topology.algebra.module.simple ⟷ Mathlib.Topology.Algebra.Module.Simple

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

@@ -3,8 +3,8 @@ Copyright (c) 2022 Anatole Dedecker. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anatole Dedecker
 -/
-import Mathbin.RingTheory.SimpleModule
-import Mathbin.Topology.Algebra.Module.Basic
+import RingTheory.SimpleModule
+import Topology.Algebra.Module.Basic
 
 #align_import topology.algebra.module.simple from "leanprover-community/mathlib"@"19cb3751e5e9b3d97adb51023949c50c13b5fdfd"
 

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

@@ -2,15 +2,12 @@
 Copyright (c) 2022 Anatole Dedecker. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anatole Dedecker
-
-! This file was ported from Lean 3 source module topology.algebra.module.simple
-! leanprover-community/mathlib commit 19cb3751e5e9b3d97adb51023949c50c13b5fdfd
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.RingTheory.SimpleModule
 import Mathbin.Topology.Algebra.Module.Basic
 
+#align_import topology.algebra.module.simple from "leanprover-community/mathlib"@"19cb3751e5e9b3d97adb51023949c50c13b5fdfd"
+
 /-!
 # The kernel of a linear function is closed or dense
 

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

@@ -29,6 +29,7 @@ variable {R : Type u} {M : Type v} {N : Type w} [Ring R] [TopologicalSpace R] [T
   [AddCommGroup M] [AddCommGroup N] [Module R M] [ContinuousSMul R M] [Module R N] [ContinuousAdd M]
   [IsSimpleModule R N]
 
+#print LinearMap.isClosed_or_dense_ker /-
 /-- The kernel of a linear map taking values in a simple module over the base ring is closed or
 dense. Applies, e.g., to the case when `R = N` is a division ring. -/
 theorem LinearMap.isClosed_or_dense_ker (l : M →ₗ[R] N) :
@@ -40,4 +41,5 @@ theorem LinearMap.isClosed_or_dense_ker (l : M →ₗ[R] N) :
     left
     exact isClosed_univ
 #align linear_map.is_closed_or_dense_ker LinearMap.isClosed_or_dense_ker
+-/
 

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

@@ -29,9 +29,6 @@ variable {R : Type u} {M : Type v} {N : Type w} [Ring R] [TopologicalSpace R] [T
   [AddCommGroup M] [AddCommGroup N] [Module R M] [ContinuousSMul R M] [Module R N] [ContinuousAdd M]
   [IsSimpleModule R N]
 
-/- warning: linear_map.is_closed_or_dense_ker -> LinearMap.isClosed_or_dense_ker is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.is_closed_or_dense_ker LinearMap.isClosed_or_dense_kerₓ'. -/
 /-- The kernel of a linear map taking values in a simple module over the base ring is closed or
 dense. Applies, e.g., to the case when `R = N` is a division ring. -/
 theorem LinearMap.isClosed_or_dense_ker (l : M →ₗ[R] N) :

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

@@ -30,10 +30,7 @@ variable {R : Type u} {M : Type v} {N : Type w} [Ring R] [TopologicalSpace R] [T
   [IsSimpleModule R N]
 
 /- warning: linear_map.is_closed_or_dense_ker -> LinearMap.isClosed_or_dense_ker is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Ring.{u1} R] [_inst_2 : TopologicalSpace.{u1} R] [_inst_3 : TopologicalSpace.{u2} M] [_inst_4 : AddCommGroup.{u2} M] [_inst_5 : AddCommGroup.{u3} N] [_inst_6 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)] [_inst_7 : ContinuousSMul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) _inst_2 _inst_3] [_inst_8 : Module.{u1, u3} R N (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5)] [_inst_9 : ContinuousAdd.{u2} M _inst_3 (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4)))))] [_inst_10 : IsSimpleModule.{u1, u3} R _inst_1 N _inst_5 _inst_8] (l : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8), Or (IsClosed.{u2} M _inst_3 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (CoeTCₓ.coe.{succ u2, succ u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) l))) (Dense.{u2} M _inst_3 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (CoeTCₓ.coe.{succ u2, succ u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) l)))
-but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Ring.{u1} R] [_inst_2 : TopologicalSpace.{u1} R] [_inst_3 : TopologicalSpace.{u2} M] [_inst_4 : AddCommGroup.{u2} M] [_inst_5 : AddCommGroup.{u3} N] [_inst_6 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)] [_inst_7 : ContinuousSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) _inst_2 _inst_3] [_inst_8 : Module.{u1, u3} R N (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5)] [_inst_9 : ContinuousAdd.{u2} M _inst_3 (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4)))))] [_inst_10 : IsSimpleModule.{u1, u3} R _inst_1 N _inst_5 _inst_8] (l : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8), Or (IsClosed.{u2} M _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) l))) (Dense.{u2} M _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) l)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.is_closed_or_dense_ker LinearMap.isClosed_or_dense_kerₓ'. -/
 /-- The kernel of a linear map taking values in a simple module over the base ring is closed or
 dense. Applies, e.g., to the case when `R = N` is a division ring. -/

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

@@ -33,7 +33,7 @@ variable {R : Type u} {M : Type v} {N : Type w} [Ring R] [TopologicalSpace R] [T
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Ring.{u1} R] [_inst_2 : TopologicalSpace.{u1} R] [_inst_3 : TopologicalSpace.{u2} M] [_inst_4 : AddCommGroup.{u2} M] [_inst_5 : AddCommGroup.{u3} N] [_inst_6 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)] [_inst_7 : ContinuousSMul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) _inst_2 _inst_3] [_inst_8 : Module.{u1, u3} R N (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5)] [_inst_9 : ContinuousAdd.{u2} M _inst_3 (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4)))))] [_inst_10 : IsSimpleModule.{u1, u3} R _inst_1 N _inst_5 _inst_8] (l : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8), Or (IsClosed.{u2} M _inst_3 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (CoeTCₓ.coe.{succ u2, succ u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) l))) (Dense.{u2} M _inst_3 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (CoeTCₓ.coe.{succ u2, succ u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) l)))
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Ring.{u1} R] [_inst_2 : TopologicalSpace.{u1} R] [_inst_3 : TopologicalSpace.{u2} M] [_inst_4 : AddCommGroup.{u2} M] [_inst_5 : AddCommGroup.{u3} N] [_inst_6 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)] [_inst_7 : ContinuousSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) _inst_2 _inst_3] [_inst_8 : Module.{u1, u3} R N (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5)] [_inst_9 : ContinuousAdd.{u2} M _inst_3 (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4)))))] [_inst_10 : IsSimpleModule.{u1, u3} R _inst_1 N _inst_5 _inst_8] (l : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8), Or (IsClosed.{u2} M _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) l))) (Dense.{u2} M _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) l)))
+  forall {R : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Ring.{u1} R] [_inst_2 : TopologicalSpace.{u1} R] [_inst_3 : TopologicalSpace.{u2} M] [_inst_4 : AddCommGroup.{u2} M] [_inst_5 : AddCommGroup.{u3} N] [_inst_6 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)] [_inst_7 : ContinuousSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) _inst_2 _inst_3] [_inst_8 : Module.{u1, u3} R N (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5)] [_inst_9 : ContinuousAdd.{u2} M _inst_3 (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4)))))] [_inst_10 : IsSimpleModule.{u1, u3} R _inst_1 N _inst_5 _inst_8] (l : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8), Or (IsClosed.{u2} M _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) l))) (Dense.{u2} M _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) l)))
 Case conversion may be inaccurate. Consider using '#align linear_map.is_closed_or_dense_ker LinearMap.isClosed_or_dense_kerₓ'. -/
 /-- The kernel of a linear map taking values in a simple module over the base ring is closed or
 dense. Applies, e.g., to the case when `R = N` is a division ring. -/

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

@@ -33,7 +33,7 @@ variable {R : Type u} {M : Type v} {N : Type w} [Ring R] [TopologicalSpace R] [T
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Ring.{u1} R] [_inst_2 : TopologicalSpace.{u1} R] [_inst_3 : TopologicalSpace.{u2} M] [_inst_4 : AddCommGroup.{u2} M] [_inst_5 : AddCommGroup.{u3} N] [_inst_6 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)] [_inst_7 : ContinuousSMul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) _inst_2 _inst_3] [_inst_8 : Module.{u1, u3} R N (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5)] [_inst_9 : ContinuousAdd.{u2} M _inst_3 (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4)))))] [_inst_10 : IsSimpleModule.{u1, u3} R _inst_1 N _inst_5 _inst_8] (l : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8), Or (IsClosed.{u2} M _inst_3 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (CoeTCₓ.coe.{succ u2, succ u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) l))) (Dense.{u2} M _inst_3 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (CoeTCₓ.coe.{succ u2, succ u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) l)))
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Ring.{u1} R] [_inst_2 : TopologicalSpace.{u1} R] [_inst_3 : TopologicalSpace.{u2} M] [_inst_4 : AddCommGroup.{u2} M] [_inst_5 : AddCommGroup.{u3} N] [_inst_6 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)] [_inst_7 : ContinuousSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) _inst_2 _inst_3] [_inst_8 : Module.{u1, u3} R N (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5)] [_inst_9 : ContinuousAdd.{u2} M _inst_3 (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4)))))] [_inst_10 : IsSimpleModule.{u1, u3} R _inst_1 N _inst_5 _inst_8] (l : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8), Or (IsClosed.{u2} M _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) l))) (Dense.{u2} M _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) l)))
+  forall {R : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Ring.{u1} R] [_inst_2 : TopologicalSpace.{u1} R] [_inst_3 : TopologicalSpace.{u2} M] [_inst_4 : AddCommGroup.{u2} M] [_inst_5 : AddCommGroup.{u3} N] [_inst_6 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)] [_inst_7 : ContinuousSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) _inst_2 _inst_3] [_inst_8 : Module.{u1, u3} R N (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5)] [_inst_9 : ContinuousAdd.{u2} M _inst_3 (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4)))))] [_inst_10 : IsSimpleModule.{u1, u3} R _inst_1 N _inst_5 _inst_8] (l : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8), Or (IsClosed.{u2} M _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) l))) (Dense.{u2} M _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) l)))
 Case conversion may be inaccurate. Consider using '#align linear_map.is_closed_or_dense_ker LinearMap.isClosed_or_dense_kerₓ'. -/
 /-- The kernel of a linear map taking values in a simple module over the base ring is closed or
 dense. Applies, e.g., to the case when `R = N` is a division ring. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/284fdd2962e67d2932fa3a79ce19fcf92d38e228

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anatole Dedecker
 
 ! This file was ported from Lean 3 source module topology.algebra.module.simple
-! leanprover-community/mathlib commit f430769b562e0cedef59ee1ed968d67e0e0c86ba
+! leanprover-community/mathlib commit 19cb3751e5e9b3d97adb51023949c50c13b5fdfd
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Topology.Algebra.Module.Basic
 /-!
 # The kernel of a linear function is closed or dense
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we prove (`linear_map.is_closed_or_dense_ker`) that the kernel of a linear function `f
 : M →ₗ[R] N` is either closed or dense in `M` provided that `N` is a simple module over `R`. This
 applies, e.g., to the case when `R = N` is a division ring.

mathlib commit https://github.com/leanprover-community/mathlib/commit/06a655b5fcfbda03502f9158bbf6c0f1400886f9

@@ -26,6 +26,12 @@ variable {R : Type u} {M : Type v} {N : Type w} [Ring R] [TopologicalSpace R] [T
   [AddCommGroup M] [AddCommGroup N] [Module R M] [ContinuousSMul R M] [Module R N] [ContinuousAdd M]
   [IsSimpleModule R N]
 
+/- warning: linear_map.is_closed_or_dense_ker -> LinearMap.isClosed_or_dense_ker is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Ring.{u1} R] [_inst_2 : TopologicalSpace.{u1} R] [_inst_3 : TopologicalSpace.{u2} M] [_inst_4 : AddCommGroup.{u2} M] [_inst_5 : AddCommGroup.{u3} N] [_inst_6 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)] [_inst_7 : ContinuousSMul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) _inst_2 _inst_3] [_inst_8 : Module.{u1, u3} R N (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5)] [_inst_9 : ContinuousAdd.{u2} M _inst_3 (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4)))))] [_inst_10 : IsSimpleModule.{u1, u3} R _inst_1 N _inst_5 _inst_8] (l : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8), Or (IsClosed.{u2} M _inst_3 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (CoeTCₓ.coe.{succ u2, succ u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) l))) (Dense.{u2} M _inst_3 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (CoeTCₓ.coe.{succ u2, succ u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (Set.{u2} M) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) l)))
+but is expected to have type
+  forall {R : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Ring.{u1} R] [_inst_2 : TopologicalSpace.{u1} R] [_inst_3 : TopologicalSpace.{u2} M] [_inst_4 : AddCommGroup.{u2} M] [_inst_5 : AddCommGroup.{u3} N] [_inst_6 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4)] [_inst_7 : ContinuousSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} M (SubNegZeroMonoid.toNegZeroClass.{u2} M (SubtractionMonoid.toSubNegZeroMonoid.{u2} M (SubtractionCommMonoid.toSubtractionMonoid.{u2} M (AddCommGroup.toDivisionAddCommMonoid.{u2} M _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6)))) _inst_2 _inst_3] [_inst_8 : Module.{u1, u3} R N (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5)] [_inst_9 : ContinuousAdd.{u2} M _inst_3 (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_4)))))] [_inst_10 : IsSimpleModule.{u1, u3} R _inst_1 N _inst_5 _inst_8] (l : LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8), Or (IsClosed.{u2} M _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) l))) (Dense.{u2} M _inst_3 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) M (Submodule.setLike.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) _inst_6) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))) M N (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u3} R R M N (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_4) (AddCommGroup.toAddCommMonoid.{u3} N _inst_5) _inst_6 _inst_8 (RingHom.id.{u1} R (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) l)))
+Case conversion may be inaccurate. Consider using '#align linear_map.is_closed_or_dense_ker LinearMap.isClosed_or_dense_kerₓ'. -/
 /-- The kernel of a linear map taking values in a simple module over the base ring is closed or
 dense. Applies, e.g., to the case when `R = N` is a division ring. -/
 theorem LinearMap.isClosed_or_dense_ker (l : M →ₗ[R] N) :

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

• depends on: #5966

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

@@ -2,15 +2,12 @@
 Copyright (c) 2022 Anatole Dedecker. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anatole Dedecker
-
-! This file was ported from Lean 3 source module topology.algebra.module.simple
-! leanprover-community/mathlib commit f430769b562e0cedef59ee1ed968d67e0e0c86ba
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.RingTheory.SimpleModule
 import Mathlib.Topology.Algebra.Module.Basic
 
+#align_import topology.algebra.module.simple from "leanprover-community/mathlib"@"f430769b562e0cedef59ee1ed968d67e0e0c86ba"
+
 /-!
 # The kernel of a linear function is closed or dense
 

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>

@@ -26,7 +26,6 @@ variable {R : Type u} {M : Type v} {N : Type w} [Ring R] [TopologicalSpace R] [T
   [AddCommGroup M] [AddCommGroup N] [Module R M] [ContinuousSMul R M] [Module R N] [ContinuousAdd M]
   [IsSimpleModule R N]
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 /-- The kernel of a linear map taking values in a simple module over the base ring is closed or
 dense. Applies, e.g., to the case when `R = N` is a division ring. -/
 theorem LinearMap.isClosed_or_dense_ker (l : M →ₗ[R] N) :

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