-/
 
 instance : Bot (LieSubalgebra R L) :=
   ⟨0⟩
 
+#print LieSubalgebra.bot_coe /-
 @[simp]
 theorem bot_coe : ((⊥ : LieSubalgebra R L) : Set L) = {0} :=
   rfl
 #align lie_subalgebra.bot_coe LieSubalgebra.bot_coe
+-/
 
+#print LieSubalgebra.bot_coe_submodule /-
 @[simp]
 theorem bot_coe_submodule : ((⊥ : LieSubalgebra R L) : Submodule R L) = ⊥ :=
   rfl
 #align lie_subalgebra.bot_coe_submodule LieSubalgebra.bot_coe_submodule
+-/
 
+#print LieSubalgebra.mem_bot /-
 @[simp]
 theorem mem_bot (x : L) : x ∈ (⊥ : LieSubalgebra R L) ↔ x = 0 :=
   mem_singleton_iff
 #align lie_subalgebra.mem_bot LieSubalgebra.mem_bot
+-/
 
 instance : Top (LieSubalgebra R L) :=
   ⟨{ (⊤ : Submodule R L) with lie_mem' := fun x y hx hy => mem_univ ⁅x, y⁆ }⟩
 
+#print LieSubalgebra.top_coe /-
 @[simp]
 theorem top_coe : ((⊤ : LieSubalgebra R L) : Set L) = univ :=
   rfl
 #align lie_subalgebra.top_coe LieSubalgebra.top_coe
+-/
 
+#print LieSubalgebra.top_coe_submodule /-
 @[simp]
 theorem top_coe_submodule : ((⊤ : LieSubalgebra R L) : Submodule R L) = ⊤ :=
   rfl
 #align lie_subalgebra.top_coe_submodule LieSubalgebra.top_coe_submodule
+-/
 
+#print LieSubalgebra.mem_top /-
 @[simp]
 theorem mem_top (x : L) : x ∈ (⊤ : LieSubalgebra R L) :=
   mem_univ x
 #align lie_subalgebra.mem_top LieSubalgebra.mem_top
+-/
 
+#print LieHom.range_eq_map /-
 theorem LieHom.range_eq_map : f.range = map f ⊤ := by ext; simp
 #align lie_hom.range_eq_map LieHom.range_eq_map
+-/
 
 instance : Inf (LieSubalgebra R L) :=
   ⟨fun K K' =>
@@ -518,12 +574,15 @@ instance : InfSet (LieSubalgebra R L) :=
           forall_apply_eq_imp_iff₂, exists_imp] at *
         intro K hK; exact K.lie_mem (hx K hK) (hy K hK) }⟩
 
+#print LieSubalgebra.inf_coe /-
 @[simp]
 theorem inf_coe : (↑(K ⊓ K') : Set L) = K ∩ K' :=
   rfl
 #align lie_subalgebra.inf_coe LieSubalgebra.inf_coe
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:372:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S} -/
+#print LieSubalgebra.sInf_coe_to_submodule /-
 @[simp]
 theorem sInf_coe_to_submodule (S : Set (LieSubalgebra R L)) :
     (↑(sInf S) : Submodule R L) =
@@ -531,7 +590,9 @@ theorem sInf_coe_to_submodule (S : Set (LieSubalgebra R L)) :
         "./././Mathport/Syntax/Translate/Expr.lean:372:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S}" :=
   rfl
 #align lie_subalgebra.Inf_coe_to_submodule LieSubalgebra.sInf_coe_to_submodule
+-/
 
+#print LieSubalgebra.sInf_coe /-
 @[simp]
 theorem sInf_coe (S : Set (LieSubalgebra R L)) : (↑(sInf S) : Set L) = ⋂ s ∈ S, (s : Set L) :=
   by
@@ -539,6 +600,7 @@ theorem sInf_coe (S : Set (LieSubalgebra R L)) : (↑(sInf S) : Set L) = ⋂ s 
   ext x
   simpa only [mem_Inter, mem_set_of_eq, forall_apply_eq_imp_iff₂, exists_imp]
 #align lie_subalgebra.Inf_coe LieSubalgebra.sInf_coe
+-/
 
 #print LieSubalgebra.sInf_glb /-
 theorem sInf_glb (S : Set (LieSubalgebra R L)) : IsGLB S (sInf S) :=
@@ -581,39 +643,52 @@ instance : CanonicallyOrderedAddMonoid (LieSubalgebra R L) :=
     exists_add_of_le := fun a b h => ⟨b, (sup_eq_right.2 h).symm⟩
     le_self_add := fun a b => le_sup_left }
 
+#print LieSubalgebra.add_eq_sup /-
 @[simp]
 theorem add_eq_sup : K + K' = K ⊔ K' :=
   rfl
 #align lie_subalgebra.add_eq_sup LieSubalgebra.add_eq_sup
+-/
 
+#print LieSubalgebra.inf_coe_to_submodule /-
 @[norm_cast, simp]
 theorem inf_coe_to_submodule :
     (↑(K ⊓ K') : Submodule R L) = (K : Submodule R L) ⊓ (K' : Submodule R L) :=
   rfl
 #align lie_subalgebra.inf_coe_to_submodule LieSubalgebra.inf_coe_to_submodule
+-/
 
+#print LieSubalgebra.mem_inf /-
 @[simp]
 theorem mem_inf (x : L) : x ∈ K ⊓ K' ↔ x ∈ K ∧ x ∈ K' := by
   rw [← mem_coe_submodule, ← mem_coe_submodule, ← mem_coe_submodule, inf_coe_to_submodule,
     Submodule.mem_inf]
 #align lie_subalgebra.mem_inf LieSubalgebra.mem_inf
+-/
 
+#print LieSubalgebra.eq_bot_iff /-
 theorem eq_bot_iff : K = ⊥ ↔ ∀ x : L, x ∈ K → x = 0 := by rw [eq_bot_iff]; exact Iff.rfl
 #align lie_subalgebra.eq_bot_iff LieSubalgebra.eq_bot_iff
+-/
 
+#print LieSubalgebra.subsingleton_of_bot /-
 instance subsingleton_of_bot : Subsingleton (LieSubalgebra R ↥(⊥ : LieSubalgebra R L)) :=
   by
   apply subsingleton_of_bot_eq_top
   ext ⟨x, hx⟩; change x ∈ ⊥ at hx ; rw [LieSubalgebra.mem_bot] at hx ; subst hx
   simp only [true_iff_iff, eq_self_iff_true, Submodule.mk_eq_zero, mem_bot]
 #align lie_subalgebra.subsingleton_of_bot LieSubalgebra.subsingleton_of_bot
+-/
 
+#print LieSubalgebra.subsingleton_bot /-
 theorem subsingleton_bot : Subsingleton ↥(⊥ : LieSubalgebra R L) :=
   show Subsingleton ((⊥ : LieSubalgebra R L) : Set L) by simp
 #align lie_subalgebra.subsingleton_bot LieSubalgebra.subsingleton_bot
+-/
 
 variable (R L)
 
+#print LieSubalgebra.wellFounded_of_noetherian /-
 theorem wellFounded_of_noetherian [IsNoetherian R L] :
     WellFounded ((· > ·) : LieSubalgebra R L → LieSubalgebra R L → Prop) :=
   let f :
@@ -623,6 +698,7 @@ theorem wellFounded_of_noetherian [IsNoetherian R L] :
       map_rel' := fun N N' h => h }
   RelHomClass.wellFounded f (isNoetherian_iff_wellFounded.mp inferInstance)
 #align lie_subalgebra.well_founded_of_noetherian LieSubalgebra.wellFounded_of_noetherian
+-/
 
 variable {R L K K' f}
 
@@ -630,31 +706,42 @@ section NestedSubalgebras
 
 variable (h : K ≤ K')
 
+#print LieSubalgebra.homOfLe /-
 /-- Given two nested Lie subalgebras `K ⊆ K'`, the inclusion `K ↪ K'` is a morphism of Lie
 algebras. -/
 def homOfLe : K →ₗ⁅R⁆ K' :=
   { Submodule.ofLe h with map_lie' := fun x y => rfl }
 #align lie_subalgebra.hom_of_le LieSubalgebra.homOfLe
+-/
 
+#print LieSubalgebra.coe_homOfLe /-
 @[simp]
 theorem coe_homOfLe (x : K) : (homOfLe h x : L) = x :=
   rfl
 #align lie_subalgebra.coe_hom_of_le LieSubalgebra.coe_homOfLe
+-/
 
+#print LieSubalgebra.homOfLe_apply /-
 theorem homOfLe_apply (x : K) : homOfLe h x = ⟨x.1, h x.2⟩ :=
   rfl
 #align lie_subalgebra.hom_of_le_apply LieSubalgebra.homOfLe_apply
+-/
 
+#print LieSubalgebra.homOfLe_injective /-
 theorem homOfLe_injective : Function.Injective (homOfLe h) := fun x y => by
   simp only [hom_of_le_apply, imp_self, Subtype.mk_eq_mk, SetLike.coe_eq_coe, Subtype.val_eq_coe]
 #align lie_subalgebra.hom_of_le_injective LieSubalgebra.homOfLe_injective
+-/
 
+#print LieSubalgebra.ofLe /-
 /-- Given two nested Lie subalgebras `K ⊆ K'`, we can view `K` as a Lie subalgebra of `K'`,
 regarded as Lie algebra in its own right. -/
 def ofLe : LieSubalgebra R K' :=
   (homOfLe h).range
 #align lie_subalgebra.of_le LieSubalgebra.ofLe
+-/
 
+#print LieSubalgebra.mem_ofLe /-
 @[simp]
 theorem mem_ofLe (x : K') : x ∈ ofLe h ↔ (x : L) ∈ K :=
   by
@@ -663,35 +750,48 @@ theorem mem_ofLe (x : K') : x ∈ ofLe h ↔ (x : L) ∈ K :=
   · rintro ⟨y, rfl⟩; exact y.property
   · intro h; use ⟨(x : L), h⟩; simp
 #align lie_subalgebra.mem_of_le LieSubalgebra.mem_ofLe
+-/
 
+#print LieSubalgebra.ofLe_eq_comap_incl /-
 theorem ofLe_eq_comap_incl : ofLe h = K.comap K'.incl := by ext; rw [mem_of_le]; rfl
 #align lie_subalgebra.of_le_eq_comap_incl LieSubalgebra.ofLe_eq_comap_incl
+-/
 
+#print LieSubalgebra.coe_ofLe /-
 @[simp]
 theorem coe_ofLe : (ofLe h : Submodule R K') = (Submodule.ofLe h).range :=
   rfl
 #align lie_subalgebra.coe_of_le LieSubalgebra.coe_ofLe
+-/
 
+#print LieSubalgebra.equivOfLe /-
 /-- Given nested Lie subalgebras `K ⊆ K'`, there is a natural equivalence from `K` to its image in
 `K'`.  -/
 noncomputable def equivOfLe : K ≃ₗ⁅R⁆ ofLe h :=
   (homOfLe h).equivRangeOfInjective (homOfLe_injective h)
 #align lie_subalgebra.equiv_of_le LieSubalgebra.equivOfLe
+-/
 
+#print LieSubalgebra.equivOfLe_apply /-
 @[simp]
 theorem equivOfLe_apply (x : K) : equivOfLe h x = ⟨homOfLe h x, (homOfLe h).mem_range_self x⟩ :=
   rfl
 #align lie_subalgebra.equiv_of_le_apply LieSubalgebra.equivOfLe_apply
+-/
 
 end NestedSubalgebras
 
+#print LieSubalgebra.map_le_iff_le_comap /-
 theorem map_le_iff_le_comap {K : LieSubalgebra R L} {K' : LieSubalgebra R L₂} :
     map f K ≤ K' ↔ K ≤ comap f K' :=
   Set.image_subset_iff
 #align lie_subalgebra.map_le_iff_le_comap LieSubalgebra.map_le_iff_le_comap
+-/
 
+#print LieSubalgebra.gc_map_comap /-
 theorem gc_map_comap : GaloisConnection (map f) (comap f) := fun K K' => map_le_iff_le_comap
 #align lie_subalgebra.gc_map_comap LieSubalgebra.gc_map_comap
+-/
 
 end LatticeStructure
 
@@ -726,16 +826,20 @@ theorem submodule_span_le_lieSpan : Submodule.span R s ≤ lieSpan R L s := by r
 #align lie_subalgebra.submodule_span_le_lie_span LieSubalgebra.submodule_span_le_lieSpan
 -/
 
+#print LieSubalgebra.lieSpan_le /-
 theorem lieSpan_le {K} : lieSpan R L s ≤ K ↔ s ⊆ K :=
   by
   constructor
   · exact Set.Subset.trans subset_lie_span
   · intro hs m hm; rw [mem_lie_span] at hm ; exact hm _ hs
 #align lie_subalgebra.lie_span_le LieSubalgebra.lieSpan_le
+-/
 
+#print LieSubalgebra.lieSpan_mono /-
 theorem lieSpan_mono {t : Set L} (h : s ⊆ t) : lieSpan R L s ≤ lieSpan R L t := by rw [lie_span_le];
   exact Set.Subset.trans h subset_lie_span
 #align lie_subalgebra.lie_span_mono LieSubalgebra.lieSpan_mono
+-/
 
 #print LieSubalgebra.lieSpan_eq /-
 theorem lieSpan_eq : lieSpan R L (K : Set L) = K :=
@@ -755,6 +859,7 @@ theorem coe_lieSpan_submodule_eq_iff {p : Submodule R L} :
 
 variable (R L)
 
+#print LieSubalgebra.gi /-
 /-- `lie_span` forms a Galois insertion with the coercion from `lie_subalgebra` to `set`. -/
 protected def gi : GaloisInsertion (lieSpan R L : Set L → LieSubalgebra R L) coe
     where
@@ -763,26 +868,35 @@ protected def gi : GaloisInsertion (lieSpan R L : Set L → LieSubalgebra R L) c
   le_l_u s := subset_lieSpan
   choice_eq s h := rfl
 #align lie_subalgebra.gi LieSubalgebra.gi
+-/
 
+#print LieSubalgebra.span_empty /-
 @[simp]
 theorem span_empty : lieSpan R L (∅ : Set L) = ⊥ :=
   (LieSubalgebra.gi R L).gc.l_bot
 #align lie_subalgebra.span_empty LieSubalgebra.span_empty
+-/
 
+#print LieSubalgebra.span_univ /-
 @[simp]
 theorem span_univ : lieSpan R L (Set.univ : Set L) = ⊤ :=
   eq_top_iff.2 <| SetLike.le_def.2 <| subset_lieSpan
 #align lie_subalgebra.span_univ LieSubalgebra.span_univ
+-/
 
 variable {L}
 
+#print LieSubalgebra.span_union /-
 theorem span_union (s t : Set L) : lieSpan R L (s ∪ t) = lieSpan R L s ⊔ lieSpan R L t :=
   (LieSubalgebra.gi R L).gc.l_sup
 #align lie_subalgebra.span_union LieSubalgebra.span_union
+-/
 
+#print LieSubalgebra.span_iUnion /-
 theorem span_iUnion {ι} (s : ι → Set L) : lieSpan R L (⋃ i, s i) = ⨆ i, lieSpan R L (s i) :=
   (LieSubalgebra.gi R L).gc.l_iSup
 #align lie_subalgebra.span_Union LieSubalgebra.span_iUnion
+-/
 
 end LieSpan
 
@@ -796,17 +910,21 @@ variable {R : Type u} {L₁ : Type v} {L₂ : Type w}
 
 variable [CommRing R] [LieRing L₁] [LieRing L₂] [LieAlgebra R L₁] [LieAlgebra R L₂]
 
+#print LieEquiv.ofInjective /-
 /-- An injective Lie algebra morphism is an equivalence onto its range. -/
 noncomputable def ofInjective (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Injective f) : L₁ ≃ₗ⁅R⁆ f.range :=
   { LinearEquiv.ofInjective (f : L₁ →ₗ[R] L₂) <| by rwa [LieHom.coe_toLinearMap] with
     map_lie' := fun x y => by apply SetCoe.ext; simpa }
 #align lie_equiv.of_injective LieEquiv.ofInjective
+-/
 
+#print LieEquiv.ofInjective_apply /-
 @[simp]
 theorem ofInjective_apply (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Injective f) (x : L₁) :
     ↑(ofInjective f h x) = f x :=
   rfl
 #align lie_equiv.of_injective_apply LieEquiv.ofInjective_apply
+-/
 
 variable (L₁' L₁'' : LieSubalgebra R L₁) (L₂' : LieSubalgebra R L₂)
 
@@ -820,11 +938,13 @@ def ofEq (h : (L₁' : Set L₁) = L₁'') : L₁' ≃ₗ⁅R⁆ L₁'' :=
 #align lie_equiv.of_eq LieEquiv.ofEq
 -/
 
+#print LieEquiv.ofEq_apply /-
 @[simp]
 theorem ofEq_apply (L L' : LieSubalgebra R L₁) (h : (L : Set L₁) = L') (x : L) :
     (↑(ofEq L L' h x) : L₁) = x :=
   rfl
 #align lie_equiv.of_eq_apply LieEquiv.ofEq_apply
+-/
 
 variable (e : L₁ ≃ₗ⁅R⁆ L₂)
 
@@ -837,10 +957,12 @@ def lieSubalgebraMap : L₁'' ≃ₗ⁅R⁆ (L₁''.map e : LieSubalgebra R L₂
 #align lie_equiv.lie_subalgebra_map LieEquiv.lieSubalgebraMap
 -/
 
+#print LieEquiv.lieSubalgebraMap_apply /-
 @[simp]
 theorem lieSubalgebraMap_apply (x : L₁'') : ↑(e.lieSubalgebraMap _ x) = e x :=
   rfl
 #align lie_equiv.lie_subalgebra_map_apply LieEquiv.lieSubalgebraMap_apply
+-/
 
 #print LieEquiv.ofSubalgebras /-
 /-- An equivalence of Lie algebras restricts to an equivalence from any Lie subalgebra onto its
@@ -851,16 +973,20 @@ def ofSubalgebras (h : L₁'.map ↑e = L₂') : L₁' ≃ₗ⁅R⁆ L₂' :=
 #align lie_equiv.of_subalgebras LieEquiv.ofSubalgebras
 -/
 
+#print LieEquiv.ofSubalgebras_apply /-
 @[simp]
 theorem ofSubalgebras_apply (h : L₁'.map ↑e = L₂') (x : L₁') : ↑(e.ofSubalgebras _ _ h x) = e x :=
   rfl
 #align lie_equiv.of_subalgebras_apply LieEquiv.ofSubalgebras_apply
+-/
 
+#print LieEquiv.ofSubalgebras_symm_apply /-
 @[simp]
 theorem ofSubalgebras_symm_apply (h : L₁'.map ↑e = L₂') (x : L₂') :
     ↑((e.ofSubalgebras _ _ h).symm x) = e.symm x :=
   rfl
 #align lie_equiv.of_subalgebras_symm_apply LieEquiv.ofSubalgebras_symm_apply
+-/
 
 end LieEquiv
 
Diff
@@ -506,12 +506,12 @@ instance : Inf (LieSubalgebra R L) :=
     { (K ⊓ K' : Submodule R L) with
       lie_mem' := fun x y hx hy => mem_inter (K.lie_mem hx.1 hy.1) (K'.lie_mem hx.2 hy.2) }⟩
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:366:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S} -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:372:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S} -/
 instance : InfSet (LieSubalgebra R L) :=
   ⟨fun S =>
     {
       sInf
-        "./././Mathport/Syntax/Translate/Expr.lean:366:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S}" with
+        "./././Mathport/Syntax/Translate/Expr.lean:372:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S}" with
       lie_mem' := fun x y hx hy =>
         by
         simp only [Submodule.mem_carrier, mem_Inter, Submodule.sInf_coe, mem_set_of_eq,
@@ -523,12 +523,12 @@ theorem inf_coe : (↑(K ⊓ K') : Set L) = K ∩ K' :=
   rfl
 #align lie_subalgebra.inf_coe LieSubalgebra.inf_coe
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:366:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S} -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:372:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S} -/
 @[simp]
 theorem sInf_coe_to_submodule (S : Set (LieSubalgebra R L)) :
     (↑(sInf S) : Submodule R L) =
       sInf
-        "./././Mathport/Syntax/Translate/Expr.lean:366:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S}" :=
+        "./././Mathport/Syntax/Translate/Expr.lean:372:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S}" :=
   rfl
 #align lie_subalgebra.Inf_coe_to_submodule LieSubalgebra.sInf_coe_to_submodule
 
Diff
@@ -166,10 +166,12 @@ theorem mem_coe {x : L} : x ∈ (L' : Set L) ↔ x ∈ L' :=
 #align lie_subalgebra.mem_coe LieSubalgebra.mem_coe
 -/
 
+#print LieSubalgebra.coe_bracket /-
 @[simp, norm_cast]
 theorem coe_bracket (x y : L') : (↑⁅x, y⁆ : L) = ⁅(↑x : L), ↑y⁆ :=
   rfl
 #align lie_subalgebra.coe_bracket LieSubalgebra.coe_bracket
+-/
 
 #print LieSubalgebra.ext_iff /-
 theorem ext_iff (x y : L') : x = y ↔ (x : L) = y :=
@@ -253,10 +255,12 @@ instance : LieRingModule L' M where
   lie_add x y m := lie_add x y m
   leibniz_lie x y m := leibniz_lie x y m
 
+#print LieSubalgebra.coe_bracket_of_module /-
 @[simp]
 theorem coe_bracket_of_module (x : L') (m : M) : ⁅x, m⁆ = ⁅(x : L), m⁆ :=
   rfl
 #align lie_subalgebra.coe_bracket_of_module LieSubalgebra.coe_bracket_of_module
+-/
 
 variable [Module R M] [LieModule R L M]
 
@@ -280,11 +284,13 @@ theorem LieModuleHom.coe_restrictLie (f : M →ₗ⁅R,L⁆ N) : ⇑(f.restrictL
 
 end LieModule
 
+#print LieSubalgebra.incl /-
 /-- The embedding of a Lie subalgebra into the ambient space as a morphism of Lie algebras. -/
 def incl : L' →ₗ⁅R⁆ L :=
   { (L' : Submodule R L).Subtype with
     map_lie' := fun x y => by simp only [LinearMap.toFun_eq_coe, Submodule.subtype_apply]; rfl }
 #align lie_subalgebra.incl LieSubalgebra.incl
+-/
 
 @[simp]
 theorem coe_incl : ⇑L'.incl = coe :=
@@ -342,11 +348,13 @@ theorem mem_range_self (x : L) : f x ∈ f.range :=
   LinearMap.mem_range_self f x
 #align lie_hom.mem_range_self LieHom.mem_range_self
 
+#print LieHom.rangeRestrict /-
 /-- We can restrict a morphism to a (surjective) map to its range. -/
 def rangeRestrict : L →ₗ⁅R⁆ f.range :=
   { (f : L →ₗ[R] L₂).range_restrict with
     map_lie' := fun x y => by apply Subtype.ext; exact f.map_lie x y }
 #align lie_hom.range_restrict LieHom.rangeRestrict
+-/
 
 @[simp]
 theorem rangeRestrict_apply (x : L) : f.range_restrict x = ⟨f x, f.mem_range_self x⟩ :=
@@ -694,7 +702,7 @@ variable (R L) (s : Set L)
 #print LieSubalgebra.lieSpan /-
 /-- The Lie subalgebra of a Lie algebra `L` generated by a subset `s ⊆ L`. -/
 def lieSpan : LieSubalgebra R L :=
-  sInf { N | s ⊆ N }
+  sInf {N | s ⊆ N}
 #align lie_subalgebra.lie_span LieSubalgebra.lieSpan
 -/
 
@@ -802,6 +810,7 @@ theorem ofInjective_apply (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Injective
 
 variable (L₁' L₁'' : LieSubalgebra R L₁) (L₂' : LieSubalgebra R L₂)
 
+#print LieEquiv.ofEq /-
 /-- Lie subalgebras that are equal as sets are equivalent as Lie algebras. -/
 def ofEq (h : (L₁' : Set L₁) = L₁'') : L₁' ≃ₗ⁅R⁆ L₁'' :=
   {
@@ -809,6 +818,7 @@ def ofEq (h : (L₁' : Set L₁) = L₁'') : L₁' ≃ₗ⁅R⁆ L₁'' :=
       (by ext x; change x ∈ (L₁' : Set L₁) ↔ x ∈ (L₁'' : Set L₁); rw [h]) with
     map_lie' := fun x y => by apply SetCoe.ext; simp }
 #align lie_equiv.of_eq LieEquiv.ofEq
+-/
 
 @[simp]
 theorem ofEq_apply (L L' : LieSubalgebra R L₁) (h : (L : Set L₁) = L') (x : L) :
@@ -818,24 +828,28 @@ theorem ofEq_apply (L L' : LieSubalgebra R L₁) (h : (L : Set L₁) = L') (x :
 
 variable (e : L₁ ≃ₗ⁅R⁆ L₂)
 
+#print LieEquiv.lieSubalgebraMap /-
 /-- An equivalence of Lie algebras restricts to an equivalence from any Lie subalgebra onto its
 image. -/
 def lieSubalgebraMap : L₁'' ≃ₗ⁅R⁆ (L₁''.map e : LieSubalgebra R L₂) :=
   { LinearEquiv.submoduleMap (e : L₁ ≃ₗ[R] L₂) ↑L₁'' with
     map_lie' := fun x y => by apply SetCoe.ext; exact LieHom.map_lie (↑e : L₁ →ₗ⁅R⁆ L₂) ↑x ↑y }
 #align lie_equiv.lie_subalgebra_map LieEquiv.lieSubalgebraMap
+-/
 
 @[simp]
 theorem lieSubalgebraMap_apply (x : L₁'') : ↑(e.lieSubalgebraMap _ x) = e x :=
   rfl
 #align lie_equiv.lie_subalgebra_map_apply LieEquiv.lieSubalgebraMap_apply
 
+#print LieEquiv.ofSubalgebras /-
 /-- An equivalence of Lie algebras restricts to an equivalence from any Lie subalgebra onto its
 image. -/
 def ofSubalgebras (h : L₁'.map ↑e = L₂') : L₁' ≃ₗ⁅R⁆ L₂' :=
   { LinearEquiv.ofSubmodules (e : L₁ ≃ₗ[R] L₂) (↑L₁') (↑L₂') (by rw [← h]; rfl) with
     map_lie' := fun x y => by apply SetCoe.ext; exact LieHom.map_lie (↑e : L₁ →ₗ⁅R⁆ L₂) ↑x ↑y }
 #align lie_equiv.of_subalgebras LieEquiv.ofSubalgebras
+-/
 
 @[simp]
 theorem ofSubalgebras_apply (h : L₁'.map ↑e = L₂') (x : L₁') : ↑(e.ofSubalgebras _ _ h x) = e x :=
Diff
@@ -84,10 +84,10 @@ instance : AddSubgroupClass (LieSubalgebra R L) L
 instance (L' : LieSubalgebra R L) : LieRing L'
     where
   bracket x y := ⟨⁅x.val, y.val⁆, L'.lie_mem' x.property y.property⟩
-  lie_add := by intros ; apply SetCoe.ext; apply lie_add
-  add_lie := by intros ; apply SetCoe.ext; apply add_lie
-  lie_self := by intros ; apply SetCoe.ext; apply lie_self
-  leibniz_lie := by intros ; apply SetCoe.ext; apply leibniz_lie
+  lie_add := by intros; apply SetCoe.ext; apply lie_add
+  add_lie := by intros; apply SetCoe.ext; apply add_lie
+  lie_self := by intros; apply SetCoe.ext; apply lie_self
+  leibniz_lie := by intros; apply SetCoe.ext; apply leibniz_lie
 
 section
 
@@ -113,7 +113,7 @@ end
 
 /-- A Lie subalgebra forms a new Lie algebra. -/
 instance (L' : LieSubalgebra R L) : LieAlgebra R L'
-    where lie_smul := by intros ; apply SetCoe.ext; apply lie_smul
+    where lie_smul := by intros; apply SetCoe.ext; apply lie_smul
 
 variable {R L} (L' : LieSubalgebra R L)
 
@@ -220,7 +220,7 @@ theorem coe_set_eq (L₁' L₂' : LieSubalgebra R L) : (L₁' : Set L) = L₂' 
 
 #print LieSubalgebra.to_submodule_injective /-
 theorem to_submodule_injective : Function.Injective (coe : LieSubalgebra R L → Submodule R L) :=
-  fun L₁' L₂' h => by rw [SetLike.ext'_iff] at h; rw [← coe_set_eq]; exact h
+  fun L₁' L₂' h => by rw [SetLike.ext'_iff] at h ; rw [← coe_set_eq]; exact h
 #align lie_subalgebra.to_submodule_injective LieSubalgebra.to_submodule_injective
 -/
 
@@ -356,7 +356,7 @@ theorem rangeRestrict_apply (x : L) : f.range_restrict x = ⟨f x, f.mem_range_s
 theorem surjective_rangeRestrict : Function.Surjective f.range_restrict :=
   by
   rintro ⟨y, hy⟩
-  erw [mem_range] at hy; obtain ⟨x, rfl⟩ := hy
+  erw [mem_range] at hy ; obtain ⟨x, rfl⟩ := hy
   use x
   simp only [Subtype.mk_eq_mk, range_restrict_apply]
 #align lie_hom.surjective_range_restrict LieHom.surjective_rangeRestrict
@@ -365,7 +365,7 @@ theorem surjective_rangeRestrict : Function.Surjective f.range_restrict :=
 noncomputable def equivRangeOfInjective (h : Function.Injective f) : L ≃ₗ⁅R⁆ f.range :=
   LieEquiv.ofBijective f.range_restrict
     ⟨fun x y hxy => by
-      simp only [Subtype.mk_eq_mk, range_restrict_apply] at hxy
+      simp only [Subtype.mk_eq_mk, range_restrict_apply] at hxy 
       exact h hxy, f.surjective_rangeRestrict⟩
 #align lie_hom.equiv_range_of_injective LieHom.equivRangeOfInjective
 
@@ -404,8 +404,8 @@ codomain. -/
 def map : LieSubalgebra R L₂ :=
   { (K : Submodule R L).map (f : L →ₗ[R] L₂) with
     lie_mem' := fun x y hx hy => by
-      erw [Submodule.mem_map] at hx; rcases hx with ⟨x', hx', hx⟩; rw [← hx]
-      erw [Submodule.mem_map] at hy; rcases hy with ⟨y', hy', hy⟩; rw [← hy]
+      erw [Submodule.mem_map] at hx ; rcases hx with ⟨x', hx', hx⟩; rw [← hx]
+      erw [Submodule.mem_map] at hy ; rcases hy with ⟨y', hy', hy⟩; rw [← hy]
       erw [Submodule.mem_map]
       exact ⟨⁅x', y'⁆, K.lie_mem hx' hy', f.map_lie x' y'⟩ }
 #align lie_subalgebra.map LieSubalgebra.map
@@ -535,7 +535,7 @@ theorem sInf_coe (S : Set (LieSubalgebra R L)) : (↑(sInf S) : Set L) = ⋂ s 
 #print LieSubalgebra.sInf_glb /-
 theorem sInf_glb (S : Set (LieSubalgebra R L)) : IsGLB S (sInf S) :=
   by
-  have h : ∀ K K' : LieSubalgebra R L, (K : Set L) ≤ K' ↔ K ≤ K' := by intros ; exact Iff.rfl
+  have h : ∀ K K' : LieSubalgebra R L, (K : Set L) ≤ K' ↔ K ≤ K' := by intros; exact Iff.rfl
   apply IsGLB.of_image h
   simp only [Inf_coe]
   exact isGLB_biInf
@@ -549,7 +549,7 @@ than we would otherwise obtain from `complete_lattice_of_Inf`. -/
 instance : CompleteLattice (LieSubalgebra R L) :=
   { completeLatticeOfInf _ sInf_glb with
     bot := ⊥
-    bot_le := fun N _ h => by rw [mem_bot] at h; rw [h]; exact N.zero_mem'
+    bot_le := fun N _ h => by rw [mem_bot] at h ; rw [h]; exact N.zero_mem'
     top := ⊤
     le_top := fun _ _ _ => trivial
     inf := (· ⊓ ·)
@@ -596,7 +596,7 @@ theorem eq_bot_iff : K = ⊥ ↔ ∀ x : L, x ∈ K → x = 0 := by rw [eq_bot_i
 instance subsingleton_of_bot : Subsingleton (LieSubalgebra R ↥(⊥ : LieSubalgebra R L)) :=
   by
   apply subsingleton_of_bot_eq_top
-  ext ⟨x, hx⟩; change x ∈ ⊥ at hx; rw [LieSubalgebra.mem_bot] at hx; subst hx
+  ext ⟨x, hx⟩; change x ∈ ⊥ at hx ; rw [LieSubalgebra.mem_bot] at hx ; subst hx
   simp only [true_iff_iff, eq_self_iff_true, Submodule.mk_eq_zero, mem_bot]
 #align lie_subalgebra.subsingleton_of_bot LieSubalgebra.subsingleton_of_bot
 
@@ -722,7 +722,7 @@ theorem lieSpan_le {K} : lieSpan R L s ≤ K ↔ s ⊆ K :=
   by
   constructor
   · exact Set.Subset.trans subset_lie_span
-  · intro hs m hm; rw [mem_lie_span] at hm; exact hm _ hs
+  · intro hs m hm; rw [mem_lie_span] at hm ; exact hm _ hs
 #align lie_subalgebra.lie_span_le LieSubalgebra.lieSpan_le
 
 theorem lieSpan_mono {t : Set L} (h : s ⊆ t) : lieSpan R L s ≤ lieSpan R L t := by rw [lie_span_le];
Diff
@@ -712,9 +712,11 @@ theorem subset_lieSpan : s ⊆ lieSpan R L s := by intro m hm; erw [mem_lie_span
 #align lie_subalgebra.subset_lie_span LieSubalgebra.subset_lieSpan
 -/
 
+#print LieSubalgebra.submodule_span_le_lieSpan /-
 theorem submodule_span_le_lieSpan : Submodule.span R s ≤ lieSpan R L s := by rw [Submodule.span_le];
   apply subset_lie_span
 #align lie_subalgebra.submodule_span_le_lie_span LieSubalgebra.submodule_span_le_lieSpan
+-/
 
 theorem lieSpan_le {K} : lieSpan R L s ≤ K ↔ s ⊆ K :=
   by
Diff
@@ -117,33 +117,15 @@ instance (L' : LieSubalgebra R L) : LieAlgebra R L'
 
 variable {R L} (L' : LieSubalgebra R L)
 
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 @[simp]
 protected theorem zero_mem : (0 : L) ∈ L' :=
   zero_mem L'
 #align lie_subalgebra.zero_mem LieSubalgebra.zero_mem
 
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 protected theorem add_mem {x y : L} : x ∈ L' → y ∈ L' → (x + y : L) ∈ L' :=
   add_mem
 #align lie_subalgebra.add_mem LieSubalgebra.add_mem
 
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 protected theorem sub_mem {x y : L} : x ∈ L' → y ∈ L' → (x - y : L) ∈ L' :=
   sub_mem
 #align lie_subalgebra.sub_mem LieSubalgebra.sub_mem
@@ -160,20 +142,11 @@ theorem lie_mem {x y : L} (hx : x ∈ L') (hy : y ∈ L') : (⁅x, y⁆ : L) ∈
 #align lie_subalgebra.lie_mem LieSubalgebra.lie_mem
 -/
 
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 @[simp]
 theorem mem_carrier {x : L} : x ∈ L'.carrier ↔ x ∈ (L' : Set L) :=
   Iff.rfl
 #align lie_subalgebra.mem_carrier LieSubalgebra.mem_carrier
 
-/- warning: lie_subalgebra.mem_mk_iff -> LieSubalgebra.mem_mk_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_subalgebra.mem_mk_iff LieSubalgebra.mem_mk_iffₓ'. -/
 @[simp]
 theorem mem_mk_iff (S : Set L) (h₁ h₂ h₃ h₄) {x : L} :
     x ∈ (⟨⟨S, h₁, h₂, h₃⟩, h₄⟩ : LieSubalgebra R L) ↔ x ∈ S :=
@@ -193,9 +166,6 @@ theorem mem_coe {x : L} : x ∈ (L' : Set L) ↔ x ∈ L' :=
 #align lie_subalgebra.mem_coe LieSubalgebra.mem_coe
 -/
 
-/- warning: lie_subalgebra.coe_bracket -> LieSubalgebra.coe_bracket is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_bracket LieSubalgebra.coe_bracketₓ'. -/
 @[simp, norm_cast]
 theorem coe_bracket (x y : L') : (↑⁅x, y⁆ : L) = ⁅(↑x : L), ↑y⁆ :=
   rfl
@@ -207,12 +177,6 @@ theorem ext_iff (x y : L') : x = y ↔ (x : L) = y :=
 #align lie_subalgebra.ext_iff LieSubalgebra.ext_iff
 -/
 
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 theorem coe_zero_iff_zero (x : L') : (x : L) = 0 ↔ x = 0 :=
   (ext_iff L' x 0).symm
 #align lie_subalgebra.coe_zero_iff_zero LieSubalgebra.coe_zero_iff_zero
@@ -230,18 +194,12 @@ theorem ext_iff' (L₁' L₂' : LieSubalgebra R L) : L₁' = L₂' ↔ ∀ x, x
 #align lie_subalgebra.ext_iff' LieSubalgebra.ext_iff'
 -/
 
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 @[simp]
 theorem mk_coe (S : Set L) (h₁ h₂ h₃ h₄) :
     ((⟨⟨S, h₁, h₂, h₃⟩, h₄⟩ : LieSubalgebra R L) : Set L) = S :=
   rfl
 #align lie_subalgebra.mk_coe LieSubalgebra.mk_coe
 
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 @[simp]
 theorem coe_to_submodule_mk (p : Submodule R L) (h) :
     (({ p with lie_mem' := h } : LieSubalgebra R L) : Submodule R L) = p := by cases p; rfl
@@ -295,9 +253,6 @@ instance : LieRingModule L' M where
   lie_add x y m := lie_add x y m
   leibniz_lie x y m := leibniz_lie x y m
 
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 @[simp]
 theorem coe_bracket_of_module (x : L') (m : M) : ⁅x, m⁆ = ⁅(x : L), m⁆ :=
   rfl
@@ -312,18 +267,12 @@ instance : LieModule R L' M
   smul_lie t x m := by simp only [coe_bracket_of_module, smul_lie, Submodule.coe_smul_of_tower]
   lie_smul t x m := by simp only [coe_bracket_of_module, lie_smul]
 
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 /-- An `L`-equivariant map of Lie modules `M → N` is `L'`-equivariant for any Lie subalgebra
 `L' ⊆ L`. -/
 def LieModuleHom.restrictLie (f : M →ₗ⁅R,L⁆ N) (L' : LieSubalgebra R L) : M →ₗ⁅R,L'⁆ N :=
   { (f : M →ₗ[R] N) with map_lie' := fun x m => f.map_lie (↑x) m }
 #align lie_module_hom.restrict_lie LieModuleHom.restrictLie
 
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 @[simp]
 theorem LieModuleHom.coe_restrictLie (f : M →ₗ⁅R,L⁆ N) : ⇑(f.restrictLie L') = f :=
   rfl
@@ -331,21 +280,12 @@ theorem LieModuleHom.coe_restrictLie (f : M →ₗ⁅R,L⁆ N) : ⇑(f.restrictL
 
 end LieModule
 
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 /-- The embedding of a Lie subalgebra into the ambient space as a morphism of Lie algebras. -/
 def incl : L' →ₗ⁅R⁆ L :=
   { (L' : Submodule R L).Subtype with
     map_lie' := fun x y => by simp only [LinearMap.toFun_eq_coe, Submodule.subtype_apply]; rfl }
 #align lie_subalgebra.incl LieSubalgebra.incl
 
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 @[simp]
 theorem coe_incl : ⇑L'.incl = coe :=
   rfl
@@ -388,61 +328,31 @@ def range : LieSubalgebra R L₂ :=
 #align lie_hom.range LieHom.range
 -/
 
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 @[simp]
 theorem range_coe : (f.range : Set L₂) = Set.range f :=
   LinearMap.range_coe ↑f
 #align lie_hom.range_coe LieHom.range_coe
 
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 @[simp]
 theorem mem_range (x : L₂) : x ∈ f.range ↔ ∃ y : L, f y = x :=
   LinearMap.mem_range
 #align lie_hom.mem_range LieHom.mem_range
 
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 theorem mem_range_self (x : L) : f x ∈ f.range :=
   LinearMap.mem_range_self f x
 #align lie_hom.mem_range_self LieHom.mem_range_self
 
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 /-- We can restrict a morphism to a (surjective) map to its range. -/
 def rangeRestrict : L →ₗ⁅R⁆ f.range :=
   { (f : L →ₗ[R] L₂).range_restrict with
     map_lie' := fun x y => by apply Subtype.ext; exact f.map_lie x y }
 #align lie_hom.range_restrict LieHom.rangeRestrict
 
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 @[simp]
 theorem rangeRestrict_apply (x : L) : f.range_restrict x = ⟨f x, f.mem_range_self x⟩ :=
   rfl
 #align lie_hom.range_restrict_apply LieHom.rangeRestrict_apply
 
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 theorem surjective_rangeRestrict : Function.Surjective f.range_restrict :=
   by
   rintro ⟨y, hy⟩
@@ -451,12 +361,6 @@ theorem surjective_rangeRestrict : Function.Surjective f.range_restrict :=
   simp only [Subtype.mk_eq_mk, range_restrict_apply]
 #align lie_hom.surjective_range_restrict LieHom.surjective_rangeRestrict
 
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 /-- A Lie algebra is equivalent to its range under an injective Lie algebra morphism. -/
 noncomputable def equivRangeOfInjective (h : Function.Injective f) : L ≃ₗ⁅R⁆ f.range :=
   LieEquiv.ofBijective f.range_restrict
@@ -465,9 +369,6 @@ noncomputable def equivRangeOfInjective (h : Function.Injective f) : L ≃ₗ⁅
       exact h hxy, f.surjective_rangeRestrict⟩
 #align lie_hom.equiv_range_of_injective LieHom.equivRangeOfInjective
 
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 @[simp]
 theorem equivRangeOfInjective_apply (h : Function.Injective f) (x : L) :
     f.equivRangeOfInjective h x = ⟨f x, mem_range_self f x⟩ :=
@@ -510,9 +411,6 @@ def map : LieSubalgebra R L₂ :=
 #align lie_subalgebra.map LieSubalgebra.map
 -/
 
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 @[simp]
 theorem mem_map (x : L₂) : x ∈ K.map f ↔ ∃ y : L, y ∈ K ∧ f y = x :=
   Submodule.mem_map
@@ -547,22 +445,10 @@ instance : PartialOrder (LieSubalgebra R L) :=
       (coe : LieSubalgebra R L → Set L) coe_injective with
     le := fun N N' => ∀ ⦃x⦄, x ∈ N → x ∈ N' }
 
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 theorem le_def : K ≤ K' ↔ (K : Set L) ⊆ K' :=
   Iff.rfl
 #align lie_subalgebra.le_def LieSubalgebra.le_def
 
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 @[simp, norm_cast]
 theorem coe_submodule_le_coe_submodule : (K : Submodule R L) ≤ K' ↔ K ≤ K' :=
   Iff.rfl
@@ -571,34 +457,16 @@ theorem coe_submodule_le_coe_submodule : (K : Submodule R L) ≤ K' ↔ K ≤ K'
 instance : Bot (LieSubalgebra R L) :=
   ⟨0⟩
 
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 @[simp]
 theorem bot_coe : ((⊥ : LieSubalgebra R L) : Set L) = {0} :=
   rfl
 #align lie_subalgebra.bot_coe LieSubalgebra.bot_coe
 
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 @[simp]
 theorem bot_coe_submodule : ((⊥ : LieSubalgebra R L) : Submodule R L) = ⊥ :=
   rfl
 #align lie_subalgebra.bot_coe_submodule LieSubalgebra.bot_coe_submodule
 
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 @[simp]
 theorem mem_bot (x : L) : x ∈ (⊥ : LieSubalgebra R L) ↔ x = 0 :=
   mem_singleton_iff
@@ -607,45 +475,21 @@ theorem mem_bot (x : L) : x ∈ (⊥ : LieSubalgebra R L) ↔ x = 0 :=
 instance : Top (LieSubalgebra R L) :=
   ⟨{ (⊤ : Submodule R L) with lie_mem' := fun x y hx hy => mem_univ ⁅x, y⁆ }⟩
 
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 @[simp]
 theorem top_coe : ((⊤ : LieSubalgebra R L) : Set L) = univ :=
   rfl
 #align lie_subalgebra.top_coe LieSubalgebra.top_coe
 
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 @[simp]
 theorem top_coe_submodule : ((⊤ : LieSubalgebra R L) : Submodule R L) = ⊤ :=
   rfl
 #align lie_subalgebra.top_coe_submodule LieSubalgebra.top_coe_submodule
 
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 @[simp]
 theorem mem_top (x : L) : x ∈ (⊤ : LieSubalgebra R L) :=
   mem_univ x
 #align lie_subalgebra.mem_top LieSubalgebra.mem_top
 
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 theorem LieHom.range_eq_map : f.range = map f ⊤ := by ext; simp
 #align lie_hom.range_eq_map LieHom.range_eq_map
 
@@ -666,23 +510,11 @@ instance : InfSet (LieSubalgebra R L) :=
           forall_apply_eq_imp_iff₂, exists_imp] at *
         intro K hK; exact K.lie_mem (hx K hK) (hy K hK) }⟩
 
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 @[simp]
 theorem inf_coe : (↑(K ⊓ K') : Set L) = K ∩ K' :=
   rfl
 #align lie_subalgebra.inf_coe LieSubalgebra.inf_coe
 
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 /- ./././Mathport/Syntax/Translate/Expr.lean:366:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S} -/
 @[simp]
 theorem sInf_coe_to_submodule (S : Set (LieSubalgebra R L)) :
@@ -692,12 +524,6 @@ theorem sInf_coe_to_submodule (S : Set (LieSubalgebra R L)) :
   rfl
 #align lie_subalgebra.Inf_coe_to_submodule LieSubalgebra.sInf_coe_to_submodule
 
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 @[simp]
 theorem sInf_coe (S : Set (LieSubalgebra R L)) : (↑(sInf S) : Set L) = ⋂ s ∈ S, (s : Set L) :=
   by
@@ -747,56 +573,26 @@ instance : CanonicallyOrderedAddMonoid (LieSubalgebra R L) :=
     exists_add_of_le := fun a b h => ⟨b, (sup_eq_right.2 h).symm⟩
     le_self_add := fun a b => le_sup_left }
 
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 @[simp]
 theorem add_eq_sup : K + K' = K ⊔ K' :=
   rfl
 #align lie_subalgebra.add_eq_sup LieSubalgebra.add_eq_sup
 
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 @[norm_cast, simp]
 theorem inf_coe_to_submodule :
     (↑(K ⊓ K') : Submodule R L) = (K : Submodule R L) ⊓ (K' : Submodule R L) :=
   rfl
 #align lie_subalgebra.inf_coe_to_submodule LieSubalgebra.inf_coe_to_submodule
 
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 @[simp]
 theorem mem_inf (x : L) : x ∈ K ⊓ K' ↔ x ∈ K ∧ x ∈ K' := by
   rw [← mem_coe_submodule, ← mem_coe_submodule, ← mem_coe_submodule, inf_coe_to_submodule,
     Submodule.mem_inf]
 #align lie_subalgebra.mem_inf LieSubalgebra.mem_inf
 
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 theorem eq_bot_iff : K = ⊥ ↔ ∀ x : L, x ∈ K → x = 0 := by rw [eq_bot_iff]; exact Iff.rfl
 #align lie_subalgebra.eq_bot_iff LieSubalgebra.eq_bot_iff
 
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 instance subsingleton_of_bot : Subsingleton (LieSubalgebra R ↥(⊥ : LieSubalgebra R L)) :=
   by
   apply subsingleton_of_bot_eq_top
@@ -804,24 +600,12 @@ instance subsingleton_of_bot : Subsingleton (LieSubalgebra R ↥(⊥ : LieSubalg
   simp only [true_iff_iff, eq_self_iff_true, Submodule.mk_eq_zero, mem_bot]
 #align lie_subalgebra.subsingleton_of_bot LieSubalgebra.subsingleton_of_bot
 
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 theorem subsingleton_bot : Subsingleton ↥(⊥ : LieSubalgebra R L) :=
   show Subsingleton ((⊥ : LieSubalgebra R L) : Set L) by simp
 #align lie_subalgebra.subsingleton_bot LieSubalgebra.subsingleton_bot
 
 variable (R L)
 
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 theorem wellFounded_of_noetherian [IsNoetherian R L] :
     WellFounded ((· > ·) : LieSubalgebra R L → LieSubalgebra R L → Prop) :=
   let f :
@@ -838,55 +622,31 @@ section NestedSubalgebras
 
 variable (h : K ≤ K')
 
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 /-- Given two nested Lie subalgebras `K ⊆ K'`, the inclusion `K ↪ K'` is a morphism of Lie
 algebras. -/
 def homOfLe : K →ₗ⁅R⁆ K' :=
   { Submodule.ofLe h with map_lie' := fun x y => rfl }
 #align lie_subalgebra.hom_of_le LieSubalgebra.homOfLe
 
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 @[simp]
 theorem coe_homOfLe (x : K) : (homOfLe h x : L) = x :=
   rfl
 #align lie_subalgebra.coe_hom_of_le LieSubalgebra.coe_homOfLe
 
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 theorem homOfLe_apply (x : K) : homOfLe h x = ⟨x.1, h x.2⟩ :=
   rfl
 #align lie_subalgebra.hom_of_le_apply LieSubalgebra.homOfLe_apply
 
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 theorem homOfLe_injective : Function.Injective (homOfLe h) := fun x y => by
   simp only [hom_of_le_apply, imp_self, Subtype.mk_eq_mk, SetLike.coe_eq_coe, Subtype.val_eq_coe]
 #align lie_subalgebra.hom_of_le_injective LieSubalgebra.homOfLe_injective
 
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 /-- Given two nested Lie subalgebras `K ⊆ K'`, we can view `K` as a Lie subalgebra of `K'`,
 regarded as Lie algebra in its own right. -/
 def ofLe : LieSubalgebra R K' :=
   (homOfLe h).range
 #align lie_subalgebra.of_le LieSubalgebra.ofLe
 
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 @[simp]
 theorem mem_ofLe (x : K') : x ∈ ofLe h ↔ (x : L) ∈ K :=
   by
@@ -896,32 +656,20 @@ theorem mem_ofLe (x : K') : x ∈ ofLe h ↔ (x : L) ∈ K :=
   · intro h; use ⟨(x : L), h⟩; simp
 #align lie_subalgebra.mem_of_le LieSubalgebra.mem_ofLe
 
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 theorem ofLe_eq_comap_incl : ofLe h = K.comap K'.incl := by ext; rw [mem_of_le]; rfl
 #align lie_subalgebra.of_le_eq_comap_incl LieSubalgebra.ofLe_eq_comap_incl
 
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 @[simp]
 theorem coe_ofLe : (ofLe h : Submodule R K') = (Submodule.ofLe h).range :=
   rfl
 #align lie_subalgebra.coe_of_le LieSubalgebra.coe_ofLe
 
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 /-- Given nested Lie subalgebras `K ⊆ K'`, there is a natural equivalence from `K` to its image in
 `K'`.  -/
 noncomputable def equivOfLe : K ≃ₗ⁅R⁆ ofLe h :=
   (homOfLe h).equivRangeOfInjective (homOfLe_injective h)
 #align lie_subalgebra.equiv_of_le LieSubalgebra.equivOfLe
 
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 @[simp]
 theorem equivOfLe_apply (x : K) : equivOfLe h x = ⟨homOfLe h x, (homOfLe h).mem_range_self x⟩ :=
   rfl
@@ -929,23 +677,11 @@ theorem equivOfLe_apply (x : K) : equivOfLe h x = ⟨homOfLe h x, (homOfLe h).me
 
 end NestedSubalgebras
 
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 theorem map_le_iff_le_comap {K : LieSubalgebra R L} {K' : LieSubalgebra R L₂} :
     map f K ≤ K' ↔ K ≤ comap f K' :=
   Set.image_subset_iff
 #align lie_subalgebra.map_le_iff_le_comap LieSubalgebra.map_le_iff_le_comap
 
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 theorem gc_map_comap : GaloisConnection (map f) (comap f) := fun K K' => map_le_iff_le_comap
 #align lie_subalgebra.gc_map_comap LieSubalgebra.gc_map_comap
 
@@ -976,22 +712,10 @@ theorem subset_lieSpan : s ⊆ lieSpan R L s := by intro m hm; erw [mem_lie_span
 #align lie_subalgebra.subset_lie_span LieSubalgebra.subset_lieSpan
 -/
 
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 theorem submodule_span_le_lieSpan : Submodule.span R s ≤ lieSpan R L s := by rw [Submodule.span_le];
   apply subset_lie_span
 #align lie_subalgebra.submodule_span_le_lie_span LieSubalgebra.submodule_span_le_lieSpan
 
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 theorem lieSpan_le {K} : lieSpan R L s ≤ K ↔ s ⊆ K :=
   by
   constructor
@@ -999,12 +723,6 @@ theorem lieSpan_le {K} : lieSpan R L s ≤ K ↔ s ⊆ K :=
   · intro hs m hm; rw [mem_lie_span] at hm; exact hm _ hs
 #align lie_subalgebra.lie_span_le LieSubalgebra.lieSpan_le
 
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 theorem lieSpan_mono {t : Set L} (h : s ⊆ t) : lieSpan R L s ≤ lieSpan R L t := by rw [lie_span_le];
   exact Set.Subset.trans h subset_lie_span
 #align lie_subalgebra.lie_span_mono LieSubalgebra.lieSpan_mono
@@ -1027,12 +745,6 @@ theorem coe_lieSpan_submodule_eq_iff {p : Submodule R L} :
 
 variable (R L)
 
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 /-- `lie_span` forms a Galois insertion with the coercion from `lie_subalgebra` to `set`. -/
 protected def gi : GaloisInsertion (lieSpan R L : Set L → LieSubalgebra R L) coe
     where
@@ -1042,23 +754,11 @@ protected def gi : GaloisInsertion (lieSpan R L : Set L → LieSubalgebra R L) c
   choice_eq s h := rfl
 #align lie_subalgebra.gi LieSubalgebra.gi
 
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 @[simp]
 theorem span_empty : lieSpan R L (∅ : Set L) = ⊥ :=
   (LieSubalgebra.gi R L).gc.l_bot
 #align lie_subalgebra.span_empty LieSubalgebra.span_empty
 
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 @[simp]
 theorem span_univ : lieSpan R L (Set.univ : Set L) = ⊤ :=
   eq_top_iff.2 <| SetLike.le_def.2 <| subset_lieSpan
@@ -1066,22 +766,10 @@ theorem span_univ : lieSpan R L (Set.univ : Set L) = ⊤ :=
 
 variable {L}
 
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 theorem span_union (s t : Set L) : lieSpan R L (s ∪ t) = lieSpan R L s ⊔ lieSpan R L t :=
   (LieSubalgebra.gi R L).gc.l_sup
 #align lie_subalgebra.span_union LieSubalgebra.span_union
 
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 theorem span_iUnion {ι} (s : ι → Set L) : lieSpan R L (⋃ i, s i) = ⨆ i, lieSpan R L (s i) :=
   (LieSubalgebra.gi R L).gc.l_iSup
 #align lie_subalgebra.span_Union LieSubalgebra.span_iUnion
@@ -1098,21 +786,12 @@ variable {R : Type u} {L₁ : Type v} {L₂ : Type w}
 
 variable [CommRing R] [LieRing L₁] [LieRing L₂] [LieAlgebra R L₁] [LieAlgebra R L₂]
 
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 /-- An injective Lie algebra morphism is an equivalence onto its range. -/
 noncomputable def ofInjective (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Injective f) : L₁ ≃ₗ⁅R⁆ f.range :=
   { LinearEquiv.ofInjective (f : L₁ →ₗ[R] L₂) <| by rwa [LieHom.coe_toLinearMap] with
     map_lie' := fun x y => by apply SetCoe.ext; simpa }
 #align lie_equiv.of_injective LieEquiv.ofInjective
 
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 @[simp]
 theorem ofInjective_apply (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Injective f) (x : L₁) :
     ↑(ofInjective f h x) = f x :=
@@ -1121,12 +800,6 @@ theorem ofInjective_apply (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Injective
 
 variable (L₁' L₁'' : LieSubalgebra R L₁) (L₂' : LieSubalgebra R L₂)
 
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 /-- Lie subalgebras that are equal as sets are equivalent as Lie algebras. -/
 def ofEq (h : (L₁' : Set L₁) = L₁'') : L₁' ≃ₗ⁅R⁆ L₁'' :=
   {
@@ -1135,9 +808,6 @@ def ofEq (h : (L₁' : Set L₁) = L₁'') : L₁' ≃ₗ⁅R⁆ L₁'' :=
     map_lie' := fun x y => by apply SetCoe.ext; simp }
 #align lie_equiv.of_eq LieEquiv.ofEq
 
-/- warning: lie_equiv.of_eq_apply -> LieEquiv.ofEq_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align lie_equiv.of_eq_apply LieEquiv.ofEq_applyₓ'. -/
 @[simp]
 theorem ofEq_apply (L L' : LieSubalgebra R L₁) (h : (L : Set L₁) = L') (x : L) :
     (↑(ofEq L L' h x) : L₁) = x :=
@@ -1146,9 +816,6 @@ theorem ofEq_apply (L L' : LieSubalgebra R L₁) (h : (L : Set L₁) = L') (x :
 
 variable (e : L₁ ≃ₗ⁅R⁆ L₂)
 
-/- warning: lie_equiv.lie_subalgebra_map -> LieEquiv.lieSubalgebraMap is a dubious translation:
-<too large>
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 /-- An equivalence of Lie algebras restricts to an equivalence from any Lie subalgebra onto its
 image. -/
 def lieSubalgebraMap : L₁'' ≃ₗ⁅R⁆ (L₁''.map e : LieSubalgebra R L₂) :=
@@ -1156,17 +823,11 @@ def lieSubalgebraMap : L₁'' ≃ₗ⁅R⁆ (L₁''.map e : LieSubalgebra R L₂
     map_lie' := fun x y => by apply SetCoe.ext; exact LieHom.map_lie (↑e : L₁ →ₗ⁅R⁆ L₂) ↑x ↑y }
 #align lie_equiv.lie_subalgebra_map LieEquiv.lieSubalgebraMap
 
-/- warning: lie_equiv.lie_subalgebra_map_apply -> LieEquiv.lieSubalgebraMap_apply is a dubious translation:
-<too large>
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 @[simp]
 theorem lieSubalgebraMap_apply (x : L₁'') : ↑(e.lieSubalgebraMap _ x) = e x :=
   rfl
 #align lie_equiv.lie_subalgebra_map_apply LieEquiv.lieSubalgebraMap_apply
 
-/- warning: lie_equiv.of_subalgebras -> LieEquiv.ofSubalgebras is a dubious translation:
-<too large>
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 /-- An equivalence of Lie algebras restricts to an equivalence from any Lie subalgebra onto its
 image. -/
 def ofSubalgebras (h : L₁'.map ↑e = L₂') : L₁' ≃ₗ⁅R⁆ L₂' :=
@@ -1174,17 +835,11 @@ def ofSubalgebras (h : L₁'.map ↑e = L₂') : L₁' ≃ₗ⁅R⁆ L₂' :=
     map_lie' := fun x y => by apply SetCoe.ext; exact LieHom.map_lie (↑e : L₁ →ₗ⁅R⁆ L₂) ↑x ↑y }
 #align lie_equiv.of_subalgebras LieEquiv.ofSubalgebras
 
-/- warning: lie_equiv.of_subalgebras_apply -> LieEquiv.ofSubalgebras_apply is a dubious translation:
-<too large>
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 @[simp]
 theorem ofSubalgebras_apply (h : L₁'.map ↑e = L₂') (x : L₁') : ↑(e.ofSubalgebras _ _ h x) = e x :=
   rfl
 #align lie_equiv.of_subalgebras_apply LieEquiv.ofSubalgebras_apply
 
-/- warning: lie_equiv.of_subalgebras_symm_apply -> LieEquiv.ofSubalgebras_symm_apply is a dubious translation:
-<too large>
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 @[simp]
 theorem ofSubalgebras_symm_apply (h : L₁'.map ↑e = L₂') (x : L₂') :
     ↑((e.ofSubalgebras _ _ h).symm x) = e.symm x :=
Diff
@@ -72,10 +72,7 @@ namespace LieSubalgebra
 instance : SetLike (LieSubalgebra R L) L
     where
   coe L' := L'
-  coe_injective' L' L'' h := by
-    rcases L' with ⟨⟨⟩⟩
-    rcases L'' with ⟨⟨⟩⟩
-    congr
+  coe_injective' L' L'' h := by rcases L' with ⟨⟨⟩⟩; rcases L'' with ⟨⟨⟩⟩; congr
 
 instance : AddSubgroupClass (LieSubalgebra R L) L
     where
@@ -87,22 +84,10 @@ instance : AddSubgroupClass (LieSubalgebra R L) L
 instance (L' : LieSubalgebra R L) : LieRing L'
     where
   bracket x y := ⟨⁅x.val, y.val⁆, L'.lie_mem' x.property y.property⟩
-  lie_add := by
-    intros
-    apply SetCoe.ext
-    apply lie_add
-  add_lie := by
-    intros
-    apply SetCoe.ext
-    apply add_lie
-  lie_self := by
-    intros
-    apply SetCoe.ext
-    apply lie_self
-  leibniz_lie := by
-    intros
-    apply SetCoe.ext
-    apply leibniz_lie
+  lie_add := by intros ; apply SetCoe.ext; apply lie_add
+  add_lie := by intros ; apply SetCoe.ext; apply add_lie
+  lie_self := by intros ; apply SetCoe.ext; apply lie_self
+  leibniz_lie := by intros ; apply SetCoe.ext; apply leibniz_lie
 
 section
 
@@ -128,10 +113,7 @@ end
 
 /-- A Lie subalgebra forms a new Lie algebra. -/
 instance (L' : LieSubalgebra R L) : LieAlgebra R L'
-    where lie_smul := by
-    intros
-    apply SetCoe.ext
-    apply lie_smul
+    where lie_smul := by intros ; apply SetCoe.ext; apply lie_smul
 
 variable {R L} (L' : LieSubalgebra R L)
 
@@ -262,10 +244,7 @@ theorem mk_coe (S : Set L) (h₁ h₂ h₃ h₄) :
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_to_submodule_mk LieSubalgebra.coe_to_submodule_mkₓ'. -/
 @[simp]
 theorem coe_to_submodule_mk (p : Submodule R L) (h) :
-    (({ p with lie_mem' := h } : LieSubalgebra R L) : Submodule R L) = p :=
-  by
-  cases p
-  rfl
+    (({ p with lie_mem' := h } : LieSubalgebra R L) : Submodule R L) = p := by cases p; rfl
 #align lie_subalgebra.coe_to_submodule_mk LieSubalgebra.coe_to_submodule_mk
 
 #print LieSubalgebra.coe_injective /-
@@ -283,10 +262,7 @@ theorem coe_set_eq (L₁' L₂' : LieSubalgebra R L) : (L₁' : Set L) = L₂' 
 
 #print LieSubalgebra.to_submodule_injective /-
 theorem to_submodule_injective : Function.Injective (coe : LieSubalgebra R L → Submodule R L) :=
-  fun L₁' L₂' h => by
-  rw [SetLike.ext'_iff] at h
-  rw [← coe_set_eq]
-  exact h
+  fun L₁' L₂' h => by rw [SetLike.ext'_iff] at h; rw [← coe_set_eq]; exact h
 #align lie_subalgebra.to_submodule_injective LieSubalgebra.to_submodule_injective
 -/
 
@@ -364,10 +340,7 @@ Case conversion may be inaccurate. Consider using '#align lie_subalgebra.incl Li
 /-- The embedding of a Lie subalgebra into the ambient space as a morphism of Lie algebras. -/
 def incl : L' →ₗ⁅R⁆ L :=
   { (L' : Submodule R L).Subtype with
-    map_lie' := fun x y =>
-      by
-      simp only [LinearMap.toFun_eq_coe, Submodule.subtype_apply]
-      rfl }
+    map_lie' := fun x y => by simp only [LinearMap.toFun_eq_coe, Submodule.subtype_apply]; rfl }
 #align lie_subalgebra.incl LieSubalgebra.incl
 
 /- warning: lie_subalgebra.coe_incl -> LieSubalgebra.coe_incl is a dubious translation:
@@ -410,12 +383,8 @@ def range : LieSubalgebra R L₂ :=
     lie_mem' := fun x y =>
       show x ∈ f.toLinearMap.range → y ∈ f.toLinearMap.range → ⁅x, y⁆ ∈ f.toLinearMap.range
         by
-        repeat' rw [LinearMap.mem_range]
-        rintro ⟨x', hx⟩ ⟨y', hy⟩
-        refine' ⟨⁅x', y'⁆, _⟩
-        rw [← hx, ← hy]
-        change f ⁅x', y'⁆ = ⁅f x', f y'⁆
-        rw [map_lie] }
+        repeat' rw [LinearMap.mem_range]; rintro ⟨x', hx⟩ ⟨y', hy⟩; refine' ⟨⁅x', y'⁆, _⟩
+        rw [← hx, ← hy]; change f ⁅x', y'⁆ = ⁅f x', f y'⁆; rw [map_lie] }
 #align lie_hom.range LieHom.range
 -/
 
@@ -460,9 +429,7 @@ Case conversion may be inaccurate. Consider using '#align lie_hom.range_restrict
 /-- We can restrict a morphism to a (surjective) map to its range. -/
 def rangeRestrict : L →ₗ⁅R⁆ f.range :=
   { (f : L →ₗ[R] L₂).range_restrict with
-    map_lie' := fun x y => by
-      apply Subtype.ext
-      exact f.map_lie x y }
+    map_lie' := fun x y => by apply Subtype.ext; exact f.map_lie x y }
 #align lie_hom.range_restrict LieHom.rangeRestrict
 
 /- warning: lie_hom.range_restrict_apply -> LieHom.rangeRestrict_apply is a dubious translation:
@@ -514,11 +481,8 @@ theorem Submodule.exists_lieSubalgebra_coe_eq_iff (p : Submodule R L) :
     (∃ K : LieSubalgebra R L, ↑K = p) ↔ ∀ x y : L, x ∈ p → y ∈ p → ⁅x, y⁆ ∈ p :=
   by
   constructor
-  · rintro ⟨K, rfl⟩ _ _
-    exact K.lie_mem'
-  · intro h
-    use { p with lie_mem' := h }
-    exact LieSubalgebra.coe_to_submodule_mk p _
+  · rintro ⟨K, rfl⟩ _ _; exact K.lie_mem'
+  · intro h; use { p with lie_mem' := h }; exact LieSubalgebra.coe_to_submodule_mk p _
 #align submodule.exists_lie_subalgebra_coe_eq_iff Submodule.exists_lieSubalgebra_coe_eq_iff
 -/
 
@@ -528,9 +492,7 @@ variable (K K' : LieSubalgebra R L) (K₂ : LieSubalgebra R L₂)
 
 #print LieSubalgebra.incl_range /-
 @[simp]
-theorem incl_range : K.incl.range = K :=
-  by
-  rw [← coe_to_submodule_eq_iff]
+theorem incl_range : K.incl.range = K := by rw [← coe_to_submodule_eq_iff];
   exact (K : Submodule R L).range_subtype
 #align lie_subalgebra.incl_range LieSubalgebra.incl_range
 -/
@@ -541,12 +503,8 @@ codomain. -/
 def map : LieSubalgebra R L₂ :=
   { (K : Submodule R L).map (f : L →ₗ[R] L₂) with
     lie_mem' := fun x y hx hy => by
-      erw [Submodule.mem_map] at hx
-      rcases hx with ⟨x', hx', hx⟩
-      rw [← hx]
-      erw [Submodule.mem_map] at hy
-      rcases hy with ⟨y', hy', hy⟩
-      rw [← hy]
+      erw [Submodule.mem_map] at hx; rcases hx with ⟨x', hx', hx⟩; rw [← hx]
+      erw [Submodule.mem_map] at hy; rcases hy with ⟨y', hy', hy⟩; rw [← hy]
       erw [Submodule.mem_map]
       exact ⟨⁅x', y'⁆, K.lie_mem hx' hy', f.map_lie x' y'⟩ }
 #align lie_subalgebra.map LieSubalgebra.map
@@ -574,9 +532,7 @@ theorem mem_map_submodule (e : L ≃ₗ⁅R⁆ L₂) (x : L₂) :
 domain. -/
 def comap : LieSubalgebra R L :=
   { (K₂ : Submodule R L₂).comap (f : L →ₗ[R] L₂) with
-    lie_mem' := fun x y hx hy =>
-      by
-      suffices ⁅f x, f y⁆ ∈ K₂ by simp [this]
+    lie_mem' := fun x y hx hy => by suffices ⁅f x, f y⁆ ∈ K₂ by simp [this];
       exact K₂.lie_mem hx hy }
 #align lie_subalgebra.comap LieSubalgebra.comap
 -/
@@ -690,10 +646,7 @@ lean 3 declaration is
 but is expected to have type
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f) (LieSubalgebra.map.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f (Top.top.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instTopLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)))
 Case conversion may be inaccurate. Consider using '#align lie_hom.range_eq_map LieHom.range_eq_mapₓ'. -/
-theorem LieHom.range_eq_map : f.range = map f ⊤ :=
-  by
-  ext
-  simp
+theorem LieHom.range_eq_map : f.range = map f ⊤ := by ext; simp
 #align lie_hom.range_eq_map LieHom.range_eq_map
 
 instance : Inf (LieSubalgebra R L) :=
@@ -711,8 +664,7 @@ instance : InfSet (LieSubalgebra R L) :=
         by
         simp only [Submodule.mem_carrier, mem_Inter, Submodule.sInf_coe, mem_set_of_eq,
           forall_apply_eq_imp_iff₂, exists_imp] at *
-        intro K hK
-        exact K.lie_mem (hx K hK) (hy K hK) }⟩
+        intro K hK; exact K.lie_mem (hx K hK) (hy K hK) }⟩
 
 /- warning: lie_subalgebra.inf_coe -> LieSubalgebra.inf_coe is a dubious translation:
 lean 3 declaration is
@@ -757,10 +709,7 @@ theorem sInf_coe (S : Set (LieSubalgebra R L)) : (↑(sInf S) : Set L) = ⋂ s 
 #print LieSubalgebra.sInf_glb /-
 theorem sInf_glb (S : Set (LieSubalgebra R L)) : IsGLB S (sInf S) :=
   by
-  have h : ∀ K K' : LieSubalgebra R L, (K : Set L) ≤ K' ↔ K ≤ K' :=
-    by
-    intros
-    exact Iff.rfl
+  have h : ∀ K K' : LieSubalgebra R L, (K : Set L) ≤ K' ↔ K ≤ K' := by intros ; exact Iff.rfl
   apply IsGLB.of_image h
   simp only [Inf_coe]
   exact isGLB_biInf
@@ -774,10 +723,7 @@ than we would otherwise obtain from `complete_lattice_of_Inf`. -/
 instance : CompleteLattice (LieSubalgebra R L) :=
   { completeLatticeOfInf _ sInf_glb with
     bot := ⊥
-    bot_le := fun N _ h => by
-      rw [mem_bot] at h
-      rw [h]
-      exact N.zero_mem'
+    bot_le := fun N _ h => by rw [mem_bot] at h; rw [h]; exact N.zero_mem'
     top := ⊤
     le_top := fun _ _ _ => trivial
     inf := (· ⊓ ·)
@@ -842,10 +788,7 @@ lean 3 declaration is
 but is expected to have type
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Iff (Eq.{succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) K (Bot.bot.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instBotLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (forall (x : L), (Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K) -> (Eq.{succ u2} L x (OfNat.ofNat.{u2} L 0 (Zero.toOfNat0.{u2} L (NegZeroClass.toZero.{u2} L (SubNegZeroMonoid.toNegZeroClass.{u2} L (SubtractionMonoid.toSubNegZeroMonoid.{u2} L (SubtractionCommMonoid.toSubtractionMonoid.{u2} L (AddCommGroup.toDivisionAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))))))))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.eq_bot_iff LieSubalgebra.eq_bot_iffₓ'. -/
-theorem eq_bot_iff : K = ⊥ ↔ ∀ x : L, x ∈ K → x = 0 :=
-  by
-  rw [eq_bot_iff]
-  exact Iff.rfl
+theorem eq_bot_iff : K = ⊥ ↔ ∀ x : L, x ∈ K → x = 0 := by rw [eq_bot_iff]; exact Iff.rfl
 #align lie_subalgebra.eq_bot_iff LieSubalgebra.eq_bot_iff
 
 /- warning: lie_subalgebra.subsingleton_of_bot -> LieSubalgebra.subsingleton_of_bot is a dubious translation:
@@ -949,21 +892,14 @@ theorem mem_ofLe (x : K') : x ∈ ofLe h ↔ (x : L) ∈ K :=
   by
   simp only [of_le, hom_of_le_apply, LieHom.mem_range]
   constructor
-  · rintro ⟨y, rfl⟩
-    exact y.property
-  · intro h
-    use ⟨(x : L), h⟩
-    simp
+  · rintro ⟨y, rfl⟩; exact y.property
+  · intro h; use ⟨(x : L), h⟩; simp
 #align lie_subalgebra.mem_of_le LieSubalgebra.mem_ofLe
 
 /- warning: lie_subalgebra.of_le_eq_comap_incl -> LieSubalgebra.ofLe_eq_comap_incl is a dubious translation:
 <too large>
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.of_le_eq_comap_incl LieSubalgebra.ofLe_eq_comap_inclₓ'. -/
-theorem ofLe_eq_comap_incl : ofLe h = K.comap K'.incl :=
-  by
-  ext
-  rw [mem_of_le]
-  rfl
+theorem ofLe_eq_comap_incl : ofLe h = K.comap K'.incl := by ext; rw [mem_of_le]; rfl
 #align lie_subalgebra.of_le_eq_comap_incl LieSubalgebra.ofLe_eq_comap_incl
 
 /- warning: lie_subalgebra.coe_of_le -> LieSubalgebra.coe_ofLe is a dubious translation:
@@ -1029,20 +965,13 @@ def lieSpan : LieSubalgebra R L :=
 variable {R L s}
 
 #print LieSubalgebra.mem_lieSpan /-
-theorem mem_lieSpan {x : L} : x ∈ lieSpan R L s ↔ ∀ K : LieSubalgebra R L, s ⊆ K → x ∈ K :=
-  by
-  change x ∈ (lie_span R L s : Set L) ↔ _
-  erw [Inf_coe]
-  exact Set.mem_iInter₂
+theorem mem_lieSpan {x : L} : x ∈ lieSpan R L s ↔ ∀ K : LieSubalgebra R L, s ⊆ K → x ∈ K := by
+  change x ∈ (lie_span R L s : Set L) ↔ _; erw [Inf_coe]; exact Set.mem_iInter₂
 #align lie_subalgebra.mem_lie_span LieSubalgebra.mem_lieSpan
 -/
 
 #print LieSubalgebra.subset_lieSpan /-
-theorem subset_lieSpan : s ⊆ lieSpan R L s :=
-  by
-  intro m hm
-  erw [mem_lie_span]
-  intro K hK
+theorem subset_lieSpan : s ⊆ lieSpan R L s := by intro m hm; erw [mem_lie_span]; intro K hK;
   exact hK hm
 #align lie_subalgebra.subset_lie_span LieSubalgebra.subset_lieSpan
 -/
@@ -1053,9 +982,7 @@ lean 3 declaration is
 but is expected to have type
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {s : Set.{u2} L}, LE.le.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Preorder.toLE.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.completeLattice.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))))) (Submodule.span.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) s) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 s))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.submodule_span_le_lie_span LieSubalgebra.submodule_span_le_lieSpanₓ'. -/
-theorem submodule_span_le_lieSpan : Submodule.span R s ≤ lieSpan R L s :=
-  by
-  rw [Submodule.span_le]
+theorem submodule_span_le_lieSpan : Submodule.span R s ≤ lieSpan R L s := by rw [Submodule.span_le];
   apply subset_lie_span
 #align lie_subalgebra.submodule_span_le_lie_span LieSubalgebra.submodule_span_le_lieSpan
 
@@ -1069,9 +996,7 @@ theorem lieSpan_le {K} : lieSpan R L s ≤ K ↔ s ⊆ K :=
   by
   constructor
   · exact Set.Subset.trans subset_lie_span
-  · intro hs m hm
-    rw [mem_lie_span] at hm
-    exact hm _ hs
+  · intro hs m hm; rw [mem_lie_span] at hm; exact hm _ hs
 #align lie_subalgebra.lie_span_le LieSubalgebra.lieSpan_le
 
 /- warning: lie_subalgebra.lie_span_mono -> LieSubalgebra.lieSpan_mono is a dubious translation:
@@ -1080,9 +1005,7 @@ lean 3 declaration is
 but is expected to have type
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {s : Set.{u2} L} {t : Set.{u2} L}, (HasSubset.Subset.{u2} (Set.{u2} L) (Set.instHasSubsetSet.{u2} L) s t) -> (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 s) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 t))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.lie_span_mono LieSubalgebra.lieSpan_monoₓ'. -/
-theorem lieSpan_mono {t : Set L} (h : s ⊆ t) : lieSpan R L s ≤ lieSpan R L t :=
-  by
-  rw [lie_span_le]
+theorem lieSpan_mono {t : Set L} (h : s ⊆ t) : lieSpan R L s ≤ lieSpan R L t := by rw [lie_span_le];
   exact Set.Subset.trans h subset_lie_span
 #align lie_subalgebra.lie_span_mono LieSubalgebra.lieSpan_mono
 
@@ -1097,9 +1020,7 @@ theorem coe_lieSpan_submodule_eq_iff {p : Submodule R L} :
     (lieSpan R L (p : Set L) : Submodule R L) = p ↔ ∃ K : LieSubalgebra R L, ↑K = p :=
   by
   rw [p.exists_lie_subalgebra_coe_eq_iff]; constructor <;> intro h
-  · intro x m hm
-    rw [← h, mem_coe_submodule]
-    exact lie_mem _ (subset_lie_span hm)
+  · intro x m hm; rw [← h, mem_coe_submodule]; exact lie_mem _ (subset_lie_span hm)
   · rw [← coe_to_submodule_mk p h, coe_to_submodule, coe_to_submodule_eq_iff, lie_span_eq]
 #align lie_subalgebra.coe_lie_span_submodule_eq_iff LieSubalgebra.coe_lieSpan_submodule_eq_iff
 -/
@@ -1186,9 +1107,7 @@ Case conversion may be inaccurate. Consider using '#align lie_equiv.of_injective
 /-- An injective Lie algebra morphism is an equivalence onto its range. -/
 noncomputable def ofInjective (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Injective f) : L₁ ≃ₗ⁅R⁆ f.range :=
   { LinearEquiv.ofInjective (f : L₁ →ₗ[R] L₂) <| by rwa [LieHom.coe_toLinearMap] with
-    map_lie' := fun x y => by
-      apply SetCoe.ext
-      simpa }
+    map_lie' := fun x y => by apply SetCoe.ext; simpa }
 #align lie_equiv.of_injective LieEquiv.ofInjective
 
 /- warning: lie_equiv.of_injective_apply -> LieEquiv.ofInjective_apply is a dubious translation:
@@ -1212,13 +1131,8 @@ Case conversion may be inaccurate. Consider using '#align lie_equiv.of_eq LieEqu
 def ofEq (h : (L₁' : Set L₁) = L₁'') : L₁' ≃ₗ⁅R⁆ L₁'' :=
   {
     LinearEquiv.ofEq (↑L₁') (↑L₁'')
-      (by
-        ext x
-        change x ∈ (L₁' : Set L₁) ↔ x ∈ (L₁'' : Set L₁)
-        rw [h]) with
-    map_lie' := fun x y => by
-      apply SetCoe.ext
-      simp }
+      (by ext x; change x ∈ (L₁' : Set L₁) ↔ x ∈ (L₁'' : Set L₁); rw [h]) with
+    map_lie' := fun x y => by apply SetCoe.ext; simp }
 #align lie_equiv.of_eq LieEquiv.ofEq
 
 /- warning: lie_equiv.of_eq_apply -> LieEquiv.ofEq_apply is a dubious translation:
@@ -1239,9 +1153,7 @@ Case conversion may be inaccurate. Consider using '#align lie_equiv.lie_subalgeb
 image. -/
 def lieSubalgebraMap : L₁'' ≃ₗ⁅R⁆ (L₁''.map e : LieSubalgebra R L₂) :=
   { LinearEquiv.submoduleMap (e : L₁ ≃ₗ[R] L₂) ↑L₁'' with
-    map_lie' := fun x y => by
-      apply SetCoe.ext
-      exact LieHom.map_lie (↑e : L₁ →ₗ⁅R⁆ L₂) ↑x ↑y }
+    map_lie' := fun x y => by apply SetCoe.ext; exact LieHom.map_lie (↑e : L₁ →ₗ⁅R⁆ L₂) ↑x ↑y }
 #align lie_equiv.lie_subalgebra_map LieEquiv.lieSubalgebraMap
 
 /- warning: lie_equiv.lie_subalgebra_map_apply -> LieEquiv.lieSubalgebraMap_apply is a dubious translation:
@@ -1258,14 +1170,8 @@ Case conversion may be inaccurate. Consider using '#align lie_equiv.of_subalgebr
 /-- An equivalence of Lie algebras restricts to an equivalence from any Lie subalgebra onto its
 image. -/
 def ofSubalgebras (h : L₁'.map ↑e = L₂') : L₁' ≃ₗ⁅R⁆ L₂' :=
-  {
-    LinearEquiv.ofSubmodules (e : L₁ ≃ₗ[R] L₂) (↑L₁') (↑L₂')
-      (by
-        rw [← h]
-        rfl) with
-    map_lie' := fun x y => by
-      apply SetCoe.ext
-      exact LieHom.map_lie (↑e : L₁ →ₗ⁅R⁆ L₂) ↑x ↑y }
+  { LinearEquiv.ofSubmodules (e : L₁ ≃ₗ[R] L₂) (↑L₁') (↑L₂') (by rw [← h]; rfl) with
+    map_lie' := fun x y => by apply SetCoe.ext; exact LieHom.map_lie (↑e : L₁ →ₗ⁅R⁆ L₂) ↑x ↑y }
 #align lie_equiv.of_subalgebras LieEquiv.ofSubalgebras
 
 /- warning: lie_equiv.of_subalgebras_apply -> LieEquiv.ofSubalgebras_apply is a dubious translation:
Diff
@@ -190,10 +190,7 @@ theorem mem_carrier {x : L} : x ∈ L'.carrier ↔ x ∈ (L' : Set L) :=
 #align lie_subalgebra.mem_carrier LieSubalgebra.mem_carrier
 
 /- warning: lie_subalgebra.mem_mk_iff -> LieSubalgebra.mem_mk_iff is a dubious translation:
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(Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃)) (Set.hasMem.{u2} L) (Bracket.bracket.{u2, u2} L L (LieRingModule.toHasBracket.{u2, u2} L L _inst_2 (LieRing.toAddCommGroup.{u2} L _inst_2) (lieRingSelfModule.{u2} L _inst_2)) x y) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃)))) {x : L}, Iff (Membership.Mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x (LieSubalgebra.mk.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃) h₄)) (Membership.Mem.{u2, u2} L (Set.{u2} L) (Set.hasMem.{u2} L) x S)
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(AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂)))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (HSMul.hSMul.{u1, u2, u2} R L L (instHSMul.{u1, u2} R L (SMulZeroClass.toSMul.{u1, u2} R L (AddMonoid.toZero.{u2} L (AddCommMonoid.toAddMonoid.{u2} 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(AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) y (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (Bracket.bracket.{u2, u2} L L (LieRingModule.toBracket.{u2, u2} L L _inst_2 (LieRing.toAddCommGroup.{u2} L _inst_2) (lieRingSelfModule.{u2} L _inst_2)) x y) (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} 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h₂) h₃) h₄)) (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x S)
+<too large>
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.mem_mk_iff LieSubalgebra.mem_mk_iffₓ'. -/
 @[simp]
 theorem mem_mk_iff (S : Set L) (h₁ h₂ h₃ h₄) {x : L} :
@@ -215,10 +212,7 @@ theorem mem_coe {x : L} : x ∈ (L' : Set L) ↔ x ∈ L' :=
 -/
 
 /- warning: lie_subalgebra.coe_bracket -> LieSubalgebra.coe_bracket is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_bracket LieSubalgebra.coe_bracketₓ'. -/
 @[simp, norm_cast]
 theorem coe_bracket (x y : L') : (↑⁅x, y⁆ : L) = ⁅(↑x : L), ↑y⁆ :=
@@ -255,10 +249,7 @@ theorem ext_iff' (L₁' L₂' : LieSubalgebra R L) : L₁' = L₂' ↔ ∀ x, x
 -/
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.mk_coe LieSubalgebra.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (S : Set L) (h₁ h₂ h₃ h₄) :
@@ -267,10 +258,7 @@ theorem mk_coe (S : Set L) (h₁ h₂ h₃ h₄) :
 #align lie_subalgebra.mk_coe LieSubalgebra.mk_coe
 
 /- warning: lie_subalgebra.coe_to_submodule_mk -> LieSubalgebra.coe_to_submodule_mk is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_to_submodule_mk LieSubalgebra.coe_to_submodule_mkₓ'. -/
 @[simp]
 theorem coe_to_submodule_mk (p : Submodule R L) (h) :
@@ -332,10 +320,7 @@ instance : LieRingModule L' M where
   leibniz_lie x y m := leibniz_lie x y m
 
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 @[simp]
 theorem coe_bracket_of_module (x : L') (m : M) : ⁅x, m⁆ = ⁅(x : L), m⁆ :=
@@ -352,10 +337,7 @@ instance : LieModule R L' M
   lie_smul t x m := by simp only [coe_bracket_of_module, lie_smul]
 
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 /-- An `L`-equivariant map of Lie modules `M → N` is `L'`-equivariant for any Lie subalgebra
 `L' ⊆ L`. -/
@@ -364,10 +346,7 @@ def LieModuleHom.restrictLie (f : M →ₗ⁅R,L⁆ N) (L' : LieSubalgebra R L)
 #align lie_module_hom.restrict_lie LieModuleHom.restrictLie
 
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 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_restrict_lie LieModuleHom.coe_restrictLieₓ'. -/
 @[simp]
 theorem LieModuleHom.coe_restrictLie (f : M →ₗ⁅R,L⁆ N) : ⇑(f.restrictLie L') = f :=
@@ -392,10 +371,7 @@ def incl : L' →ₗ⁅R⁆ L :=
 #align lie_subalgebra.incl LieSubalgebra.incl
 
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 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_incl LieSubalgebra.coe_inclₓ'. -/
 @[simp]
 theorem coe_incl : ⇑L'.incl = coe :=
@@ -490,10 +466,7 @@ def rangeRestrict : L →ₗ⁅R⁆ f.range :=
 #align lie_hom.range_restrict LieHom.rangeRestrict
 
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 Case conversion may be inaccurate. Consider using '#align lie_hom.range_restrict_apply LieHom.rangeRestrict_applyₓ'. -/
 @[simp]
 theorem rangeRestrict_apply (x : L) : f.range_restrict x = ⟨f x, f.mem_range_self x⟩ :=
@@ -501,10 +474,7 @@ theorem rangeRestrict_apply (x : L) : f.range_restrict x = ⟨f x, f.mem_range_s
 #align lie_hom.range_restrict_apply LieHom.rangeRestrict_apply
 
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 Case conversion may be inaccurate. Consider using '#align lie_hom.surjective_range_restrict LieHom.surjective_rangeRestrictₓ'. -/
 theorem surjective_rangeRestrict : Function.Surjective f.range_restrict :=
   by
@@ -529,10 +499,7 @@ noncomputable def equivRangeOfInjective (h : Function.Injective f) : L ≃ₗ⁅
 #align lie_hom.equiv_range_of_injective LieHom.equivRangeOfInjective
 
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 Case conversion may be inaccurate. Consider using '#align lie_hom.equiv_range_of_injective_apply LieHom.equivRangeOfInjective_applyₓ'. -/
 @[simp]
 theorem equivRangeOfInjective_apply (h : Function.Injective f) (x : L) :
@@ -586,10 +553,7 @@ def map : LieSubalgebra R L₂ :=
 -/
 
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 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.mem_map LieSubalgebra.mem_mapₓ'. -/
 @[simp]
 theorem mem_map (x : L₂) : x ∈ K.map f ↔ ∃ y : L, y ∈ K ∧ f y = x :=
@@ -944,10 +908,7 @@ def homOfLe : K →ₗ⁅R⁆ K' :=
 #align lie_subalgebra.hom_of_le LieSubalgebra.homOfLe
 
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 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_hom_of_le LieSubalgebra.coe_homOfLeₓ'. -/
 @[simp]
 theorem coe_homOfLe (x : K) : (homOfLe h x : L) = x :=
@@ -955,20 +916,14 @@ theorem coe_homOfLe (x : K) : (homOfLe h x : L) = x :=
 #align lie_subalgebra.coe_hom_of_le LieSubalgebra.coe_homOfLe
 
 /- warning: lie_subalgebra.hom_of_le_apply -> LieSubalgebra.homOfLe_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.hom_of_le_apply LieSubalgebra.homOfLe_applyₓ'. -/
 theorem homOfLe_apply (x : K) : homOfLe h x = ⟨x.1, h x.2⟩ :=
   rfl
 #align lie_subalgebra.hom_of_le_apply LieSubalgebra.homOfLe_apply
 
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 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.hom_of_le_injective LieSubalgebra.homOfLe_injectiveₓ'. -/
 theorem homOfLe_injective : Function.Injective (homOfLe h) := fun x y => by
   simp only [hom_of_le_apply, imp_self, Subtype.mk_eq_mk, SetLike.coe_eq_coe, Subtype.val_eq_coe]
@@ -987,10 +942,7 @@ def ofLe : LieSubalgebra R K' :=
 #align lie_subalgebra.of_le LieSubalgebra.ofLe
 
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 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.mem_of_le LieSubalgebra.mem_ofLeₓ'. -/
 @[simp]
 theorem mem_ofLe (x : K') : x ∈ ofLe h ↔ (x : L) ∈ K :=
@@ -1005,10 +957,7 @@ theorem mem_ofLe (x : K') : x ∈ ofLe h ↔ (x : L) ∈ K :=
 #align lie_subalgebra.mem_of_le LieSubalgebra.mem_ofLe
 
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 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.of_le_eq_comap_incl LieSubalgebra.ofLe_eq_comap_inclₓ'. -/
 theorem ofLe_eq_comap_incl : ofLe h = K.comap K'.incl :=
   by
@@ -1018,10 +967,7 @@ theorem ofLe_eq_comap_incl : ofLe h = K.comap K'.incl :=
 #align lie_subalgebra.of_le_eq_comap_incl LieSubalgebra.ofLe_eq_comap_incl
 
 /- warning: lie_subalgebra.coe_of_le -> LieSubalgebra.coe_ofLe is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_of_le LieSubalgebra.coe_ofLeₓ'. -/
 @[simp]
 theorem coe_ofLe : (ofLe h : Submodule R K') = (Submodule.ofLe h).range :=
@@ -1029,10 +975,7 @@ theorem coe_ofLe : (ofLe h : Submodule R K') = (Submodule.ofLe h).range :=
 #align lie_subalgebra.coe_of_le LieSubalgebra.coe_ofLe
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.equiv_of_le LieSubalgebra.equivOfLeₓ'. -/
 /-- Given nested Lie subalgebras `K ⊆ K'`, there is a natural equivalence from `K` to its image in
 `K'`.  -/
@@ -1041,10 +984,7 @@ noncomputable def equivOfLe : K ≃ₗ⁅R⁆ ofLe h :=
 #align lie_subalgebra.equiv_of_le LieSubalgebra.equivOfLe
 
 /- warning: lie_subalgebra.equiv_of_le_apply -> LieSubalgebra.equivOfLe_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.equiv_of_le_apply LieSubalgebra.equivOfLe_applyₓ'. -/
 @[simp]
 theorem equivOfLe_apply (x : K) : equivOfLe h x = ⟨homOfLe h x, (homOfLe h).mem_range_self x⟩ :=
@@ -1252,10 +1192,7 @@ noncomputable def ofInjective (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Inject
 #align lie_equiv.of_injective LieEquiv.ofInjective
 
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 Case conversion may be inaccurate. Consider using '#align lie_equiv.of_injective_apply LieEquiv.ofInjective_applyₓ'. -/
 @[simp]
 theorem ofInjective_apply (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Injective f) (x : L₁) :
@@ -1285,10 +1222,7 @@ def ofEq (h : (L₁' : Set L₁) = L₁'') : L₁' ≃ₗ⁅R⁆ L₁'' :=
 #align lie_equiv.of_eq LieEquiv.ofEq
 
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 Case conversion may be inaccurate. Consider using '#align lie_equiv.of_eq_apply LieEquiv.ofEq_applyₓ'. -/
 @[simp]
 theorem ofEq_apply (L L' : LieSubalgebra R L₁) (h : (L : Set L₁) = L') (x : L) :
@@ -1299,10 +1233,7 @@ theorem ofEq_apply (L L' : LieSubalgebra R L₁) (h : (L : Set L₁) = L') (x :
 variable (e : L₁ ≃ₗ⁅R⁆ L₂)
 
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 Case conversion may be inaccurate. Consider using '#align lie_equiv.lie_subalgebra_map LieEquiv.lieSubalgebraMapₓ'. -/
 /-- An equivalence of Lie algebras restricts to an equivalence from any Lie subalgebra onto its
 image. -/
@@ -1314,10 +1245,7 @@ def lieSubalgebraMap : L₁'' ≃ₗ⁅R⁆ (L₁''.map e : LieSubalgebra R L₂
 #align lie_equiv.lie_subalgebra_map LieEquiv.lieSubalgebraMap
 
 /- warning: lie_equiv.lie_subalgebra_map_apply -> LieEquiv.lieSubalgebraMap_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_equiv.lie_subalgebra_map_apply LieEquiv.lieSubalgebraMap_applyₓ'. -/
 @[simp]
 theorem lieSubalgebraMap_apply (x : L₁'') : ↑(e.lieSubalgebraMap _ x) = e x :=
@@ -1325,10 +1253,7 @@ theorem lieSubalgebraMap_apply (x : L₁'') : ↑(e.lieSubalgebraMap _ x) = e x
 #align lie_equiv.lie_subalgebra_map_apply LieEquiv.lieSubalgebraMap_apply
 
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 /-- An equivalence of Lie algebras restricts to an equivalence from any Lie subalgebra onto its
 image. -/
@@ -1344,10 +1269,7 @@ def ofSubalgebras (h : L₁'.map ↑e = L₂') : L₁' ≃ₗ⁅R⁆ L₂' :=
 #align lie_equiv.of_subalgebras LieEquiv.ofSubalgebras
 
 /- warning: lie_equiv.of_subalgebras_apply -> LieEquiv.ofSubalgebras_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_equiv.of_subalgebras_apply LieEquiv.ofSubalgebras_applyₓ'. -/
 @[simp]
 theorem ofSubalgebras_apply (h : L₁'.map ↑e = L₂') (x : L₁') : ↑(e.ofSubalgebras _ _ h x) = e x :=
@@ -1355,10 +1277,7 @@ theorem ofSubalgebras_apply (h : L₁'.map ↑e = L₂') (x : L₁') : ↑(e.ofS
 #align lie_equiv.of_subalgebras_apply LieEquiv.ofSubalgebras_apply
 
 /- warning: lie_equiv.of_subalgebras_symm_apply -> LieEquiv.ofSubalgebras_symm_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align lie_equiv.of_subalgebras_symm_apply LieEquiv.ofSubalgebras_symm_applyₓ'. -/
 @[simp]
 theorem ofSubalgebras_symm_apply (h : L₁'.map ↑e = L₂') (x : L₂') :
Diff
@@ -596,18 +596,14 @@ theorem mem_map (x : L₂) : x ∈ K.map f ↔ ∃ y : L, y ∈ K ∧ f y = x :=
   Submodule.mem_map
 #align lie_subalgebra.mem_map LieSubalgebra.mem_map
 
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+#print LieSubalgebra.mem_map_submodule /-
 -- TODO Rename and state for homs instead of equivs.
 @[simp]
 theorem mem_map_submodule (e : L ≃ₗ⁅R⁆ L₂) (x : L₂) :
     x ∈ K.map (e : L →ₗ⁅R⁆ L₂) ↔ x ∈ (K : Submodule R L).map (e : L →ₗ[R] L₂) :=
   Iff.rfl
 #align lie_subalgebra.mem_map_submodule LieSubalgebra.mem_map_submodule
+-/
 
 #print LieSubalgebra.comap /-
 /-- The preimage of a Lie subalgebra under a Lie algebra morphism is a Lie subalgebra of the
@@ -1025,7 +1021,7 @@ theorem ofLe_eq_comap_incl : ofLe h = K.comap K'.incl :=
 lean 3 declaration is
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_inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} 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(Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Submodule.ofLe.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') h))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} (h : LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K'), Eq.{succ u2} (Submodule.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) (LieRing.toAddCommGroup.{u2} (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (LieAlgebra.toModule.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (LieSubalgebra.toSubmodule.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.ofLe.{u1, u2} R L _inst_1 _inst_2 _inst_3 K K' h)) (LinearMap.range.{u1, u1, u2, u2, u2} R R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K))) (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (Submodule.addCommMonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)) (Submodule.addCommMonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (Submodule.module.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)) (Submodule.module.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (LinearMap.{u1, u1, u2, u2} 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)))) (Subtype.{succ u2} L (fun (x : L) => 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_inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (Submodule.addCommMonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)) (Submodule.addCommMonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (Submodule.module.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)) (Submodule.module.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u2} R R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K))) (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (Submodule.addCommMonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)) (Submodule.addCommMonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (Submodule.module.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)) (Submodule.module.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (RingHomSurjective.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Submodule.ofLe.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') h))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} (h : LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K'), Eq.{succ u2} (Submodule.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) (LieRing.toAddCommGroup.{u2} (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (LieAlgebra.toModule.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (LieSubalgebra.toSubmodule.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.ofLe.{u1, u2} R L _inst_1 _inst_2 _inst_3 K K' h)) (LinearMap.range.{u1, u1, u2, u2, u2} R R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K))) (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L 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(AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)) (Submodule.module.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (LinearMap.{u1, u1, u2, u2} 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)))) (Subtype.{succ u2} L (fun (x : L) => 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(Submodule.addCommMonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)) (Submodule.addCommMonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (Submodule.module.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)) (Submodule.module.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (RingHomSurjective.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Submodule.ofLe.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') h))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_of_le LieSubalgebra.coe_ofLeₓ'. -/
 @[simp]
 theorem coe_ofLe : (ofLe h : Submodule R K') = (Submodule.ofLe h).range :=
Diff
@@ -367,7 +367,7 @@ def LieModuleHom.restrictLie (f : M →ₗ⁅R,L⁆ N) (L' : LieSubalgebra R L)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) {M : Type.{u3}} [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] {N : Type.{u4}} [_inst_6 : AddCommGroup.{u4} N] [_inst_7 : LieRingModule.{u2, u4} L N _inst_2 _inst_6] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_6)] [_inst_9 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_6 _inst_8 _inst_7] [_inst_10 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_11 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_10 _inst_5] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_10 _inst_8 _inst_5 _inst_7 _inst_11 _inst_9), Eq.{max (succ u3) (succ u4)} (M -> N) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') M N _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_4 _inst_6 _inst_10 _inst_8 (LieSubalgebra.lieRingModule.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5) (LieSubalgebra.lieRingModule.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7) (LieSubalgebra.lieModule.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5 _inst_10 _inst_11) (LieSubalgebra.lieModule.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7 _inst_8 _inst_9)) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') M N _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_4 _inst_6 _inst_10 _inst_8 (LieSubalgebra.lieRingModule.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5) (LieSubalgebra.lieRingModule.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7) (LieSubalgebra.lieModule.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5 _inst_10 _inst_11) (LieSubalgebra.lieModule.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7 _inst_8 _inst_9)) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') M N _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_4 _inst_6 _inst_10 _inst_8 (LieSubalgebra.lieRingModule.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5) (LieSubalgebra.lieRingModule.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7) (LieSubalgebra.lieModule.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5 _inst_10 _inst_11) (LieSubalgebra.lieModule.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7 _inst_8 _inst_9)) (LieModuleHom.restrictLie.{u1, u2, u3, u4} R L _inst_1 _inst_2 _inst_3 M _inst_4 _inst_5 N _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 f L')) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_10 _inst_8 _inst_5 _inst_7 _inst_11 _inst_9) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_10 _inst_8 _inst_5 _inst_7 _inst_11 _inst_9) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_10 _inst_8 _inst_5 _inst_7 _inst_11 _inst_9) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) {M : Type.{u3}} [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] {N : Type.{u4}} [_inst_6 : AddCommGroup.{u4} N] [_inst_7 : LieRingModule.{u2, u4} L N _inst_2 _inst_6] [_inst_8 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_6)] [_inst_9 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] (_inst_10 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_6 _inst_9 _inst_8 _inst_5 _inst_7), 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 (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) M N _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_4 _inst_6 _inst_9 _inst_8 (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5) (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7)) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) M N _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_4 _inst_6 _inst_9 _inst_8 (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5) (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7)) (LieModuleHom.restrictLie.{u1, u2, u3, u4} R L _inst_1 _inst_2 _inst_3 M _inst_4 _inst_5 N _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 L')) (FunLike.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_6 _inst_9 _inst_8 _inst_5 _inst_7) 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_6 _inst_9 _inst_8 _inst_5 _inst_7) _inst_10)
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) {M : Type.{u3}} [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] {N : Type.{u4}} [_inst_6 : AddCommGroup.{u4} N] [_inst_7 : LieRingModule.{u2, u4} L N _inst_2 _inst_6] [_inst_8 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_6)] [_inst_9 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] (_inst_10 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_6 _inst_9 _inst_8 _inst_5 _inst_7), 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 (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) M N _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_4 _inst_6 _inst_9 _inst_8 (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5) (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7)) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10446 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) M N _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_4 _inst_6 _inst_9 _inst_8 (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5) (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7)) (LieModuleHom.restrictLie.{u1, u2, u3, u4} R L _inst_1 _inst_2 _inst_3 M _inst_4 _inst_5 N _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 L')) (FunLike.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_6 _inst_9 _inst_8 _inst_5 _inst_7) 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_6 _inst_9 _inst_8 _inst_5 _inst_7) _inst_10)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_restrict_lie LieModuleHom.coe_restrictLieₓ'. -/
 @[simp]
 theorem LieModuleHom.coe_restrictLie (f : M →ₗ⁅R,L⁆ N) : ⇑(f.restrictLie L') = f :=
@@ -395,7 +395,7 @@ def incl : L' →ₗ⁅R⁆ L :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Eq.{succ u2} ((coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') -> L) (coeFn.{succ u2, succ u2} (LieHom.{u1, u2, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') L _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_2 _inst_3) (fun (_x : LieHom.{u1, u2, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') L _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_2 _inst_3) => (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') -> L) (LieHom.hasCoeToFun.{u1, u2, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') L _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_2 _inst_3) (LieSubalgebra.incl.{u1, u2} R L _inst_1 _inst_2 _inst_3 L')) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') L (HasLiftT.mk.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') L (CoeTCₓ.coe.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') L (coeBase.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') L (coeSubtype.{succ u2} L (fun (x : L) => Membership.Mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L'))))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Eq.{succ u2} (forall (ᾰ : Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) => L) ᾰ) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) L _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_2 _inst_3) (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) (fun (_x : Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) => L) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) L _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_2 _inst_3) (LieSubalgebra.incl.{u1, u2} R L _inst_1 _inst_2 _inst_3 L')) (Subtype.val.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (SetLike.coe.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L')))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Eq.{succ u2} (forall (ᾰ : Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')), (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) => L) ᾰ) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) L _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_2 _inst_3) (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) (fun (_x : Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) => L) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) L _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_2 _inst_3) (LieSubalgebra.incl.{u1, u2} R L _inst_1 _inst_2 _inst_3 L')) (Subtype.val.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (SetLike.coe.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L')))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_incl LieSubalgebra.coe_inclₓ'. -/
 @[simp]
 theorem coe_incl : ⇑L'.incl = coe :=
@@ -447,7 +447,7 @@ def range : LieSubalgebra R L₂ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u3} (Set.{u3} L₂) ((fun (a : Type.{u3}) (b : Type.{u3}) [self : HasLiftT.{succ u3, succ u3} a b] => self.0) (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (Set.{u3} L₂) (HasLiftT.mk.{succ u3, succ u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (Set.{u3} L₂) (CoeTCₓ.coe.{succ u3, succ u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (Set.{u3} L₂) (SetLike.Set.hasCoeT.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.setLike.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)))) (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (Set.range.{u3, succ u2} L₂ L (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u3} (Set.{u3} L₂) (SetLike.coe.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (Set.range.{u3, succ u2} L₂ L (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L (fun (_x : L) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u3} (Set.{u3} L₂) (SetLike.coe.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (Set.range.{u3, succ u2} L₂ L (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L (fun (_x : L) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f))
 Case conversion may be inaccurate. Consider using '#align lie_hom.range_coe LieHom.range_coeₓ'. -/
 @[simp]
 theorem range_coe : (f.range : Set L₂) = Set.range f :=
@@ -458,7 +458,7 @@ theorem range_coe : (f.range : Set L₂) = Set.range f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₂), Iff (Membership.Mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.hasMem.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.setLike.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (Exists.{succ u2} L (fun (y : L) => Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y) x))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₂), Iff (Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (Exists.{succ u2} L (fun (y : L) => Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L) => L₂) y) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L (fun (_x : L) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y) x))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₂), Iff (Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (Exists.{succ u2} L (fun (y : L) => Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L) => L₂) y) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L (fun (_x : L) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y) x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.mem_range LieHom.mem_rangeₓ'. -/
 @[simp]
 theorem mem_range (x : L₂) : x ∈ f.range ↔ ∃ y : L, f y = x :=
@@ -469,7 +469,7 @@ theorem mem_range (x : L₂) : x ∈ f.range ↔ ∃ y : L, f y = x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L), Membership.Mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.hasMem.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.setLike.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L), Membership.mem.{u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L) => L₂) x) (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L (fun (_x : L) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L), Membership.mem.{u3, u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L) => L₂) x) (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L (fun (_x : L) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)
 Case conversion may be inaccurate. Consider using '#align lie_hom.mem_range_self LieHom.mem_range_selfₓ'. -/
 theorem mem_range_self (x : L) : f x ∈ f.range :=
   LinearMap.mem_range_self f x
@@ -493,7 +493,7 @@ def rangeRestrict : L →ₗ⁅R⁆ f.range :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L), Eq.{succ u3} (coeSort.{succ u3, succ (succ u3)} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) Type.{u3} (SetLike.hasCoeToSort.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.setLike.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L (coeSort.{succ u3, succ (succ u3)} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) Type.{u3} (SetLike.hasCoeToSort.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.setLike.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) _inst_1 _inst_2 _inst_3 (LieSubalgebra.lieRing.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (LieSubalgebra.lieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) (fun (_x : LieHom.{u1, u2, u3} R L (coeSort.{succ u3, succ (succ u3)} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) Type.{u3} (SetLike.hasCoeToSort.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.setLike.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) _inst_1 _inst_2 _inst_3 (LieSubalgebra.lieRing.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (LieSubalgebra.lieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) => L -> (coeSort.{succ u3, succ (succ u3)} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) Type.{u3} (SetLike.hasCoeToSort.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.setLike.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) (LieHom.hasCoeToFun.{u1, u2, u3} R L (coeSort.{succ u3, succ (succ u3)} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) Type.{u3} (SetLike.hasCoeToSort.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.setLike.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) _inst_1 _inst_2 _inst_3 (LieSubalgebra.lieRing.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (LieSubalgebra.lieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) (LieHom.rangeRestrict.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f) x) (Subtype.mk.{succ u3} L₂ (fun (x : L₂) => Membership.Mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.hasMem.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.setLike.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (LieHom.mem_range_self.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f x))
 but is expected to have type
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+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L) => Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) _inst_1 _inst_2 _inst_3 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) L (fun (_x : L) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L) => Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) _inst_1 _inst_2 _inst_3 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) (LieHom.rangeRestrict.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f) x) (Subtype.mk.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L (fun (_x : L) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (LieHom.mem_range_self.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.range_restrict_apply LieHom.rangeRestrict_applyₓ'. -/
 @[simp]
 theorem rangeRestrict_apply (x : L) : f.range_restrict x = ⟨f x, f.mem_range_self x⟩ :=
@@ -504,7 +504,7 @@ theorem rangeRestrict_apply (x : L) : f.range_restrict x = ⟨f x, f.mem_range_s
 lean 3 declaration is
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 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Function.Surjective.{succ u2, succ u3} L (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) _inst_1 _inst_2 _inst_3 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) L (fun (_x : L) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L) => Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) _inst_1 _inst_2 _inst_3 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) (LieHom.rangeRestrict.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Function.Surjective.{succ u2, succ u3} L (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) _inst_1 _inst_2 _inst_3 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) L (fun (_x : L) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L) => Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) _inst_1 _inst_2 _inst_3 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) (LieHom.rangeRestrict.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))
 Case conversion may be inaccurate. Consider using '#align lie_hom.surjective_range_restrict LieHom.surjective_rangeRestrictₓ'. -/
 theorem surjective_rangeRestrict : Function.Surjective f.range_restrict :=
   by
@@ -518,7 +518,7 @@ theorem surjective_rangeRestrict : Function.Surjective f.range_restrict :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), (Function.Injective.{succ u2, succ u3} L L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (LieEquiv.{u1, u2, u3} R L (coeSort.{succ u3, succ (succ u3)} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) Type.{u3} (SetLike.hasCoeToSort.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.setLike.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) _inst_1 _inst_2 _inst_3 (LieSubalgebra.lieRing.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (LieSubalgebra.lieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), (Function.Injective.{succ u2, succ u3} L L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L (fun (_x : L) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (LieEquiv.{u1, u2, u3} R L (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) _inst_1 _inst_2 _inst_3 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), (Function.Injective.{succ u2, succ u3} L L₂ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L (fun (_x : L) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (LieEquiv.{u1, u2, u3} R L (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) _inst_1 _inst_2 _inst_3 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)))
 Case conversion may be inaccurate. Consider using '#align lie_hom.equiv_range_of_injective LieHom.equivRangeOfInjectiveₓ'. -/
 /-- A Lie algebra is equivalent to its range under an injective Lie algebra morphism. -/
 noncomputable def equivRangeOfInjective (h : Function.Injective f) : L ≃ₗ⁅R⁆ f.range :=
@@ -532,7 +532,7 @@ noncomputable def equivRangeOfInjective (h : Function.Injective f) : L ≃ₗ⁅
 lean 3 declaration is
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u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) L (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) (LieEquiv.instEquivLikeLieEquiv.{u1, u2, u3} R L (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))) _inst_1 _inst_2 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) _inst_3 (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5 (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f))))) (LieHom.equivRangeOfInjective.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f h) x) (Subtype.mk.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieHom.range.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L (fun (_x : L) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (LieHom.mem_range_self.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f x))
 Case conversion may be inaccurate. Consider using '#align lie_hom.equiv_range_of_injective_apply LieHom.equivRangeOfInjective_applyₓ'. -/
 @[simp]
 theorem equivRangeOfInjective_apply (h : Function.Injective f) (x : L) :
@@ -589,7 +589,7 @@ def map : LieSubalgebra R L₂ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (x : L₂), Iff (Membership.Mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.hasMem.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.setLike.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieSubalgebra.map.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f K)) (Exists.{succ u2} L (fun (y : L) => And (Membership.Mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) y K) (Eq.{succ u3} L₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => L -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (x : L₂), Iff (Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieSubalgebra.map.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f K)) (Exists.{succ u2} L (fun (y : L) => And (Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) y K) (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L) => L₂) y) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L (fun (_x : L) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : L) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y) x)))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (x : L₂), Iff (Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieSubalgebra.map.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f K)) (Exists.{succ u2} L (fun (y : L) => And (Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) y K) (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L) => L₂) y) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) L (fun (_x : L) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L) => L₂) _x) (LieHom.instFunLikeLieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y) x)))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.mem_map LieSubalgebra.mem_mapₓ'. -/
 @[simp]
 theorem mem_map (x : L₂) : x ∈ K.map f ↔ ∃ y : L, y ∈ K ∧ f y = x :=
@@ -917,7 +917,7 @@ variable (R L)
 lean 3 declaration is
   forall (R : Type.{u1}) (L : Type.{u2}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_6 : IsNoetherian.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)], WellFounded.{succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (GT.gt.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toHasLt.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))))
 but is expected to have type
-  forall (R : Type.{u1}) (L : Type.{u2}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_6 : IsNoetherian.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)], WellFounded.{succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (fun (x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6169 : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6171 : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) => GT.gt.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6169 x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6171)
+  forall (R : Type.{u1}) (L : Type.{u2}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_6 : IsNoetherian.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)], WellFounded.{succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (fun (x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6166 : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6168 : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) => GT.gt.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6166 x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6168)
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.well_founded_of_noetherian LieSubalgebra.wellFounded_of_noetherianₓ'. -/
 theorem wellFounded_of_noetherian [IsNoetherian R L] :
     WellFounded ((· > ·) : LieSubalgebra R L → LieSubalgebra R L → Prop) :=
@@ -951,7 +951,7 @@ def homOfLe : K →ₗ⁅R⁆ K' :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} (h : LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toHasLe.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K') (x : coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K), Eq.{succ u2} L ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') L (HasLiftT.mk.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') L (CoeTCₓ.coe.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') L (coeBase.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L 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 but is expected to have type
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+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} (h : LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K') (x : Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K)), Eq.{succ u2} L (Subtype.val.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) 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 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_hom_of_le LieSubalgebra.coe_homOfLeₓ'. -/
 @[simp]
 theorem coe_homOfLe (x : K) : (homOfLe h x : L) = x :=
@@ -962,7 +962,7 @@ theorem coe_homOfLe (x : K) : (homOfLe h x : L) = x :=
 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}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} (h : LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K') (x : Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K)), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L 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 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.hom_of_le_apply LieSubalgebra.homOfLe_applyₓ'. -/
 theorem homOfLe_apply (x : K) : homOfLe h x = ⟨x.1, h x.2⟩ :=
   rfl
@@ -972,7 +972,7 @@ theorem homOfLe_apply (x : K) : homOfLe h x = ⟨x.1, h x.2⟩ :=
 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_subalgebra.hom_of_le_injective LieSubalgebra.homOfLe_injectiveₓ'. -/
 theorem homOfLe_injective : Function.Injective (homOfLe h) := fun x y => by
   simp only [hom_of_le_apply, imp_self, Subtype.mk_eq_mk, SetLike.coe_eq_coe, Subtype.val_eq_coe]
@@ -1048,7 +1048,7 @@ noncomputable def equivOfLe : K ≃ₗ⁅R⁆ ofLe h :=
 lean 3 declaration is
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L _inst_1 _inst_2 _inst_3)) x K')) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K)) (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (LieSubalgebra.homOfLe.{u1, u2} R L _inst_1 _inst_2 _inst_3 K K' h) x) (LieHom.mem_range_self.{u1, u2, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K)) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.homOfLe.{u1, u2} R L _inst_1 _inst_2 _inst_3 K K' h) x))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.equiv_of_le_apply LieSubalgebra.equivOfLe_applyₓ'. -/
 @[simp]
 theorem equivOfLe_apply (x : K) : equivOfLe h x = ⟨homOfLe h x, (homOfLe h).mem_range_self x⟩ :=
@@ -1245,7 +1245,7 @@ variable [CommRing R] [LieRing L₁] [LieRing L₂] [LieAlgebra R L₁] [LieAlge
 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_4 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_4 _inst_3 _inst_5), (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_4 _inst_3 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_4 _inst_3 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_4 _inst_3 _inst_5) f)) -> (LieEquiv.{u1, u2, u3} R L₁ (coeSort.{succ u3, succ (succ u3)} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) Type.{u3} (SetLike.hasCoeToSort.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) L₂ (LieSubalgebra.setLike.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5)) (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 f)) _inst_1 _inst_2 _inst_4 (LieSubalgebra.lieRing.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5 (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 f)) (LieSubalgebra.lieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5 (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _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 : LieRing.{u3} L₂] [_inst_4 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_4 _inst_3 _inst_5), (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_4 _inst_3 _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_4 _inst_3 _inst_5) f)) -> (LieEquiv.{u1, u2, u3} R L₁ (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5)) x (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 f))) _inst_1 _inst_2 _inst_4 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5 (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 f)) (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5 (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _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 : LieRing.{u3} L₂] [_inst_4 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_4 _inst_3 _inst_5), (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_4 _inst_3 _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_4 _inst_3 _inst_5) f)) -> (LieEquiv.{u1, u2, u3} R L₁ (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5)) x (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 f))) _inst_1 _inst_2 _inst_4 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5 (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 f)) (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5 (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 f)))
 Case conversion may be inaccurate. Consider using '#align lie_equiv.of_injective LieEquiv.ofInjectiveₓ'. -/
 /-- An injective Lie algebra morphism is an equivalence onto its range. -/
 noncomputable def ofInjective (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Injective f) : L₁ ≃ₗ⁅R⁆ f.range :=
@@ -1259,7 +1259,7 @@ noncomputable def ofInjective (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Inject
 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_4 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_4 _inst_3 _inst_5) (h : 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_4 _inst_3 _inst_5) (fun (_x : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_4 _inst_3 _inst_5) => L₁ -> L₂) (LieHom.hasCoeToFun.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_4 _inst_3 _inst_5) f)) (x : L₁), Eq.{succ u3} L₂ ((fun (a : Type.{u3}) (b : Type.{u3}) [self : HasLiftT.{succ u3, succ u3} a b] => self.0) (coeSort.{succ u3, succ (succ u3)} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) Type.{u3} (SetLike.hasCoeToSort.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) L₂ 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 but is expected to have type
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_inst_5 (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 f))) L₁ (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5)) x (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 f))) (LieEquiv.instEquivLikeLieEquiv.{u1, u2, u3} R L₁ (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5)) x (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 f))) _inst_1 _inst_2 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5 (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 f)) _inst_4 (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5 (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 f))))) (LieEquiv.ofInjective.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f h) x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_4 _inst_3 _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_4 _inst_3 _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 : LieRing.{u3} L₂] [_inst_4 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (f : LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_4 _inst_3 _inst_5) (h : 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_4 _inst_3 _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_4 _inst_3 _inst_5) f)) (x : L₁), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3919 : L₁) => L₂) x) (Subtype.val.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (Set.{u3} L₂) (Set.instMembershipSet.{u3} L₂) x (SetLike.coe.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) L₂ 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_inst_5 (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 f))) L₁ (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5)) x (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 f))) (LieEquiv.instEquivLikeLieEquiv.{u1, u2, u3} R L₁ (Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5)) x (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 f))) _inst_1 _inst_2 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5 (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 f)) _inst_4 (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5 (LieHom.range.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 f))))) (LieEquiv.ofInjective.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f h) x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_4 _inst_3 _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_4 _inst_3 _inst_5) f x)
 Case conversion may be inaccurate. Consider using '#align lie_equiv.of_injective_apply LieEquiv.ofInjective_applyₓ'. -/
 @[simp]
 theorem ofInjective_apply (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Injective f) (x : L₁) :
Diff
@@ -633,7 +633,7 @@ instance : PartialOrder (LieSubalgebra R L) :=
 
 /- warning: lie_subalgebra.le_def -> LieSubalgebra.le_def is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Iff (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K') (HasSubset.Subset.{u2} (Set.{u2} L) (Set.hasSubset.{u2} L) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (SetLike.Set.hasCoeT.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (SetLike.Set.hasCoeT.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K'))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Iff (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toHasLe.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K') (HasSubset.Subset.{u2} (Set.{u2} L) (Set.hasSubset.{u2} L) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (SetLike.Set.hasCoeT.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (SetLike.Set.hasCoeT.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K'))
 but is expected to have type
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Iff (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K') (HasSubset.Subset.{u2} (Set.{u2} L) (Set.instHasSubsetSet.{u2} L) (SetLike.coe.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) K) (SetLike.coe.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) K'))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.le_def LieSubalgebra.le_defₓ'. -/
@@ -643,7 +643,7 @@ theorem le_def : K ≤ K' ↔ (K : Set L) ⊆ K' :=
 
 /- warning: lie_subalgebra.coe_submodule_le_coe_submodule -> LieSubalgebra.coe_submodule_le_coe_submodule is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Iff (LE.le.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Preorder.toLE.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.completeLattice.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K')) (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K')
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Iff (LE.le.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Preorder.toHasLe.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.completeLattice.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K')) (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toHasLe.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K')
 but is expected to have type
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Iff (LE.le.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Preorder.toLE.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.completeLattice.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))))) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K')
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_submodule_le_coe_submodule LieSubalgebra.coe_submodule_le_coe_submoduleₓ'. -/
@@ -915,7 +915,7 @@ variable (R L)
 
 /- warning: lie_subalgebra.well_founded_of_noetherian -> LieSubalgebra.wellFounded_of_noetherian is a dubious translation:
 lean 3 declaration is
-  forall (R : Type.{u1}) (L : Type.{u2}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_6 : IsNoetherian.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)], WellFounded.{succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (GT.gt.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))))
+  forall (R : Type.{u1}) (L : Type.{u2}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_6 : IsNoetherian.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)], WellFounded.{succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (GT.gt.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toHasLt.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))))
 but is expected to have type
   forall (R : Type.{u1}) (L : Type.{u2}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_6 : IsNoetherian.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)], WellFounded.{succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (fun (x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6169 : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6171 : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) => GT.gt.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6169 x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6171)
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.well_founded_of_noetherian LieSubalgebra.wellFounded_of_noetherianₓ'. -/
@@ -937,7 +937,7 @@ variable (h : K ≤ K')
 
 /- warning: lie_subalgebra.hom_of_le -> LieSubalgebra.homOfLe is a dubious translation:
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.hom_of_le LieSubalgebra.homOfLeₓ'. -/
@@ -949,7 +949,7 @@ def homOfLe : K →ₗ⁅R⁆ K' :=
 
 /- warning: lie_subalgebra.coe_hom_of_le -> LieSubalgebra.coe_homOfLe 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_subalgebra.coe_hom_of_le LieSubalgebra.coe_homOfLeₓ'. -/
@@ -960,7 +960,7 @@ theorem coe_homOfLe (x : K) : (homOfLe h x : L) = x :=
 
 /- warning: lie_subalgebra.hom_of_le_apply -> LieSubalgebra.homOfLe_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_subalgebra.hom_of_le_apply LieSubalgebra.homOfLe_applyₓ'. -/
@@ -970,7 +970,7 @@ theorem homOfLe_apply (x : K) : homOfLe h x = ⟨x.1, h x.2⟩ :=
 
 /- warning: lie_subalgebra.hom_of_le_injective -> LieSubalgebra.homOfLe_injective is a dubious translation:
 lean 3 declaration is
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+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} (h : LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toHasLe.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K'), Function.Injective.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K) (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') (coeFn.{succ u2, succ u2} (LieHom.{u1, u2, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K) (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (fun (_x : LieHom.{u1, u2, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K) (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) => (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K) -> (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K')) (LieHom.hasCoeToFun.{u1, u2, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K) (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (LieSubalgebra.homOfLe.{u1, u2} R L _inst_1 _inst_2 _inst_3 K K' h))
 but is expected to have type
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} (h : LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K'), Function.Injective.{succ u2, succ u2} (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K)) (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) (FunLike.coe.{succ u2, succ u2, succ u2} (LieHom.{u1, u2, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K)) (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K)) (fun (_x : Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K)) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.3921 : Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K)) => Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _x) (LieHom.instFunLikeLieHom.{u1, u2, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K)) (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (LieSubalgebra.homOfLe.{u1, u2} R L _inst_1 _inst_2 _inst_3 K K' h))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.hom_of_le_injective LieSubalgebra.homOfLe_injectiveₓ'. -/
@@ -980,7 +980,7 @@ theorem homOfLe_injective : Function.Injective (homOfLe h) := fun x y => by
 
 /- warning: lie_subalgebra.of_le -> LieSubalgebra.ofLe is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3}, (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K') -> (LieSubalgebra.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3}, (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toHasLe.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K') -> (LieSubalgebra.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))
 but is expected to have type
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3}, (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K') -> (LieSubalgebra.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.of_le LieSubalgebra.ofLeₓ'. -/
@@ -992,7 +992,7 @@ def ofLe : LieSubalgebra R K' :=
 
 /- warning: lie_subalgebra.mem_of_le -> LieSubalgebra.mem_ofLe is a dubious translation:
 lean 3 declaration is
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+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} (h : LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toHasLe.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K') (x : coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K'), Iff (Membership.Mem.{u2, u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') (LieSubalgebra.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (SetLike.hasMem.{u2, u2} (LieSubalgebra.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') (LieSubalgebra.setLike.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) x (LieSubalgebra.ofLe.{u1, u2} R L _inst_1 _inst_2 _inst_3 K K' h)) (Membership.Mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') L (HasLiftT.mk.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') L (CoeTCₓ.coe.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') L (coeBase.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') L (coeSubtype.{succ u2} L (fun (x : L) => Membership.Mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K'))))) x) K)
 but is expected to have type
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} (h : LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K') (x : Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')), Iff (Membership.mem.{u2, u2} (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) (LieSubalgebra.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) x (LieSubalgebra.ofLe.{u1, u2} R L _inst_1 _inst_2 _inst_3 K K' h)) (Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Subtype.val.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (SetLike.coe.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) K')) x) K)
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.mem_of_le LieSubalgebra.mem_ofLeₓ'. -/
@@ -1010,7 +1010,7 @@ theorem mem_ofLe (x : K') : x ∈ ofLe h ↔ (x : L) ∈ K :=
 
 /- warning: lie_subalgebra.of_le_eq_comap_incl -> LieSubalgebra.ofLe_eq_comap_incl is a dubious translation:
 lean 3 declaration is
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+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} (h : LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toHasLe.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K'), Eq.{succ u2} (LieSubalgebra.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (LieSubalgebra.ofLe.{u1, u2} R L _inst_1 _inst_2 _inst_3 K K' h) (LieSubalgebra.comap.{u1, u2, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') L _inst_2 _inst_3 (LieSubalgebra.incl.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') K)
 but is expected to have type
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} (h : LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K'), Eq.{succ u2} (LieSubalgebra.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (LieSubalgebra.ofLe.{u1, u2} R L _inst_1 _inst_2 _inst_3 K K' h) (LieSubalgebra.comap.{u1, u2, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') L _inst_2 _inst_3 (LieSubalgebra.incl.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') K)
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.of_le_eq_comap_incl LieSubalgebra.ofLe_eq_comap_inclₓ'. -/
@@ -1023,7 +1023,7 @@ theorem ofLe_eq_comap_incl : ofLe h = K.comap K'.incl :=
 
 /- warning: lie_subalgebra.coe_of_le -> LieSubalgebra.coe_ofLe is a dubious translation:
 lean 3 declaration is
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(Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Submodule.ofLe.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') h))
 but is expected to have type
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} (h : LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K'), Eq.{succ u2} (Submodule.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) 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_inst_3 K'))) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u2} R R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K))) (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) 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 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_of_le LieSubalgebra.coe_ofLeₓ'. -/
@@ -1034,7 +1034,7 @@ theorem coe_ofLe : (ofLe h : Submodule R K') = (Submodule.ofLe h).range :=
 
 /- warning: lie_subalgebra.equiv_of_le -> LieSubalgebra.equivOfLe 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_subalgebra.equiv_of_le LieSubalgebra.equivOfLeₓ'. -/
@@ -1046,7 +1046,7 @@ noncomputable def equivOfLe : K ≃ₗ⁅R⁆ ofLe h :=
 
 /- warning: lie_subalgebra.equiv_of_le_apply -> LieSubalgebra.equivOfLe_apply is a dubious translation:
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.equiv_of_le_apply LieSubalgebra.equivOfLe_applyₓ'. -/
@@ -1059,7 +1059,7 @@ end NestedSubalgebras
 
 /- warning: lie_subalgebra.map_le_iff_le_comap -> LieSubalgebra.map_le_iff_le_comap is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5}, Iff (LE.le.{u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (Preorder.toLE.{u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (PartialOrder.toPreorder.{u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieSubalgebra.partialOrder.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5))) (LieSubalgebra.map.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f K) K') (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K (LieSubalgebra.comap.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f K'))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5}, Iff (LE.le.{u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (Preorder.toHasLe.{u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (PartialOrder.toPreorder.{u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieSubalgebra.partialOrder.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5))) (LieSubalgebra.map.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f K) K') (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toHasLe.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K (LieSubalgebra.comap.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f K'))
 but is expected to have type
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5}, Iff (LE.le.{u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (Preorder.toLE.{u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (PartialOrder.toPreorder.{u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5))) (LieSubalgebra.map.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f K) K') (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K (LieSubalgebra.comap.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f K'))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.map_le_iff_le_comap LieSubalgebra.map_le_iff_le_comapₓ'. -/
@@ -1111,17 +1111,21 @@ theorem subset_lieSpan : s ⊆ lieSpan R L s :=
 #align lie_subalgebra.subset_lie_span LieSubalgebra.subset_lieSpan
 -/
 
-#print LieSubalgebra.submodule_span_le_lieSpan /-
+/- warning: lie_subalgebra.submodule_span_le_lie_span -> LieSubalgebra.submodule_span_le_lieSpan is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {s : Set.{u2} L}, LE.le.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Preorder.toHasLe.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.completeLattice.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))))) (Submodule.span.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) s) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 s))
+but is expected to have type
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {s : Set.{u2} L}, LE.le.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Preorder.toLE.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.completeLattice.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))))) (Submodule.span.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) s) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 s))
+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.submodule_span_le_lie_span LieSubalgebra.submodule_span_le_lieSpanₓ'. -/
 theorem submodule_span_le_lieSpan : Submodule.span R s ≤ lieSpan R L s :=
   by
   rw [Submodule.span_le]
   apply subset_lie_span
 #align lie_subalgebra.submodule_span_le_lie_span LieSubalgebra.submodule_span_le_lieSpan
--/
 
 /- warning: lie_subalgebra.lie_span_le -> LieSubalgebra.lieSpan_le is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {s : Set.{u2} L} {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3}, Iff (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 s) K) (HasSubset.Subset.{u2} (Set.{u2} L) (Set.hasSubset.{u2} L) s ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (SetLike.Set.hasCoeT.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {s : Set.{u2} L} {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3}, Iff (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toHasLe.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 s) K) (HasSubset.Subset.{u2} (Set.{u2} L) (Set.hasSubset.{u2} L) s ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (SetLike.Set.hasCoeT.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K))
 but is expected to have type
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {s : Set.{u2} L} {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3}, Iff (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 s) K) (HasSubset.Subset.{u2} (Set.{u2} L) (Set.instHasSubsetSet.{u2} L) s (SetLike.coe.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) K))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.lie_span_le LieSubalgebra.lieSpan_leₓ'. -/
@@ -1136,7 +1140,7 @@ theorem lieSpan_le {K} : lieSpan R L s ≤ K ↔ s ⊆ K :=
 
 /- warning: lie_subalgebra.lie_span_mono -> LieSubalgebra.lieSpan_mono is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {s : Set.{u2} L} {t : Set.{u2} L}, (HasSubset.Subset.{u2} (Set.{u2} L) (Set.hasSubset.{u2} L) s t) -> (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 s) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 t))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {s : Set.{u2} L} {t : Set.{u2} L}, (HasSubset.Subset.{u2} (Set.{u2} L) (Set.hasSubset.{u2} L) s t) -> (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toHasLe.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 s) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 t))
 but is expected to have type
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {s : Set.{u2} L} {t : Set.{u2} L}, (HasSubset.Subset.{u2} (Set.{u2} L) (Set.instHasSubsetSet.{u2} L) s t) -> (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 s) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 t))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.lie_span_mono LieSubalgebra.lieSpan_monoₓ'. -/
Diff
@@ -745,11 +745,11 @@ instance : Inf (LieSubalgebra R L) :=
 instance : InfSet (LieSubalgebra R L) :=
   ⟨fun S =>
     {
-      infₛ
+      sInf
         "./././Mathport/Syntax/Translate/Expr.lean:366:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S}" with
       lie_mem' := fun x y hx hy =>
         by
-        simp only [Submodule.mem_carrier, mem_Inter, Submodule.infₛ_coe, mem_set_of_eq,
+        simp only [Submodule.mem_carrier, mem_Inter, Submodule.sInf_coe, mem_set_of_eq,
           forall_apply_eq_imp_iff₂, exists_imp] at *
         intro K hK
         exact K.lie_mem (hx K hK) (hy K hK) }⟩
@@ -765,37 +765,37 @@ theorem inf_coe : (↑(K ⊓ K') : Set L) = K ∩ K' :=
   rfl
 #align lie_subalgebra.inf_coe LieSubalgebra.inf_coe
 
-/- warning: lie_subalgebra.Inf_coe_to_submodule -> LieSubalgebra.infₛ_coe_to_submodule is a dubious translation:
+/- warning: lie_subalgebra.Inf_coe_to_submodule -> LieSubalgebra.sInf_coe_to_submodule is a dubious translation:
 lean 3 declaration is
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_inst_1 _inst_2 _inst_3)))) s) _x)))))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (S : Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)), Eq.{succ u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) 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(LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) s) _x)))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (S : Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)), Eq.{succ u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 (InfSet.infₛ.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instInfSetLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) S)) (InfSet.infₛ.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.instInfSetSubmodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (setOf.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (fun (_x : Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) => Exists.{succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (fun (s : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) => And (Membership.mem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Set.instMembershipSet.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) s S) (Eq.{succ u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 s) _x)))))
-Case conversion may be inaccurate. Consider using '#align lie_subalgebra.Inf_coe_to_submodule LieSubalgebra.infₛ_coe_to_submoduleₓ'. -/
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (S : Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)), Eq.{succ u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 (InfSet.sInf.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instInfSetLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) S)) (InfSet.sInf.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.instInfSetSubmodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (setOf.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (fun (_x : Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) => Exists.{succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (fun (s : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) => And (Membership.mem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Set.instMembershipSet.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) s S) (Eq.{succ u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 s) _x)))))
+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.Inf_coe_to_submodule LieSubalgebra.sInf_coe_to_submoduleₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:366:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S} -/
 @[simp]
-theorem infₛ_coe_to_submodule (S : Set (LieSubalgebra R L)) :
-    (↑(infₛ S) : Submodule R L) =
-      infₛ
+theorem sInf_coe_to_submodule (S : Set (LieSubalgebra R L)) :
+    (↑(sInf S) : Submodule R L) =
+      sInf
         "./././Mathport/Syntax/Translate/Expr.lean:366:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S}" :=
   rfl
-#align lie_subalgebra.Inf_coe_to_submodule LieSubalgebra.infₛ_coe_to_submodule
+#align lie_subalgebra.Inf_coe_to_submodule LieSubalgebra.sInf_coe_to_submodule
 
-/- warning: lie_subalgebra.Inf_coe -> LieSubalgebra.infₛ_coe is a dubious translation:
+/- warning: lie_subalgebra.Inf_coe -> LieSubalgebra.sInf_coe is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (S : Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)), Eq.{succ u2} (Set.{u2} L) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (SetLike.Set.hasCoeT.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) (InfSet.infₛ.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.hasInf.{u1, u2} R L _inst_1 _inst_2 _inst_3) S)) (Set.interᵢ.{u2, succ u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (fun (s : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) => Set.interᵢ.{u2, 0} L (Membership.Mem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Set.hasMem.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) s S) (fun (H : Membership.Mem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Set.hasMem.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) s S) => (fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (SetLike.Set.hasCoeT.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) s)))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (S : Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)), Eq.{succ u2} (Set.{u2} L) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (SetLike.Set.hasCoeT.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) (InfSet.sInf.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.hasInf.{u1, u2} R L _inst_1 _inst_2 _inst_3) S)) (Set.iInter.{u2, succ u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (fun (s : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) => Set.iInter.{u2, 0} L (Membership.Mem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Set.hasMem.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) s S) (fun (H : Membership.Mem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Set.hasMem.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) s S) => (fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (SetLike.Set.hasCoeT.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) s)))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (S : Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)), Eq.{succ u2} (Set.{u2} L) (SetLike.coe.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (InfSet.infₛ.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instInfSetLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) S)) (Set.interᵢ.{u2, succ u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (fun (s : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) => Set.interᵢ.{u2, 0} L (Membership.mem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Set.instMembershipSet.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) s S) (fun (H : Membership.mem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Set.instMembershipSet.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) s S) => SetLike.coe.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) s)))
-Case conversion may be inaccurate. Consider using '#align lie_subalgebra.Inf_coe LieSubalgebra.infₛ_coeₓ'. -/
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (S : Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)), Eq.{succ u2} (Set.{u2} L) (SetLike.coe.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (InfSet.sInf.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instInfSetLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) S)) (Set.iInter.{u2, succ u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (fun (s : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) => Set.iInter.{u2, 0} L (Membership.mem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Set.instMembershipSet.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) s S) (fun (H : Membership.mem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Set.instMembershipSet.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) s S) => SetLike.coe.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) s)))
+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.Inf_coe LieSubalgebra.sInf_coeₓ'. -/
 @[simp]
-theorem infₛ_coe (S : Set (LieSubalgebra R L)) : (↑(infₛ S) : Set L) = ⋂ s ∈ S, (s : Set L) :=
+theorem sInf_coe (S : Set (LieSubalgebra R L)) : (↑(sInf S) : Set L) = ⋂ s ∈ S, (s : Set L) :=
   by
-  rw [← coe_to_submodule, Inf_coe_to_submodule, Submodule.infₛ_coe]
+  rw [← coe_to_submodule, Inf_coe_to_submodule, Submodule.sInf_coe]
   ext x
   simpa only [mem_Inter, mem_set_of_eq, forall_apply_eq_imp_iff₂, exists_imp]
-#align lie_subalgebra.Inf_coe LieSubalgebra.infₛ_coe
+#align lie_subalgebra.Inf_coe LieSubalgebra.sInf_coe
 
-#print LieSubalgebra.infₛ_glb /-
-theorem infₛ_glb (S : Set (LieSubalgebra R L)) : IsGLB S (infₛ S) :=
+#print LieSubalgebra.sInf_glb /-
+theorem sInf_glb (S : Set (LieSubalgebra R L)) : IsGLB S (sInf S) :=
   by
   have h : ∀ K K' : LieSubalgebra R L, (K : Set L) ≤ K' ↔ K ≤ K' :=
     by
@@ -803,8 +803,8 @@ theorem infₛ_glb (S : Set (LieSubalgebra R L)) : IsGLB S (infₛ S) :=
     exact Iff.rfl
   apply IsGLB.of_image h
   simp only [Inf_coe]
-  exact isGLB_binfᵢ
-#align lie_subalgebra.Inf_glb LieSubalgebra.infₛ_glb
+  exact isGLB_biInf
+#align lie_subalgebra.Inf_glb LieSubalgebra.sInf_glb
 -/
 
 /-- The set of Lie subalgebras of a Lie algebra form a complete lattice.
@@ -812,7 +812,7 @@ theorem infₛ_glb (S : Set (LieSubalgebra R L)) : IsGLB S (infₛ S) :=
 We provide explicit values for the fields `bot`, `top`, `inf` to get more convenient definitions
 than we would otherwise obtain from `complete_lattice_of_Inf`. -/
 instance : CompleteLattice (LieSubalgebra R L) :=
-  { completeLatticeOfInf _ infₛ_glb with
+  { completeLatticeOfInf _ sInf_glb with
     bot := ⊥
     bot_le := fun N _ h => by
       rw [mem_bot] at h
@@ -1086,7 +1086,7 @@ variable (R L) (s : Set L)
 #print LieSubalgebra.lieSpan /-
 /-- The Lie subalgebra of a Lie algebra `L` generated by a subset `s ⊆ L`. -/
 def lieSpan : LieSubalgebra R L :=
-  infₛ { N | s ⊆ N }
+  sInf { N | s ⊆ N }
 #align lie_subalgebra.lie_span LieSubalgebra.lieSpan
 -/
 
@@ -1097,7 +1097,7 @@ theorem mem_lieSpan {x : L} : x ∈ lieSpan R L s ↔ ∀ K : LieSubalgebra R L,
   by
   change x ∈ (lie_span R L s : Set L) ↔ _
   erw [Inf_coe]
-  exact Set.mem_interᵢ₂
+  exact Set.mem_iInter₂
 #align lie_subalgebra.mem_lie_span LieSubalgebra.mem_lieSpan
 -/
 
@@ -1215,15 +1215,15 @@ theorem span_union (s t : Set L) : lieSpan R L (s ∪ t) = lieSpan R L s ⊔ lie
   (LieSubalgebra.gi R L).gc.l_sup
 #align lie_subalgebra.span_union LieSubalgebra.span_union
 
-/- warning: lie_subalgebra.span_Union -> LieSubalgebra.span_unionᵢ is a dubious translation:
+/- warning: lie_subalgebra.span_Union -> LieSubalgebra.span_iUnion is a dubious translation:
 lean 3 declaration is
-  forall (R : Type.{u1}) {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {ι : Sort.{u3}} (s : ι -> (Set.{u2} L)), Eq.{succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Set.unionᵢ.{u2, u3} L ι (fun (i : ι) => s i))) (supᵢ.{u2, u3} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (ConditionallyCompleteLattice.toHasSup.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (CompleteLattice.toConditionallyCompleteLattice.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.completeLattice.{u1, u2} R L _inst_1 _inst_2 _inst_3))) ι (fun (i : ι) => LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 (s i)))
+  forall (R : Type.{u1}) {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {ι : Sort.{u3}} (s : ι -> (Set.{u2} L)), Eq.{succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Set.iUnion.{u2, u3} L ι (fun (i : ι) => s i))) (iSup.{u2, u3} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (ConditionallyCompleteLattice.toHasSup.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (CompleteLattice.toConditionallyCompleteLattice.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.completeLattice.{u1, u2} R L _inst_1 _inst_2 _inst_3))) ι (fun (i : ι) => LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 (s i)))
 but is expected to have type
-  forall (R : Type.{u2}) {L : Type.{u3}} [_inst_1 : CommRing.{u2} R] [_inst_2 : LieRing.{u3} L] [_inst_3 : LieAlgebra.{u2, u3} R L _inst_1 _inst_2] {ι : Sort.{u1}} (s : ι -> (Set.{u3} L)), Eq.{succ u3} (LieSubalgebra.{u2, u3} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.lieSpan.{u2, u3} R L _inst_1 _inst_2 _inst_3 (Set.unionᵢ.{u3, u1} L ι (fun (i : ι) => s i))) (supᵢ.{u3, u1} (LieSubalgebra.{u2, u3} R L _inst_1 _inst_2 _inst_3) (ConditionallyCompleteLattice.toSupSet.{u3} (LieSubalgebra.{u2, u3} R L _inst_1 _inst_2 _inst_3) (CompleteLattice.toConditionallyCompleteLattice.{u3} (LieSubalgebra.{u2, u3} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.completeLattice.{u2, u3} R L _inst_1 _inst_2 _inst_3))) ι (fun (i : ι) => LieSubalgebra.lieSpan.{u2, u3} R L _inst_1 _inst_2 _inst_3 (s i)))
-Case conversion may be inaccurate. Consider using '#align lie_subalgebra.span_Union LieSubalgebra.span_unionᵢₓ'. -/
-theorem span_unionᵢ {ι} (s : ι → Set L) : lieSpan R L (⋃ i, s i) = ⨆ i, lieSpan R L (s i) :=
-  (LieSubalgebra.gi R L).gc.l_supᵢ
-#align lie_subalgebra.span_Union LieSubalgebra.span_unionᵢ
+  forall (R : Type.{u2}) {L : Type.{u3}} [_inst_1 : CommRing.{u2} R] [_inst_2 : LieRing.{u3} L] [_inst_3 : LieAlgebra.{u2, u3} R L _inst_1 _inst_2] {ι : Sort.{u1}} (s : ι -> (Set.{u3} L)), Eq.{succ u3} (LieSubalgebra.{u2, u3} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.lieSpan.{u2, u3} R L _inst_1 _inst_2 _inst_3 (Set.iUnion.{u3, u1} L ι (fun (i : ι) => s i))) (iSup.{u3, u1} (LieSubalgebra.{u2, u3} R L _inst_1 _inst_2 _inst_3) (ConditionallyCompleteLattice.toSupSet.{u3} (LieSubalgebra.{u2, u3} R L _inst_1 _inst_2 _inst_3) (CompleteLattice.toConditionallyCompleteLattice.{u3} (LieSubalgebra.{u2, u3} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.completeLattice.{u2, u3} R L _inst_1 _inst_2 _inst_3))) ι (fun (i : ι) => LieSubalgebra.lieSpan.{u2, u3} R L _inst_1 _inst_2 _inst_3 (s i)))
+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.span_Union LieSubalgebra.span_iUnionₓ'. -/
+theorem span_iUnion {ι} (s : ι → Set L) : lieSpan R L (⋃ i, s i) = ⨆ i, lieSpan R L (s i) :=
+  (LieSubalgebra.gi R L).gc.l_iSup
+#align lie_subalgebra.span_Union LieSubalgebra.span_iUnion
 
 end LieSpan
 
Diff
@@ -182,7 +182,7 @@ theorem lie_mem {x y : L} (hx : x ∈ L') (hy : y ∈ L') : (⁅x, y⁆ : L) ∈
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) {x : L}, Iff (Membership.Mem.{u2, u2} L (Set.{u2} L) (Set.hasMem.{u2} L) x (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 L'))) (Membership.Mem.{u2, u2} L (Set.{u2} L) (Set.hasMem.{u2} L) x ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (SetLike.Set.hasCoeT.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) L'))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) {x : L}, Iff (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 L'))))) (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (SetLike.coe.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L'))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) {x : L}, Iff (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 L'))))) (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (SetLike.coe.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L'))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.mem_carrier LieSubalgebra.mem_carrierₓ'. -/
 @[simp]
 theorem mem_carrier {x : L} : x ∈ L'.carrier ↔ x ∈ (L' : Set L) :=
@@ -193,7 +193,7 @@ theorem mem_carrier {x : L} : x ∈ L'.carrier ↔ x ∈ (L' : Set L) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (S : Set.{u2} L) (h₁ : forall {a : L} {b : L}, (Membership.Mem.{u2, u2} L (Set.{u2} L) (Set.hasMem.{u2} L) a S) -> (Membership.Mem.{u2, u2} L (Set.{u2} L) (Set.hasMem.{u2} L) b S) -> (Membership.Mem.{u2, u2} L (Set.{u2} L) (Set.hasMem.{u2} L) (HAdd.hAdd.{u2, u2, u2} L L L (instHAdd.{u2} L (AddZeroClass.toHasAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))))) a b) S)) (h₂ : Membership.Mem.{u2, u2} L (Set.{u2} L) (Set.hasMem.{u2} L) (OfNat.ofNat.{u2} L 0 (OfNat.mk.{u2} L 0 (Zero.zero.{u2} L (AddZeroClass.toHasZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))))))) S) (h₃ : forall (c : R) {x : L}, (Membership.Mem.{u2, u2} L (Set.{u2} L) (Set.hasMem.{u2} L) x S) -> (Membership.Mem.{u2, u2} L (Set.{u2} L) (Set.hasMem.{u2} L) (SMul.smul.{u1, u2} R L (SMulZeroClass.toHasSmul.{u1, u2} R L (AddZeroClass.toHasZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R L (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} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))))) c x) S)) (h₄ : forall {x : L} {y : L}, (Membership.Mem.{u2, u2} L ((fun {R : Type.{u1}} {M : Type.{u2}} {_inst_1 : Semiring.{u1} R} {_inst_2 : AddCommMonoid.{u2} M} {_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2} (self : Submodule.{u1, u2} R M _inst_1 _inst_2 _inst_3) => Set.{u2} M) R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃)) (Set.hasMem.{u2} L) x (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃))) -> (Membership.Mem.{u2, u2} L ((fun {R : Type.{u1}} {M : Type.{u2}} {_inst_1 : Semiring.{u1} R} {_inst_2 : AddCommMonoid.{u2} M} {_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2} (self : Submodule.{u1, u2} R M _inst_1 _inst_2 _inst_3) => Set.{u2} M) R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃)) (Set.hasMem.{u2} L) y (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃))) -> (Membership.Mem.{u2, u2} L ((fun {R : Type.{u1}} {M : Type.{u2}} {_inst_1 : Semiring.{u1} R} {_inst_2 : AddCommMonoid.{u2} M} {_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2} (self : Submodule.{u1, u2} R M _inst_1 _inst_2 _inst_3) => Set.{u2} M) R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃)) (Set.hasMem.{u2} L) (Bracket.bracket.{u2, u2} L L (LieRingModule.toHasBracket.{u2, u2} L L _inst_2 (LieRing.toAddCommGroup.{u2} L _inst_2) (lieRingSelfModule.{u2} L _inst_2)) x y) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃)))) {x : L}, Iff (Membership.Mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x (LieSubalgebra.mk.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃) h₄)) (Membership.Mem.{u2, u2} L (Set.{u2} L) (Set.hasMem.{u2} L) x S)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (S : Set.{u2} L) (h₁ : forall {a : L} {b : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) a S) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) b S) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (HAdd.hAdd.{u2, u2, u2} L L L (instHAdd.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))))) a b) S)) (h₂ : S (OfNat.ofNat.{u2} L 0 (Zero.toOfNat0.{u2} L (AddZeroClass.toZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))))))) (h₃ : forall (c : R) {x : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂)))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (HSMul.hSMul.{u1, u2, u2} R L L (instHSMul.{u1, u2} R L (SMulZeroClass.toSMul.{u1, u2} R L (AddMonoid.toZero.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (AddMonoid.toZero.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddMonoid.toZero.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))))) c x) (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂))))) (h₄ : forall {x : L} {y : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) y (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (Bracket.bracket.{u2, u2} L L (LieRingModule.toBracket.{u2, u2} L L _inst_2 (LieRing.toAddCommGroup.{u2} L _inst_2) (lieRingSelfModule.{u2} L _inst_2)) x y) (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃)))))) {x : L}, Iff (Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x (LieSubalgebra.mk.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃) h₄)) (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x S)
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (S : Set.{u2} L) (h₁ : forall {a : L} {b : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) a S) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) b S) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (HAdd.hAdd.{u2, u2, u2} L L L (instHAdd.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))))) a b) S)) (h₂ : S (OfNat.ofNat.{u2} L 0 (Zero.toOfNat0.{u2} L (AddZeroClass.toZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))))))) (h₃ : forall (c : R) {x : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂)))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (HSMul.hSMul.{u1, u2, u2} R L L (instHSMul.{u1, u2} R L (SMulZeroClass.toSMul.{u1, u2} R L (AddMonoid.toZero.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (AddMonoid.toZero.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))))) c x) (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂))))) (h₄ : forall {x : L} {y : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) y (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (Bracket.bracket.{u2, u2} L L (LieRingModule.toBracket.{u2, u2} L L _inst_2 (LieRing.toAddCommGroup.{u2} L _inst_2) (lieRingSelfModule.{u2} L _inst_2)) x y) (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃)))))) {x : L}, Iff (Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x (LieSubalgebra.mk.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Submodule.mk.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃) h₄)) (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x S)
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.mem_mk_iff LieSubalgebra.mem_mk_iffₓ'. -/
 @[simp]
 theorem mem_mk_iff (S : Set L) (h₁ h₂ h₃ h₄) {x : L} :
@@ -235,7 +235,7 @@ theorem ext_iff (x y : L') : x = y ↔ (x : L) = y :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (x : coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L'), Iff (Eq.{succ u2} L ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') L (HasLiftT.mk.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') L (CoeTCₓ.coe.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') L (coeBase.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') L (coeSubtype.{succ u2} L (fun (x : L) => Membership.Mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L'))))) x) (OfNat.ofNat.{u2} L 0 (OfNat.mk.{u2} L 0 (Zero.zero.{u2} L (AddZeroClass.toHasZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (SubNegMonoid.toAddMonoid.{u2} L (AddGroup.toSubNegMonoid.{u2} L (AddCommGroup.toAddGroup.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))))))))) (Eq.{succ u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') x (OfNat.ofNat.{u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') 0 (OfNat.mk.{u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') 0 (Zero.zero.{u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') (ZeroMemClass.zero.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddZeroClass.toHasZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (SubNegMonoid.toAddMonoid.{u2} L (AddGroup.toSubNegMonoid.{u2} L (AddCommGroup.toAddGroup.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))))) (AddSubmonoidClass.to_zeroMemClass.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (AddMonoid.toAddZeroClass.{u2} L (SubNegMonoid.toAddMonoid.{u2} L (AddGroup.toSubNegMonoid.{u2} L (AddCommGroup.toAddGroup.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubgroupClass.to_addSubmonoidClass.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (AddGroup.toSubNegMonoid.{u2} L (AddCommGroup.toAddGroup.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))) (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.addSubgroupClass.{u1, u2} R L _inst_1 _inst_2 _inst_3))) L')))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (x : Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')), Iff (Eq.{succ u2} L (Subtype.val.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (SetLike.coe.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L')) x) (OfNat.ofNat.{u2} L 0 (Zero.toOfNat0.{u2} L (NegZeroClass.toZero.{u2} L (SubNegZeroMonoid.toNegZeroClass.{u2} L (SubtractionMonoid.toSubNegZeroMonoid.{u2} L (SubtractionCommMonoid.toSubtractionMonoid.{u2} L (AddCommGroup.toDivisionAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))))))) (Eq.{succ u2} (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) x (OfNat.ofNat.{u2} (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) 0 (Zero.toOfNat0.{u2} (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) (Submodule.zero.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 L')))))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (x : Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')), Iff (Eq.{succ u2} L (Subtype.val.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (SetLike.coe.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L')) x) (OfNat.ofNat.{u2} L 0 (Zero.toOfNat0.{u2} L (NegZeroClass.toZero.{u2} L (SubNegZeroMonoid.toNegZeroClass.{u2} L (SubtractionMonoid.toSubNegZeroMonoid.{u2} L (SubtractionCommMonoid.toSubtractionMonoid.{u2} L (AddCommGroup.toDivisionAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))))))) (Eq.{succ u2} (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) x (OfNat.ofNat.{u2} (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) 0 (Zero.toOfNat0.{u2} (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) (Submodule.zero.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 L')))))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_zero_iff_zero LieSubalgebra.coe_zero_iff_zeroₓ'. -/
 theorem coe_zero_iff_zero (x : L') : (x : L) = 0 ↔ x = 0 :=
   (ext_iff L' x 0).symm
@@ -258,7 +258,7 @@ theorem ext_iff' (L₁' L₂' : LieSubalgebra R L) : L₁' = L₂' ↔ ∀ x, x
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (S : Set.{u2} L) (h₁ : forall {a : L} {b : L}, (Membership.Mem.{u2, u2} L (Set.{u2} L) (Set.hasMem.{u2} L) a S) -> (Membership.Mem.{u2, u2} L (Set.{u2} L) (Set.hasMem.{u2} L) b S) -> (Membership.Mem.{u2, u2} L (Set.{u2} L) (Set.hasMem.{u2} L) (HAdd.hAdd.{u2, u2, u2} L L L (instHAdd.{u2} L (AddZeroClass.toHasAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))))) a b) S)) (h₂ : Membership.Mem.{u2, u2} L (Set.{u2} L) (Set.hasMem.{u2} L) (OfNat.ofNat.{u2} L 0 (OfNat.mk.{u2} L 0 (Zero.zero.{u2} L (AddZeroClass.toHasZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))))))) S) (h₃ : forall (c : R) {x : L}, (Membership.Mem.{u2, u2} L (Set.{u2} L) (Set.hasMem.{u2} L) x S) -> (Membership.Mem.{u2, u2} L (Set.{u2} L) (Set.hasMem.{u2} L) (SMul.smul.{u1, u2} R L (SMulZeroClass.toHasSmul.{u1, u2} R L (AddZeroClass.toHasZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R L (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} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))))) c x) S)) (h₄ : forall {x : L} {y : L}, (Membership.Mem.{u2, u2} L ((fun {R : Type.{u1}} {M : Type.{u2}} {_inst_1 : Semiring.{u1} R} {_inst_2 : AddCommMonoid.{u2} M} {_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2} (self : Submodule.{u1, u2} R M _inst_1 _inst_2 _inst_3) => Set.{u2} M) R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃)) (Set.hasMem.{u2} L) x (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃))) -> (Membership.Mem.{u2, u2} L ((fun {R : Type.{u1}} {M : Type.{u2}} {_inst_1 : Semiring.{u1} R} {_inst_2 : AddCommMonoid.{u2} M} {_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2} (self : Submodule.{u1, u2} R M _inst_1 _inst_2 _inst_3) => Set.{u2} M) R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃)) (Set.hasMem.{u2} L) y (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃))) -> (Membership.Mem.{u2, u2} L ((fun {R : Type.{u1}} {M : Type.{u2}} {_inst_1 : Semiring.{u1} R} {_inst_2 : AddCommMonoid.{u2} M} {_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2} (self : Submodule.{u1, u2} R M _inst_1 _inst_2 _inst_3) => Set.{u2} M) R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃)) (Set.hasMem.{u2} L) (Bracket.bracket.{u2, u2} L L (LieRingModule.toHasBracket.{u2, u2} L L _inst_2 (LieRing.toAddCommGroup.{u2} L _inst_2) (lieRingSelfModule.{u2} L _inst_2)) x y) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃)))), Eq.{succ u2} (Set.{u2} L) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (SetLike.Set.hasCoeT.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) (LieSubalgebra.mk.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃) h₄)) S
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (S : Set.{u2} L) (h₁ : forall {a : L} {b : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) a S) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) b S) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (HAdd.hAdd.{u2, u2, u2} L L L (instHAdd.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))))) a b) S)) (h₂ : S (OfNat.ofNat.{u2} L 0 (Zero.toOfNat0.{u2} L (AddZeroClass.toZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))))))) (h₃ : forall (c : R) {x : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂)))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (HSMul.hSMul.{u1, u2, u2} R L L (instHSMul.{u1, u2} R L (SMulZeroClass.toSMul.{u1, u2} R L (AddMonoid.toZero.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (AddMonoid.toZero.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddMonoid.toZero.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))))) c x) (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂))))) (h₄ : forall {x : L} {y : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) y (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (Bracket.bracket.{u2, u2} L L (LieRingModule.toBracket.{u2, u2} L L _inst_2 (LieRing.toAddCommGroup.{u2} L _inst_2) (lieRingSelfModule.{u2} L _inst_2)) x y) (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃)))))), Eq.{succ u2} (Set.{u2} L) (SetLike.coe.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.mk.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃) h₄)) S
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (S : Set.{u2} L) (h₁ : forall {a : L} {b : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) a S) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) b S) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (HAdd.hAdd.{u2, u2, u2} L L L (instHAdd.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))))) a b) S)) (h₂ : S (OfNat.ofNat.{u2} L 0 (Zero.toOfNat0.{u2} L (AddZeroClass.toZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))))))) (h₃ : forall (c : R) {x : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂)))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (HSMul.hSMul.{u1, u2, u2} R L L (instHSMul.{u1, u2} R L (SMulZeroClass.toSMul.{u1, u2} R L (AddMonoid.toZero.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} R L (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (AddMonoid.toZero.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R L (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))))) c x) (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂))))) (h₄ : forall {x : L} {y : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) y (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (Bracket.bracket.{u2, u2} L L (LieRingModule.toBracket.{u2, u2} L L _inst_2 (LieRing.toAddCommGroup.{u2} L _inst_2) (lieRingSelfModule.{u2} L _inst_2)) x y) (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃)))))), Eq.{succ u2} (Set.{u2} L) (SetLike.coe.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.mk.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Submodule.mk.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃) h₄)) S
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.mk_coe LieSubalgebra.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (S : Set L) (h₁ h₂ h₃ h₄) :
@@ -270,7 +270,7 @@ theorem mk_coe (S : Set L) (h₁ h₂ h₃ h₄) :
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (p : Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (h : forall {x : L} {y : L}, (Membership.Mem.{u2, u2} L ((fun {R : Type.{u1}} {M : Type.{u2}} {_inst_1 : Semiring.{u1} R} {_inst_2 : AddCommMonoid.{u2} M} {_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2} (self : Submodule.{u1, u2} R M _inst_1 _inst_2 _inst_3) => Set.{u2} M) R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.add_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.zero_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p))) (Set.hasMem.{u2} L) x (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.add_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.zero_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p)))) -> (Membership.Mem.{u2, u2} L ((fun {R : Type.{u1}} {M : Type.{u2}} {_inst_1 : Semiring.{u1} R} {_inst_2 : AddCommMonoid.{u2} M} {_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2} (self : Submodule.{u1, u2} R M _inst_1 _inst_2 _inst_3) => Set.{u2} M) R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.add_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.zero_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p))) (Set.hasMem.{u2} L) y (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.add_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.zero_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p)))) -> (Membership.Mem.{u2, u2} L ((fun {R : Type.{u1}} {M : Type.{u2}} {_inst_1 : Semiring.{u1} R} {_inst_2 : AddCommMonoid.{u2} M} {_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2} (self : Submodule.{u1, u2} R M _inst_1 _inst_2 _inst_3) => Set.{u2} M) R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.add_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.zero_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p))) (Set.hasMem.{u2} L) (Bracket.bracket.{u2, u2} L L (LieRingModule.toHasBracket.{u2, u2} L L _inst_2 (LieRing.toAddCommGroup.{u2} L _inst_2) (lieRingSelfModule.{u2} L _inst_2)) x y) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.add_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.zero_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p))))), Eq.{succ u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) (LieSubalgebra.mk.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.add_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.zero_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p)) h)) p
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (p : Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (h : forall {x : L} {y : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p)))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) y (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p)))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (Bracket.bracket.{u2, u2} L L (LieRingModule.toBracket.{u2, u2} L L _inst_2 (LieRing.toAddCommGroup.{u2} L _inst_2) (lieRingSelfModule.{u2} L _inst_2)) x y) (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p))))))), Eq.{succ u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 (LieSubalgebra.mk.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p)) h)) p
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (p : Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (h : forall {x : L} {y : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.toAddSubmonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p)))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) y (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.toAddSubmonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p)))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (Bracket.bracket.{u2, u2} L L (LieRingModule.toBracket.{u2, u2} L L _inst_2 (LieRing.toAddCommGroup.{u2} L _inst_2) (lieRingSelfModule.{u2} L _inst_2)) x y) (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.toAddSubmonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p))))))), Eq.{succ u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 (LieSubalgebra.mk.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Submodule.mk.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.toAddSubmonoid.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p)) h)) p
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_to_submodule_mk LieSubalgebra.coe_to_submodule_mkₓ'. -/
 @[simp]
 theorem coe_to_submodule_mk (p : Submodule R L) (h) :
@@ -355,7 +355,7 @@ instance : LieModule R L' M
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] {N : Type.{u4}} [_inst_6 : AddCommGroup.{u4} N] [_inst_7 : LieRingModule.{u2, u4} L N _inst_2 _inst_6] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_6)] [_inst_9 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_6 _inst_8 _inst_7] [_inst_10 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_11 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_10 _inst_5], (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_10 _inst_8 _inst_5 _inst_7 _inst_11 _inst_9) -> (forall (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), LieModuleHom.{u1, u2, u3, u4} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') M N _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_4 _inst_6 _inst_10 _inst_8 (LieSubalgebra.lieRingModule.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5) (LieSubalgebra.lieRingModule.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7) (LieSubalgebra.lieModule.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5 _inst_10 _inst_11) (LieSubalgebra.lieModule.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7 _inst_8 _inst_9))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] {N : Type.{u4}} [_inst_6 : AddCommGroup.{u4} N] [_inst_7 : LieRingModule.{u2, u4} L N _inst_2 _inst_6] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_6)] [_inst_9 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)], (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_6 _inst_9 _inst_8 _inst_5 _inst_7) -> (forall (_inst_11 : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), LieModuleHom.{u1, u2, u3, u4} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x _inst_11)) M N _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 _inst_11) _inst_4 _inst_6 _inst_9 _inst_8 (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 _inst_11 M _inst_4 _inst_5) (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 _inst_11 N _inst_6 _inst_7))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] {N : Type.{u4}} [_inst_6 : AddCommGroup.{u4} N] [_inst_7 : LieRingModule.{u2, u4} L N _inst_2 _inst_6] [_inst_8 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_6)] [_inst_9 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)], (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_6 _inst_9 _inst_8 _inst_5 _inst_7) -> (forall (_inst_11 : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), LieModuleHom.{u1, u2, u3, u4} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x _inst_11)) M N _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 _inst_11) _inst_4 _inst_6 _inst_9 _inst_8 (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 _inst_11 M _inst_4 _inst_5) (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 _inst_11 N _inst_6 _inst_7))
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.restrict_lie LieModuleHom.restrictLieₓ'. -/
 /-- An `L`-equivariant map of Lie modules `M → N` is `L'`-equivariant for any Lie subalgebra
 `L' ⊆ L`. -/
@@ -367,7 +367,7 @@ def LieModuleHom.restrictLie (f : M →ₗ⁅R,L⁆ N) (L' : LieSubalgebra R L)
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) {M : Type.{u3}} [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] {N : Type.{u4}} [_inst_6 : AddCommGroup.{u4} N] [_inst_7 : LieRingModule.{u2, u4} L N _inst_2 _inst_6] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_6)] [_inst_9 : LieModule.{u1, u2, u4} R L N _inst_1 _inst_2 _inst_3 _inst_6 _inst_8 _inst_7] [_inst_10 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] [_inst_11 : LieModule.{u1, u2, u3} R L M _inst_1 _inst_2 _inst_3 _inst_4 _inst_10 _inst_5] (f : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_10 _inst_8 _inst_5 _inst_7 _inst_11 _inst_9), Eq.{max (succ u3) (succ u4)} (M -> N) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') M N _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_4 _inst_6 _inst_10 _inst_8 (LieSubalgebra.lieRingModule.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5) (LieSubalgebra.lieRingModule.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7) (LieSubalgebra.lieModule.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5 _inst_10 _inst_11) (LieSubalgebra.lieModule.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7 _inst_8 _inst_9)) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') M N _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_4 _inst_6 _inst_10 _inst_8 (LieSubalgebra.lieRingModule.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5) (LieSubalgebra.lieRingModule.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7) (LieSubalgebra.lieModule.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5 _inst_10 _inst_11) (LieSubalgebra.lieModule.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7 _inst_8 _inst_9)) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L') M N _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_4 _inst_6 _inst_10 _inst_8 (LieSubalgebra.lieRingModule.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5) (LieSubalgebra.lieRingModule.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7) (LieSubalgebra.lieModule.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5 _inst_10 _inst_11) (LieSubalgebra.lieModule.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7 _inst_8 _inst_9)) (LieModuleHom.restrictLie.{u1, u2, u3, u4} R L _inst_1 _inst_2 _inst_3 M _inst_4 _inst_5 N _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 f L')) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_10 _inst_8 _inst_5 _inst_7 _inst_11 _inst_9) (fun (_x : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_10 _inst_8 _inst_5 _inst_7 _inst_11 _inst_9) => M -> N) (LieModuleHom.hasCoeToFun.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_10 _inst_8 _inst_5 _inst_7 _inst_11 _inst_9) f)
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) {M : Type.{u3}} [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] {N : Type.{u4}} [_inst_6 : AddCommGroup.{u4} N] [_inst_7 : LieRingModule.{u2, u4} L N _inst_2 _inst_6] [_inst_8 : Module.{u1, u4} R N (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_6)] [_inst_9 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] (_inst_10 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_6 _inst_9 _inst_8 _inst_5 _inst_7), 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 (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) M N _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_4 _inst_6 _inst_9 _inst_8 (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5) (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7)) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) M N _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_4 _inst_6 _inst_9 _inst_8 (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5) (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7)) (LieModuleHom.restrictLie.{u1, u2, u3, u4} R L _inst_1 _inst_2 _inst_3 M _inst_4 _inst_5 N _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 L')) (FunLike.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_6 _inst_9 _inst_8 _inst_5 _inst_7) 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_6 _inst_9 _inst_8 _inst_5 _inst_7) _inst_10)
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) {M : Type.{u3}} [_inst_4 : AddCommGroup.{u3} M] [_inst_5 : LieRingModule.{u2, u3} L M _inst_2 _inst_4] {N : Type.{u4}} [_inst_6 : AddCommGroup.{u4} N] [_inst_7 : LieRingModule.{u2, u4} L N _inst_2 _inst_6] [_inst_8 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} N _inst_6)] [_inst_9 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_4)] (_inst_10 : LieModuleHom.{u1, u2, u3, u4} R L M N _inst_1 _inst_2 _inst_4 _inst_6 _inst_9 _inst_8 _inst_5 _inst_7), 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 (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) M N _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_4 _inst_6 _inst_9 _inst_8 (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5) (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7)) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Lie.Basic._hyg.10448 : M) => N) a) (LieModuleHom.instFunLikeLieModuleHom.{u1, u2, u3, u4} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L')) M N _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 L') _inst_4 _inst_6 _inst_9 _inst_8 (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L' M _inst_4 _inst_5) (LieSubalgebra.instLieRingModuleSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2, u4} R L _inst_1 _inst_2 _inst_3 L' N _inst_6 _inst_7)) (LieModuleHom.restrictLie.{u1, u2, u3, u4} R L _inst_1 _inst_2 _inst_3 M _inst_4 _inst_5 N _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 L')) (FunLike.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_6 _inst_9 _inst_8 _inst_5 _inst_7) 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_6 _inst_9 _inst_8 _inst_5 _inst_7) _inst_10)
 Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_restrict_lie LieModuleHom.coe_restrictLieₓ'. -/
 @[simp]
 theorem LieModuleHom.coe_restrictLie (f : M →ₗ⁅R,L⁆ N) : ⇑(f.restrictLie L') = f :=
@@ -600,7 +600,7 @@ theorem mem_map (x : L₂) : x ∈ K.map f ↔ ∃ y : L, y ∈ K ∧ f y = x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (e : LieEquiv.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₂), Iff (Membership.Mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.hasMem.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.setLike.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieSubalgebra.map.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 ((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 L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 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(CommRing.toRing.{u1} R _inst_1)))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (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)))) L L₂ (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} R R L L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L _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) (LieEquiv.{u1, u2, u3} R L 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)))) L L₂ (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L _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)} (LieEquiv.{u1, u2, u3} R L 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)))) L L₂ (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L _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)} (LieEquiv.{u1, u2, u3} R L 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)))) L L₂ (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (coeTrans.{max (succ u2) (succ u3), max (succ u2) (succ u3), max (succ u2) (succ u3)} (LieEquiv.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (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)))) (LieEquiv.hasCoeToLinearEquiv._proof_1.{u1} R _inst_1) (LieEquiv.hasCoeToLinearEquiv._proof_2.{u1} R _inst_1) L L₂ (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _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)))) L L₂ (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L _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)} (LinearEquiv.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} 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(AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LinearEquiv.LinearMap.hasCoe.{u1, u1, u2, u3} R R L L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L _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)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (LieEquiv.hasCoeToLinearEquiv._proof_1.{u1} 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(AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K)))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (e : LieEquiv.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₂), Iff (Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieSubalgebra.map.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 (LieEquiv.toLieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 e) K)) (Membership.mem.{u3, u3} L₂ (Submodule.{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)) (SetLike.instMembership.{u3, u3} (Submodule.{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)) L₂ (Submodule.setLike.{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))) x (Submodule.map.{u1, u1, u2, u3, max u2 u3} R R L L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L _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)))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (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)))) L L₂ (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u3} R R L L₂ (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L _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))))) (LinearEquiv.toLinearMap.{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))) L L₂ (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieEquiv.toLinearEquiv.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 e)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (e : LieEquiv.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : L₂), Iff (Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) x (LieSubalgebra.map.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 (LieEquiv.toLieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 e) K)) (Membership.mem.{u3, u3} L₂ (Submodule.{u1, u3} R L₂ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{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)) (SetLike.instMembership.{u3, u3} (Submodule.{u1, u3} R L₂ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{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)) L₂ (Submodule.setLike.{u1, u3} R L₂ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{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))) x (Submodule.map.{u1, u1, u2, u3, max u2 u3} R R L L₂ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L _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)))) (RingHomSurjective.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (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)))) L L₂ (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u3} R R L L₂ (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L _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))))) (LinearEquiv.toLinearMap.{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))) L L₂ (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} L₂ (LieRing.toAddCommGroup.{u3} L₂ _inst_4)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieAlgebra.toModule.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieEquiv.toLinearEquiv.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 e)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.mem_map_submodule LieSubalgebra.mem_map_submoduleₓ'. -/
 -- TODO Rename and state for homs instead of equivs.
 @[simp]
@@ -645,7 +645,7 @@ theorem le_def : K ≤ K' ↔ (K : Set L) ⊆ K' :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Iff (LE.le.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Preorder.toLE.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CompleteSemilatticeInf.toPartialOrder.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.completeLattice.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K')) (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K')
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Iff (LE.le.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Preorder.toLE.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.completeLattice.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))))) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K')
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Iff (LE.le.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Preorder.toLE.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.completeLattice.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))))) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K')
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_submodule_le_coe_submodule LieSubalgebra.coe_submodule_le_coe_submoduleₓ'. -/
 @[simp, norm_cast]
 theorem coe_submodule_le_coe_submodule : (K : Submodule R L) ≤ K' ↔ K ≤ K' :=
@@ -670,7 +670,7 @@ theorem bot_coe : ((⊥ : LieSubalgebra R L) : Set L) = {0} :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2], Eq.{succ u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) (Bot.bot.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.hasBot.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (Bot.bot.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasBot.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2], Eq.{succ u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Bot.bot.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instBotLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (Bot.bot.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.instBotSubmodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2], Eq.{succ u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Bot.bot.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instBotLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (Bot.bot.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.instBotSubmodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.bot_coe_submodule LieSubalgebra.bot_coe_submoduleₓ'. -/
 @[simp]
 theorem bot_coe_submodule : ((⊥ : LieSubalgebra R L) : Submodule R L) = ⊥ :=
@@ -706,7 +706,7 @@ theorem top_coe : ((⊤ : LieSubalgebra R L) : Set L) = univ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2], Eq.{succ u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) (Top.top.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.hasTop.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (Top.top.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasTop.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2], Eq.{succ u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Top.top.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instTopLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (Top.top.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.instTopSubmodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2], Eq.{succ u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Top.top.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instTopLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (Top.top.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.instTopSubmodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.top_coe_submodule LieSubalgebra.top_coe_submoduleₓ'. -/
 @[simp]
 theorem top_coe_submodule : ((⊤ : LieSubalgebra R L) : Submodule R L) = ⊤ :=
@@ -769,7 +769,7 @@ theorem inf_coe : (↑(K ⊓ K') : Set L) = K ∩ K' :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (S : Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)), Eq.{succ u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) (InfSet.infₛ.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.hasInf.{u1, u2} R L _inst_1 _inst_2 _inst_3) S)) (InfSet.infₛ.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasInf.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (setOf.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (fun (_x : Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) => Exists.{succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (fun (s : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) => Exists.{0} (Membership.Mem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Set.hasMem.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) s S) (fun (H : Membership.Mem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Set.hasMem.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) s S) => Eq.{succ u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) s) _x)))))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (S : Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)), Eq.{succ u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 (InfSet.infₛ.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instInfSetLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) S)) (InfSet.infₛ.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.instInfSetSubmodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (setOf.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (fun (_x : Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) => Exists.{succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (fun (s : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) => And (Membership.mem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Set.instMembershipSet.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) s S) (Eq.{succ u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 s) _x)))))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (S : Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)), Eq.{succ u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 (InfSet.infₛ.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instInfSetLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) S)) (InfSet.infₛ.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.instInfSetSubmodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (setOf.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (fun (_x : Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) => Exists.{succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (fun (s : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) => And (Membership.mem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Set.instMembershipSet.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) s S) (Eq.{succ u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 s) _x)))))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.Inf_coe_to_submodule LieSubalgebra.infₛ_coe_to_submoduleₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:366:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S} -/
 @[simp]
@@ -856,7 +856,7 @@ theorem add_eq_sup : K + K' = K ⊔ K' :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Eq.{succ u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) (Inf.inf.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.hasInf.{u1, u2} R L _inst_1 _inst_2 _inst_3) K K')) (Inf.inf.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasInf.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K'))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Eq.{succ u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Inf.inf.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instInfLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) K K')) (Inf.inf.{u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.instInfSubmodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Eq.{succ u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Inf.inf.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instInfLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) K K')) (Inf.inf.{u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.instInfSubmodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.inf_coe_to_submodule LieSubalgebra.inf_coe_to_submoduleₓ'. -/
 @[norm_cast, simp]
 theorem inf_coe_to_submodule :
@@ -917,7 +917,7 @@ variable (R L)
 lean 3 declaration is
   forall (R : Type.{u1}) (L : Type.{u2}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_6 : IsNoetherian.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)], WellFounded.{succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (GT.gt.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))))
 but is expected to have type
-  forall (R : Type.{u1}) (L : Type.{u2}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_6 : IsNoetherian.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)], WellFounded.{succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (fun (x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6186 : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6188 : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) => GT.gt.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6186 x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6188)
+  forall (R : Type.{u1}) (L : Type.{u2}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] [_inst_6 : IsNoetherian.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)], WellFounded.{succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (fun (x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6169 : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6171 : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) => GT.gt.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6169 x._@.Mathlib.Algebra.Lie.Subalgebra._hyg.6171)
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.well_founded_of_noetherian LieSubalgebra.wellFounded_of_noetherianₓ'. -/
 theorem wellFounded_of_noetherian [IsNoetherian R L] :
     WellFounded ((· > ·) : LieSubalgebra R L → LieSubalgebra R L → Prop) :=
@@ -1025,7 +1025,7 @@ theorem ofLe_eq_comap_incl : ofLe h = K.comap K'.incl :=
 lean 3 declaration is
   forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} (h : LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K'), Eq.{succ u2} (Submodule.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') (LieRing.toAddCommGroup.{u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (LieSubalgebra.module.{u1, u2, u1} R L _inst_1 _inst_2 _inst_3 R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Mul.toSMul.{u1} R (MulOneClass.toHasMul.{u1} R (Monoid.toMulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (IsScalarTower.left.{u1, u2} R L (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_1)) (MulActionWithZero.toMulAction.{u1, u2} R L (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K')) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (Submodule.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') (LieRing.toAddCommGroup.{u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (LieSubalgebra.module.{u1, u2, u1} R L _inst_1 _inst_2 _inst_3 R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Mul.toSMul.{u1} R (MulOneClass.toHasMul.{u1} R (Monoid.toMulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (IsScalarTower.left.{u1, u2} R L (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_1)) (MulActionWithZero.toMulAction.{u1, u2} R L (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K')) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (Submodule.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') (LieRing.toAddCommGroup.{u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (LieSubalgebra.module.{u1, u2, u1} R L _inst_1 _inst_2 _inst_3 R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Mul.toSMul.{u1} R (MulOneClass.toHasMul.{u1} R (Monoid.toMulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (IsScalarTower.left.{u1, u2} R L (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_1)) (MulActionWithZero.toMulAction.{u1, u2} R L (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K')) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') _inst_1 (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.lieAlgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (Submodule.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') (LieRing.toAddCommGroup.{u2} (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) K') (LieSubalgebra.lieRing.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (LieSubalgebra.module.{u1, u2, u1} R L _inst_1 _inst_2 _inst_3 R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Mul.toSMul.{u1} R (MulOneClass.toHasMul.{u1} R (Monoid.toMulOneClass.{u1} R (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (IsScalarTower.left.{u1, u2} R L (Ring.toMonoid.{u1} R (CommRing.toRing.{u1} R _inst_1)) (MulActionWithZero.toMulAction.{u1, u2} R L (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) K')) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L 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_inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} 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(Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Submodule.ofLe.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') h))
 but is expected to have type
-  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} (h : LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K'), Eq.{succ u2} (Submodule.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} 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(LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (LieSubalgebra.toSubmodule.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.ofLe.{u1, u2} R L _inst_1 _inst_2 _inst_3 K K' h)) (LinearMap.range.{u1, u1, u2, u2, u2} R R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K))) (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Submodule.addCommMonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)) (Submodule.addCommMonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (Submodule.module.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)) (Submodule.module.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (LinearMap.{u1, u1, u2, u2} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K))) (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (Submodule.addCommMonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)) (Submodule.addCommMonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (Submodule.module.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)) (Submodule.module.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u2} R R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K))) (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3))) x (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (Submodule.addCommMonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)) (Submodule.addCommMonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (Submodule.module.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K)) (Submodule.module.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (RingHomSurjective.ids.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Submodule.ofLe.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') h))
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} (h : LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K'), Eq.{succ u2} (Submodule.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) (LieRing.toAddCommGroup.{u2} (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (LieAlgebra.toModule.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K'))) (LieSubalgebra.toSubmodule.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) _inst_1 (LieSubalgebra.instLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.instLieAlgebraSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebraInstLieRingSubtypeMemLieSubalgebraInstMembershipInstSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') (LieSubalgebra.ofLe.{u1, u2} R L _inst_1 _inst_2 _inst_3 K K' h)) (LinearMap.range.{u1, u1, u2, u2, u2} R R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) L (Submodule.setLike.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) 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(CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K')) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (RingHomSurjective.ids.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Submodule.ofLe.{u1, u2} R L (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K) (LieSubalgebra.toSubmodule.{u1, u2} R L _inst_1 _inst_2 _inst_3 K') h))
 Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_of_le LieSubalgebra.coe_ofLeₓ'. -/
 @[simp]
 theorem coe_ofLe : (ofLe h : Submodule R K') = (Submodule.ofLe h).range :=
Diff
@@ -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.subalgebra
-! leanprover-community/mathlib commit 6d584f1709bedbed9175bd9350df46599bdd7213
+! leanprover-community/mathlib commit 8ef6f08ff8c781c5c07a8b12843710e1a0d8a688
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.RingTheory.Noetherian
 /-!
 # Lie subalgebras
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file defines Lie subalgebras of a Lie algebra and provides basic related definitions and
 results.
 
Diff
@@ -40,11 +40,13 @@ section LieSubalgebra
 
 variable (R : Type u) (L : Type v) [CommRing R] [LieRing L] [LieAlgebra R L]
 
+#print LieSubalgebra /-
 /-- A Lie subalgebra of a Lie algebra is submodule that is closed under the Lie bracket.
 This is a sufficient condition for the subset itself to form a Lie algebra. -/
 structure LieSubalgebra extends Submodule R L where
   lie_mem' : ∀ {x y}, x ∈ carrier → y ∈ carrier → ⁅x, y⁆ ∈ carrier
 #align lie_subalgebra LieSubalgebra
+-/
 
 attribute [nolint doc_blame] LieSubalgebra.toSubmodule
 
@@ -130,75 +132,143 @@ instance (L' : LieSubalgebra R L) : LieAlgebra R L'
 
 variable {R L} (L' : LieSubalgebra R L)
 
+/- warning: lie_subalgebra.zero_mem -> LieSubalgebra.zero_mem is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Membership.Mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (OfNat.ofNat.{u2} L 0 (OfNat.mk.{u2} L 0 (Zero.zero.{u2} L (AddZeroClass.toHasZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (SubNegMonoid.toAddMonoid.{u2} L (AddGroup.toSubNegMonoid.{u2} L (AddCommGroup.toAddGroup.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))))))) L'
+but is expected to have type
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3), Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (OfNat.ofNat.{u2} L 0 (Zero.toOfNat0.{u2} L (NegZeroClass.toZero.{u2} L (SubNegZeroMonoid.toNegZeroClass.{u2} L (SubtractionMonoid.toSubNegZeroMonoid.{u2} L (SubtractionCommMonoid.toSubtractionMonoid.{u2} L (AddCommGroup.toDivisionAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))))))) L'
+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.zero_mem LieSubalgebra.zero_memₓ'. -/
 @[simp]
 protected theorem zero_mem : (0 : L) ∈ L' :=
   zero_mem L'
 #align lie_subalgebra.zero_mem LieSubalgebra.zero_mem
 
+/- warning: lie_subalgebra.add_mem -> LieSubalgebra.add_mem is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) {x : L} {y : L}, (Membership.Mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L') -> (Membership.Mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) y L') -> (Membership.Mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HAdd.hAdd.{u2, u2, u2} L L L (instHAdd.{u2} L (AddZeroClass.toHasAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (SubNegMonoid.toAddMonoid.{u2} L (AddGroup.toSubNegMonoid.{u2} L (AddCommGroup.toAddGroup.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))))) x y) L')
+but is expected to have type
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) {x : L} {y : L}, (Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L') -> (Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) y L') -> (Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HAdd.hAdd.{u2, u2, u2} L L L (instHAdd.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (SubNegMonoid.toAddMonoid.{u2} L (AddGroup.toSubNegMonoid.{u2} L (AddCommGroup.toAddGroup.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))))) x y) L')
+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.add_mem LieSubalgebra.add_memₓ'. -/
 protected theorem add_mem {x y : L} : x ∈ L' → y ∈ L' → (x + y : L) ∈ L' :=
   add_mem
 #align lie_subalgebra.add_mem LieSubalgebra.add_mem
 
+/- warning: lie_subalgebra.sub_mem -> LieSubalgebra.sub_mem is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (L' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) {x : L} {y : L}, (Membership.Mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x L') -> (Membership.Mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) y L') -> (Membership.Mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HSub.hSub.{u2, u2, u2} L L L (instHSub.{u2} L (SubNegMonoid.toHasSub.{u2} L (AddGroup.toSubNegMonoid.{u2} L (AddCommGroup.toAddGroup.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) x y) L')
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.sub_mem LieSubalgebra.sub_memₓ'. -/
 protected theorem sub_mem {x y : L} : x ∈ L' → y ∈ L' → (x - y : L) ∈ L' :=
   sub_mem
 #align lie_subalgebra.sub_mem LieSubalgebra.sub_mem
 
+#print LieSubalgebra.smul_mem /-
 theorem smul_mem (t : R) {x : L} (h : x ∈ L') : t • x ∈ L' :=
   (L' : Submodule R L).smul_mem t h
 #align lie_subalgebra.smul_mem LieSubalgebra.smul_mem
+-/
 
+#print LieSubalgebra.lie_mem /-
 theorem lie_mem {x y : L} (hx : x ∈ L') (hy : y ∈ L') : (⁅x, y⁆ : L) ∈ L' :=
   L'.lie_mem' hx hy
 #align lie_subalgebra.lie_mem LieSubalgebra.lie_mem
+-/
 
+/- warning: lie_subalgebra.mem_carrier -> LieSubalgebra.mem_carrier is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.mem_carrier LieSubalgebra.mem_carrierₓ'. -/
 @[simp]
 theorem mem_carrier {x : L} : x ∈ L'.carrier ↔ x ∈ (L' : Set L) :=
   Iff.rfl
 #align lie_subalgebra.mem_carrier LieSubalgebra.mem_carrier
 
+/- warning: lie_subalgebra.mem_mk_iff -> LieSubalgebra.mem_mk_iff is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.mem_mk_iff LieSubalgebra.mem_mk_iffₓ'. -/
 @[simp]
 theorem mem_mk_iff (S : Set L) (h₁ h₂ h₃ h₄) {x : L} :
     x ∈ (⟨⟨S, h₁, h₂, h₃⟩, h₄⟩ : LieSubalgebra R L) ↔ x ∈ S :=
   Iff.rfl
 #align lie_subalgebra.mem_mk_iff LieSubalgebra.mem_mk_iff
 
+#print LieSubalgebra.mem_coe_submodule /-
 @[simp]
 theorem mem_coe_submodule {x : L} : x ∈ (L' : Submodule R L) ↔ x ∈ L' :=
   Iff.rfl
 #align lie_subalgebra.mem_coe_submodule LieSubalgebra.mem_coe_submodule
+-/
 
+#print LieSubalgebra.mem_coe /-
 theorem mem_coe {x : L} : x ∈ (L' : Set L) ↔ x ∈ L' :=
   Iff.rfl
 #align lie_subalgebra.mem_coe LieSubalgebra.mem_coe
+-/
 
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 @[simp, norm_cast]
 theorem coe_bracket (x y : L') : (↑⁅x, y⁆ : L) = ⁅(↑x : L), ↑y⁆ :=
   rfl
 #align lie_subalgebra.coe_bracket LieSubalgebra.coe_bracket
 
+#print LieSubalgebra.ext_iff /-
 theorem ext_iff (x y : L') : x = y ↔ (x : L) = y :=
   Subtype.ext_iff
 #align lie_subalgebra.ext_iff LieSubalgebra.ext_iff
+-/
 
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 theorem coe_zero_iff_zero (x : L') : (x : L) = 0 ↔ x = 0 :=
   (ext_iff L' x 0).symm
 #align lie_subalgebra.coe_zero_iff_zero LieSubalgebra.coe_zero_iff_zero
 
+#print LieSubalgebra.ext /-
 @[ext]
 theorem ext (L₁' L₂' : LieSubalgebra R L) (h : ∀ x, x ∈ L₁' ↔ x ∈ L₂') : L₁' = L₂' :=
   SetLike.ext h
 #align lie_subalgebra.ext LieSubalgebra.ext
+-/
 
+#print LieSubalgebra.ext_iff' /-
 theorem ext_iff' (L₁' L₂' : LieSubalgebra R L) : L₁' = L₂' ↔ ∀ x, x ∈ L₁' ↔ x ∈ L₂' :=
   SetLike.ext_iff
 #align lie_subalgebra.ext_iff' LieSubalgebra.ext_iff'
+-/
 
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(Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃)) (Set.hasMem.{u2} L) (Bracket.bracket.{u2, u2} L L (LieRingModule.toHasBracket.{u2, u2} L L _inst_2 (LieRing.toAddCommGroup.{u2} L _inst_2) (lieRingSelfModule.{u2} L _inst_2)) x y) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃)))), Eq.{succ u2} (Set.{u2} L) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Set.{u2} L) (SetLike.Set.hasCoeT.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.setLike.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) (LieSubalgebra.mk.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) S h₁ h₂ h₃) h₄)) S
+but is expected to have type
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (S : Set.{u2} L) (h₁ : forall {a : L} {b : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) a S) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) b S) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (HAdd.hAdd.{u2, u2, u2} L L L (instHAdd.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))))) a b) S)) (h₂ : S (OfNat.ofNat.{u2} L 0 (Zero.toOfNat0.{u2} L (AddZeroClass.toZero.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))))))) (h₃ : forall (c : R) {x : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂)))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (HSMul.hSMul.{u1, u2, u2} R L L (instHSMul.{u1, u2} R L (SMulZeroClass.toSMul.{u1, u2} R L (AddMonoid.toZero.{u2} L (AddCommMonoid.toAddMonoid.{u2} 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(AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂))))) (h₄ : forall {x : L} {y : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L 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(AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) y (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (Bracket.bracket.{u2, u2} L L (LieRingModule.toBracket.{u2, u2} L L _inst_2 (LieRing.toAddCommGroup.{u2} L _inst_2) (lieRingSelfModule.{u2} L _inst_2)) x y) (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃)))))), Eq.{succ u2} (Set.{u2} L) (SetLike.coe.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.mk.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (AddSubmonoid.mk.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (AddSubsemigroup.mk.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) S h₁) h₂) h₃) h₄)) S
+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.mk_coe LieSubalgebra.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (S : Set L) (h₁ h₂ h₃ h₄) :
     ((⟨⟨S, h₁, h₂, h₃⟩, h₄⟩ : LieSubalgebra R L) : Set L) = S :=
   rfl
 #align lie_subalgebra.mk_coe LieSubalgebra.mk_coe
 
+/- warning: lie_subalgebra.coe_to_submodule_mk -> LieSubalgebra.coe_to_submodule_mk is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (p : Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (h : forall {x : L} {y : L}, (Membership.Mem.{u2, u2} L ((fun {R : Type.{u1}} {M : Type.{u2}} {_inst_1 : Semiring.{u1} R} {_inst_2 : AddCommMonoid.{u2} M} {_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2} (self : Submodule.{u1, u2} R M _inst_1 _inst_2 _inst_3) => Set.{u2} M) R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.add_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.zero_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p))) (Set.hasMem.{u2} L) x (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.add_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.zero_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p)))) -> (Membership.Mem.{u2, u2} L ((fun {R : Type.{u1}} {M : Type.{u2}} {_inst_1 : Semiring.{u1} R} {_inst_2 : AddCommMonoid.{u2} M} {_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2} (self : Submodule.{u1, u2} R M _inst_1 _inst_2 _inst_3) => Set.{u2} M) R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.add_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.zero_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p))) (Set.hasMem.{u2} L) y (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.add_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.zero_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p)))) -> (Membership.Mem.{u2, u2} L ((fun {R : Type.{u1}} {M : Type.{u2}} {_inst_1 : Semiring.{u1} R} {_inst_2 : AddCommMonoid.{u2} M} {_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2} (self : Submodule.{u1, u2} R M _inst_1 _inst_2 _inst_3) => Set.{u2} M) R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.add_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.zero_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p))) (Set.hasMem.{u2} L) (Bracket.bracket.{u2, u2} L L (LieRingModule.toHasBracket.{u2, u2} L L _inst_2 (LieRing.toAddCommGroup.{u2} L _inst_2) (lieRingSelfModule.{u2} L _inst_2)) x y) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.add_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.zero_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p))))), Eq.{succ u2} (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (HasLiftT.mk.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (CoeTCₓ.coe.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (coeBase.{succ u2, succ u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (Submodule.hasCoe.{u1, u2} R L _inst_1 _inst_2 _inst_3)))) (LieSubalgebra.mk.{u1, u2} R L _inst_1 _inst_2 _inst_3 (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.carrier.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.add_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.zero_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p)) h)) p
+but is expected to have type
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] (p : Submodule.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (h : forall {x : L} {y : L}, (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) x (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p)))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) y (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.mk.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p) (Submodule.smul_mem'.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)) (LieAlgebra.toModule.{u1, u2} R L _inst_1 _inst_2 _inst_3) p)))))) -> (Membership.mem.{u2, u2} L (Set.{u2} L) (Set.instMembershipSet.{u2} L) (Bracket.bracket.{u2, u2} L L (LieRingModule.toBracket.{u2, u2} L L _inst_2 (LieRing.toAddCommGroup.{u2} L _inst_2) (lieRingSelfModule.{u2} L _inst_2)) x y) (AddSubsemigroup.carrier.{u2} L (AddZeroClass.toAdd.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2))))) (AddSubmonoid.toAddSubsemigroup.{u2} L (AddMonoid.toAddZeroClass.{u2} L (AddCommMonoid.toAddMonoid.{u2} L (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L _inst_2)))) (Submodule.toAddSubmonoid.{u1, u2} R L (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} L (LieRing.toAddCommGroup.{u2} L 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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_to_submodule_mk LieSubalgebra.coe_to_submodule_mkₓ'. -/
 @[simp]
 theorem coe_to_submodule_mk (p : Submodule R L) (h) :
     (({ p with lie_mem' := h } : LieSubalgebra R L) : Submodule R L) = p :=
@@ -207,32 +277,42 @@ theorem coe_to_submodule_mk (p : Submodule R L) (h) :
   rfl
 #align lie_subalgebra.coe_to_submodule_mk LieSubalgebra.coe_to_submodule_mk
 
+#print LieSubalgebra.coe_injective /-
 theorem coe_injective : Function.Injective (coe : LieSubalgebra R L → Set L) :=
   SetLike.coe_injective
 #align lie_subalgebra.coe_injective LieSubalgebra.coe_injective
+-/
 
+#print LieSubalgebra.coe_set_eq /-
 @[norm_cast]
 theorem coe_set_eq (L₁' L₂' : LieSubalgebra R L) : (L₁' : Set L) = L₂' ↔ L₁' = L₂' :=
   SetLike.coe_set_eq
 #align lie_subalgebra.coe_set_eq LieSubalgebra.coe_set_eq
+-/
 
+#print LieSubalgebra.to_submodule_injective /-
 theorem to_submodule_injective : Function.Injective (coe : LieSubalgebra R L → Submodule R L) :=
   fun L₁' L₂' h => by
   rw [SetLike.ext'_iff] at h
   rw [← coe_set_eq]
   exact h
 #align lie_subalgebra.to_submodule_injective LieSubalgebra.to_submodule_injective
+-/
 
+#print LieSubalgebra.coe_to_submodule_eq_iff /-
 @[simp]
 theorem coe_to_submodule_eq_iff (L₁' L₂' : LieSubalgebra R L) :
     (L₁' : Submodule R L) = (L₂' : Submodule R L) ↔ L₁' = L₂' :=
   to_submodule_injective.eq_iff
 #align lie_subalgebra.coe_to_submodule_eq_iff LieSubalgebra.coe_to_submodule_eq_iff
+-/
 
+#print LieSubalgebra.coe_to_submodule /-
 @[norm_cast]
 theorem coe_to_submodule : ((L' : Submodule R L) : Set L) = L' :=
   rfl
 #align lie_subalgebra.coe_to_submodule LieSubalgebra.coe_to_submodule
+-/
 
 section LieModule
 
@@ -248,6 +328,12 @@ instance : LieRingModule L' M where
   lie_add x y m := lie_add x y m
   leibniz_lie x y m := leibniz_lie x y m
 
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 @[simp]
 theorem coe_bracket_of_module (x : L') (m : M) : ⁅x, m⁆ = ⁅(x : L), m⁆ :=
   rfl
@@ -262,12 +348,24 @@ instance : LieModule R L' M
   smul_lie t x m := by simp only [coe_bracket_of_module, smul_lie, Submodule.coe_smul_of_tower]
   lie_smul t x m := by simp only [coe_bracket_of_module, lie_smul]
 
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 /-- An `L`-equivariant map of Lie modules `M → N` is `L'`-equivariant for any Lie subalgebra
 `L' ⊆ L`. -/
 def LieModuleHom.restrictLie (f : M →ₗ⁅R,L⁆ N) (L' : LieSubalgebra R L) : M →ₗ⁅R,L'⁆ N :=
   { (f : M →ₗ[R] N) with map_lie' := fun x m => f.map_lie (↑x) m }
 #align lie_module_hom.restrict_lie LieModuleHom.restrictLie
 
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+Case conversion may be inaccurate. Consider using '#align lie_module_hom.coe_restrict_lie LieModuleHom.coe_restrictLieₓ'. -/
 @[simp]
 theorem LieModuleHom.coe_restrictLie (f : M →ₗ⁅R,L⁆ N) : ⇑(f.restrictLie L') = f :=
   rfl
@@ -275,6 +373,12 @@ theorem LieModuleHom.coe_restrictLie (f : M →ₗ⁅R,L⁆ N) : ⇑(f.restrictL
 
 end LieModule
 
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.incl LieSubalgebra.inclₓ'. -/
 /-- The embedding of a Lie subalgebra into the ambient space as a morphism of Lie algebras. -/
 def incl : L' →ₗ⁅R⁆ L :=
   { (L' : Submodule R L).Subtype with
@@ -284,11 +388,18 @@ def incl : L' →ₗ⁅R⁆ L :=
       rfl }
 #align lie_subalgebra.incl LieSubalgebra.incl
 
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 @[simp]
 theorem coe_incl : ⇑L'.incl = coe :=
   rfl
 #align lie_subalgebra.coe_incl LieSubalgebra.coe_incl
 
+#print LieSubalgebra.incl' /-
 /-- The embedding of a Lie subalgebra into the ambient space as a morphism of Lie modules. -/
 def incl' : L' →ₗ⁅R,L'⁆ L :=
   { (L' : Submodule R L).Subtype with
@@ -296,11 +407,14 @@ def incl' : L' →ₗ⁅R,L'⁆ L :=
       simp only [coe_bracket_of_module, LinearMap.toFun_eq_coe, Submodule.subtype_apply,
         coe_bracket] }
 #align lie_subalgebra.incl' LieSubalgebra.incl'
+-/
 
+#print LieSubalgebra.coe_incl' /-
 @[simp]
 theorem coe_incl' : ⇑L'.incl' = coe :=
   rfl
 #align lie_subalgebra.coe_incl' LieSubalgebra.coe_incl'
+-/
 
 end LieSubalgebra
 
@@ -310,6 +424,7 @@ variable (f : L →ₗ⁅R⁆ L₂)
 
 namespace LieHom
 
+#print LieHom.range /-
 /-- The range of a morphism of Lie algebras is a Lie subalgebra. -/
 def range : LieSubalgebra R L₂ :=
   { (f : L →ₗ[R] L₂).range with
@@ -323,21 +438,46 @@ def range : LieSubalgebra R L₂ :=
         change f ⁅x', y'⁆ = ⁅f x', f y'⁆
         rw [map_lie] }
 #align lie_hom.range LieHom.range
+-/
 
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 @[simp]
 theorem range_coe : (f.range : Set L₂) = Set.range f :=
   LinearMap.range_coe ↑f
 #align lie_hom.range_coe LieHom.range_coe
 
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 @[simp]
 theorem mem_range (x : L₂) : x ∈ f.range ↔ ∃ y : L, f y = x :=
   LinearMap.mem_range
 #align lie_hom.mem_range LieHom.mem_range
 
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 theorem mem_range_self (x : L) : f x ∈ f.range :=
   LinearMap.mem_range_self f x
 #align lie_hom.mem_range_self LieHom.mem_range_self
 
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 /-- We can restrict a morphism to a (surjective) map to its range. -/
 def rangeRestrict : L →ₗ⁅R⁆ f.range :=
   { (f : L →ₗ[R] L₂).range_restrict with
@@ -346,11 +486,23 @@ def rangeRestrict : L →ₗ⁅R⁆ f.range :=
       exact f.map_lie x y }
 #align lie_hom.range_restrict LieHom.rangeRestrict
 
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 @[simp]
 theorem rangeRestrict_apply (x : L) : f.range_restrict x = ⟨f x, f.mem_range_self x⟩ :=
   rfl
 #align lie_hom.range_restrict_apply LieHom.rangeRestrict_apply
 
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 theorem surjective_rangeRestrict : Function.Surjective f.range_restrict :=
   by
   rintro ⟨y, hy⟩
@@ -359,6 +511,12 @@ theorem surjective_rangeRestrict : Function.Surjective f.range_restrict :=
   simp only [Subtype.mk_eq_mk, range_restrict_apply]
 #align lie_hom.surjective_range_restrict LieHom.surjective_rangeRestrict
 
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 /-- A Lie algebra is equivalent to its range under an injective Lie algebra morphism. -/
 noncomputable def equivRangeOfInjective (h : Function.Injective f) : L ≃ₗ⁅R⁆ f.range :=
   LieEquiv.ofBijective f.range_restrict
@@ -367,6 +525,12 @@ noncomputable def equivRangeOfInjective (h : Function.Injective f) : L ≃ₗ⁅
       exact h hxy, f.surjective_rangeRestrict⟩
 #align lie_hom.equiv_range_of_injective LieHom.equivRangeOfInjective
 
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 @[simp]
 theorem equivRangeOfInjective_apply (h : Function.Injective f) (x : L) :
     f.equivRangeOfInjective h x = ⟨f x, mem_range_self f x⟩ :=
@@ -375,6 +539,7 @@ theorem equivRangeOfInjective_apply (h : Function.Injective f) (x : L) :
 
 end LieHom
 
+#print Submodule.exists_lieSubalgebra_coe_eq_iff /-
 theorem Submodule.exists_lieSubalgebra_coe_eq_iff (p : Submodule R L) :
     (∃ K : LieSubalgebra R L, ↑K = p) ↔ ∀ x y : L, x ∈ p → y ∈ p → ⁅x, y⁆ ∈ p :=
   by
@@ -385,18 +550,22 @@ theorem Submodule.exists_lieSubalgebra_coe_eq_iff (p : Submodule R L) :
     use { p with lie_mem' := h }
     exact LieSubalgebra.coe_to_submodule_mk p _
 #align submodule.exists_lie_subalgebra_coe_eq_iff Submodule.exists_lieSubalgebra_coe_eq_iff
+-/
 
 namespace LieSubalgebra
 
 variable (K K' : LieSubalgebra R L) (K₂ : LieSubalgebra R L₂)
 
+#print LieSubalgebra.incl_range /-
 @[simp]
 theorem incl_range : K.incl.range = K :=
   by
   rw [← coe_to_submodule_eq_iff]
   exact (K : Submodule R L).range_subtype
 #align lie_subalgebra.incl_range LieSubalgebra.incl_range
+-/
 
+#print LieSubalgebra.map /-
 /-- The image of a Lie subalgebra under a Lie algebra morphism is a Lie subalgebra of the
 codomain. -/
 def map : LieSubalgebra R L₂ :=
@@ -411,12 +580,25 @@ def map : LieSubalgebra R L₂ :=
       erw [Submodule.mem_map]
       exact ⟨⁅x', y'⁆, K.lie_mem hx' hy', f.map_lie x' y'⟩ }
 #align lie_subalgebra.map LieSubalgebra.map
+-/
 
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 @[simp]
 theorem mem_map (x : L₂) : x ∈ K.map f ↔ ∃ y : L, y ∈ K ∧ f y = x :=
   Submodule.mem_map
 #align lie_subalgebra.mem_map LieSubalgebra.mem_map
 
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.mem_map_submodule LieSubalgebra.mem_map_submoduleₓ'. -/
 -- TODO Rename and state for homs instead of equivs.
 @[simp]
 theorem mem_map_submodule (e : L ≃ₗ⁅R⁆ L₂) (x : L₂) :
@@ -424,6 +606,7 @@ theorem mem_map_submodule (e : L ≃ₗ⁅R⁆ L₂) (x : L₂) :
   Iff.rfl
 #align lie_subalgebra.mem_map_submodule LieSubalgebra.mem_map_submodule
 
+#print LieSubalgebra.comap /-
 /-- The preimage of a Lie subalgebra under a Lie algebra morphism is a Lie subalgebra of the
 domain. -/
 def comap : LieSubalgebra R L :=
@@ -433,6 +616,7 @@ def comap : LieSubalgebra R L :=
       suffices ⁅f x, f y⁆ ∈ K₂ by simp [this]
       exact K₂.lie_mem hx hy }
 #align lie_subalgebra.comap LieSubalgebra.comap
+-/
 
 section LatticeStructure
 
@@ -444,10 +628,22 @@ instance : PartialOrder (LieSubalgebra R L) :=
       (coe : LieSubalgebra R L → Set L) coe_injective with
     le := fun N N' => ∀ ⦃x⦄, x ∈ N → x ∈ N' }
 
+/- warning: lie_subalgebra.le_def -> LieSubalgebra.le_def is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.le_def LieSubalgebra.le_defₓ'. -/
 theorem le_def : K ≤ K' ↔ (K : Set L) ⊆ K' :=
   Iff.rfl
 #align lie_subalgebra.le_def LieSubalgebra.le_def
 
+/- warning: lie_subalgebra.coe_submodule_le_coe_submodule -> LieSubalgebra.coe_submodule_le_coe_submodule is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.coe_submodule_le_coe_submodule LieSubalgebra.coe_submodule_le_coe_submoduleₓ'. -/
 @[simp, norm_cast]
 theorem coe_submodule_le_coe_submodule : (K : Submodule R L) ≤ K' ↔ K ≤ K' :=
   Iff.rfl
@@ -456,16 +652,34 @@ theorem coe_submodule_le_coe_submodule : (K : Submodule R L) ≤ K' ↔ K ≤ K'
 instance : Bot (LieSubalgebra R L) :=
   ⟨0⟩
 
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.bot_coe LieSubalgebra.bot_coeₓ'. -/
 @[simp]
 theorem bot_coe : ((⊥ : LieSubalgebra R L) : Set L) = {0} :=
   rfl
 #align lie_subalgebra.bot_coe LieSubalgebra.bot_coe
 
+/- warning: lie_subalgebra.bot_coe_submodule -> LieSubalgebra.bot_coe_submodule is a dubious translation:
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 @[simp]
 theorem bot_coe_submodule : ((⊥ : LieSubalgebra R L) : Submodule R L) = ⊥ :=
   rfl
 #align lie_subalgebra.bot_coe_submodule LieSubalgebra.bot_coe_submodule
 
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 @[simp]
 theorem mem_bot (x : L) : x ∈ (⊥ : LieSubalgebra R L) ↔ x = 0 :=
   mem_singleton_iff
@@ -474,21 +688,45 @@ theorem mem_bot (x : L) : x ∈ (⊥ : LieSubalgebra R L) ↔ x = 0 :=
 instance : Top (LieSubalgebra R L) :=
   ⟨{ (⊤ : Submodule R L) with lie_mem' := fun x y hx hy => mem_univ ⁅x, y⁆ }⟩
 
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 @[simp]
 theorem top_coe : ((⊤ : LieSubalgebra R L) : Set L) = univ :=
   rfl
 #align lie_subalgebra.top_coe LieSubalgebra.top_coe
 
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 @[simp]
 theorem top_coe_submodule : ((⊤ : LieSubalgebra R L) : Submodule R L) = ⊤ :=
   rfl
 #align lie_subalgebra.top_coe_submodule LieSubalgebra.top_coe_submodule
 
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 @[simp]
 theorem mem_top (x : L) : x ∈ (⊤ : LieSubalgebra R L) :=
   mem_univ x
 #align lie_subalgebra.mem_top LieSubalgebra.mem_top
 
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 theorem LieHom.range_eq_map : f.range = map f ⊤ :=
   by
   ext
@@ -513,11 +751,23 @@ instance : InfSet (LieSubalgebra R L) :=
         intro K hK
         exact K.lie_mem (hx K hK) (hy K hK) }⟩
 
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 @[simp]
 theorem inf_coe : (↑(K ⊓ K') : Set L) = K ∩ K' :=
   rfl
 #align lie_subalgebra.inf_coe LieSubalgebra.inf_coe
 
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_inst_1 _inst_2 _inst_3)))) s) _x)))))
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.Inf_coe_to_submodule LieSubalgebra.infₛ_coe_to_submoduleₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:366:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S} -/
 @[simp]
 theorem infₛ_coe_to_submodule (S : Set (LieSubalgebra R L)) :
@@ -527,6 +777,12 @@ theorem infₛ_coe_to_submodule (S : Set (LieSubalgebra R L)) :
   rfl
 #align lie_subalgebra.Inf_coe_to_submodule LieSubalgebra.infₛ_coe_to_submodule
 
+/- warning: lie_subalgebra.Inf_coe -> LieSubalgebra.infₛ_coe is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.Inf_coe LieSubalgebra.infₛ_coeₓ'. -/
 @[simp]
 theorem infₛ_coe (S : Set (LieSubalgebra R L)) : (↑(infₛ S) : Set L) = ⋂ s ∈ S, (s : Set L) :=
   by
@@ -535,6 +791,7 @@ theorem infₛ_coe (S : Set (LieSubalgebra R L)) : (↑(infₛ S) : Set L) = ⋂
   simpa only [mem_Inter, mem_set_of_eq, forall_apply_eq_imp_iff₂, exists_imp]
 #align lie_subalgebra.Inf_coe LieSubalgebra.infₛ_coe
 
+#print LieSubalgebra.infₛ_glb /-
 theorem infₛ_glb (S : Set (LieSubalgebra R L)) : IsGLB S (infₛ S) :=
   by
   have h : ∀ K K' : LieSubalgebra R L, (K : Set L) ≤ K' ↔ K ≤ K' :=
@@ -545,6 +802,7 @@ theorem infₛ_glb (S : Set (LieSubalgebra R L)) : IsGLB S (infₛ S) :=
   simp only [Inf_coe]
   exact isGLB_binfᵢ
 #align lie_subalgebra.Inf_glb LieSubalgebra.infₛ_glb
+-/
 
 /-- The set of Lie subalgebras of a Lie algebra form a complete lattice.
 
@@ -580,29 +838,59 @@ instance : CanonicallyOrderedAddMonoid (LieSubalgebra R L) :=
     exists_add_of_le := fun a b h => ⟨b, (sup_eq_right.2 h).symm⟩
     le_self_add := fun a b => le_sup_left }
 
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.add_eq_sup LieSubalgebra.add_eq_supₓ'. -/
 @[simp]
 theorem add_eq_sup : K + K' = K ⊔ K' :=
   rfl
 #align lie_subalgebra.add_eq_sup LieSubalgebra.add_eq_sup
 
+/- warning: lie_subalgebra.inf_coe_to_submodule -> LieSubalgebra.inf_coe_to_submodule is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.inf_coe_to_submodule LieSubalgebra.inf_coe_to_submoduleₓ'. -/
 @[norm_cast, simp]
 theorem inf_coe_to_submodule :
     (↑(K ⊓ K') : Submodule R L) = (K : Submodule R L) ⊓ (K' : Submodule R L) :=
   rfl
 #align lie_subalgebra.inf_coe_to_submodule LieSubalgebra.inf_coe_to_submodule
 
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.mem_inf LieSubalgebra.mem_infₓ'. -/
 @[simp]
 theorem mem_inf (x : L) : x ∈ K ⊓ K' ↔ x ∈ K ∧ x ∈ K' := by
   rw [← mem_coe_submodule, ← mem_coe_submodule, ← mem_coe_submodule, inf_coe_to_submodule,
     Submodule.mem_inf]
 #align lie_subalgebra.mem_inf LieSubalgebra.mem_inf
 
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.eq_bot_iff LieSubalgebra.eq_bot_iffₓ'. -/
 theorem eq_bot_iff : K = ⊥ ↔ ∀ x : L, x ∈ K → x = 0 :=
   by
   rw [eq_bot_iff]
   exact Iff.rfl
 #align lie_subalgebra.eq_bot_iff LieSubalgebra.eq_bot_iff
 
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.subsingleton_of_bot LieSubalgebra.subsingleton_of_botₓ'. -/
 instance subsingleton_of_bot : Subsingleton (LieSubalgebra R ↥(⊥ : LieSubalgebra R L)) :=
   by
   apply subsingleton_of_bot_eq_top
@@ -610,12 +898,24 @@ instance subsingleton_of_bot : Subsingleton (LieSubalgebra R ↥(⊥ : LieSubalg
   simp only [true_iff_iff, eq_self_iff_true, Submodule.mk_eq_zero, mem_bot]
 #align lie_subalgebra.subsingleton_of_bot LieSubalgebra.subsingleton_of_bot
 
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 theorem subsingleton_bot : Subsingleton ↥(⊥ : LieSubalgebra R L) :=
   show Subsingleton ((⊥ : LieSubalgebra R L) : Set L) by simp
 #align lie_subalgebra.subsingleton_bot LieSubalgebra.subsingleton_bot
 
 variable (R L)
 
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.well_founded_of_noetherian LieSubalgebra.wellFounded_of_noetherianₓ'. -/
 theorem wellFounded_of_noetherian [IsNoetherian R L] :
     WellFounded ((· > ·) : LieSubalgebra R L → LieSubalgebra R L → Prop) :=
   let f :
@@ -632,31 +932,67 @@ section NestedSubalgebras
 
 variable (h : K ≤ K')
 
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 /-- Given two nested Lie subalgebras `K ⊆ K'`, the inclusion `K ↪ K'` is a morphism of Lie
 algebras. -/
 def homOfLe : K →ₗ⁅R⁆ K' :=
   { Submodule.ofLe h with map_lie' := fun x y => rfl }
 #align lie_subalgebra.hom_of_le LieSubalgebra.homOfLe
 
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 @[simp]
 theorem coe_homOfLe (x : K) : (homOfLe h x : L) = x :=
   rfl
 #align lie_subalgebra.coe_hom_of_le LieSubalgebra.coe_homOfLe
 
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.hom_of_le_apply LieSubalgebra.homOfLe_applyₓ'. -/
 theorem homOfLe_apply (x : K) : homOfLe h x = ⟨x.1, h x.2⟩ :=
   rfl
 #align lie_subalgebra.hom_of_le_apply LieSubalgebra.homOfLe_apply
 
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.hom_of_le_injective LieSubalgebra.homOfLe_injectiveₓ'. -/
 theorem homOfLe_injective : Function.Injective (homOfLe h) := fun x y => by
   simp only [hom_of_le_apply, imp_self, Subtype.mk_eq_mk, SetLike.coe_eq_coe, Subtype.val_eq_coe]
 #align lie_subalgebra.hom_of_le_injective LieSubalgebra.homOfLe_injective
 
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.of_le LieSubalgebra.ofLeₓ'. -/
 /-- Given two nested Lie subalgebras `K ⊆ K'`, we can view `K` as a Lie subalgebra of `K'`,
 regarded as Lie algebra in its own right. -/
 def ofLe : LieSubalgebra R K' :=
   (homOfLe h).range
 #align lie_subalgebra.of_le LieSubalgebra.ofLe
 
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 @[simp]
 theorem mem_ofLe (x : K') : x ∈ ofLe h ↔ (x : L) ∈ K :=
   by
@@ -669,6 +1005,12 @@ theorem mem_ofLe (x : K') : x ∈ ofLe h ↔ (x : L) ∈ K :=
     simp
 #align lie_subalgebra.mem_of_le LieSubalgebra.mem_ofLe
 
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 theorem ofLe_eq_comap_incl : ofLe h = K.comap K'.incl :=
   by
   ext
@@ -676,17 +1018,35 @@ theorem ofLe_eq_comap_incl : ofLe h = K.comap K'.incl :=
   rfl
 #align lie_subalgebra.of_le_eq_comap_incl LieSubalgebra.ofLe_eq_comap_incl
 
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+but is expected to have type
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {K : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} {K' : LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3} (h : LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) K K'), Eq.{succ u2} (Submodule.{u1, u2} R (Subtype.{succ u2} L (fun (x : L) => Membership.mem.{u2, u2} L (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) L (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3)) x K')) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} 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 @[simp]
 theorem coe_ofLe : (ofLe h : Submodule R K') = (Submodule.ofLe h).range :=
   rfl
 #align lie_subalgebra.coe_of_le LieSubalgebra.coe_ofLe
 
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 /-- Given nested Lie subalgebras `K ⊆ K'`, there is a natural equivalence from `K` to its image in
 `K'`.  -/
 noncomputable def equivOfLe : K ≃ₗ⁅R⁆ ofLe h :=
   (homOfLe h).equivRangeOfInjective (homOfLe_injective h)
 #align lie_subalgebra.equiv_of_le LieSubalgebra.equivOfLe
 
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.equiv_of_le_apply LieSubalgebra.equivOfLe_applyₓ'. -/
 @[simp]
 theorem equivOfLe_apply (x : K) : equivOfLe h x = ⟨homOfLe h x, (homOfLe h).mem_range_self x⟩ :=
   rfl
@@ -694,11 +1054,23 @@ theorem equivOfLe_apply (x : K) : equivOfLe h x = ⟨homOfLe h x, (homOfLe h).me
 
 end NestedSubalgebras
 
+/- warning: lie_subalgebra.map_le_iff_le_comap -> LieSubalgebra.map_le_iff_le_comap 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_subalgebra.map_le_iff_le_comap LieSubalgebra.map_le_iff_le_comapₓ'. -/
 theorem map_le_iff_le_comap {K : LieSubalgebra R L} {K' : LieSubalgebra R L₂} :
     map f K ≤ K' ↔ K ≤ comap f K' :=
   Set.image_subset_iff
 #align lie_subalgebra.map_le_iff_le_comap LieSubalgebra.map_le_iff_le_comap
 
+/- warning: lie_subalgebra.gc_map_comap -> LieSubalgebra.gc_map_comap is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {L₂ : Type.{u3}} [_inst_4 : LieRing.{u3} L₂] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_4] {f : LieHom.{u1, u2, u3} R L L₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, GaloisConnection.{u2, u3} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3)) (PartialOrder.toPreorder.{u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5) (LieSubalgebra.partialOrder.{u1, u3} R L₂ _inst_1 _inst_4 _inst_5)) (LieSubalgebra.map.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f) (LieSubalgebra.comap.{u1, u2, u3} R L _inst_1 _inst_2 _inst_3 L₂ _inst_4 _inst_5 f)
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.gc_map_comap LieSubalgebra.gc_map_comapₓ'. -/
 theorem gc_map_comap : GaloisConnection (map f) (comap f) := fun K K' => map_le_iff_le_comap
 #align lie_subalgebra.gc_map_comap LieSubalgebra.gc_map_comap
 
@@ -708,20 +1080,25 @@ section LieSpan
 
 variable (R L) (s : Set L)
 
+#print LieSubalgebra.lieSpan /-
 /-- The Lie subalgebra of a Lie algebra `L` generated by a subset `s ⊆ L`. -/
 def lieSpan : LieSubalgebra R L :=
   infₛ { N | s ⊆ N }
 #align lie_subalgebra.lie_span LieSubalgebra.lieSpan
+-/
 
 variable {R L s}
 
+#print LieSubalgebra.mem_lieSpan /-
 theorem mem_lieSpan {x : L} : x ∈ lieSpan R L s ↔ ∀ K : LieSubalgebra R L, s ⊆ K → x ∈ K :=
   by
   change x ∈ (lie_span R L s : Set L) ↔ _
   erw [Inf_coe]
   exact Set.mem_interᵢ₂
 #align lie_subalgebra.mem_lie_span LieSubalgebra.mem_lieSpan
+-/
 
+#print LieSubalgebra.subset_lieSpan /-
 theorem subset_lieSpan : s ⊆ lieSpan R L s :=
   by
   intro m hm
@@ -729,13 +1106,22 @@ theorem subset_lieSpan : s ⊆ lieSpan R L s :=
   intro K hK
   exact hK hm
 #align lie_subalgebra.subset_lie_span LieSubalgebra.subset_lieSpan
+-/
 
+#print LieSubalgebra.submodule_span_le_lieSpan /-
 theorem submodule_span_le_lieSpan : Submodule.span R s ≤ lieSpan R L s :=
   by
   rw [Submodule.span_le]
   apply subset_lie_span
 #align lie_subalgebra.submodule_span_le_lie_span LieSubalgebra.submodule_span_le_lieSpan
+-/
 
+/- warning: lie_subalgebra.lie_span_le -> LieSubalgebra.lieSpan_le is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.lie_span_le LieSubalgebra.lieSpan_leₓ'. -/
 theorem lieSpan_le {K} : lieSpan R L s ≤ K ↔ s ⊆ K :=
   by
   constructor
@@ -745,16 +1131,25 @@ theorem lieSpan_le {K} : lieSpan R L s ≤ K ↔ s ⊆ K :=
     exact hm _ hs
 #align lie_subalgebra.lie_span_le LieSubalgebra.lieSpan_le
 
+/- warning: lie_subalgebra.lie_span_mono -> LieSubalgebra.lieSpan_mono is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {s : Set.{u2} L} {t : Set.{u2} L}, (HasSubset.Subset.{u2} (Set.{u2} L) (Set.hasSubset.{u2} L) s t) -> (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.partialOrder.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 s) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 t))
+but is expected to have type
+  forall {R : Type.{u1}} {L : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : LieRing.{u2} L] [_inst_3 : LieAlgebra.{u1, u2} R L _inst_1 _inst_2] {s : Set.{u2} L} {t : Set.{u2} L}, (HasSubset.Subset.{u2} (Set.{u2} L) (Set.instHasSubsetSet.{u2} L) s t) -> (LE.le.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (LieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3) (LieSubalgebra.instPartialOrderLieSubalgebra.{u1, u2} R L _inst_1 _inst_2 _inst_3))) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 s) (LieSubalgebra.lieSpan.{u1, u2} R L _inst_1 _inst_2 _inst_3 t))
+Case conversion may be inaccurate. Consider using '#align lie_subalgebra.lie_span_mono LieSubalgebra.lieSpan_monoₓ'. -/
 theorem lieSpan_mono {t : Set L} (h : s ⊆ t) : lieSpan R L s ≤ lieSpan R L t :=
   by
   rw [lie_span_le]
   exact Set.Subset.trans h subset_lie_span
 #align lie_subalgebra.lie_span_mono LieSubalgebra.lieSpan_mono
 
+#print LieSubalgebra.lieSpan_eq /-
 theorem lieSpan_eq : lieSpan R L (K : Set L) = K :=
   le_antisymm (lieSpan_le.mpr rfl.Subset) subset_lieSpan
 #align lie_subalgebra.lie_span_eq LieSubalgebra.lieSpan_eq
+-/
 
+#print LieSubalgebra.coe_lieSpan_submodule_eq_iff /-
 theorem coe_lieSpan_submodule_eq_iff {p : Submodule R L} :
     (lieSpan R L (p : Set L) : Submodule R L) = p ↔ ∃ K : LieSubalgebra R L, ↑K = p :=
   by
@@ -764,9 +1159,16 @@ theorem coe_lieSpan_submodule_eq_iff {p : Submodule R L} :
     exact lie_mem _ (subset_lie_span hm)
   · rw [← coe_to_submodule_mk p h, coe_to_submodule, coe_to_submodule_eq_iff, lie_span_eq]
 #align lie_subalgebra.coe_lie_span_submodule_eq_iff LieSubalgebra.coe_lieSpan_submodule_eq_iff
+-/
 
 variable (R L)
 
+/- warning: lie_subalgebra.gi -> LieSubalgebra.gi is a dubious translation:
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 /-- `lie_span` forms a Galois insertion with the coercion from `lie_subalgebra` to `set`. -/
 protected def gi : GaloisInsertion (lieSpan R L : Set L → LieSubalgebra R L) coe
     where
@@ -776,11 +1178,23 @@ protected def gi : GaloisInsertion (lieSpan R L : Set L → LieSubalgebra R L) c
   choice_eq s h := rfl
 #align lie_subalgebra.gi LieSubalgebra.gi
 
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 @[simp]
 theorem span_empty : lieSpan R L (∅ : Set L) = ⊥ :=
   (LieSubalgebra.gi R L).gc.l_bot
 #align lie_subalgebra.span_empty LieSubalgebra.span_empty
 
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 @[simp]
 theorem span_univ : lieSpan R L (Set.univ : Set L) = ⊤ :=
   eq_top_iff.2 <| SetLike.le_def.2 <| subset_lieSpan
@@ -788,10 +1202,22 @@ theorem span_univ : lieSpan R L (Set.univ : Set L) = ⊤ :=
 
 variable {L}
 
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 theorem span_union (s t : Set L) : lieSpan R L (s ∪ t) = lieSpan R L s ⊔ lieSpan R L t :=
   (LieSubalgebra.gi R L).gc.l_sup
 #align lie_subalgebra.span_union LieSubalgebra.span_union
 
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 theorem span_unionᵢ {ι} (s : ι → Set L) : lieSpan R L (⋃ i, s i) = ⨆ i, lieSpan R L (s i) :=
   (LieSubalgebra.gi R L).gc.l_supᵢ
 #align lie_subalgebra.span_Union LieSubalgebra.span_unionᵢ
@@ -808,6 +1234,12 @@ variable {R : Type u} {L₁ : Type v} {L₂ : Type w}
 
 variable [CommRing R] [LieRing L₁] [LieRing L₂] [LieAlgebra R L₁] [LieAlgebra R L₂]
 
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 /-- An injective Lie algebra morphism is an equivalence onto its range. -/
 noncomputable def ofInjective (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Injective f) : L₁ ≃ₗ⁅R⁆ f.range :=
   { LinearEquiv.ofInjective (f : L₁ →ₗ[R] L₂) <| by rwa [LieHom.coe_toLinearMap] with
@@ -816,6 +1248,12 @@ noncomputable def ofInjective (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Inject
       simpa }
 #align lie_equiv.of_injective LieEquiv.ofInjective
 
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+Case conversion may be inaccurate. Consider using '#align lie_equiv.of_injective_apply LieEquiv.ofInjective_applyₓ'. -/
 @[simp]
 theorem ofInjective_apply (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Injective f) (x : L₁) :
     ↑(ofInjective f h x) = f x :=
@@ -824,6 +1262,12 @@ theorem ofInjective_apply (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Injective
 
 variable (L₁' L₁'' : LieSubalgebra R L₁) (L₂' : LieSubalgebra R L₂)
 
+/- warning: lie_equiv.of_eq -> LieEquiv.ofEq is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_equiv.of_eq LieEquiv.ofEqₓ'. -/
 /-- Lie subalgebras that are equal as sets are equivalent as Lie algebras. -/
 def ofEq (h : (L₁' : Set L₁) = L₁'') : L₁' ≃ₗ⁅R⁆ L₁'' :=
   {
@@ -837,6 +1281,12 @@ def ofEq (h : (L₁' : Set L₁) = L₁'') : L₁' ≃ₗ⁅R⁆ L₁'' :=
       simp }
 #align lie_equiv.of_eq LieEquiv.ofEq
 
+/- warning: lie_equiv.of_eq_apply -> LieEquiv.ofEq_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align lie_equiv.of_eq_apply LieEquiv.ofEq_applyₓ'. -/
 @[simp]
 theorem ofEq_apply (L L' : LieSubalgebra R L₁) (h : (L : Set L₁) = L') (x : L) :
     (↑(ofEq L L' h x) : L₁) = x :=
@@ -845,6 +1295,12 @@ theorem ofEq_apply (L L' : LieSubalgebra R L₁) (h : (L : Set L₁) = L') (x :
 
 variable (e : L₁ ≃ₗ⁅R⁆ L₂)
 
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 /-- An equivalence of Lie algebras restricts to an equivalence from any Lie subalgebra onto its
 image. -/
 def lieSubalgebraMap : L₁'' ≃ₗ⁅R⁆ (L₁''.map e : LieSubalgebra R L₂) :=
@@ -854,11 +1310,23 @@ def lieSubalgebraMap : L₁'' ≃ₗ⁅R⁆ (L₁''.map e : LieSubalgebra R L₂
       exact LieHom.map_lie (↑e : L₁ →ₗ⁅R⁆ L₂) ↑x ↑y }
 #align lie_equiv.lie_subalgebra_map LieEquiv.lieSubalgebraMap
 
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+Case conversion may be inaccurate. Consider using '#align lie_equiv.lie_subalgebra_map_apply LieEquiv.lieSubalgebraMap_applyₓ'. -/
 @[simp]
 theorem lieSubalgebraMap_apply (x : L₁'') : ↑(e.lieSubalgebraMap _ x) = e x :=
   rfl
 #align lie_equiv.lie_subalgebra_map_apply LieEquiv.lieSubalgebraMap_apply
 
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 /-- An equivalence of Lie algebras restricts to an equivalence from any Lie subalgebra onto its
 image. -/
 def ofSubalgebras (h : L₁'.map ↑e = L₂') : L₁' ≃ₗ⁅R⁆ L₂' :=
@@ -872,11 +1340,23 @@ def ofSubalgebras (h : L₁'.map ↑e = L₂') : L₁' ≃ₗ⁅R⁆ L₂' :=
       exact LieHom.map_lie (↑e : L₁ →ₗ⁅R⁆ L₂) ↑x ↑y }
 #align lie_equiv.of_subalgebras LieEquiv.ofSubalgebras
 
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 @[simp]
 theorem ofSubalgebras_apply (h : L₁'.map ↑e = L₂') (x : L₁') : ↑(e.ofSubalgebras _ _ h x) = e x :=
   rfl
 #align lie_equiv.of_subalgebras_apply LieEquiv.ofSubalgebras_apply
 
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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 : LieRing.{u3} L₂] [_inst_4 : LieAlgebra.{u1, u2} R L₁ _inst_1 _inst_2] [_inst_5 : LieAlgebra.{u1, u3} R L₂ _inst_1 _inst_3] (L₁' : LieSubalgebra.{u1, u2} R L₁ _inst_1 _inst_2 _inst_4) (L₂' : LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) (e : LieEquiv.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_4 _inst_3 _inst_5) (h : Eq.{succ u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) (LieSubalgebra.map.{u1, u2, u3} R L₁ _inst_1 _inst_2 _inst_4 L₂ _inst_3 _inst_5 (LieEquiv.toLieHom.{u1, u2, u3} R L₁ L₂ _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 e) L₁') L₂') (x : Subtype.{succ u3} L₂ (fun (x : L₂) => Membership.mem.{u3, u3} L₂ (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) (SetLike.instMembership.{u3, u3} (LieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) L₂ (LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5)) x L₂')), 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(LieSubalgebra.instSetLikeLieSubalgebra.{u1, u3} R L₂ _inst_1 _inst_3 _inst_5) L₂')) x))
+Case conversion may be inaccurate. Consider using '#align lie_equiv.of_subalgebras_symm_apply LieEquiv.ofSubalgebras_symm_applyₓ'. -/
 @[simp]
 theorem ofSubalgebras_symm_apply (h : L₁'.map ↑e = L₂') (x : L₂') :
     ↑((e.ofSubalgebras _ _ h).symm x) = e.symm x :=
Diff
@@ -500,12 +500,12 @@ instance : Inf (LieSubalgebra R L) :=
     { (K ⊓ K' : Submodule R L) with
       lie_mem' := fun x y hx hy => mem_inter (K.lie_mem hx.1 hy.1) (K'.lie_mem hx.2 hy.2) }⟩
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:370:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S} -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:366:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S} -/
 instance : InfSet (LieSubalgebra R L) :=
   ⟨fun S =>
     {
       infₛ
-        "./././Mathport/Syntax/Translate/Expr.lean:370:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S}" with
+        "./././Mathport/Syntax/Translate/Expr.lean:366:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S}" with
       lie_mem' := fun x y hx hy =>
         by
         simp only [Submodule.mem_carrier, mem_Inter, Submodule.infₛ_coe, mem_set_of_eq,
@@ -518,12 +518,12 @@ theorem inf_coe : (↑(K ⊓ K') : Set L) = K ∩ K' :=
   rfl
 #align lie_subalgebra.inf_coe LieSubalgebra.inf_coe
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:370:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S} -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:366:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S} -/
 @[simp]
 theorem infₛ_coe_to_submodule (S : Set (LieSubalgebra R L)) :
     (↑(infₛ S) : Submodule R L) =
       infₛ
-        "./././Mathport/Syntax/Translate/Expr.lean:370:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S}" :=
+        "./././Mathport/Syntax/Translate/Expr.lean:366:4: unsupported set replacement {((s : submodule R L)) | s «expr ∈ » S}" :=
   rfl
 #align lie_subalgebra.Inf_coe_to_submodule LieSubalgebra.infₛ_coe_to_submodule
 
Diff
@@ -495,7 +495,7 @@ theorem LieHom.range_eq_map : f.range = map f ⊤ :=
   simp
 #align lie_hom.range_eq_map LieHom.range_eq_map
 
-instance : HasInf (LieSubalgebra R L) :=
+instance : Inf (LieSubalgebra R L) :=
   ⟨fun K K' =>
     { (K ⊓ K' : Submodule R L) with
       lie_mem' := fun x y hx hy => mem_inter (K.lie_mem hx.1 hy.1) (K'.lie_mem hx.2 hy.2) }⟩
Diff
@@ -810,7 +810,7 @@ variable [CommRing R] [LieRing L₁] [LieRing L₂] [LieAlgebra R L₁] [LieAlge
 
 /-- An injective Lie algebra morphism is an equivalence onto its range. -/
 noncomputable def ofInjective (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Injective f) : L₁ ≃ₗ⁅R⁆ f.range :=
-  { LinearEquiv.ofInjective (f : L₁ →ₗ[R] L₂) <| by rwa [LieHom.coe_to_linearMap] with
+  { LinearEquiv.ofInjective (f : L₁ →ₗ[R] L₂) <| by rwa [LieHom.coe_toLinearMap] with
     map_lie' := fun x y => by
       apply SetCoe.ext
       simpa }

Changes in mathlib4

mathlib3
mathlib4
feat(Algebra/Lie): define derivations on Lie algebras (#11790)

This defines derivations on Lie algebras. The current definition of Derivation is restricted to commutative associative algebras, and thus cannot be used to manipulate derivations on Lie algebras. As discussed in this Zulip thread, we thus give a parallel definition of a LieDerivation structure, which is specific to derivations on Lie algebras.

This PR is focused on the definition of this structure and the first associated properties. It adds a new file Algebra.Lie.Derivation.Basic which was mostly obtained by a large copy-paste of file RingTheory.Derivation.Basic. I report below the changes I made with respect to this other version.

  • Remove all #align directives
  • Adapt import statements
  • Add new definition of LieDerivation
  • Replace namespace Derivation with namespace LieDerivation
  • Remove open Algebra
  • Replace Algebra A with LieAlgebra L everywhere
  • Replace Derivation R A M with LieDerivation R L M everywhere
  • Delete field map_one_eq_zero' in instances, since we don't require it in the definition of Lie derivation
  • Adjust simp only tactics for leibniz' field in instances
  • Add lemma apply_lie_eq_add to restore usual Leibniz rule in Lie algebras (since our definition relies on left actions, so has a minus sign).
  • There is no unit 1 in a Lie algebra. We delete all related theorems
    • map_one_eq_zero (there is no 1 in a Lie algebra)
    • map_coe_nat (there is no "n : Nat" in a Lie algebra)
    • map_coe_int (there is no "n : Int" in a Lie algebra)
    • leibniz_pow (there is "power" in a Lie algebra)
    • leibniz_of_mul_eq_one (there is no [a,b]= 1 in a Lie algebra)
    • leibniz_inv and leibniz_invOf (no inverse in a Lie algebra)
    • map_algebraMap (no scalars in the Lie algebra)
  • Derivation has an mk' constructor to bypass the map_one_eq_zero' field in an AddCancelCommMonoid M. Since we don't require this property for Lie derivations, we delete everything related: mk', coe_mk', coe_mk'_linearMap (the whole section Cancel)
  • Derivations have a theorem eqOn_adjoin to prove that if two derivations are equal on a set, they are equal on the subalgebra spanned by this set. We write it as eqOn_lieSpan. Since the proof of this result relied on an induction principle RingTheory.Adjoin.Basic.adjoin_induction, we needed a similar principle for Lie spans. We added it as the Algebra.Lie.Submodule.lieSpan_induction theorem in the Algebra.Lie.Submodule file.
  • Add a SMulBracketCommClass class to encode commutativity of scalar multiplication and left Lie action (as a substitute for SMulCommClass S L M), see section Scalar. Introduce instances for S = Nat and S = Int.
  • Unwrap useless section, useless variables
  • Delete compAlgebraMap theorem, related with a tower of algebras, since a Lie algebra cannot serve as a scalar field for another one.
  • Delete section Pushforward (and everything inside), as it was related to composing an A-linear map with a derivation. While this works when A is an associative algebra, one cannot use a Lie algebra in this role since it is not associative.
  • Could not figure out what the equivalent instance of IsCentralScalar S (Derivation R A M) for a Lie derivation should be, so I skipped this instance.
Diff
@@ -747,6 +747,21 @@ theorem span_iUnion {ι} (s : ι → Set L) : lieSpan R L (⋃ i, s i) = ⨆ i,
   (LieSubalgebra.gi R L).gc.l_iSup
 #align lie_subalgebra.span_Union LieSubalgebra.span_iUnion
 
+/-- If a predicate `p` is true on some set `s ⊆ L`, true for `0`, stable by scalar multiplication,
+by addition and by Lie bracket, then the predicate is true on the Lie span of `s`. (Since `s` can be
+empty, and the Lie span always contains `0`, the assumption that `p 0` holds cannot be removed.) -/
+@[elab_as_elim]
+theorem lieSpan_induction {p : L → Prop} {x : L} (h : x ∈ lieSpan R L s) (mem : ∀ x ∈ s, p x)
+    (zero : p 0) (smul : ∀ (r : R), ∀ {x : L}, p x → p (r • x))
+    (add : ∀ x y, p x → p y → p (x + y)) (lie : ∀ x y, p x → p y → p ⁅x, y⁆) : p x :=
+  let S : LieSubalgebra R L :=
+    { carrier := p
+      add_mem' := add _ _
+      zero_mem' := zero
+      smul_mem' := smul
+      lie_mem' := lie _ _ }
+  lieSpan_le.mpr (show s ≤ S from mem) h
+
 end LieSpan
 
 end LieSubalgebra
chore(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


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

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

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

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)
Diff
@@ -228,7 +228,6 @@ theorem coe_to_submodule : ((L' : Submodule R L) : Set L) = L' :=
 section LieModule
 
 variable {M : Type w} [AddCommGroup M] [LieRingModule L M]
-
 variable {N : Type w₁} [AddCommGroup N] [LieRingModule L N] [Module R N] [LieModule R L N]
 
 /-- Given a Lie algebra `L` containing a Lie subalgebra `L' ⊆ L`, together with a Lie ring module
@@ -757,7 +756,6 @@ end LieSubalgebra
 namespace LieEquiv
 
 variable {R : Type u} {L₁ : Type v} {L₂ : Type w}
-
 variable [CommRing R] [LieRing L₁] [LieRing L₂] [LieAlgebra R L₁] [LieAlgebra R L₂]
 
 /-- An injective Lie algebra morphism is an equivalence onto its range. -/
refactor: do not allow nsmul and zsmul to default automatically (#6262)

This PR removes the default values for nsmul and zsmul, forcing the user to populate them manually. The previous behavior can be obtained by writing nsmul := nsmulRec and zsmul := zsmulRec, which is now in the docstring for these fields.

The motivation here is to make it more obvious when module diamonds are being introduced, or at least where they might be hiding; you can now simply search for nsmulRec in the source code.

Arguably we should do the same thing for intCast, natCast, pow, and zpow too, but diamonds are less common in those fields, so I'll leave them to a subsequent PR.

Co-authored-by: Matthew Ballard <matt@mrb.email>

Diff
@@ -525,14 +525,16 @@ instance completeLattice : CompleteLattice (LieSubalgebra R L) :=
     inf_le_left := fun _ _ _ ↦ And.left
     inf_le_right := fun _ _ _ ↦ And.right }
 
-instance addCommMonoid : AddCommMonoid (LieSubalgebra R L)
-    where
-  add := (· ⊔ ·)
+instance : Add (LieSubalgebra R L) where add := Sup.sup
+
+instance : Zero (LieSubalgebra R L) where zero := ⊥
+
+instance addCommMonoid : AddCommMonoid (LieSubalgebra R L) where
   add_assoc := sup_assoc
-  zero := ⊥
   zero_add := bot_sup_eq
   add_zero := sup_bot_eq
   add_comm := sup_comm
+  nsmul := nsmulRec
 
 instance : CanonicallyOrderedAddCommMonoid (LieSubalgebra R L) :=
   { LieSubalgebra.addCommMonoid,
chore(Order): Make more arguments explicit (#11033)

Those lemmas have historically been very annoying to use in rw since all their arguments were implicit. One too many people complained about it on Zulip, so I'm changing them.

Downstream code broken by this change can fix it by adding appropriately many _s.

Also marks CauSeq.ext @[ext].

Order.BoundedOrder

  • top_sup_eq
  • sup_top_eq
  • bot_sup_eq
  • sup_bot_eq
  • top_inf_eq
  • inf_top_eq
  • bot_inf_eq
  • inf_bot_eq

Order.Lattice

  • sup_idem
  • sup_comm
  • sup_assoc
  • sup_left_idem
  • sup_right_idem
  • inf_idem
  • inf_comm
  • inf_assoc
  • inf_left_idem
  • inf_right_idem
  • sup_inf_left
  • sup_inf_right
  • inf_sup_left
  • inf_sup_right

Order.MinMax

  • max_min_distrib_left
  • max_min_distrib_right
  • min_max_distrib_left
  • min_max_distrib_right

Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

Diff
@@ -528,11 +528,11 @@ instance completeLattice : CompleteLattice (LieSubalgebra R L) :=
 instance addCommMonoid : AddCommMonoid (LieSubalgebra R L)
     where
   add := (· ⊔ ·)
-  add_assoc _ _ _ := sup_assoc
+  add_assoc := sup_assoc
   zero := ⊥
-  zero_add _ := bot_sup_eq
-  add_zero _ := sup_bot_eq
-  add_comm _ _ := sup_comm
+  zero_add := bot_sup_eq
+  add_zero := sup_bot_eq
+  add_comm := sup_comm
 
 instance : CanonicallyOrderedAddCommMonoid (LieSubalgebra R L) :=
   { LieSubalgebra.addCommMonoid,
chore: move to v4.6.0-rc1, merging adaptations from bump/v4.6.0 (#10176)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Joachim Breitner <mail@joachim-breitner.de>

Diff
@@ -193,7 +193,6 @@ theorem mk_coe (S : Set L) (h₁ h₂ h₃ h₄) :
   rfl
 #align lie_subalgebra.mk_coe LieSubalgebra.mk_coe
 
-@[simp]
 theorem coe_to_submodule_mk (p : Submodule R L) (h) :
     (({ p with lie_mem' := h } : LieSubalgebra R L) : Submodule R L) = p := by
   cases p
chore(*): replace $ with <| (#9319)

See Zulip thread for the discussion.

Diff
@@ -762,7 +762,7 @@ variable [CommRing R] [LieRing L₁] [LieRing L₂] [LieAlgebra R L₁] [LieAlge
 /-- An injective Lie algebra morphism is an equivalence onto its range. -/
 noncomputable def ofInjective (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Injective f) : L₁ ≃ₗ⁅R⁆ f.range :=
   { LinearEquiv.ofInjective (f : L₁ →ₗ[R] L₂) <| by rwa [LieHom.coe_toLinearMap] with
-    map_lie' := @fun x y ↦ SetCoe.ext $ f.map_lie x y }
+    map_lie' := @fun x y ↦ SetCoe.ext <| f.map_lie x y }
 #align lie_equiv.of_injective LieEquiv.ofInjective
 
 @[simp]
refactor: rename Submodule.ofLe to Submodule.inclusion (#8470)

This matches Set.inclusion, Subring.inclusion, Subalgebra.inclusion, etc.

Also renames the homOfLe spellings in Algebra/Lie to match.

Note that we leave LieSubalgebra.ofLe, as this is a completely different statement!

As requested by @alreadydone.

Diff
@@ -594,32 +594,32 @@ variable (h : K ≤ K')
 
 /-- Given two nested Lie subalgebras `K ⊆ K'`, the inclusion `K ↪ K'` is a morphism of Lie
 algebras. -/
-def homOfLe : K →ₗ⁅R⁆ K' :=
-  { Submodule.ofLe h with map_lie' := @fun _ _ ↦ rfl }
-#align lie_subalgebra.hom_of_le LieSubalgebra.homOfLe
+def inclusion : K →ₗ⁅R⁆ K' :=
+  { Submodule.inclusion h with map_lie' := @fun _ _ ↦ rfl }
+#align lie_subalgebra.hom_of_le LieSubalgebra.inclusion
 
 @[simp]
-theorem coe_homOfLe (x : K) : (homOfLe h x : L) = x :=
+theorem coe_inclusion (x : K) : (inclusion h x : L) = x :=
   rfl
-#align lie_subalgebra.coe_hom_of_le LieSubalgebra.coe_homOfLe
+#align lie_subalgebra.coe_hom_of_le LieSubalgebra.coe_inclusion
 
-theorem homOfLe_apply (x : K) : homOfLe h x = ⟨x.1, h x.2⟩ :=
+theorem inclusion_apply (x : K) : inclusion h x = ⟨x.1, h x.2⟩ :=
   rfl
-#align lie_subalgebra.hom_of_le_apply LieSubalgebra.homOfLe_apply
+#align lie_subalgebra.hom_of_le_apply LieSubalgebra.inclusion_apply
 
-theorem homOfLe_injective : Function.Injective (homOfLe h) := fun x y ↦ by
-  simp only [homOfLe_apply, imp_self, Subtype.mk_eq_mk, SetLike.coe_eq_coe]
-#align lie_subalgebra.hom_of_le_injective LieSubalgebra.homOfLe_injective
+theorem inclusion_injective : Function.Injective (inclusion h) := fun x y ↦ by
+  simp only [inclusion_apply, imp_self, Subtype.mk_eq_mk, SetLike.coe_eq_coe]
+#align lie_subalgebra.hom_of_le_injective LieSubalgebra.inclusion_injective
 
 /-- Given two nested Lie subalgebras `K ⊆ K'`, we can view `K` as a Lie subalgebra of `K'`,
 regarded as Lie algebra in its own right. -/
 def ofLe : LieSubalgebra R K' :=
-  (homOfLe h).range
+  (inclusion h).range
 #align lie_subalgebra.of_le LieSubalgebra.ofLe
 
 @[simp]
 theorem mem_ofLe (x : K') : x ∈ ofLe h ↔ (x : L) ∈ K := by
-  simp only [ofLe, homOfLe_apply, LieHom.mem_range]
+  simp only [ofLe, inclusion_apply, LieHom.mem_range]
   constructor
   · rintro ⟨y, rfl⟩
     exact y.property
@@ -634,18 +634,18 @@ theorem ofLe_eq_comap_incl : ofLe h = K.comap K'.incl := by
 #align lie_subalgebra.of_le_eq_comap_incl LieSubalgebra.ofLe_eq_comap_incl
 
 @[simp]
-theorem coe_ofLe : (ofLe h : Submodule R K') = LinearMap.range (Submodule.ofLe h) :=
+theorem coe_ofLe : (ofLe h : Submodule R K') = LinearMap.range (Submodule.inclusion h) :=
   rfl
 #align lie_subalgebra.coe_of_le LieSubalgebra.coe_ofLe
 
 /-- Given nested Lie subalgebras `K ⊆ K'`, there is a natural equivalence from `K` to its image in
 `K'`.  -/
 noncomputable def equivOfLe : K ≃ₗ⁅R⁆ ofLe h :=
-  (homOfLe h).equivRangeOfInjective (homOfLe_injective h)
+  (inclusion h).equivRangeOfInjective (inclusion_injective h)
 #align lie_subalgebra.equiv_of_le LieSubalgebra.equivOfLe
 
 @[simp]
-theorem equivOfLe_apply (x : K) : equivOfLe h x = ⟨homOfLe h x, (homOfLe h).mem_range_self x⟩ :=
+theorem equivOfLe_apply (x : K) : equivOfLe h x = ⟨inclusion h x, (inclusion h).mem_range_self x⟩ :=
   rfl
 #align lie_subalgebra.equiv_of_le_apply LieSubalgebra.equivOfLe_apply
 
chore: rename CanonicallyOrderedAddMonoid to ..AddCommMonoid (#7503)

Renames:

CanonicallyOrderedMonoid -> CanonicallyOrderedCommMonoid

CanonicallyOrderedAddMonoid -> CanonicallyOrderedAddCommMonoid

CanonicallyLinearOrderedMonoid -> CanonicallyLinearOrderedCommMonoid

CanonicallyLinearOrderedAddMonoid -> CanonicallyLinearOrderedAddCommMonoid

Diff
@@ -535,7 +535,7 @@ instance addCommMonoid : AddCommMonoid (LieSubalgebra R L)
   add_zero _ := sup_bot_eq
   add_comm _ _ := sup_comm
 
-instance : CanonicallyOrderedAddMonoid (LieSubalgebra R L) :=
+instance : CanonicallyOrderedAddCommMonoid (LieSubalgebra R L) :=
   { LieSubalgebra.addCommMonoid,
     LieSubalgebra.completeLattice with
     add_le_add_left := fun _a _b ↦ sup_le_sup_left
style: fix wrapping of where (#7149)
Diff
@@ -116,8 +116,8 @@ instance (L' : LieSubalgebra R L) [IsNoetherian R L] : IsNoetherian R L' :=
 end
 
 /-- A Lie subalgebra forms a new Lie algebra. -/
-instance lieAlgebra (L' : LieSubalgebra R L) : LieAlgebra R L'
-    where lie_smul := by
+instance lieAlgebra (L' : LieSubalgebra R L) : LieAlgebra R L' where
+  lie_smul := by
     { intros
       apply SetCoe.ext
       apply lie_smul }
chore: banish Type _ and Sort _ (#6499)

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

This has nice performance benefits.

Diff
@@ -95,7 +95,7 @@ instance lieRing (L' : LieSubalgebra R L) : LieRing L'
 
 section
 
-variable {R₁ : Type _} [Semiring R₁]
+variable {R₁ : Type*} [Semiring R₁]
 
 /-- A Lie subalgebra inherits module structures from `L`. -/
 instance [SMul R₁ R] [Module R₁ L] [IsScalarTower R₁ R L] (L' : LieSubalgebra R L) : Module R₁ L' :=
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

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

Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2021 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.subalgebra
-! leanprover-community/mathlib commit 6d584f1709bedbed9175bd9350df46599bdd7213
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Lie.Basic
 import Mathlib.RingTheory.Noetherian
 
+#align_import algebra.lie.subalgebra from "leanprover-community/mathlib"@"6d584f1709bedbed9175bd9350df46599bdd7213"
+
 /-!
 # Lie subalgebras
 
chore: fix grammar 1/3 (#5001)

All of these are doc fixes

Diff
@@ -42,7 +42,7 @@ variable (R : Type u) (L : Type v) [CommRing R] [LieRing L] [LieAlgebra R L]
 /-- A Lie subalgebra of a Lie algebra is submodule that is closed under the Lie bracket.
 This is a sufficient condition for the subset itself to form a Lie algebra. -/
 structure LieSubalgebra extends Submodule R L where
-  /-- An Lie subalgebra is closed under Lie bracket. -/
+  /-- A Lie subalgebra is closed under Lie bracket. -/
   lie_mem' : ∀ {x y}, x ∈ carrier → y ∈ carrier → ⁅x, y⁆ ∈ carrier
 #align lie_subalgebra LieSubalgebra
 
feat: port Algebra.Lie.Submodule (#3045)

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>

Diff
@@ -76,7 +76,7 @@ instance : AddSubgroupClass (LieSubalgebra R L) L
   neg_mem {L'} x hx := show -x ∈ (L' : Submodule R L) from neg_mem hx
 
 /-- A Lie subalgebra forms a new Lie ring. -/
-instance (L' : LieSubalgebra R L) : LieRing L'
+instance lieRing (L' : LieSubalgebra R L) : LieRing L'
     where
   bracket x y := ⟨⁅x.val, y.val⁆, L'.lie_mem' x.property y.property⟩
   lie_add := by
@@ -119,7 +119,7 @@ instance (L' : LieSubalgebra R L) [IsNoetherian R L] : IsNoetherian R L' :=
 end
 
 /-- A Lie subalgebra forms a new Lie algebra. -/
-instance (L' : LieSubalgebra R L) : LieAlgebra R L'
+instance lieAlgebra (L' : LieSubalgebra R L) : LieAlgebra R L'
     where lie_smul := by
     { intros
       apply SetCoe.ext
@@ -237,7 +237,7 @@ variable {N : Type w₁} [AddCommGroup N] [LieRingModule L N] [Module R N] [LieM
 
 /-- Given a Lie algebra `L` containing a Lie subalgebra `L' ⊆ L`, together with a Lie ring module
 `M` of `L`, we may regard `M` as a Lie ring module of `L'` by restriction. -/
-instance : LieRingModule L' M where
+instance lieRingModule : LieRingModule L' M where
   bracket x m := ⁅(x : L), m⁆
   add_lie x y m := add_lie (x : L) y m
   lie_add x y m := lie_add (x : L) y m
@@ -252,7 +252,7 @@ variable [Module R M] [LieModule R L M]
 
 /-- Given a Lie algebra `L` containing a Lie subalgebra `L' ⊆ L`, together with a Lie module `M` of
 `L`, we may regard `M` as a Lie module of `L'` by restriction. -/
-instance : LieModule R L' M
+instance lieModule : LieModule R L' M
     where
   smul_lie t x m := by simp only [coe_bracket_of_module, smul_lie, Submodule.coe_smul_of_tower]
   lie_smul t x m := by simp only [coe_bracket_of_module, lie_smul]
chore: delete 2074 references (#4030)
Diff
@@ -257,9 +257,6 @@ instance : LieModule R L' M
   smul_lie t x m := by simp only [coe_bracket_of_module, smul_lie, Submodule.coe_smul_of_tower]
   lie_smul t x m := by simp only [coe_bracket_of_module, lie_smul]
 
--- Porting note: Needed because we don't have η for classes. (lean4#2074)
-attribute [-instance] Ring.toNonAssocRing
-
 /-- An `L`-equivariant map of Lie modules `M → N` is `L'`-equivariant for any Lie subalgebra
 `L' ⊆ L`. -/
 def _root_.LieModuleHom.restrictLie (f : M →ₗ⁅R,L⁆ N) (L' : LieSubalgebra R L) : M →ₗ⁅R,L'⁆ N :=
@@ -303,9 +300,6 @@ variable (f : L →ₗ⁅R⁆ L₂)
 
 namespace LieHom
 
--- Porting note: Needed because we don't have η for classes. (lean4#2074)
-attribute [-instance] Ring.toNonAssocRing
-
 /-- The range of a morphism of Lie algebras is a Lie subalgebra. -/
 def range : LieSubalgebra R L₂ :=
   { LinearMap.range (f : L →ₗ[R] L₂) with
@@ -383,9 +377,6 @@ theorem incl_range : K.incl.range = K := by
   exact (K : Submodule R L).range_subtype
 #align lie_subalgebra.incl_range LieSubalgebra.incl_range
 
--- Porting note: Needed because we don't have η for classes. (lean4#2074)
-attribute [-instance] Ring.toNonAssocRing
-
 /-- The image of a Lie subalgebra under a Lie algebra morphism is a Lie subalgebra of the
 codomain. -/
 def map : LieSubalgebra R L₂ :=
@@ -771,9 +762,6 @@ variable {R : Type u} {L₁ : Type v} {L₂ : Type w}
 
 variable [CommRing R] [LieRing L₁] [LieRing L₂] [LieAlgebra R L₁] [LieAlgebra R L₂]
 
--- Porting note: Needed because we don't have η for classes. (lean4#2074)
-attribute [-instance] Ring.toNonAssocRing
-
 /-- An injective Lie algebra morphism is an equivalence onto its range. -/
 noncomputable def ofInjective (f : L₁ →ₗ⁅R⁆ L₂) (h : Function.Injective f) : L₁ ≃ₗ⁅R⁆ f.range :=
   { LinearEquiv.ofInjective (f : L₁ →ₗ[R] L₂) <| by rwa [LieHom.coe_toLinearMap] with
chore: Rename to sSup/iSup (#3938)

As discussed on Zulip

Renames

  • supₛsSup
  • infₛsInf
  • supᵢiSup
  • infᵢiInf
  • bsupₛbsSup
  • binfₛbsInf
  • bsupᵢbiSup
  • binfᵢbiInf
  • csupₛcsSup
  • cinfₛcsInf
  • csupᵢciSup
  • cinfᵢciInf
  • unionₛsUnion
  • interₛsInter
  • unionᵢiUnion
  • interᵢiInter
  • bunionₛbsUnion
  • binterₛbsInter
  • bunionᵢbiUnion
  • binterᵢbiInter

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

Diff
@@ -486,9 +486,9 @@ instance : Inf (LieSubalgebra R L) :=
 
 instance : InfSet (LieSubalgebra R L) :=
   ⟨fun S ↦
-    { infₛ {(s : Submodule R L) | s ∈ S} with
+    { sInf {(s : Submodule R L) | s ∈ S} with
       lie_mem' := @fun x y hx hy ↦ by
-        simp only [Submodule.mem_carrier, mem_interᵢ, Submodule.infₛ_coe, mem_setOf_eq,
+        simp only [Submodule.mem_carrier, mem_iInter, Submodule.sInf_coe, mem_setOf_eq,
           forall_apply_eq_imp_iff₂, exists_imp, and_imp] at hx hy ⊢
         intro K hK
         exact K.lie_mem (hx K hK) (hy K hK) }⟩
@@ -499,33 +499,33 @@ theorem inf_coe : (↑(K ⊓ K') : Set L) = (K : Set L) ∩ (K' : Set L) :=
 #align lie_subalgebra.inf_coe LieSubalgebra.inf_coe
 
 @[simp]
-theorem infₛ_coe_to_submodule (S : Set (LieSubalgebra R L)) :
-    (↑(infₛ S) : Submodule R L) = infₛ {(s : Submodule R L) | s ∈ S} :=
+theorem sInf_coe_to_submodule (S : Set (LieSubalgebra R L)) :
+    (↑(sInf S) : Submodule R L) = sInf {(s : Submodule R L) | s ∈ S} :=
   rfl
-#align lie_subalgebra.Inf_coe_to_submodule LieSubalgebra.infₛ_coe_to_submodule
+#align lie_subalgebra.Inf_coe_to_submodule LieSubalgebra.sInf_coe_to_submodule
 
 @[simp]
-theorem infₛ_coe (S : Set (LieSubalgebra R L)) : (↑(infₛ S) : Set L) = ⋂ s ∈ S, (s : Set L) := by
-  rw [← coe_to_submodule, infₛ_coe_to_submodule, Submodule.infₛ_coe]
+theorem sInf_coe (S : Set (LieSubalgebra R L)) : (↑(sInf S) : Set L) = ⋂ s ∈ S, (s : Set L) := by
+  rw [← coe_to_submodule, sInf_coe_to_submodule, Submodule.sInf_coe]
   ext x
   simp
-#align lie_subalgebra.Inf_coe LieSubalgebra.infₛ_coe
+#align lie_subalgebra.Inf_coe LieSubalgebra.sInf_coe
 
-theorem infₛ_glb (S : Set (LieSubalgebra R L)) : IsGLB S (infₛ S) := by
+theorem sInf_glb (S : Set (LieSubalgebra R L)) : IsGLB S (sInf S) := by
   have h : ∀ K K' : LieSubalgebra R L, (K : Set L) ≤ K' ↔ K ≤ K' := by
     intros
     exact Iff.rfl
   apply IsGLB.of_image @h
-  simp only [infₛ_coe]
-  exact isGLB_binfᵢ
-#align lie_subalgebra.Inf_glb LieSubalgebra.infₛ_glb
+  simp only [sInf_coe]
+  exact isGLB_biInf
+#align lie_subalgebra.Inf_glb LieSubalgebra.sInf_glb
 
 /-- The set of Lie subalgebras of a Lie algebra form a complete lattice.
 
 We provide explicit values for the fields `bot`, `top`, `inf` to get more convenient definitions
 than we would otherwise obtain from `completeLatticeOfInf`. -/
 instance completeLattice : CompleteLattice (LieSubalgebra R L) :=
-  { completeLatticeOfInf _ infₛ_glb with
+  { completeLatticeOfInf _ sInf_glb with
     bot := ⊥
     bot_le := fun N _ h ↦ by
       rw [mem_bot] at h
@@ -679,15 +679,15 @@ variable (R L) (s : Set L)
 
 /-- The Lie subalgebra of a Lie algebra `L` generated by a subset `s ⊆ L`. -/
 def lieSpan : LieSubalgebra R L :=
-  infₛ { N | s ⊆ N }
+  sInf { N | s ⊆ N }
 #align lie_subalgebra.lie_span LieSubalgebra.lieSpan
 
 variable {R L s}
 
 theorem mem_lieSpan {x : L} : x ∈ lieSpan R L s ↔ ∀ K : LieSubalgebra R L, s ⊆ K → x ∈ K := by
   change x ∈ (lieSpan R L s : Set L) ↔ _
-  erw [infₛ_coe]
-  exact Set.mem_interᵢ₂
+  erw [sInf_coe]
+  exact Set.mem_iInter₂
 #align lie_subalgebra.mem_lie_span LieSubalgebra.mem_lieSpan
 
 theorem subset_lieSpan : s ⊆ lieSpan R L s := by
@@ -755,9 +755,9 @@ theorem span_union (s t : Set L) : lieSpan R L (s ∪ t) = lieSpan R L s ⊔ lie
   (LieSubalgebra.gi R L).gc.l_sup
 #align lie_subalgebra.span_union LieSubalgebra.span_union
 
-theorem span_unionᵢ {ι} (s : ι → Set L) : lieSpan R L (⋃ i, s i) = ⨆ i, lieSpan R L (s i) :=
-  (LieSubalgebra.gi R L).gc.l_supᵢ
-#align lie_subalgebra.span_Union LieSubalgebra.span_unionᵢ
+theorem span_iUnion {ι} (s : ι → Set L) : lieSpan R L (⋃ i, s i) = ⨆ i, lieSpan R L (s i) :=
+  (LieSubalgebra.gi R L).gc.l_iSup
+#align lie_subalgebra.span_Union LieSubalgebra.span_iUnion
 
 end LieSpan
 
feat: port Algebra.Lie.Subalgebra (#3016)

Dependencies 8 + 465

466 files ported (98.3%)
192094 lines ported (98.4%)
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The unported dependencies are