ring_theory.subring.pointwise ⟷ Mathlib.RingTheory.Subring.Pointwise

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

@@ -3,10 +3,10 @@ Copyright (c) 2021 Eric Wieser. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
 -/
-import Mathbin.RingTheory.Subring.Basic
-import Mathbin.GroupTheory.Subgroup.Pointwise
-import Mathbin.RingTheory.Subsemiring.Pointwise
-import Mathbin.Data.Set.Pointwise.Basic
+import RingTheory.Subring.Basic
+import GroupTheory.Subgroup.Pointwise
+import RingTheory.Subsemiring.Pointwise
+import Data.Set.Pointwise.Basic
 
 #align_import ring_theory.subring.pointwise from "leanprover-community/mathlib"@"932872382355f00112641d305ba0619305dc8642"
 

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

@@ -46,7 +46,7 @@ protected def pointwiseMulAction : MulAction M (Subring R)
     where
   smul a S := S.map (MulSemiringAction.toRingHom _ _ a)
   one_smul S := (congr_arg (fun f => S.map f) (RingHom.ext <| one_smul M)).trans S.map_id
-  mul_smul a₁ a₂ S :=
+  hMul_smul a₁ a₂ S :=
     (congr_arg (fun f => S.map f) (RingHom.ext <| mul_smul _ _)).trans (S.map_map _ _).symm
 #align subring.pointwise_mul_action Subring.pointwiseMulAction
 -/

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

@@ -2,17 +2,14 @@
 Copyright (c) 2021 Eric Wieser. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
-
-! This file was ported from Lean 3 source module ring_theory.subring.pointwise
-! leanprover-community/mathlib commit 932872382355f00112641d305ba0619305dc8642
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.RingTheory.Subring.Basic
 import Mathbin.GroupTheory.Subgroup.Pointwise
 import Mathbin.RingTheory.Subsemiring.Pointwise
 import Mathbin.Data.Set.Pointwise.Basic
 
+#align_import ring_theory.subring.pointwise from "leanprover-community/mathlib"@"932872382355f00112641d305ba0619305dc8642"
+
 /-! # Pointwise instances on `subring`s
 
 > THIS FILE IS SYNCHRONIZED WITH MATHLIB4.

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

@@ -65,16 +65,20 @@ theorem pointwise_smul_def {a : M} (S : Subring R) :
 #align subring.pointwise_smul_def Subring.pointwise_smul_def
 -/
 
+#print Subring.coe_pointwise_smul /-
 @[simp]
 theorem coe_pointwise_smul (m : M) (S : Subring R) : ↑(m • S) = m • (S : Set R) :=
   rfl
 #align subring.coe_pointwise_smul Subring.coe_pointwise_smul
+-/
 
+#print Subring.pointwise_smul_toAddSubgroup /-
 @[simp]
 theorem pointwise_smul_toAddSubgroup (m : M) (S : Subring R) :
     (m • S).toAddSubgroup = m • S.toAddSubgroup :=
   rfl
 #align subring.pointwise_smul_to_add_subgroup Subring.pointwise_smul_toAddSubgroup
+-/
 
 #print Subring.pointwise_smul_toSubsemiring /-
 @[simp]
@@ -84,23 +88,31 @@ theorem pointwise_smul_toSubsemiring (m : M) (S : Subring R) :
 #align subring.pointwise_smul_to_subsemiring Subring.pointwise_smul_toSubsemiring
 -/
 
+#print Subring.smul_mem_pointwise_smul /-
 theorem smul_mem_pointwise_smul (m : M) (r : R) (S : Subring R) : r ∈ S → m • r ∈ m • S :=
   (Set.smul_mem_smul_set : _ → _ ∈ m • (S : Set R))
 #align subring.smul_mem_pointwise_smul Subring.smul_mem_pointwise_smul
+-/
 
+#print Subring.mem_smul_pointwise_iff_exists /-
 theorem mem_smul_pointwise_iff_exists (m : M) (r : R) (S : Subring R) :
     r ∈ m • S ↔ ∃ s : R, s ∈ S ∧ m • s = r :=
   (Set.mem_smul_set : r ∈ m • (S : Set R) ↔ _)
 #align subring.mem_smul_pointwise_iff_exists Subring.mem_smul_pointwise_iff_exists
+-/
 
+#print Subring.smul_bot /-
 @[simp]
 theorem smul_bot (a : M) : a • (⊥ : Subring R) = ⊥ :=
   map_bot _
 #align subring.smul_bot Subring.smul_bot
+-/
 
+#print Subring.smul_sup /-
 theorem smul_sup (a : M) (S T : Subring R) : a • (S ⊔ T) = a • S ⊔ a • T :=
   map_sup _ _ _
 #align subring.smul_sup Subring.smul_sup
+-/
 
 #print Subring.smul_closure /-
 theorem smul_closure (a : M) (s : Set R) : a • closure s = closure (a • s) :=
@@ -108,10 +120,12 @@ theorem smul_closure (a : M) (s : Set R) : a • closure s = closure (a • s) :
 #align subring.smul_closure Subring.smul_closure
 -/
 
+#print Subring.pointwise_central_scalar /-
 instance pointwise_central_scalar [MulSemiringAction Mᵐᵒᵖ R] [IsCentralScalar M R] :
     IsCentralScalar M (Subring R) :=
   ⟨fun a S => (congr_arg fun f => S.map f) <| RingHom.ext <| op_smul_eq_smul _⟩
 #align subring.pointwise_central_scalar Subring.pointwise_central_scalar
+-/
 
 end Monoid
 
@@ -121,32 +135,44 @@ variable [Group M] [Ring R] [MulSemiringAction M R]
 
 open scoped Pointwise
 
+#print Subring.smul_mem_pointwise_smul_iff /-
 @[simp]
 theorem smul_mem_pointwise_smul_iff {a : M} {S : Subring R} {x : R} : a • x ∈ a • S ↔ x ∈ S :=
   smul_mem_smul_set_iff
 #align subring.smul_mem_pointwise_smul_iff Subring.smul_mem_pointwise_smul_iff
+-/
 
+#print Subring.mem_pointwise_smul_iff_inv_smul_mem /-
 theorem mem_pointwise_smul_iff_inv_smul_mem {a : M} {S : Subring R} {x : R} :
     x ∈ a • S ↔ a⁻¹ • x ∈ S :=
   mem_smul_set_iff_inv_smul_mem
 #align subring.mem_pointwise_smul_iff_inv_smul_mem Subring.mem_pointwise_smul_iff_inv_smul_mem
+-/
 
+#print Subring.mem_inv_pointwise_smul_iff /-
 theorem mem_inv_pointwise_smul_iff {a : M} {S : Subring R} {x : R} : x ∈ a⁻¹ • S ↔ a • x ∈ S :=
   mem_inv_smul_set_iff
 #align subring.mem_inv_pointwise_smul_iff Subring.mem_inv_pointwise_smul_iff
+-/
 
+#print Subring.pointwise_smul_le_pointwise_smul_iff /-
 @[simp]
 theorem pointwise_smul_le_pointwise_smul_iff {a : M} {S T : Subring R} : a • S ≤ a • T ↔ S ≤ T :=
   set_smul_subset_set_smul_iff
 #align subring.pointwise_smul_le_pointwise_smul_iff Subring.pointwise_smul_le_pointwise_smul_iff
+-/
 
+#print Subring.pointwise_smul_subset_iff /-
 theorem pointwise_smul_subset_iff {a : M} {S T : Subring R} : a • S ≤ T ↔ S ≤ a⁻¹ • T :=
   set_smul_subset_iff
 #align subring.pointwise_smul_subset_iff Subring.pointwise_smul_subset_iff
+-/
 
+#print Subring.subset_pointwise_smul_iff /-
 theorem subset_pointwise_smul_iff {a : M} {S T : Subring R} : S ≤ a • T ↔ a⁻¹ • S ≤ T :=
   subset_set_smul_iff
 #align subring.subset_pointwise_smul_iff Subring.subset_pointwise_smul_iff
+-/
 
 /-! TODO: add `equiv_smul` like we have for subgroup. -/
 
@@ -159,35 +185,47 @@ variable [GroupWithZero M] [Ring R] [MulSemiringAction M R]
 
 open scoped Pointwise
 
+#print Subring.smul_mem_pointwise_smul_iff₀ /-
 @[simp]
 theorem smul_mem_pointwise_smul_iff₀ {a : M} (ha : a ≠ 0) (S : Subring R) (x : R) :
     a • x ∈ a • S ↔ x ∈ S :=
   smul_mem_smul_set_iff₀ ha (S : Set R) x
 #align subring.smul_mem_pointwise_smul_iff₀ Subring.smul_mem_pointwise_smul_iff₀
+-/
 
+#print Subring.mem_pointwise_smul_iff_inv_smul_mem₀ /-
 theorem mem_pointwise_smul_iff_inv_smul_mem₀ {a : M} (ha : a ≠ 0) (S : Subring R) (x : R) :
     x ∈ a • S ↔ a⁻¹ • x ∈ S :=
   mem_smul_set_iff_inv_smul_mem₀ ha (S : Set R) x
 #align subring.mem_pointwise_smul_iff_inv_smul_mem₀ Subring.mem_pointwise_smul_iff_inv_smul_mem₀
+-/
 
+#print Subring.mem_inv_pointwise_smul_iff₀ /-
 theorem mem_inv_pointwise_smul_iff₀ {a : M} (ha : a ≠ 0) (S : Subring R) (x : R) :
     x ∈ a⁻¹ • S ↔ a • x ∈ S :=
   mem_inv_smul_set_iff₀ ha (S : Set R) x
 #align subring.mem_inv_pointwise_smul_iff₀ Subring.mem_inv_pointwise_smul_iff₀
+-/
 
+#print Subring.pointwise_smul_le_pointwise_smul_iff₀ /-
 @[simp]
 theorem pointwise_smul_le_pointwise_smul_iff₀ {a : M} (ha : a ≠ 0) {S T : Subring R} :
     a • S ≤ a • T ↔ S ≤ T :=
   set_smul_subset_set_smul_iff₀ ha
 #align subring.pointwise_smul_le_pointwise_smul_iff₀ Subring.pointwise_smul_le_pointwise_smul_iff₀
+-/
 
+#print Subring.pointwise_smul_le_iff₀ /-
 theorem pointwise_smul_le_iff₀ {a : M} (ha : a ≠ 0) {S T : Subring R} : a • S ≤ T ↔ S ≤ a⁻¹ • T :=
   set_smul_subset_iff₀ ha
 #align subring.pointwise_smul_le_iff₀ Subring.pointwise_smul_le_iff₀
+-/
 
+#print Subring.le_pointwise_smul_iff₀ /-
 theorem le_pointwise_smul_iff₀ {a : M} (ha : a ≠ 0) {S T : Subring R} : S ≤ a • T ↔ a⁻¹ • S ≤ T :=
   subset_set_smul_iff₀ ha
 #align subring.le_pointwise_smul_iff₀ Subring.le_pointwise_smul_iff₀
+-/
 
 end GroupWithZero
 

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

@@ -56,7 +56,7 @@ protected def pointwiseMulAction : MulAction M (Subring R)
 
 scoped[Pointwise] attribute [instance] Subring.pointwiseMulAction
 
-open Pointwise
+open scoped Pointwise
 
 #print Subring.pointwise_smul_def /-
 theorem pointwise_smul_def {a : M} (S : Subring R) :
@@ -119,7 +119,7 @@ section Group
 
 variable [Group M] [Ring R] [MulSemiringAction M R]
 
-open Pointwise
+open scoped Pointwise
 
 @[simp]
 theorem smul_mem_pointwise_smul_iff {a : M} {S : Subring R} {x : R} : a • x ∈ a • S ↔ x ∈ S :=
@@ -157,7 +157,7 @@ section GroupWithZero
 
 variable [GroupWithZero M] [Ring R] [MulSemiringAction M R]
 
-open Pointwise
+open scoped Pointwise
 
 @[simp]
 theorem smul_mem_pointwise_smul_iff₀ {a : M} (ha : a ≠ 0) (S : Subring R) (x : R) :

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

@@ -65,23 +65,11 @@ theorem pointwise_smul_def {a : M} (S : Subring R) :
 #align subring.pointwise_smul_def Subring.pointwise_smul_def
 -/
 
-/- warning: subring.coe_pointwise_smul -> Subring.coe_pointwise_smul is a dubious translation:
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align subring.coe_pointwise_smul Subring.coe_pointwise_smulₓ'. -/
 @[simp]
 theorem coe_pointwise_smul (m : M) (S : Subring R) : ↑(m • S) = m • (S : Set R) :=
   rfl
 #align subring.coe_pointwise_smul Subring.coe_pointwise_smul
 
-/- warning: subring.pointwise_smul_to_add_subgroup -> Subring.pointwise_smul_toAddSubgroup is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align subring.pointwise_smul_to_add_subgroup Subring.pointwise_smul_toAddSubgroupₓ'. -/
 @[simp]
 theorem pointwise_smul_toAddSubgroup (m : M) (S : Subring R) :
     (m • S).toAddSubgroup = m • S.toAddSubgroup :=
@@ -96,44 +84,20 @@ theorem pointwise_smul_toSubsemiring (m : M) (S : Subring R) :
 #align subring.pointwise_smul_to_subsemiring Subring.pointwise_smul_toSubsemiring
 -/
 
-/- warning: subring.smul_mem_pointwise_smul -> Subring.smul_mem_pointwise_smul is a dubious translation:
-lean 3 declaration is
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 theorem smul_mem_pointwise_smul (m : M) (r : R) (S : Subring R) : r ∈ S → m • r ∈ m • S :=
   (Set.smul_mem_smul_set : _ → _ ∈ m • (S : Set R))
 #align subring.smul_mem_pointwise_smul Subring.smul_mem_pointwise_smul
 
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 theorem mem_smul_pointwise_iff_exists (m : M) (r : R) (S : Subring R) :
     r ∈ m • S ↔ ∃ s : R, s ∈ S ∧ m • s = r :=
   (Set.mem_smul_set : r ∈ m • (S : Set R) ↔ _)
 #align subring.mem_smul_pointwise_iff_exists Subring.mem_smul_pointwise_iff_exists
 
-/- warning: subring.smul_bot -> Subring.smul_bot is a dubious translation:
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 @[simp]
 theorem smul_bot (a : M) : a • (⊥ : Subring R) = ⊥ :=
   map_bot _
 #align subring.smul_bot Subring.smul_bot
 
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-Case conversion may be inaccurate. Consider using '#align subring.smul_sup Subring.smul_supₓ'. -/
 theorem smul_sup (a : M) (S T : Subring R) : a • (S ⊔ T) = a • S ⊔ a • T :=
   map_sup _ _ _
 #align subring.smul_sup Subring.smul_sup
@@ -144,12 +108,6 @@ theorem smul_closure (a : M) (s : Set R) : a • closure s = closure (a • s) :
 #align subring.smul_closure Subring.smul_closure
 -/
 
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-Case conversion may be inaccurate. Consider using '#align subring.pointwise_central_scalar Subring.pointwise_central_scalarₓ'. -/
 instance pointwise_central_scalar [MulSemiringAction Mᵐᵒᵖ R] [IsCentralScalar M R] :
     IsCentralScalar M (Subring R) :=
   ⟨fun a S => (congr_arg fun f => S.map f) <| RingHom.ext <| op_smul_eq_smul _⟩
@@ -163,65 +121,29 @@ variable [Group M] [Ring R] [MulSemiringAction M R]
 
 open Pointwise
 
-/- warning: subring.smul_mem_pointwise_smul_iff -> Subring.smul_mem_pointwise_smul_iff is a dubious translation:
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-  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {x : R}, Iff (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) (SMul.smul.{u1, u2} M R (SMulZeroClass.toHasSmul.{u1, u2} M R (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))))) (DistribSMul.toSmulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2) _inst_3)))) a x) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) a S)) (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) x S)
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-Case conversion may be inaccurate. Consider using '#align subring.smul_mem_pointwise_smul_iff Subring.smul_mem_pointwise_smul_iffₓ'. -/
 @[simp]
 theorem smul_mem_pointwise_smul_iff {a : M} {S : Subring R} {x : R} : a • x ∈ a • S ↔ x ∈ S :=
   smul_mem_smul_set_iff
 #align subring.smul_mem_pointwise_smul_iff Subring.smul_mem_pointwise_smul_iff
 
-/- warning: subring.mem_pointwise_smul_iff_inv_smul_mem -> Subring.mem_pointwise_smul_iff_inv_smul_mem is a dubious translation:
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-  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {x : R}, Iff (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) x (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) a S)) (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) (SMul.smul.{u1, u2} M R (SMulZeroClass.toHasSmul.{u1, u2} M R (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))))) (DistribSMul.toSmulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2) _inst_3)))) (Inv.inv.{u1} M (DivInvMonoid.toHasInv.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) a) x) S)
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-Case conversion may be inaccurate. Consider using '#align subring.mem_pointwise_smul_iff_inv_smul_mem Subring.mem_pointwise_smul_iff_inv_smul_memₓ'. -/
 theorem mem_pointwise_smul_iff_inv_smul_mem {a : M} {S : Subring R} {x : R} :
     x ∈ a • S ↔ a⁻¹ • x ∈ S :=
   mem_smul_set_iff_inv_smul_mem
 #align subring.mem_pointwise_smul_iff_inv_smul_mem Subring.mem_pointwise_smul_iff_inv_smul_mem
 
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 theorem mem_inv_pointwise_smul_iff {a : M} {S : Subring R} {x : R} : x ∈ a⁻¹ • S ↔ a • x ∈ S :=
   mem_inv_smul_set_iff
 #align subring.mem_inv_pointwise_smul_iff Subring.mem_inv_pointwise_smul_iff
 
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 @[simp]
 theorem pointwise_smul_le_pointwise_smul_iff {a : M} {S T : Subring R} : a • S ≤ a • T ↔ S ≤ T :=
   set_smul_subset_set_smul_iff
 #align subring.pointwise_smul_le_pointwise_smul_iff Subring.pointwise_smul_le_pointwise_smul_iff
 
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 theorem pointwise_smul_subset_iff {a : M} {S T : Subring R} : a • S ≤ T ↔ S ≤ a⁻¹ • T :=
   set_smul_subset_iff
 #align subring.pointwise_smul_subset_iff Subring.pointwise_smul_subset_iff
 
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 theorem subset_pointwise_smul_iff {a : M} {S T : Subring R} : S ≤ a • T ↔ a⁻¹ • S ≤ T :=
   subset_set_smul_iff
 #align subring.subset_pointwise_smul_iff Subring.subset_pointwise_smul_iff
@@ -237,68 +159,32 @@ variable [GroupWithZero M] [Ring R] [MulSemiringAction M R]
 
 open Pointwise
 
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-Case conversion may be inaccurate. Consider using '#align subring.smul_mem_pointwise_smul_iff₀ Subring.smul_mem_pointwise_smul_iff₀ₓ'. -/
 @[simp]
 theorem smul_mem_pointwise_smul_iff₀ {a : M} (ha : a ≠ 0) (S : Subring R) (x : R) :
     a • x ∈ a • S ↔ x ∈ S :=
   smul_mem_smul_set_iff₀ ha (S : Set R) x
 #align subring.smul_mem_pointwise_smul_iff₀ Subring.smul_mem_pointwise_smul_iff₀
 
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-Case conversion may be inaccurate. Consider using '#align subring.mem_pointwise_smul_iff_inv_smul_mem₀ Subring.mem_pointwise_smul_iff_inv_smul_mem₀ₓ'. -/
 theorem mem_pointwise_smul_iff_inv_smul_mem₀ {a : M} (ha : a ≠ 0) (S : Subring R) (x : R) :
     x ∈ a • S ↔ a⁻¹ • x ∈ S :=
   mem_smul_set_iff_inv_smul_mem₀ ha (S : Set R) x
 #align subring.mem_pointwise_smul_iff_inv_smul_mem₀ Subring.mem_pointwise_smul_iff_inv_smul_mem₀
 
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-Case conversion may be inaccurate. Consider using '#align subring.mem_inv_pointwise_smul_iff₀ Subring.mem_inv_pointwise_smul_iff₀ₓ'. -/
 theorem mem_inv_pointwise_smul_iff₀ {a : M} (ha : a ≠ 0) (S : Subring R) (x : R) :
     x ∈ a⁻¹ • S ↔ a • x ∈ S :=
   mem_inv_smul_set_iff₀ ha (S : Set R) x
 #align subring.mem_inv_pointwise_smul_iff₀ Subring.mem_inv_pointwise_smul_iff₀
 
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 @[simp]
 theorem pointwise_smul_le_pointwise_smul_iff₀ {a : M} (ha : a ≠ 0) {S T : Subring R} :
     a • S ≤ a • T ↔ S ≤ T :=
   set_smul_subset_set_smul_iff₀ ha
 #align subring.pointwise_smul_le_pointwise_smul_iff₀ Subring.pointwise_smul_le_pointwise_smul_iff₀
 
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 theorem pointwise_smul_le_iff₀ {a : M} (ha : a ≠ 0) {S T : Subring R} : a • S ≤ T ↔ S ≤ a⁻¹ • T :=
   set_smul_subset_iff₀ ha
 #align subring.pointwise_smul_le_iff₀ Subring.pointwise_smul_le_iff₀
 
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 theorem le_pointwise_smul_iff₀ {a : M} (ha : a ≠ 0) {S T : Subring R} : S ≤ a • T ↔ a⁻¹ • S ≤ T :=
   subset_set_smul_iff₀ ha
 #align subring.le_pointwise_smul_iff₀ Subring.le_pointwise_smul_iff₀

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

@@ -197,7 +197,7 @@ theorem mem_inv_pointwise_smul_iff {a : M} {S : Subring R} {x : R} : x ∈ a⁻
 
 /- warning: subring.pointwise_smul_le_pointwise_smul_iff -> Subring.pointwise_smul_le_pointwise_smul_iff is a dubious translation:
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+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toHasLe.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) a S) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) a T)) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toHasLe.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S T)
 but is expected to have type
   forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u2} (Subring.{u2} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Subring.{u2} R _inst_2) (Subring.instCompleteLatticeSubring.{u2} R _inst_2))))) (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3))) a S) (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3))) a T)) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u2} (Subring.{u2} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Subring.{u2} R _inst_2) (Subring.instCompleteLatticeSubring.{u2} R _inst_2))))) S T)
 Case conversion may be inaccurate. Consider using '#align subring.pointwise_smul_le_pointwise_smul_iff Subring.pointwise_smul_le_pointwise_smul_iffₓ'. -/
@@ -208,7 +208,7 @@ theorem pointwise_smul_le_pointwise_smul_iff {a : M} {S T : Subring R} : a • S
 
 /- warning: subring.pointwise_smul_subset_iff -> Subring.pointwise_smul_subset_iff is a dubious translation:
 lean 3 declaration is
-  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) a S) T) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) (Inv.inv.{u1} M (DivInvMonoid.toHasInv.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) a) T))
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toHasLe.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) a S) T) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toHasLe.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) (Inv.inv.{u1} M (DivInvMonoid.toHasInv.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) a) T))
 but is expected to have type
   forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u2} (Subring.{u2} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Subring.{u2} R _inst_2) (Subring.instCompleteLatticeSubring.{u2} R _inst_2))))) (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3))) a S) T) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u2} (Subring.{u2} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Subring.{u2} R _inst_2) (Subring.instCompleteLatticeSubring.{u2} R _inst_2))))) S (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3))) (Inv.inv.{u1} M (InvOneClass.toInv.{u1} M (DivInvOneMonoid.toInvOneClass.{u1} M (DivisionMonoid.toDivInvOneMonoid.{u1} M (Group.toDivisionMonoid.{u1} M _inst_1)))) a) T))
 Case conversion may be inaccurate. Consider using '#align subring.pointwise_smul_subset_iff Subring.pointwise_smul_subset_iffₓ'. -/
@@ -218,7 +218,7 @@ theorem pointwise_smul_subset_iff {a : M} {S T : Subring R} : a • S ≤ T ↔
 
 /- warning: subring.subset_pointwise_smul_iff -> Subring.subset_pointwise_smul_iff is a dubious translation:
 lean 3 declaration is
-  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) a T)) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) (Inv.inv.{u1} M (DivInvMonoid.toHasInv.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) a) S) T)
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toHasLe.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) a T)) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toHasLe.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) (Inv.inv.{u1} M (DivInvMonoid.toHasInv.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) a) S) T)
 but is expected to have type
   forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u2} (Subring.{u2} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Subring.{u2} R _inst_2) (Subring.instCompleteLatticeSubring.{u2} R _inst_2))))) S (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3))) a T)) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u2} (Subring.{u2} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Subring.{u2} R _inst_2) (Subring.instCompleteLatticeSubring.{u2} R _inst_2))))) (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3))) (Inv.inv.{u1} M (InvOneClass.toInv.{u1} M (DivInvOneMonoid.toInvOneClass.{u1} M (DivisionMonoid.toDivInvOneMonoid.{u1} M (Group.toDivisionMonoid.{u1} M _inst_1)))) a) S) T)
 Case conversion may be inaccurate. Consider using '#align subring.subset_pointwise_smul_iff Subring.subset_pointwise_smul_iffₓ'. -/
@@ -273,7 +273,7 @@ theorem mem_inv_pointwise_smul_iff₀ {a : M} (ha : a ≠ 0) (S : Subring R) (x
 
 /- warning: subring.pointwise_smul_le_pointwise_smul_iff₀ -> Subring.pointwise_smul_le_pointwise_smul_iff₀ is a dubious translation:
 lean 3 declaration is
-  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : GroupWithZero.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M}, (Ne.{succ u1} M a (OfNat.ofNat.{u1} M 0 (OfNat.mk.{u1} M 0 (Zero.zero.{u1} M (MulZeroClass.toHasZero.{u1} M (MulZeroOneClass.toMulZeroClass.{u1} M (MonoidWithZero.toMulZeroOneClass.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)))))))) -> (forall {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) a S) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) a T)) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S T))
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : GroupWithZero.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M}, (Ne.{succ u1} M a (OfNat.ofNat.{u1} M 0 (OfNat.mk.{u1} M 0 (Zero.zero.{u1} M (MulZeroClass.toHasZero.{u1} M (MulZeroOneClass.toMulZeroClass.{u1} M (MonoidWithZero.toMulZeroOneClass.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)))))))) -> (forall {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toHasLe.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) a S) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) a T)) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toHasLe.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S T))
 but is expected to have type
   forall {M : Type.{u2}} {R : Type.{u1}} [_inst_1 : GroupWithZero.{u2} M] [_inst_2 : Ring.{u1} R] [_inst_3 : MulSemiringAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Ring.toSemiring.{u1} R _inst_2)] {a : M}, (Ne.{succ u2} M a (OfNat.ofNat.{u2} M 0 (Zero.toOfNat0.{u2} M (MonoidWithZero.toZero.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1))))) -> (forall {S : Subring.{u1} R _inst_2} {T : Subring.{u1} R _inst_2}, Iff (LE.le.{u1} (Subring.{u1} R _inst_2) (Preorder.toLE.{u1} (Subring.{u1} R _inst_2) (PartialOrder.toPreorder.{u1} (Subring.{u1} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u1} (Subring.{u1} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Subring.{u1} R _inst_2) (Subring.instCompleteLatticeSubring.{u1} R _inst_2))))) (HSMul.hSMul.{u2, u1, u1} M (Subring.{u1} R _inst_2) (Subring.{u1} R _inst_2) (instHSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MulAction.toSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Subring.pointwiseMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) _inst_2 _inst_3))) a S) (HSMul.hSMul.{u2, u1, u1} M (Subring.{u1} R _inst_2) (Subring.{u1} R _inst_2) (instHSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MulAction.toSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Subring.pointwiseMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) _inst_2 _inst_3))) a T)) (LE.le.{u1} (Subring.{u1} R _inst_2) (Preorder.toLE.{u1} (Subring.{u1} R _inst_2) (PartialOrder.toPreorder.{u1} (Subring.{u1} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u1} (Subring.{u1} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Subring.{u1} R _inst_2) (Subring.instCompleteLatticeSubring.{u1} R _inst_2))))) S T))
 Case conversion may be inaccurate. Consider using '#align subring.pointwise_smul_le_pointwise_smul_iff₀ Subring.pointwise_smul_le_pointwise_smul_iff₀ₓ'. -/
@@ -285,7 +285,7 @@ theorem pointwise_smul_le_pointwise_smul_iff₀ {a : M} (ha : a ≠ 0) {S T : Su
 
 /- warning: subring.pointwise_smul_le_iff₀ -> Subring.pointwise_smul_le_iff₀ is a dubious translation:
 lean 3 declaration is
-  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : GroupWithZero.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M}, (Ne.{succ u1} M a (OfNat.ofNat.{u1} M 0 (OfNat.mk.{u1} M 0 (Zero.zero.{u1} M (MulZeroClass.toHasZero.{u1} M (MulZeroOneClass.toMulZeroClass.{u1} M (MonoidWithZero.toMulZeroOneClass.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)))))))) -> (forall {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) a S) T) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) (Inv.inv.{u1} M (DivInvMonoid.toHasInv.{u1} M (GroupWithZero.toDivInvMonoid.{u1} M _inst_1)) a) T)))
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : GroupWithZero.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M}, (Ne.{succ u1} M a (OfNat.ofNat.{u1} M 0 (OfNat.mk.{u1} M 0 (Zero.zero.{u1} M (MulZeroClass.toHasZero.{u1} M (MulZeroOneClass.toMulZeroClass.{u1} M (MonoidWithZero.toMulZeroOneClass.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)))))))) -> (forall {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toHasLe.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) a S) T) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toHasLe.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) (Inv.inv.{u1} M (DivInvMonoid.toHasInv.{u1} M (GroupWithZero.toDivInvMonoid.{u1} M _inst_1)) a) T)))
 but is expected to have type
   forall {M : Type.{u2}} {R : Type.{u1}} [_inst_1 : GroupWithZero.{u2} M] [_inst_2 : Ring.{u1} R] [_inst_3 : MulSemiringAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Ring.toSemiring.{u1} R _inst_2)] {a : M}, (Ne.{succ u2} M a (OfNat.ofNat.{u2} M 0 (Zero.toOfNat0.{u2} M (MonoidWithZero.toZero.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1))))) -> (forall {S : Subring.{u1} R _inst_2} {T : Subring.{u1} R _inst_2}, Iff (LE.le.{u1} (Subring.{u1} R _inst_2) (Preorder.toLE.{u1} (Subring.{u1} R _inst_2) (PartialOrder.toPreorder.{u1} (Subring.{u1} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u1} (Subring.{u1} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Subring.{u1} R _inst_2) (Subring.instCompleteLatticeSubring.{u1} R _inst_2))))) (HSMul.hSMul.{u2, u1, u1} M (Subring.{u1} R _inst_2) (Subring.{u1} R _inst_2) (instHSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MulAction.toSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Subring.pointwiseMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) _inst_2 _inst_3))) a S) T) (LE.le.{u1} (Subring.{u1} R _inst_2) (Preorder.toLE.{u1} (Subring.{u1} R _inst_2) (PartialOrder.toPreorder.{u1} (Subring.{u1} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u1} (Subring.{u1} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Subring.{u1} R _inst_2) (Subring.instCompleteLatticeSubring.{u1} R _inst_2))))) S (HSMul.hSMul.{u2, u1, u1} M (Subring.{u1} R _inst_2) (Subring.{u1} R _inst_2) (instHSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MulAction.toSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Subring.pointwiseMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) _inst_2 _inst_3))) (Inv.inv.{u2} M (GroupWithZero.toInv.{u2} M _inst_1) a) T)))
 Case conversion may be inaccurate. Consider using '#align subring.pointwise_smul_le_iff₀ Subring.pointwise_smul_le_iff₀ₓ'. -/
@@ -295,7 +295,7 @@ theorem pointwise_smul_le_iff₀ {a : M} (ha : a ≠ 0) {S T : Subring R} : a 
 
 /- warning: subring.le_pointwise_smul_iff₀ -> Subring.le_pointwise_smul_iff₀ is a dubious translation:
 lean 3 declaration is
-  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : GroupWithZero.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M}, (Ne.{succ u1} M a (OfNat.ofNat.{u1} M 0 (OfNat.mk.{u1} M 0 (Zero.zero.{u1} M (MulZeroClass.toHasZero.{u1} M (MulZeroOneClass.toMulZeroClass.{u1} M (MonoidWithZero.toMulZeroOneClass.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)))))))) -> (forall {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) a T)) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) (Inv.inv.{u1} M (DivInvMonoid.toHasInv.{u1} M (GroupWithZero.toDivInvMonoid.{u1} M _inst_1)) a) S) T))
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : GroupWithZero.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M}, (Ne.{succ u1} M a (OfNat.ofNat.{u1} M 0 (OfNat.mk.{u1} M 0 (Zero.zero.{u1} M (MulZeroClass.toHasZero.{u1} M (MulZeroOneClass.toMulZeroClass.{u1} M (MonoidWithZero.toMulZeroOneClass.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)))))))) -> (forall {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toHasLe.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) a T)) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toHasLe.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) (Inv.inv.{u1} M (DivInvMonoid.toHasInv.{u1} M (GroupWithZero.toDivInvMonoid.{u1} M _inst_1)) a) S) T))
 but is expected to have type
   forall {M : Type.{u2}} {R : Type.{u1}} [_inst_1 : GroupWithZero.{u2} M] [_inst_2 : Ring.{u1} R] [_inst_3 : MulSemiringAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Ring.toSemiring.{u1} R _inst_2)] {a : M}, (Ne.{succ u2} M a (OfNat.ofNat.{u2} M 0 (Zero.toOfNat0.{u2} M (MonoidWithZero.toZero.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1))))) -> (forall {S : Subring.{u1} R _inst_2} {T : Subring.{u1} R _inst_2}, Iff (LE.le.{u1} (Subring.{u1} R _inst_2) (Preorder.toLE.{u1} (Subring.{u1} R _inst_2) (PartialOrder.toPreorder.{u1} (Subring.{u1} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u1} (Subring.{u1} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Subring.{u1} R _inst_2) (Subring.instCompleteLatticeSubring.{u1} R _inst_2))))) S (HSMul.hSMul.{u2, u1, u1} M (Subring.{u1} R _inst_2) (Subring.{u1} R _inst_2) (instHSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MulAction.toSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Subring.pointwiseMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) _inst_2 _inst_3))) a T)) (LE.le.{u1} (Subring.{u1} R _inst_2) (Preorder.toLE.{u1} (Subring.{u1} R _inst_2) (PartialOrder.toPreorder.{u1} (Subring.{u1} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u1} (Subring.{u1} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Subring.{u1} R _inst_2) (Subring.instCompleteLatticeSubring.{u1} R _inst_2))))) (HSMul.hSMul.{u2, u1, u1} M (Subring.{u1} R _inst_2) (Subring.{u1} R _inst_2) (instHSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MulAction.toSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Subring.pointwiseMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) _inst_2 _inst_3))) (Inv.inv.{u2} M (GroupWithZero.toInv.{u2} M _inst_1) a) S) T))
 Case conversion may be inaccurate. Consider using '#align subring.le_pointwise_smul_iff₀ Subring.le_pointwise_smul_iff₀ₓ'. -/

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

@@ -78,7 +78,7 @@ theorem coe_pointwise_smul (m : M) (S : Subring R) : ↑(m • S) = m • (S : S
 
 /- warning: subring.pointwise_smul_to_add_subgroup -> Subring.pointwise_smul_toAddSubgroup is a dubious translation:
 lean 3 declaration is
-  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] (m : M) (S : Subring.{u2} R _inst_2), Eq.{succ u2} (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (NonAssocRing.toAddGroupWithOne.{u2} R (Ring.toNonAssocRing.{u2} R _inst_2)))) (Subring.toAddSubgroup.{u2} R _inst_2 (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3)) m S)) (SMul.smul.{u1, u2} M (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (NonAssocRing.toAddGroupWithOne.{u2} R (Ring.toNonAssocRing.{u2} R _inst_2)))) (MulAction.toHasSmul.{u1, u2} M (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (NonAssocRing.toAddGroupWithOne.{u2} R (Ring.toNonAssocRing.{u2} R _inst_2)))) _inst_1 (AddSubgroup.pointwiseMulAction.{u1, u2} M R (AddGroupWithOne.toAddGroup.{u2} R (NonAssocRing.toAddGroupWithOne.{u2} R (Ring.toNonAssocRing.{u2} R _inst_2))) _inst_1 (MulSemiringAction.toDistribMulAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2) _inst_3))) m (Subring.toAddSubgroup.{u2} R _inst_2 S))
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] (m : M) (S : Subring.{u2} R _inst_2), Eq.{succ u2} (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (AddCommGroupWithOne.toAddGroupWithOne.{u2} R (Ring.toAddCommGroupWithOne.{u2} R _inst_2)))) (Subring.toAddSubgroup.{u2} R _inst_2 (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3)) m S)) (SMul.smul.{u1, u2} M (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (AddCommGroupWithOne.toAddGroupWithOne.{u2} R (Ring.toAddCommGroupWithOne.{u2} R _inst_2)))) (MulAction.toHasSmul.{u1, u2} M (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (AddCommGroupWithOne.toAddGroupWithOne.{u2} R (Ring.toAddCommGroupWithOne.{u2} R _inst_2)))) _inst_1 (AddSubgroup.pointwiseMulAction.{u1, u2} M R (AddGroupWithOne.toAddGroup.{u2} R (AddCommGroupWithOne.toAddGroupWithOne.{u2} R (Ring.toAddCommGroupWithOne.{u2} R _inst_2))) _inst_1 (MulSemiringAction.toDistribMulAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2) _inst_3))) m (Subring.toAddSubgroup.{u2} R _inst_2 S))
 but is expected to have type
   forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] (m : M) (S : Subring.{u2} R _inst_2), Eq.{succ u2} (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (Subring.toAddSubgroup.{u2} R _inst_2 (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3))) m S)) (HSMul.hSMul.{u1, u2, u2} M (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (instHSMul.{u1, u2} M (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (MulAction.toSMul.{u1, u2} M (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) _inst_1 (AddSubgroup.pointwiseMulAction.{u1, u2} M R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2)) _inst_1 (MulSemiringAction.toDistribMulAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2) _inst_3)))) m (Subring.toAddSubgroup.{u2} R _inst_2 S))
 Case conversion may be inaccurate. Consider using '#align subring.pointwise_smul_to_add_subgroup Subring.pointwise_smul_toAddSubgroupₓ'. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/b19481deb571022990f1baa9cbf9172e6757a479

@@ -76,13 +76,17 @@ theorem coe_pointwise_smul (m : M) (S : Subring R) : ↑(m • S) = m • (S : S
   rfl
 #align subring.coe_pointwise_smul Subring.coe_pointwise_smul
 
-#print Subring.pointwise_smul_toAddSubgroup /-
+/- warning: subring.pointwise_smul_to_add_subgroup -> Subring.pointwise_smul_toAddSubgroup is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] (m : M) (S : Subring.{u2} R _inst_2), Eq.{succ u2} (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (NonAssocRing.toAddGroupWithOne.{u2} R (Ring.toNonAssocRing.{u2} R _inst_2)))) (Subring.toAddSubgroup.{u2} R _inst_2 (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3)) m S)) (SMul.smul.{u1, u2} M (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (NonAssocRing.toAddGroupWithOne.{u2} R (Ring.toNonAssocRing.{u2} R _inst_2)))) (MulAction.toHasSmul.{u1, u2} M (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (NonAssocRing.toAddGroupWithOne.{u2} R (Ring.toNonAssocRing.{u2} R _inst_2)))) _inst_1 (AddSubgroup.pointwiseMulAction.{u1, u2} M R (AddGroupWithOne.toAddGroup.{u2} R (NonAssocRing.toAddGroupWithOne.{u2} R (Ring.toNonAssocRing.{u2} R _inst_2))) _inst_1 (MulSemiringAction.toDistribMulAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2) _inst_3))) m (Subring.toAddSubgroup.{u2} R _inst_2 S))
+but is expected to have type
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] (m : M) (S : Subring.{u2} R _inst_2), Eq.{succ u2} (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (Subring.toAddSubgroup.{u2} R _inst_2 (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3))) m S)) (HSMul.hSMul.{u1, u2, u2} M (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (instHSMul.{u1, u2} M (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (MulAction.toSMul.{u1, u2} M (AddSubgroup.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) _inst_1 (AddSubgroup.pointwiseMulAction.{u1, u2} M R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2)) _inst_1 (MulSemiringAction.toDistribMulAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2) _inst_3)))) m (Subring.toAddSubgroup.{u2} R _inst_2 S))
+Case conversion may be inaccurate. Consider using '#align subring.pointwise_smul_to_add_subgroup Subring.pointwise_smul_toAddSubgroupₓ'. -/
 @[simp]
 theorem pointwise_smul_toAddSubgroup (m : M) (S : Subring R) :
     (m • S).toAddSubgroup = m • S.toAddSubgroup :=
   rfl
 #align subring.pointwise_smul_to_add_subgroup Subring.pointwise_smul_toAddSubgroup
--/
 
 #print Subring.pointwise_smul_toSubsemiring /-
 @[simp]

mathlib commit https://github.com/leanprover-community/mathlib/commit/b19481deb571022990f1baa9cbf9172e6757a479

@@ -144,7 +144,7 @@ theorem smul_closure (a : M) (s : Set R) : a • closure s = closure (a • s) :
 lean 3 declaration is
   forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] [_inst_4 : MulSemiringAction.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.monoid.{u1} M _inst_1) (Ring.toSemiring.{u2} R _inst_2)] [_inst_5 : IsCentralScalar.{u1, u2} M R (SMulZeroClass.toHasSmul.{u1, u2} M R (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))))) (DistribSMul.toSmulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} M R _inst_1 (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2) _inst_3)))) (SMulZeroClass.toHasSmul.{u1, u2} (MulOpposite.{u1} M) R (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))))) (DistribSMul.toSmulZeroClass.{u1, u2} (MulOpposite.{u1} M) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.monoid.{u1} M _inst_1) (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))) (MulSemiringAction.toDistribMulAction.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.monoid.{u1} M _inst_1) (Ring.toSemiring.{u2} R _inst_2) _inst_4))))], IsCentralScalar.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3)) (MulAction.toHasSmul.{u1, u2} (MulOpposite.{u1} M) (Subring.{u2} R _inst_2) (MulOpposite.monoid.{u1} M _inst_1) (Subring.pointwiseMulAction.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.monoid.{u1} M _inst_1) _inst_2 _inst_4))
 but is expected to have type
-  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] [_inst_4 : MulSemiringAction.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.instMonoidMulOpposite.{u1} M _inst_1) (Ring.toSemiring.{u2} R _inst_2)] [_inst_5 : IsCentralScalar.{u1, u2} M R (SMulZeroClass.toSMul.{u1, u2} M R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2)))) (DistribMulAction.toDistribSMul.{u1, u2} M R _inst_1 (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u1, u2} (MulOpposite.{u1} M) R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} (MulOpposite.{u1} M) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2)))) (DistribMulAction.toDistribSMul.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.instMonoidMulOpposite.{u1} M _inst_1) (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (MulSemiringAction.toDistribMulAction.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.instMonoidMulOpposite.{u1} M _inst_1) (Ring.toSemiring.{u2} R _inst_2) _inst_4))))], IsCentralScalar.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3)) (MulAction.toSMul.{u1, u2} (MulOpposite.{u1} M) (Subring.{u2} R _inst_2) (MulOpposite.instMonoidMulOpposite.{u1} M _inst_1) (Subring.pointwiseMulAction.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.instMonoidMulOpposite.{u1} M _inst_1) _inst_2 _inst_4))
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] [_inst_4 : MulSemiringAction.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.monoid.{u1} M _inst_1) (Ring.toSemiring.{u2} R _inst_2)] [_inst_5 : IsCentralScalar.{u1, u2} M R (SMulZeroClass.toSMul.{u1, u2} M R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2)))) (DistribMulAction.toDistribSMul.{u1, u2} M R _inst_1 (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u1, u2} (MulOpposite.{u1} M) R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} (MulOpposite.{u1} M) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2)))) (DistribMulAction.toDistribSMul.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.monoid.{u1} M _inst_1) (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (MulSemiringAction.toDistribMulAction.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.monoid.{u1} M _inst_1) (Ring.toSemiring.{u2} R _inst_2) _inst_4))))], IsCentralScalar.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3)) (MulAction.toSMul.{u1, u2} (MulOpposite.{u1} M) (Subring.{u2} R _inst_2) (MulOpposite.monoid.{u1} M _inst_1) (Subring.pointwiseMulAction.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.monoid.{u1} M _inst_1) _inst_2 _inst_4))
 Case conversion may be inaccurate. Consider using '#align subring.pointwise_central_scalar Subring.pointwise_central_scalarₓ'. -/
 instance pointwise_central_scalar [MulSemiringAction Mᵐᵒᵖ R] [IsCentralScalar M R] :
     IsCentralScalar M (Subring R) :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/1f4705ccdfe1e557fc54a0ce081a05e33d2e6240

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
 
 ! This file was ported from Lean 3 source module ring_theory.subring.pointwise
-! leanprover-community/mathlib commit c982179ec21091d3e102d8a5d9f5fe06c8fafb73
+! leanprover-community/mathlib commit 932872382355f00112641d305ba0619305dc8642
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.Data.Set.Pointwise.Basic
 
 /-! # Pointwise instances on `subring`s
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file provides the action `subring.pointwise_mul_action` which matches the action of
 `mul_action_set`.
 

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

@@ -38,6 +38,7 @@ section Monoid
 
 variable [Monoid M] [Ring R] [MulSemiringAction M R]
 
+#print Subring.pointwiseMulAction /-
 /-- The action on a subring corresponding to applying the action to every element.
 
 This is available as an instance in the `pointwise` locale. -/
@@ -48,55 +49,100 @@ protected def pointwiseMulAction : MulAction M (Subring R)
   mul_smul a₁ a₂ S :=
     (congr_arg (fun f => S.map f) (RingHom.ext <| mul_smul _ _)).trans (S.map_map _ _).symm
 #align subring.pointwise_mul_action Subring.pointwiseMulAction
+-/
 
 scoped[Pointwise] attribute [instance] Subring.pointwiseMulAction
 
 open Pointwise
 
+#print Subring.pointwise_smul_def /-
 theorem pointwise_smul_def {a : M} (S : Subring R) :
     a • S = S.map (MulSemiringAction.toRingHom _ _ a) :=
   rfl
 #align subring.pointwise_smul_def Subring.pointwise_smul_def
+-/
 
+/- warning: subring.coe_pointwise_smul -> Subring.coe_pointwise_smul is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] (m : M) (S : Subring.{u2} R _inst_2), Eq.{succ u2} (Set.{u2} R) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Subring.{u2} R _inst_2) (Set.{u2} R) (HasLiftT.mk.{succ u2, succ u2} (Subring.{u2} R _inst_2) (Set.{u2} R) (CoeTCₓ.coe.{succ u2, succ u2} (Subring.{u2} R _inst_2) (Set.{u2} R) (SetLike.Set.hasCoeT.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3)) m S)) (SMul.smul.{u1, u2} M (Set.{u2} R) (Set.smulSet.{u1, u2} M R (SMulZeroClass.toHasSmul.{u1, u2} M R (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))))) (DistribSMul.toSmulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} M R _inst_1 (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2) _inst_3))))) m ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Subring.{u2} R _inst_2) (Set.{u2} R) (HasLiftT.mk.{succ u2, succ u2} (Subring.{u2} R _inst_2) (Set.{u2} R) (CoeTCₓ.coe.{succ u2, succ u2} (Subring.{u2} R _inst_2) (Set.{u2} R) (SetLike.Set.hasCoeT.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S))
+but is expected to have type
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] (m : M) (S : Subring.{u2} R _inst_2), Eq.{succ u2} (Set.{u2} R) (SetLike.coe.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.instSetLikeSubring.{u2} R _inst_2) (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3))) m S)) (HSMul.hSMul.{u1, u2, u2} M (Set.{u2} R) (Set.{u2} R) (instHSMul.{u1, u2} M (Set.{u2} R) (Set.smulSet.{u1, u2} M R (SMulZeroClass.toSMul.{u1, u2} M R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2)))) (DistribMulAction.toDistribSMul.{u1, u2} M R _inst_1 (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2) _inst_3)))))) m (SetLike.coe.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.instSetLikeSubring.{u2} R _inst_2) S))
+Case conversion may be inaccurate. Consider using '#align subring.coe_pointwise_smul Subring.coe_pointwise_smulₓ'. -/
 @[simp]
 theorem coe_pointwise_smul (m : M) (S : Subring R) : ↑(m • S) = m • (S : Set R) :=
   rfl
 #align subring.coe_pointwise_smul Subring.coe_pointwise_smul
 
+#print Subring.pointwise_smul_toAddSubgroup /-
 @[simp]
 theorem pointwise_smul_toAddSubgroup (m : M) (S : Subring R) :
     (m • S).toAddSubgroup = m • S.toAddSubgroup :=
   rfl
 #align subring.pointwise_smul_to_add_subgroup Subring.pointwise_smul_toAddSubgroup
+-/
 
+#print Subring.pointwise_smul_toSubsemiring /-
 @[simp]
 theorem pointwise_smul_toSubsemiring (m : M) (S : Subring R) :
     (m • S).toSubsemiring = m • S.toSubsemiring :=
   rfl
 #align subring.pointwise_smul_to_subsemiring Subring.pointwise_smul_toSubsemiring
+-/
 
+/- warning: subring.smul_mem_pointwise_smul -> Subring.smul_mem_pointwise_smul is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] (m : M) (r : R) (S : Subring.{u2} R _inst_2), (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) r S) -> (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) (SMul.smul.{u1, u2} M R (SMulZeroClass.toHasSmul.{u1, u2} M R (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))))) (DistribSMul.toSmulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} M R _inst_1 (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2) _inst_3)))) m r) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3)) m S))
+but is expected to have type
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] (m : M) (r : R) (S : Subring.{u2} R _inst_2), (Membership.mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.instMembership.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.instSetLikeSubring.{u2} R _inst_2)) r S) -> (Membership.mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.instMembership.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.instSetLikeSubring.{u2} R _inst_2)) (HSMul.hSMul.{u1, u2, u2} M R R (instHSMul.{u1, u2} M R (SMulZeroClass.toSMul.{u1, u2} M R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2)))) (DistribMulAction.toDistribSMul.{u1, u2} M R _inst_1 (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2) _inst_3))))) m r) (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3))) m S))
+Case conversion may be inaccurate. Consider using '#align subring.smul_mem_pointwise_smul Subring.smul_mem_pointwise_smulₓ'. -/
 theorem smul_mem_pointwise_smul (m : M) (r : R) (S : Subring R) : r ∈ S → m • r ∈ m • S :=
   (Set.smul_mem_smul_set : _ → _ ∈ m • (S : Set R))
 #align subring.smul_mem_pointwise_smul Subring.smul_mem_pointwise_smul
 
+/- warning: subring.mem_smul_pointwise_iff_exists -> Subring.mem_smul_pointwise_iff_exists is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] (m : M) (r : R) (S : Subring.{u2} R _inst_2), Iff (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) r (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3)) m S)) (Exists.{succ u2} R (fun (s : R) => And (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) s S) (Eq.{succ u2} R (SMul.smul.{u1, u2} M R (SMulZeroClass.toHasSmul.{u1, u2} M R (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))))) (DistribSMul.toSmulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} M R _inst_1 (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2) _inst_3)))) m s) r)))
+but is expected to have type
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] (m : M) (r : R) (S : Subring.{u2} R _inst_2), Iff (Membership.mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.instMembership.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.instSetLikeSubring.{u2} R _inst_2)) r (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3))) m S)) (Exists.{succ u2} R (fun (s : R) => And (Membership.mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.instMembership.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.instSetLikeSubring.{u2} R _inst_2)) s S) (Eq.{succ u2} R (HSMul.hSMul.{u1, u2, u2} M R R (instHSMul.{u1, u2} M R (SMulZeroClass.toSMul.{u1, u2} M R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2)))) (DistribMulAction.toDistribSMul.{u1, u2} M R _inst_1 (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2) _inst_3))))) m s) r)))
+Case conversion may be inaccurate. Consider using '#align subring.mem_smul_pointwise_iff_exists Subring.mem_smul_pointwise_iff_existsₓ'. -/
 theorem mem_smul_pointwise_iff_exists (m : M) (r : R) (S : Subring R) :
     r ∈ m • S ↔ ∃ s : R, s ∈ S ∧ m • s = r :=
   (Set.mem_smul_set : r ∈ m • (S : Set R) ↔ _)
 #align subring.mem_smul_pointwise_iff_exists Subring.mem_smul_pointwise_iff_exists
 
+/- warning: subring.smul_bot -> Subring.smul_bot is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] (a : M), Eq.{succ u2} (Subring.{u2} R _inst_2) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3)) a (Bot.bot.{u2} (Subring.{u2} R _inst_2) (Subring.hasBot.{u2} R _inst_2))) (Bot.bot.{u2} (Subring.{u2} R _inst_2) (Subring.hasBot.{u2} R _inst_2))
+but is expected to have type
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] (a : M), Eq.{succ u2} (Subring.{u2} R _inst_2) (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3))) a (Bot.bot.{u2} (Subring.{u2} R _inst_2) (Subring.instBotSubring.{u2} R _inst_2))) (Bot.bot.{u2} (Subring.{u2} R _inst_2) (Subring.instBotSubring.{u2} R _inst_2))
+Case conversion may be inaccurate. Consider using '#align subring.smul_bot Subring.smul_botₓ'. -/
 @[simp]
 theorem smul_bot (a : M) : a • (⊥ : Subring R) = ⊥ :=
   map_bot _
 #align subring.smul_bot Subring.smul_bot
 
+/- warning: subring.smul_sup -> Subring.smul_sup is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] (a : M) (S : Subring.{u2} R _inst_2) (T : Subring.{u2} R _inst_2), Eq.{succ u2} (Subring.{u2} R _inst_2) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3)) a (Sup.sup.{u2} (Subring.{u2} R _inst_2) (SemilatticeSup.toHasSup.{u2} (Subring.{u2} R _inst_2) (Lattice.toSemilatticeSup.{u2} (Subring.{u2} R _inst_2) (ConditionallyCompleteLattice.toLattice.{u2} (Subring.{u2} R _inst_2) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Subring.{u2} R _inst_2) (Subring.completeLattice.{u2} R _inst_2))))) S T)) (Sup.sup.{u2} (Subring.{u2} R _inst_2) (SemilatticeSup.toHasSup.{u2} (Subring.{u2} R _inst_2) (Lattice.toSemilatticeSup.{u2} (Subring.{u2} R _inst_2) (ConditionallyCompleteLattice.toLattice.{u2} (Subring.{u2} R _inst_2) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Subring.{u2} R _inst_2) (Subring.completeLattice.{u2} R _inst_2))))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3)) a S) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3)) a T))
+but is expected to have type
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] (a : M) (S : Subring.{u2} R _inst_2) (T : Subring.{u2} R _inst_2), Eq.{succ u2} (Subring.{u2} R _inst_2) (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3))) a (Sup.sup.{u2} (Subring.{u2} R _inst_2) (SemilatticeSup.toSup.{u2} (Subring.{u2} R _inst_2) (Lattice.toSemilatticeSup.{u2} (Subring.{u2} R _inst_2) (ConditionallyCompleteLattice.toLattice.{u2} (Subring.{u2} R _inst_2) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Subring.{u2} R _inst_2) (Subring.instCompleteLatticeSubring.{u2} R _inst_2))))) S T)) (Sup.sup.{u2} (Subring.{u2} R _inst_2) (SemilatticeSup.toSup.{u2} (Subring.{u2} R _inst_2) (Lattice.toSemilatticeSup.{u2} (Subring.{u2} R _inst_2) (ConditionallyCompleteLattice.toLattice.{u2} (Subring.{u2} R _inst_2) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Subring.{u2} R _inst_2) (Subring.instCompleteLatticeSubring.{u2} R _inst_2))))) (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3))) a S) (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3))) a T))
+Case conversion may be inaccurate. Consider using '#align subring.smul_sup Subring.smul_supₓ'. -/
 theorem smul_sup (a : M) (S T : Subring R) : a • (S ⊔ T) = a • S ⊔ a • T :=
   map_sup _ _ _
 #align subring.smul_sup Subring.smul_sup
 
+#print Subring.smul_closure /-
 theorem smul_closure (a : M) (s : Set R) : a • closure s = closure (a • s) :=
   RingHom.map_closure _ _
 #align subring.smul_closure Subring.smul_closure
+-/
 
+/- warning: subring.pointwise_central_scalar -> Subring.pointwise_central_scalar is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] [_inst_4 : MulSemiringAction.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.monoid.{u1} M _inst_1) (Ring.toSemiring.{u2} R _inst_2)] [_inst_5 : IsCentralScalar.{u1, u2} M R (SMulZeroClass.toHasSmul.{u1, u2} M R (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))))) (DistribSMul.toSmulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} M R _inst_1 (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2) _inst_3)))) (SMulZeroClass.toHasSmul.{u1, u2} (MulOpposite.{u1} M) R (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))))) (DistribSMul.toSmulZeroClass.{u1, u2} (MulOpposite.{u1} M) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.monoid.{u1} M _inst_1) (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))) (MulSemiringAction.toDistribMulAction.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.monoid.{u1} M _inst_1) (Ring.toSemiring.{u2} R _inst_2) _inst_4))))], IsCentralScalar.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3)) (MulAction.toHasSmul.{u1, u2} (MulOpposite.{u1} M) (Subring.{u2} R _inst_2) (MulOpposite.monoid.{u1} M _inst_1) (Subring.pointwiseMulAction.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.monoid.{u1} M _inst_1) _inst_2 _inst_4))
+but is expected to have type
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Monoid.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2)] [_inst_4 : MulSemiringAction.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.instMonoidMulOpposite.{u1} M _inst_1) (Ring.toSemiring.{u2} R _inst_2)] [_inst_5 : IsCentralScalar.{u1, u2} M R (SMulZeroClass.toSMul.{u1, u2} M R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2)))) (DistribMulAction.toDistribSMul.{u1, u2} M R _inst_1 (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R _inst_1 (Ring.toSemiring.{u2} R _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u1, u2} (MulOpposite.{u1} M) R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} (MulOpposite.{u1} M) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2)))) (DistribMulAction.toDistribSMul.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.instMonoidMulOpposite.{u1} M _inst_1) (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (MulSemiringAction.toDistribMulAction.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.instMonoidMulOpposite.{u1} M _inst_1) (Ring.toSemiring.{u2} R _inst_2) _inst_4))))], IsCentralScalar.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) _inst_1 (Subring.pointwiseMulAction.{u1, u2} M R _inst_1 _inst_2 _inst_3)) (MulAction.toSMul.{u1, u2} (MulOpposite.{u1} M) (Subring.{u2} R _inst_2) (MulOpposite.instMonoidMulOpposite.{u1} M _inst_1) (Subring.pointwiseMulAction.{u1, u2} (MulOpposite.{u1} M) R (MulOpposite.instMonoidMulOpposite.{u1} M _inst_1) _inst_2 _inst_4))
+Case conversion may be inaccurate. Consider using '#align subring.pointwise_central_scalar Subring.pointwise_central_scalarₓ'. -/
 instance pointwise_central_scalar [MulSemiringAction Mᵐᵒᵖ R] [IsCentralScalar M R] :
     IsCentralScalar M (Subring R) :=
   ⟨fun a S => (congr_arg fun f => S.map f) <| RingHom.ext <| op_smul_eq_smul _⟩
@@ -110,29 +156,65 @@ variable [Group M] [Ring R] [MulSemiringAction M R]
 
 open Pointwise
 
+/- warning: subring.smul_mem_pointwise_smul_iff -> Subring.smul_mem_pointwise_smul_iff is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {x : R}, Iff (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) (SMul.smul.{u1, u2} M R (SMulZeroClass.toHasSmul.{u1, u2} M R (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))))) (DistribSMul.toSmulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2) _inst_3)))) a x) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) a S)) (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) x S)
+but is expected to have type
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {x : R}, Iff (Membership.mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.instMembership.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.instSetLikeSubring.{u2} R _inst_2)) (HSMul.hSMul.{u1, u2, u2} M R R (instHSMul.{u1, u2} M R (SMulZeroClass.toSMul.{u1, u2} M R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2)))) (DistribMulAction.toDistribSMul.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2) _inst_3))))) a x) (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3))) a S)) (Membership.mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.instMembership.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.instSetLikeSubring.{u2} R _inst_2)) x S)
+Case conversion may be inaccurate. Consider using '#align subring.smul_mem_pointwise_smul_iff Subring.smul_mem_pointwise_smul_iffₓ'. -/
 @[simp]
 theorem smul_mem_pointwise_smul_iff {a : M} {S : Subring R} {x : R} : a • x ∈ a • S ↔ x ∈ S :=
   smul_mem_smul_set_iff
 #align subring.smul_mem_pointwise_smul_iff Subring.smul_mem_pointwise_smul_iff
 
+/- warning: subring.mem_pointwise_smul_iff_inv_smul_mem -> Subring.mem_pointwise_smul_iff_inv_smul_mem is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {x : R}, Iff (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) x (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) a S)) (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) (SMul.smul.{u1, u2} M R (SMulZeroClass.toHasSmul.{u1, u2} M R (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))))) (DistribSMul.toSmulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2) _inst_3)))) (Inv.inv.{u1} M (DivInvMonoid.toHasInv.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) a) x) S)
+but is expected to have type
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {x : R}, Iff (Membership.mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.instMembership.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.instSetLikeSubring.{u2} R _inst_2)) x (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3))) a S)) (Membership.mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.instMembership.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.instSetLikeSubring.{u2} R _inst_2)) (HSMul.hSMul.{u1, u2, u2} M R R (instHSMul.{u1, u2} M R (SMulZeroClass.toSMul.{u1, u2} M R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2)))) (DistribMulAction.toDistribSMul.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2) _inst_3))))) (Inv.inv.{u1} M (InvOneClass.toInv.{u1} M (DivInvOneMonoid.toInvOneClass.{u1} M (DivisionMonoid.toDivInvOneMonoid.{u1} M (Group.toDivisionMonoid.{u1} M _inst_1)))) a) x) S)
+Case conversion may be inaccurate. Consider using '#align subring.mem_pointwise_smul_iff_inv_smul_mem Subring.mem_pointwise_smul_iff_inv_smul_memₓ'. -/
 theorem mem_pointwise_smul_iff_inv_smul_mem {a : M} {S : Subring R} {x : R} :
     x ∈ a • S ↔ a⁻¹ • x ∈ S :=
   mem_smul_set_iff_inv_smul_mem
 #align subring.mem_pointwise_smul_iff_inv_smul_mem Subring.mem_pointwise_smul_iff_inv_smul_mem
 
+/- warning: subring.mem_inv_pointwise_smul_iff -> Subring.mem_inv_pointwise_smul_iff is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {x : R}, Iff (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) x (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) (Inv.inv.{u1} M (DivInvMonoid.toHasInv.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) a) S)) (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) (SMul.smul.{u1, u2} M R (SMulZeroClass.toHasSmul.{u1, u2} M R (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))))) (DistribSMul.toSmulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2) _inst_3)))) a x) S)
+but is expected to have type
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {x : R}, Iff (Membership.mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.instMembership.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.instSetLikeSubring.{u2} R _inst_2)) x (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3))) (Inv.inv.{u1} M (InvOneClass.toInv.{u1} M (DivInvOneMonoid.toInvOneClass.{u1} M (DivisionMonoid.toDivInvOneMonoid.{u1} M (Group.toDivisionMonoid.{u1} M _inst_1)))) a) S)) (Membership.mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.instMembership.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.instSetLikeSubring.{u2} R _inst_2)) (HSMul.hSMul.{u1, u2, u2} M R R (instHSMul.{u1, u2} M R (SMulZeroClass.toSMul.{u1, u2} M R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2)))) (DistribMulAction.toDistribSMul.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (AddMonoidWithOne.toAddMonoid.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (Ring.toAddGroupWithOne.{u2} R _inst_2))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2) _inst_3))))) a x) S)
+Case conversion may be inaccurate. Consider using '#align subring.mem_inv_pointwise_smul_iff Subring.mem_inv_pointwise_smul_iffₓ'. -/
 theorem mem_inv_pointwise_smul_iff {a : M} {S : Subring R} {x : R} : x ∈ a⁻¹ • S ↔ a • x ∈ S :=
   mem_inv_smul_set_iff
 #align subring.mem_inv_pointwise_smul_iff Subring.mem_inv_pointwise_smul_iff
 
+/- warning: subring.pointwise_smul_le_pointwise_smul_iff -> Subring.pointwise_smul_le_pointwise_smul_iff is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) a S) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) a T)) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S T)
+but is expected to have type
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u2} (Subring.{u2} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Subring.{u2} R _inst_2) (Subring.instCompleteLatticeSubring.{u2} R _inst_2))))) (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3))) a S) (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3))) a T)) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u2} (Subring.{u2} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Subring.{u2} R _inst_2) (Subring.instCompleteLatticeSubring.{u2} R _inst_2))))) S T)
+Case conversion may be inaccurate. Consider using '#align subring.pointwise_smul_le_pointwise_smul_iff Subring.pointwise_smul_le_pointwise_smul_iffₓ'. -/
 @[simp]
 theorem pointwise_smul_le_pointwise_smul_iff {a : M} {S T : Subring R} : a • S ≤ a • T ↔ S ≤ T :=
   set_smul_subset_set_smul_iff
 #align subring.pointwise_smul_le_pointwise_smul_iff Subring.pointwise_smul_le_pointwise_smul_iff
 
+/- warning: subring.pointwise_smul_subset_iff -> Subring.pointwise_smul_subset_iff is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) a S) T) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) (Inv.inv.{u1} M (DivInvMonoid.toHasInv.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) a) T))
+but is expected to have type
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u2} (Subring.{u2} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Subring.{u2} R _inst_2) (Subring.instCompleteLatticeSubring.{u2} R _inst_2))))) (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3))) a S) T) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u2} (Subring.{u2} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Subring.{u2} R _inst_2) (Subring.instCompleteLatticeSubring.{u2} R _inst_2))))) S (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3))) (Inv.inv.{u1} M (InvOneClass.toInv.{u1} M (DivInvOneMonoid.toInvOneClass.{u1} M (DivisionMonoid.toDivInvOneMonoid.{u1} M (Group.toDivisionMonoid.{u1} M _inst_1)))) a) T))
+Case conversion may be inaccurate. Consider using '#align subring.pointwise_smul_subset_iff Subring.pointwise_smul_subset_iffₓ'. -/
 theorem pointwise_smul_subset_iff {a : M} {S T : Subring R} : a • S ≤ T ↔ S ≤ a⁻¹ • T :=
   set_smul_subset_iff
 #align subring.pointwise_smul_subset_iff Subring.pointwise_smul_subset_iff
 
+/- warning: subring.subset_pointwise_smul_iff -> Subring.subset_pointwise_smul_iff is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) a T)) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3)) (Inv.inv.{u1} M (DivInvMonoid.toHasInv.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) a) S) T)
+but is expected to have type
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : Group.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M} {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u2} (Subring.{u2} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Subring.{u2} R _inst_2) (Subring.instCompleteLatticeSubring.{u2} R _inst_2))))) S (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3))) a T)) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u2} (Subring.{u2} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Subring.{u2} R _inst_2) (Subring.instCompleteLatticeSubring.{u2} R _inst_2))))) (HSMul.hSMul.{u1, u2, u2} M (Subring.{u2} R _inst_2) (Subring.{u2} R _inst_2) (instHSMul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toSMul.{u1, u2} M (Subring.{u2} R _inst_2) (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (DivInvMonoid.toMonoid.{u1} M (Group.toDivInvMonoid.{u1} M _inst_1)) _inst_2 _inst_3))) (Inv.inv.{u1} M (InvOneClass.toInv.{u1} M (DivInvOneMonoid.toInvOneClass.{u1} M (DivisionMonoid.toDivInvOneMonoid.{u1} M (Group.toDivisionMonoid.{u1} M _inst_1)))) a) S) T)
+Case conversion may be inaccurate. Consider using '#align subring.subset_pointwise_smul_iff Subring.subset_pointwise_smul_iffₓ'. -/
 theorem subset_pointwise_smul_iff {a : M} {S T : Subring R} : S ≤ a • T ↔ a⁻¹ • S ≤ T :=
   subset_set_smul_iff
 #align subring.subset_pointwise_smul_iff Subring.subset_pointwise_smul_iff
@@ -148,32 +230,68 @@ variable [GroupWithZero M] [Ring R] [MulSemiringAction M R]
 
 open Pointwise
 
+/- warning: subring.smul_mem_pointwise_smul_iff₀ -> Subring.smul_mem_pointwise_smul_iff₀ is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : GroupWithZero.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M}, (Ne.{succ u1} M a (OfNat.ofNat.{u1} M 0 (OfNat.mk.{u1} M 0 (Zero.zero.{u1} M (MulZeroClass.toHasZero.{u1} M (MulZeroOneClass.toMulZeroClass.{u1} M (MonoidWithZero.toMulZeroOneClass.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)))))))) -> (forall (S : Subring.{u2} R _inst_2) (x : R), Iff (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) (SMul.smul.{u1, u2} M R (SMulZeroClass.toHasSmul.{u1, u2} M R (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))))) (DistribSMul.toSmulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2) _inst_3)))) a x) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) a S)) (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) x S))
+but is expected to have type
+  forall {M : Type.{u2}} {R : Type.{u1}} [_inst_1 : GroupWithZero.{u2} M] [_inst_2 : Ring.{u1} R] [_inst_3 : MulSemiringAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Ring.toSemiring.{u1} R _inst_2)] {a : M}, (Ne.{succ u2} M a (OfNat.ofNat.{u2} M 0 (Zero.toOfNat0.{u2} M (MonoidWithZero.toZero.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1))))) -> (forall (S : Subring.{u1} R _inst_2) (x : R), Iff (Membership.mem.{u1, u1} R (Subring.{u1} R _inst_2) (SetLike.instMembership.{u1, u1} (Subring.{u1} R _inst_2) R (Subring.instSetLikeSubring.{u1} R _inst_2)) (HSMul.hSMul.{u2, u1, u1} M R R (instHSMul.{u2, u1} M R (SMulZeroClass.toSMul.{u2, u1} M R (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_2))) (DistribSMul.toSMulZeroClass.{u2, u1} M R (AddMonoid.toAddZeroClass.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R _inst_2)))) (DistribMulAction.toDistribSMul.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R _inst_2))) (MulSemiringAction.toDistribMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Ring.toSemiring.{u1} R _inst_2) _inst_3))))) a x) (HSMul.hSMul.{u2, u1, u1} M (Subring.{u1} R _inst_2) (Subring.{u1} R _inst_2) (instHSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MulAction.toSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Subring.pointwiseMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) _inst_2 _inst_3))) a S)) (Membership.mem.{u1, u1} R (Subring.{u1} R _inst_2) (SetLike.instMembership.{u1, u1} (Subring.{u1} R _inst_2) R (Subring.instSetLikeSubring.{u1} R _inst_2)) x S))
+Case conversion may be inaccurate. Consider using '#align subring.smul_mem_pointwise_smul_iff₀ Subring.smul_mem_pointwise_smul_iff₀ₓ'. -/
 @[simp]
 theorem smul_mem_pointwise_smul_iff₀ {a : M} (ha : a ≠ 0) (S : Subring R) (x : R) :
     a • x ∈ a • S ↔ x ∈ S :=
   smul_mem_smul_set_iff₀ ha (S : Set R) x
 #align subring.smul_mem_pointwise_smul_iff₀ Subring.smul_mem_pointwise_smul_iff₀
 
+/- warning: subring.mem_pointwise_smul_iff_inv_smul_mem₀ -> Subring.mem_pointwise_smul_iff_inv_smul_mem₀ is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : GroupWithZero.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M}, (Ne.{succ u1} M a (OfNat.ofNat.{u1} M 0 (OfNat.mk.{u1} M 0 (Zero.zero.{u1} M (MulZeroClass.toHasZero.{u1} M (MulZeroOneClass.toMulZeroClass.{u1} M (MonoidWithZero.toMulZeroOneClass.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)))))))) -> (forall (S : Subring.{u2} R _inst_2) (x : R), Iff (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) x (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) a S)) (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) (SMul.smul.{u1, u2} M R (SMulZeroClass.toHasSmul.{u1, u2} M R (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))))) (DistribSMul.toSmulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2) _inst_3)))) (Inv.inv.{u1} M (DivInvMonoid.toHasInv.{u1} M (GroupWithZero.toDivInvMonoid.{u1} M _inst_1)) a) x) S))
+but is expected to have type
+  forall {M : Type.{u2}} {R : Type.{u1}} [_inst_1 : GroupWithZero.{u2} M] [_inst_2 : Ring.{u1} R] [_inst_3 : MulSemiringAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Ring.toSemiring.{u1} R _inst_2)] {a : M}, (Ne.{succ u2} M a (OfNat.ofNat.{u2} M 0 (Zero.toOfNat0.{u2} M (MonoidWithZero.toZero.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1))))) -> (forall (S : Subring.{u1} R _inst_2) (x : R), Iff (Membership.mem.{u1, u1} R (Subring.{u1} R _inst_2) (SetLike.instMembership.{u1, u1} (Subring.{u1} R _inst_2) R (Subring.instSetLikeSubring.{u1} R _inst_2)) x (HSMul.hSMul.{u2, u1, u1} M (Subring.{u1} R _inst_2) (Subring.{u1} R _inst_2) (instHSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MulAction.toSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Subring.pointwiseMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) _inst_2 _inst_3))) a S)) (Membership.mem.{u1, u1} R (Subring.{u1} R _inst_2) (SetLike.instMembership.{u1, u1} (Subring.{u1} R _inst_2) R (Subring.instSetLikeSubring.{u1} R _inst_2)) (HSMul.hSMul.{u2, u1, u1} M R R (instHSMul.{u2, u1} M R (SMulZeroClass.toSMul.{u2, u1} M R (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_2))) (DistribSMul.toSMulZeroClass.{u2, u1} M R (AddMonoid.toAddZeroClass.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R _inst_2)))) (DistribMulAction.toDistribSMul.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R _inst_2))) (MulSemiringAction.toDistribMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Ring.toSemiring.{u1} R _inst_2) _inst_3))))) (Inv.inv.{u2} M (GroupWithZero.toInv.{u2} M _inst_1) a) x) S))
+Case conversion may be inaccurate. Consider using '#align subring.mem_pointwise_smul_iff_inv_smul_mem₀ Subring.mem_pointwise_smul_iff_inv_smul_mem₀ₓ'. -/
 theorem mem_pointwise_smul_iff_inv_smul_mem₀ {a : M} (ha : a ≠ 0) (S : Subring R) (x : R) :
     x ∈ a • S ↔ a⁻¹ • x ∈ S :=
   mem_smul_set_iff_inv_smul_mem₀ ha (S : Set R) x
 #align subring.mem_pointwise_smul_iff_inv_smul_mem₀ Subring.mem_pointwise_smul_iff_inv_smul_mem₀
 
+/- warning: subring.mem_inv_pointwise_smul_iff₀ -> Subring.mem_inv_pointwise_smul_iff₀ is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : GroupWithZero.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M}, (Ne.{succ u1} M a (OfNat.ofNat.{u1} M 0 (OfNat.mk.{u1} M 0 (Zero.zero.{u1} M (MulZeroClass.toHasZero.{u1} M (MulZeroOneClass.toMulZeroClass.{u1} M (MonoidWithZero.toMulZeroOneClass.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)))))))) -> (forall (S : Subring.{u2} R _inst_2) (x : R), Iff (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) x (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) (Inv.inv.{u1} M (DivInvMonoid.toHasInv.{u1} M (GroupWithZero.toDivInvMonoid.{u1} M _inst_1)) a) S)) (Membership.Mem.{u2, u2} R (Subring.{u2} R _inst_2) (SetLike.hasMem.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)) (SMul.smul.{u1, u2} M R (SMulZeroClass.toHasSmul.{u1, u2} M R (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))))) (DistribSMul.toSmulZeroClass.{u1, u2} M R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R _inst_2))))) (MulSemiringAction.toDistribMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2) _inst_3)))) a x) S))
+but is expected to have type
+  forall {M : Type.{u2}} {R : Type.{u1}} [_inst_1 : GroupWithZero.{u2} M] [_inst_2 : Ring.{u1} R] [_inst_3 : MulSemiringAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Ring.toSemiring.{u1} R _inst_2)] {a : M}, (Ne.{succ u2} M a (OfNat.ofNat.{u2} M 0 (Zero.toOfNat0.{u2} M (MonoidWithZero.toZero.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1))))) -> (forall (S : Subring.{u1} R _inst_2) (x : R), Iff (Membership.mem.{u1, u1} R (Subring.{u1} R _inst_2) (SetLike.instMembership.{u1, u1} (Subring.{u1} R _inst_2) R (Subring.instSetLikeSubring.{u1} R _inst_2)) x (HSMul.hSMul.{u2, u1, u1} M (Subring.{u1} R _inst_2) (Subring.{u1} R _inst_2) (instHSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MulAction.toSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Subring.pointwiseMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) _inst_2 _inst_3))) (Inv.inv.{u2} M (GroupWithZero.toInv.{u2} M _inst_1) a) S)) (Membership.mem.{u1, u1} R (Subring.{u1} R _inst_2) (SetLike.instMembership.{u1, u1} (Subring.{u1} R _inst_2) R (Subring.instSetLikeSubring.{u1} R _inst_2)) (HSMul.hSMul.{u2, u1, u1} M R R (instHSMul.{u2, u1} M R (SMulZeroClass.toSMul.{u2, u1} M R (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_2))) (DistribSMul.toSMulZeroClass.{u2, u1} M R (AddMonoid.toAddZeroClass.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R _inst_2)))) (DistribMulAction.toDistribSMul.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R _inst_2))) (MulSemiringAction.toDistribMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Ring.toSemiring.{u1} R _inst_2) _inst_3))))) a x) S))
+Case conversion may be inaccurate. Consider using '#align subring.mem_inv_pointwise_smul_iff₀ Subring.mem_inv_pointwise_smul_iff₀ₓ'. -/
 theorem mem_inv_pointwise_smul_iff₀ {a : M} (ha : a ≠ 0) (S : Subring R) (x : R) :
     x ∈ a⁻¹ • S ↔ a • x ∈ S :=
   mem_inv_smul_set_iff₀ ha (S : Set R) x
 #align subring.mem_inv_pointwise_smul_iff₀ Subring.mem_inv_pointwise_smul_iff₀
 
+/- warning: subring.pointwise_smul_le_pointwise_smul_iff₀ -> Subring.pointwise_smul_le_pointwise_smul_iff₀ is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : GroupWithZero.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M}, (Ne.{succ u1} M a (OfNat.ofNat.{u1} M 0 (OfNat.mk.{u1} M 0 (Zero.zero.{u1} M (MulZeroClass.toHasZero.{u1} M (MulZeroOneClass.toMulZeroClass.{u1} M (MonoidWithZero.toMulZeroOneClass.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)))))))) -> (forall {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) a S) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) a T)) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S T))
+but is expected to have type
+  forall {M : Type.{u2}} {R : Type.{u1}} [_inst_1 : GroupWithZero.{u2} M] [_inst_2 : Ring.{u1} R] [_inst_3 : MulSemiringAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Ring.toSemiring.{u1} R _inst_2)] {a : M}, (Ne.{succ u2} M a (OfNat.ofNat.{u2} M 0 (Zero.toOfNat0.{u2} M (MonoidWithZero.toZero.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1))))) -> (forall {S : Subring.{u1} R _inst_2} {T : Subring.{u1} R _inst_2}, Iff (LE.le.{u1} (Subring.{u1} R _inst_2) (Preorder.toLE.{u1} (Subring.{u1} R _inst_2) (PartialOrder.toPreorder.{u1} (Subring.{u1} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u1} (Subring.{u1} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Subring.{u1} R _inst_2) (Subring.instCompleteLatticeSubring.{u1} R _inst_2))))) (HSMul.hSMul.{u2, u1, u1} M (Subring.{u1} R _inst_2) (Subring.{u1} R _inst_2) (instHSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MulAction.toSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Subring.pointwiseMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) _inst_2 _inst_3))) a S) (HSMul.hSMul.{u2, u1, u1} M (Subring.{u1} R _inst_2) (Subring.{u1} R _inst_2) (instHSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MulAction.toSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Subring.pointwiseMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) _inst_2 _inst_3))) a T)) (LE.le.{u1} (Subring.{u1} R _inst_2) (Preorder.toLE.{u1} (Subring.{u1} R _inst_2) (PartialOrder.toPreorder.{u1} (Subring.{u1} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u1} (Subring.{u1} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Subring.{u1} R _inst_2) (Subring.instCompleteLatticeSubring.{u1} R _inst_2))))) S T))
+Case conversion may be inaccurate. Consider using '#align subring.pointwise_smul_le_pointwise_smul_iff₀ Subring.pointwise_smul_le_pointwise_smul_iff₀ₓ'. -/
 @[simp]
 theorem pointwise_smul_le_pointwise_smul_iff₀ {a : M} (ha : a ≠ 0) {S T : Subring R} :
     a • S ≤ a • T ↔ S ≤ T :=
   set_smul_subset_set_smul_iff₀ ha
 #align subring.pointwise_smul_le_pointwise_smul_iff₀ Subring.pointwise_smul_le_pointwise_smul_iff₀
 
+/- warning: subring.pointwise_smul_le_iff₀ -> Subring.pointwise_smul_le_iff₀ is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : GroupWithZero.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M}, (Ne.{succ u1} M a (OfNat.ofNat.{u1} M 0 (OfNat.mk.{u1} M 0 (Zero.zero.{u1} M (MulZeroClass.toHasZero.{u1} M (MulZeroOneClass.toMulZeroClass.{u1} M (MonoidWithZero.toMulZeroOneClass.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)))))))) -> (forall {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) a S) T) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) (Inv.inv.{u1} M (DivInvMonoid.toHasInv.{u1} M (GroupWithZero.toDivInvMonoid.{u1} M _inst_1)) a) T)))
+but is expected to have type
+  forall {M : Type.{u2}} {R : Type.{u1}} [_inst_1 : GroupWithZero.{u2} M] [_inst_2 : Ring.{u1} R] [_inst_3 : MulSemiringAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Ring.toSemiring.{u1} R _inst_2)] {a : M}, (Ne.{succ u2} M a (OfNat.ofNat.{u2} M 0 (Zero.toOfNat0.{u2} M (MonoidWithZero.toZero.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1))))) -> (forall {S : Subring.{u1} R _inst_2} {T : Subring.{u1} R _inst_2}, Iff (LE.le.{u1} (Subring.{u1} R _inst_2) (Preorder.toLE.{u1} (Subring.{u1} R _inst_2) (PartialOrder.toPreorder.{u1} (Subring.{u1} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u1} (Subring.{u1} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Subring.{u1} R _inst_2) (Subring.instCompleteLatticeSubring.{u1} R _inst_2))))) (HSMul.hSMul.{u2, u1, u1} M (Subring.{u1} R _inst_2) (Subring.{u1} R _inst_2) (instHSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MulAction.toSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Subring.pointwiseMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) _inst_2 _inst_3))) a S) T) (LE.le.{u1} (Subring.{u1} R _inst_2) (Preorder.toLE.{u1} (Subring.{u1} R _inst_2) (PartialOrder.toPreorder.{u1} (Subring.{u1} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u1} (Subring.{u1} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Subring.{u1} R _inst_2) (Subring.instCompleteLatticeSubring.{u1} R _inst_2))))) S (HSMul.hSMul.{u2, u1, u1} M (Subring.{u1} R _inst_2) (Subring.{u1} R _inst_2) (instHSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MulAction.toSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Subring.pointwiseMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) _inst_2 _inst_3))) (Inv.inv.{u2} M (GroupWithZero.toInv.{u2} M _inst_1) a) T)))
+Case conversion may be inaccurate. Consider using '#align subring.pointwise_smul_le_iff₀ Subring.pointwise_smul_le_iff₀ₓ'. -/
 theorem pointwise_smul_le_iff₀ {a : M} (ha : a ≠ 0) {S T : Subring R} : a • S ≤ T ↔ S ≤ a⁻¹ • T :=
   set_smul_subset_iff₀ ha
 #align subring.pointwise_smul_le_iff₀ Subring.pointwise_smul_le_iff₀
 
+/- warning: subring.le_pointwise_smul_iff₀ -> Subring.le_pointwise_smul_iff₀ is a dubious translation:
+lean 3 declaration is
+  forall {M : Type.{u1}} {R : Type.{u2}} [_inst_1 : GroupWithZero.{u1} M] [_inst_2 : Ring.{u2} R] [_inst_3 : MulSemiringAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Ring.toSemiring.{u2} R _inst_2)] {a : M}, (Ne.{succ u1} M a (OfNat.ofNat.{u1} M 0 (OfNat.mk.{u1} M 0 (Zero.zero.{u1} M (MulZeroClass.toHasZero.{u1} M (MulZeroOneClass.toMulZeroClass.{u1} M (MonoidWithZero.toMulZeroOneClass.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)))))))) -> (forall {S : Subring.{u2} R _inst_2} {T : Subring.{u2} R _inst_2}, Iff (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) S (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) a T)) (LE.le.{u2} (Subring.{u2} R _inst_2) (Preorder.toLE.{u2} (Subring.{u2} R _inst_2) (PartialOrder.toPreorder.{u2} (Subring.{u2} R _inst_2) (SetLike.partialOrder.{u2, u2} (Subring.{u2} R _inst_2) R (Subring.setLike.{u2} R _inst_2)))) (SMul.smul.{u1, u2} M (Subring.{u2} R _inst_2) (MulAction.toHasSmul.{u1, u2} M (Subring.{u2} R _inst_2) (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) (Subring.pointwiseMulAction.{u1, u2} M R (MonoidWithZero.toMonoid.{u1} M (GroupWithZero.toMonoidWithZero.{u1} M _inst_1)) _inst_2 _inst_3)) (Inv.inv.{u1} M (DivInvMonoid.toHasInv.{u1} M (GroupWithZero.toDivInvMonoid.{u1} M _inst_1)) a) S) T))
+but is expected to have type
+  forall {M : Type.{u2}} {R : Type.{u1}} [_inst_1 : GroupWithZero.{u2} M] [_inst_2 : Ring.{u1} R] [_inst_3 : MulSemiringAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Ring.toSemiring.{u1} R _inst_2)] {a : M}, (Ne.{succ u2} M a (OfNat.ofNat.{u2} M 0 (Zero.toOfNat0.{u2} M (MonoidWithZero.toZero.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1))))) -> (forall {S : Subring.{u1} R _inst_2} {T : Subring.{u1} R _inst_2}, Iff (LE.le.{u1} (Subring.{u1} R _inst_2) (Preorder.toLE.{u1} (Subring.{u1} R _inst_2) (PartialOrder.toPreorder.{u1} (Subring.{u1} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u1} (Subring.{u1} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Subring.{u1} R _inst_2) (Subring.instCompleteLatticeSubring.{u1} R _inst_2))))) S (HSMul.hSMul.{u2, u1, u1} M (Subring.{u1} R _inst_2) (Subring.{u1} R _inst_2) (instHSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MulAction.toSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Subring.pointwiseMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) _inst_2 _inst_3))) a T)) (LE.le.{u1} (Subring.{u1} R _inst_2) (Preorder.toLE.{u1} (Subring.{u1} R _inst_2) (PartialOrder.toPreorder.{u1} (Subring.{u1} R _inst_2) (CompleteSemilatticeInf.toPartialOrder.{u1} (Subring.{u1} R _inst_2) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Subring.{u1} R _inst_2) (Subring.instCompleteLatticeSubring.{u1} R _inst_2))))) (HSMul.hSMul.{u2, u1, u1} M (Subring.{u1} R _inst_2) (Subring.{u1} R _inst_2) (instHSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MulAction.toSMul.{u2, u1} M (Subring.{u1} R _inst_2) (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) (Subring.pointwiseMulAction.{u2, u1} M R (MonoidWithZero.toMonoid.{u2} M (GroupWithZero.toMonoidWithZero.{u2} M _inst_1)) _inst_2 _inst_3))) (Inv.inv.{u2} M (GroupWithZero.toInv.{u2} M _inst_1) a) S) T))
+Case conversion may be inaccurate. Consider using '#align subring.le_pointwise_smul_iff₀ Subring.le_pointwise_smul_iff₀ₓ'. -/
 theorem le_pointwise_smul_iff₀ {a : M} (ha : a ≠ 0) {S T : Subring R} : S ≤ a • T ↔ a⁻¹ • S ≤ T :=
   subset_set_smul_iff₀ ha
 #align subring.le_pointwise_smul_iff₀ Subring.le_pointwise_smul_iff₀

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

Everywhere we have a smul_mem_pointwise_smul lemma, I've added this result.

@@ -75,6 +75,9 @@ theorem smul_mem_pointwise_smul (m : M) (r : R) (S : Subring R) : r ∈ S → m
   (Set.smul_mem_smul_set : _ → _ ∈ m • (S : Set R))
 #align subring.smul_mem_pointwise_smul Subring.smul_mem_pointwise_smul
 
+instance : CovariantClass M (Subring R) HSMul.hSMul LE.le :=
+  ⟨fun _ _ => image_subset _⟩
+
 theorem mem_smul_pointwise_iff_exists (m : M) (r : R) (S : Subring R) :
     r ∈ m • S ↔ ∃ s : R, s ∈ S ∧ m • s = r :=
   (Set.mem_smul_set : r ∈ m • (S : Set R) ↔ _)

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

This has nice performance benefits.

@@ -27,7 +27,7 @@ keep them in sync.
 
 open Set
 
-variable {M R : Type _}
+variable {M R : Type*}
 
 namespace Subring
 

• depends on: #5966

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

@@ -2,17 +2,14 @@
 Copyright (c) 2021 Eric Wieser. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
-
-! This file was ported from Lean 3 source module ring_theory.subring.pointwise
-! leanprover-community/mathlib commit dc6c365e751e34d100e80fe6e314c3c3e0fd2988
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.RingTheory.Subring.Basic
 import Mathlib.GroupTheory.Subgroup.Pointwise
 import Mathlib.RingTheory.Subsemiring.Pointwise
 import Mathlib.Data.Set.Pointwise.Basic
 
+#align_import ring_theory.subring.pointwise from "leanprover-community/mathlib"@"dc6c365e751e34d100e80fe6e314c3c3e0fd2988"
+
 /-! # Pointwise instances on `Subring`s
 
 This file provides the action `Subring.pointwiseMulAction` which matches the action of

Now that leanprover/lean4#2210 has been merged, this PR:

• removes all the set_option synthInstance.etaExperiment true commands (and some etaExperiment% term elaborators)
• removes many but not quite all set_option maxHeartbeats commands
• makes various other changes required to cope with leanprover/lean4#2210.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Matthew Ballard <matt@mrb.email>

@@ -68,7 +68,6 @@ theorem pointwise_smul_toAddSubgroup (m : M) (S : Subring R) :
   rfl
 #align subring.pointwise_smul_to_add_subgroup Subring.pointwise_smul_toAddSubgroup
 
-set_option synthInstance.etaExperiment true in
 @[simp]
 theorem pointwise_smul_toSubsemiring (m : M) (S : Subring R) :
     (m • S).toSubsemiring = m • S.toSubsemiring :=

@@ -13,7 +13,7 @@ import Mathlib.GroupTheory.Subgroup.Pointwise
 import Mathlib.RingTheory.Subsemiring.Pointwise
 import Mathlib.Data.Set.Pointwise.Basic
 
-/-! # Pointwise instances on `subring`s
+/-! # Pointwise instances on `Subring`s
 
 This file provides the action `Subring.pointwiseMulAction` which matches the action of
 `mulActionSet`.
@@ -41,8 +41,7 @@ variable [Monoid M] [Ring R] [MulSemiringAction M R]
 /-- The action on a subring corresponding to applying the action to every element.
 
 This is available as an instance in the `Pointwise` locale. -/
-protected def pointwiseMulAction : MulAction M (Subring R)
-    where
+protected def pointwiseMulAction : MulAction M (Subring R) where
   smul a S := S.map (MulSemiringAction.toRingHom _ _ a)
   one_smul S := (congr_arg (fun f => S.map f) (RingHom.ext <| one_smul M)).trans S.map_id
   mul_smul _ _ S :=
@@ -138,7 +137,7 @@ theorem subset_pointwise_smul_iff {a : M} {S T : Subring R} : S ≤ a • T ↔
   subset_set_smul_iff
 #align subring.subset_pointwise_smul_iff Subring.subset_pointwise_smul_iff
 
-/-! TODO: add `equiv_smul` like we have for subgroup. -/
+/-! TODO: add `equivSMul` like we have for subgroup. -/
 
 
 end Group

Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>