algebra.module.bimodule | Mathlib porting status

Changes since the initial port

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

Changes in mathlib3

58cef51f

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

33c67ae6

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2022 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
 -/
-import RingTheory.TensorProduct
+import LinearAlgebra.TensorProduct.Tower
 
 #align_import algebra.module.bimodule from "leanprover-community/mathlib"@"33c67ae661dd8988516ff7f247b0be3018cdd952"

33c67ae6

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2022 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
 -/
-import Mathbin.RingTheory.TensorProduct
+import RingTheory.TensorProduct
 
 #align_import algebra.module.bimodule from "leanprover-community/mathlib"@"33c67ae661dd8988516ff7f247b0be3018cdd952"

33c67ae6

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2022 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
-
-! This file was ported from Lean 3 source module algebra.module.bimodule
-! leanprover-community/mathlib commit 33c67ae661dd8988516ff7f247b0be3018cdd952
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.RingTheory.TensorProduct
 
+#align_import algebra.module.bimodule from "leanprover-community/mathlib"@"33c67ae661dd8988516ff7f247b0be3018cdd952"
+
 /-!
 # Bimodules

33c67ae6

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -82,6 +82,7 @@ variable [IsScalarTower R A M] [IsScalarTower R B M]
 
 variable [SMulCommClass A B M]
 
+#print Subbimodule.mk /-
 /-- A constructor for a subbimodule which demands closure under the two sets of scalars
 individually, rather than jointly via their tensor product.
 
@@ -97,19 +98,25 @@ def mk (p : AddSubmonoid M) (hA : ∀ (a : A) {m : M}, m ∈ p → a • m ∈ p
         (fun a b hm => by simpa only [TensorProduct.Algebra.smul_def] using hA a (hB b hm))
         fun z w hz hw hm => by simpa only [add_smul] using p.add_mem (hz hm) (hw hm) }
 #align subbimodule.mk Subbimodule.mk
+-/
 
+#print Subbimodule.smul_mem /-
 theorem smul_mem (p : Submodule (A ⊗[R] B) M) (a : A) {m : M} (hm : m ∈ p) : a • m ∈ p :=
   by
   suffices a • m = a ⊗ₜ[R] (1 : B) • m by exact this.symm ▸ p.smul_mem _ hm
   simp [TensorProduct.Algebra.smul_def]
 #align subbimodule.smul_mem Subbimodule.smul_mem
+-/
 
+#print Subbimodule.smul_mem' /-
 theorem smul_mem' (p : Submodule (A ⊗[R] B) M) (b : B) {m : M} (hm : m ∈ p) : b • m ∈ p :=
   by
   suffices b • m = (1 : A) ⊗ₜ[R] b • m by exact this.symm ▸ p.smul_mem _ hm
   simp [TensorProduct.Algebra.smul_def]
 #align subbimodule.smul_mem' Subbimodule.smul_mem'
+-/
 
+#print Subbimodule.baseChange /-
 /-- If `A` and `B` are also `algebra`s over yet another set of scalars `S` then we may "base change"
 from `R` to `S`. -/
 @[simps]
@@ -118,7 +125,9 @@ def baseChange (S : Type _) [CommSemiring S] [Module S M] [Algebra S A] [Algebra
     Submodule (A ⊗[S] B) M :=
   mk p.toAddSubmonoid (smul_mem p) (smul_mem' p)
 #align subbimodule.base_change Subbimodule.baseChange
+-/
 
+#print Subbimodule.toSubmodule /-
 /-- Forgetting the `B` action, a `submodule` over `A ⊗[R] B` is just a `submodule` over `A`. -/
 @[simps]
 def toSubmodule (p : Submodule (A ⊗[R] B) M) : Submodule A M :=
@@ -126,7 +135,9 @@ def toSubmodule (p : Submodule (A ⊗[R] B) M) : Submodule A M :=
     carrier := p
     smul_mem' := smul_mem p }
 #align subbimodule.to_submodule Subbimodule.toSubmodule
+-/
 
+#print Subbimodule.toSubmodule' /-
 /-- Forgetting the `A` action, a `submodule` over `A ⊗[R] B` is just a `submodule` over `B`. -/
 @[simps]
 def toSubmodule' (p : Submodule (A ⊗[R] B) M) : Submodule B M :=
@@ -134,6 +145,7 @@ def toSubmodule' (p : Submodule (A ⊗[R] B) M) : Submodule B M :=
     carrier := p
     smul_mem' := smul_mem' p }
 #align subbimodule.to_submodule' Subbimodule.toSubmodule'
+-/
 
 end Algebra
 
@@ -143,19 +155,23 @@ variable (R S M : Type _) [Ring R] [Ring S]
 
 variable [AddCommGroup M] [Module R M] [Module S M] [SMulCommClass R S M]
 
+#print Subbimodule.toSubbimoduleInt /-
 /-- A `submodule` over `R ⊗[ℕ] S` is naturally also a `submodule` over the canonically-isomorphic
 ring `R ⊗[ℤ] S`. -/
 @[simps]
 def toSubbimoduleInt (p : Submodule (R ⊗[ℕ] S) M) : Submodule (R ⊗[ℤ] S) M :=
   baseChange ℤ p
 #align subbimodule.to_subbimodule_int Subbimodule.toSubbimoduleInt
+-/
 
+#print Subbimodule.toSubbimoduleNat /-
 /-- A `submodule` over `R ⊗[ℤ] S` is naturally also a `submodule` over the canonically-isomorphic
 ring `R ⊗[ℕ] S`. -/
 @[simps]
 def toSubbimoduleNat (p : Submodule (R ⊗[ℤ] S) M) : Submodule (R ⊗[ℕ] S) M :=
   baseChange ℕ p
 #align subbimodule.to_subbimodule_nat Subbimodule.toSubbimoduleNat
+-/
 
 end Ring

33c67ae6

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -62,7 +62,7 @@ Develop the theory of two-sided ideals, which have type `submodule (R ⊗[ℕ] R
 -/
 
 
-open TensorProduct
+open scoped TensorProduct
 
 attribute [local instance] TensorProduct.Algebra.module

33c67ae6

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -82,9 +82,6 @@ variable [IsScalarTower R A M] [IsScalarTower R B M]
 
 variable [SMulCommClass A B M]
 
-/- warning: subbimodule.mk -> Subbimodule.mk is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align subbimodule.mk Subbimodule.mkₓ'. -/
 /-- A constructor for a subbimodule which demands closure under the two sets of scalars
 individually, rather than jointly via their tensor product.
 
@@ -101,27 +98,18 @@ def mk (p : AddSubmonoid M) (hA : ∀ (a : A) {m : M}, m ∈ p → a • m ∈ p
         fun z w hz hw hm => by simpa only [add_smul] using p.add_mem (hz hm) (hw hm) }
 #align subbimodule.mk Subbimodule.mk
 
-/- warning: subbimodule.smul_mem -> Subbimodule.smul_mem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align subbimodule.smul_mem Subbimodule.smul_memₓ'. -/
 theorem smul_mem (p : Submodule (A ⊗[R] B) M) (a : A) {m : M} (hm : m ∈ p) : a • m ∈ p :=
   by
   suffices a • m = a ⊗ₜ[R] (1 : B) • m by exact this.symm ▸ p.smul_mem _ hm
   simp [TensorProduct.Algebra.smul_def]
 #align subbimodule.smul_mem Subbimodule.smul_mem
 
-/- warning: subbimodule.smul_mem' -> Subbimodule.smul_mem' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align subbimodule.smul_mem' Subbimodule.smul_mem'ₓ'. -/
 theorem smul_mem' (p : Submodule (A ⊗[R] B) M) (b : B) {m : M} (hm : m ∈ p) : b • m ∈ p :=
   by
   suffices b • m = (1 : A) ⊗ₜ[R] b • m by exact this.symm ▸ p.smul_mem _ hm
   simp [TensorProduct.Algebra.smul_def]
 #align subbimodule.smul_mem' Subbimodule.smul_mem'
 
-/- warning: subbimodule.base_change -> Subbimodule.baseChange is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align subbimodule.base_change Subbimodule.baseChangeₓ'. -/
 /-- If `A` and `B` are also `algebra`s over yet another set of scalars `S` then we may "base change"
 from `R` to `S`. -/
 @[simps]
@@ -131,9 +119,6 @@ def baseChange (S : Type _) [CommSemiring S] [Module S M] [Algebra S A] [Algebra
   mk p.toAddSubmonoid (smul_mem p) (smul_mem' p)
 #align subbimodule.base_change Subbimodule.baseChange
 
-/- warning: subbimodule.to_submodule -> Subbimodule.toSubmodule is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align subbimodule.to_submodule Subbimodule.toSubmoduleₓ'. -/
 /-- Forgetting the `B` action, a `submodule` over `A ⊗[R] B` is just a `submodule` over `A`. -/
 @[simps]
 def toSubmodule (p : Submodule (A ⊗[R] B) M) : Submodule A M :=
@@ -142,9 +127,6 @@ def toSubmodule (p : Submodule (A ⊗[R] B) M) : Submodule A M :=
     smul_mem' := smul_mem p }
 #align subbimodule.to_submodule Subbimodule.toSubmodule
 
-/- warning: subbimodule.to_submodule' -> Subbimodule.toSubmodule' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align subbimodule.to_submodule' Subbimodule.toSubmodule'ₓ'. -/
 /-- Forgetting the `A` action, a `submodule` over `A ⊗[R] B` is just a `submodule` over `B`. -/
 @[simps]
 def toSubmodule' (p : Submodule (A ⊗[R] B) M) : Submodule B M :=
@@ -161,9 +143,6 @@ variable (R S M : Type _) [Ring R] [Ring S]
 
 variable [AddCommGroup M] [Module R M] [Module S M] [SMulCommClass R S M]
 
-/- warning: subbimodule.to_subbimodule_int -> Subbimodule.toSubbimoduleInt is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align subbimodule.to_subbimodule_int Subbimodule.toSubbimoduleIntₓ'. -/
 /-- A `submodule` over `R ⊗[ℕ] S` is naturally also a `submodule` over the canonically-isomorphic
 ring `R ⊗[ℤ] S`. -/
 @[simps]
@@ -171,9 +150,6 @@ def toSubbimoduleInt (p : Submodule (R ⊗[ℕ] S) M) : Submodule (R ⊗[ℤ] S)
   baseChange ℤ p
 #align subbimodule.to_subbimodule_int Subbimodule.toSubbimoduleInt
 
-/- warning: subbimodule.to_subbimodule_nat -> Subbimodule.toSubbimoduleNat is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align subbimodule.to_subbimodule_nat Subbimodule.toSubbimoduleNatₓ'. -/
 /-- A `submodule` over `R ⊗[ℤ] S` is naturally also a `submodule` over the canonically-isomorphic
 ring `R ⊗[ℕ] S`. -/
 @[simps]

33c67ae6

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -83,10 +83,7 @@ variable [IsScalarTower R A M] [IsScalarTower R B M]
 variable [SMulCommClass A B M]
 
 /- warning: subbimodule.mk -> Subbimodule.mk is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8))))) (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R B (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R B (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (Module.toMulActionWithZero.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9))))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))] (p : AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))), (forall (a : A) {m : M}, (Membership.Mem.{u4, u4} M (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SetLike.hasMem.{u4, u4} (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) M (AddSubmonoid.setLike.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)))) m p) -> (Membership.Mem.{u4, u4} M (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SetLike.hasMem.{u4, u4} (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) M (AddSubmonoid.setLike.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)))) (SMul.smul.{u2, u4} A M (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) a m) p)) -> (forall (b : B) {m : M}, (Membership.Mem.{u4, u4} M (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SetLike.hasMem.{u4, u4} (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) M (AddSubmonoid.setLike.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)))) m p) -> (Membership.Mem.{u4, u4} M (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SetLike.hasMem.{u4, u4} (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) M (AddSubmonoid.setLike.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)))) (SMul.smul.{u3, u4} B M (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) b m) p)) -> (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))
-but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_4 _inst_8) (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u1, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u4} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (Algebra.toSMul.{u1, u3} R B _inst_1 _inst_5 _inst_9) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toSMul.{u1, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u4} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))] (p : AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))), (forall (a : A) {m : M}, (Membership.mem.{u4, u4} M (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SetLike.instMembership.{u4, u4} (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) M (AddSubmonoid.instSetLikeAddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)))) m p) -> (Membership.mem.{u4, u4} M (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SetLike.instMembership.{u4, u4} (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) M (AddSubmonoid.instSetLikeAddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)))) (HSMul.hSMul.{u2, u4, u4} A M M (instHSMul.{u2, u4} A M (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6))))) a m) p)) -> (forall (b : B) {m : M}, (Membership.mem.{u4, u4} M (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SetLike.instMembership.{u4, u4} (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) M (AddSubmonoid.instSetLikeAddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)))) m p) -> (Membership.mem.{u4, u4} M (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SetLike.instMembership.{u4, u4} (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) M (AddSubmonoid.instSetLikeAddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)))) (HSMul.hSMul.{u3, u4, u4} B M M (instHSMul.{u3, u4} B M (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))) b m) p)) -> (Submodule.{max u3 u2, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))
+<too large>
 Case conversion may be inaccurate. Consider using '#align subbimodule.mk Subbimodule.mkₓ'. -/
 /-- A constructor for a subbimodule which demands closure under the two sets of scalars
 individually, rather than jointly via their tensor product.
@@ -105,10 +102,7 @@ def mk (p : AddSubmonoid M) (hA : ∀ (a : A) {m : M}, m ∈ p → a • m ∈ p
 #align subbimodule.mk Subbimodule.mk
 
 /- warning: subbimodule.smul_mem -> Subbimodule.smul_mem is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8))))) (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R B (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R B (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (Module.toMulActionWithZero.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9))))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))] (p : Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (a : A) {m : M}, (Membership.Mem.{u4, u4} M (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (SetLike.hasMem.{u4, u4} (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) M (Submodule.setLike.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))) m p) -> (Membership.Mem.{u4, u4} M (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (SetLike.hasMem.{u4, u4} (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) M (Submodule.setLike.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))) (SMul.smul.{u2, u4} A M (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) a m) p)
-but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u3}} {B : Type.{u4}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u3} A] [_inst_5 : Semiring.{u4} B] [_inst_6 : Module.{u3, u2} A M _inst_4 _inst_2] [_inst_7 : Module.{u4, u2} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u3} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u4} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u3, u2} R A M (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_4 _inst_8) (SMulZeroClass.toSMul.{u3, u2} A M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} A M (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_4)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} A M (Semiring.toMonoidWithZero.{u3} A _inst_4) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u3, u2} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u4, u2} R B M (Algebra.toSMul.{u1, u4} R B _inst_1 _inst_5 _inst_9) (SMulZeroClass.toSMul.{u4, u2} B M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u4, u2} B M (MonoidWithZero.toZero.{u4} B (Semiring.toMonoidWithZero.{u4} B _inst_5)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u4, u2} B M (Semiring.toMonoidWithZero.{u4} B _inst_5) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u4, u2} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u3, u4, u2} A B M (SMulZeroClass.toSMul.{u3, u2} A M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} A M (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_4)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} A M (Semiring.toMonoidWithZero.{u3} A _inst_4) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u3, u2} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u4, u2} B M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u4, u2} B M (MonoidWithZero.toZero.{u4} B (Semiring.toMonoidWithZero.{u4} B _inst_5)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u4, u2} B M (Semiring.toMonoidWithZero.{u4} B _inst_5) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u4, u2} B M _inst_5 _inst_2 _inst_7))))] (p : Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (a : A) {m : M}, (Membership.mem.{u2, u2} M (Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (SetLike.instMembership.{u2, u2} (Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) M (Submodule.setLike.{max u3 u4, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))) m p) -> (Membership.mem.{u2, u2} M (Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (SetLike.instMembership.{u2, u2} (Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) M (Submodule.setLike.{max u3 u4, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))) (HSMul.hSMul.{u3, u2, u2} A M M (instHSMul.{u3, u2} A M (SMulZeroClass.toSMul.{u3, u2} A M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} A M (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_4)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} A M (Semiring.toMonoidWithZero.{u3} A _inst_4) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u3, u2} A M _inst_4 _inst_2 _inst_6))))) a m) p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align subbimodule.smul_mem Subbimodule.smul_memₓ'. -/
 theorem smul_mem (p : Submodule (A ⊗[R] B) M) (a : A) {m : M} (hm : m ∈ p) : a • m ∈ p :=
   by
@@ -117,10 +111,7 @@ theorem smul_mem (p : Submodule (A ⊗[R] B) M) (a : A) {m : M} (hm : m ∈ p) :
 #align subbimodule.smul_mem Subbimodule.smul_mem
 
 /- warning: subbimodule.smul_mem' -> Subbimodule.smul_mem' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8))))) (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R B (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R B (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (Module.toMulActionWithZero.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9))))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))] (p : Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (b : B) {m : M}, (Membership.Mem.{u4, u4} M (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (SetLike.hasMem.{u4, u4} (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) M (Submodule.setLike.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))) m p) -> (Membership.Mem.{u4, u4} M (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (SetLike.hasMem.{u4, u4} (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) M (Submodule.setLike.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))) (SMul.smul.{u3, u4} B M (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) b m) p)
-but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u3}} {B : Type.{u4}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u3} A] [_inst_5 : Semiring.{u4} B] [_inst_6 : Module.{u3, u2} A M _inst_4 _inst_2] [_inst_7 : Module.{u4, u2} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u3} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u4} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u3, u2} R A M (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_4 _inst_8) (SMulZeroClass.toSMul.{u3, u2} A M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} A M (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_4)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} A M (Semiring.toMonoidWithZero.{u3} A _inst_4) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u3, u2} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u4, u2} R B M (Algebra.toSMul.{u1, u4} R B _inst_1 _inst_5 _inst_9) (SMulZeroClass.toSMul.{u4, u2} B M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u4, u2} B M (MonoidWithZero.toZero.{u4} B (Semiring.toMonoidWithZero.{u4} B _inst_5)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u4, u2} B M (Semiring.toMonoidWithZero.{u4} B _inst_5) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u4, u2} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u3, u4, u2} A B M (SMulZeroClass.toSMul.{u3, u2} A M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} A M (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_4)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} A M (Semiring.toMonoidWithZero.{u3} A _inst_4) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u3, u2} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u4, u2} B M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u4, u2} B M (MonoidWithZero.toZero.{u4} B (Semiring.toMonoidWithZero.{u4} B _inst_5)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u4, u2} B M (Semiring.toMonoidWithZero.{u4} B _inst_5) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u4, u2} B M _inst_5 _inst_2 _inst_7))))] (p : Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (b : B) {m : M}, (Membership.mem.{u2, u2} M (Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (SetLike.instMembership.{u2, u2} (Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) M (Submodule.setLike.{max u3 u4, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))) m p) -> (Membership.mem.{u2, u2} M (Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (SetLike.instMembership.{u2, u2} (Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) M (Submodule.setLike.{max u3 u4, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))) (HSMul.hSMul.{u4, u2, u2} B M M (instHSMul.{u4, u2} B M (SMulZeroClass.toSMul.{u4, u2} B M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u4, u2} B M (MonoidWithZero.toZero.{u4} B (Semiring.toMonoidWithZero.{u4} B _inst_5)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u4, u2} B M (Semiring.toMonoidWithZero.{u4} B _inst_5) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u4, u2} B M _inst_5 _inst_2 _inst_7))))) b m) p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align subbimodule.smul_mem' Subbimodule.smul_mem'ₓ'. -/
 theorem smul_mem' (p : Submodule (A ⊗[R] B) M) (b : B) {m : M} (hm : m ∈ p) : b • m ∈ p :=
   by
@@ -129,10 +120,7 @@ theorem smul_mem' (p : Submodule (A ⊗[R] B) M) (b : B) {m : M} (hm : m ∈ p)
 #align subbimodule.smul_mem' Subbimodule.smul_mem'
 
 /- warning: subbimodule.base_change -> Subbimodule.baseChange is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8))))) (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R B (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R B (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (Module.toMulActionWithZero.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9))))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))] (S : Type.{u5}) [_inst_13 : CommSemiring.{u5} S] [_inst_14 : Module.{u5, u4} S M (CommSemiring.toSemiring.{u5} S _inst_13) _inst_2] [_inst_15 : Algebra.{u5, u2} S A _inst_13 _inst_4] [_inst_16 : Algebra.{u5, u3} S B _inst_13 _inst_5] [_inst_17 : IsScalarTower.{u5, u2, u4} S A M (SMulZeroClass.toHasSmul.{u5, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u5, u2} S A (MulZeroClass.toHasZero.{u5} S (MulZeroOneClass.toMulZeroClass.{u5} S (MonoidWithZero.toMulZeroOneClass.{u5} S (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u5, u2} S A (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (Module.toMulActionWithZero.{u5, u2} S A (CommSemiring.toSemiring.{u5} S _inst_13) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u5, u2} S A _inst_13 _inst_4 _inst_15))))) (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u5, u4} S M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u5, u4} S M (MulZeroClass.toHasZero.{u5} S (MulZeroOneClass.toMulZeroClass.{u5} S (MonoidWithZero.toMulZeroOneClass.{u5} S (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u5, u4} S M (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u5, u4} S M (CommSemiring.toSemiring.{u5} S _inst_13) _inst_2 _inst_14))))] [_inst_18 : IsScalarTower.{u5, u3, u4} S B M (SMulZeroClass.toHasSmul.{u5, u3} S B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (SMulWithZero.toSmulZeroClass.{u5, u3} S B (MulZeroClass.toHasZero.{u5} S (MulZeroOneClass.toMulZeroClass.{u5} S (MonoidWithZero.toMulZeroOneClass.{u5} S (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13))))) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (MulActionWithZero.toSMulWithZero.{u5, u3} S B (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13)) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (Module.toMulActionWithZero.{u5, u3} S B (CommSemiring.toSemiring.{u5} S _inst_13) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u5, u3} S B _inst_13 _inst_5 _inst_16))))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toHasSmul.{u5, u4} S M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u5, u4} S M (MulZeroClass.toHasZero.{u5} S (MulZeroOneClass.toMulZeroClass.{u5} S (MonoidWithZero.toMulZeroOneClass.{u5} S (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u5, u4} S M (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u5, u4} S M (CommSemiring.toSemiring.{u5} S _inst_13) _inst_2 _inst_14))))], (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) -> (Submodule.{max u2 u3, u4} (TensorProduct.{u5, u2, u3} S _inst_13 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u5, u2} S A _inst_13 _inst_4 _inst_15) (Algebra.toModule.{u5, u3} S B _inst_13 _inst_5 _inst_16)) M (Algebra.TensorProduct.TensorProduct.semiring.{u5, u2, u3} S _inst_13 A _inst_4 _inst_15 B _inst_5 _inst_16) _inst_2 (TensorProduct.Algebra.module.{u5, u2, u3, u4} S A B M _inst_13 _inst_2 _inst_14 _inst_4 _inst_5 _inst_6 _inst_7 _inst_15 _inst_16 _inst_17 _inst_18 _inst_12))
-but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_4 _inst_8) (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u1, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u4} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (Algebra.toSMul.{u1, u3} R B _inst_1 _inst_5 _inst_9) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toSMul.{u1, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u4} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))] (S : Type.{u5}) [_inst_13 : CommSemiring.{u5} S] [_inst_14 : Module.{u5, u4} S M (CommSemiring.toSemiring.{u5} S _inst_13) _inst_2] [_inst_15 : Algebra.{u5, u2} S A _inst_13 _inst_4] [_inst_16 : Algebra.{u5, u3} S B _inst_13 _inst_5] [_inst_17 : IsScalarTower.{u5, u2, u4} S A M (Algebra.toSMul.{u5, u2} S A _inst_13 _inst_4 _inst_15) (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u5, u4} S M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u5, u4} S M (CommMonoidWithZero.toZero.{u5} S (CommSemiring.toCommMonoidWithZero.{u5} S _inst_13)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u5, u4} S M (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u5, u4} S M (CommSemiring.toSemiring.{u5} S _inst_13) _inst_2 _inst_14))))] [_inst_18 : IsScalarTower.{u5, u3, u4} S B M (Algebra.toSMul.{u5, u3} S B _inst_13 _inst_5 _inst_16) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toSMul.{u5, u4} S M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u5, u4} S M (CommMonoidWithZero.toZero.{u5} S (CommSemiring.toCommMonoidWithZero.{u5} S _inst_13)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u5, u4} S M (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u5, u4} S M (CommSemiring.toSemiring.{u5} S _inst_13) _inst_2 _inst_14))))], (Submodule.{max u3 u2, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) -> (Submodule.{max u3 u2, u4} (TensorProduct.{u5, u2, u3} S _inst_13 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u5, u2} S A _inst_13 _inst_4 _inst_15) (Algebra.toModule.{u5, u3} S B _inst_13 _inst_5 _inst_16)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u5, u2, u3} S _inst_13 A _inst_4 _inst_15 B _inst_5 _inst_16) _inst_2 (TensorProduct.Algebra.module.{u5, u2, u3, u4} S A B M _inst_13 _inst_2 _inst_14 _inst_4 _inst_5 _inst_6 _inst_7 _inst_15 _inst_16 _inst_17 _inst_18 _inst_12))
+<too large>
 Case conversion may be inaccurate. Consider using '#align subbimodule.base_change Subbimodule.baseChangeₓ'. -/
 /-- If `A` and `B` are also `algebra`s over yet another set of scalars `S` then we may "base change"
 from `R` to `S`. -/
@@ -144,10 +132,7 @@ def baseChange (S : Type _) [CommSemiring S] [Module S M] [Algebra S A] [Algebra
 #align subbimodule.base_change Subbimodule.baseChange
 
 /- warning: subbimodule.to_submodule -> Subbimodule.toSubmodule is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8))))) (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R B (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R B (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (Module.toMulActionWithZero.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9))))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))], (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) -> (Submodule.{u2, u4} A M _inst_4 _inst_2 _inst_6)
-but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_4 _inst_8) (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u1, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u4} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (Algebra.toSMul.{u1, u3} R B _inst_1 _inst_5 _inst_9) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toSMul.{u1, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u4} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))], (Submodule.{max u3 u2, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) -> (Submodule.{u2, u4} A M _inst_4 _inst_2 _inst_6)
+<too large>
 Case conversion may be inaccurate. Consider using '#align subbimodule.to_submodule Subbimodule.toSubmoduleₓ'. -/
 /-- Forgetting the `B` action, a `submodule` over `A ⊗[R] B` is just a `submodule` over `A`. -/
 @[simps]
@@ -158,10 +143,7 @@ def toSubmodule (p : Submodule (A ⊗[R] B) M) : Submodule A M :=
 #align subbimodule.to_submodule Subbimodule.toSubmodule
 
 /- warning: subbimodule.to_submodule' -> Subbimodule.toSubmodule' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8))))) (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R B (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R B (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (Module.toMulActionWithZero.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9))))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))], (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) -> (Submodule.{u3, u4} B M _inst_5 _inst_2 _inst_7)
-but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_4 _inst_8) (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u1, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u4} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (Algebra.toSMul.{u1, u3} R B _inst_1 _inst_5 _inst_9) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toSMul.{u1, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u4} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))], (Submodule.{max u3 u2, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) -> (Submodule.{u3, u4} B M _inst_5 _inst_2 _inst_7)
+<too large>
 Case conversion may be inaccurate. Consider using '#align subbimodule.to_submodule' Subbimodule.toSubmodule'ₓ'. -/
 /-- Forgetting the `A` action, a `submodule` over `A ⊗[R] B` is just a `submodule` over `B`. -/
 @[simps]
@@ -180,10 +162,7 @@ variable (R S M : Type _) [Ring R] [Ring S]
 variable [AddCommGroup M] [Module R M] [Module S M] [SMulCommClass R S M]
 
 /- warning: subbimodule.to_subbimodule_int -> Subbimodule.toSubbimoduleInt is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (S : Type.{u2}) (M : Type.{u3}) [_inst_1 : Ring.{u1} R] [_inst_2 : Ring.{u2} S] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_5 : Module.{u2, u3} S M (Ring.toSemiring.{u2} S _inst_2) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_6 : SMulCommClass.{u1, u2, u3} R S M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_4)))) (SMulZeroClass.toHasSmul.{u2, u3} S M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (SMulWithZero.toSmulZeroClass.{u2, u3} S M (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (Ring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (MulActionWithZero.toSMulWithZero.{u2, u3} S M (Semiring.toMonoidWithZero.{u2} S (Ring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (Module.toMulActionWithZero.{u2, u3} S M (Ring.toSemiring.{u2} S _inst_2) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))], (Submodule.{max u1 u2, u3} (TensorProduct.{0, u1, u2} Nat Nat.commSemiring R S (AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toAddCommGroup.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))) (AddCommMonoid.natModule.{u1} R (AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))))) (AddCommMonoid.natModule.{u2} S (AddCommGroup.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toAddCommGroup.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))))) M (Algebra.TensorProduct.TensorProduct.semiring.{0, u1, u2} Nat Nat.commSemiring R (Ring.toSemiring.{u1} R _inst_1) (algebraNat.{u1} R (Ring.toSemiring.{u1} R _inst_1)) S (Ring.toSemiring.{u2} S _inst_2) (algebraNat.{u2} S (Ring.toSemiring.{u2} S _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (TensorProduct.Algebra.module.{0, u1, u2, u3} Nat R S M Nat.commSemiring (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommMonoid.natModule.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)) (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} S _inst_2) _inst_4 _inst_5 (algebraNat.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (algebraNat.{u2} S (Ring.toSemiring.{u2} S _inst_2)) (Subbimodule.toSubbimoduleInt._proof_1.{u1, u3} R M _inst_1 _inst_3 _inst_4) (Subbimodule.toSubbimoduleInt._proof_2.{u2, u3} S M _inst_2 _inst_3 _inst_5) _inst_6)) -> (Submodule.{max u1 u2, u3} (TensorProduct.{0, u1, u2} Int Int.commSemiring R S (AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toAddCommGroup.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))) (AddCommGroup.intModule.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) (AddCommGroup.intModule.{u2} S (NonUnitalNonAssocRing.toAddCommGroup.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2))))) M (Algebra.TensorProduct.TensorProduct.semiring.{0, u1, u2} Int Int.commSemiring R (Ring.toSemiring.{u1} R _inst_1) (algebraInt.{u1} R _inst_1) S (Ring.toSemiring.{u2} S _inst_2) (algebraInt.{u2} S _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align subbimodule.to_subbimodule_int Subbimodule.toSubbimoduleIntₓ'. -/
 /-- A `submodule` over `R ⊗[ℕ] S` is naturally also a `submodule` over the canonically-isomorphic
 ring `R ⊗[ℤ] S`. -/
@@ -193,10 +172,7 @@ def toSubbimoduleInt (p : Submodule (R ⊗[ℕ] S) M) : Submodule (R ⊗[ℤ] S)
 #align subbimodule.to_subbimodule_int Subbimodule.toSubbimoduleInt
 
 /- warning: subbimodule.to_subbimodule_nat -> Subbimodule.toSubbimoduleNat is a dubious translation:
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(AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_4)))) (SMulZeroClass.toSMul.{u2, u3} S M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u3} S M (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S (Ring.toSemiring.{u2} S _inst_2))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S M (Semiring.toMonoidWithZero.{u2} S (Ring.toSemiring.{u2} S _inst_2)) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u2, u3} S M (Ring.toSemiring.{u2} S _inst_2) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))], (Submodule.{max u2 u1, u3} (TensorProduct.{0, u1, u2} Int Int.instCommSemiringInt R S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))) (AddCommGroup.intModule.{u1} R (Ring.toAddCommGroup.{u1} R _inst_1)) (AddCommGroup.intModule.{u2} S (Ring.toAddCommGroup.{u2} S _inst_2))) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{0, u1, u2} Int Int.instCommSemiringInt R (Ring.toSemiring.{u1} R _inst_1) (algebraInt.{u1} R _inst_1) S (Ring.toSemiring.{u2} S _inst_2) (algebraInt.{u2} S _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (TensorProduct.Algebra.module.{0, u1, u2, u3} Int R S M Int.instCommSemiringInt (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.intModule.{u3} M _inst_3) (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} S _inst_2) _inst_4 _inst_5 (algebraInt.{u1} R _inst_1) (algebraInt.{u2} S _inst_2) (AddCommGroup.intIsScalarTower.{u1, u3} R M _inst_1 _inst_3 _inst_4) (AddCommGroup.intIsScalarTower.{u2, u3} S M _inst_2 _inst_3 _inst_5) _inst_6)) -> (Submodule.{max u2 u1, u3} (TensorProduct.{0, u1, u2} Nat Nat.commSemiring R S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))) (AddCommMonoid.natModule.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))))) (AddCommMonoid.natModule.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))))) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{0, u1, u2} Nat Nat.commSemiring R (Ring.toSemiring.{u1} R _inst_1) (algebraNat.{u1} R (Ring.toSemiring.{u1} R _inst_1)) S (Ring.toSemiring.{u2} S _inst_2) (algebraNat.{u2} S (Ring.toSemiring.{u2} S _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (TensorProduct.Algebra.module.{0, u1, u2, u3} Nat R S M Nat.commSemiring (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommMonoid.natModule.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)) (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} S _inst_2) _inst_4 _inst_5 (algebraNat.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (algebraNat.{u2} S (Ring.toSemiring.{u2} S _inst_2)) (AddCommMonoid.nat_isScalarTower.{u1, u3} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_4) (AddCommMonoid.nat_isScalarTower.{u2, u3} S M (Ring.toSemiring.{u2} S _inst_2) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5) _inst_6))
+<too large>
 Case conversion may be inaccurate. Consider using '#align subbimodule.to_subbimodule_nat Subbimodule.toSubbimoduleNatₓ'. -/
 /-- A `submodule` over `R ⊗[ℤ] S` is naturally also a `submodule` over the canonically-isomorphic
 ring `R ⊗[ℕ] S`. -/

33c67ae6

bump to nightly-2023-05-21-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/33c67ae661dd8988516ff7f247b0be3018cdd952

7b1466d5

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
 
 ! This file was ported from Lean 3 source module algebra.module.bimodule
-! leanprover-community/mathlib commit 58cef51f7a819e7227224461e392dee423302f2d
+! leanprover-community/mathlib commit 33c67ae661dd8988516ff7f247b0be3018cdd952
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.RingTheory.TensorProduct
 /-!
 # Bimodules
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 One frequently encounters situations in which several sets of scalars act on a single space, subject
 to compatibility condition(s). A distinguished instance of this is the theory of bimodules: one has
 two rings `R`, `S` acting on an additive group `M`, with `R` acting covariantly ("on the left")

58cef51f

bump to nightly-2023-05-18-18

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

4595745c

Diff

@@ -79,6 +79,12 @@ variable [IsScalarTower R A M] [IsScalarTower R B M]
 
 variable [SMulCommClass A B M]
 
+/- warning: subbimodule.mk -> Subbimodule.mk is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8))))) (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R B (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R B (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (Module.toMulActionWithZero.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9))))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))] (p : AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))), (forall (a : A) {m : M}, (Membership.Mem.{u4, u4} M (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SetLike.hasMem.{u4, u4} (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) M (AddSubmonoid.setLike.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)))) m p) -> (Membership.Mem.{u4, u4} M (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SetLike.hasMem.{u4, u4} (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) M (AddSubmonoid.setLike.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)))) (SMul.smul.{u2, u4} A M (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) a m) p)) -> (forall (b : B) {m : M}, (Membership.Mem.{u4, u4} M (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SetLike.hasMem.{u4, u4} (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) M (AddSubmonoid.setLike.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)))) m p) -> (Membership.Mem.{u4, u4} M (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SetLike.hasMem.{u4, u4} (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) M (AddSubmonoid.setLike.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)))) (SMul.smul.{u3, u4} B M (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) b m) p)) -> (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_4 _inst_8) (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u1, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u4} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (Algebra.toSMul.{u1, u3} R B _inst_1 _inst_5 _inst_9) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toSMul.{u1, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u4} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))] (p : AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))), (forall (a : A) {m : M}, (Membership.mem.{u4, u4} M (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SetLike.instMembership.{u4, u4} (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) M (AddSubmonoid.instSetLikeAddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)))) m p) -> (Membership.mem.{u4, u4} M (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SetLike.instMembership.{u4, u4} (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) M (AddSubmonoid.instSetLikeAddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)))) (HSMul.hSMul.{u2, u4, u4} A M M (instHSMul.{u2, u4} A M (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6))))) a m) p)) -> (forall (b : B) {m : M}, (Membership.mem.{u4, u4} M (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SetLike.instMembership.{u4, u4} (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) M (AddSubmonoid.instSetLikeAddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)))) m p) -> (Membership.mem.{u4, u4} M (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SetLike.instMembership.{u4, u4} (AddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) M (AddSubmonoid.instSetLikeAddSubmonoid.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)))) (HSMul.hSMul.{u3, u4, u4} B M M (instHSMul.{u3, u4} B M (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))) b m) p)) -> (Submodule.{max u3 u2, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))
+Case conversion may be inaccurate. Consider using '#align subbimodule.mk Subbimodule.mkₓ'. -/
 /-- A constructor for a subbimodule which demands closure under the two sets of scalars
 individually, rather than jointly via their tensor product.
 
@@ -95,18 +101,36 @@ def mk (p : AddSubmonoid M) (hA : ∀ (a : A) {m : M}, m ∈ p → a • m ∈ p
         fun z w hz hw hm => by simpa only [add_smul] using p.add_mem (hz hm) (hw hm) }
 #align subbimodule.mk Subbimodule.mk
 
+/- warning: subbimodule.smul_mem -> Subbimodule.smul_mem is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8))))) (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R B (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R B (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (Module.toMulActionWithZero.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9))))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))] (p : Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (a : A) {m : M}, (Membership.Mem.{u4, u4} M (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (SetLike.hasMem.{u4, u4} (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) M (Submodule.setLike.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))) m p) -> (Membership.Mem.{u4, u4} M (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (SetLike.hasMem.{u4, u4} (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) M (Submodule.setLike.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))) (SMul.smul.{u2, u4} A M (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) a m) p)
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u3}} {B : Type.{u4}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u3} A] [_inst_5 : Semiring.{u4} B] [_inst_6 : Module.{u3, u2} A M _inst_4 _inst_2] [_inst_7 : Module.{u4, u2} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u3} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u4} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u3, u2} R A M (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_4 _inst_8) (SMulZeroClass.toSMul.{u3, u2} A M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} A M (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_4)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} A M (Semiring.toMonoidWithZero.{u3} A _inst_4) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u3, u2} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u4, u2} R B M (Algebra.toSMul.{u1, u4} R B _inst_1 _inst_5 _inst_9) (SMulZeroClass.toSMul.{u4, u2} B M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u4, u2} B M (MonoidWithZero.toZero.{u4} B (Semiring.toMonoidWithZero.{u4} B _inst_5)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u4, u2} B M (Semiring.toMonoidWithZero.{u4} B _inst_5) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u4, u2} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u3, u4, u2} A B M (SMulZeroClass.toSMul.{u3, u2} A M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} A M (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_4)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} A M (Semiring.toMonoidWithZero.{u3} A _inst_4) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u3, u2} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u4, u2} B M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u4, u2} B M (MonoidWithZero.toZero.{u4} B (Semiring.toMonoidWithZero.{u4} B _inst_5)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u4, u2} B M (Semiring.toMonoidWithZero.{u4} B _inst_5) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u4, u2} B M _inst_5 _inst_2 _inst_7))))] (p : Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (a : A) {m : M}, (Membership.mem.{u2, u2} M (Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (SetLike.instMembership.{u2, u2} (Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) M (Submodule.setLike.{max u3 u4, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))) m p) -> (Membership.mem.{u2, u2} M (Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (SetLike.instMembership.{u2, u2} (Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) M (Submodule.setLike.{max u3 u4, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))) (HSMul.hSMul.{u3, u2, u2} A M M (instHSMul.{u3, u2} A M (SMulZeroClass.toSMul.{u3, u2} A M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} A M (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_4)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} A M (Semiring.toMonoidWithZero.{u3} A _inst_4) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u3, u2} A M _inst_4 _inst_2 _inst_6))))) a m) p)
+Case conversion may be inaccurate. Consider using '#align subbimodule.smul_mem Subbimodule.smul_memₓ'. -/
 theorem smul_mem (p : Submodule (A ⊗[R] B) M) (a : A) {m : M} (hm : m ∈ p) : a • m ∈ p :=
   by
   suffices a • m = a ⊗ₜ[R] (1 : B) • m by exact this.symm ▸ p.smul_mem _ hm
   simp [TensorProduct.Algebra.smul_def]
 #align subbimodule.smul_mem Subbimodule.smul_mem
 
+/- warning: subbimodule.smul_mem' -> Subbimodule.smul_mem' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8))))) (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R B (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R B (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (Module.toMulActionWithZero.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9))))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))] (p : Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (b : B) {m : M}, (Membership.Mem.{u4, u4} M (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (SetLike.hasMem.{u4, u4} (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) M (Submodule.setLike.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))) m p) -> (Membership.Mem.{u4, u4} M (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (SetLike.hasMem.{u4, u4} (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) M (Submodule.setLike.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))) (SMul.smul.{u3, u4} B M (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) b m) p)
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u3}} {B : Type.{u4}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u3} A] [_inst_5 : Semiring.{u4} B] [_inst_6 : Module.{u3, u2} A M _inst_4 _inst_2] [_inst_7 : Module.{u4, u2} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u3} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u4} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u3, u2} R A M (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_4 _inst_8) (SMulZeroClass.toSMul.{u3, u2} A M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} A M (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_4)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} A M (Semiring.toMonoidWithZero.{u3} A _inst_4) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u3, u2} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u4, u2} R B M (Algebra.toSMul.{u1, u4} R B _inst_1 _inst_5 _inst_9) (SMulZeroClass.toSMul.{u4, u2} B M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u4, u2} B M (MonoidWithZero.toZero.{u4} B (Semiring.toMonoidWithZero.{u4} B _inst_5)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u4, u2} B M (Semiring.toMonoidWithZero.{u4} B _inst_5) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u4, u2} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u3, u4, u2} A B M (SMulZeroClass.toSMul.{u3, u2} A M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} A M (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_4)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} A M (Semiring.toMonoidWithZero.{u3} A _inst_4) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u3, u2} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u4, u2} B M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u4, u2} B M (MonoidWithZero.toZero.{u4} B (Semiring.toMonoidWithZero.{u4} B _inst_5)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u4, u2} B M (Semiring.toMonoidWithZero.{u4} B _inst_5) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u4, u2} B M _inst_5 _inst_2 _inst_7))))] (p : Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (b : B) {m : M}, (Membership.mem.{u2, u2} M (Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (SetLike.instMembership.{u2, u2} (Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) M (Submodule.setLike.{max u3 u4, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))) m p) -> (Membership.mem.{u2, u2} M (Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) (SetLike.instMembership.{u2, u2} (Submodule.{max u4 u3, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) M (Submodule.setLike.{max u3 u4, u2} (TensorProduct.{u1, u3, u4} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_5))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u3, u4} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u3, u4, u2} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12))) (HSMul.hSMul.{u4, u2, u2} B M M (instHSMul.{u4, u2} B M (SMulZeroClass.toSMul.{u4, u2} B M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u4, u2} B M (MonoidWithZero.toZero.{u4} B (Semiring.toMonoidWithZero.{u4} B _inst_5)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u4, u2} B M (Semiring.toMonoidWithZero.{u4} B _inst_5) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u4, u2} B M _inst_5 _inst_2 _inst_7))))) b m) p)
+Case conversion may be inaccurate. Consider using '#align subbimodule.smul_mem' Subbimodule.smul_mem'ₓ'. -/
 theorem smul_mem' (p : Submodule (A ⊗[R] B) M) (b : B) {m : M} (hm : m ∈ p) : b • m ∈ p :=
   by
   suffices b • m = (1 : A) ⊗ₜ[R] b • m by exact this.symm ▸ p.smul_mem _ hm
   simp [TensorProduct.Algebra.smul_def]
 #align subbimodule.smul_mem' Subbimodule.smul_mem'
 
+/- warning: subbimodule.base_change -> Subbimodule.baseChange is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8))))) (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R B (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R B (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (Module.toMulActionWithZero.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9))))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))] (S : Type.{u5}) [_inst_13 : CommSemiring.{u5} S] [_inst_14 : Module.{u5, u4} S M (CommSemiring.toSemiring.{u5} S _inst_13) _inst_2] [_inst_15 : Algebra.{u5, u2} S A _inst_13 _inst_4] [_inst_16 : Algebra.{u5, u3} S B _inst_13 _inst_5] [_inst_17 : IsScalarTower.{u5, u2, u4} S A M (SMulZeroClass.toHasSmul.{u5, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u5, u2} S A (MulZeroClass.toHasZero.{u5} S (MulZeroOneClass.toMulZeroClass.{u5} S (MonoidWithZero.toMulZeroOneClass.{u5} S (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u5, u2} S A (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (Module.toMulActionWithZero.{u5, u2} S A (CommSemiring.toSemiring.{u5} S _inst_13) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u5, u2} S A _inst_13 _inst_4 _inst_15))))) (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u5, u4} S M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u5, u4} S M (MulZeroClass.toHasZero.{u5} S (MulZeroOneClass.toMulZeroClass.{u5} S (MonoidWithZero.toMulZeroOneClass.{u5} S (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u5, u4} S M (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u5, u4} S M (CommSemiring.toSemiring.{u5} S _inst_13) _inst_2 _inst_14))))] [_inst_18 : IsScalarTower.{u5, u3, u4} S B M (SMulZeroClass.toHasSmul.{u5, u3} S B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (SMulWithZero.toSmulZeroClass.{u5, u3} S B (MulZeroClass.toHasZero.{u5} S (MulZeroOneClass.toMulZeroClass.{u5} S (MonoidWithZero.toMulZeroOneClass.{u5} S (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13))))) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (MulActionWithZero.toSMulWithZero.{u5, u3} S B (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13)) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (Module.toMulActionWithZero.{u5, u3} S B (CommSemiring.toSemiring.{u5} S _inst_13) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u5, u3} S B _inst_13 _inst_5 _inst_16))))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toHasSmul.{u5, u4} S M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u5, u4} S M (MulZeroClass.toHasZero.{u5} S (MulZeroOneClass.toMulZeroClass.{u5} S (MonoidWithZero.toMulZeroOneClass.{u5} S (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u5, u4} S M (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u5, u4} S M (CommSemiring.toSemiring.{u5} S _inst_13) _inst_2 _inst_14))))], (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) -> (Submodule.{max u2 u3, u4} (TensorProduct.{u5, u2, u3} S _inst_13 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u5, u2} S A _inst_13 _inst_4 _inst_15) (Algebra.toModule.{u5, u3} S B _inst_13 _inst_5 _inst_16)) M (Algebra.TensorProduct.TensorProduct.semiring.{u5, u2, u3} S _inst_13 A _inst_4 _inst_15 B _inst_5 _inst_16) _inst_2 (TensorProduct.Algebra.module.{u5, u2, u3, u4} S A B M _inst_13 _inst_2 _inst_14 _inst_4 _inst_5 _inst_6 _inst_7 _inst_15 _inst_16 _inst_17 _inst_18 _inst_12))
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_4 _inst_8) (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u1, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u4} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (Algebra.toSMul.{u1, u3} R B _inst_1 _inst_5 _inst_9) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toSMul.{u1, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u4} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))] (S : Type.{u5}) [_inst_13 : CommSemiring.{u5} S] [_inst_14 : Module.{u5, u4} S M (CommSemiring.toSemiring.{u5} S _inst_13) _inst_2] [_inst_15 : Algebra.{u5, u2} S A _inst_13 _inst_4] [_inst_16 : Algebra.{u5, u3} S B _inst_13 _inst_5] [_inst_17 : IsScalarTower.{u5, u2, u4} S A M (Algebra.toSMul.{u5, u2} S A _inst_13 _inst_4 _inst_15) (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u5, u4} S M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u5, u4} S M (CommMonoidWithZero.toZero.{u5} S (CommSemiring.toCommMonoidWithZero.{u5} S _inst_13)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u5, u4} S M (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u5, u4} S M (CommSemiring.toSemiring.{u5} S _inst_13) _inst_2 _inst_14))))] [_inst_18 : IsScalarTower.{u5, u3, u4} S B M (Algebra.toSMul.{u5, u3} S B _inst_13 _inst_5 _inst_16) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toSMul.{u5, u4} S M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u5, u4} S M (CommMonoidWithZero.toZero.{u5} S (CommSemiring.toCommMonoidWithZero.{u5} S _inst_13)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u5, u4} S M (Semiring.toMonoidWithZero.{u5} S (CommSemiring.toSemiring.{u5} S _inst_13)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u5, u4} S M (CommSemiring.toSemiring.{u5} S _inst_13) _inst_2 _inst_14))))], (Submodule.{max u3 u2, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) -> (Submodule.{max u3 u2, u4} (TensorProduct.{u5, u2, u3} S _inst_13 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u5, u2} S A _inst_13 _inst_4 _inst_15) (Algebra.toModule.{u5, u3} S B _inst_13 _inst_5 _inst_16)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u5, u2, u3} S _inst_13 A _inst_4 _inst_15 B _inst_5 _inst_16) _inst_2 (TensorProduct.Algebra.module.{u5, u2, u3, u4} S A B M _inst_13 _inst_2 _inst_14 _inst_4 _inst_5 _inst_6 _inst_7 _inst_15 _inst_16 _inst_17 _inst_18 _inst_12))
+Case conversion may be inaccurate. Consider using '#align subbimodule.base_change Subbimodule.baseChangeₓ'. -/
 /-- If `A` and `B` are also `algebra`s over yet another set of scalars `S` then we may "base change"
 from `R` to `S`. -/
 @[simps]
@@ -116,6 +140,12 @@ def baseChange (S : Type _) [CommSemiring S] [Module S M] [Algebra S A] [Algebra
   mk p.toAddSubmonoid (smul_mem p) (smul_mem' p)
 #align subbimodule.base_change Subbimodule.baseChange
 
+/- warning: subbimodule.to_submodule -> Subbimodule.toSubmodule is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8))))) (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R B (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R B (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (Module.toMulActionWithZero.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9))))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))], (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) -> (Submodule.{u2, u4} A M _inst_4 _inst_2 _inst_6)
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_4 _inst_8) (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u1, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u4} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (Algebra.toSMul.{u1, u3} R B _inst_1 _inst_5 _inst_9) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toSMul.{u1, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u4} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))], (Submodule.{max u3 u2, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) -> (Submodule.{u2, u4} A M _inst_4 _inst_2 _inst_6)
+Case conversion may be inaccurate. Consider using '#align subbimodule.to_submodule Subbimodule.toSubmoduleₓ'. -/
 /-- Forgetting the `B` action, a `submodule` over `A ⊗[R] B` is just a `submodule` over `A`. -/
 @[simps]
 def toSubmodule (p : Submodule (A ⊗[R] B) M) : Submodule A M :=
@@ -124,6 +154,12 @@ def toSubmodule (p : Submodule (A ⊗[R] B) M) : Submodule A M :=
     smul_mem' := smul_mem p }
 #align subbimodule.to_submodule Subbimodule.toSubmodule
 
+/- warning: subbimodule.to_submodule' -> Subbimodule.toSubmodule' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8))))) (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R B (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R B (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5)))))) (Module.toMulActionWithZero.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9))))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toHasSmul.{u1, u4} R M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u4} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toHasSmul.{u2, u4} A M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u2, u4} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toHasSmul.{u3, u4} B M (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u3, u4} B M (MulZeroClass.toHasZero.{u3} B (MulZeroOneClass.toMulZeroClass.{u3} B (MonoidWithZero.toMulZeroOneClass.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)))) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddZeroClass.toHasZero.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2))) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))], (Submodule.{max u2 u3, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.TensorProduct.semiring.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) -> (Submodule.{u3, u4} B M _inst_5 _inst_2 _inst_7)
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {M : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u4} M] [_inst_3 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : Semiring.{u2} A] [_inst_5 : Semiring.{u3} B] [_inst_6 : Module.{u2, u4} A M _inst_4 _inst_2] [_inst_7 : Module.{u3, u4} B M _inst_5 _inst_2] [_inst_8 : Algebra.{u1, u2} R A _inst_1 _inst_4] [_inst_9 : Algebra.{u1, u3} R B _inst_1 _inst_5] [_inst_10 : IsScalarTower.{u1, u2, u4} R A M (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_4 _inst_8) (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u1, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u4} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_11 : IsScalarTower.{u1, u3, u4} R B M (Algebra.toSMul.{u1, u3} R B _inst_1 _inst_5 _inst_9) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7)))) (SMulZeroClass.toSMul.{u1, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u4} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u4} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))] [_inst_12 : SMulCommClass.{u2, u3, u4} A B M (SMulZeroClass.toSMul.{u2, u4} A M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_4)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M (Semiring.toMonoidWithZero.{u2} A _inst_4) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u2, u4} A M _inst_4 _inst_2 _inst_6)))) (SMulZeroClass.toSMul.{u3, u4} B M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u4} B M (MonoidWithZero.toZero.{u3} B (Semiring.toMonoidWithZero.{u3} B _inst_5)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u4} B M (Semiring.toMonoidWithZero.{u3} B _inst_5) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_2)) (Module.toMulActionWithZero.{u3, u4} B M _inst_5 _inst_2 _inst_7))))], (Submodule.{max u3 u2, u4} (TensorProduct.{u1, u2, u3} R _inst_1 A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_4))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_5))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_4 _inst_8) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_5 _inst_9)) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{u1, u2, u3} R _inst_1 A _inst_4 _inst_8 B _inst_5 _inst_9) _inst_2 (TensorProduct.Algebra.module.{u1, u2, u3, u4} R A B M _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12)) -> (Submodule.{u3, u4} B M _inst_5 _inst_2 _inst_7)
+Case conversion may be inaccurate. Consider using '#align subbimodule.to_submodule' Subbimodule.toSubmodule'ₓ'. -/
 /-- Forgetting the `A` action, a `submodule` over `A ⊗[R] B` is just a `submodule` over `B`. -/
 @[simps]
 def toSubmodule' (p : Submodule (A ⊗[R] B) M) : Submodule B M :=
@@ -140,6 +176,12 @@ variable (R S M : Type _) [Ring R] [Ring S]
 
 variable [AddCommGroup M] [Module R M] [Module S M] [SMulCommClass R S M]
 
+/- warning: subbimodule.to_subbimodule_int -> Subbimodule.toSubbimoduleInt is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (S : Type.{u2}) (M : Type.{u3}) [_inst_1 : Ring.{u1} R] [_inst_2 : Ring.{u2} S] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_5 : Module.{u2, u3} S M (Ring.toSemiring.{u2} S _inst_2) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_6 : SMulCommClass.{u1, u2, u3} R S M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_4)))) (SMulZeroClass.toHasSmul.{u2, u3} S M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (SMulWithZero.toSmulZeroClass.{u2, u3} S M (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (Ring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (MulActionWithZero.toSMulWithZero.{u2, u3} S M (Semiring.toMonoidWithZero.{u2} S (Ring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (Module.toMulActionWithZero.{u2, u3} S M (Ring.toSemiring.{u2} S _inst_2) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))], (Submodule.{max u1 u2, u3} (TensorProduct.{0, u1, u2} Nat Nat.commSemiring R S (AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toAddCommGroup.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))) (AddCommMonoid.natModule.{u1} R (AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))))) (AddCommMonoid.natModule.{u2} S (AddCommGroup.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toAddCommGroup.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))))) M (Algebra.TensorProduct.TensorProduct.semiring.{0, u1, u2} Nat Nat.commSemiring R (Ring.toSemiring.{u1} R _inst_1) (algebraNat.{u1} R (Ring.toSemiring.{u1} R _inst_1)) S (Ring.toSemiring.{u2} S _inst_2) (algebraNat.{u2} S (Ring.toSemiring.{u2} S _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (TensorProduct.Algebra.module.{0, u1, u2, u3} Nat R S M Nat.commSemiring (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommMonoid.natModule.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)) (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} S _inst_2) _inst_4 _inst_5 (algebraNat.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (algebraNat.{u2} S (Ring.toSemiring.{u2} S _inst_2)) (Subbimodule.toSubbimoduleInt._proof_1.{u1, u3} R M _inst_1 _inst_3 _inst_4) (Subbimodule.toSubbimoduleInt._proof_2.{u2, u3} S M _inst_2 _inst_3 _inst_5) _inst_6)) -> (Submodule.{max u1 u2, u3} (TensorProduct.{0, u1, u2} Int Int.commSemiring R S (AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toAddCommGroup.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))) (AddCommGroup.intModule.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) (AddCommGroup.intModule.{u2} S (NonUnitalNonAssocRing.toAddCommGroup.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2))))) M (Algebra.TensorProduct.TensorProduct.semiring.{0, u1, u2} Int Int.commSemiring R (Ring.toSemiring.{u1} R _inst_1) (algebraInt.{u1} R _inst_1) S (Ring.toSemiring.{u2} S _inst_2) (algebraInt.{u2} S _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (TensorProduct.Algebra.module.{0, u1, u2, u3} Int R S M Int.commSemiring (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.intModule.{u3} M _inst_3) (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} S _inst_2) _inst_4 _inst_5 (algebraInt.{u1} R _inst_1) (algebraInt.{u2} S _inst_2) (AddCommGroup.intIsScalarTower.{u1, u3} R M _inst_1 _inst_3 _inst_4) (AddCommGroup.intIsScalarTower.{u2, u3} S M _inst_2 _inst_3 _inst_5) _inst_6))
+but is expected to have type
+  forall (R : Type.{u1}) (S : Type.{u2}) (M : Type.{u3}) [_inst_1 : Ring.{u1} R] [_inst_2 : Ring.{u2} S] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_5 : Module.{u2, u3} S M (Ring.toSemiring.{u2} S _inst_2) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_6 : SMulCommClass.{u1, u2, u3} R S M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_4)))) (SMulZeroClass.toSMul.{u2, u3} S M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u3} S M (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S (Ring.toSemiring.{u2} S _inst_2))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S M (Semiring.toMonoidWithZero.{u2} S (Ring.toSemiring.{u2} S _inst_2)) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u2, u3} S M (Ring.toSemiring.{u2} S _inst_2) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))], (Submodule.{max u2 u1, u3} (TensorProduct.{0, u1, u2} Nat Nat.commSemiring R S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))) (AddCommMonoid.natModule.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))))) (AddCommMonoid.natModule.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))))) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{0, u1, u2} Nat Nat.commSemiring R (Ring.toSemiring.{u1} R _inst_1) (algebraNat.{u1} R (Ring.toSemiring.{u1} R _inst_1)) S (Ring.toSemiring.{u2} S _inst_2) (algebraNat.{u2} S (Ring.toSemiring.{u2} S _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (TensorProduct.Algebra.module.{0, u1, u2, u3} Nat R S M Nat.commSemiring (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommMonoid.natModule.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)) (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} S _inst_2) _inst_4 _inst_5 (algebraNat.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (algebraNat.{u2} S (Ring.toSemiring.{u2} S _inst_2)) (AddCommMonoid.nat_isScalarTower.{u1, u3} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_4) (AddCommMonoid.nat_isScalarTower.{u2, u3} S M (Ring.toSemiring.{u2} S _inst_2) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5) _inst_6)) -> (Submodule.{max u2 u1, u3} (TensorProduct.{0, u1, u2} Int Int.instCommSemiringInt R S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))) (AddCommGroup.intModule.{u1} R (Ring.toAddCommGroup.{u1} R _inst_1)) (AddCommGroup.intModule.{u2} S (Ring.toAddCommGroup.{u2} S _inst_2))) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{0, u1, u2} Int Int.instCommSemiringInt R (Ring.toSemiring.{u1} R _inst_1) (algebraInt.{u1} R _inst_1) S (Ring.toSemiring.{u2} S _inst_2) (algebraInt.{u2} S _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (TensorProduct.Algebra.module.{0, u1, u2, u3} Int R S M Int.instCommSemiringInt (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.intModule.{u3} M _inst_3) (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} S _inst_2) _inst_4 _inst_5 (algebraInt.{u1} R _inst_1) (algebraInt.{u2} S _inst_2) (AddCommGroup.intIsScalarTower.{u1, u3} R M _inst_1 _inst_3 _inst_4) (AddCommGroup.intIsScalarTower.{u2, u3} S M _inst_2 _inst_3 _inst_5) _inst_6))
+Case conversion may be inaccurate. Consider using '#align subbimodule.to_subbimodule_int Subbimodule.toSubbimoduleIntₓ'. -/
 /-- A `submodule` over `R ⊗[ℕ] S` is naturally also a `submodule` over the canonically-isomorphic
 ring `R ⊗[ℤ] S`. -/
 @[simps]
@@ -147,6 +189,12 @@ def toSubbimoduleInt (p : Submodule (R ⊗[ℕ] S) M) : Submodule (R ⊗[ℤ] S)
   baseChange ℤ p
 #align subbimodule.to_subbimodule_int Subbimodule.toSubbimoduleInt
 
+/- warning: subbimodule.to_subbimodule_nat -> Subbimodule.toSubbimoduleNat is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (S : Type.{u2}) (M : Type.{u3}) [_inst_1 : Ring.{u1} R] [_inst_2 : Ring.{u2} S] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_5 : Module.{u2, u3} S M (Ring.toSemiring.{u2} S _inst_2) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_6 : SMulCommClass.{u1, u2, u3} R S M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_4)))) (SMulZeroClass.toHasSmul.{u2, u3} S M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (SMulWithZero.toSmulZeroClass.{u2, u3} S M (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (Ring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (MulActionWithZero.toSMulWithZero.{u2, u3} S M (Semiring.toMonoidWithZero.{u2} S (Ring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)))) (Module.toMulActionWithZero.{u2, u3} S M (Ring.toSemiring.{u2} S _inst_2) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))], (Submodule.{max u1 u2, u3} (TensorProduct.{0, u1, u2} Int Int.commSemiring R S (AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toAddCommGroup.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))) (AddCommGroup.intModule.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) (AddCommGroup.intModule.{u2} S (NonUnitalNonAssocRing.toAddCommGroup.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2))))) M (Algebra.TensorProduct.TensorProduct.semiring.{0, u1, u2} Int Int.commSemiring R (Ring.toSemiring.{u1} R _inst_1) (algebraInt.{u1} R _inst_1) S (Ring.toSemiring.{u2} S _inst_2) (algebraInt.{u2} S _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (TensorProduct.Algebra.module.{0, u1, u2, u3} Int R S M Int.commSemiring (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.intModule.{u3} M _inst_3) (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} S _inst_2) _inst_4 _inst_5 (algebraInt.{u1} R _inst_1) (algebraInt.{u2} S _inst_2) (AddCommGroup.intIsScalarTower.{u1, u3} R M _inst_1 _inst_3 _inst_4) (AddCommGroup.intIsScalarTower.{u2, u3} S M _inst_2 _inst_3 _inst_5) _inst_6)) -> (Submodule.{max u1 u2, u3} (TensorProduct.{0, u1, u2} Nat Nat.commSemiring R S (AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toAddCommGroup.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))) (AddCommMonoid.natModule.{u1} R (AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))))) (AddCommMonoid.natModule.{u2} S (AddCommGroup.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toAddCommGroup.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))))) M (Algebra.TensorProduct.TensorProduct.semiring.{0, u1, u2} Nat Nat.commSemiring R (Ring.toSemiring.{u1} R _inst_1) (algebraNat.{u1} R (Ring.toSemiring.{u1} R _inst_1)) S (Ring.toSemiring.{u2} S _inst_2) (algebraNat.{u2} S (Ring.toSemiring.{u2} S _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (TensorProduct.Algebra.module.{0, u1, u2, u3} Nat R S M Nat.commSemiring (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommMonoid.natModule.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)) (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} S _inst_2) _inst_4 _inst_5 (algebraNat.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (algebraNat.{u2} S (Ring.toSemiring.{u2} S _inst_2)) (Subbimodule.toSubbimoduleNat._proof_1.{u1, u3} R M _inst_1 _inst_3 _inst_4) (Subbimodule.toSubbimoduleNat._proof_2.{u2, u3} S M _inst_2 _inst_3 _inst_5) _inst_6))
+but is expected to have type
+  forall (R : Type.{u1}) (S : Type.{u2}) (M : Type.{u3}) [_inst_1 : Ring.{u1} R] [_inst_2 : Ring.{u2} S] [_inst_3 : AddCommGroup.{u3} M] [_inst_4 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_5 : Module.{u2, u3} S M (Ring.toSemiring.{u2} S _inst_2) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)] [_inst_6 : SMulCommClass.{u1, u2, u3} R S M (SMulZeroClass.toSMul.{u1, u3} R M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_4)))) (SMulZeroClass.toSMul.{u2, u3} S M (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u3} S M (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S (Ring.toSemiring.{u2} S _inst_2))) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S M (Semiring.toMonoidWithZero.{u2} S (Ring.toSemiring.{u2} S _inst_2)) (NegZeroClass.toZero.{u3} M (SubNegZeroMonoid.toNegZeroClass.{u3} M (SubtractionMonoid.toSubNegZeroMonoid.{u3} M (SubtractionCommMonoid.toSubtractionMonoid.{u3} M (AddCommGroup.toDivisionAddCommMonoid.{u3} M _inst_3))))) (Module.toMulActionWithZero.{u2, u3} S M (Ring.toSemiring.{u2} S _inst_2) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5))))], (Submodule.{max u2 u1, u3} (TensorProduct.{0, u1, u2} Int Int.instCommSemiringInt R S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))) (AddCommGroup.intModule.{u1} R (Ring.toAddCommGroup.{u1} R _inst_1)) (AddCommGroup.intModule.{u2} S (Ring.toAddCommGroup.{u2} S _inst_2))) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{0, u1, u2} Int Int.instCommSemiringInt R (Ring.toSemiring.{u1} R _inst_1) (algebraInt.{u1} R _inst_1) S (Ring.toSemiring.{u2} S _inst_2) (algebraInt.{u2} S _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (TensorProduct.Algebra.module.{0, u1, u2, u3} Int R S M Int.instCommSemiringInt (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommGroup.intModule.{u3} M _inst_3) (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} S _inst_2) _inst_4 _inst_5 (algebraInt.{u1} R _inst_1) (algebraInt.{u2} S _inst_2) (AddCommGroup.intIsScalarTower.{u1, u3} R M _inst_1 _inst_3 _inst_4) (AddCommGroup.intIsScalarTower.{u2, u3} S M _inst_2 _inst_3 _inst_5) _inst_6)) -> (Submodule.{max u2 u1, u3} (TensorProduct.{0, u1, u2} Nat Nat.commSemiring R S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))) (AddCommMonoid.natModule.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))))) (AddCommMonoid.natModule.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} S (NonAssocRing.toNonUnitalNonAssocRing.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2)))))) M (Algebra.TensorProduct.instSemiringTensorProductToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonAssocSemiringToModuleToModule.{0, u1, u2} Nat Nat.commSemiring R (Ring.toSemiring.{u1} R _inst_1) (algebraNat.{u1} R (Ring.toSemiring.{u1} R _inst_1)) S (Ring.toSemiring.{u2} S _inst_2) (algebraNat.{u2} S (Ring.toSemiring.{u2} S _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (TensorProduct.Algebra.module.{0, u1, u2, u3} Nat R S M Nat.commSemiring (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) (AddCommMonoid.natModule.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_3)) (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} S _inst_2) _inst_4 _inst_5 (algebraNat.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (algebraNat.{u2} S (Ring.toSemiring.{u2} S _inst_2)) (AddCommMonoid.nat_isScalarTower.{u1, u3} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_4) (AddCommMonoid.nat_isScalarTower.{u2, u3} S M (Ring.toSemiring.{u2} S _inst_2) (AddCommGroup.toAddCommMonoid.{u3} M _inst_3) _inst_5) _inst_6))
+Case conversion may be inaccurate. Consider using '#align subbimodule.to_subbimodule_nat Subbimodule.toSubbimoduleNatₓ'. -/
 /-- A `submodule` over `R ⊗[ℤ] S` is naturally also a `submodule` over the canonically-isomorphic
 ring `R ⊗[ℕ] S`. -/
 @[simps]

58cef51f

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

58cef51f

chore(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


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

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

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

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

75c86f04

Diff

@@ -65,15 +65,10 @@ namespace Subbimodule
 section Algebra
 
 variable {R A B M : Type*}
-
 variable [CommSemiring R] [AddCommMonoid M] [Module R M]
-
 variable [Semiring A] [Semiring B] [Module A M] [Module B M]
-
 variable [Algebra R A] [Algebra R B]
-
 variable [IsScalarTower R A M] [IsScalarTower R B M]
-
 variable [SMulCommClass A B M]
 
 /-- A constructor for a subbimodule which demands closure under the two sets of scalars
@@ -132,7 +127,6 @@ end Algebra
 section Ring
 
 variable (R S M : Type*) [Ring R] [Ring S]
-
 variable [AddCommGroup M] [Module R M] [Module S M] [SMulCommClass R S M]
 
 /-- A `Submodule` over `R ⊗[ℕ] S` is naturally also a `Submodule` over the canonically-isomorphic

58cef51f

Acl/reorg tensor product (#11282)

Move:

Mathlib/Algebra/Module/DirectLimitAndTensorProduct.lean to LinearAlgebra/TensorProduct/DirectLimit.lean
Mathlib/LinearAlgebra/TensorProduct to Mathlib/LinearAlgebra.TensorProduct.Basic.lean
Mathlib/RingTheory/TensorProduct to Mathlib/RingTheory/TensorProduct/Basic.lean.

This follows suggestions 1, 2, 3 of

https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Tensor.20Products.20of.20modules.20and.20rings/near/424605543

Co-authored-by: Antoine Chambert-Loir <antoine.chambert-loir@math.univ-paris-diderot.fr>

0ee5f823

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2022 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
 -/
-import Mathlib.RingTheory.TensorProduct
+import Mathlib.RingTheory.TensorProduct.Basic
 
 #align_import algebra.module.bimodule from "leanprover-community/mathlib"@"58cef51f7a819e7227224461e392dee423302f2d"

58cef51f

doc: Change old Lean 3 commands to Lean 4 in implementation notes (#10707)

I changed Lean's 3 old "variables" command to Lean's 4 command "variable" in some implementation notes. I might have missed some

Co-authored-by: Omar Mohsen <36500353+OmarMohsenGit@users.noreply.github.com>

0a3cc570

Diff

@@ -18,8 +18,8 @@ and `S` acting contravariantly ("on the right"). The compatibility condition is
 
 This situation can be set up in Mathlib as:
 ```lean
-variables (R S M : Type*) [Ring R] [Ring S]
-variables [AddCommGroup M] [Module R M] [Module Sᵐᵒᵖ M] [SMulCommClass R Sᵐᵒᵖ M]
+variable (R S M : Type*) [Ring R] [Ring S]
+variable [AddCommGroup M] [Module R M] [Module Sᵐᵒᵖ M] [SMulCommClass R Sᵐᵒᵖ M]
 ```
 The key fact is:
 ```lean

58cef51f

chore: banish Type _ and Sort _ (#6499)

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

This has nice performance benefits.

32de3f67

Diff

@@ -64,7 +64,7 @@ namespace Subbimodule
 
 section Algebra
 
-variable {R A B M : Type _}
+variable {R A B M : Type*}
 
 variable [CommSemiring R] [AddCommMonoid M] [Module R M]
 
@@ -105,7 +105,7 @@ theorem smul_mem' (p : Submodule (A ⊗[R] B) M) (b : B) {m : M} (hm : m ∈ p)
 /-- If `A` and `B` are also `Algebra`s over yet another set of scalars `S` then we may "base change"
 from `R` to `S`. -/
 @[simps!]
-def baseChange (S : Type _) [CommSemiring S] [Module S M] [Algebra S A] [Algebra S B]
+def baseChange (S : Type*) [CommSemiring S] [Module S M] [Algebra S A] [Algebra S B]
     [IsScalarTower S A M] [IsScalarTower S B M] (p : Submodule (A ⊗[R] B) M) :
     Submodule (A ⊗[S] B) M :=
   mk p.toAddSubmonoid (smul_mem p) (smul_mem' p)
@@ -131,7 +131,7 @@ end Algebra
 
 section Ring
 
-variable (R S M : Type _) [Ring R] [Ring S]
+variable (R S M : Type*) [Ring R] [Ring S]
 
 variable [AddCommGroup M] [Module R M] [Module S M] [SMulCommClass R S M]

58cef51f

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2022 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
-
-! This file was ported from Lean 3 source module algebra.module.bimodule
-! leanprover-community/mathlib commit 58cef51f7a819e7227224461e392dee423302f2d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.RingTheory.TensorProduct
 
+#align_import algebra.module.bimodule from "leanprover-community/mathlib"@"58cef51f7a819e7227224461e392dee423302f2d"
+
 /-!
 # Bimodules

58cef51f

chore: fix backtick in docs (#5077)

I wrote a script to find lines that contain an odd number of backticks

878d95c4

Diff

@@ -32,8 +32,8 @@ Note that the corresponding result holds for the canonically isomorphic ring `R
 preferable to use the `R ⊗[ℕ] Sᵐᵒᵖ` instance since it works without additive inverses.
 
 Bimodules are thus just a special case of `Module`s and most of their properties follow from the
-theory of `Module`s`. In particular a two-sided Submodule of a bimodule is simply a term of type
-`submodule (R ⊗[ℕ] Sᵐᵒᵖ) M`.
+theory of `Module`s. In particular a two-sided Submodule of a bimodule is simply a term of type
+`Submodule (R ⊗[ℕ] Sᵐᵒᵖ) M`.
 
 This file is a place to collect results which are specific to bimodules.

58cef51f

chore: tidy various files (#4304)

Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: Chris Hughes <chrishughes24@gmail.com>

8214f469

Diff

@@ -39,22 +39,22 @@ This file is a place to collect results which are specific to bimodules.
 
 ## Main definitions
 
- * `subbimodule.mk`
- * `subbimodule.smul_mem`
- * `subbimodule.smul_mem'`
- * `subbimodule.to_submodule`
- * `subbimodule.to_submodule'`
+ * `Subbimodule.mk`
+ * `Subbimodule.smul_mem`
+ * `Subbimodule.smul_mem'`
+ * `Subbimodule.toSubmodule`
+ * `Subbimodule.toSubmodule'`
 
 ## Implementation details
 
 For many definitions and lemmas it is preferable to set things up without opposites, i.e., as:
-`[module S M] [smul_comm_class R S M]` rather than `[module Sᵐᵒᵖ M] [smul_comm_class R Sᵐᵒᵖ M]`.
+`[Module S M] [SMulCommClass R S M]` rather than `[Module Sᵐᵒᵖ M] [SMulCommClass R Sᵐᵒᵖ M]`.
 The corresponding results for opposites then follow automatically and do not require taking
 advantage of the fact that `(Sᵐᵒᵖ)ᵐᵒᵖ` is defeq to `S`.
 
 ## TODO
 
-Develop the theory of two-sided ideals, which have type `submodule (R ⊗[ℕ] Rᵐᵒᵖ) R`.
+Develop the theory of two-sided ideals, which have type `Submodule (R ⊗[ℕ] Rᵐᵒᵖ) R`.
 
 -/
 
@@ -83,7 +83,7 @@ variable [SMulCommClass A B M]
 individually, rather than jointly via their tensor product.
 
 Note that `R` plays no role but it is convenient to make this generalisation to support the cases
-`R = ℕ` and `R = ℤ` which both show up naturally. See also `base_change`. -/
+`R = ℕ` and `R = ℤ` which both show up naturally. See also `Subbimodule.baseChange`. -/
 @[simps]
 def mk (p : AddSubmonoid M) (hA : ∀ (a : A) {m : M}, m ∈ p → a • m ∈ p)
     (hB : ∀ (b : B) {m : M}, m ∈ p → b • m ∈ p) : Submodule (A ⊗[R] B) M :=
@@ -155,4 +155,3 @@ def toSubbimoduleNat (p : Submodule (R ⊗[ℤ] S) M) : Submodule (R ⊗[ℕ] S)
 end Ring
 
 end Subbimodule
-

58cef51f

feat: port Algebra.Module.Bimodule (#4077)

Co-authored-by: ChrisHughes24 <chrishughes24@gmail.com>

4c4a23d3

`algebra.module.bimodule` ⟷ `Mathlib.Algebra.Module.Bimodule`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 516

algebra.module.bimodule ⟷ Mathlib.Algebra.Module.Bimodule

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 516

`algebra.module.bimodule` ⟷ `Mathlib.Algebra.Module.Bimodule`