algebra.module.equiv | 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

ea94d7cd

(last sync)

docs(algebra/module/equiv): correct a misleading comment (#18458)

The linter is saying that the argument is unused because the argument is unused. The comment claiming that it doesn't appear and the linter is just confused is false.

We could remove the argument, but the extra generality it would provide is illusory, and it would likely just be inconvenient.

This is forward-ported in https://github.com/leanprover-community/mathlib4/pull/2347, though we will need to update the SHA again after this PR is merged.

Diff

@@ -240,7 +240,8 @@ variables (e₁₂ : M₁ ≃ₛₗ[σ₁₂] M₂) (e₂₃ : M₂ ≃ₛₗ[σ
 
 include σ₃₁
 /-- Linear equivalences are transitive. -/
--- Note: The linter thinks the `ring_hom_comp_triple` argument is doubled -- it is not.
+-- Note: the `ring_hom_comp_triple σ₃₂ σ₂₁ σ₃₁` is unused, but is convenient to carry around
+-- implicitly for lemmas like `linear_equiv.self_trans_symm`.
 @[trans, nolint unused_arguments]
 def trans : M₁ ≃ₛₗ[σ₁₃] M₃ :=
 { .. e₂₃.to_linear_map.comp e₁₂.to_linear_map,

1126441d

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

ea94d7cd

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro, Anne Baanen,
   Frédéric Dupuis, Heather Macbeth
 -/
-import Algebra.Module.LinearMap
+import Algebra.Module.LinearMap.Basic
 
 #align_import algebra.module.equiv from "leanprover-community/mathlib"@"ea94d7cd54ad9ca6b7710032868abb7c6a104c9c"

ea94d7cd

bump to nightly-2024-01-19-06

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

33b57512

Diff

@@ -117,7 +117,7 @@ instance (priority := 100) [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
     [s : SemilinearEquivClass F σ M M₂] : SemilinearMapClass F σ M M₂ :=
   { s with
     coe := (coe : F → M → M₂)
-    coe_injective' := @FunLike.coe_injective F _ _ _ }
+    coe_injective' := @DFunLike.coe_injective F _ _ _ }
 
 end SemilinearEquivClass
 
@@ -197,7 +197,7 @@ instance : SemilinearEquivClass (M ≃ₛₗ[σ] M₂) σ M M₂
 
 #print LinearEquiv.coe_injective /-
 theorem coe_injective : @Injective (M ≃ₛₗ[σ] M₂) (M → M₂) coeFn :=
-  FunLike.coe_injective
+  DFunLike.coe_injective
 #align linear_equiv.coe_injective LinearEquiv.coe_injective
 -/
 
@@ -258,25 +258,25 @@ variable {e e'}
 #print LinearEquiv.ext /-
 @[ext]
 theorem ext (h : ∀ x, e x = e' x) : e = e' :=
-  FunLike.ext _ _ h
+  DFunLike.ext _ _ h
 #align linear_equiv.ext LinearEquiv.ext
 -/
 
 #print LinearEquiv.ext_iff /-
 theorem ext_iff : e = e' ↔ ∀ x, e x = e' x :=
-  FunLike.ext_iff
+  DFunLike.ext_iff
 #align linear_equiv.ext_iff LinearEquiv.ext_iff
 -/
 
 #print LinearEquiv.congr_arg /-
 protected theorem congr_arg {x x'} : x = x' → e x = e x' :=
-  FunLike.congr_arg e
+  DFunLike.congr_arg e
 #align linear_equiv.congr_arg LinearEquiv.congr_arg
 -/
 
 #print LinearEquiv.congr_fun /-
 protected theorem congr_fun (h : e = e') (x : M) : e x = e' x :=
-  FunLike.congr_fun h x
+  DFunLike.congr_fun h x
 #align linear_equiv.congr_fun LinearEquiv.congr_fun
 -/
 
@@ -958,7 +958,7 @@ theorem toNatLinearEquiv_toAddEquiv : e.toNatLinearEquiv.toAddEquiv = e := by ex
 @[simp]
 theorem LinearEquiv.toAddEquiv_toNatLinearEquiv (e : M ≃ₗ[ℕ] M₂) :
     e.toAddEquiv.toNatLinearEquiv = e :=
-  FunLike.coe_injective rfl
+  DFunLike.coe_injective rfl
 #align linear_equiv.to_add_equiv_to_nat_linear_equiv LinearEquiv.toAddEquiv_toNatLinearEquiv
 -/
 
@@ -1017,7 +1017,7 @@ theorem toIntLinearEquiv_toAddEquiv : e.toIntLinearEquiv.toAddEquiv = e := by ex
 @[simp]
 theorem LinearEquiv.toAddEquiv_toIntLinearEquiv (e : M ≃ₗ[ℤ] M₂) :
     e.toAddEquiv.toIntLinearEquiv = e :=
-  FunLike.coe_injective rfl
+  DFunLike.coe_injective rfl
 #align linear_equiv.to_add_equiv_to_int_linear_equiv LinearEquiv.toAddEquiv_toIntLinearEquiv
 -/

ea94d7cd

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro, Anne Baanen,
   Frédéric Dupuis, Heather Macbeth
 -/
-import Mathbin.Algebra.Module.LinearMap
+import Algebra.Module.LinearMap
 
 #align_import algebra.module.equiv from "leanprover-community/mathlib"@"ea94d7cd54ad9ca6b7710032868abb7c6a104c9c"

ea94d7cd

bump to nightly-2023-08-17-09

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

60285dcc

Diff

@@ -768,7 +768,7 @@ instance automorphismGroup : Group (M ≃ₗ[R] M)
   mul_assoc f g h := rfl
   mul_one f := ext fun x => rfl
   one_mul f := ext fun x => rfl
-  mul_left_inv f := ext <| f.left_inv
+  hMul_left_inv f := ext <| f.left_inv
 #align linear_equiv.automorphism_group LinearEquiv.automorphismGroup
 -/
 
@@ -794,7 +794,7 @@ instance applyDistribMulAction : DistribMulAction (M ≃ₗ[R] M) M
   smul_zero := LinearEquiv.map_zero
   smul_add := LinearEquiv.map_add
   one_smul _ := rfl
-  mul_smul _ _ _ := rfl
+  hMul_smul _ _ _ := rfl
 #align linear_equiv.apply_distrib_mul_action LinearEquiv.applyDistribMulAction
 -/
 
@@ -895,7 +895,7 @@ This is a stronger version of `distrib_mul_action.to_add_aut`. -/
 def toModuleAut : S →* M ≃ₗ[R] M where
   toFun := toLinearEquiv R M
   map_one' := LinearEquiv.ext <| one_smul _
-  map_mul' a b := LinearEquiv.ext <| mul_smul _ _
+  map_mul' a b := LinearEquiv.ext <| hMul_smul _ _
 #align distrib_mul_action.to_module_aut DistribMulAction.toModuleAut
 -/

ea94d7cd

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -3,14 +3,11 @@ Copyright (c) 2020 Anne Baanen. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro, Anne Baanen,
   Frédéric Dupuis, Heather Macbeth
-
-! This file was ported from Lean 3 source module algebra.module.equiv
-! leanprover-community/mathlib commit ea94d7cd54ad9ca6b7710032868abb7c6a104c9c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Module.LinearMap
 
+#align_import algebra.module.equiv from "leanprover-community/mathlib"@"ea94d7cd54ad9ca6b7710032868abb7c6a104c9c"
+
 /-!
 # (Semi)linear equivalences

ea94d7cd

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -68,13 +68,10 @@ attribute [nolint doc_blame] LinearEquiv.toLinearMap
 
 attribute [nolint doc_blame] LinearEquiv.toAddEquiv
 
--- mathport name: «expr ≃ₛₗ[ ] »
 notation:50 M " ≃ₛₗ[" σ "] " M₂ => LinearEquiv σ M M₂
 
--- mathport name: «expr ≃ₗ[ ] »
 notation:50 M " ≃ₗ[" R "] " M₂ => LinearEquiv (RingHom.id R) M M₂
 
--- mathport name: «expr ≃ₗ⋆[ ] »
 notation:50 M " ≃ₗ⋆[" R "] " M₂ => LinearEquiv (starRingEnd R) M M₂
 
 #print SemilinearEquivClass /-
@@ -143,10 +140,6 @@ variable [Module R M] [Module S M₂] {σ : R →+* S} {σ' : S →+* R}
 
 variable [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
 
-include R
-
-include σ'
-
 instance : Coe (M ≃ₛₗ[σ] M₂) (M →ₛₗ[σ] M₂) :=
   ⟨toLinearMap⟩
 
@@ -154,11 +147,13 @@ instance : Coe (M ≃ₛₗ[σ] M₂) (M →ₛₗ[σ] M₂) :=
 instance : CoeFun (M ≃ₛₗ[σ] M₂) fun _ => M → M₂ :=
   ⟨toFun⟩
 
+#print LinearEquiv.coe_mk /-
 @[simp]
 theorem coe_mk {to_fun inv_fun map_add map_smul left_inv right_inv} :
     ⇑(⟨to_fun, map_add, map_smul, inv_fun, left_inv, right_inv⟩ : M ≃ₛₗ[σ] M₂) = to_fun :=
   rfl
 #align linear_equiv.coe_mk LinearEquiv.coe_mk
+-/
 
 #print LinearEquiv.toEquiv /-
 -- This exists for compatibility, previously `≃ₗ[R]` extended `≃` instead of `≃+`.
@@ -167,23 +162,31 @@ def toEquiv : (M ≃ₛₗ[σ] M₂) → M ≃ M₂ := fun f => f.toAddEquiv.toE
 #align linear_equiv.to_equiv LinearEquiv.toEquiv
 -/
 
+#print LinearEquiv.toEquiv_injective /-
 theorem toEquiv_injective : Function.Injective (toEquiv : (M ≃ₛₗ[σ] M₂) → M ≃ M₂) :=
   fun ⟨_, _, _, _, _, _⟩ ⟨_, _, _, _, _, _⟩ h => LinearEquiv.mk.inj_eq.mpr (Equiv.mk.inj h)
 #align linear_equiv.to_equiv_injective LinearEquiv.toEquiv_injective
+-/
 
+#print LinearEquiv.toEquiv_inj /-
 @[simp]
 theorem toEquiv_inj {e₁ e₂ : M ≃ₛₗ[σ] M₂} : e₁.toEquiv = e₂.toEquiv ↔ e₁ = e₂ :=
   toEquiv_injective.eq_iff
 #align linear_equiv.to_equiv_inj LinearEquiv.toEquiv_inj
+-/
 
+#print LinearEquiv.toLinearMap_injective /-
 theorem toLinearMap_injective : Injective (coe : (M ≃ₛₗ[σ] M₂) → M →ₛₗ[σ] M₂) := fun e₁ e₂ H =>
   toEquiv_injective <| Equiv.ext <| LinearMap.congr_fun H
 #align linear_equiv.to_linear_map_injective LinearEquiv.toLinearMap_injective
+-/
 
+#print LinearEquiv.toLinearMap_inj /-
 @[simp, norm_cast]
 theorem toLinearMap_inj {e₁ e₂ : M ≃ₛₗ[σ] M₂} : (e₁ : M →ₛₗ[σ] M₂) = e₂ ↔ e₁ = e₂ :=
   toLinearMap_injective.eq_iff
 #align linear_equiv.to_linear_map_inj LinearEquiv.toLinearMap_inj
+-/
 
 instance : SemilinearEquivClass (M ≃ₛₗ[σ] M₂) σ M M₂
     where
@@ -195,9 +198,11 @@ instance : SemilinearEquivClass (M ≃ₛₗ[σ] M₂) σ M M₂
   map_add := map_add'
   map_smulₛₗ := map_smul'
 
+#print LinearEquiv.coe_injective /-
 theorem coe_injective : @Injective (M ≃ₛₗ[σ] M₂) (M → M₂) coeFn :=
   FunLike.coe_injective
 #align linear_equiv.coe_injective LinearEquiv.coe_injective
+-/
 
 end
 
@@ -221,46 +226,62 @@ theorem toLinearMap_eq_coe : e.toLinearMap = (e : M →ₛₗ[σ] M₂) :=
   rfl
 #align linear_equiv.to_linear_map_eq_coe LinearEquiv.toLinearMap_eq_coe
 
+#print LinearEquiv.coe_coe /-
 @[simp, norm_cast]
 theorem coe_coe : ⇑(e : M →ₛₗ[σ] M₂) = e :=
   rfl
 #align linear_equiv.coe_coe LinearEquiv.coe_coe
+-/
 
+#print LinearEquiv.coe_toEquiv /-
 @[simp]
 theorem coe_toEquiv : ⇑e.toEquiv = e :=
   rfl
 #align linear_equiv.coe_to_equiv LinearEquiv.coe_toEquiv
+-/
 
+#print LinearEquiv.coe_toLinearMap /-
 @[simp]
 theorem coe_toLinearMap : ⇑e.toLinearMap = e :=
   rfl
 #align linear_equiv.coe_to_linear_map LinearEquiv.coe_toLinearMap
+-/
 
+#print LinearEquiv.toFun_eq_coe /-
 @[simp]
 theorem toFun_eq_coe : e.toFun = e :=
   rfl
 #align linear_equiv.to_fun_eq_coe LinearEquiv.toFun_eq_coe
+-/
 
 section
 
 variable {e e'}
 
+#print LinearEquiv.ext /-
 @[ext]
 theorem ext (h : ∀ x, e x = e' x) : e = e' :=
   FunLike.ext _ _ h
 #align linear_equiv.ext LinearEquiv.ext
+-/
 
+#print LinearEquiv.ext_iff /-
 theorem ext_iff : e = e' ↔ ∀ x, e x = e' x :=
   FunLike.ext_iff
 #align linear_equiv.ext_iff LinearEquiv.ext_iff
+-/
 
+#print LinearEquiv.congr_arg /-
 protected theorem congr_arg {x x'} : x = x' → e x = e x' :=
   FunLike.congr_arg e
 #align linear_equiv.congr_arg LinearEquiv.congr_arg
+-/
 
+#print LinearEquiv.congr_fun /-
 protected theorem congr_fun (h : e = e') (x : M) : e x = e' x :=
   FunLike.congr_fun h x
 #align linear_equiv.congr_fun LinearEquiv.congr_fun
+-/
 
 end
 
@@ -278,12 +299,12 @@ def refl [Module R M] : M ≃ₗ[R] M :=
 
 end
 
+#print LinearEquiv.refl_apply /-
 @[simp]
 theorem refl_apply [Module R M] (x : M) : refl R M x = x :=
   rfl
 #align linear_equiv.refl_apply LinearEquiv.refl_apply
-
-include module_M module_S_M₂ re₁ re₂
+-/
 
 #print LinearEquiv.symm /-
 /-- Linear equivalences are symmetric. -/
@@ -297,8 +318,6 @@ def symm (e : M ≃ₛₗ[σ] M₂) : M₂ ≃ₛₗ[σ'] M :=
 #align linear_equiv.symm LinearEquiv.symm
 -/
 
-omit module_M module_S_M₂ re₁ re₂
-
 #print LinearEquiv.Simps.symm_apply /-
 /-- See Note [custom simps projection] -/
 def Simps.symm_apply {R : Type _} {S : Type _} [Semiring R] [Semiring S] {σ : R →+* S}
@@ -310,19 +329,19 @@ def Simps.symm_apply {R : Type _} {S : Type _} [Semiring R] [Semiring S] {σ : R
 
 initialize_simps_projections LinearEquiv (toFun → apply, invFun → symm_apply)
 
-include σ'
-
+#print LinearEquiv.invFun_eq_symm /-
 @[simp]
 theorem invFun_eq_symm : e.invFun = e.symm :=
   rfl
 #align linear_equiv.inv_fun_eq_symm LinearEquiv.invFun_eq_symm
+-/
 
-omit σ'
-
+#print LinearEquiv.coe_toEquiv_symm /-
 @[simp]
 theorem coe_toEquiv_symm : ⇑e.toEquiv.symm = e.symm :=
   rfl
 #align linear_equiv.coe_to_equiv_symm LinearEquiv.coe_toEquiv_symm
+-/
 
 variable {module_M₁ : Module R₁ M₁} {module_M₂ : Module R₂ M₂} {module_M₃ : Module R₃ M₃}
 
@@ -344,8 +363,6 @@ variable {re₃₂ : RingHomInvPair σ₃₂ σ₂₃} [RingHomInvPair σ₃₁
 
 variable (e₁₂ : M₁ ≃ₛₗ[σ₁₂] M₂) (e₂₃ : M₂ ≃ₛₗ[σ₂₃] M₃)
 
-include σ₃₁
-
 #print LinearEquiv.trans /-
 -- Note: the `ring_hom_comp_triple σ₃₂ σ₂₁ σ₃₁` is unused, but is convenient to carry around
 -- implicitly for lemmas like `linear_equiv.self_trans_symm`.
@@ -356,9 +373,6 @@ def trans : M₁ ≃ₛₗ[σ₁₃] M₃ :=
 #align linear_equiv.trans LinearEquiv.trans
 -/
 
-omit σ₃₁
-
--- mathport name: «expr ≪≫ₗ »
 infixl:80 " ≪≫ₗ " =>
   @LinearEquiv.trans _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (RingHom.id _) (RingHom.id _) (RingHom.id _)
     (RingHom.id _) (RingHom.id _) (RingHom.id _) RingHomCompTriple.ids RingHomCompTriple.ids
@@ -367,100 +381,115 @@ infixl:80 " ≪≫ₗ " =>
 
 variable {e₁₂} {e₂₃}
 
+#print LinearEquiv.coe_toAddEquiv /-
 @[simp]
 theorem coe_toAddEquiv : ⇑e.toAddEquiv = e :=
   rfl
 #align linear_equiv.coe_to_add_equiv LinearEquiv.coe_toAddEquiv
+-/
 
+#print LinearEquiv.toAddMonoidHom_commutes /-
 /-- The two paths coercion can take to an `add_monoid_hom` are equivalent -/
 theorem toAddMonoidHom_commutes : e.toLinearMap.toAddMonoidHom = e.toAddEquiv.toAddMonoidHom :=
   rfl
 #align linear_equiv.to_add_monoid_hom_commutes LinearEquiv.toAddMonoidHom_commutes
+-/
 
-include σ₃₁
-
+#print LinearEquiv.trans_apply /-
 @[simp]
 theorem trans_apply (c : M₁) : (e₁₂.trans e₂₃ : M₁ ≃ₛₗ[σ₁₃] M₃) c = e₂₃ (e₁₂ c) :=
   rfl
 #align linear_equiv.trans_apply LinearEquiv.trans_apply
+-/
 
+#print LinearEquiv.coe_trans /-
 theorem coe_trans :
     (e₁₂.trans e₂₃ : M₁ →ₛₗ[σ₁₃] M₃) = (e₂₃ : M₂ →ₛₗ[σ₂₃] M₃).comp (e₁₂ : M₁ →ₛₗ[σ₁₂] M₂) :=
   rfl
 #align linear_equiv.coe_trans LinearEquiv.coe_trans
+-/
 
-omit σ₃₁
-
-include σ'
-
+#print LinearEquiv.apply_symm_apply /-
 @[simp]
 theorem apply_symm_apply (c : M₂) : e (e.symm c) = c :=
   e.right_inv c
 #align linear_equiv.apply_symm_apply LinearEquiv.apply_symm_apply
+-/
 
+#print LinearEquiv.symm_apply_apply /-
 @[simp]
 theorem symm_apply_apply (b : M) : e.symm (e b) = b :=
   e.left_inv b
 #align linear_equiv.symm_apply_apply LinearEquiv.symm_apply_apply
+-/
 
-omit σ'
-
-include σ₃₁ σ₂₁ σ₃₂
-
+#print LinearEquiv.trans_symm /-
 @[simp]
 theorem trans_symm : (e₁₂.trans e₂₃ : M₁ ≃ₛₗ[σ₁₃] M₃).symm = e₂₃.symm.trans e₁₂.symm :=
   rfl
 #align linear_equiv.trans_symm LinearEquiv.trans_symm
+-/
 
+#print LinearEquiv.symm_trans_apply /-
 theorem symm_trans_apply (c : M₃) :
     (e₁₂.trans e₂₃ : M₁ ≃ₛₗ[σ₁₃] M₃).symm c = e₁₂.symm (e₂₃.symm c) :=
   rfl
 #align linear_equiv.symm_trans_apply LinearEquiv.symm_trans_apply
+-/
 
-omit σ₃₁ σ₂₁ σ₃₂
-
+#print LinearEquiv.trans_refl /-
 @[simp]
 theorem trans_refl : e.trans (refl S M₂) = e :=
   toEquiv_injective e.toEquiv.trans_refl
 #align linear_equiv.trans_refl LinearEquiv.trans_refl
+-/
 
+#print LinearEquiv.refl_trans /-
 @[simp]
 theorem refl_trans : (refl R M).trans e = e :=
   toEquiv_injective e.toEquiv.refl_trans
 #align linear_equiv.refl_trans LinearEquiv.refl_trans
+-/
 
-include σ'
-
+#print LinearEquiv.symm_apply_eq /-
 theorem symm_apply_eq {x y} : e.symm x = y ↔ x = e y :=
   e.toEquiv.symm_apply_eq
 #align linear_equiv.symm_apply_eq LinearEquiv.symm_apply_eq
+-/
 
+#print LinearEquiv.eq_symm_apply /-
 theorem eq_symm_apply {x y} : y = e.symm x ↔ e y = x :=
   e.toEquiv.eq_symm_apply
 #align linear_equiv.eq_symm_apply LinearEquiv.eq_symm_apply
+-/
 
-omit σ'
-
+#print LinearEquiv.eq_comp_symm /-
 theorem eq_comp_symm {α : Type _} (f : M₂ → α) (g : M₁ → α) : f = g ∘ e₁₂.symm ↔ f ∘ e₁₂ = g :=
   e₁₂.toEquiv.eq_comp_symm f g
 #align linear_equiv.eq_comp_symm LinearEquiv.eq_comp_symm
+-/
 
+#print LinearEquiv.comp_symm_eq /-
 theorem comp_symm_eq {α : Type _} (f : M₂ → α) (g : M₁ → α) : g ∘ e₁₂.symm = f ↔ g = f ∘ e₁₂ :=
   e₁₂.toEquiv.comp_symm_eq f g
 #align linear_equiv.comp_symm_eq LinearEquiv.comp_symm_eq
+-/
 
+#print LinearEquiv.eq_symm_comp /-
 theorem eq_symm_comp {α : Type _} (f : α → M₁) (g : α → M₂) : f = e₁₂.symm ∘ g ↔ e₁₂ ∘ f = g :=
   e₁₂.toEquiv.eq_symm_comp f g
 #align linear_equiv.eq_symm_comp LinearEquiv.eq_symm_comp
+-/
 
+#print LinearEquiv.symm_comp_eq /-
 theorem symm_comp_eq {α : Type _} (f : α → M₁) (g : α → M₂) : e₁₂.symm ∘ g = f ↔ g = e₁₂ ∘ f :=
   e₁₂.toEquiv.symm_comp_eq f g
 #align linear_equiv.symm_comp_eq LinearEquiv.symm_comp_eq
+-/
 
 variable [RingHomCompTriple σ₂₁ σ₁₃ σ₂₃] [RingHomCompTriple σ₃₁ σ₁₂ σ₃₂]
 
-include module_M₃
-
+#print LinearEquiv.eq_comp_toLinearMap_symm /-
 theorem eq_comp_toLinearMap_symm (f : M₂ →ₛₗ[σ₂₃] M₃) (g : M₁ →ₛₗ[σ₁₃] M₃) :
     f = g.comp e₁₂.symm.toLinearMap ↔ f.comp e₁₂.toLinearMap = g :=
   by
@@ -468,7 +497,9 @@ theorem eq_comp_toLinearMap_symm (f : M₂ →ₛₗ[σ₂₃] M₃) (g : M₁ 
   · simp [H, e₁₂.to_equiv.eq_comp_symm f g]
   · simp [← H, ← e₁₂.to_equiv.eq_comp_symm f g]
 #align linear_equiv.eq_comp_to_linear_map_symm LinearEquiv.eq_comp_toLinearMap_symm
+-/
 
+#print LinearEquiv.comp_toLinearMap_symm_eq /-
 theorem comp_toLinearMap_symm_eq (f : M₂ →ₛₗ[σ₂₃] M₃) (g : M₁ →ₛₗ[σ₁₃] M₃) :
     g.comp e₁₂.symm.toLinearMap = f ↔ g = f.comp e₁₂.toLinearMap :=
   by
@@ -476,7 +507,9 @@ theorem comp_toLinearMap_symm_eq (f : M₂ →ₛₗ[σ₂₃] M₃) (g : M₁ 
   · simp [← H, ← e₁₂.to_equiv.comp_symm_eq f g]
   · simp [H, e₁₂.to_equiv.comp_symm_eq f g]
 #align linear_equiv.comp_to_linear_map_symm_eq LinearEquiv.comp_toLinearMap_symm_eq
+-/
 
+#print LinearEquiv.eq_toLinearMap_symm_comp /-
 theorem eq_toLinearMap_symm_comp (f : M₃ →ₛₗ[σ₃₁] M₁) (g : M₃ →ₛₗ[σ₃₂] M₂) :
     f = e₁₂.symm.toLinearMap.comp g ↔ e₁₂.toLinearMap.comp f = g :=
   by
@@ -484,7 +517,9 @@ theorem eq_toLinearMap_symm_comp (f : M₃ →ₛₗ[σ₃₁] M₁) (g : M₃ 
   · simp [H, e₁₂.to_equiv.eq_symm_comp f g]
   · simp [← H, ← e₁₂.to_equiv.eq_symm_comp f g]
 #align linear_equiv.eq_to_linear_map_symm_comp LinearEquiv.eq_toLinearMap_symm_comp
+-/
 
+#print LinearEquiv.toLinearMap_symm_comp_eq /-
 theorem toLinearMap_symm_comp_eq (f : M₃ →ₛₗ[σ₃₁] M₁) (g : M₃ →ₛₗ[σ₃₂] M₂) :
     e₁₂.symm.toLinearMap.comp g = f ↔ g = e₁₂.toLinearMap.comp f :=
   by
@@ -492,95 +527,113 @@ theorem toLinearMap_symm_comp_eq (f : M₃ →ₛₗ[σ₃₁] M₁) (g : M₃ 
   · simp [← H, ← e₁₂.to_equiv.symm_comp_eq f g]
   · simp [H, e₁₂.to_equiv.symm_comp_eq f g]
 #align linear_equiv.to_linear_map_symm_comp_eq LinearEquiv.toLinearMap_symm_comp_eq
+-/
 
-omit module_M₃
-
+#print LinearEquiv.refl_symm /-
 @[simp]
 theorem refl_symm [Module R M] : (refl R M).symm = LinearEquiv.refl R M :=
   rfl
 #align linear_equiv.refl_symm LinearEquiv.refl_symm
+-/
 
-include re₁₂ re₂₁ module_M₁ module_M₂
-
+#print LinearEquiv.self_trans_symm /-
 @[simp]
 theorem self_trans_symm (f : M₁ ≃ₛₗ[σ₁₂] M₂) : f.trans f.symm = LinearEquiv.refl R₁ M₁ := by ext x;
   simp
 #align linear_equiv.self_trans_symm LinearEquiv.self_trans_symm
+-/
 
+#print LinearEquiv.symm_trans_self /-
 @[simp]
 theorem symm_trans_self (f : M₁ ≃ₛₗ[σ₁₂] M₂) : f.symm.trans f = LinearEquiv.refl R₂ M₂ := by ext x;
   simp
 #align linear_equiv.symm_trans_self LinearEquiv.symm_trans_self
+-/
 
-omit re₁₂ re₂₁ module_M₁ module_M₂
-
+#print LinearEquiv.refl_toLinearMap /-
 @[simp, norm_cast]
 theorem refl_toLinearMap [Module R M] : (LinearEquiv.refl R M : M →ₗ[R] M) = LinearMap.id :=
   rfl
 #align linear_equiv.refl_to_linear_map LinearEquiv.refl_toLinearMap
+-/
 
+#print LinearEquiv.comp_coe /-
 @[simp, norm_cast]
 theorem comp_coe [Module R M] [Module R M₂] [Module R M₃] (f : M ≃ₗ[R] M₂) (f' : M₂ ≃ₗ[R] M₃) :
     (f' : M₂ →ₗ[R] M₃).comp (f : M →ₗ[R] M₂) = (f.trans f' : M ≃ₗ[R] M₃) :=
   rfl
 #align linear_equiv.comp_coe LinearEquiv.comp_coe
+-/
 
+#print LinearEquiv.mk_coe /-
 @[simp]
 theorem mk_coe (h₁ h₂ f h₃ h₄) : (LinearEquiv.mk e h₁ h₂ f h₃ h₄ : M ≃ₛₗ[σ] M₂) = e :=
   ext fun _ => rfl
 #align linear_equiv.mk_coe LinearEquiv.mk_coe
+-/
 
+#print LinearEquiv.map_add /-
 protected theorem map_add (a b : M) : e (a + b) = e a + e b :=
   map_add e a b
 #align linear_equiv.map_add LinearEquiv.map_add
+-/
 
+#print LinearEquiv.map_zero /-
 protected theorem map_zero : e 0 = 0 :=
   map_zero e
 #align linear_equiv.map_zero LinearEquiv.map_zero
+-/
 
+#print LinearEquiv.map_smulₛₗ /-
 -- TODO: `simp` isn't picking up `map_smulₛₗ` for `linear_equiv`s without specifying `map_smulₛₗ f`
 @[simp]
 protected theorem map_smulₛₗ (c : R) (x : M) : e (c • x) = σ c • e x :=
   e.map_smul' c x
 #align linear_equiv.map_smulₛₗ LinearEquiv.map_smulₛₗ
+-/
 
-include module_N₁ module_N₂
-
+#print LinearEquiv.map_smul /-
 theorem map_smul (e : N₁ ≃ₗ[R₁] N₂) (c : R₁) (x : N₁) : e (c • x) = c • e x :=
   map_smulₛₗ e c x
 #align linear_equiv.map_smul LinearEquiv.map_smul
+-/
 
-omit module_N₁ module_N₂
-
+#print LinearEquiv.map_eq_zero_iff /-
 @[simp]
 theorem map_eq_zero_iff {x : M} : e x = 0 ↔ x = 0 :=
   e.toAddEquiv.map_eq_zero_iff
 #align linear_equiv.map_eq_zero_iff LinearEquiv.map_eq_zero_iff
+-/
 
+#print LinearEquiv.map_ne_zero_iff /-
 theorem map_ne_zero_iff {x : M} : e x ≠ 0 ↔ x ≠ 0 :=
   e.toAddEquiv.map_ne_zero_iff
 #align linear_equiv.map_ne_zero_iff LinearEquiv.map_ne_zero_iff
+-/
 
-include module_M module_S_M₂ re₁ re₂
-
+#print LinearEquiv.symm_symm /-
 @[simp]
 theorem symm_symm (e : M ≃ₛₗ[σ] M₂) : e.symm.symm = e := by cases e; rfl
 #align linear_equiv.symm_symm LinearEquiv.symm_symm
+-/
 
-omit module_M module_S_M₂ re₁ re₂
-
+#print LinearEquiv.symm_bijective /-
 theorem symm_bijective [Module R M] [Module S M₂] [RingHomInvPair σ' σ] [RingHomInvPair σ σ'] :
     Function.Bijective (symm : (M ≃ₛₗ[σ] M₂) → M₂ ≃ₛₗ[σ'] M) :=
   Equiv.bijective
     ⟨(symm : (M ≃ₛₗ[σ] M₂) → M₂ ≃ₛₗ[σ'] M), (symm : (M₂ ≃ₛₗ[σ'] M) → M ≃ₛₗ[σ] M₂), symm_symm,
       symm_symm⟩
 #align linear_equiv.symm_bijective LinearEquiv.symm_bijective
+-/
 
+#print LinearEquiv.mk_coe' /-
 @[simp]
 theorem mk_coe' (f h₁ h₂ h₃ h₄) : (LinearEquiv.mk f h₁ h₂ (⇑e) h₃ h₄ : M₂ ≃ₛₗ[σ'] M) = e.symm :=
   symm_bijective.Injective <| ext fun x => rfl
 #align linear_equiv.mk_coe' LinearEquiv.mk_coe'
+-/
 
+#print LinearEquiv.symm_mk /-
 @[simp]
 theorem symm_mk (f h₁ h₂ h₃ h₄) :
     (⟨e, h₁, h₂, f, h₃, h₄⟩ : M ≃ₛₗ[σ] M₂).symm =
@@ -591,36 +644,50 @@ theorem symm_mk (f h₁ h₂ h₃ h₄) :
         invFun := e } :=
   rfl
 #align linear_equiv.symm_mk LinearEquiv.symm_mk
+-/
 
+#print LinearEquiv.coe_symm_mk /-
 @[simp]
 theorem coe_symm_mk [Module R M] [Module R M₂]
     {to_fun inv_fun map_add map_smul left_inv right_inv} :
     ⇑(⟨to_fun, map_add, map_smul, inv_fun, left_inv, right_inv⟩ : M ≃ₗ[R] M₂).symm = inv_fun :=
   rfl
 #align linear_equiv.coe_symm_mk LinearEquiv.coe_symm_mk
+-/
 
+#print LinearEquiv.bijective /-
 protected theorem bijective : Function.Bijective e :=
   e.toEquiv.Bijective
 #align linear_equiv.bijective LinearEquiv.bijective
+-/
 
+#print LinearEquiv.injective /-
 protected theorem injective : Function.Injective e :=
   e.toEquiv.Injective
 #align linear_equiv.injective LinearEquiv.injective
+-/
 
+#print LinearEquiv.surjective /-
 protected theorem surjective : Function.Surjective e :=
   e.toEquiv.Surjective
 #align linear_equiv.surjective LinearEquiv.surjective
+-/
 
+#print LinearEquiv.image_eq_preimage /-
 protected theorem image_eq_preimage (s : Set M) : e '' s = e.symm ⁻¹' s :=
   e.toEquiv.image_eq_preimage s
 #align linear_equiv.image_eq_preimage LinearEquiv.image_eq_preimage
+-/
 
+#print LinearEquiv.image_symm_eq_preimage /-
 protected theorem image_symm_eq_preimage (s : Set M₂) : e.symm '' s = e ⁻¹' s :=
   e.toEquiv.symm.image_eq_preimage s
 #align linear_equiv.image_symm_eq_preimage LinearEquiv.image_symm_eq_preimage
+-/
 
 end
 
+#print RingEquiv.toSemilinearEquiv /-
 /-- Interpret a `ring_equiv` `f` as an `f`-semilinear equiv. -/
 @[simps]
 def RingEquiv.toSemilinearEquiv (f : R ≃+* S) : by
@@ -631,22 +698,27 @@ def RingEquiv.toSemilinearEquiv (f : R ≃+* S) : by
     toFun := f
     map_smul' := f.map_mul }
 #align ring_equiv.to_semilinear_equiv RingEquiv.toSemilinearEquiv
+-/
 
 variable [Semiring R₁] [Semiring R₂] [Semiring R₃]
 
 variable [AddCommMonoid M] [AddCommMonoid M₁] [AddCommMonoid M₂]
 
+#print LinearEquiv.ofInvolutive /-
 /-- An involutive linear map is a linear equivalence. -/
 def ofInvolutive {σ σ' : R →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
     {module_M : Module R M} (f : M →ₛₗ[σ] M) (hf : Involutive f) : M ≃ₛₗ[σ] M :=
   { f, hf.toPerm f with }
 #align linear_equiv.of_involutive LinearEquiv.ofInvolutive
+-/
 
+#print LinearEquiv.coe_ofInvolutive /-
 @[simp]
 theorem coe_ofInvolutive {σ σ' : R →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
     {module_M : Module R M} (f : M →ₛₗ[σ] M) (hf : Involutive f) : ⇑(ofInvolutive f hf) = f :=
   rfl
 #align linear_equiv.coe_of_involutive LinearEquiv.coe_ofInvolutive
+-/
 
 section RestrictScalars
 
@@ -669,16 +741,20 @@ def restrictScalars (f : M ≃ₗ[S] M₂) : M ≃ₗ[R] M₂ :=
 #align linear_equiv.restrict_scalars LinearEquiv.restrictScalars
 -/
 
+#print LinearEquiv.restrictScalars_injective /-
 theorem restrictScalars_injective :
     Function.Injective (restrictScalars R : (M ≃ₗ[S] M₂) → M ≃ₗ[R] M₂) := fun f g h =>
   ext (LinearEquiv.congr_fun h : _)
 #align linear_equiv.restrict_scalars_injective LinearEquiv.restrictScalars_injective
+-/
 
+#print LinearEquiv.restrictScalars_inj /-
 @[simp]
 theorem restrictScalars_inj (f g : M ≃ₗ[S] M₂) :
     f.restrictScalars R = g.restrictScalars R ↔ f = g :=
   (restrictScalars_injective R).eq_iff
 #align linear_equiv.restrict_scalars_inj LinearEquiv.restrictScalars_inj
+-/
 
 end RestrictScalars
 
@@ -725,23 +801,31 @@ instance applyDistribMulAction : DistribMulAction (M ≃ₗ[R] M) M
 #align linear_equiv.apply_distrib_mul_action LinearEquiv.applyDistribMulAction
 -/
 
+#print LinearEquiv.smul_def /-
 @[simp]
 protected theorem smul_def (f : M ≃ₗ[R] M) (a : M) : f • a = f a :=
   rfl
 #align linear_equiv.smul_def LinearEquiv.smul_def
+-/
 
+#print LinearEquiv.apply_faithfulSMul /-
 /-- `linear_equiv.apply_distrib_mul_action` is faithful. -/
 instance apply_faithfulSMul : FaithfulSMul (M ≃ₗ[R] M) M :=
   ⟨fun _ _ => LinearEquiv.ext⟩
 #align linear_equiv.apply_has_faithful_smul LinearEquiv.apply_faithfulSMul
+-/
 
+#print LinearEquiv.apply_smulCommClass /-
 instance apply_smulCommClass : SMulCommClass R (M ≃ₗ[R] M) M
     where smul_comm r e m := (e.map_smul r m).symm
 #align linear_equiv.apply_smul_comm_class LinearEquiv.apply_smulCommClass
+-/
 
+#print LinearEquiv.apply_smulCommClass' /-
 instance apply_smulCommClass' : SMulCommClass (M ≃ₗ[R] M) R M
     where smul_comm := LinearEquiv.map_smul
 #align linear_equiv.apply_smul_comm_class' LinearEquiv.apply_smulCommClass'
+-/
 
 end Automorphisms
 
@@ -775,6 +859,7 @@ end LinearEquiv
 
 namespace Module
 
+#print Module.compHom.toLinearEquiv /-
 /-- `g : R ≃+* S` is `R`-linear when the module structure on `S` is `module.comp_hom S g` . -/
 @[simps]
 def compHom.toLinearEquiv {R S : Type _} [Semiring R] [Semiring S] (g : R ≃+* S) :
@@ -785,6 +870,7 @@ def compHom.toLinearEquiv {R S : Type _} [Semiring R] [Semiring S] (g : R ≃+*
     invFun := (g.symm : S → R)
     map_smul' := g.map_mul }
 #align module.comp_hom.to_linear_equiv Module.compHom.toLinearEquiv
+-/
 
 end Module
 
@@ -794,6 +880,7 @@ variable (R M) [Semiring R] [AddCommMonoid M] [Module R M]
 
 variable [Group S] [DistribMulAction S M] [SMulCommClass S R M]
 
+#print DistribMulAction.toLinearEquiv /-
 /-- Each element of the group defines a linear equivalence.
 
 This is a stronger version of `distrib_mul_action.to_add_equiv`. -/
@@ -801,7 +888,9 @@ This is a stronger version of `distrib_mul_action.to_add_equiv`. -/
 def toLinearEquiv (s : S) : M ≃ₗ[R] M :=
   { toAddEquiv M s, toLinearMap R M s with }
 #align distrib_mul_action.to_linear_equiv DistribMulAction.toLinearEquiv
+-/
 
+#print DistribMulAction.toModuleAut /-
 /-- Each element of the group defines a module automorphism.
 
 This is a stronger version of `distrib_mul_action.to_add_aut`. -/
@@ -811,6 +900,7 @@ def toModuleAut : S →* M ≃ₗ[R] M where
   map_one' := LinearEquiv.ext <| one_smul _
   map_mul' a b := LinearEquiv.ext <| mul_smul _ _
 #align distrib_mul_action.to_module_aut DistribMulAction.toModuleAut
+-/
 
 end DistribMulAction
 
@@ -824,47 +914,63 @@ variable [Module R M] [Module R M₂]
 
 variable (e : M ≃+ M₂)
 
+#print AddEquiv.toLinearEquiv /-
 /-- An additive equivalence whose underlying function preserves `smul` is a linear equivalence. -/
 def toLinearEquiv (h : ∀ (c : R) (x), e (c • x) = c • e x) : M ≃ₗ[R] M₂ :=
   { e with map_smul' := h }
 #align add_equiv.to_linear_equiv AddEquiv.toLinearEquiv
+-/
 
+#print AddEquiv.coe_toLinearEquiv /-
 @[simp]
 theorem coe_toLinearEquiv (h : ∀ (c : R) (x), e (c • x) = c • e x) : ⇑(e.toLinearEquiv h) = e :=
   rfl
 #align add_equiv.coe_to_linear_equiv AddEquiv.coe_toLinearEquiv
+-/
 
+#print AddEquiv.coe_toLinearEquiv_symm /-
 @[simp]
 theorem coe_toLinearEquiv_symm (h : ∀ (c : R) (x), e (c • x) = c • e x) :
     ⇑(e.toLinearEquiv h).symm = e.symm :=
   rfl
 #align add_equiv.coe_to_linear_equiv_symm AddEquiv.coe_toLinearEquiv_symm
+-/
 
+#print AddEquiv.toNatLinearEquiv /-
 /-- An additive equivalence between commutative additive monoids is a linear equivalence between
 ℕ-modules -/
 def toNatLinearEquiv : M ≃ₗ[ℕ] M₂ :=
   e.toLinearEquiv fun c a => by erw [e.to_add_monoid_hom.map_nsmul]; rfl
 #align add_equiv.to_nat_linear_equiv AddEquiv.toNatLinearEquiv
+-/
 
+#print AddEquiv.coe_toNatLinearEquiv /-
 @[simp]
 theorem coe_toNatLinearEquiv : ⇑e.toNatLinearEquiv = e :=
   rfl
 #align add_equiv.coe_to_nat_linear_equiv AddEquiv.coe_toNatLinearEquiv
+-/
 
+#print AddEquiv.toNatLinearEquiv_toAddEquiv /-
 @[simp]
 theorem toNatLinearEquiv_toAddEquiv : e.toNatLinearEquiv.toAddEquiv = e := by ext; rfl
 #align add_equiv.to_nat_linear_equiv_to_add_equiv AddEquiv.toNatLinearEquiv_toAddEquiv
+-/
 
+#print LinearEquiv.toAddEquiv_toNatLinearEquiv /-
 @[simp]
 theorem LinearEquiv.toAddEquiv_toNatLinearEquiv (e : M ≃ₗ[ℕ] M₂) :
     e.toAddEquiv.toNatLinearEquiv = e :=
   FunLike.coe_injective rfl
 #align linear_equiv.to_add_equiv_to_nat_linear_equiv LinearEquiv.toAddEquiv_toNatLinearEquiv
+-/
 
+#print AddEquiv.toNatLinearEquiv_symm /-
 @[simp]
 theorem toNatLinearEquiv_symm : e.toNatLinearEquiv.symm = e.symm.toNatLinearEquiv :=
   rfl
 #align add_equiv.to_nat_linear_equiv_symm AddEquiv.toNatLinearEquiv_symm
+-/
 
 #print AddEquiv.toNatLinearEquiv_refl /-
 @[simp]
@@ -873,11 +979,13 @@ theorem toNatLinearEquiv_refl : (AddEquiv.refl M).toNatLinearEquiv = LinearEquiv
 #align add_equiv.to_nat_linear_equiv_refl AddEquiv.toNatLinearEquiv_refl
 -/
 
+#print AddEquiv.toNatLinearEquiv_trans /-
 @[simp]
 theorem toNatLinearEquiv_trans (e₂ : M₂ ≃+ M₃) :
     e.toNatLinearEquiv.trans e₂.toNatLinearEquiv = (e.trans e₂).toNatLinearEquiv :=
   rfl
 #align add_equiv.to_nat_linear_equiv_trans AddEquiv.toNatLinearEquiv_trans
+-/
 
 end AddCommMonoid
 
@@ -887,42 +995,56 @@ variable [AddCommGroup M] [AddCommGroup M₂] [AddCommGroup M₃]
 
 variable (e : M ≃+ M₂)
 
+#print AddEquiv.toIntLinearEquiv /-
 /-- An additive equivalence between commutative additive groups is a linear
 equivalence between ℤ-modules -/
 def toIntLinearEquiv : M ≃ₗ[ℤ] M₂ :=
   e.toLinearEquiv fun c a => e.toAddMonoidHom.map_zsmul a c
 #align add_equiv.to_int_linear_equiv AddEquiv.toIntLinearEquiv
+-/
 
+#print AddEquiv.coe_toIntLinearEquiv /-
 @[simp]
 theorem coe_toIntLinearEquiv : ⇑e.toIntLinearEquiv = e :=
   rfl
 #align add_equiv.coe_to_int_linear_equiv AddEquiv.coe_toIntLinearEquiv
+-/
 
+#print AddEquiv.toIntLinearEquiv_toAddEquiv /-
 @[simp]
 theorem toIntLinearEquiv_toAddEquiv : e.toIntLinearEquiv.toAddEquiv = e := by ext; rfl
 #align add_equiv.to_int_linear_equiv_to_add_equiv AddEquiv.toIntLinearEquiv_toAddEquiv
+-/
 
+#print LinearEquiv.toAddEquiv_toIntLinearEquiv /-
 @[simp]
 theorem LinearEquiv.toAddEquiv_toIntLinearEquiv (e : M ≃ₗ[ℤ] M₂) :
     e.toAddEquiv.toIntLinearEquiv = e :=
   FunLike.coe_injective rfl
 #align linear_equiv.to_add_equiv_to_int_linear_equiv LinearEquiv.toAddEquiv_toIntLinearEquiv
+-/
 
+#print AddEquiv.toIntLinearEquiv_symm /-
 @[simp]
 theorem toIntLinearEquiv_symm : e.toIntLinearEquiv.symm = e.symm.toIntLinearEquiv :=
   rfl
 #align add_equiv.to_int_linear_equiv_symm AddEquiv.toIntLinearEquiv_symm
+-/
 
+#print AddEquiv.toIntLinearEquiv_refl /-
 @[simp]
 theorem toIntLinearEquiv_refl : (AddEquiv.refl M).toIntLinearEquiv = LinearEquiv.refl ℤ M :=
   rfl
 #align add_equiv.to_int_linear_equiv_refl AddEquiv.toIntLinearEquiv_refl
+-/
 
+#print AddEquiv.toIntLinearEquiv_trans /-
 @[simp]
 theorem toIntLinearEquiv_trans (e₂ : M₂ ≃+ M₃) :
     e.toIntLinearEquiv.trans e₂.toIntLinearEquiv = (e.trans e₂).toIntLinearEquiv :=
   rfl
 #align add_equiv.to_int_linear_equiv_trans AddEquiv.toIntLinearEquiv_trans
+-/
 
 end AddCommGroup

ea94d7cd

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -58,8 +58,9 @@ section
 /-- A linear equivalence is an invertible linear map. -/
 @[nolint has_nonempty_instance]
 structure LinearEquiv {R : Type _} {S : Type _} [Semiring R] [Semiring S] (σ : R →+* S)
-  {σ' : S →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ] (M : Type _) (M₂ : Type _)
-  [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂] extends LinearMap σ M M₂, M ≃+ M₂
+    {σ' : S →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ] (M : Type _) (M₂ : Type _)
+    [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂] extends LinearMap σ M M₂,
+    M ≃+ M₂
 #align linear_equiv LinearEquiv
 -/
 
@@ -86,9 +87,9 @@ A map `f` between an `R`-module and an `S`-module over a ring homomorphism `σ :
 is semilinear if it satisfies the two properties `f (x + y) = f x + f y` and
 `f (c • x) = (σ c) • f x`. -/
 class SemilinearEquivClass (F : Type _) {R S : outParam (Type _)} [Semiring R] [Semiring S]
-  (σ : outParam <| R →+* S) {σ' : outParam <| S →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
-  (M M₂ : outParam (Type _)) [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂] extends
-  AddEquivClass F M M₂ where
+    (σ : outParam <| R →+* S) {σ' : outParam <| S →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
+    (M M₂ : outParam (Type _)) [AddCommMonoid M] [AddCommMonoid M₂] [Module R M]
+    [Module S M₂] extends AddEquivClass F M M₂ where
   map_smulₛₗ : ∀ (f : F) (r : R) (x : M), f (r • x) = σ r • f x
 #align semilinear_equiv_class SemilinearEquivClass
 -/

ea94d7cd

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -153,9 +153,6 @@ instance : Coe (M ≃ₛₗ[σ] M₂) (M →ₛₗ[σ] M₂) :=
 instance : CoeFun (M ≃ₛₗ[σ] M₂) fun _ => M → M₂ :=
   ⟨toFun⟩
 
-/- warning: linear_equiv.coe_mk -> LinearEquiv.coe_mk is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_mk LinearEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk {to_fun inv_fun map_add map_smul left_inv right_inv} :
     ⇑(⟨to_fun, map_add, map_smul, inv_fun, left_inv, right_inv⟩ : M ≃ₛₗ[σ] M₂) = to_fun :=
@@ -169,31 +166,19 @@ def toEquiv : (M ≃ₛₗ[σ] M₂) → M ≃ M₂ := fun f => f.toAddEquiv.toE
 #align linear_equiv.to_equiv LinearEquiv.toEquiv
 -/
 
-/- warning: linear_equiv.to_equiv_injective -> LinearEquiv.toEquiv_injective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.to_equiv_injective LinearEquiv.toEquiv_injectiveₓ'. -/
 theorem toEquiv_injective : Function.Injective (toEquiv : (M ≃ₛₗ[σ] M₂) → M ≃ M₂) :=
   fun ⟨_, _, _, _, _, _⟩ ⟨_, _, _, _, _, _⟩ h => LinearEquiv.mk.inj_eq.mpr (Equiv.mk.inj h)
 #align linear_equiv.to_equiv_injective LinearEquiv.toEquiv_injective
 
-/- warning: linear_equiv.to_equiv_inj -> LinearEquiv.toEquiv_inj is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.to_equiv_inj LinearEquiv.toEquiv_injₓ'. -/
 @[simp]
 theorem toEquiv_inj {e₁ e₂ : M ≃ₛₗ[σ] M₂} : e₁.toEquiv = e₂.toEquiv ↔ e₁ = e₂ :=
   toEquiv_injective.eq_iff
 #align linear_equiv.to_equiv_inj LinearEquiv.toEquiv_inj
 
-/- warning: linear_equiv.to_linear_map_injective -> LinearEquiv.toLinearMap_injective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.to_linear_map_injective LinearEquiv.toLinearMap_injectiveₓ'. -/
 theorem toLinearMap_injective : Injective (coe : (M ≃ₛₗ[σ] M₂) → M →ₛₗ[σ] M₂) := fun e₁ e₂ H =>
   toEquiv_injective <| Equiv.ext <| LinearMap.congr_fun H
 #align linear_equiv.to_linear_map_injective LinearEquiv.toLinearMap_injective
 
-/- warning: linear_equiv.to_linear_map_inj -> LinearEquiv.toLinearMap_inj is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.to_linear_map_inj LinearEquiv.toLinearMap_injₓ'. -/
 @[simp, norm_cast]
 theorem toLinearMap_inj {e₁ e₂ : M ≃ₛₗ[σ] M₂} : (e₁ : M →ₛₗ[σ] M₂) = e₂ ↔ e₁ = e₂ :=
   toLinearMap_injective.eq_iff
@@ -209,9 +194,6 @@ instance : SemilinearEquivClass (M ≃ₛₗ[σ] M₂) σ M M₂
   map_add := map_add'
   map_smulₛₗ := map_smul'
 
-/- warning: linear_equiv.coe_injective -> LinearEquiv.coe_injective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_injective LinearEquiv.coe_injectiveₓ'. -/
 theorem coe_injective : @Injective (M ≃ₛₗ[σ] M₂) (M → M₂) coeFn :=
   FunLike.coe_injective
 #align linear_equiv.coe_injective LinearEquiv.coe_injective
@@ -238,33 +220,21 @@ theorem toLinearMap_eq_coe : e.toLinearMap = (e : M →ₛₗ[σ] M₂) :=
   rfl
 #align linear_equiv.to_linear_map_eq_coe LinearEquiv.toLinearMap_eq_coe
 
-/- warning: linear_equiv.coe_coe -> LinearEquiv.coe_coe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_coe LinearEquiv.coe_coeₓ'. -/
 @[simp, norm_cast]
 theorem coe_coe : ⇑(e : M →ₛₗ[σ] M₂) = e :=
   rfl
 #align linear_equiv.coe_coe LinearEquiv.coe_coe
 
-/- warning: linear_equiv.coe_to_equiv -> LinearEquiv.coe_toEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_equiv LinearEquiv.coe_toEquivₓ'. -/
 @[simp]
 theorem coe_toEquiv : ⇑e.toEquiv = e :=
   rfl
 #align linear_equiv.coe_to_equiv LinearEquiv.coe_toEquiv
 
-/- warning: linear_equiv.coe_to_linear_map -> LinearEquiv.coe_toLinearMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_linear_map LinearEquiv.coe_toLinearMapₓ'. -/
 @[simp]
 theorem coe_toLinearMap : ⇑e.toLinearMap = e :=
   rfl
 #align linear_equiv.coe_to_linear_map LinearEquiv.coe_toLinearMap
 
-/- warning: linear_equiv.to_fun_eq_coe -> LinearEquiv.toFun_eq_coe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.to_fun_eq_coe LinearEquiv.toFun_eq_coeₓ'. -/
 @[simp]
 theorem toFun_eq_coe : e.toFun = e :=
   rfl
@@ -274,31 +244,19 @@ section
 
 variable {e e'}
 
-/- warning: linear_equiv.ext -> LinearEquiv.ext is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.ext LinearEquiv.extₓ'. -/
 @[ext]
 theorem ext (h : ∀ x, e x = e' x) : e = e' :=
   FunLike.ext _ _ h
 #align linear_equiv.ext LinearEquiv.ext
 
-/- warning: linear_equiv.ext_iff -> LinearEquiv.ext_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.ext_iff LinearEquiv.ext_iffₓ'. -/
 theorem ext_iff : e = e' ↔ ∀ x, e x = e' x :=
   FunLike.ext_iff
 #align linear_equiv.ext_iff LinearEquiv.ext_iff
 
-/- warning: linear_equiv.congr_arg -> LinearEquiv.congr_arg is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.congr_arg LinearEquiv.congr_argₓ'. -/
 protected theorem congr_arg {x x'} : x = x' → e x = e x' :=
   FunLike.congr_arg e
 #align linear_equiv.congr_arg LinearEquiv.congr_arg
 
-/- warning: linear_equiv.congr_fun -> LinearEquiv.congr_fun is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.congr_fun LinearEquiv.congr_funₓ'. -/
 protected theorem congr_fun (h : e = e') (x : M) : e x = e' x :=
   FunLike.congr_fun h x
 #align linear_equiv.congr_fun LinearEquiv.congr_fun
@@ -319,9 +277,6 @@ def refl [Module R M] : M ≃ₗ[R] M :=
 
 end
 
-/- warning: linear_equiv.refl_apply -> LinearEquiv.refl_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.refl_apply LinearEquiv.refl_applyₓ'. -/
 @[simp]
 theorem refl_apply [Module R M] (x : M) : refl R M x = x :=
   rfl
@@ -356,9 +311,6 @@ initialize_simps_projections LinearEquiv (toFun → apply, invFun → symm_apply
 
 include σ'
 
-/- warning: linear_equiv.inv_fun_eq_symm -> LinearEquiv.invFun_eq_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.inv_fun_eq_symm LinearEquiv.invFun_eq_symmₓ'. -/
 @[simp]
 theorem invFun_eq_symm : e.invFun = e.symm :=
   rfl
@@ -366,9 +318,6 @@ theorem invFun_eq_symm : e.invFun = e.symm :=
 
 omit σ'
 
-/- warning: linear_equiv.coe_to_equiv_symm -> LinearEquiv.coe_toEquiv_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_equiv_symm LinearEquiv.coe_toEquiv_symmₓ'. -/
 @[simp]
 theorem coe_toEquiv_symm : ⇑e.toEquiv.symm = e.symm :=
   rfl
@@ -417,17 +366,11 @@ infixl:80 " ≪≫ₗ " =>
 
 variable {e₁₂} {e₂₃}
 
-/- warning: linear_equiv.coe_to_add_equiv -> LinearEquiv.coe_toAddEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_add_equiv LinearEquiv.coe_toAddEquivₓ'. -/
 @[simp]
 theorem coe_toAddEquiv : ⇑e.toAddEquiv = e :=
   rfl
 #align linear_equiv.coe_to_add_equiv LinearEquiv.coe_toAddEquiv
 
-/- warning: linear_equiv.to_add_monoid_hom_commutes -> LinearEquiv.toAddMonoidHom_commutes is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.to_add_monoid_hom_commutes LinearEquiv.toAddMonoidHom_commutesₓ'. -/
 /-- The two paths coercion can take to an `add_monoid_hom` are equivalent -/
 theorem toAddMonoidHom_commutes : e.toLinearMap.toAddMonoidHom = e.toAddEquiv.toAddMonoidHom :=
   rfl
@@ -435,17 +378,11 @@ theorem toAddMonoidHom_commutes : e.toLinearMap.toAddMonoidHom = e.toAddEquiv.to
 
 include σ₃₁
 
-/- warning: linear_equiv.trans_apply -> LinearEquiv.trans_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.trans_apply LinearEquiv.trans_applyₓ'. -/
 @[simp]
 theorem trans_apply (c : M₁) : (e₁₂.trans e₂₃ : M₁ ≃ₛₗ[σ₁₃] M₃) c = e₂₃ (e₁₂ c) :=
   rfl
 #align linear_equiv.trans_apply LinearEquiv.trans_apply
 
-/- warning: linear_equiv.coe_trans -> LinearEquiv.coe_trans is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_trans LinearEquiv.coe_transₓ'. -/
 theorem coe_trans :
     (e₁₂.trans e₂₃ : M₁ →ₛₗ[σ₁₃] M₃) = (e₂₃ : M₂ →ₛₗ[σ₂₃] M₃).comp (e₁₂ : M₁ →ₛₗ[σ₁₂] M₂) :=
   rfl
@@ -455,17 +392,11 @@ omit σ₃₁
 
 include σ'
 
-/- warning: linear_equiv.apply_symm_apply -> LinearEquiv.apply_symm_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.apply_symm_apply LinearEquiv.apply_symm_applyₓ'. -/
 @[simp]
 theorem apply_symm_apply (c : M₂) : e (e.symm c) = c :=
   e.right_inv c
 #align linear_equiv.apply_symm_apply LinearEquiv.apply_symm_apply
 
-/- warning: linear_equiv.symm_apply_apply -> LinearEquiv.symm_apply_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_apply_apply LinearEquiv.symm_apply_applyₓ'. -/
 @[simp]
 theorem symm_apply_apply (b : M) : e.symm (e b) = b :=
   e.left_inv b
@@ -475,17 +406,11 @@ omit σ'
 
 include σ₃₁ σ₂₁ σ₃₂
 
-/- warning: linear_equiv.trans_symm -> LinearEquiv.trans_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.trans_symm LinearEquiv.trans_symmₓ'. -/
 @[simp]
 theorem trans_symm : (e₁₂.trans e₂₃ : M₁ ≃ₛₗ[σ₁₃] M₃).symm = e₂₃.symm.trans e₁₂.symm :=
   rfl
 #align linear_equiv.trans_symm LinearEquiv.trans_symm
 
-/- warning: linear_equiv.symm_trans_apply -> LinearEquiv.symm_trans_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_trans_apply LinearEquiv.symm_trans_applyₓ'. -/
 theorem symm_trans_apply (c : M₃) :
     (e₁₂.trans e₂₃ : M₁ ≃ₛₗ[σ₁₃] M₃).symm c = e₁₂.symm (e₂₃.symm c) :=
   rfl
@@ -493,17 +418,11 @@ theorem symm_trans_apply (c : M₃) :
 
 omit σ₃₁ σ₂₁ σ₃₂
 
-/- warning: linear_equiv.trans_refl -> LinearEquiv.trans_refl is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.trans_refl LinearEquiv.trans_reflₓ'. -/
 @[simp]
 theorem trans_refl : e.trans (refl S M₂) = e :=
   toEquiv_injective e.toEquiv.trans_refl
 #align linear_equiv.trans_refl LinearEquiv.trans_refl
 
-/- warning: linear_equiv.refl_trans -> LinearEquiv.refl_trans is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.refl_trans LinearEquiv.refl_transₓ'. -/
 @[simp]
 theorem refl_trans : (refl R M).trans e = e :=
   toEquiv_injective e.toEquiv.refl_trans
@@ -511,46 +430,28 @@ theorem refl_trans : (refl R M).trans e = e :=
 
 include σ'
 
-/- warning: linear_equiv.symm_apply_eq -> LinearEquiv.symm_apply_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_apply_eq LinearEquiv.symm_apply_eqₓ'. -/
 theorem symm_apply_eq {x y} : e.symm x = y ↔ x = e y :=
   e.toEquiv.symm_apply_eq
 #align linear_equiv.symm_apply_eq LinearEquiv.symm_apply_eq
 
-/- warning: linear_equiv.eq_symm_apply -> LinearEquiv.eq_symm_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.eq_symm_apply LinearEquiv.eq_symm_applyₓ'. -/
 theorem eq_symm_apply {x y} : y = e.symm x ↔ e y = x :=
   e.toEquiv.eq_symm_apply
 #align linear_equiv.eq_symm_apply LinearEquiv.eq_symm_apply
 
 omit σ'
 
-/- warning: linear_equiv.eq_comp_symm -> LinearEquiv.eq_comp_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.eq_comp_symm LinearEquiv.eq_comp_symmₓ'. -/
 theorem eq_comp_symm {α : Type _} (f : M₂ → α) (g : M₁ → α) : f = g ∘ e₁₂.symm ↔ f ∘ e₁₂ = g :=
   e₁₂.toEquiv.eq_comp_symm f g
 #align linear_equiv.eq_comp_symm LinearEquiv.eq_comp_symm
 
-/- warning: linear_equiv.comp_symm_eq -> LinearEquiv.comp_symm_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.comp_symm_eq LinearEquiv.comp_symm_eqₓ'. -/
 theorem comp_symm_eq {α : Type _} (f : M₂ → α) (g : M₁ → α) : g ∘ e₁₂.symm = f ↔ g = f ∘ e₁₂ :=
   e₁₂.toEquiv.comp_symm_eq f g
 #align linear_equiv.comp_symm_eq LinearEquiv.comp_symm_eq
 
-/- warning: linear_equiv.eq_symm_comp -> LinearEquiv.eq_symm_comp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.eq_symm_comp LinearEquiv.eq_symm_compₓ'. -/
 theorem eq_symm_comp {α : Type _} (f : α → M₁) (g : α → M₂) : f = e₁₂.symm ∘ g ↔ e₁₂ ∘ f = g :=
   e₁₂.toEquiv.eq_symm_comp f g
 #align linear_equiv.eq_symm_comp LinearEquiv.eq_symm_comp
 
-/- warning: linear_equiv.symm_comp_eq -> LinearEquiv.symm_comp_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_comp_eq LinearEquiv.symm_comp_eqₓ'. -/
 theorem symm_comp_eq {α : Type _} (f : α → M₁) (g : α → M₂) : e₁₂.symm ∘ g = f ↔ g = e₁₂ ∘ f :=
   e₁₂.toEquiv.symm_comp_eq f g
 #align linear_equiv.symm_comp_eq LinearEquiv.symm_comp_eq
@@ -559,9 +460,6 @@ variable [RingHomCompTriple σ₂₁ σ₁₃ σ₂₃] [RingHomCompTriple σ₃
 
 include module_M₃
 
-/- warning: linear_equiv.eq_comp_to_linear_map_symm -> LinearEquiv.eq_comp_toLinearMap_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.eq_comp_to_linear_map_symm LinearEquiv.eq_comp_toLinearMap_symmₓ'. -/
 theorem eq_comp_toLinearMap_symm (f : M₂ →ₛₗ[σ₂₃] M₃) (g : M₁ →ₛₗ[σ₁₃] M₃) :
     f = g.comp e₁₂.symm.toLinearMap ↔ f.comp e₁₂.toLinearMap = g :=
   by
@@ -570,9 +468,6 @@ theorem eq_comp_toLinearMap_symm (f : M₂ →ₛₗ[σ₂₃] M₃) (g : M₁ 
   · simp [← H, ← e₁₂.to_equiv.eq_comp_symm f g]
 #align linear_equiv.eq_comp_to_linear_map_symm LinearEquiv.eq_comp_toLinearMap_symm
 
-/- warning: linear_equiv.comp_to_linear_map_symm_eq -> LinearEquiv.comp_toLinearMap_symm_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.comp_to_linear_map_symm_eq LinearEquiv.comp_toLinearMap_symm_eqₓ'. -/
 theorem comp_toLinearMap_symm_eq (f : M₂ →ₛₗ[σ₂₃] M₃) (g : M₁ →ₛₗ[σ₁₃] M₃) :
     g.comp e₁₂.symm.toLinearMap = f ↔ g = f.comp e₁₂.toLinearMap :=
   by
@@ -581,9 +476,6 @@ theorem comp_toLinearMap_symm_eq (f : M₂ →ₛₗ[σ₂₃] M₃) (g : M₁ 
   · simp [H, e₁₂.to_equiv.comp_symm_eq f g]
 #align linear_equiv.comp_to_linear_map_symm_eq LinearEquiv.comp_toLinearMap_symm_eq
 
-/- warning: linear_equiv.eq_to_linear_map_symm_comp -> LinearEquiv.eq_toLinearMap_symm_comp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.eq_to_linear_map_symm_comp LinearEquiv.eq_toLinearMap_symm_compₓ'. -/
 theorem eq_toLinearMap_symm_comp (f : M₃ →ₛₗ[σ₃₁] M₁) (g : M₃ →ₛₗ[σ₃₂] M₂) :
     f = e₁₂.symm.toLinearMap.comp g ↔ e₁₂.toLinearMap.comp f = g :=
   by
@@ -592,9 +484,6 @@ theorem eq_toLinearMap_symm_comp (f : M₃ →ₛₗ[σ₃₁] M₁) (g : M₃ 
   · simp [← H, ← e₁₂.to_equiv.eq_symm_comp f g]
 #align linear_equiv.eq_to_linear_map_symm_comp LinearEquiv.eq_toLinearMap_symm_comp
 
-/- warning: linear_equiv.to_linear_map_symm_comp_eq -> LinearEquiv.toLinearMap_symm_comp_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.to_linear_map_symm_comp_eq LinearEquiv.toLinearMap_symm_comp_eqₓ'. -/
 theorem toLinearMap_symm_comp_eq (f : M₃ →ₛₗ[σ₃₁] M₁) (g : M₃ →ₛₗ[σ₃₂] M₂) :
     e₁₂.symm.toLinearMap.comp g = f ↔ g = e₁₂.toLinearMap.comp f :=
   by
@@ -605,12 +494,6 @@ theorem toLinearMap_symm_comp_eq (f : M₃ →ₛₗ[σ₃₁] M₁) (g : M₃ 
 
 omit module_M₃
 
-/- warning: linear_equiv.refl_symm -> LinearEquiv.refl_symm is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_19 : Module.{u1, u2} R M _inst_1 _inst_6], Eq.{succ u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_19 _inst_19) (LinearEquiv.symm.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 _inst_19 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.refl.{u1, u2} R M _inst_1 _inst_6 _inst_19)) (LinearEquiv.refl.{u1, u2} R M _inst_1 _inst_6 _inst_19)
-but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_6 : AddCommMonoid.{u1} M] [_inst_19 : Module.{u2, u1} R M _inst_1 _inst_6], Eq.{succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_19 _inst_19) (LinearEquiv.symm.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 _inst_19 _inst_19 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) (LinearEquiv.refl.{u2, u1} R M _inst_1 _inst_6 _inst_19)) (LinearEquiv.refl.{u2, u1} R M _inst_1 _inst_6 _inst_19)
-Case conversion may be inaccurate. Consider using '#align linear_equiv.refl_symm LinearEquiv.refl_symmₓ'. -/
 @[simp]
 theorem refl_symm [Module R M] : (refl R M).symm = LinearEquiv.refl R M :=
   rfl
@@ -618,17 +501,11 @@ theorem refl_symm [Module R M] : (refl R M).symm = LinearEquiv.refl R M :=
 
 include re₁₂ re₂₁ module_M₁ module_M₂
 
-/- warning: linear_equiv.self_trans_symm -> LinearEquiv.self_trans_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.self_trans_symm LinearEquiv.self_trans_symmₓ'. -/
 @[simp]
 theorem self_trans_symm (f : M₁ ≃ₛₗ[σ₁₂] M₂) : f.trans f.symm = LinearEquiv.refl R₁ M₁ := by ext x;
   simp
 #align linear_equiv.self_trans_symm LinearEquiv.self_trans_symm
 
-/- warning: linear_equiv.symm_trans_self -> LinearEquiv.symm_trans_self is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_trans_self LinearEquiv.symm_trans_selfₓ'. -/
 @[simp]
 theorem symm_trans_self (f : M₁ ≃ₛₗ[σ₁₂] M₂) : f.symm.trans f = LinearEquiv.refl R₂ M₂ := by ext x;
   simp
@@ -636,51 +513,30 @@ theorem symm_trans_self (f : M₁ ≃ₛₗ[σ₁₂] M₂) : f.symm.trans f = L
 
 omit re₁₂ re₂₁ module_M₁ module_M₂
 
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-Case conversion may be inaccurate. Consider using '#align linear_equiv.refl_to_linear_map LinearEquiv.refl_toLinearMapₓ'. -/
 @[simp, norm_cast]
 theorem refl_toLinearMap [Module R M] : (LinearEquiv.refl R M : M →ₗ[R] M) = LinearMap.id :=
   rfl
 #align linear_equiv.refl_to_linear_map LinearEquiv.refl_toLinearMap
 
-/- warning: linear_equiv.comp_coe -> LinearEquiv.comp_coe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.comp_coe LinearEquiv.comp_coeₓ'. -/
 @[simp, norm_cast]
 theorem comp_coe [Module R M] [Module R M₂] [Module R M₃] (f : M ≃ₗ[R] M₂) (f' : M₂ ≃ₗ[R] M₃) :
     (f' : M₂ →ₗ[R] M₃).comp (f : M →ₗ[R] M₂) = (f.trans f' : M ≃ₗ[R] M₃) :=
   rfl
 #align linear_equiv.comp_coe LinearEquiv.comp_coe
 
-/- warning: linear_equiv.mk_coe -> LinearEquiv.mk_coe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.mk_coe LinearEquiv.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (h₁ h₂ f h₃ h₄) : (LinearEquiv.mk e h₁ h₂ f h₃ h₄ : M ≃ₛₗ[σ] M₂) = e :=
   ext fun _ => rfl
 #align linear_equiv.mk_coe LinearEquiv.mk_coe
 
-/- warning: linear_equiv.map_add -> LinearEquiv.map_add is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.map_add LinearEquiv.map_addₓ'. -/
 protected theorem map_add (a b : M) : e (a + b) = e a + e b :=
   map_add e a b
 #align linear_equiv.map_add LinearEquiv.map_add
 
-/- warning: linear_equiv.map_zero -> LinearEquiv.map_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.map_zero LinearEquiv.map_zeroₓ'. -/
 protected theorem map_zero : e 0 = 0 :=
   map_zero e
 #align linear_equiv.map_zero LinearEquiv.map_zero
 
-/- warning: linear_equiv.map_smulₛₗ -> LinearEquiv.map_smulₛₗ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.map_smulₛₗ LinearEquiv.map_smulₛₗₓ'. -/
 -- TODO: `simp` isn't picking up `map_smulₛₗ` for `linear_equiv`s without specifying `map_smulₛₗ f`
 @[simp]
 protected theorem map_smulₛₗ (c : R) (x : M) : e (c • x) = σ c • e x :=
@@ -689,44 +545,29 @@ protected theorem map_smulₛₗ (c : R) (x : M) : e (c • x) = σ c • e x :=
 
 include module_N₁ module_N₂
 
-/- warning: linear_equiv.map_smul -> LinearEquiv.map_smul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.map_smul LinearEquiv.map_smulₓ'. -/
 theorem map_smul (e : N₁ ≃ₗ[R₁] N₂) (c : R₁) (x : N₁) : e (c • x) = c • e x :=
   map_smulₛₗ e c x
 #align linear_equiv.map_smul LinearEquiv.map_smul
 
 omit module_N₁ module_N₂
 
-/- warning: linear_equiv.map_eq_zero_iff -> LinearEquiv.map_eq_zero_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.map_eq_zero_iff LinearEquiv.map_eq_zero_iffₓ'. -/
 @[simp]
 theorem map_eq_zero_iff {x : M} : e x = 0 ↔ x = 0 :=
   e.toAddEquiv.map_eq_zero_iff
 #align linear_equiv.map_eq_zero_iff LinearEquiv.map_eq_zero_iff
 
-/- warning: linear_equiv.map_ne_zero_iff -> LinearEquiv.map_ne_zero_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.map_ne_zero_iff LinearEquiv.map_ne_zero_iffₓ'. -/
 theorem map_ne_zero_iff {x : M} : e x ≠ 0 ↔ x ≠ 0 :=
   e.toAddEquiv.map_ne_zero_iff
 #align linear_equiv.map_ne_zero_iff LinearEquiv.map_ne_zero_iff
 
 include module_M module_S_M₂ re₁ re₂
 
-/- warning: linear_equiv.symm_symm -> LinearEquiv.symm_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_symm LinearEquiv.symm_symmₓ'. -/
 @[simp]
 theorem symm_symm (e : M ≃ₛₗ[σ] M₂) : e.symm.symm = e := by cases e; rfl
 #align linear_equiv.symm_symm LinearEquiv.symm_symm
 
 omit module_M module_S_M₂ re₁ re₂
 
-/- warning: linear_equiv.symm_bijective -> LinearEquiv.symm_bijective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_bijective LinearEquiv.symm_bijectiveₓ'. -/
 theorem symm_bijective [Module R M] [Module S M₂] [RingHomInvPair σ' σ] [RingHomInvPair σ σ'] :
     Function.Bijective (symm : (M ≃ₛₗ[σ] M₂) → M₂ ≃ₛₗ[σ'] M) :=
   Equiv.bijective
@@ -734,17 +575,11 @@ theorem symm_bijective [Module R M] [Module S M₂] [RingHomInvPair σ' σ] [Rin
       symm_symm⟩
 #align linear_equiv.symm_bijective LinearEquiv.symm_bijective
 
-/- warning: linear_equiv.mk_coe' -> LinearEquiv.mk_coe' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.mk_coe' LinearEquiv.mk_coe'ₓ'. -/
 @[simp]
 theorem mk_coe' (f h₁ h₂ h₃ h₄) : (LinearEquiv.mk f h₁ h₂ (⇑e) h₃ h₄ : M₂ ≃ₛₗ[σ'] M) = e.symm :=
   symm_bijective.Injective <| ext fun x => rfl
 #align linear_equiv.mk_coe' LinearEquiv.mk_coe'
 
-/- warning: linear_equiv.symm_mk -> LinearEquiv.symm_mk is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_mk LinearEquiv.symm_mkₓ'. -/
 @[simp]
 theorem symm_mk (f h₁ h₂ h₃ h₄) :
     (⟨e, h₁, h₂, f, h₃, h₄⟩ : M ≃ₛₗ[σ] M₂).symm =
@@ -756,9 +591,6 @@ theorem symm_mk (f h₁ h₂ h₃ h₄) :
   rfl
 #align linear_equiv.symm_mk LinearEquiv.symm_mk
 
-/- warning: linear_equiv.coe_symm_mk -> LinearEquiv.coe_symm_mk is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_symm_mk LinearEquiv.coe_symm_mkₓ'. -/
 @[simp]
 theorem coe_symm_mk [Module R M] [Module R M₂]
     {to_fun inv_fun map_add map_smul left_inv right_inv} :
@@ -766,46 +598,28 @@ theorem coe_symm_mk [Module R M] [Module R M₂]
   rfl
 #align linear_equiv.coe_symm_mk LinearEquiv.coe_symm_mk
 
-/- warning: linear_equiv.bijective -> LinearEquiv.bijective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.bijective LinearEquiv.bijectiveₓ'. -/
 protected theorem bijective : Function.Bijective e :=
   e.toEquiv.Bijective
 #align linear_equiv.bijective LinearEquiv.bijective
 
-/- warning: linear_equiv.injective -> LinearEquiv.injective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.injective LinearEquiv.injectiveₓ'. -/
 protected theorem injective : Function.Injective e :=
   e.toEquiv.Injective
 #align linear_equiv.injective LinearEquiv.injective
 
-/- warning: linear_equiv.surjective -> LinearEquiv.surjective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.surjective LinearEquiv.surjectiveₓ'. -/
 protected theorem surjective : Function.Surjective e :=
   e.toEquiv.Surjective
 #align linear_equiv.surjective LinearEquiv.surjective
 
-/- warning: linear_equiv.image_eq_preimage -> LinearEquiv.image_eq_preimage is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.image_eq_preimage LinearEquiv.image_eq_preimageₓ'. -/
 protected theorem image_eq_preimage (s : Set M) : e '' s = e.symm ⁻¹' s :=
   e.toEquiv.image_eq_preimage s
 #align linear_equiv.image_eq_preimage LinearEquiv.image_eq_preimage
 
-/- warning: linear_equiv.image_symm_eq_preimage -> LinearEquiv.image_symm_eq_preimage is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.image_symm_eq_preimage LinearEquiv.image_symm_eq_preimageₓ'. -/
 protected theorem image_symm_eq_preimage (s : Set M₂) : e.symm '' s = e ⁻¹' s :=
   e.toEquiv.symm.image_eq_preimage s
 #align linear_equiv.image_symm_eq_preimage LinearEquiv.image_symm_eq_preimage
 
 end
 
-/- warning: ring_equiv.to_semilinear_equiv -> RingEquiv.toSemilinearEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align ring_equiv.to_semilinear_equiv RingEquiv.toSemilinearEquivₓ'. -/
 /-- Interpret a `ring_equiv` `f` as an `f`-semilinear equiv. -/
 @[simps]
 def RingEquiv.toSemilinearEquiv (f : R ≃+* S) : by
@@ -821,21 +635,12 @@ variable [Semiring R₁] [Semiring R₂] [Semiring R₃]
 
 variable [AddCommMonoid M] [AddCommMonoid M₁] [AddCommMonoid M₂]
 
-/- warning: linear_equiv.of_involutive -> LinearEquiv.ofInvolutive is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align linear_equiv.of_involutive LinearEquiv.ofInvolutiveₓ'. -/
 /-- An involutive linear map is a linear equivalence. -/
 def ofInvolutive {σ σ' : R →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
     {module_M : Module R M} (f : M →ₛₗ[σ] M) (hf : Involutive f) : M ≃ₛₗ[σ] M :=
   { f, hf.toPerm f with }
 #align linear_equiv.of_involutive LinearEquiv.ofInvolutive
 
-/- warning: linear_equiv.coe_of_involutive -> LinearEquiv.coe_ofInvolutive is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_of_involutive LinearEquiv.coe_ofInvolutiveₓ'. -/
 @[simp]
 theorem coe_ofInvolutive {σ σ' : R →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
     {module_M : Module R M} (f : M →ₛₗ[σ] M) (hf : Involutive f) : ⇑(ofInvolutive f hf) = f :=
@@ -863,20 +668,11 @@ def restrictScalars (f : M ≃ₗ[S] M₂) : M ≃ₗ[R] M₂ :=
 #align linear_equiv.restrict_scalars LinearEquiv.restrictScalars
 -/
 
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 theorem restrictScalars_injective :
     Function.Injective (restrictScalars R : (M ≃ₗ[S] M₂) → M ≃ₗ[R] M₂) := fun f g h =>
   ext (LinearEquiv.congr_fun h : _)
 #align linear_equiv.restrict_scalars_injective LinearEquiv.restrictScalars_injective
 
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 @[simp]
 theorem restrictScalars_inj (f g : M ≃ₗ[S] M₂) :
     f.restrictScalars R = g.restrictScalars R ↔ f = g :=
@@ -928,41 +724,20 @@ instance applyDistribMulAction : DistribMulAction (M ≃ₗ[R] M) M
 #align linear_equiv.apply_distrib_mul_action LinearEquiv.applyDistribMulAction
 -/
 
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 @[simp]
 protected theorem smul_def (f : M ≃ₗ[R] M) (a : M) : f • a = f a :=
   rfl
 #align linear_equiv.smul_def LinearEquiv.smul_def
 
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 /-- `linear_equiv.apply_distrib_mul_action` is faithful. -/
 instance apply_faithfulSMul : FaithfulSMul (M ≃ₗ[R] M) M :=
   ⟨fun _ _ => LinearEquiv.ext⟩
 #align linear_equiv.apply_has_faithful_smul LinearEquiv.apply_faithfulSMul
 
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-Case conversion may be inaccurate. Consider using '#align linear_equiv.apply_smul_comm_class LinearEquiv.apply_smulCommClassₓ'. -/
 instance apply_smulCommClass : SMulCommClass R (M ≃ₗ[R] M) M
     where smul_comm r e m := (e.map_smul r m).symm
 #align linear_equiv.apply_smul_comm_class LinearEquiv.apply_smulCommClass
 
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-Case conversion may be inaccurate. Consider using '#align linear_equiv.apply_smul_comm_class' LinearEquiv.apply_smulCommClass'ₓ'. -/
 instance apply_smulCommClass' : SMulCommClass (M ≃ₗ[R] M) R M
     where smul_comm := LinearEquiv.map_smul
 #align linear_equiv.apply_smul_comm_class' LinearEquiv.apply_smulCommClass'
@@ -999,9 +774,6 @@ end LinearEquiv
 
 namespace Module
 
-/- warning: module.comp_hom.to_linear_equiv -> Module.compHom.toLinearEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align module.comp_hom.to_linear_equiv Module.compHom.toLinearEquivₓ'. -/
 /-- `g : R ≃+* S` is `R`-linear when the module structure on `S` is `module.comp_hom S g` . -/
 @[simps]
 def compHom.toLinearEquiv {R S : Type _} [Semiring R] [Semiring S] (g : R ≃+* S) :
@@ -1021,12 +793,6 @@ variable (R M) [Semiring R] [AddCommMonoid M] [Module R M]
 
 variable [Group S] [DistribMulAction S M] [SMulCommClass S R M]
 
-/- warning: distrib_mul_action.to_linear_equiv -> DistribMulAction.toLinearEquiv is a dubious translation:
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 /-- Each element of the group defines a linear equivalence.
 
 This is a stronger version of `distrib_mul_action.to_add_equiv`. -/
@@ -1035,12 +801,6 @@ def toLinearEquiv (s : S) : M ≃ₗ[R] M :=
   { toAddEquiv M s, toLinearMap R M s with }
 #align distrib_mul_action.to_linear_equiv DistribMulAction.toLinearEquiv
 
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 /-- Each element of the group defines a module automorphism.
 
 This is a stronger version of `distrib_mul_action.to_add_aut`. -/
@@ -1063,73 +823,43 @@ variable [Module R M] [Module R M₂]
 
 variable (e : M ≃+ M₂)
 
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 /-- An additive equivalence whose underlying function preserves `smul` is a linear equivalence. -/
 def toLinearEquiv (h : ∀ (c : R) (x), e (c • x) = c • e x) : M ≃ₗ[R] M₂ :=
   { e with map_smul' := h }
 #align add_equiv.to_linear_equiv AddEquiv.toLinearEquiv
 
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 @[simp]
 theorem coe_toLinearEquiv (h : ∀ (c : R) (x), e (c • x) = c • e x) : ⇑(e.toLinearEquiv h) = e :=
   rfl
 #align add_equiv.coe_to_linear_equiv AddEquiv.coe_toLinearEquiv
 
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 @[simp]
 theorem coe_toLinearEquiv_symm (h : ∀ (c : R) (x), e (c • x) = c • e x) :
     ⇑(e.toLinearEquiv h).symm = e.symm :=
   rfl
 #align add_equiv.coe_to_linear_equiv_symm AddEquiv.coe_toLinearEquiv_symm
 
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 /-- An additive equivalence between commutative additive monoids is a linear equivalence between
 ℕ-modules -/
 def toNatLinearEquiv : M ≃ₗ[ℕ] M₂ :=
   e.toLinearEquiv fun c a => by erw [e.to_add_monoid_hom.map_nsmul]; rfl
 #align add_equiv.to_nat_linear_equiv AddEquiv.toNatLinearEquiv
 
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 @[simp]
 theorem coe_toNatLinearEquiv : ⇑e.toNatLinearEquiv = e :=
   rfl
 #align add_equiv.coe_to_nat_linear_equiv AddEquiv.coe_toNatLinearEquiv
 
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 @[simp]
 theorem toNatLinearEquiv_toAddEquiv : e.toNatLinearEquiv.toAddEquiv = e := by ext; rfl
 #align add_equiv.to_nat_linear_equiv_to_add_equiv AddEquiv.toNatLinearEquiv_toAddEquiv
 
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 @[simp]
 theorem LinearEquiv.toAddEquiv_toNatLinearEquiv (e : M ≃ₗ[ℕ] M₂) :
     e.toAddEquiv.toNatLinearEquiv = e :=
   FunLike.coe_injective rfl
 #align linear_equiv.to_add_equiv_to_nat_linear_equiv LinearEquiv.toAddEquiv_toNatLinearEquiv
 
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 @[simp]
 theorem toNatLinearEquiv_symm : e.toNatLinearEquiv.symm = e.symm.toNatLinearEquiv :=
   rfl
@@ -1142,9 +872,6 @@ theorem toNatLinearEquiv_refl : (AddEquiv.refl M).toNatLinearEquiv = LinearEquiv
 #align add_equiv.to_nat_linear_equiv_refl AddEquiv.toNatLinearEquiv_refl
 -/
 
-/- warning: add_equiv.to_nat_linear_equiv_trans -> AddEquiv.toNatLinearEquiv_trans is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align add_equiv.to_nat_linear_equiv_trans AddEquiv.toNatLinearEquiv_transₓ'. -/
 @[simp]
 theorem toNatLinearEquiv_trans (e₂ : M₂ ≃+ M₃) :
     e.toNatLinearEquiv.trans e₂.toNatLinearEquiv = (e.trans e₂).toNatLinearEquiv :=
@@ -1159,67 +886,37 @@ variable [AddCommGroup M] [AddCommGroup M₂] [AddCommGroup M₃]
 
 variable (e : M ≃+ M₂)
 
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 /-- An additive equivalence between commutative additive groups is a linear
 equivalence between ℤ-modules -/
 def toIntLinearEquiv : M ≃ₗ[ℤ] M₂ :=
   e.toLinearEquiv fun c a => e.toAddMonoidHom.map_zsmul a c
 #align add_equiv.to_int_linear_equiv AddEquiv.toIntLinearEquiv
 
-/- warning: add_equiv.coe_to_int_linear_equiv -> AddEquiv.coe_toIntLinearEquiv is a dubious translation:
-<too large>
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 @[simp]
 theorem coe_toIntLinearEquiv : ⇑e.toIntLinearEquiv = e :=
   rfl
 #align add_equiv.coe_to_int_linear_equiv AddEquiv.coe_toIntLinearEquiv
 
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-<too large>
-Case conversion may be inaccurate. Consider using '#align add_equiv.to_int_linear_equiv_to_add_equiv AddEquiv.toIntLinearEquiv_toAddEquivₓ'. -/
 @[simp]
 theorem toIntLinearEquiv_toAddEquiv : e.toIntLinearEquiv.toAddEquiv = e := by ext; rfl
 #align add_equiv.to_int_linear_equiv_to_add_equiv AddEquiv.toIntLinearEquiv_toAddEquiv
 
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-<too large>
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 @[simp]
 theorem LinearEquiv.toAddEquiv_toIntLinearEquiv (e : M ≃ₗ[ℤ] M₂) :
     e.toAddEquiv.toIntLinearEquiv = e :=
   FunLike.coe_injective rfl
 #align linear_equiv.to_add_equiv_to_int_linear_equiv LinearEquiv.toAddEquiv_toIntLinearEquiv
 
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 @[simp]
 theorem toIntLinearEquiv_symm : e.toIntLinearEquiv.symm = e.symm.toIntLinearEquiv :=
   rfl
 #align add_equiv.to_int_linear_equiv_symm AddEquiv.toIntLinearEquiv_symm
 
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 @[simp]
 theorem toIntLinearEquiv_refl : (AddEquiv.refl M).toIntLinearEquiv = LinearEquiv.refl ℤ M :=
   rfl
 #align add_equiv.to_int_linear_equiv_refl AddEquiv.toIntLinearEquiv_refl
 
-/- warning: add_equiv.to_int_linear_equiv_trans -> AddEquiv.toIntLinearEquiv_trans is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align add_equiv.to_int_linear_equiv_trans AddEquiv.toIntLinearEquiv_transₓ'. -/
 @[simp]
 theorem toIntLinearEquiv_trans (e₂ : M₂ ≃+ M₃) :
     e.toIntLinearEquiv.trans e₂.toIntLinearEquiv = (e.trans e₂).toIntLinearEquiv :=

ea94d7cd

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -203,10 +203,7 @@ instance : SemilinearEquivClass (M ≃ₛₗ[σ] M₂) σ M M₂
     where
   coe := LinearEquiv.toFun
   inv := LinearEquiv.invFun
-  coe_injective' f g h₁ h₂ := by
-    cases f
-    cases g
-    congr
+  coe_injective' f g h₁ h₂ := by cases f; cases g; congr
   left_inv := LinearEquiv.left_inv
   right_inv := LinearEquiv.right_inv
   map_add := map_add'
@@ -625,9 +622,7 @@ include re₁₂ re₂₁ module_M₁ module_M₂
 <too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.self_trans_symm LinearEquiv.self_trans_symmₓ'. -/
 @[simp]
-theorem self_trans_symm (f : M₁ ≃ₛₗ[σ₁₂] M₂) : f.trans f.symm = LinearEquiv.refl R₁ M₁ :=
-  by
-  ext x
+theorem self_trans_symm (f : M₁ ≃ₛₗ[σ₁₂] M₂) : f.trans f.symm = LinearEquiv.refl R₁ M₁ := by ext x;
   simp
 #align linear_equiv.self_trans_symm LinearEquiv.self_trans_symm
 
@@ -635,9 +630,7 @@ theorem self_trans_symm (f : M₁ ≃ₛₗ[σ₁₂] M₂) : f.trans f.symm = L
 <too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_trans_self LinearEquiv.symm_trans_selfₓ'. -/
 @[simp]
-theorem symm_trans_self (f : M₁ ≃ₛₗ[σ₁₂] M₂) : f.symm.trans f = LinearEquiv.refl R₂ M₂ :=
-  by
-  ext x
+theorem symm_trans_self (f : M₁ ≃ₛₗ[σ₁₂] M₂) : f.symm.trans f = LinearEquiv.refl R₂ M₂ := by ext x;
   simp
 #align linear_equiv.symm_trans_self LinearEquiv.symm_trans_self
 
@@ -726,10 +719,7 @@ include module_M module_S_M₂ re₁ re₂
 <too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_symm LinearEquiv.symm_symmₓ'. -/
 @[simp]
-theorem symm_symm (e : M ≃ₛₗ[σ] M₂) : e.symm.symm = e :=
-  by
-  cases e
-  rfl
+theorem symm_symm (e : M ≃ₛₗ[σ] M₂) : e.symm.symm = e := by cases e; rfl
 #align linear_equiv.symm_symm LinearEquiv.symm_symm
 
 omit module_M module_S_M₂ re₁ re₂
@@ -997,10 +987,7 @@ def ofSubsingleton : M ≃ₗ[R] M₂ :=
 
 #print LinearEquiv.ofSubsingleton_self /-
 @[simp]
-theorem ofSubsingleton_self : ofSubsingleton M M = refl R M :=
-  by
-  ext
-  simp
+theorem ofSubsingleton_self : ofSubsingleton M M = refl R M := by ext; simp
 #align linear_equiv.of_subsingleton_self LinearEquiv.ofSubsingleton_self
 -/
 
@@ -1110,9 +1097,7 @@ Case conversion may be inaccurate. Consider using '#align add_equiv.to_nat_linea
 /-- An additive equivalence between commutative additive monoids is a linear equivalence between
 ℕ-modules -/
 def toNatLinearEquiv : M ≃ₗ[ℕ] M₂ :=
-  e.toLinearEquiv fun c a => by
-    erw [e.to_add_monoid_hom.map_nsmul]
-    rfl
+  e.toLinearEquiv fun c a => by erw [e.to_add_monoid_hom.map_nsmul]; rfl
 #align add_equiv.to_nat_linear_equiv AddEquiv.toNatLinearEquiv
 
 /- warning: add_equiv.coe_to_nat_linear_equiv -> AddEquiv.coe_toNatLinearEquiv is a dubious translation:
@@ -1127,10 +1112,7 @@ theorem coe_toNatLinearEquiv : ⇑e.toNatLinearEquiv = e :=
 <too large>
 Case conversion may be inaccurate. Consider using '#align add_equiv.to_nat_linear_equiv_to_add_equiv AddEquiv.toNatLinearEquiv_toAddEquivₓ'. -/
 @[simp]
-theorem toNatLinearEquiv_toAddEquiv : e.toNatLinearEquiv.toAddEquiv = e :=
-  by
-  ext
-  rfl
+theorem toNatLinearEquiv_toAddEquiv : e.toNatLinearEquiv.toAddEquiv = e := by ext; rfl
 #align add_equiv.to_nat_linear_equiv_to_add_equiv AddEquiv.toNatLinearEquiv_toAddEquiv
 
 /- warning: linear_equiv.to_add_equiv_to_nat_linear_equiv -> LinearEquiv.toAddEquiv_toNatLinearEquiv is a dubious translation:
@@ -1201,10 +1183,7 @@ theorem coe_toIntLinearEquiv : ⇑e.toIntLinearEquiv = e :=
 <too large>
 Case conversion may be inaccurate. Consider using '#align add_equiv.to_int_linear_equiv_to_add_equiv AddEquiv.toIntLinearEquiv_toAddEquivₓ'. -/
 @[simp]
-theorem toIntLinearEquiv_toAddEquiv : e.toIntLinearEquiv.toAddEquiv = e :=
-  by
-  ext
-  rfl
+theorem toIntLinearEquiv_toAddEquiv : e.toIntLinearEquiv.toAddEquiv = e := by ext; rfl
 #align add_equiv.to_int_linear_equiv_to_add_equiv AddEquiv.toIntLinearEquiv_toAddEquiv
 
 /- warning: linear_equiv.to_add_equiv_to_int_linear_equiv -> LinearEquiv.toAddEquiv_toIntLinearEquiv is a dubious translation:

ea94d7cd

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -154,10 +154,7 @@ instance : CoeFun (M ≃ₛₗ[σ] M₂) fun _ => M → M₂ :=
   ⟨toFun⟩
 
 /- warning: linear_equiv.coe_mk -> LinearEquiv.coe_mk is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_mk LinearEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk {to_fun inv_fun map_add map_smul left_inv right_inv} :
@@ -173,20 +170,14 @@ def toEquiv : (M ≃ₛₗ[σ] M₂) → M ≃ M₂ := fun f => f.toAddEquiv.toE
 -/
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.to_equiv_injective LinearEquiv.toEquiv_injectiveₓ'. -/
 theorem toEquiv_injective : Function.Injective (toEquiv : (M ≃ₛₗ[σ] M₂) → M ≃ M₂) :=
   fun ⟨_, _, _, _, _, _⟩ ⟨_, _, _, _, _, _⟩ h => LinearEquiv.mk.inj_eq.mpr (Equiv.mk.inj h)
 #align linear_equiv.to_equiv_injective LinearEquiv.toEquiv_injective
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.to_equiv_inj LinearEquiv.toEquiv_injₓ'. -/
 @[simp]
 theorem toEquiv_inj {e₁ e₂ : M ≃ₛₗ[σ] M₂} : e₁.toEquiv = e₂.toEquiv ↔ e₁ = e₂ :=
@@ -194,20 +185,14 @@ theorem toEquiv_inj {e₁ e₂ : M ≃ₛₗ[σ] M₂} : e₁.toEquiv = e₂.toE
 #align linear_equiv.to_equiv_inj LinearEquiv.toEquiv_inj
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.to_linear_map_injective LinearEquiv.toLinearMap_injectiveₓ'. -/
 theorem toLinearMap_injective : Injective (coe : (M ≃ₛₗ[σ] M₂) → M →ₛₗ[σ] M₂) := fun e₁ e₂ H =>
   toEquiv_injective <| Equiv.ext <| LinearMap.congr_fun H
 #align linear_equiv.to_linear_map_injective LinearEquiv.toLinearMap_injective
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.to_linear_map_inj LinearEquiv.toLinearMap_injₓ'. -/
 @[simp, norm_cast]
 theorem toLinearMap_inj {e₁ e₂ : M ≃ₛₗ[σ] M₂} : (e₁ : M →ₛₗ[σ] M₂) = e₂ ↔ e₁ = e₂ :=
@@ -228,10 +213,7 @@ instance : SemilinearEquivClass (M ≃ₛₗ[σ] M₂) σ M M₂
   map_smulₛₗ := map_smul'
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_injective LinearEquiv.coe_injectiveₓ'. -/
 theorem coe_injective : @Injective (M ≃ₛₗ[σ] M₂) (M → M₂) coeFn :=
   FunLike.coe_injective
@@ -260,10 +242,7 @@ theorem toLinearMap_eq_coe : e.toLinearMap = (e : M →ₛₗ[σ] M₂) :=
 #align linear_equiv.to_linear_map_eq_coe LinearEquiv.toLinearMap_eq_coe
 
 /- warning: linear_equiv.coe_coe -> LinearEquiv.coe_coe is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_coe LinearEquiv.coe_coeₓ'. -/
 @[simp, norm_cast]
 theorem coe_coe : ⇑(e : M →ₛₗ[σ] M₂) = e :=
@@ -271,10 +250,7 @@ theorem coe_coe : ⇑(e : M →ₛₗ[σ] M₂) = e :=
 #align linear_equiv.coe_coe LinearEquiv.coe_coe
 
 /- warning: linear_equiv.coe_to_equiv -> LinearEquiv.coe_toEquiv is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_equiv LinearEquiv.coe_toEquivₓ'. -/
 @[simp]
 theorem coe_toEquiv : ⇑e.toEquiv = e :=
@@ -282,10 +258,7 @@ theorem coe_toEquiv : ⇑e.toEquiv = e :=
 #align linear_equiv.coe_to_equiv LinearEquiv.coe_toEquiv
 
 /- warning: linear_equiv.coe_to_linear_map -> LinearEquiv.coe_toLinearMap is a dubious translation:
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 @[simp]
 theorem coe_toLinearMap : ⇑e.toLinearMap = e :=
@@ -293,10 +266,7 @@ theorem coe_toLinearMap : ⇑e.toLinearMap = e :=
 #align linear_equiv.coe_to_linear_map LinearEquiv.coe_toLinearMap
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.to_fun_eq_coe LinearEquiv.toFun_eq_coeₓ'. -/
 @[simp]
 theorem toFun_eq_coe : e.toFun = e :=
@@ -308,10 +278,7 @@ section
 variable {e e'}
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.ext LinearEquiv.extₓ'. -/
 @[ext]
 theorem ext (h : ∀ x, e x = e' x) : e = e' :=
@@ -319,30 +286,21 @@ theorem ext (h : ∀ x, e x = e' x) : e = e' :=
 #align linear_equiv.ext LinearEquiv.ext
 
 /- warning: linear_equiv.ext_iff -> LinearEquiv.ext_iff is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.ext_iff LinearEquiv.ext_iffₓ'. -/
 theorem ext_iff : e = e' ↔ ∀ x, e x = e' x :=
   FunLike.ext_iff
 #align linear_equiv.ext_iff LinearEquiv.ext_iff
 
 /- warning: linear_equiv.congr_arg -> LinearEquiv.congr_arg is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.congr_arg LinearEquiv.congr_argₓ'. -/
 protected theorem congr_arg {x x'} : x = x' → e x = e x' :=
   FunLike.congr_arg e
 #align linear_equiv.congr_arg LinearEquiv.congr_arg
 
 /- warning: linear_equiv.congr_fun -> LinearEquiv.congr_fun is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.congr_fun LinearEquiv.congr_funₓ'. -/
 protected theorem congr_fun (h : e = e') (x : M) : e x = e' x :=
   FunLike.congr_fun h x
@@ -365,10 +323,7 @@ def refl [Module R M] : M ≃ₗ[R] M :=
 end
 
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 @[simp]
 theorem refl_apply [Module R M] (x : M) : refl R M x = x :=
@@ -405,10 +360,7 @@ initialize_simps_projections LinearEquiv (toFun → apply, invFun → symm_apply
 include σ'
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.inv_fun_eq_symm LinearEquiv.invFun_eq_symmₓ'. -/
 @[simp]
 theorem invFun_eq_symm : e.invFun = e.symm :=
@@ -418,10 +370,7 @@ theorem invFun_eq_symm : e.invFun = e.symm :=
 omit σ'
 
 /- warning: linear_equiv.coe_to_equiv_symm -> LinearEquiv.coe_toEquiv_symm is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_equiv_symm LinearEquiv.coe_toEquiv_symmₓ'. -/
 @[simp]
 theorem coe_toEquiv_symm : ⇑e.toEquiv.symm = e.symm :=
@@ -472,10 +421,7 @@ infixl:80 " ≪≫ₗ " =>
 variable {e₁₂} {e₂₃}
 
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 @[simp]
 theorem coe_toAddEquiv : ⇑e.toAddEquiv = e :=
@@ -483,10 +429,7 @@ theorem coe_toAddEquiv : ⇑e.toAddEquiv = e :=
 #align linear_equiv.coe_to_add_equiv LinearEquiv.coe_toAddEquiv
 
 /- warning: linear_equiv.to_add_monoid_hom_commutes -> LinearEquiv.toAddMonoidHom_commutes is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.to_add_monoid_hom_commutes LinearEquiv.toAddMonoidHom_commutesₓ'. -/
 /-- The two paths coercion can take to an `add_monoid_hom` are equivalent -/
 theorem toAddMonoidHom_commutes : e.toLinearMap.toAddMonoidHom = e.toAddEquiv.toAddMonoidHom :=
@@ -496,10 +439,7 @@ theorem toAddMonoidHom_commutes : e.toLinearMap.toAddMonoidHom = e.toAddEquiv.to
 include σ₃₁
 
 /- warning: linear_equiv.trans_apply -> LinearEquiv.trans_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.trans_apply LinearEquiv.trans_applyₓ'. -/
 @[simp]
 theorem trans_apply (c : M₁) : (e₁₂.trans e₂₃ : M₁ ≃ₛₗ[σ₁₃] M₃) c = e₂₃ (e₁₂ c) :=
@@ -507,10 +447,7 @@ theorem trans_apply (c : M₁) : (e₁₂.trans e₂₃ : M₁ ≃ₛₗ[σ₁
 #align linear_equiv.trans_apply LinearEquiv.trans_apply
 
 /- warning: linear_equiv.coe_trans -> LinearEquiv.coe_trans is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_trans LinearEquiv.coe_transₓ'. -/
 theorem coe_trans :
     (e₁₂.trans e₂₃ : M₁ →ₛₗ[σ₁₃] M₃) = (e₂₃ : M₂ →ₛₗ[σ₂₃] M₃).comp (e₁₂ : M₁ →ₛₗ[σ₁₂] M₂) :=
@@ -522,10 +459,7 @@ omit σ₃₁
 include σ'
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.apply_symm_apply LinearEquiv.apply_symm_applyₓ'. -/
 @[simp]
 theorem apply_symm_apply (c : M₂) : e (e.symm c) = c :=
@@ -533,10 +467,7 @@ theorem apply_symm_apply (c : M₂) : e (e.symm c) = c :=
 #align linear_equiv.apply_symm_apply LinearEquiv.apply_symm_apply
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_apply_apply LinearEquiv.symm_apply_applyₓ'. -/
 @[simp]
 theorem symm_apply_apply (b : M) : e.symm (e b) = b :=
@@ -548,10 +479,7 @@ omit σ'
 include σ₃₁ σ₂₁ σ₃₂
 
 /- warning: linear_equiv.trans_symm -> LinearEquiv.trans_symm is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.trans_symm LinearEquiv.trans_symmₓ'. -/
 @[simp]
 theorem trans_symm : (e₁₂.trans e₂₃ : M₁ ≃ₛₗ[σ₁₃] M₃).symm = e₂₃.symm.trans e₁₂.symm :=
@@ -559,10 +487,7 @@ theorem trans_symm : (e₁₂.trans e₂₃ : M₁ ≃ₛₗ[σ₁₃] M₃).sym
 #align linear_equiv.trans_symm LinearEquiv.trans_symm
 
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re₃₂ re₂₃))))) (LinearEquiv.symm.{u2, u4, u1, u5} R₂ R₃ M₂ M₃ _inst_4 _inst_5 _inst_8 _inst_9 module_M₂ module_M₃ σ₂₃ σ₃₂ re₂₃ re₃₂ e₂₃) c))
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_trans_apply LinearEquiv.symm_trans_applyₓ'. -/
 theorem symm_trans_apply (c : M₃) :
     (e₁₂.trans e₂₃ : M₁ ≃ₛₗ[σ₁₃] M₃).symm c = e₁₂.symm (e₂₃.symm c) :=
@@ -572,10 +497,7 @@ theorem symm_trans_apply (c : M₃) :
 omit σ₃₁ σ₂₁ σ₃₂
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.trans_refl LinearEquiv.trans_reflₓ'. -/
 @[simp]
 theorem trans_refl : e.trans (refl S M₂) = e :=
@@ -583,10 +505,7 @@ theorem trans_refl : e.trans (refl S M₂) = e :=
 #align linear_equiv.trans_refl LinearEquiv.trans_refl
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.refl_trans LinearEquiv.refl_transₓ'. -/
 @[simp]
 theorem refl_trans : (refl R M).trans e = e :=
@@ -596,20 +515,14 @@ theorem refl_trans : (refl R M).trans e = e :=
 include σ'
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_apply_eq LinearEquiv.symm_apply_eqₓ'. -/
 theorem symm_apply_eq {x y} : e.symm x = y ↔ x = e y :=
   e.toEquiv.symm_apply_eq
 #align linear_equiv.symm_apply_eq LinearEquiv.symm_apply_eq
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.eq_symm_apply LinearEquiv.eq_symm_applyₓ'. -/
 theorem eq_symm_apply {x y} : y = e.symm x ↔ e y = x :=
   e.toEquiv.eq_symm_apply
@@ -618,40 +531,28 @@ theorem eq_symm_apply {x y} : y = e.symm x ↔ e y = x :=
 omit σ'
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.eq_comp_symm LinearEquiv.eq_comp_symmₓ'. -/
 theorem eq_comp_symm {α : Type _} (f : M₂ → α) (g : M₁ → α) : f = g ∘ e₁₂.symm ↔ f ∘ e₁₂ = g :=
   e₁₂.toEquiv.eq_comp_symm f g
 #align linear_equiv.eq_comp_symm LinearEquiv.eq_comp_symm
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.comp_symm_eq LinearEquiv.comp_symm_eqₓ'. -/
 theorem comp_symm_eq {α : Type _} (f : M₂ → α) (g : M₁ → α) : g ∘ e₁₂.symm = f ↔ g = f ∘ e₁₂ :=
   e₁₂.toEquiv.comp_symm_eq f g
 #align linear_equiv.comp_symm_eq LinearEquiv.comp_symm_eq
 
 /- warning: linear_equiv.eq_symm_comp -> LinearEquiv.eq_symm_comp is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.eq_symm_comp LinearEquiv.eq_symm_compₓ'. -/
 theorem eq_symm_comp {α : Type _} (f : α → M₁) (g : α → M₂) : f = e₁₂.symm ∘ g ↔ e₁₂ ∘ f = g :=
   e₁₂.toEquiv.eq_symm_comp f g
 #align linear_equiv.eq_symm_comp LinearEquiv.eq_symm_comp
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_comp_eq LinearEquiv.symm_comp_eqₓ'. -/
 theorem symm_comp_eq {α : Type _} (f : α → M₁) (g : α → M₂) : e₁₂.symm ∘ g = f ↔ g = e₁₂ ∘ f :=
   e₁₂.toEquiv.symm_comp_eq f g
@@ -662,10 +563,7 @@ variable [RingHomCompTriple σ₂₁ σ₁₃ σ₂₃] [RingHomCompTriple σ₃
 include module_M₃
 
 /- warning: linear_equiv.eq_comp_to_linear_map_symm -> LinearEquiv.eq_comp_toLinearMap_symm is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.eq_comp_to_linear_map_symm LinearEquiv.eq_comp_toLinearMap_symmₓ'. -/
 theorem eq_comp_toLinearMap_symm (f : M₂ →ₛₗ[σ₂₃] M₃) (g : M₁ →ₛₗ[σ₁₃] M₃) :
     f = g.comp e₁₂.symm.toLinearMap ↔ f.comp e₁₂.toLinearMap = g :=
@@ -676,10 +574,7 @@ theorem eq_comp_toLinearMap_symm (f : M₂ →ₛₗ[σ₂₃] M₃) (g : M₁ 
 #align linear_equiv.eq_comp_to_linear_map_symm LinearEquiv.eq_comp_toLinearMap_symm
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.comp_to_linear_map_symm_eq LinearEquiv.comp_toLinearMap_symm_eqₓ'. -/
 theorem comp_toLinearMap_symm_eq (f : M₂ →ₛₗ[σ₂₃] M₃) (g : M₁ →ₛₗ[σ₁₃] M₃) :
     g.comp e₁₂.symm.toLinearMap = f ↔ g = f.comp e₁₂.toLinearMap :=
@@ -690,10 +585,7 @@ theorem comp_toLinearMap_symm_eq (f : M₂ →ₛₗ[σ₂₃] M₃) (g : M₁ 
 #align linear_equiv.comp_to_linear_map_symm_eq LinearEquiv.comp_toLinearMap_symm_eq
 
 /- warning: linear_equiv.eq_to_linear_map_symm_comp -> LinearEquiv.eq_toLinearMap_symm_comp is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.eq_to_linear_map_symm_comp LinearEquiv.eq_toLinearMap_symm_compₓ'. -/
 theorem eq_toLinearMap_symm_comp (f : M₃ →ₛₗ[σ₃₁] M₁) (g : M₃ →ₛₗ[σ₃₂] M₂) :
     f = e₁₂.symm.toLinearMap.comp g ↔ e₁₂.toLinearMap.comp f = g :=
@@ -704,10 +596,7 @@ theorem eq_toLinearMap_symm_comp (f : M₃ →ₛₗ[σ₃₁] M₁) (g : M₃ 
 #align linear_equiv.eq_to_linear_map_symm_comp LinearEquiv.eq_toLinearMap_symm_comp
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.to_linear_map_symm_comp_eq LinearEquiv.toLinearMap_symm_comp_eqₓ'. -/
 theorem toLinearMap_symm_comp_eq (f : M₃ →ₛₗ[σ₃₁] M₁) (g : M₃ →ₛₗ[σ₃₂] M₂) :
     e₁₂.symm.toLinearMap.comp g = f ↔ g = e₁₂.toLinearMap.comp f :=
@@ -733,10 +622,7 @@ theorem refl_symm [Module R M] : (refl R M).symm = LinearEquiv.refl R M :=
 include re₁₂ re₂₁ module_M₁ module_M₂
 
 /- warning: linear_equiv.self_trans_symm -> LinearEquiv.self_trans_symm is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.self_trans_symm LinearEquiv.self_trans_symmₓ'. -/
 @[simp]
 theorem self_trans_symm (f : M₁ ≃ₛₗ[σ₁₂] M₂) : f.trans f.symm = LinearEquiv.refl R₁ M₁ :=
@@ -746,10 +632,7 @@ theorem self_trans_symm (f : M₁ ≃ₛₗ[σ₁₂] M₂) : f.trans f.symm = L
 #align linear_equiv.self_trans_symm LinearEquiv.self_trans_symm
 
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 @[simp]
 theorem symm_trans_self (f : M₁ ≃ₛₗ[σ₁₂] M₂) : f.symm.trans f = LinearEquiv.refl R₂ M₂ :=
@@ -772,10 +655,7 @@ theorem refl_toLinearMap [Module R M] : (LinearEquiv.refl R M : M →ₗ[R] M) =
 #align linear_equiv.refl_to_linear_map LinearEquiv.refl_toLinearMap
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.comp_coe LinearEquiv.comp_coeₓ'. -/
 @[simp, norm_cast]
 theorem comp_coe [Module R M] [Module R M₂] [Module R M₃] (f : M ≃ₗ[R] M₂) (f' : M₂ ≃ₗ[R] M₃) :
@@ -784,10 +664,7 @@ theorem comp_coe [Module R M] [Module R M₂] [Module R M₃] (f : M ≃ₗ[R] M
 #align linear_equiv.comp_coe LinearEquiv.comp_coe
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.mk_coe LinearEquiv.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (h₁ h₂ f h₃ h₄) : (LinearEquiv.mk e h₁ h₂ f h₃ h₄ : M ≃ₛₗ[σ] M₂) = e :=
@@ -795,30 +672,21 @@ theorem mk_coe (h₁ h₂ f h₃ h₄) : (LinearEquiv.mk e h₁ h₂ f h₃ h₄
 #align linear_equiv.mk_coe LinearEquiv.mk_coe
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.map_add LinearEquiv.map_addₓ'. -/
 protected theorem map_add (a b : M) : e (a + b) = e a + e b :=
   map_add e a b
 #align linear_equiv.map_add LinearEquiv.map_add
 
 /- warning: linear_equiv.map_zero -> LinearEquiv.map_zero is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.map_zero LinearEquiv.map_zeroₓ'. -/
 protected theorem map_zero : e 0 = 0 :=
   map_zero e
 #align linear_equiv.map_zero LinearEquiv.map_zero
 
 /- warning: linear_equiv.map_smulₛₗ -> LinearEquiv.map_smulₛₗ is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.map_smulₛₗ LinearEquiv.map_smulₛₗₓ'. -/
 -- TODO: `simp` isn't picking up `map_smulₛₗ` for `linear_equiv`s without specifying `map_smulₛₗ f`
 @[simp]
@@ -829,10 +697,7 @@ protected theorem map_smulₛₗ (c : R) (x : M) : e (c • x) = σ c • e x :=
 include module_N₁ module_N₂
 
 /- warning: linear_equiv.map_smul -> LinearEquiv.map_smul is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.map_smul LinearEquiv.map_smulₓ'. -/
 theorem map_smul (e : N₁ ≃ₗ[R₁] N₂) (c : R₁) (x : N₁) : e (c • x) = c • e x :=
   map_smulₛₗ e c x
@@ -841,10 +706,7 @@ theorem map_smul (e : N₁ ≃ₗ[R₁] N₂) (c : R₁) (x : N₁) : e (c • x
 omit module_N₁ module_N₂
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.map_eq_zero_iff LinearEquiv.map_eq_zero_iffₓ'. -/
 @[simp]
 theorem map_eq_zero_iff {x : M} : e x = 0 ↔ x = 0 :=
@@ -852,10 +714,7 @@ theorem map_eq_zero_iff {x : M} : e x = 0 ↔ x = 0 :=
 #align linear_equiv.map_eq_zero_iff LinearEquiv.map_eq_zero_iff
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.map_ne_zero_iff LinearEquiv.map_ne_zero_iffₓ'. -/
 theorem map_ne_zero_iff {x : M} : e x ≠ 0 ↔ x ≠ 0 :=
   e.toAddEquiv.map_ne_zero_iff
@@ -864,10 +723,7 @@ theorem map_ne_zero_iff {x : M} : e x ≠ 0 ↔ x ≠ 0 :=
 include module_M module_S_M₂ re₁ re₂
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_symm LinearEquiv.symm_symmₓ'. -/
 @[simp]
 theorem symm_symm (e : M ≃ₛₗ[σ] M₂) : e.symm.symm = e :=
@@ -879,10 +735,7 @@ theorem symm_symm (e : M ≃ₛₗ[σ] M₂) : e.symm.symm = e :=
 omit module_M module_S_M₂ re₁ re₂
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_bijective LinearEquiv.symm_bijectiveₓ'. -/
 theorem symm_bijective [Module R M] [Module S M₂] [RingHomInvPair σ' σ] [RingHomInvPair σ σ'] :
     Function.Bijective (symm : (M ≃ₛₗ[σ] M₂) → M₂ ≃ₛₗ[σ'] M) :=
@@ -892,10 +745,7 @@ theorem symm_bijective [Module R M] [Module S M₂] [RingHomInvPair σ' σ] [Rin
 #align linear_equiv.symm_bijective LinearEquiv.symm_bijective
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.mk_coe' LinearEquiv.mk_coe'ₓ'. -/
 @[simp]
 theorem mk_coe' (f h₁ h₂ h₃ h₄) : (LinearEquiv.mk f h₁ h₂ (⇑e) h₃ h₄ : M₂ ≃ₛₗ[σ'] M) = e.symm :=
@@ -903,10 +753,7 @@ theorem mk_coe' (f h₁ h₂ h₃ h₄) : (LinearEquiv.mk f h₁ h₂ (⇑e) h
 #align linear_equiv.mk_coe' LinearEquiv.mk_coe'
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_mk LinearEquiv.symm_mkₓ'. -/
 @[simp]
 theorem symm_mk (f h₁ h₂ h₃ h₄) :
@@ -920,10 +767,7 @@ theorem symm_mk (f h₁ h₂ h₃ h₄) :
 #align linear_equiv.symm_mk LinearEquiv.symm_mk
 
 /- warning: linear_equiv.coe_symm_mk -> LinearEquiv.coe_symm_mk is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_symm_mk LinearEquiv.coe_symm_mkₓ'. -/
 @[simp]
 theorem coe_symm_mk [Module R M] [Module R M₂]
@@ -933,50 +777,35 @@ theorem coe_symm_mk [Module R M] [Module R M₂]
 #align linear_equiv.coe_symm_mk LinearEquiv.coe_symm_mk
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.bijective LinearEquiv.bijectiveₓ'. -/
 protected theorem bijective : Function.Bijective e :=
   e.toEquiv.Bijective
 #align linear_equiv.bijective LinearEquiv.bijective
 
 /- warning: linear_equiv.injective -> LinearEquiv.injective is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.injective LinearEquiv.injectiveₓ'. -/
 protected theorem injective : Function.Injective e :=
   e.toEquiv.Injective
 #align linear_equiv.injective LinearEquiv.injective
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.surjective LinearEquiv.surjectiveₓ'. -/
 protected theorem surjective : Function.Surjective e :=
   e.toEquiv.Surjective
 #align linear_equiv.surjective LinearEquiv.surjective
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.image_eq_preimage LinearEquiv.image_eq_preimageₓ'. -/
 protected theorem image_eq_preimage (s : Set M) : e '' s = e.symm ⁻¹' s :=
   e.toEquiv.image_eq_preimage s
 #align linear_equiv.image_eq_preimage LinearEquiv.image_eq_preimage
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.image_symm_eq_preimage LinearEquiv.image_symm_eq_preimageₓ'. -/
 protected theorem image_symm_eq_preimage (s : Set M₂) : e.symm '' s = e ⁻¹' s :=
   e.toEquiv.symm.image_eq_preimage s
@@ -985,10 +814,7 @@ protected theorem image_symm_eq_preimage (s : Set M₂) : e.symm '' s = e ⁻¹'
 end
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align ring_equiv.to_semilinear_equiv RingEquiv.toSemilinearEquivₓ'. -/
 /-- Interpret a `ring_equiv` `f` as an `f`-semilinear equiv. -/
 @[simps]
@@ -1018,10 +844,7 @@ def ofInvolutive {σ σ' : R →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ
 #align linear_equiv.of_involutive LinearEquiv.ofInvolutive
 
 /- warning: linear_equiv.coe_of_involutive -> LinearEquiv.coe_ofInvolutive is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_of_involutive LinearEquiv.coe_ofInvolutiveₓ'. -/
 @[simp]
 theorem coe_ofInvolutive {σ σ' : R →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
@@ -1062,10 +885,7 @@ theorem restrictScalars_injective :
 #align linear_equiv.restrict_scalars_injective LinearEquiv.restrictScalars_injective
 
 /- warning: linear_equiv.restrict_scalars_inj -> LinearEquiv.restrictScalars_inj is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.restrict_scalars_inj LinearEquiv.restrictScalars_injₓ'. -/
 @[simp]
 theorem restrictScalars_inj (f g : M ≃ₗ[S] M₂) :
@@ -1119,10 +939,7 @@ instance applyDistribMulAction : DistribMulAction (M ≃ₗ[R] M) M
 -/
 
 /- warning: linear_equiv.smul_def -> LinearEquiv.smul_def is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.smul_def LinearEquiv.smul_defₓ'. -/
 @[simp]
 protected theorem smul_def (f : M ≃ₗ[R] M) (a : M) : f • a = f a :=
@@ -1196,10 +1013,7 @@ end LinearEquiv
 namespace Module
 
 /- warning: module.comp_hom.to_linear_equiv -> Module.compHom.toLinearEquiv is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align module.comp_hom.to_linear_equiv Module.compHom.toLinearEquivₓ'. -/
 /-- `g : R ≃+* S` is `R`-linear when the module structure on `S` is `module.comp_hom S g` . -/
 @[simps]
@@ -1263,10 +1077,7 @@ variable [Module R M] [Module R M₂]
 variable (e : M ≃+ M₂)
 
 /- warning: add_equiv.to_linear_equiv -> AddEquiv.toLinearEquiv is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align add_equiv.to_linear_equiv AddEquiv.toLinearEquivₓ'. -/
 /-- An additive equivalence whose underlying function preserves `smul` is a linear equivalence. -/
 def toLinearEquiv (h : ∀ (c : R) (x), e (c • x) = c • e x) : M ≃ₗ[R] M₂ :=
@@ -1274,10 +1085,7 @@ def toLinearEquiv (h : ∀ (c : R) (x), e (c • x) = c • e x) : M ≃ₗ[R] M
 #align add_equiv.to_linear_equiv AddEquiv.toLinearEquiv
 
 /- warning: add_equiv.coe_to_linear_equiv -> AddEquiv.coe_toLinearEquiv is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align add_equiv.coe_to_linear_equiv AddEquiv.coe_toLinearEquivₓ'. -/
 @[simp]
 theorem coe_toLinearEquiv (h : ∀ (c : R) (x), e (c • x) = c • e x) : ⇑(e.toLinearEquiv h) = e :=
@@ -1285,10 +1093,7 @@ theorem coe_toLinearEquiv (h : ∀ (c : R) (x), e (c • x) = c • e x) : ⇑(e
 #align add_equiv.coe_to_linear_equiv AddEquiv.coe_toLinearEquiv
 
 /- warning: add_equiv.coe_to_linear_equiv_symm -> AddEquiv.coe_toLinearEquiv_symm is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align add_equiv.coe_to_linear_equiv_symm AddEquiv.coe_toLinearEquiv_symmₓ'. -/
 @[simp]
 theorem coe_toLinearEquiv_symm (h : ∀ (c : R) (x), e (c • x) = c • e x) :
@@ -1311,10 +1116,7 @@ def toNatLinearEquiv : M ≃ₗ[ℕ] M₂ :=
 #align add_equiv.to_nat_linear_equiv AddEquiv.toNatLinearEquiv
 
 /- warning: add_equiv.coe_to_nat_linear_equiv -> AddEquiv.coe_toNatLinearEquiv is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align add_equiv.coe_to_nat_linear_equiv AddEquiv.coe_toNatLinearEquivₓ'. -/
 @[simp]
 theorem coe_toNatLinearEquiv : ⇑e.toNatLinearEquiv = e :=
@@ -1322,10 +1124,7 @@ theorem coe_toNatLinearEquiv : ⇑e.toNatLinearEquiv = e :=
 #align add_equiv.coe_to_nat_linear_equiv AddEquiv.coe_toNatLinearEquiv
 
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 @[simp]
 theorem toNatLinearEquiv_toAddEquiv : e.toNatLinearEquiv.toAddEquiv = e :=
@@ -1335,10 +1134,7 @@ theorem toNatLinearEquiv_toAddEquiv : e.toNatLinearEquiv.toAddEquiv = e :=
 #align add_equiv.to_nat_linear_equiv_to_add_equiv AddEquiv.toNatLinearEquiv_toAddEquiv
 
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 Case conversion may be inaccurate. Consider using '#align linear_equiv.to_add_equiv_to_nat_linear_equiv LinearEquiv.toAddEquiv_toNatLinearEquivₓ'. -/
 @[simp]
 theorem LinearEquiv.toAddEquiv_toNatLinearEquiv (e : M ≃ₗ[ℕ] M₂) :
@@ -1365,10 +1161,7 @@ theorem toNatLinearEquiv_refl : (AddEquiv.refl M).toNatLinearEquiv = LinearEquiv
 -/
 
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 Case conversion may be inaccurate. Consider using '#align add_equiv.to_nat_linear_equiv_trans AddEquiv.toNatLinearEquiv_transₓ'. -/
 @[simp]
 theorem toNatLinearEquiv_trans (e₂ : M₂ ≃+ M₃) :
@@ -1397,10 +1190,7 @@ def toIntLinearEquiv : M ≃ₗ[ℤ] M₂ :=
 #align add_equiv.to_int_linear_equiv AddEquiv.toIntLinearEquiv
 
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 Case conversion may be inaccurate. Consider using '#align add_equiv.coe_to_int_linear_equiv AddEquiv.coe_toIntLinearEquivₓ'. -/
 @[simp]
 theorem coe_toIntLinearEquiv : ⇑e.toIntLinearEquiv = e :=
@@ -1408,10 +1198,7 @@ theorem coe_toIntLinearEquiv : ⇑e.toIntLinearEquiv = e :=
 #align add_equiv.coe_to_int_linear_equiv AddEquiv.coe_toIntLinearEquiv
 
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 Case conversion may be inaccurate. Consider using '#align add_equiv.to_int_linear_equiv_to_add_equiv AddEquiv.toIntLinearEquiv_toAddEquivₓ'. -/
 @[simp]
 theorem toIntLinearEquiv_toAddEquiv : e.toIntLinearEquiv.toAddEquiv = e :=
@@ -1421,10 +1208,7 @@ theorem toIntLinearEquiv_toAddEquiv : e.toIntLinearEquiv.toAddEquiv = e :=
 #align add_equiv.to_int_linear_equiv_to_add_equiv AddEquiv.toIntLinearEquiv_toAddEquiv
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.to_add_equiv_to_int_linear_equiv LinearEquiv.toAddEquiv_toIntLinearEquivₓ'. -/
 @[simp]
 theorem LinearEquiv.toAddEquiv_toIntLinearEquiv (e : M ≃ₗ[ℤ] M₂) :
@@ -1455,10 +1239,7 @@ theorem toIntLinearEquiv_refl : (AddEquiv.refl M).toIntLinearEquiv = LinearEquiv
 #align add_equiv.to_int_linear_equiv_refl AddEquiv.toIntLinearEquiv_refl
 
 /- warning: add_equiv.to_int_linear_equiv_trans -> AddEquiv.toIntLinearEquiv_trans is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align add_equiv.to_int_linear_equiv_trans AddEquiv.toIntLinearEquiv_transₓ'. -/
 @[simp]
 theorem toIntLinearEquiv_trans (e₂ : M₂ ≃+ M₃) :

ea94d7cd

bump to nightly-2023-05-24-06

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

fbc7b476

Diff

@@ -263,7 +263,7 @@ theorem toLinearMap_eq_coe : e.toLinearMap = (e : M →ₛₗ[σ] M₂) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u3) (succ u4)} (M -> M₂) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (LinearEquiv.LinearMap.hasCoe.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂)))) e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u2, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) (LinearEquiv.toLinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ e)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e)
+  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u2, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) (LinearEquiv.toLinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ e)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_coe LinearEquiv.coe_coeₓ'. -/
 @[simp, norm_cast]
 theorem coe_coe : ⇑(e : M →ₛₗ[σ] M₂) = e :=
@@ -285,7 +285,7 @@ theorem coe_toEquiv : ⇑e.toEquiv = e :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u3) (succ u4)} (M -> M₂) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) (LinearEquiv.toLinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u2, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) (LinearEquiv.toLinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ e)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e)
+  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u2, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) (LinearEquiv.toLinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ e)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_linear_map LinearEquiv.coe_toLinearMapₓ'. -/
 @[simp]
 theorem coe_toLinearMap : ⇑e.toLinearMap = e :=
@@ -368,7 +368,7 @@ end
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_13 : Module.{u1, u2} R M _inst_1 _inst_6] (x : M), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_13 _inst_13) (fun (_x : LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_13 _inst_13) => M -> M) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 _inst_13 _inst_13 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)) (LinearEquiv.refl.{u1, u2} R M _inst_1 _inst_6 _inst_13) x) x
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_6 : AddCommMonoid.{u1} M] [_inst_13 : Module.{u2, u1} R M _inst_1 _inst_6] (x : M), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M) x) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_13 _inst_13) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M) _x) (SMulHomClass.toFunLike.{u1, u2, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_13 _inst_13) R M M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_13)))) (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_13)))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_13 _inst_13) R M M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_13) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_13) (SemilinearMapClass.distribMulActionHomClass.{u2, u1, u1, u1} R M M (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_13 _inst_13) _inst_1 _inst_6 _inst_6 _inst_13 _inst_13 (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u1, u1, u1} R R M M (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_13 _inst_13) _inst_1 _inst_1 _inst_6 _inst_6 _inst_13 _inst_13 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 _inst_13 _inst_13 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1)))))) (LinearEquiv.refl.{u2, u1} R M _inst_1 _inst_6 _inst_13) x) x
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_6 : AddCommMonoid.{u1} M] [_inst_13 : Module.{u2, u1} R M _inst_1 _inst_6] (x : M), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : M) => M) x) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_13 _inst_13) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : M) => M) _x) (SMulHomClass.toFunLike.{u1, u2, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_13 _inst_13) R M M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_13)))) (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_13)))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_13 _inst_13) R M M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_13) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_13) (SemilinearMapClass.distribMulActionHomClass.{u2, u1, u1, u1} R M M (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_13 _inst_13) _inst_1 _inst_6 _inst_6 _inst_13 _inst_13 (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u1, u1, u1} R R M M (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_13 _inst_13) _inst_1 _inst_1 _inst_6 _inst_6 _inst_13 _inst_13 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 _inst_13 _inst_13 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1)))))) (LinearEquiv.refl.{u2, u1} R M _inst_1 _inst_6 _inst_13) x) x
 Case conversion may be inaccurate. Consider using '#align linear_equiv.refl_apply LinearEquiv.refl_applyₓ'. -/
 @[simp]
 theorem refl_apply [Module R M] (x : M) : refl R M x = x :=
@@ -832,7 +832,7 @@ include module_N₁ module_N₂
 lean 3 declaration is
   forall {R₁ : Type.{u1}} {N₁ : Type.{u2}} {N₂ : Type.{u3}} [_inst_3 : Semiring.{u1} R₁] [_inst_11 : AddCommMonoid.{u2} N₁] [_inst_12 : AddCommMonoid.{u3} N₂] {module_N₁ : Module.{u1, u2} R₁ N₁ _inst_3 _inst_11} {module_N₂ : Module.{u1, u3} R₁ N₂ _inst_3 _inst_12} (e : LinearEquiv.{u1, u1, u2, u3} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_3)) (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_3)) (RingHomInvPair.ids.{u1} R₁ _inst_3) (RingHomInvPair.ids.{u1} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) (c : R₁) (x : N₁), Eq.{succ u3} N₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearEquiv.{u1, u1, u2, u3} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_3)) (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_3)) (RingHomInvPair.ids.{u1} R₁ _inst_3) (RingHomInvPair.ids.{u1} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) (fun (_x : LinearEquiv.{u1, u1, u2, u3} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_3)) (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_3)) (RingHomInvPair.ids.{u1} R₁ _inst_3) (RingHomInvPair.ids.{u1} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) => N₁ -> N₂) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u3} R₁ R₁ N₁ N₂ _inst_3 _inst_3 _inst_11 _inst_12 module_N₁ module_N₂ (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_3)) (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_3)) (RingHomInvPair.ids.{u1} R₁ _inst_3) (RingHomInvPair.ids.{u1} R₁ _inst_3)) e (SMul.smul.{u1, u2} R₁ N₁ (SMulZeroClass.toHasSmul.{u1, u2} R₁ N₁ (AddZeroClass.toHasZero.{u2} N₁ (AddMonoid.toAddZeroClass.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11))) (SMulWithZero.toSmulZeroClass.{u1, u2} R₁ N₁ (MulZeroClass.toHasZero.{u1} R₁ (MulZeroOneClass.toMulZeroClass.{u1} R₁ (MonoidWithZero.toMulZeroOneClass.{u1} R₁ (Semiring.toMonoidWithZero.{u1} R₁ _inst_3)))) (AddZeroClass.toHasZero.{u2} N₁ (AddMonoid.toAddZeroClass.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u2} R₁ N₁ (Semiring.toMonoidWithZero.{u1} R₁ _inst_3) (AddZeroClass.toHasZero.{u2} N₁ (AddMonoid.toAddZeroClass.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11))) (Module.toMulActionWithZero.{u1, u2} R₁ N₁ _inst_3 _inst_11 module_N₁)))) c x)) (SMul.smul.{u1, u3} R₁ N₂ (SMulZeroClass.toHasSmul.{u1, u3} R₁ N₂ (AddZeroClass.toHasZero.{u3} N₂ (AddMonoid.toAddZeroClass.{u3} N₂ (AddCommMonoid.toAddMonoid.{u3} N₂ _inst_12))) (SMulWithZero.toSmulZeroClass.{u1, u3} R₁ N₂ (MulZeroClass.toHasZero.{u1} R₁ (MulZeroOneClass.toMulZeroClass.{u1} R₁ (MonoidWithZero.toMulZeroOneClass.{u1} R₁ (Semiring.toMonoidWithZero.{u1} R₁ _inst_3)))) (AddZeroClass.toHasZero.{u3} N₂ (AddMonoid.toAddZeroClass.{u3} N₂ (AddCommMonoid.toAddMonoid.{u3} N₂ _inst_12))) (MulActionWithZero.toSMulWithZero.{u1, u3} R₁ N₂ (Semiring.toMonoidWithZero.{u1} R₁ _inst_3) (AddZeroClass.toHasZero.{u3} N₂ (AddMonoid.toAddZeroClass.{u3} N₂ (AddCommMonoid.toAddMonoid.{u3} N₂ _inst_12))) (Module.toMulActionWithZero.{u1, u3} R₁ N₂ _inst_3 _inst_12 module_N₂)))) c (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearEquiv.{u1, u1, u2, u3} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_3)) (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_3)) (RingHomInvPair.ids.{u1} R₁ _inst_3) (RingHomInvPair.ids.{u1} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) (fun (_x : LinearEquiv.{u1, u1, u2, u3} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_3)) (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_3)) (RingHomInvPair.ids.{u1} R₁ _inst_3) (RingHomInvPair.ids.{u1} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) => N₁ -> N₂) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u3} R₁ R₁ N₁ N₂ _inst_3 _inst_3 _inst_11 _inst_12 module_N₁ module_N₂ (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_3)) (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_3)) (RingHomInvPair.ids.{u1} R₁ _inst_3) (RingHomInvPair.ids.{u1} R₁ _inst_3)) e x))
 but is expected to have type
-  forall {R₁ : Type.{u3}} {N₁ : Type.{u2}} {N₂ : Type.{u1}} [_inst_3 : Semiring.{u3} R₁] [_inst_11 : AddCommMonoid.{u2} N₁] [_inst_12 : AddCommMonoid.{u1} N₂] {module_N₁ : Module.{u3, u2} R₁ N₁ _inst_3 _inst_11} {module_N₂ : Module.{u3, u1} R₁ N₂ _inst_3 _inst_12} (e : LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) (c : R₁) (x : N₁), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : N₁) => N₂) (HSMul.hSMul.{u3, u2, u2} R₁ N₁ N₁ (instHSMul.{u3, u2} R₁ N₁ (SMulZeroClass.toSMul.{u3, u2} R₁ N₁ (AddMonoid.toZero.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (SMulWithZero.toSMulZeroClass.{u3, u2} R₁ N₁ (MonoidWithZero.toZero.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddMonoid.toZero.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (MulActionWithZero.toSMulWithZero.{u3, u2} R₁ N₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3) (AddMonoid.toZero.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (Module.toMulActionWithZero.{u3, u2} R₁ N₁ _inst_3 _inst_11 module_N₁))))) c x)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) N₁ (fun (_x : N₁) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : N₁) => N₂) _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) R₁ N₁ N₂ (SMulZeroClass.toSMul.{u3, u2} R₁ N₁ (AddMonoid.toZero.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (DistribSMul.toSMulZeroClass.{u3, u2} R₁ N₁ (AddMonoid.toAddZeroClass.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (DistribMulAction.toDistribSMul.{u3, u2} R₁ N₁ (MonoidWithZero.toMonoid.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11) (Module.toDistribMulAction.{u3, u2} R₁ N₁ _inst_3 _inst_11 module_N₁)))) (SMulZeroClass.toSMul.{u3, u1} R₁ N₂ (AddMonoid.toZero.{u1} N₂ (AddCommMonoid.toAddMonoid.{u1} N₂ _inst_12)) (DistribSMul.toSMulZeroClass.{u3, u1} R₁ N₂ (AddMonoid.toAddZeroClass.{u1} N₂ (AddCommMonoid.toAddMonoid.{u1} N₂ _inst_12)) (DistribMulAction.toDistribSMul.{u3, u1} R₁ N₂ (MonoidWithZero.toMonoid.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddCommMonoid.toAddMonoid.{u1} N₂ _inst_12) (Module.toDistribMulAction.{u3, u1} R₁ N₂ _inst_3 _inst_12 module_N₂)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) R₁ N₁ N₂ (MonoidWithZero.toMonoid.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11) (AddCommMonoid.toAddMonoid.{u1} N₂ _inst_12) (Module.toDistribMulAction.{u3, u2} R₁ N₁ _inst_3 _inst_11 module_N₁) (Module.toDistribMulAction.{u3, u1} R₁ N₂ _inst_3 _inst_12 module_N₂) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} R₁ N₁ N₂ (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) _inst_3 _inst_11 _inst_12 module_N₁ module_N₂ (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} R₁ R₁ N₁ N₂ (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) _inst_3 _inst_3 _inst_11 _inst_12 module_N₁ module_N₂ (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} R₁ R₁ N₁ N₂ _inst_3 _inst_3 _inst_11 _inst_12 module_N₁ module_N₂ (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3)))))) e (HSMul.hSMul.{u3, u2, u2} R₁ N₁ N₁ (instHSMul.{u3, u2} R₁ N₁ (SMulZeroClass.toSMul.{u3, u2} R₁ N₁ (AddMonoid.toZero.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (SMulWithZero.toSMulZeroClass.{u3, u2} R₁ N₁ (MonoidWithZero.toZero.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddMonoid.toZero.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (MulActionWithZero.toSMulWithZero.{u3, u2} R₁ N₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3) (AddMonoid.toZero.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (Module.toMulActionWithZero.{u3, u2} R₁ N₁ _inst_3 _inst_11 module_N₁))))) c x)) (HSMul.hSMul.{u3, u1, u1} R₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : N₁) => N₂) x) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : N₁) => N₂) x) (instHSMul.{u3, u1} R₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : N₁) => N₂) x) (SMulZeroClass.toSMul.{u3, u1} R₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : N₁) => N₂) x) (AddMonoid.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : N₁) => N₂) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : N₁) => N₂) x) _inst_12)) (SMulWithZero.toSMulZeroClass.{u3, u1} R₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : N₁) => N₂) x) (MonoidWithZero.toZero.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddMonoid.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : N₁) => N₂) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : N₁) => N₂) x) _inst_12)) (MulActionWithZero.toSMulWithZero.{u3, u1} R₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : N₁) => N₂) x) (Semiring.toMonoidWithZero.{u3} R₁ _inst_3) (AddMonoid.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : N₁) => N₂) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : N₁) => N₂) x) _inst_12)) (Module.toMulActionWithZero.{u3, u1} R₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : N₁) => N₂) x) _inst_3 _inst_12 module_N₂))))) c (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) N₁ (fun (_x : N₁) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : N₁) => N₂) _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) R₁ N₁ N₂ (SMulZeroClass.toSMul.{u3, u2} R₁ N₁ (AddMonoid.toZero.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (DistribSMul.toSMulZeroClass.{u3, u2} R₁ N₁ (AddMonoid.toAddZeroClass.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (DistribMulAction.toDistribSMul.{u3, u2} R₁ N₁ (MonoidWithZero.toMonoid.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11) (Module.toDistribMulAction.{u3, u2} R₁ N₁ _inst_3 _inst_11 module_N₁)))) (SMulZeroClass.toSMul.{u3, u1} R₁ N₂ (AddMonoid.toZero.{u1} N₂ (AddCommMonoid.toAddMonoid.{u1} N₂ _inst_12)) (DistribSMul.toSMulZeroClass.{u3, u1} R₁ N₂ (AddMonoid.toAddZeroClass.{u1} N₂ (AddCommMonoid.toAddMonoid.{u1} N₂ _inst_12)) (DistribMulAction.toDistribSMul.{u3, u1} R₁ N₂ (MonoidWithZero.toMonoid.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddCommMonoid.toAddMonoid.{u1} N₂ _inst_12) (Module.toDistribMulAction.{u3, u1} R₁ N₂ _inst_3 _inst_12 module_N₂)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) R₁ N₁ N₂ (MonoidWithZero.toMonoid.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11) (AddCommMonoid.toAddMonoid.{u1} N₂ _inst_12) (Module.toDistribMulAction.{u3, u2} R₁ N₁ _inst_3 _inst_11 module_N₁) (Module.toDistribMulAction.{u3, u1} R₁ N₂ _inst_3 _inst_12 module_N₂) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} R₁ N₁ N₂ (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) _inst_3 _inst_11 _inst_12 module_N₁ module_N₂ (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} R₁ R₁ N₁ N₂ (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) _inst_3 _inst_3 _inst_11 _inst_12 module_N₁ module_N₂ (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} R₁ R₁ N₁ N₂ _inst_3 _inst_3 _inst_11 _inst_12 module_N₁ module_N₂ (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3)))))) e x))
+  forall {R₁ : Type.{u3}} {N₁ : Type.{u2}} {N₂ : Type.{u1}} [_inst_3 : Semiring.{u3} R₁] [_inst_11 : AddCommMonoid.{u2} N₁] [_inst_12 : AddCommMonoid.{u1} N₂] {module_N₁ : Module.{u3, u2} R₁ N₁ _inst_3 _inst_11} {module_N₂ : Module.{u3, u1} R₁ N₂ _inst_3 _inst_12} (e : LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) (c : R₁) (x : N₁), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : N₁) => N₂) (HSMul.hSMul.{u3, u2, u2} R₁ N₁ N₁ (instHSMul.{u3, u2} R₁ N₁ (SMulZeroClass.toSMul.{u3, u2} R₁ N₁ (AddMonoid.toZero.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (SMulWithZero.toSMulZeroClass.{u3, u2} R₁ N₁ (MonoidWithZero.toZero.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddMonoid.toZero.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (MulActionWithZero.toSMulWithZero.{u3, u2} R₁ N₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3) (AddMonoid.toZero.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (Module.toMulActionWithZero.{u3, u2} R₁ N₁ _inst_3 _inst_11 module_N₁))))) c x)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) N₁ (fun (_x : N₁) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : N₁) => N₂) _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) R₁ N₁ N₂ (SMulZeroClass.toSMul.{u3, u2} R₁ N₁ (AddMonoid.toZero.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (DistribSMul.toSMulZeroClass.{u3, u2} R₁ N₁ (AddMonoid.toAddZeroClass.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (DistribMulAction.toDistribSMul.{u3, u2} R₁ N₁ (MonoidWithZero.toMonoid.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11) (Module.toDistribMulAction.{u3, u2} R₁ N₁ _inst_3 _inst_11 module_N₁)))) (SMulZeroClass.toSMul.{u3, u1} R₁ N₂ (AddMonoid.toZero.{u1} N₂ (AddCommMonoid.toAddMonoid.{u1} N₂ _inst_12)) (DistribSMul.toSMulZeroClass.{u3, u1} R₁ N₂ (AddMonoid.toAddZeroClass.{u1} N₂ (AddCommMonoid.toAddMonoid.{u1} N₂ _inst_12)) (DistribMulAction.toDistribSMul.{u3, u1} R₁ N₂ (MonoidWithZero.toMonoid.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddCommMonoid.toAddMonoid.{u1} N₂ _inst_12) (Module.toDistribMulAction.{u3, u1} R₁ N₂ _inst_3 _inst_12 module_N₂)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) R₁ N₁ N₂ (MonoidWithZero.toMonoid.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11) (AddCommMonoid.toAddMonoid.{u1} N₂ _inst_12) (Module.toDistribMulAction.{u3, u2} R₁ N₁ _inst_3 _inst_11 module_N₁) (Module.toDistribMulAction.{u3, u1} R₁ N₂ _inst_3 _inst_12 module_N₂) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} R₁ N₁ N₂ (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) _inst_3 _inst_11 _inst_12 module_N₁ module_N₂ (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} R₁ R₁ N₁ N₂ (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) _inst_3 _inst_3 _inst_11 _inst_12 module_N₁ module_N₂ (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} R₁ R₁ N₁ N₂ _inst_3 _inst_3 _inst_11 _inst_12 module_N₁ module_N₂ (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3)))))) e (HSMul.hSMul.{u3, u2, u2} R₁ N₁ N₁ (instHSMul.{u3, u2} R₁ N₁ (SMulZeroClass.toSMul.{u3, u2} R₁ N₁ (AddMonoid.toZero.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (SMulWithZero.toSMulZeroClass.{u3, u2} R₁ N₁ (MonoidWithZero.toZero.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddMonoid.toZero.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (MulActionWithZero.toSMulWithZero.{u3, u2} R₁ N₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3) (AddMonoid.toZero.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (Module.toMulActionWithZero.{u3, u2} R₁ N₁ _inst_3 _inst_11 module_N₁))))) c x)) (HSMul.hSMul.{u3, u1, u1} R₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : N₁) => N₂) x) ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : N₁) => N₂) x) (instHSMul.{u3, u1} R₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : N₁) => N₂) x) (SMulZeroClass.toSMul.{u3, u1} R₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : N₁) => N₂) x) (AddMonoid.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : N₁) => N₂) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : N₁) => N₂) x) _inst_12)) (SMulWithZero.toSMulZeroClass.{u3, u1} R₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : N₁) => N₂) x) (MonoidWithZero.toZero.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddMonoid.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : N₁) => N₂) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : N₁) => N₂) x) _inst_12)) (MulActionWithZero.toSMulWithZero.{u3, u1} R₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : N₁) => N₂) x) (Semiring.toMonoidWithZero.{u3} R₁ _inst_3) (AddMonoid.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : N₁) => N₂) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : N₁) => N₂) x) _inst_12)) (Module.toMulActionWithZero.{u3, u1} R₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : N₁) => N₂) x) _inst_3 _inst_12 module_N₂))))) c (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) N₁ (fun (_x : N₁) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : N₁) => N₂) _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) R₁ N₁ N₂ (SMulZeroClass.toSMul.{u3, u2} R₁ N₁ (AddMonoid.toZero.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (DistribSMul.toSMulZeroClass.{u3, u2} R₁ N₁ (AddMonoid.toAddZeroClass.{u2} N₁ (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11)) (DistribMulAction.toDistribSMul.{u3, u2} R₁ N₁ (MonoidWithZero.toMonoid.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11) (Module.toDistribMulAction.{u3, u2} R₁ N₁ _inst_3 _inst_11 module_N₁)))) (SMulZeroClass.toSMul.{u3, u1} R₁ N₂ (AddMonoid.toZero.{u1} N₂ (AddCommMonoid.toAddMonoid.{u1} N₂ _inst_12)) (DistribSMul.toSMulZeroClass.{u3, u1} R₁ N₂ (AddMonoid.toAddZeroClass.{u1} N₂ (AddCommMonoid.toAddMonoid.{u1} N₂ _inst_12)) (DistribMulAction.toDistribSMul.{u3, u1} R₁ N₂ (MonoidWithZero.toMonoid.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddCommMonoid.toAddMonoid.{u1} N₂ _inst_12) (Module.toDistribMulAction.{u3, u1} R₁ N₂ _inst_3 _inst_12 module_N₂)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u2, u1} (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) R₁ N₁ N₂ (MonoidWithZero.toMonoid.{u3} R₁ (Semiring.toMonoidWithZero.{u3} R₁ _inst_3)) (AddCommMonoid.toAddMonoid.{u2} N₁ _inst_11) (AddCommMonoid.toAddMonoid.{u1} N₂ _inst_12) (Module.toDistribMulAction.{u3, u2} R₁ N₁ _inst_3 _inst_11 module_N₁) (Module.toDistribMulAction.{u3, u1} R₁ N₂ _inst_3 _inst_12 module_N₂) (SemilinearMapClass.distribMulActionHomClass.{u3, u2, u1, max u2 u1} R₁ N₁ N₂ (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) _inst_3 _inst_11 _inst_12 module_N₁ module_N₂ (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u2, u1, max u2 u1} R₁ R₁ N₁ N₂ (LinearEquiv.{u3, u3, u2, u1} R₁ R₁ _inst_3 _inst_3 (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) N₁ N₂ _inst_11 _inst_12 module_N₁ module_N₂) _inst_3 _inst_3 _inst_11 _inst_12 module_N₁ module_N₂ (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u2, u1} R₁ R₁ N₁ N₂ _inst_3 _inst_3 _inst_11 _inst_12 module_N₁ module_N₂ (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ _inst_3)) (RingHomInvPair.ids.{u3} R₁ _inst_3) (RingHomInvPair.ids.{u3} R₁ _inst_3)))))) e x))
 Case conversion may be inaccurate. Consider using '#align linear_equiv.map_smul LinearEquiv.map_smulₓ'. -/
 theorem map_smul (e : N₁ ≃ₗ[R₁] N₂) (c : R₁) (x : N₁) : e (c • x) = c • e x :=
   map_smulₛₗ e c x
@@ -923,7 +923,7 @@ theorem symm_mk (f h₁ h₂ h₃ h₄) :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u3} M₂] [_inst_19 : Module.{u1, u2} R M _inst_1 _inst_6] [_inst_20 : Module.{u1, u3} R M₂ _inst_1 _inst_8] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u3} M₂ (to_fun (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)))) x y)) (HAdd.hAdd.{u3, u3, u3} M₂ M₂ M₂ (instHAdd.{u3} M₂ (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u3} M₂ (to_fun (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_6 _inst_19)))) r x)) (SMul.smul.{u1, u3} R M₂ (SMulZeroClass.toHasSmul.{u1, u3} R M₂ (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (Module.toMulActionWithZero.{u1, u3} R M₂ _inst_1 _inst_8 _inst_20)))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) r) (to_fun x))} {left_inv : Function.LeftInverse.{succ u2, succ u3} M M₂ inv_fun to_fun} {right_inv : Function.RightInverse.{succ u2, succ u3} M M₂ inv_fun to_fun}, Eq.{max (succ u3) (succ u2)} (M₂ -> M) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) (fun (_x : LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) => M₂ -> M) (LinearEquiv.hasCoeToFun.{u1, u1, u3, u2} R R M₂ M _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)) (LinearEquiv.symm.{u1, u1, u2, u3} R R M M₂ _inst_1 _inst_1 _inst_6 _inst_8 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.mk.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 to_fun map_add map_smul inv_fun left_inv right_inv))) inv_fun
 but is expected to have type
-  forall {R : Type.{u3}} {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : Semiring.{u3} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u1} M₂] [_inst_19 : Module.{u3, u2} R M _inst_1 _inst_6] [_inst_20 : Module.{u3, u1} R M₂ _inst_1 _inst_8] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u1} M₂ (to_fun (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)))) x y)) (HAdd.hAdd.{u1, u1, u1} M₂ M₂ M₂ (instHAdd.{u1} M₂ (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u1} M₂ (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) (HSMul.hSMul.{u3, u2, u2} R M M (instHSMul.{u3, u2} R M (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u2} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u2} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (Module.toMulActionWithZero.{u3, u2} R M _inst_1 _inst_6 _inst_19))))) r x)) (HSMul.hSMul.{u3, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ M₂ (instHSMul.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ (SMulZeroClass.toSMul.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (SMulWithZero.toSMulZeroClass.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ (MonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) _inst_1)) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (MulActionWithZero.toSMulWithZero.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) _inst_1) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (Module.toMulActionWithZero.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ _inst_1 _inst_8 _inst_20))))) (FunLike.coe.{succ u3, succ u3, succ u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) _x) (MulHomClass.toFunLike.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1) (RingHom.instRingHomClassRingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) r) (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) x))} {left_inv : Function.LeftInverse.{succ u2, succ u1} M M₂ inv_fun (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (LinearMap.toAddHom.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul)))} {right_inv : Function.RightInverse.{succ u2, succ u1} M M₂ inv_fun (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (LinearMap.toAddHom.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul)))}, Eq.{max (succ u2) (succ u1)} (forall (ᾰ : M₂), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M₂) => M) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M₂) => M) _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u1, u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) R M₂ M (SMulZeroClass.toSMul.{u3, u1} R M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (DistribSMul.toSMulZeroClass.{u3, u1} R M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (DistribMulAction.toDistribSMul.{u3, u1} R M₂ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8) (Module.toDistribMulAction.{u3, u1} R M₂ _inst_1 _inst_8 _inst_20)))) (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribSMul.toSMulZeroClass.{u3, u2} R M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribMulAction.toDistribSMul.{u3, u2} R M (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (Module.toDistribMulAction.{u3, u2} R M _inst_1 _inst_6 _inst_19)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u1, u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) R M₂ M (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (Module.toDistribMulAction.{u3, u1} R M₂ _inst_1 _inst_8 _inst_20) (Module.toDistribMulAction.{u3, u2} R M _inst_1 _inst_6 _inst_19) (SemilinearMapClass.distribMulActionHomClass.{u3, u1, u2, max u2 u1} R M₂ M (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u1, u2, max u2 u1} R R M₂ M (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u1, u2} R R M₂ M _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1)))))) (LinearEquiv.symm.{u3, u3, u2, u1} R R M M₂ _inst_1 _inst_1 _inst_6 _inst_8 _inst_19 _inst_20 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) (LinearEquiv.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul) inv_fun left_inv right_inv))) inv_fun
+  forall {R : Type.{u3}} {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : Semiring.{u3} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u1} M₂] [_inst_19 : Module.{u3, u2} R M _inst_1 _inst_6] [_inst_20 : Module.{u3, u1} R M₂ _inst_1 _inst_8] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u1} M₂ (to_fun (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)))) x y)) (HAdd.hAdd.{u1, u1, u1} M₂ M₂ M₂ (instHAdd.{u1} M₂ (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u1} M₂ (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) (HSMul.hSMul.{u3, u2, u2} R M M (instHSMul.{u3, u2} R M (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u2} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u2} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (Module.toMulActionWithZero.{u3, u2} R M _inst_1 _inst_6 _inst_19))))) r x)) (HSMul.hSMul.{u3, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ M₂ (instHSMul.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ (SMulZeroClass.toSMul.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (SMulWithZero.toSMulZeroClass.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ (MonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) _inst_1)) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (MulActionWithZero.toSMulWithZero.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) _inst_1) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (Module.toMulActionWithZero.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ _inst_1 _inst_8 _inst_20))))) (FunLike.coe.{succ u3, succ u3, succ u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) _x) (MulHomClass.toFunLike.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1) (RingHom.instRingHomClassRingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) r) (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) x))} {left_inv : Function.LeftInverse.{succ u2, succ u1} M M₂ inv_fun (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (LinearMap.toAddHom.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul)))} {right_inv : Function.RightInverse.{succ u2, succ u1} M M₂ inv_fun (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (LinearMap.toAddHom.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul)))}, Eq.{max (succ u2) (succ u1)} (forall (ᾰ : M₂), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : M₂) => M) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : M₂) => M) _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u1, u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) R M₂ M (SMulZeroClass.toSMul.{u3, u1} R M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (DistribSMul.toSMulZeroClass.{u3, u1} R M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (DistribMulAction.toDistribSMul.{u3, u1} R M₂ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8) (Module.toDistribMulAction.{u3, u1} R M₂ _inst_1 _inst_8 _inst_20)))) (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribSMul.toSMulZeroClass.{u3, u2} R M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribMulAction.toDistribSMul.{u3, u2} R M (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (Module.toDistribMulAction.{u3, u2} R M _inst_1 _inst_6 _inst_19)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u1, u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) R M₂ M (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (Module.toDistribMulAction.{u3, u1} R M₂ _inst_1 _inst_8 _inst_20) (Module.toDistribMulAction.{u3, u2} R M _inst_1 _inst_6 _inst_19) (SemilinearMapClass.distribMulActionHomClass.{u3, u1, u2, max u2 u1} R M₂ M (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u1, u2, max u2 u1} R R M₂ M (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u1, u2} R R M₂ M _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1)))))) (LinearEquiv.symm.{u3, u3, u2, u1} R R M M₂ _inst_1 _inst_1 _inst_6 _inst_8 _inst_19 _inst_20 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) (LinearEquiv.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul) inv_fun left_inv right_inv))) inv_fun
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_symm_mk LinearEquiv.coe_symm_mkₓ'. -/
 @[simp]
 theorem coe_symm_mk [Module R M] [Module R M₂]
@@ -1009,7 +1009,7 @@ variable [AddCommMonoid M] [AddCommMonoid M₁] [AddCommMonoid M₂]
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] {σ : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {σ' : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} [_inst_9 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u1, u2} R M _inst_1 _inst_6} (f : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M), (Function.Involutive.{succ u2} M (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (fun (_x : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)) -> (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M)
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] {σ : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {σ' : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} [_inst_9 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u1, u2} R M _inst_1 _inst_6} (f : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M), (Function.Involutive.{succ u2} M (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)) -> (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M)
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] {σ : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {σ' : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} [_inst_9 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u1, u2} R M _inst_1 _inst_6} (f : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M), (Function.Involutive.{succ u2} M (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)) -> (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.of_involutive LinearEquiv.ofInvolutiveₓ'. -/
 /-- An involutive linear map is a linear equivalence. -/
 def ofInvolutive {σ σ' : R →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
@@ -1021,7 +1021,7 @@ def ofInvolutive {σ σ' : R →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] {σ : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {σ' : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} [_inst_9 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u1, u2} R M _inst_1 _inst_6} (f : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (hf : Function.Involutive.{succ u2} M (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (fun (_x : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)), Eq.{succ u2} (M -> M) (coeFn.{succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) (fun (_x : LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) => M -> M) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ σ' _inst_9 _inst_10) (LinearEquiv.ofInvolutive.{u1, u2} R M _inst_1 _inst_6 σ σ' _inst_9 _inst_10 module_M f hf)) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (fun (_x : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_6 : AddCommMonoid.{u1} M] {σ : RingHom.{u2, u2} R R (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {σ' : RingHom.{u2, u2} R R (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} [_inst_9 : RingHomInvPair.{u2, u2} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u2, u2} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u2, u1} R M _inst_1 _inst_6} (f : LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (hf : Function.Involutive.{succ u1} M (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)), Eq.{succ u1} (forall (ᾰ : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) ᾰ) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) _x) (EmbeddingLike.toFunLike.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (EquivLike.toEmbeddingLike.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (AddEquivClass.toEquivLike.{u1, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6))) (SemilinearEquivClass.toAddEquivClass.{u1, u2, u2, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ σ' _inst_9 _inst_10))))) (LinearEquiv.ofInvolutive.{u2, u1} R M _inst_1 _inst_6 σ σ' _inst_9 _inst_10 module_M f hf)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_6 : AddCommMonoid.{u1} M] {σ : RingHom.{u2, u2} R R (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {σ' : RingHom.{u2, u2} R R (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} [_inst_9 : RingHomInvPair.{u2, u2} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u2, u2} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u2, u1} R M _inst_1 _inst_6} (f : LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (hf : Function.Involutive.{succ u1} M (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)), Eq.{succ u1} (forall (ᾰ : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) ᾰ) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) _x) (EmbeddingLike.toFunLike.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (EquivLike.toEmbeddingLike.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (AddEquivClass.toEquivLike.{u1, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6))) (SemilinearEquivClass.toAddEquivClass.{u1, u2, u2, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ σ' _inst_9 _inst_10))))) (LinearEquiv.ofInvolutive.{u2, u1} R M _inst_1 _inst_6 σ σ' _inst_9 _inst_10 module_M f hf)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_of_involutive LinearEquiv.coe_ofInvolutiveₓ'. -/
 @[simp]
 theorem coe_ofInvolutive {σ σ' : R →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
@@ -1122,7 +1122,7 @@ instance applyDistribMulAction : DistribMulAction (M ≃ₗ[R] M) M
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_9 : Module.{u1, u2} R M _inst_1 _inst_6] (f : LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (a : M), Eq.{succ u2} M (SMul.smul.{u2, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (SMulZeroClass.toHasSmul.{u2, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (DistribSMul.toSmulZeroClass.{u2, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribMulAction.toDistribSMul.{u2, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (DivInvMonoid.toMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (Group.toDivInvMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (LinearEquiv.automorphismGroup.{u1, u2} R M _inst_1 _inst_6 _inst_9))) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (LinearEquiv.applyDistribMulAction.{u1, u2} R M _inst_1 _inst_6 _inst_9)))) f a) (coeFn.{succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (fun (_x : LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) => M -> M) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 _inst_9 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)) f a)
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_6 : AddCommMonoid.{u1} M] [_inst_9 : Module.{u2, u1} R M _inst_1 _inst_6] (f : LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (a : M), Eq.{succ u1} M (HSMul.hSMul.{u1, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M M (instHSMul.{u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (SMulZeroClass.toSMul.{u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribSMul.toSMulZeroClass.{u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribMulAction.toDistribSMul.{u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_6 _inst_9))) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (LinearEquiv.applyDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_9))))) f a) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M) _x) (SMulHomClass.toFunLike.{u1, u2, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) R M M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_9)))) (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_9)))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) R M M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_9) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_9) (SemilinearMapClass.distribMulActionHomClass.{u2, u1, u1, u1} R M M (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) _inst_1 _inst_6 _inst_6 _inst_9 _inst_9 (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u1, u1, u1} R R M M (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) _inst_1 _inst_1 _inst_6 _inst_6 _inst_9 _inst_9 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 _inst_9 _inst_9 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1)))))) f a)
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_6 : AddCommMonoid.{u1} M] [_inst_9 : Module.{u2, u1} R M _inst_1 _inst_6] (f : LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (a : M), Eq.{succ u1} M (HSMul.hSMul.{u1, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M M (instHSMul.{u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (SMulZeroClass.toSMul.{u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribSMul.toSMulZeroClass.{u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribMulAction.toDistribSMul.{u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (DivInvMonoid.toMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (Group.toDivInvMonoid.{u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (LinearEquiv.automorphismGroup.{u2, u1} R M _inst_1 _inst_6 _inst_9))) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (LinearEquiv.applyDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_9))))) f a) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : M) => M) _x) (SMulHomClass.toFunLike.{u1, u2, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) R M M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_9)))) (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_9)))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) R M M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (AddCommMonoid.toAddMonoid.{u1} M _inst_6) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_9) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_6 _inst_9) (SemilinearMapClass.distribMulActionHomClass.{u2, u1, u1, u1} R M M (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) _inst_1 _inst_6 _inst_6 _inst_9 _inst_9 (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u1, u1, u1} R R M M (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) _inst_1 _inst_1 _inst_6 _inst_6 _inst_9 _inst_9 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 _inst_9 _inst_9 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1)))))) f a)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.smul_def LinearEquiv.smul_defₓ'. -/
 @[simp]
 protected theorem smul_def (f : M ≃ₗ[R] M) (a : M) : f • a = f a :=
@@ -1277,7 +1277,7 @@ def toLinearEquiv (h : ∀ (c : R) (x), e (c • x) = c • e x) : M ≃ₗ[R] M
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_5 : Module.{u1, u2} R M _inst_1 _inst_2] [_inst_6 : Module.{u1, u3} R M₂ _inst_1 _inst_3] (e : AddEquiv.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) (h : forall (c : R) (x : M), Eq.{succ u3} M₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AddEquiv.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) (fun (_x : AddEquiv.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) => M -> M₂) (AddEquiv.hasCoeToFun.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) e (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} M 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 but is expected to have type
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(AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u1) (succ u3), succ u1, succ u3} (AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) M M₂ (EquivLike.toEmbeddingLike.{max (succ u1) (succ u3), succ u1, succ u3} (AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) M M₂ (AddEquivClass.toEquivLike.{max u1 u3, u1, u3} (AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddEquiv.instAddEquivClassAddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))))))) e)
 Case conversion may be inaccurate. Consider using '#align add_equiv.coe_to_linear_equiv AddEquiv.coe_toLinearEquivₓ'. -/
 @[simp]
 theorem coe_toLinearEquiv (h : ∀ (c : R) (x), e (c • x) = c • e x) : ⇑(e.toLinearEquiv h) = e :=
@@ -1288,7 +1288,7 @@ theorem coe_toLinearEquiv (h : ∀ (c : R) (x), e (c • x) = c • e x) : ⇑(e
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_5 : Module.{u1, u2} R M _inst_1 _inst_2] [_inst_6 : Module.{u1, u3} R M₂ _inst_1 _inst_3] (e : AddEquiv.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) (h : forall (c : R) (x : M), Eq.{succ u3} M₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AddEquiv.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) (fun (_x : AddEquiv.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) => M -> M₂) (AddEquiv.hasCoeToFun.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) e (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_2 _inst_5)))) c x)) (SMul.smul.{u1, u3} R M₂ (SMulZeroClass.toHasSmul.{u1, u3} R M₂ (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (Module.toMulActionWithZero.{u1, u3} R M₂ _inst_1 _inst_3 _inst_6)))) c (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AddEquiv.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) (fun (_x : AddEquiv.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) => M -> M₂) (AddEquiv.hasCoeToFun.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) e x))), Eq.{max (succ u3) (succ u2)} (M₂ -> M) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M₂ M _inst_3 _inst_2 _inst_6 _inst_5) (fun (_x : LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M₂ M _inst_3 _inst_2 _inst_6 _inst_5) => M₂ -> M) (LinearEquiv.hasCoeToFun.{u1, u1, u3, u2} R R M₂ M _inst_1 _inst_1 _inst_3 _inst_2 _inst_6 _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)) (LinearEquiv.symm.{u1, u1, u2, u3} R R M M₂ _inst_1 _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (AddEquiv.toLinearEquiv.{u1, u2, u3} R M M₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 e h))) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (AddEquiv.{u3, u2} M₂ M (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)))) (fun (_x : AddEquiv.{u3, u2} M₂ M (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)))) => M₂ -> M) (AddEquiv.hasCoeToFun.{u3, u2} M₂ M (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)))) (AddEquiv.symm.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) e))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_5 : Module.{u2, u1} R M _inst_1 _inst_2] [_inst_6 : Module.{u2, u3} R M₂ _inst_1 _inst_3] (e : AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) (h : forall (c : R) (x : M), Eq.{succ u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (Module.toMulActionWithZero.{u2, u1} R M _inst_1 _inst_2 _inst_5))))) c x)) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u1) (succ u3), succ u1, succ u3} (AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) M M₂ (EquivLike.toEmbeddingLike.{max (succ u1) (succ u3), succ u1, succ u3} (AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) M M₂ (AddEquivClass.toEquivLike.{max u1 u3, u1, u3} (AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddEquiv.instAddEquivClassAddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))))))) e (HSMul.hSMul.{u2, u1, u1} R M M 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(AddEquivClass.toEquivLike.{max u1 u3, u1, u3} (AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddEquiv.instAddEquivClassAddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))))))) e x))), Eq.{max (succ u1) (succ u3)} (forall (ᾰ : M₂), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : M₂) => M) ᾰ) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (LinearEquiv.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M₂ M _inst_3 _inst_2 _inst_6 _inst_5) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : M₂) => M) _x) (SMulHomClass.toFunLike.{max u1 u3, u2, u3, u1} (LinearEquiv.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M₂ M _inst_3 _inst_2 _inst_6 _inst_5) R M₂ M (SMulZeroClass.toSMul.{u2, u3} R M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)) (DistribSMul.toSMulZeroClass.{u2, u3} R M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)) (DistribMulAction.toDistribSMul.{u2, u3} R M₂ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3) (Module.toDistribMulAction.{u2, u3} R M₂ _inst_1 _inst_3 _inst_6)))) (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_5)))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u3, u2, u3, u1} (LinearEquiv.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M₂ M _inst_3 _inst_2 _inst_6 _inst_5) R M₂ M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u3} R M₂ _inst_1 _inst_3 _inst_6) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_5) (SemilinearMapClass.distribMulActionHomClass.{u2, u3, u1, max u1 u3} R M₂ M (LinearEquiv.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M₂ M _inst_3 _inst_2 _inst_6 _inst_5) _inst_1 _inst_3 _inst_2 _inst_6 _inst_5 (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u3, u1, max u1 u3} R R M₂ M (LinearEquiv.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M₂ M _inst_3 _inst_2 _inst_6 _inst_5) _inst_1 _inst_1 _inst_3 _inst_2 _inst_6 _inst_5 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u3, u1} R R M₂ M _inst_1 _inst_1 _inst_3 _inst_2 _inst_6 _inst_5 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1)))))) (LinearEquiv.symm.{u2, u2, u1, u3} R R M M₂ _inst_1 _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) (AddEquiv.toLinearEquiv.{u2, u1, u3} R M M₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 e h))) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (AddEquiv.{u3, u1} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)))) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M₂) => M) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u1), succ u3, succ u1} (AddEquiv.{u3, u1} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)))) M₂ M (EquivLike.toEmbeddingLike.{max (succ u3) (succ u1), succ u3, succ u1} (AddEquiv.{u3, u1} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)))) M₂ M (AddEquivClass.toEquivLike.{max u3 u1, u3, u1} (AddEquiv.{u3, u1} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)))) M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddEquiv.instAddEquivClassAddEquiv.{u3, u1} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))))) (AddEquiv.symm.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) e))
 Case conversion may be inaccurate. Consider using '#align add_equiv.coe_to_linear_equiv_symm AddEquiv.coe_toLinearEquiv_symmₓ'. -/
 @[simp]
 theorem coe_toLinearEquiv_symm (h : ∀ (c : R) (x), e (c • x) = c • e x) :
@@ -1314,7 +1314,7 @@ def toNatLinearEquiv : M ≃ₗ[ℕ] M₂ :=
 lean 3 declaration is
   forall {M : Type.{u1}} {M₂ : Type.{u2}} [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : AddCommMonoid.{u2} M₂] (e : AddEquiv.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_3)))), Eq.{max (succ u1) (succ u2)} (M -> M₂) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearEquiv.{0, 0, u1, u2} Nat Nat Nat.semiring Nat.semiring (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHomInvPair.ids.{0} Nat Nat.semiring) (RingHomInvPair.ids.{0} Nat Nat.semiring) M M₂ _inst_2 _inst_3 (AddCommMonoid.natModule.{u1} M _inst_2) (AddCommMonoid.natModule.{u2} M₂ _inst_3)) (fun (_x : LinearEquiv.{0, 0, u1, u2} Nat Nat Nat.semiring Nat.semiring (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHomInvPair.ids.{0} Nat Nat.semiring) (RingHomInvPair.ids.{0} Nat Nat.semiring) M M₂ _inst_2 _inst_3 (AddCommMonoid.natModule.{u1} M _inst_2) (AddCommMonoid.natModule.{u2} M₂ _inst_3)) => M -> M₂) (LinearEquiv.hasCoeToFun.{0, 0, u1, u2} Nat Nat M M₂ Nat.semiring Nat.semiring _inst_2 _inst_3 (AddCommMonoid.natModule.{u1} M _inst_2) (AddCommMonoid.natModule.{u2} M₂ _inst_3) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHomInvPair.ids.{0} Nat Nat.semiring) (RingHomInvPair.ids.{0} Nat Nat.semiring)) (AddEquiv.toNatLinearEquiv.{u1, u2} M M₂ _inst_2 _inst_3 e)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AddEquiv.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_3)))) (fun (_x : AddEquiv.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_3)))) => M -> M₂) (AddEquiv.hasCoeToFun.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_3)))) e)
 but is expected to have type
-  forall {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : AddCommMonoid.{u1} M₂] (e : AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3)))), Eq.{max (succ u2) (succ u1)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{0, 0, u2, u1} Nat Nat Nat.semiring Nat.semiring (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHomInvPair.ids.{0} Nat Nat.semiring) (RingHomInvPair.ids.{0} Nat Nat.semiring) M M₂ _inst_2 _inst_3 (AddCommMonoid.natModule.{u2} M _inst_2) (AddCommMonoid.natModule.{u1} M₂ _inst_3)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M₂) _x) (SMulHomClass.toFunLike.{max u2 u1, 0, u2, u1} (LinearEquiv.{0, 0, u2, u1} Nat Nat Nat.semiring Nat.semiring (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHomInvPair.ids.{0} Nat Nat.semiring) (RingHomInvPair.ids.{0} Nat Nat.semiring) M M₂ _inst_2 _inst_3 (AddCommMonoid.natModule.{u2} M _inst_2) (AddCommMonoid.natModule.{u1} M₂ _inst_3)) Nat M M₂ (SMulZeroClass.toSMul.{0, u2} Nat M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (DistribSMul.toSMulZeroClass.{0, u2} Nat M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (DistribMulAction.toDistribSMul.{0, u2} Nat M (MonoidWithZero.toMonoid.{0} Nat (Semiring.toMonoidWithZero.{0} Nat Nat.semiring)) (AddCommMonoid.toAddMonoid.{u2} M _inst_2) (Module.toDistribMulAction.{0, u2} Nat M Nat.semiring _inst_2 (AddCommMonoid.natModule.{u2} M _inst_2))))) (SMulZeroClass.toSMul.{0, u1} Nat M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3)) (DistribSMul.toSMulZeroClass.{0, u1} Nat M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3)) (DistribMulAction.toDistribSMul.{0, u1} Nat M₂ (MonoidWithZero.toMonoid.{0} Nat (Semiring.toMonoidWithZero.{0} Nat Nat.semiring)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3) (Module.toDistribMulAction.{0, u1} Nat M₂ Nat.semiring _inst_3 (AddCommMonoid.natModule.{u1} M₂ _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, 0, u2, u1} (LinearEquiv.{0, 0, u2, u1} Nat Nat Nat.semiring Nat.semiring (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHomInvPair.ids.{0} Nat Nat.semiring) (RingHomInvPair.ids.{0} Nat Nat.semiring) M M₂ _inst_2 _inst_3 (AddCommMonoid.natModule.{u2} M _inst_2) (AddCommMonoid.natModule.{u1} M₂ _inst_3)) Nat M M₂ (MonoidWithZero.toMonoid.{0} Nat (Semiring.toMonoidWithZero.{0} Nat Nat.semiring)) (AddCommMonoid.toAddMonoid.{u2} M _inst_2) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3) (Module.toDistribMulAction.{0, u2} Nat M Nat.semiring _inst_2 (AddCommMonoid.natModule.{u2} M _inst_2)) (Module.toDistribMulAction.{0, u1} Nat M₂ Nat.semiring _inst_3 (AddCommMonoid.natModule.{u1} M₂ _inst_3)) (SemilinearMapClass.distribMulActionHomClass.{0, u2, u1, max u2 u1} Nat M M₂ (LinearEquiv.{0, 0, u2, u1} Nat Nat Nat.semiring Nat.semiring (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHomInvPair.ids.{0} Nat Nat.semiring) (RingHomInvPair.ids.{0} Nat Nat.semiring) M M₂ _inst_2 _inst_3 (AddCommMonoid.natModule.{u2} M _inst_2) (AddCommMonoid.natModule.{u1} M₂ _inst_3)) Nat.semiring _inst_2 _inst_3 (AddCommMonoid.natModule.{u2} M _inst_2) (AddCommMonoid.natModule.{u1} M₂ _inst_3) (SemilinearEquivClass.instSemilinearMapClass.{0, 0, u2, u1, max u2 u1} Nat Nat M M₂ (LinearEquiv.{0, 0, u2, u1} Nat Nat Nat.semiring Nat.semiring (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHomInvPair.ids.{0} Nat Nat.semiring) (RingHomInvPair.ids.{0} Nat Nat.semiring) M M₂ _inst_2 _inst_3 (AddCommMonoid.natModule.{u2} M _inst_2) (AddCommMonoid.natModule.{u1} M₂ _inst_3)) Nat.semiring Nat.semiring _inst_2 _inst_3 (AddCommMonoid.natModule.{u2} M _inst_2) (AddCommMonoid.natModule.{u1} M₂ _inst_3) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHomInvPair.ids.{0} Nat Nat.semiring) (RingHomInvPair.ids.{0} Nat Nat.semiring) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{0, 0, u2, u1} Nat Nat M M₂ Nat.semiring Nat.semiring _inst_2 _inst_3 (AddCommMonoid.natModule.{u2} M _inst_2) (AddCommMonoid.natModule.{u1} M₂ _inst_3) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHomInvPair.ids.{0} Nat Nat.semiring) (RingHomInvPair.ids.{0} Nat Nat.semiring)))))) (AddEquiv.toNatLinearEquiv.{u2, u1} M M₂ _inst_2 _inst_3 e)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3)))) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3)))) M M₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3)))) M M₂ (AddEquivClass.toEquivLike.{max u2 u1, u2, u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3)))) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3))) (AddEquiv.instAddEquivClassAddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3))))))) e)
+  forall {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : AddCommMonoid.{u1} M₂] (e : AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3)))), Eq.{max (succ u2) (succ u1)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{0, 0, u2, u1} Nat Nat Nat.semiring Nat.semiring (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHomInvPair.ids.{0} Nat Nat.semiring) (RingHomInvPair.ids.{0} Nat Nat.semiring) M M₂ _inst_2 _inst_3 (AddCommMonoid.natModule.{u2} M _inst_2) (AddCommMonoid.natModule.{u1} M₂ _inst_3)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : M) => M₂) _x) (SMulHomClass.toFunLike.{max u2 u1, 0, u2, u1} (LinearEquiv.{0, 0, u2, u1} Nat Nat Nat.semiring Nat.semiring (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHomInvPair.ids.{0} Nat Nat.semiring) (RingHomInvPair.ids.{0} Nat Nat.semiring) M M₂ _inst_2 _inst_3 (AddCommMonoid.natModule.{u2} M _inst_2) (AddCommMonoid.natModule.{u1} M₂ _inst_3)) Nat M M₂ (SMulZeroClass.toSMul.{0, u2} Nat M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (DistribSMul.toSMulZeroClass.{0, u2} Nat M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (DistribMulAction.toDistribSMul.{0, u2} Nat M (MonoidWithZero.toMonoid.{0} Nat (Semiring.toMonoidWithZero.{0} Nat Nat.semiring)) (AddCommMonoid.toAddMonoid.{u2} M _inst_2) (Module.toDistribMulAction.{0, u2} Nat M Nat.semiring _inst_2 (AddCommMonoid.natModule.{u2} M _inst_2))))) (SMulZeroClass.toSMul.{0, u1} Nat M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3)) (DistribSMul.toSMulZeroClass.{0, u1} Nat M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3)) (DistribMulAction.toDistribSMul.{0, u1} Nat M₂ (MonoidWithZero.toMonoid.{0} Nat (Semiring.toMonoidWithZero.{0} Nat Nat.semiring)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3) (Module.toDistribMulAction.{0, u1} Nat M₂ Nat.semiring _inst_3 (AddCommMonoid.natModule.{u1} M₂ _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, 0, u2, u1} (LinearEquiv.{0, 0, u2, u1} Nat Nat Nat.semiring Nat.semiring (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHomInvPair.ids.{0} Nat Nat.semiring) (RingHomInvPair.ids.{0} Nat Nat.semiring) M M₂ _inst_2 _inst_3 (AddCommMonoid.natModule.{u2} M _inst_2) (AddCommMonoid.natModule.{u1} M₂ _inst_3)) Nat M M₂ (MonoidWithZero.toMonoid.{0} Nat (Semiring.toMonoidWithZero.{0} Nat Nat.semiring)) (AddCommMonoid.toAddMonoid.{u2} M _inst_2) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3) (Module.toDistribMulAction.{0, u2} Nat M Nat.semiring _inst_2 (AddCommMonoid.natModule.{u2} M _inst_2)) (Module.toDistribMulAction.{0, u1} Nat M₂ Nat.semiring _inst_3 (AddCommMonoid.natModule.{u1} M₂ _inst_3)) (SemilinearMapClass.distribMulActionHomClass.{0, u2, u1, max u2 u1} Nat M M₂ (LinearEquiv.{0, 0, u2, u1} Nat Nat Nat.semiring Nat.semiring (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHomInvPair.ids.{0} Nat Nat.semiring) (RingHomInvPair.ids.{0} Nat Nat.semiring) M M₂ _inst_2 _inst_3 (AddCommMonoid.natModule.{u2} M _inst_2) (AddCommMonoid.natModule.{u1} M₂ _inst_3)) Nat.semiring _inst_2 _inst_3 (AddCommMonoid.natModule.{u2} M _inst_2) (AddCommMonoid.natModule.{u1} M₂ _inst_3) (SemilinearEquivClass.instSemilinearMapClass.{0, 0, u2, u1, max u2 u1} Nat Nat M M₂ (LinearEquiv.{0, 0, u2, u1} Nat Nat Nat.semiring Nat.semiring (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHomInvPair.ids.{0} Nat Nat.semiring) (RingHomInvPair.ids.{0} Nat Nat.semiring) M M₂ _inst_2 _inst_3 (AddCommMonoid.natModule.{u2} M _inst_2) (AddCommMonoid.natModule.{u1} M₂ _inst_3)) Nat.semiring Nat.semiring _inst_2 _inst_3 (AddCommMonoid.natModule.{u2} M _inst_2) (AddCommMonoid.natModule.{u1} M₂ _inst_3) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHomInvPair.ids.{0} Nat Nat.semiring) (RingHomInvPair.ids.{0} Nat Nat.semiring) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{0, 0, u2, u1} Nat Nat M M₂ Nat.semiring Nat.semiring _inst_2 _inst_3 (AddCommMonoid.natModule.{u2} M _inst_2) (AddCommMonoid.natModule.{u1} M₂ _inst_3) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHom.id.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (RingHomInvPair.ids.{0} Nat Nat.semiring) (RingHomInvPair.ids.{0} Nat Nat.semiring)))))) (AddEquiv.toNatLinearEquiv.{u2, u1} M M₂ _inst_2 _inst_3 e)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3)))) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3)))) M M₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3)))) M M₂ (AddEquivClass.toEquivLike.{max u2 u1, u2, u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3)))) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3))) (AddEquiv.instAddEquivClassAddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_3))))))) e)
 Case conversion may be inaccurate. Consider using '#align add_equiv.coe_to_nat_linear_equiv AddEquiv.coe_toNatLinearEquivₓ'. -/
 @[simp]
 theorem coe_toNatLinearEquiv : ⇑e.toNatLinearEquiv = e :=
@@ -1400,7 +1400,7 @@ def toIntLinearEquiv : M ≃ₗ[ℤ] M₂ :=
 lean 3 declaration is
   forall {M : Type.{u1}} {M₂ : Type.{u2}} [_inst_1 : AddCommGroup.{u1} M] [_inst_2 : AddCommGroup.{u2} M₂] (e : AddEquiv.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (SubNegMonoid.toAddMonoid.{u2} M₂ (AddGroup.toSubNegMonoid.{u2} M₂ (AddCommGroup.toAddGroup.{u2} M₂ _inst_2)))))), Eq.{max (succ u1) (succ u2)} (M -> M₂) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearEquiv.{0, 0, u1, u2} Int Int Int.semiring Int.semiring (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) M M₂ (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M₂ _inst_2) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₂ _inst_2)) (fun (_x : LinearEquiv.{0, 0, u1, u2} Int Int Int.semiring Int.semiring (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) M M₂ (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M₂ _inst_2) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₂ _inst_2)) => M -> M₂) (LinearEquiv.hasCoeToFun.{0, 0, u1, u2} Int Int M M₂ Int.semiring Int.semiring (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M₂ _inst_2) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₂ _inst_2) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring)) (AddEquiv.toIntLinearEquiv.{u1, u2} M M₂ _inst_1 _inst_2 e)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AddEquiv.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (SubNegMonoid.toAddMonoid.{u2} M₂ (AddGroup.toSubNegMonoid.{u2} M₂ (AddCommGroup.toAddGroup.{u2} M₂ _inst_2)))))) (fun (_x : AddEquiv.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (SubNegMonoid.toAddMonoid.{u2} M₂ (AddGroup.toSubNegMonoid.{u2} M₂ (AddCommGroup.toAddGroup.{u2} M₂ _inst_2)))))) => M -> M₂) (AddEquiv.hasCoeToFun.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (SubNegMonoid.toAddMonoid.{u2} M₂ (AddGroup.toSubNegMonoid.{u2} M₂ (AddCommGroup.toAddGroup.{u2} M₂ _inst_2)))))) e)
 but is expected to have type
-  forall {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : AddCommGroup.{u2} M] [_inst_2 : AddCommGroup.{u1} M₂] (e : AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))), Eq.{max (succ u2) (succ u1)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M₂) _x) (SMulHomClass.toFunLike.{max u2 u1, 0, u2, u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int M M₂ (SMulZeroClass.toSMul.{0, u2} Int M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_1))) (DistribSMul.toSMulZeroClass.{0, u2} Int M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_1))) (DistribMulAction.toDistribSMul.{0, u2} Int M (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int Int.instSemiringInt)) (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_1)) (Module.toDistribMulAction.{0, u2} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.intModule.{u2} M _inst_1))))) (SMulZeroClass.toSMul.{0, u1} Int M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2))) (DistribSMul.toSMulZeroClass.{0, u1} Int M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2))) (DistribMulAction.toDistribSMul.{0, u1} Int M₂ (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int Int.instSemiringInt)) (AddCommMonoid.toAddMonoid.{u1} M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2)) (Module.toDistribMulAction.{0, u1} Int M₂ Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u1} M₂ _inst_2))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, 0, u2, u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int M M₂ (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int Int.instSemiringInt)) (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2)) (Module.toDistribMulAction.{0, u2} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.intModule.{u2} M _inst_1)) (Module.toDistribMulAction.{0, u1} Int M₂ Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u1} M₂ _inst_2)) (SemilinearMapClass.distribMulActionHomClass.{0, u2, u1, max u2 u1} Int M M₂ (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (SemilinearEquivClass.instSemilinearMapClass.{0, 0, u2, u1, max u2 u1} Int Int M M₂ (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int.instSemiringInt Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{0, 0, u2, u1} Int Int M M₂ Int.instSemiringInt Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt)))))) (AddEquiv.toIntLinearEquiv.{u2, u1} M M₂ _inst_1 _inst_2 e)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) M M₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) M M₂ (AddEquivClass.toEquivLike.{max u2 u1, u2, u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2))))) (AddEquiv.instAddEquivClassAddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2))))))))) e)
+  forall {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : AddCommGroup.{u2} M] [_inst_2 : AddCommGroup.{u1} M₂] (e : AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))), Eq.{max (succ u2) (succ u1)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : M) => M₂) _x) (SMulHomClass.toFunLike.{max u2 u1, 0, u2, u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int M M₂ (SMulZeroClass.toSMul.{0, u2} Int M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_1))) (DistribSMul.toSMulZeroClass.{0, u2} Int M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_1))) (DistribMulAction.toDistribSMul.{0, u2} Int M (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int Int.instSemiringInt)) (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_1)) (Module.toDistribMulAction.{0, u2} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.intModule.{u2} M _inst_1))))) (SMulZeroClass.toSMul.{0, u1} Int M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2))) (DistribSMul.toSMulZeroClass.{0, u1} Int M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2))) (DistribMulAction.toDistribSMul.{0, u1} Int M₂ (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int Int.instSemiringInt)) (AddCommMonoid.toAddMonoid.{u1} M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2)) (Module.toDistribMulAction.{0, u1} Int M₂ Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u1} M₂ _inst_2))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, 0, u2, u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int M M₂ (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int Int.instSemiringInt)) (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2)) (Module.toDistribMulAction.{0, u2} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.intModule.{u2} M _inst_1)) (Module.toDistribMulAction.{0, u1} Int M₂ Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u1} M₂ _inst_2)) (SemilinearMapClass.distribMulActionHomClass.{0, u2, u1, max u2 u1} Int M M₂ (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (SemilinearEquivClass.instSemilinearMapClass.{0, 0, u2, u1, max u2 u1} Int Int M M₂ (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int.instSemiringInt Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{0, 0, u2, u1} Int Int M M₂ Int.instSemiringInt Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt)))))) (AddEquiv.toIntLinearEquiv.{u2, u1} M M₂ _inst_1 _inst_2 e)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) M M₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) M M₂ (AddEquivClass.toEquivLike.{max u2 u1, u2, u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2))))) (AddEquiv.instAddEquivClassAddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2))))))))) e)
 Case conversion may be inaccurate. Consider using '#align add_equiv.coe_to_int_linear_equiv AddEquiv.coe_toIntLinearEquivₓ'. -/
 @[simp]
 theorem coe_toIntLinearEquiv : ⇑e.toIntLinearEquiv = e :=

ea94d7cd

bump to nightly-2023-05-19-16

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

a31df521

Diff

@@ -157,7 +157,7 @@ instance : CoeFun (M ≃ₛₗ[σ] M₂) fun _ => M → M₂ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_3 : AddCommMonoid.{u3} M] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : Module.{u1, u3} R M _inst_1 _inst_3] [_inst_7 : Module.{u2, u4} S M₂ _inst_2 _inst_5] {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} [_inst_8 : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'] [_inst_9 : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u4} M₂ (to_fun (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)))) x y)) (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toHasAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u4} M₂ (to_fun (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{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 _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_3 _inst_6)))) r x)) (SMul.smul.{u2, u4} S M₂ (SMulZeroClass.toHasSmul.{u2, u4} S M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} S M₂ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} S M₂ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} S M₂ _inst_2 _inst_5 _inst_7)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) σ r) (to_fun x))} {left_inv : Function.LeftInverse.{succ u3, succ u4} M M₂ inv_fun to_fun} {right_inv : Function.RightInverse.{succ u3, succ u4} M M₂ inv_fun to_fun}, Eq.{max (succ u3) (succ u4)} (M -> M₂) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 σ σ' _inst_8 _inst_9) (LinearEquiv.mk.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7 to_fun map_add map_smul inv_fun left_inv right_inv)) to_fun
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_3 : AddCommMonoid.{u3} M] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : Module.{u2, u3} R M _inst_1 _inst_3] [_inst_7 : Module.{u1, u4} S M₂ _inst_2 _inst_5] {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} [_inst_8 : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'] [_inst_9 : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u4} M₂ (to_fun (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)))) x y)) (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u4} M₂ (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) (HSMul.hSMul.{u2, u3, u3} R M M (instHSMul.{u2, u3} R M (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (Module.toMulActionWithZero.{u2, u3} R M _inst_1 _inst_3 _inst_6))))) r x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) M₂ M₂ (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) M₂ (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) M₂ (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_2)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) M₂ (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_2) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) M₂ _inst_2 _inst_5 _inst_7))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) σ r) (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) x))} {left_inv : Function.LeftInverse.{succ u3, succ u4} M M₂ inv_fun (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (LinearMap.toAddHom.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul)))} {right_inv : Function.RightInverse.{succ u3, succ u4} M M₂ inv_fun (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (LinearMap.toAddHom.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul)))}, Eq.{max (succ u3) (succ u4)} (forall (ᾰ : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 σ σ' _inst_8 _inst_9))))) (LinearEquiv.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul) inv_fun left_inv right_inv)) to_fun
+  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_3 : AddCommMonoid.{u3} M] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : Module.{u2, u3} R M _inst_1 _inst_3] [_inst_7 : Module.{u1, u4} S M₂ _inst_2 _inst_5] {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} [_inst_8 : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'] [_inst_9 : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u4} M₂ (to_fun (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)))) x y)) (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u4} M₂ (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) (HSMul.hSMul.{u2, u3, u3} R M M (instHSMul.{u2, u3} R M (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (Module.toMulActionWithZero.{u2, u3} R M _inst_1 _inst_3 _inst_6))))) r x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) M₂ M₂ (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) M₂ (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) M₂ (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_2)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) M₂ (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) _inst_2) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) r) M₂ _inst_2 _inst_5 _inst_7))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) σ r) (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) x))} {left_inv : Function.LeftInverse.{succ u3, succ u4} M M₂ inv_fun (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (LinearMap.toAddHom.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul)))} {right_inv : Function.RightInverse.{succ u3, succ u4} M M₂ inv_fun (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (LinearMap.toAddHom.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul)))}, Eq.{max (succ u3) (succ u4)} (forall (ᾰ : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 σ σ' _inst_8 _inst_9))))) (LinearEquiv.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul) inv_fun left_inv right_inv)) to_fun
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_mk LinearEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk {to_fun inv_fun map_add map_smul left_inv right_inv} :
@@ -274,7 +274,7 @@ theorem coe_coe : ⇑(e : M →ₛₗ[σ] M₂) = e :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u3) (succ u4)} (M -> M₂) (coeFn.{max 1 (max (succ u3) (succ u4)) (succ u4) (succ u3), max (succ u3) (succ u4)} (Equiv.{succ u3, succ u4} M M₂) (fun (_x : Equiv.{succ u3, succ u4} M M₂) => M -> M₂) (Equiv.hasCoeToFun.{succ u3, succ u4} M M₂) (LinearEquiv.toEquiv.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u2, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : M), (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (Equiv.{succ u4, succ u3} M M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : M) => M₂) _x) (Equiv.instFunLikeEquiv.{succ u4, succ u3} M M₂) (LinearEquiv.toEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ e)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e)
+  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u2, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : M), (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (Equiv.{succ u4, succ u3} M M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : M) => M₂) _x) (Equiv.instFunLikeEquiv.{succ u4, succ u3} M M₂) (LinearEquiv.toEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ e)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_equiv LinearEquiv.coe_toEquivₓ'. -/
 @[simp]
 theorem coe_toEquiv : ⇑e.toEquiv = e :=
@@ -818,7 +818,7 @@ protected theorem map_zero : e 0 = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (c : R) (x : M), Eq.{succ u4} M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_6 module_M)))) c x)) (SMul.smul.{u2, u4} S M₂ (SMulZeroClass.toHasSmul.{u2, u4} S M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SMulWithZero.toSmulZeroClass.{u2, u4} S M₂ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (MulActionWithZero.toSMulWithZero.{u2, u4} S M₂ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (Module.toMulActionWithZero.{u2, u4} S M₂ _inst_2 _inst_8 module_S_M₂)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) σ c) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e x))
 but is expected to have type
-  forall {R : Type.{u3}} {S : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u3} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u3, u2} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u3} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u3} R _inst_1)} {re₁ : RingHomInvPair.{u3, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u3} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (c : R) (x : M), Eq.{succ u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) (HSMul.hSMul.{u3, u2, u2} R M M (instHSMul.{u3, u2} R M (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} 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_inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u2 u4, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u2 u4, u3, u1, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u1, u2, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e (HSMul.hSMul.{u3, u2, u2} R M M (instHSMul.{u3, u2} R M (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u2} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u2} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (Module.toMulActionWithZero.{u3, u2} R M _inst_1 _inst_6 module_M))))) c x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) _inst_2)) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) _inst_2) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_2 _inst_8 module_S_M₂))))) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) σ c) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u2 u4, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u2 u4, u3, u1, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u1, u2, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e x))
+  forall {R : Type.{u3}} {S : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u3} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u3, u2} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u3} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u3} R _inst_1)} {re₁ : RingHomInvPair.{u3, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u3} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (c : R) (x : M), Eq.{succ u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) (HSMul.hSMul.{u3, u2, u2} R M M (instHSMul.{u3, u2} R M (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} 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_inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u2 u4, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u2 u4, u3, u1, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u1, u2, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e (HSMul.hSMul.{u3, u2, u2} R M M (instHSMul.{u3, u2} R M (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u2} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u2} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (Module.toMulActionWithZero.{u3, u2} R M _inst_1 _inst_6 module_M))))) c x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) _inst_2)) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) _inst_2) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_2 _inst_8 module_S_M₂))))) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) σ c) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u2 u4, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u2 u4, u3, u1, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u1, u2, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e x))
 Case conversion may be inaccurate. Consider using '#align linear_equiv.map_smulₛₗ LinearEquiv.map_smulₛₗₓ'. -/
 -- TODO: `simp` isn't picking up `map_smulₛₗ` for `linear_equiv`s without specifying `map_smulₛₗ f`
 @[simp]
@@ -895,7 +895,7 @@ theorem symm_bijective [Module R M] [Module S M₂] [RingHomInvPair σ' σ] [Rin
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M₂) (y : M₂), Eq.{succ u3} M (f (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toHasAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8)))) x y)) (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6)))) (f x) (f y))) (h₂ : forall (r : S) (x : M₂), Eq.{succ u3} M (f (SMul.smul.{u2, u4} S M₂ (SMulZeroClass.toHasSmul.{u2, u4} S M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SMulWithZero.toSmulZeroClass.{u2, u4} S M₂ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (MulActionWithZero.toSMulWithZero.{u2, u4} S M₂ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (Module.toMulActionWithZero.{u2, u4} S M₂ _inst_2 _inst_8 module_S_M₂)))) r x)) (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_6 module_M)))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (fun (_x : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) => S -> R) (RingHom.hasCoeToFun.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) σ' r) (f x))) (h₃ : Function.LeftInverse.{succ u4, succ u3} M₂ M (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) f) (h₄ : Function.RightInverse.{succ u4, succ u3} M₂ M (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) f), Eq.{max (succ u4) (succ u3)} (LinearEquiv.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M) (LinearEquiv.mk.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M f h₁ h₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) h₃ h₄) (LinearEquiv.symm.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ e)
 but is expected to have type
-  forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u1, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M₂) (y : M₂), Eq.{succ u4} M (f (HAdd.hAdd.{u3, u3, u3} M₂ M₂ M₂ (instHAdd.{u3} M₂ (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)))) x y)) (HAdd.hAdd.{u4, u4, u4} M M M (instHAdd.{u4} M (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6)))) (f x) (f y))) (h₂ : forall (r : S) (x : M₂), Eq.{succ u4} M (AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) (HSMul.hSMul.{u2, u3, u3} S M₂ M₂ (instHSMul.{u2, u3} S M₂ (SMulZeroClass.toSMul.{u2, u3} S M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)) (SMulWithZero.toSMulZeroClass.{u2, u3} S M₂ (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) 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_inst_6 module_S_M₂ module_M (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) h₂) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (e : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) e) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ 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_inst_2))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (RingHom.instRingHomClassRingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) σ' r) (AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ 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u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u1, u2, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (LinearMap.toAddHom.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) h₂)))) (h₄ : Function.RightInverse.{succ u3, succ u4} M₂ M (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (e : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) e) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 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(AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (LinearMap.toAddHom.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) h₂)))), Eq.{max (succ u4) (succ u3)} (LinearEquiv.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M) (LinearEquiv.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) h₂) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (e : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) e) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u1, u2, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₃ h₄) (LinearEquiv.symm.{u1, u2, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ e)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.mk_coe' LinearEquiv.mk_coe'ₓ'. -/
 @[simp]
 theorem mk_coe' (f h₁ h₂ h₃ h₄) : (LinearEquiv.mk f h₁ h₂ (⇑e) h₃ h₄ : M₂ ≃ₛₗ[σ'] M) = e.symm :=
@@ -906,7 +906,7 @@ theorem mk_coe' (f h₁ h₂ h₃ h₄) : (LinearEquiv.mk f h₁ h₂ (⇑e) h
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M) (y : M), Eq.{succ u4} M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : 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(AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_6 module_M)))) r x)) (SMul.smul.{u2, u4} S M₂ (SMulZeroClass.toHasSmul.{u2, u4} S M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SMulWithZero.toSmulZeroClass.{u2, u4} S M₂ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (MulActionWithZero.toSMulWithZero.{u2, u4} S M₂ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (Module.toMulActionWithZero.{u2, u4} S M₂ _inst_2 _inst_8 module_S_M₂)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) σ r) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) 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 but is expected to have type
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(AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (LinearEquiv.left_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19408) (LinearEquiv.right_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19408))
+  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u2, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M) (y : M), Eq.{succ u4} M₂ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => 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(AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂)))), Eq.{max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M) (LinearEquiv.symm.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄)) (let src._@.Mathlib.Algebra.Module.Equiv._hyg.19408 : LinearEquiv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M := LinearEquiv.symm.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄); LinearEquiv.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) f (AddHom.map_add'.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (LinearMap.toAddHom.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19408)))) (LinearMap.map_smul'.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19408))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (LinearEquiv.left_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19408) (LinearEquiv.right_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19408))
 Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_mk LinearEquiv.symm_mkₓ'. -/
 @[simp]
 theorem symm_mk (f h₁ h₂ h₃ h₄) :
@@ -923,7 +923,7 @@ theorem symm_mk (f h₁ h₂ h₃ h₄) :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u3} M₂] [_inst_19 : Module.{u1, u2} R M _inst_1 _inst_6] [_inst_20 : Module.{u1, u3} R M₂ _inst_1 _inst_8] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u3} M₂ (to_fun (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)))) x y)) (HAdd.hAdd.{u3, u3, u3} M₂ M₂ M₂ (instHAdd.{u3} M₂ (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u3} M₂ (to_fun (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_6 _inst_19)))) r x)) (SMul.smul.{u1, u3} R M₂ (SMulZeroClass.toHasSmul.{u1, u3} R M₂ (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (Module.toMulActionWithZero.{u1, u3} R M₂ _inst_1 _inst_8 _inst_20)))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) r) (to_fun x))} {left_inv : Function.LeftInverse.{succ u2, succ u3} M M₂ inv_fun to_fun} {right_inv : Function.RightInverse.{succ u2, succ u3} M M₂ inv_fun to_fun}, Eq.{max (succ u3) (succ u2)} (M₂ -> M) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) (fun (_x : LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) => M₂ -> M) (LinearEquiv.hasCoeToFun.{u1, u1, u3, u2} R R M₂ M _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)) (LinearEquiv.symm.{u1, u1, u2, u3} R R M M₂ _inst_1 _inst_1 _inst_6 _inst_8 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.mk.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 to_fun map_add map_smul inv_fun left_inv right_inv))) inv_fun
 but is expected to have type
-  forall {R : Type.{u3}} {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : Semiring.{u3} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u1} M₂] [_inst_19 : Module.{u3, u2} R M _inst_1 _inst_6] [_inst_20 : Module.{u3, u1} R M₂ _inst_1 _inst_8] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u1} M₂ (to_fun (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)))) x y)) (HAdd.hAdd.{u1, u1, u1} M₂ M₂ M₂ (instHAdd.{u1} M₂ (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u1} M₂ (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) (HSMul.hSMul.{u3, u2, u2} R M M (instHSMul.{u3, u2} R M (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u2} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u2} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (Module.toMulActionWithZero.{u3, u2} R M _inst_1 _inst_6 _inst_19))))) r x)) (HSMul.hSMul.{u3, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) M₂ M₂ (instHSMul.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) M₂ (SMulZeroClass.toSMul.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (SMulWithZero.toSMulZeroClass.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) M₂ (MonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) _inst_1)) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (MulActionWithZero.toSMulWithZero.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) M₂ (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) _inst_1) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (Module.toMulActionWithZero.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) M₂ _inst_1 _inst_8 _inst_20))))) (FunLike.coe.{succ u3, succ u3, succ u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1) (RingHom.instRingHomClassRingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) r) (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) x))} {left_inv : Function.LeftInverse.{succ u2, succ u1} M M₂ inv_fun (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (LinearMap.toAddHom.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul)))} {right_inv : Function.RightInverse.{succ u2, succ u1} M M₂ inv_fun (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (LinearMap.toAddHom.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul)))}, Eq.{max (succ u2) (succ u1)} (forall (ᾰ : M₂), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M₂) => M) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M₂) => M) _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u1, u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) R M₂ M (SMulZeroClass.toSMul.{u3, u1} R M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (DistribSMul.toSMulZeroClass.{u3, u1} R M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (DistribMulAction.toDistribSMul.{u3, u1} R M₂ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8) (Module.toDistribMulAction.{u3, u1} R M₂ _inst_1 _inst_8 _inst_20)))) (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribSMul.toSMulZeroClass.{u3, u2} R M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribMulAction.toDistribSMul.{u3, u2} R M (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (Module.toDistribMulAction.{u3, u2} R M _inst_1 _inst_6 _inst_19)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u1, u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) R M₂ M (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (Module.toDistribMulAction.{u3, u1} R M₂ _inst_1 _inst_8 _inst_20) (Module.toDistribMulAction.{u3, u2} R M _inst_1 _inst_6 _inst_19) (SemilinearMapClass.distribMulActionHomClass.{u3, u1, u2, max u2 u1} R M₂ M (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u1, u2, max u2 u1} R R M₂ M (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u1, u2} R R M₂ M _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1)))))) (LinearEquiv.symm.{u3, u3, u2, u1} R R M M₂ _inst_1 _inst_1 _inst_6 _inst_8 _inst_19 _inst_20 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) (LinearEquiv.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul) inv_fun left_inv right_inv))) inv_fun
+  forall {R : Type.{u3}} {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : Semiring.{u3} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u1} M₂] [_inst_19 : Module.{u3, u2} R M _inst_1 _inst_6] [_inst_20 : Module.{u3, u1} R M₂ _inst_1 _inst_8] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u1} M₂ (to_fun (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)))) x y)) (HAdd.hAdd.{u1, u1, u1} M₂ M₂ M₂ (instHAdd.{u1} M₂ (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u1} M₂ (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) (HSMul.hSMul.{u3, u2, u2} R M M (instHSMul.{u3, u2} R M (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u2} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u2} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (Module.toMulActionWithZero.{u3, u2} R M _inst_1 _inst_6 _inst_19))))) r x)) (HSMul.hSMul.{u3, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ M₂ (instHSMul.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ (SMulZeroClass.toSMul.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (SMulWithZero.toSMulZeroClass.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ (MonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) _inst_1)) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (MulActionWithZero.toSMulWithZero.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) _inst_1) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (Module.toMulActionWithZero.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) r) M₂ _inst_1 _inst_8 _inst_20))))) (FunLike.coe.{succ u3, succ u3, succ u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) _x) (MulHomClass.toFunLike.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1) (RingHom.instRingHomClassRingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) r) (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) x))} {left_inv : Function.LeftInverse.{succ u2, succ u1} M M₂ inv_fun (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (LinearMap.toAddHom.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul)))} {right_inv : Function.RightInverse.{succ u2, succ u1} M M₂ inv_fun (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (LinearMap.toAddHom.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul)))}, Eq.{max (succ u2) (succ u1)} (forall (ᾰ : M₂), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M₂) => M) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M₂) => M) _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u1, u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) R M₂ M (SMulZeroClass.toSMul.{u3, u1} R M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (DistribSMul.toSMulZeroClass.{u3, u1} R M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (DistribMulAction.toDistribSMul.{u3, u1} R M₂ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8) (Module.toDistribMulAction.{u3, u1} R M₂ _inst_1 _inst_8 _inst_20)))) (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribSMul.toSMulZeroClass.{u3, u2} R M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribMulAction.toDistribSMul.{u3, u2} R M (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (Module.toDistribMulAction.{u3, u2} R M _inst_1 _inst_6 _inst_19)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u1, u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) R M₂ M (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (Module.toDistribMulAction.{u3, u1} R M₂ _inst_1 _inst_8 _inst_20) (Module.toDistribMulAction.{u3, u2} R M _inst_1 _inst_6 _inst_19) (SemilinearMapClass.distribMulActionHomClass.{u3, u1, u2, max u2 u1} R M₂ M (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u1, u2, max u2 u1} R R M₂ M (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u1, u2} R R M₂ M _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1)))))) (LinearEquiv.symm.{u3, u3, u2, u1} R R M M₂ _inst_1 _inst_1 _inst_6 _inst_8 _inst_19 _inst_20 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) (LinearEquiv.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul) inv_fun left_inv right_inv))) inv_fun
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_symm_mk LinearEquiv.coe_symm_mkₓ'. -/
 @[simp]
 theorem coe_symm_mk [Module R M] [Module R M₂]

ea94d7cd

bump to nightly-2023-05-18-03

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

b46e9d53

Diff

@@ -263,7 +263,7 @@ theorem toLinearMap_eq_coe : e.toLinearMap = (e : M →ₛₗ[σ] M₂) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u3) (succ u4)} (M -> M₂) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (LinearEquiv.LinearMap.hasCoe.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂)))) e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u2, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) (LinearEquiv.toLinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ e)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e)
+  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u2, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) (LinearEquiv.toLinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ e)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_coe LinearEquiv.coe_coeₓ'. -/
 @[simp, norm_cast]
 theorem coe_coe : ⇑(e : M →ₛₗ[σ] M₂) = e :=
@@ -285,7 +285,7 @@ theorem coe_toEquiv : ⇑e.toEquiv = e :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u3) (succ u4)} (M -> M₂) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) (LinearEquiv.toLinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u2, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) (LinearEquiv.toLinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ e)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e)
+  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u2, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) (LinearEquiv.toLinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ e)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_linear_map LinearEquiv.coe_toLinearMapₓ'. -/
 @[simp]
 theorem coe_toLinearMap : ⇑e.toLinearMap = e :=
@@ -1009,7 +1009,7 @@ variable [AddCommMonoid M] [AddCommMonoid M₁] [AddCommMonoid M₂]
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] {σ : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {σ' : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} [_inst_9 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u1, u2} R M _inst_1 _inst_6} (f : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M), (Function.Involutive.{succ u2} M (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (fun (_x : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)) -> (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M)
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] {σ : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {σ' : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} [_inst_9 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u1, u2} R M _inst_1 _inst_6} (f : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M), (Function.Involutive.{succ u2} M (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)) -> (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M)
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] {σ : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {σ' : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} [_inst_9 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u1, u2} R M _inst_1 _inst_6} (f : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M), (Function.Involutive.{succ u2} M (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)) -> (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.of_involutive LinearEquiv.ofInvolutiveₓ'. -/
 /-- An involutive linear map is a linear equivalence. -/
 def ofInvolutive {σ σ' : R →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
@@ -1021,7 +1021,7 @@ def ofInvolutive {σ σ' : R →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] {σ : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {σ' : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} [_inst_9 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u1, u2} R M _inst_1 _inst_6} (f : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (hf : Function.Involutive.{succ u2} M (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (fun (_x : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)), Eq.{succ u2} (M -> M) (coeFn.{succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) (fun (_x : LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) => M -> M) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ σ' _inst_9 _inst_10) (LinearEquiv.ofInvolutive.{u1, u2} R M _inst_1 _inst_6 σ σ' _inst_9 _inst_10 module_M f hf)) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (fun (_x : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_6 : AddCommMonoid.{u1} M] {σ : RingHom.{u2, u2} R R (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {σ' : RingHom.{u2, u2} R R (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} [_inst_9 : RingHomInvPair.{u2, u2} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u2, u2} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u2, u1} R M _inst_1 _inst_6} (f : LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (hf : Function.Involutive.{succ u1} M (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)), Eq.{succ u1} (forall (ᾰ : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) ᾰ) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) _x) (EmbeddingLike.toFunLike.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (EquivLike.toEmbeddingLike.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (AddEquivClass.toEquivLike.{u1, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6))) (SemilinearEquivClass.toAddEquivClass.{u1, u2, u2, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ σ' _inst_9 _inst_10))))) (LinearEquiv.ofInvolutive.{u2, u1} R M _inst_1 _inst_6 σ σ' _inst_9 _inst_10 module_M f hf)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_6 : AddCommMonoid.{u1} M] {σ : RingHom.{u2, u2} R R (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {σ' : RingHom.{u2, u2} R R (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} [_inst_9 : RingHomInvPair.{u2, u2} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u2, u2} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u2, u1} R M _inst_1 _inst_6} (f : LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (hf : Function.Involutive.{succ u1} M (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)), Eq.{succ u1} (forall (ᾰ : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) ᾰ) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) _x) (EmbeddingLike.toFunLike.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (EquivLike.toEmbeddingLike.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (AddEquivClass.toEquivLike.{u1, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6))) (SemilinearEquivClass.toAddEquivClass.{u1, u2, u2, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ σ' _inst_9 _inst_10))))) (LinearEquiv.ofInvolutive.{u2, u1} R M _inst_1 _inst_6 σ σ' _inst_9 _inst_10 module_M f hf)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_of_involutive LinearEquiv.coe_ofInvolutiveₓ'. -/
 @[simp]
 theorem coe_ofInvolutive {σ σ' : R →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]

ea94d7cd

bump to nightly-2023-05-16-14

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

b356e20f

Diff

@@ -1288,7 +1288,7 @@ theorem coe_toLinearEquiv (h : ∀ (c : R) (x), e (c • x) = c • e x) : ⇑(e
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_5 : Module.{u1, u2} R M _inst_1 _inst_2] [_inst_6 : Module.{u1, u3} R M₂ _inst_1 _inst_3] (e : AddEquiv.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) (h : forall (c : R) (x : M), Eq.{succ u3} M₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AddEquiv.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) (fun (_x : AddEquiv.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) => M -> M₂) (AddEquiv.hasCoeToFun.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) e (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_2 _inst_5)))) c x)) (SMul.smul.{u1, u3} R M₂ (SMulZeroClass.toHasSmul.{u1, u3} R M₂ (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (Module.toMulActionWithZero.{u1, u3} R M₂ _inst_1 _inst_3 _inst_6)))) c (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AddEquiv.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) (fun (_x : AddEquiv.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) => M -> M₂) (AddEquiv.hasCoeToFun.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) e x))), Eq.{max (succ u3) (succ u2)} (M₂ -> M) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M₂ M _inst_3 _inst_2 _inst_6 _inst_5) (fun (_x : LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M₂ M _inst_3 _inst_2 _inst_6 _inst_5) => M₂ -> M) (LinearEquiv.hasCoeToFun.{u1, u1, u3, u2} R R M₂ M _inst_1 _inst_1 _inst_3 _inst_2 _inst_6 _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)) (LinearEquiv.symm.{u1, u1, u2, u3} R R M M₂ _inst_1 _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (AddEquiv.toLinearEquiv.{u1, u2, u3} R M M₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 e h))) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (AddEquiv.{u3, u2} M₂ M (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)))) (fun (_x : AddEquiv.{u3, u2} M₂ M (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)))) => M₂ -> M) (AddEquiv.hasCoeToFun.{u3, u2} M₂ M (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)))) (AddEquiv.symm.{u2, u3} M M₂ (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) e))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_5 : Module.{u2, u1} R M _inst_1 _inst_2] [_inst_6 : Module.{u2, u3} R M₂ _inst_1 _inst_3] (e : AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) (h : forall (c : R) (x : M), Eq.{succ u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (Module.toMulActionWithZero.{u2, u1} R M _inst_1 _inst_2 _inst_5))))) c x)) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u1) (succ u3), succ u1, succ u3} (AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) M M₂ (EquivLike.toEmbeddingLike.{max (succ u1) (succ u3), succ u1, succ u3} (AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} 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(succ u3), succ u1, succ u3} (AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u1) (succ u3), succ u1, succ u3} (AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) M M₂ (EquivLike.toEmbeddingLike.{max (succ u1) (succ u3), succ u1, succ u3} (AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) M M₂ (AddEquivClass.toEquivLike.{max u1 u3, u1, u3} (AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)))) M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddEquiv.instAddEquivClassAddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))))))) e x))), Eq.{max (succ u1) (succ u3)} (forall (ᾰ : M₂), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M₂) => M) ᾰ) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (LinearEquiv.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M₂ M _inst_3 _inst_2 _inst_6 _inst_5) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M₂) => M) _x) (SMulHomClass.toFunLike.{max u1 u3, u2, u3, u1} (LinearEquiv.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M₂ M _inst_3 _inst_2 _inst_6 _inst_5) R M₂ M (SMulZeroClass.toSMul.{u2, u3} R M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)) (DistribSMul.toSMulZeroClass.{u2, u3} R M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3)) (DistribMulAction.toDistribSMul.{u2, u3} R M₂ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3) (Module.toDistribMulAction.{u2, u3} R M₂ _inst_1 _inst_3 _inst_6)))) (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribSMul.toSMulZeroClass.{u2, u1} R M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (DistribMulAction.toDistribSMul.{u2, u1} R M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_5)))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u3, u2, u3, u1} (LinearEquiv.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M₂ M _inst_3 _inst_2 _inst_6 _inst_5) R M₂ M (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3) (AddCommMonoid.toAddMonoid.{u1} M _inst_2) (Module.toDistribMulAction.{u2, u3} R M₂ _inst_1 _inst_3 _inst_6) (Module.toDistribMulAction.{u2, u1} R M _inst_1 _inst_2 _inst_5) (SemilinearMapClass.distribMulActionHomClass.{u2, u3, u1, max u1 u3} R M₂ M (LinearEquiv.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M₂ M _inst_3 _inst_2 _inst_6 _inst_5) _inst_1 _inst_3 _inst_2 _inst_6 _inst_5 (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, u3, u1, max u1 u3} R R M₂ M (LinearEquiv.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) M₂ M _inst_3 _inst_2 _inst_6 _inst_5) _inst_1 _inst_1 _inst_3 _inst_2 _inst_6 _inst_5 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u3, u1} R R M₂ M _inst_1 _inst_1 _inst_3 _inst_2 _inst_6 _inst_5 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1)))))) (LinearEquiv.symm.{u2, u2, u1, u3} R R M M₂ _inst_1 _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R _inst_1) (RingHomInvPair.ids.{u2} R _inst_1) (AddEquiv.toLinearEquiv.{u2, u1, u3} R M M₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 e h))) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (AddEquiv.{u3, u1} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)))) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M₂) => M) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u1), succ u3, succ u1} (AddEquiv.{u3, u1} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)))) M₂ M (EquivLike.toEmbeddingLike.{max (succ u3) (succ u1), succ u3, succ u1} (AddEquiv.{u3, u1} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)))) M₂ M (AddEquivClass.toEquivLike.{max u3 u1, u3, u1} (AddEquiv.{u3, u1} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)))) M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddEquiv.instAddEquivClassAddEquiv.{u3, u1} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))))))) (AddEquiv.symm.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_3))) e))
 Case conversion may be inaccurate. Consider using '#align add_equiv.coe_to_linear_equiv_symm AddEquiv.coe_toLinearEquiv_symmₓ'. -/
 @[simp]
 theorem coe_toLinearEquiv_symm (h : ∀ (c : R) (x), e (c • x) = c • e x) :

ea94d7cd

bump to nightly-2023-05-08-22

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

63e712c6

Diff

@@ -1388,7 +1388,7 @@ variable (e : M ≃+ M₂)
 lean 3 declaration is
   forall {M : Type.{u1}} {M₂ : Type.{u2}} [_inst_1 : AddCommGroup.{u1} M] [_inst_2 : AddCommGroup.{u2} M₂], (AddEquiv.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (SubNegMonoid.toAddMonoid.{u2} M₂ (AddGroup.toSubNegMonoid.{u2} M₂ (AddCommGroup.toAddGroup.{u2} M₂ _inst_2)))))) -> (LinearEquiv.{0, 0, u1, u2} Int Int Int.semiring Int.semiring (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) M M₂ (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M₂ _inst_2) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₂ _inst_2))
 but is expected to have type
-  forall {M : Type.{u1}} {M₂ : Type.{u2}} [_inst_1 : AddCommGroup.{u1} M] [_inst_2 : AddCommGroup.{u2} M₂], (AddEquiv.{u1, u2} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (SubNegMonoid.toAddMonoid.{u2} M₂ (AddGroup.toSubNegMonoid.{u2} M₂ (AddCommGroup.toAddGroup.{u2} M₂ _inst_2)))))) -> (LinearEquiv.{0, 0, u1, u2} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M₂ _inst_2) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₂ _inst_2))
+  forall {M : Type.{u1}} {M₂ : Type.{u2}} [_inst_1 : AddCommGroup.{u1} M] [_inst_2 : AddCommGroup.{u2} M₂], (AddEquiv.{u1, u2} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (SubNegMonoid.toAddMonoid.{u2} M₂ (AddGroup.toSubNegMonoid.{u2} M₂ (AddCommGroup.toAddGroup.{u2} M₂ _inst_2)))))) -> (LinearEquiv.{0, 0, u1, u2} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M₂ _inst_2) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₂ _inst_2))
 Case conversion may be inaccurate. Consider using '#align add_equiv.to_int_linear_equiv AddEquiv.toIntLinearEquivₓ'. -/
 /-- An additive equivalence between commutative additive groups is a linear
 equivalence between ℤ-modules -/
@@ -1400,7 +1400,7 @@ def toIntLinearEquiv : M ≃ₗ[ℤ] M₂ :=
 lean 3 declaration is
   forall {M : Type.{u1}} {M₂ : Type.{u2}} [_inst_1 : AddCommGroup.{u1} M] [_inst_2 : AddCommGroup.{u2} M₂] (e : AddEquiv.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (SubNegMonoid.toAddMonoid.{u2} M₂ (AddGroup.toSubNegMonoid.{u2} M₂ (AddCommGroup.toAddGroup.{u2} M₂ _inst_2)))))), Eq.{max (succ u1) (succ u2)} (M -> M₂) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearEquiv.{0, 0, u1, u2} Int Int Int.semiring Int.semiring (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) M M₂ (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M₂ _inst_2) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₂ _inst_2)) (fun (_x : LinearEquiv.{0, 0, u1, u2} Int Int Int.semiring Int.semiring (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) M M₂ (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M₂ _inst_2) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₂ _inst_2)) => M -> M₂) (LinearEquiv.hasCoeToFun.{0, 0, u1, u2} Int Int M M₂ Int.semiring Int.semiring (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M₂ _inst_2) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₂ _inst_2) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring)) (AddEquiv.toIntLinearEquiv.{u1, u2} M M₂ _inst_1 _inst_2 e)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AddEquiv.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (SubNegMonoid.toAddMonoid.{u2} M₂ (AddGroup.toSubNegMonoid.{u2} M₂ (AddCommGroup.toAddGroup.{u2} M₂ _inst_2)))))) (fun (_x : AddEquiv.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (SubNegMonoid.toAddMonoid.{u2} M₂ (AddGroup.toSubNegMonoid.{u2} M₂ (AddCommGroup.toAddGroup.{u2} M₂ _inst_2)))))) => M -> M₂) (AddEquiv.hasCoeToFun.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (SubNegMonoid.toAddMonoid.{u2} M₂ (AddGroup.toSubNegMonoid.{u2} M₂ (AddCommGroup.toAddGroup.{u2} M₂ _inst_2)))))) e)
 but is expected to have type
-  forall {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : AddCommGroup.{u2} M] [_inst_2 : AddCommGroup.{u1} M₂] (e : AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))), Eq.{max (succ u2) (succ u1)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M₂) _x) (SMulHomClass.toFunLike.{max u2 u1, 0, u2, u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int M M₂ (SMulZeroClass.toSMul.{0, u2} Int M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_1))) (DistribSMul.toSMulZeroClass.{0, u2} Int M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_1))) (DistribMulAction.toDistribSMul.{0, u2} Int M (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int Int.instSemiringInt)) (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_1)) (Module.toDistribMulAction.{0, u2} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.intModule.{u2} M _inst_1))))) (SMulZeroClass.toSMul.{0, u1} Int M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2))) (DistribSMul.toSMulZeroClass.{0, u1} Int M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2))) (DistribMulAction.toDistribSMul.{0, u1} Int M₂ (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int Int.instSemiringInt)) (AddCommMonoid.toAddMonoid.{u1} M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2)) (Module.toDistribMulAction.{0, u1} Int M₂ Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u1} M₂ _inst_2))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, 0, u2, u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int M M₂ (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int Int.instSemiringInt)) (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2)) (Module.toDistribMulAction.{0, u2} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.intModule.{u2} M _inst_1)) (Module.toDistribMulAction.{0, u1} Int M₂ Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u1} M₂ _inst_2)) (SemilinearMapClass.distribMulActionHomClass.{0, u2, u1, max u2 u1} Int M M₂ (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (SemilinearEquivClass.instSemilinearMapClass.{0, 0, u2, u1, max u2 u1} Int Int M M₂ (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int.instSemiringInt Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{0, 0, u2, u1} Int Int M M₂ Int.instSemiringInt Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt)))))) (AddEquiv.toIntLinearEquiv.{u2, u1} M M₂ _inst_1 _inst_2 e)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) M M₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) M M₂ (AddEquivClass.toEquivLike.{max u2 u1, u2, u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2))))) (AddEquiv.instAddEquivClassAddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2))))))))) e)
+  forall {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : AddCommGroup.{u2} M] [_inst_2 : AddCommGroup.{u1} M₂] (e : AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))), Eq.{max (succ u2) (succ u1)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M) => M₂) _x) (SMulHomClass.toFunLike.{max u2 u1, 0, u2, u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int M M₂ (SMulZeroClass.toSMul.{0, u2} Int M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_1))) (DistribSMul.toSMulZeroClass.{0, u2} Int M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_1))) (DistribMulAction.toDistribSMul.{0, u2} Int M (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int Int.instSemiringInt)) (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_1)) (Module.toDistribMulAction.{0, u2} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.intModule.{u2} M _inst_1))))) (SMulZeroClass.toSMul.{0, u1} Int M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2))) (DistribSMul.toSMulZeroClass.{0, u1} Int M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2))) (DistribMulAction.toDistribSMul.{0, u1} Int M₂ (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int Int.instSemiringInt)) (AddCommMonoid.toAddMonoid.{u1} M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2)) (Module.toDistribMulAction.{0, u1} Int M₂ Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u1} M₂ _inst_2))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, 0, u2, u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int M M₂ (MonoidWithZero.toMonoid.{0} Int (Semiring.toMonoidWithZero.{0} Int Int.instSemiringInt)) (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2)) (Module.toDistribMulAction.{0, u2} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.intModule.{u2} M _inst_1)) (Module.toDistribMulAction.{0, u1} Int M₂ Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u1} M₂ _inst_2)) (SemilinearMapClass.distribMulActionHomClass.{0, u2, u1, max u2 u1} Int M M₂ (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (SemilinearEquivClass.instSemilinearMapClass.{0, 0, u2, u1, max u2 u1} Int Int M M₂ (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int.instSemiringInt Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{0, 0, u2, u1} Int Int M M₂ Int.instSemiringInt Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt)))))) (AddEquiv.toIntLinearEquiv.{u2, u1} M M₂ _inst_1 _inst_2 e)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) M M₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) M M₂ (AddEquivClass.toEquivLike.{max u2 u1, u2, u1} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2))))) (AddEquiv.instAddEquivClassAddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2))))))))) e)
 Case conversion may be inaccurate. Consider using '#align add_equiv.coe_to_int_linear_equiv AddEquiv.coe_toIntLinearEquivₓ'. -/
 @[simp]
 theorem coe_toIntLinearEquiv : ⇑e.toIntLinearEquiv = e :=
@@ -1411,7 +1411,7 @@ theorem coe_toIntLinearEquiv : ⇑e.toIntLinearEquiv = e :=
 lean 3 declaration is
   forall {M : Type.{u1}} {M₂ : Type.{u2}} [_inst_1 : AddCommGroup.{u1} M] [_inst_2 : AddCommGroup.{u2} M₂] (e : AddEquiv.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (SubNegMonoid.toAddMonoid.{u2} M₂ (AddGroup.toSubNegMonoid.{u2} M₂ (AddCommGroup.toAddGroup.{u2} M₂ _inst_2)))))), Eq.{max (succ u1) (succ u2)} (AddEquiv.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_1)))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ (AddCommGroup.toAddCommMonoid.{u2} M₂ _inst_2))))) (LinearEquiv.toAddEquiv.{0, 0, u1, u2} Int Int Int.semiring Int.semiring (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) M M₂ (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M₂ _inst_2) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₂ _inst_2) (AddEquiv.toIntLinearEquiv.{u1, u2} M M₂ _inst_1 _inst_2 e)) e
 but is expected to have type
-  forall {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : AddCommGroup.{u2} M] [_inst_2 : AddCommGroup.{u1} M₂] (e : AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))), Eq.{max (succ u2) (succ u1)} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) (AddEquivClass.toAddEquiv.{max u2 u1, u2, u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2))))) (SemilinearEquivClass.toAddEquivClass.{max u2 u1, 0, 0, u2, u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{0, 0, u2, u1} Int Int M M₂ Int.instSemiringInt Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt))) (AddEquiv.toIntLinearEquiv.{u2, u1} M M₂ _inst_1 _inst_2 e)) e
+  forall {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : AddCommGroup.{u2} M] [_inst_2 : AddCommGroup.{u1} M₂] (e : AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))), Eq.{max (succ u2) (succ u1)} (AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))) (AddEquivClass.toAddEquiv.{max u2 u1, u2, u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2))))) (SemilinearEquivClass.toAddEquivClass.{max u2 u1, 0, 0, u2, u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{0, 0, u2, u1} Int Int M M₂ Int.instSemiringInt Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt))) (AddEquiv.toIntLinearEquiv.{u2, u1} M M₂ _inst_1 _inst_2 e)) e
 Case conversion may be inaccurate. Consider using '#align add_equiv.to_int_linear_equiv_to_add_equiv AddEquiv.toIntLinearEquiv_toAddEquivₓ'. -/
 @[simp]
 theorem toIntLinearEquiv_toAddEquiv : e.toIntLinearEquiv.toAddEquiv = e :=
@@ -1424,7 +1424,7 @@ theorem toIntLinearEquiv_toAddEquiv : e.toIntLinearEquiv.toAddEquiv = e :=
 lean 3 declaration is
   forall {M : Type.{u1}} {M₂ : Type.{u2}} [_inst_1 : AddCommGroup.{u1} M] [_inst_2 : AddCommGroup.{u2} M₂] (e : LinearEquiv.{0, 0, u1, u2} Int Int Int.semiring Int.semiring (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) M M₂ (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M₂ _inst_2) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₂ _inst_2)), Eq.{max (succ u1) (succ u2)} (LinearEquiv.{0, 0, u1, u2} Int Int Int.semiring Int.semiring (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) M M₂ (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M₂ _inst_2) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₂ _inst_2)) (AddEquiv.toIntLinearEquiv.{u1, u2} M M₂ _inst_1 _inst_2 (LinearEquiv.toAddEquiv.{0, 0, u1, u2} Int Int Int.semiring Int.semiring (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) M M₂ (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M₂ _inst_2) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₂ _inst_2) e)) e
 but is expected to have type
-  forall {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : AddCommGroup.{u2} M] [_inst_2 : AddCommGroup.{u1} M₂] (e : LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)), Eq.{max (succ u2) (succ u1)} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) (AddEquiv.toIntLinearEquiv.{u2, u1} M M₂ _inst_1 _inst_2 (AddEquivClass.toAddEquiv.{max u2 u1, u2, u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2))))) (SemilinearEquivClass.toAddEquivClass.{max u2 u1, 0, 0, u2, u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{0, 0, u2, u1} Int Int M M₂ Int.instSemiringInt Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt))) e)) e
+  forall {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : AddCommGroup.{u2} M] [_inst_2 : AddCommGroup.{u1} M₂] (e : LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)), Eq.{max (succ u2) (succ u1)} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) (AddEquiv.toIntLinearEquiv.{u2, u1} M M₂ _inst_1 _inst_2 (AddEquivClass.toAddEquiv.{max u2 u1, u2, u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2))))) (SemilinearEquivClass.toAddEquivClass.{max u2 u1, 0, 0, u2, u1} (LinearEquiv.{0, 0, u2, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2)) Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₂ (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{0, 0, u2, u1} Int Int M M₂ Int.instSemiringInt Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt))) e)) e
 Case conversion may be inaccurate. Consider using '#align linear_equiv.to_add_equiv_to_int_linear_equiv LinearEquiv.toAddEquiv_toIntLinearEquivₓ'. -/
 @[simp]
 theorem LinearEquiv.toAddEquiv_toIntLinearEquiv (e : M ≃ₗ[ℤ] M₂) :
@@ -1436,7 +1436,7 @@ theorem LinearEquiv.toAddEquiv_toIntLinearEquiv (e : M ≃ₗ[ℤ] M₂) :
 lean 3 declaration is
   forall {M : Type.{u1}} {M₂ : Type.{u2}} [_inst_1 : AddCommGroup.{u1} M] [_inst_2 : AddCommGroup.{u2} M₂] (e : AddEquiv.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (SubNegMonoid.toAddMonoid.{u2} M₂ (AddGroup.toSubNegMonoid.{u2} M₂ (AddCommGroup.toAddGroup.{u2} M₂ _inst_2)))))), Eq.{max (succ u2) (succ u1)} (LinearEquiv.{0, 0, u2, u1} Int Int Int.semiring Int.semiring (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) M₂ M (AddCommGroup.toAddCommMonoid.{u2} M₂ _inst_2) (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₂ _inst_2) (AddCommGroup.intModule.{u1} M _inst_1)) (LinearEquiv.symm.{0, 0, u1, u2} Int Int M M₂ Int.semiring Int.semiring (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M₂ _inst_2) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₂ _inst_2) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) (AddEquiv.toIntLinearEquiv.{u1, u2} M M₂ _inst_1 _inst_2 e)) (AddEquiv.toIntLinearEquiv.{u2, u1} M₂ M _inst_2 _inst_1 (AddEquiv.symm.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (SubNegMonoid.toAddMonoid.{u2} M₂ (AddGroup.toSubNegMonoid.{u2} M₂ (AddCommGroup.toAddGroup.{u2} M₂ _inst_2))))) e))
 but is expected to have type
-  forall {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : AddCommGroup.{u2} M] [_inst_2 : AddCommGroup.{u1} M₂] (e : AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))), Eq.{max (succ u2) (succ u1)} (LinearEquiv.{0, 0, u1, u2} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M₂ M (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1)) (LinearEquiv.symm.{0, 0, u2, u1} Int Int M M₂ Int.instSemiringInt Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (AddEquiv.toIntLinearEquiv.{u2, u1} M M₂ _inst_1 _inst_2 e)) (AddEquiv.toIntLinearEquiv.{u1, u2} M₂ M _inst_2 _inst_1 (AddEquiv.symm.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2))))) e))
+  forall {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : AddCommGroup.{u2} M] [_inst_2 : AddCommGroup.{u1} M₂] (e : AddEquiv.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2)))))), Eq.{max (succ u2) (succ u1)} (LinearEquiv.{0, 0, u1, u2} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M₂ M (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1)) (LinearEquiv.symm.{0, 0, u2, u1} Int Int M M₂ Int.instSemiringInt Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_2) (AddCommGroup.intModule.{u2} M _inst_1) (AddCommGroup.intModule.{u1} M₂ _inst_2) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (AddEquiv.toIntLinearEquiv.{u2, u1} M M₂ _inst_1 _inst_2 e)) (AddEquiv.toIntLinearEquiv.{u1, u2} M₂ M _inst_2 _inst_1 (AddEquiv.symm.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_1))))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (SubNegMonoid.toAddMonoid.{u1} M₂ (AddGroup.toSubNegMonoid.{u1} M₂ (AddCommGroup.toAddGroup.{u1} M₂ _inst_2))))) e))
 Case conversion may be inaccurate. Consider using '#align add_equiv.to_int_linear_equiv_symm AddEquiv.toIntLinearEquiv_symmₓ'. -/
 @[simp]
 theorem toIntLinearEquiv_symm : e.toIntLinearEquiv.symm = e.symm.toIntLinearEquiv :=
@@ -1447,7 +1447,7 @@ theorem toIntLinearEquiv_symm : e.toIntLinearEquiv.symm = e.symm.toIntLinearEqui
 lean 3 declaration is
   forall {M : Type.{u1}} [_inst_1 : AddCommGroup.{u1} M], Eq.{succ u1} (LinearEquiv.{0, 0, u1, u1} Int Int Int.semiring Int.semiring (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u1} M _inst_1)) (AddEquiv.toIntLinearEquiv.{u1, u1} M M _inst_1 _inst_1 (AddEquiv.refl.{u1} M (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))))) (LinearEquiv.refl.{0, u1} Int M Int.semiring (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.intModule.{u1} M _inst_1))
 but is expected to have type
-  forall {M : Type.{u1}} [_inst_1 : AddCommGroup.{u1} M], Eq.{succ u1} (LinearEquiv.{0, 0, u1, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u1} M _inst_1)) (AddEquiv.toIntLinearEquiv.{u1, u1} M M _inst_1 _inst_1 (AddEquiv.refl.{u1} M (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))))) (LinearEquiv.refl.{0, u1} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.intModule.{u1} M _inst_1))
+  forall {M : Type.{u1}} [_inst_1 : AddCommGroup.{u1} M], Eq.{succ u1} (LinearEquiv.{0, 0, u1, u1} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u1} M _inst_1)) (AddEquiv.toIntLinearEquiv.{u1, u1} M M _inst_1 _inst_1 (AddEquiv.refl.{u1} M (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))))) (LinearEquiv.refl.{0, u1} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.intModule.{u1} M _inst_1))
 Case conversion may be inaccurate. Consider using '#align add_equiv.to_int_linear_equiv_refl AddEquiv.toIntLinearEquiv_reflₓ'. -/
 @[simp]
 theorem toIntLinearEquiv_refl : (AddEquiv.refl M).toIntLinearEquiv = LinearEquiv.refl ℤ M :=
@@ -1458,7 +1458,7 @@ theorem toIntLinearEquiv_refl : (AddEquiv.refl M).toIntLinearEquiv = LinearEquiv
 lean 3 declaration is
   forall {M : Type.{u1}} {M₂ : Type.{u2}} {M₃ : Type.{u3}} [_inst_1 : AddCommGroup.{u1} M] [_inst_2 : AddCommGroup.{u2} M₂] [_inst_3 : AddCommGroup.{u3} M₃] (e : AddEquiv.{u1, u2} M M₂ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (SubNegMonoid.toAddMonoid.{u2} M₂ (AddGroup.toSubNegMonoid.{u2} M₂ (AddCommGroup.toAddGroup.{u2} M₂ _inst_2)))))) (e₂ : AddEquiv.{u2, u3} M₂ M₃ (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (SubNegMonoid.toAddMonoid.{u2} M₂ (AddGroup.toSubNegMonoid.{u2} M₂ (AddCommGroup.toAddGroup.{u2} M₂ _inst_2))))) (AddZeroClass.toHasAdd.{u3} M₃ (AddMonoid.toAddZeroClass.{u3} M₃ (SubNegMonoid.toAddMonoid.{u3} M₃ (AddGroup.toSubNegMonoid.{u3} M₃ (AddCommGroup.toAddGroup.{u3} M₃ _inst_3)))))), Eq.{max (succ u1) (succ u3)} (LinearEquiv.{0, 0, u1, u3} Int Int Int.semiring Int.semiring (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) M M₃ (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u3} M₃ _inst_3) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u3} M₃ _inst_3)) (LinearEquiv.trans.{0, 0, 0, u1, u2, u3} Int Int Int M M₂ M₃ Int.semiring Int.semiring Int.semiring (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M₂ _inst_2) (AddCommGroup.toAddCommMonoid.{u3} M₃ _inst_3) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₂ _inst_2) (AddCommGroup.intModule.{u3} M₃ _inst_3) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring)) (RingHomCompTriple.right_ids.{0, 0} Int Int Int.semiring Int.semiring (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring))) (RingHomCompTriple.right_ids.{0, 0} Int Int Int.semiring Int.semiring (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.semiring))) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) (RingHomInvPair.ids.{0} Int Int.semiring) (AddEquiv.toIntLinearEquiv.{u1, u2} M M₂ _inst_1 _inst_2 e) (AddEquiv.toIntLinearEquiv.{u2, u3} M₂ M₃ _inst_2 _inst_3 e₂)) (AddEquiv.toIntLinearEquiv.{u1, u3} M M₃ _inst_1 _inst_3 (AddEquiv.trans.{u1, u2, u3} M M₂ M₃ (AddZeroClass.toHasAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (SubNegMonoid.toAddMonoid.{u2} M₂ (AddGroup.toSubNegMonoid.{u2} M₂ (AddCommGroup.toAddGroup.{u2} M₂ _inst_2))))) (AddZeroClass.toHasAdd.{u3} M₃ (AddMonoid.toAddZeroClass.{u3} M₃ (SubNegMonoid.toAddMonoid.{u3} M₃ (AddGroup.toSubNegMonoid.{u3} M₃ (AddCommGroup.toAddGroup.{u3} M₃ _inst_3))))) e e₂))
 but is expected to have type
-  forall {M : Type.{u1}} {M₂ : Type.{u3}} {M₃ : Type.{u2}} [_inst_1 : AddCommGroup.{u1} M] [_inst_2 : AddCommGroup.{u3} M₂] [_inst_3 : AddCommGroup.{u2} M₃] (e : AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (SubNegMonoid.toAddMonoid.{u3} M₂ (AddGroup.toSubNegMonoid.{u3} M₂ (AddCommGroup.toAddGroup.{u3} M₂ _inst_2)))))) (e₂ : AddEquiv.{u3, u2} M₂ M₃ (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (SubNegMonoid.toAddMonoid.{u3} M₂ (AddGroup.toSubNegMonoid.{u3} M₂ (AddCommGroup.toAddGroup.{u3} M₂ _inst_2))))) (AddZeroClass.toAdd.{u2} M₃ (AddMonoid.toAddZeroClass.{u2} M₃ (SubNegMonoid.toAddMonoid.{u2} M₃ (AddGroup.toSubNegMonoid.{u2} M₃ (AddCommGroup.toAddGroup.{u2} M₃ _inst_3)))))), Eq.{max (succ u1) (succ u2)} (LinearEquiv.{0, 0, u1, u2} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₃ (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M₃ _inst_3) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₃ _inst_3)) (LinearEquiv.trans.{0, 0, 0, u1, u3, u2} Int Int Int M M₂ M₃ Int.instSemiringInt Int.instSemiringInt Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_2) (AddCommGroup.toAddCommMonoid.{u2} M₃ _inst_3) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u3} M₂ _inst_2) (AddCommGroup.intModule.{u2} M₃ _inst_3) (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt))) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomCompTriple.ids.{0, 0} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (NonAssocRing.toNonAssocSemiring.{0} Int (Ring.toNonAssocRing.{0} Int Int.instRingInt)))) (RingHomCompTriple.ids.{0, 0} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt))) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (AddEquiv.toIntLinearEquiv.{u1, u3} M M₂ _inst_1 _inst_2 e) (AddEquiv.toIntLinearEquiv.{u3, u2} M₂ M₃ _inst_2 _inst_3 e₂)) (AddEquiv.toIntLinearEquiv.{u1, u2} M M₃ _inst_1 _inst_3 (AddEquiv.trans.{u1, u3, u2} M M₂ M₃ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (SubNegMonoid.toAddMonoid.{u3} M₂ (AddGroup.toSubNegMonoid.{u3} M₂ (AddCommGroup.toAddGroup.{u3} M₂ _inst_2))))) (AddZeroClass.toAdd.{u2} M₃ (AddMonoid.toAddZeroClass.{u2} M₃ (SubNegMonoid.toAddMonoid.{u2} M₃ (AddGroup.toSubNegMonoid.{u2} M₃ (AddCommGroup.toAddGroup.{u2} M₃ _inst_3))))) e e₂))
+  forall {M : Type.{u1}} {M₂ : Type.{u3}} {M₃ : Type.{u2}} [_inst_1 : AddCommGroup.{u1} M] [_inst_2 : AddCommGroup.{u3} M₂] [_inst_3 : AddCommGroup.{u2} M₃] (e : AddEquiv.{u1, u3} M M₂ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (SubNegMonoid.toAddMonoid.{u3} M₂ (AddGroup.toSubNegMonoid.{u3} M₂ (AddCommGroup.toAddGroup.{u3} M₂ _inst_2)))))) (e₂ : AddEquiv.{u3, u2} M₂ M₃ (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (SubNegMonoid.toAddMonoid.{u3} M₂ (AddGroup.toSubNegMonoid.{u3} M₂ (AddCommGroup.toAddGroup.{u3} M₂ _inst_2))))) (AddZeroClass.toAdd.{u2} M₃ (AddMonoid.toAddZeroClass.{u2} M₃ (SubNegMonoid.toAddMonoid.{u2} M₃ (AddGroup.toSubNegMonoid.{u2} M₃ (AddCommGroup.toAddGroup.{u2} M₃ _inst_3)))))), Eq.{max (succ u1) (succ u2)} (LinearEquiv.{0, 0, u1, u2} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) M M₃ (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M₃ _inst_3) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u2} M₃ _inst_3)) (LinearEquiv.trans.{0, 0, 0, u1, u3, u2} Int Int Int M M₂ M₃ Int.instSemiringInt Int.instSemiringInt Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_2) (AddCommGroup.toAddCommMonoid.{u2} M₃ _inst_3) (AddCommGroup.intModule.{u1} M _inst_1) (AddCommGroup.intModule.{u3} M₂ _inst_2) (AddCommGroup.intModule.{u2} M₃ _inst_3) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt)) (RingHomCompTriple.ids.{0, 0} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt))) (RingHomCompTriple.ids.{0, 0} Int Int Int.instSemiringInt Int.instSemiringInt (RingHom.id.{0} Int (Semiring.toNonAssocSemiring.{0} Int Int.instSemiringInt))) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (RingHomInvPair.ids.{0} Int Int.instSemiringInt) (AddEquiv.toIntLinearEquiv.{u1, u3} M M₂ _inst_1 _inst_2 e) (AddEquiv.toIntLinearEquiv.{u3, u2} M₂ M₃ _inst_2 _inst_3 e₂)) (AddEquiv.toIntLinearEquiv.{u1, u2} M M₃ _inst_1 _inst_3 (AddEquiv.trans.{u1, u3, u2} M M₂ M₃ (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (SubNegMonoid.toAddMonoid.{u3} M₂ (AddGroup.toSubNegMonoid.{u3} M₂ (AddCommGroup.toAddGroup.{u3} M₂ _inst_2))))) (AddZeroClass.toAdd.{u2} M₃ (AddMonoid.toAddZeroClass.{u2} M₃ (SubNegMonoid.toAddMonoid.{u2} M₃ (AddGroup.toSubNegMonoid.{u2} M₃ (AddCommGroup.toAddGroup.{u2} M₃ _inst_3))))) e e₂))
 Case conversion may be inaccurate. Consider using '#align add_equiv.to_int_linear_equiv_trans AddEquiv.toIntLinearEquiv_transₓ'. -/
 @[simp]
 theorem toIntLinearEquiv_trans (e₂ : M₂ ≃+ M₃) :

ea94d7cd

bump to nightly-2023-03-11-22

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

a8ee822f

Diff

@@ -157,7 +157,7 @@ instance : CoeFun (M ≃ₛₗ[σ] M₂) fun _ => M → M₂ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_3 : AddCommMonoid.{u3} M] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : Module.{u1, u3} R M _inst_1 _inst_3] [_inst_7 : Module.{u2, u4} S M₂ _inst_2 _inst_5] {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} [_inst_8 : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'] [_inst_9 : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u4} M₂ (to_fun (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)))) x y)) (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toHasAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u4} M₂ (to_fun (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{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 _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_3 _inst_6)))) r x)) (SMul.smul.{u2, u4} S M₂ (SMulZeroClass.toHasSmul.{u2, u4} S M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} S M₂ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} S M₂ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} S M₂ _inst_2 _inst_5 _inst_7)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) σ r) (to_fun x))} {left_inv : Function.LeftInverse.{succ u3, succ u4} M M₂ inv_fun to_fun} {right_inv : Function.RightInverse.{succ u3, succ u4} M M₂ inv_fun to_fun}, Eq.{max (succ u3) (succ u4)} (M -> M₂) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 σ σ' _inst_8 _inst_9) (LinearEquiv.mk.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7 to_fun map_add map_smul inv_fun left_inv right_inv)) to_fun
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_3 : AddCommMonoid.{u3} M] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : Module.{u2, u3} R M _inst_1 _inst_3] [_inst_7 : Module.{u1, u4} S M₂ _inst_2 _inst_5] {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} [_inst_8 : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'] [_inst_9 : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u4} M₂ (to_fun (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)))) x y)) (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u4} M₂ (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) (HSMul.hSMul.{u2, u3, u3} R M M (instHSMul.{u2, u3} R M (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (Module.toMulActionWithZero.{u2, u3} R M _inst_1 _inst_3 _inst_6))))) r x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) M₂ M₂ (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) M₂ (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) M₂ (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) _inst_2)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) M₂ (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) _inst_2) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) M₂ _inst_2 _inst_5 _inst_7))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) σ r) (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) x))} {left_inv : Function.LeftInverse.{succ u3, succ u4} M M₂ inv_fun (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (LinearMap.toAddHom.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul)))} {right_inv : Function.RightInverse.{succ u3, succ u4} M M₂ inv_fun (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (LinearMap.toAddHom.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul)))}, Eq.{max (succ u3) (succ u4)} (forall (ᾰ : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 σ σ' _inst_8 _inst_9))))) (LinearEquiv.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul) inv_fun left_inv right_inv)) to_fun
+  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_3 : AddCommMonoid.{u3} M] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : Module.{u2, u3} R M _inst_1 _inst_3] [_inst_7 : Module.{u1, u4} S M₂ _inst_2 _inst_5] {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} [_inst_8 : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'] [_inst_9 : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u4} M₂ (to_fun (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)))) x y)) (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u4} M₂ (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) (HSMul.hSMul.{u2, u3, u3} R M M (instHSMul.{u2, u3} R M (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (Module.toMulActionWithZero.{u2, u3} R M _inst_1 _inst_3 _inst_6))))) r x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) M₂ M₂ (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) M₂ (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) M₂ (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_2)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) M₂ (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) _inst_2) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) r) M₂ _inst_2 _inst_5 _inst_7))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) σ r) (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) x))} {left_inv : Function.LeftInverse.{succ u3, succ u4} M M₂ inv_fun (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (LinearMap.toAddHom.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul)))} {right_inv : Function.RightInverse.{succ u3, succ u4} M M₂ inv_fun (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (LinearMap.toAddHom.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul)))}, Eq.{max (succ u3) (succ u4)} (forall (ᾰ : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 σ σ' _inst_8 _inst_9))))) (LinearEquiv.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul) inv_fun left_inv right_inv)) to_fun
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_mk LinearEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk {to_fun inv_fun map_add map_smul left_inv right_inv} :
@@ -263,7 +263,7 @@ theorem toLinearMap_eq_coe : e.toLinearMap = (e : M →ₛₗ[σ] M₂) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u3) (succ u4)} (M -> M₂) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (LinearEquiv.LinearMap.hasCoe.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂)))) e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u2, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) (LinearEquiv.toLinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ e)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e)
+  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u2, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) (LinearEquiv.toLinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ e)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_coe LinearEquiv.coe_coeₓ'. -/
 @[simp, norm_cast]
 theorem coe_coe : ⇑(e : M →ₛₗ[σ] M₂) = e :=
@@ -274,7 +274,7 @@ theorem coe_coe : ⇑(e : M →ₛₗ[σ] M₂) = e :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u3) (succ u4)} (M -> M₂) (coeFn.{max 1 (max (succ u3) (succ u4)) (succ u4) (succ u3), max (succ u3) (succ u4)} (Equiv.{succ u3, succ u4} M M₂) (fun (_x : Equiv.{succ u3, succ u4} M M₂) => M -> M₂) (Equiv.hasCoeToFun.{succ u3, succ u4} M M₂) (LinearEquiv.toEquiv.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u2, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : M), (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.805 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (Equiv.{succ u4, succ u3} M M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.805 : M) => M₂) _x) (Equiv.instFunLikeEquiv.{succ u4, succ u3} M M₂) (LinearEquiv.toEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ e)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e)
+  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u2, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : M), (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (Equiv.{succ u4, succ u3} M M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : M) => M₂) _x) (Equiv.instFunLikeEquiv.{succ u4, succ u3} M M₂) (LinearEquiv.toEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ e)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_equiv LinearEquiv.coe_toEquivₓ'. -/
 @[simp]
 theorem coe_toEquiv : ⇑e.toEquiv = e :=
@@ -285,7 +285,7 @@ theorem coe_toEquiv : ⇑e.toEquiv = e :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u3) (succ u4)} (M -> M₂) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) (LinearEquiv.toLinearMap.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ e)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u2, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) (LinearEquiv.toLinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ e)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e)
+  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u2, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : M), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ) (LinearEquiv.toLinearMap.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ e)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_to_linear_map LinearEquiv.coe_toLinearMapₓ'. -/
 @[simp]
 theorem coe_toLinearMap : ⇑e.toLinearMap = e :=
@@ -818,7 +818,7 @@ protected theorem map_zero : e 0 = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (c : R) (x : M), Eq.{succ u4} M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_6 module_M)))) c x)) (SMul.smul.{u2, u4} S M₂ (SMulZeroClass.toHasSmul.{u2, u4} S M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SMulWithZero.toSmulZeroClass.{u2, u4} S M₂ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (MulActionWithZero.toSMulWithZero.{u2, u4} S M₂ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (Module.toMulActionWithZero.{u2, u4} S M₂ _inst_2 _inst_8 module_S_M₂)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) σ c) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e x))
 but is expected to have type
-  forall {R : Type.{u3}} {S : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u3} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u3, u2} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u3} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u3} R _inst_1)} {re₁ : RingHomInvPair.{u3, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u3} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (c : R) (x : M), Eq.{succ u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) (HSMul.hSMul.{u3, u2, u2} R M M (instHSMul.{u3, u2} R M (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} 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(SMulWithZero.toSMulZeroClass.{u3, u2} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u2} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (Module.toMulActionWithZero.{u3, u2} R M _inst_1 _inst_6 module_M))))) c x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) _inst_2)) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) _inst_2) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_2 _inst_8 module_S_M₂))))) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) σ c) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u2 u4, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u2 u4, u3, u1, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u1, u2, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e x))
+  forall {R : Type.{u3}} {S : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u3} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u3, u2} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u3} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u3} R _inst_1)} {re₁ : RingHomInvPair.{u3, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u3} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (c : R) (x : M), Eq.{succ u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) (HSMul.hSMul.{u3, u2, u2} R M M (instHSMul.{u3, u2} R M (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u2} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u2} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (Module.toMulActionWithZero.{u3, u2} R M _inst_1 _inst_6 module_M))))) c x)) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u2 u4, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u2 u4, u3, u1, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u1, u2, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e (HSMul.hSMul.{u3, u2, u2} R M M (instHSMul.{u3, u2} R M (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u2} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u2} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (Module.toMulActionWithZero.{u3, u2} R M _inst_1 _inst_6 module_M))))) c x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) _inst_2)) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) _inst_2) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_2 _inst_8 module_S_M₂))))) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) σ c) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u2 u4, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u2 u4, u3, u1, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u1, u2, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e x))
 Case conversion may be inaccurate. Consider using '#align linear_equiv.map_smulₛₗ LinearEquiv.map_smulₛₗₓ'. -/
 -- TODO: `simp` isn't picking up `map_smulₛₗ` for `linear_equiv`s without specifying `map_smulₛₗ f`
 @[simp]
@@ -895,7 +895,7 @@ theorem symm_bijective [Module R M] [Module S M₂] [RingHomInvPair σ' σ] [Rin
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M₂) (y : M₂), Eq.{succ u3} M (f (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toHasAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8)))) x y)) (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6)))) (f x) (f y))) (h₂ : forall (r : S) (x : M₂), Eq.{succ u3} M (f (SMul.smul.{u2, u4} S M₂ (SMulZeroClass.toHasSmul.{u2, u4} S M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SMulWithZero.toSmulZeroClass.{u2, u4} S M₂ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (MulActionWithZero.toSMulWithZero.{u2, u4} S M₂ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (Module.toMulActionWithZero.{u2, u4} S M₂ _inst_2 _inst_8 module_S_M₂)))) r x)) (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_6 module_M)))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (fun (_x : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) => S -> R) (RingHom.hasCoeToFun.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) σ' r) (f x))) (h₃ : Function.LeftInverse.{succ u4, succ u3} M₂ M (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) f) (h₄ : Function.RightInverse.{succ u4, succ u3} M₂ M (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) f), Eq.{max (succ u4) (succ u3)} (LinearEquiv.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M) (LinearEquiv.mk.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M f h₁ h₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) h₃ h₄) (LinearEquiv.symm.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ e)
 but is expected to have type
-  forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u1, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M₂) (y : M₂), Eq.{succ u4} M (f (HAdd.hAdd.{u3, u3, u3} M₂ M₂ M₂ (instHAdd.{u3} M₂ (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)))) x y)) (HAdd.hAdd.{u4, u4, u4} M M M (instHAdd.{u4} M (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6)))) (f x) (f y))) (h₂ : forall (r : S) (x : M₂), Eq.{succ u4} M (AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) (HSMul.hSMul.{u2, u3, u3} S M₂ M₂ (instHSMul.{u2, u3} S M₂ (SMulZeroClass.toSMul.{u2, u3} S M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)) (SMulWithZero.toSMulZeroClass.{u2, u3} S M₂ (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)) (MulActionWithZero.toSMulWithZero.{u2, u3} S M₂ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)) (Module.toMulActionWithZero.{u2, u3} S M₂ _inst_2 _inst_8 module_S_M₂))))) r x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) M M (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) M (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) M (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) M (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) _inst_1) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6)) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) M _inst_1 _inst_6 module_M))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S R (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (RingHom.instRingHomClassRingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) σ' r) (AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ 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_inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u1, u2, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (LinearMap.toAddHom.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) h₂)))), Eq.{max (succ u4) (succ u3)} (LinearEquiv.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M) (LinearEquiv.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) h₂) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (e : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) e) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u1, u2, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₃ h₄) (LinearEquiv.symm.{u1, u2, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ e)
+  forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u1, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M₂) (y : M₂), Eq.{succ u4} M (f (HAdd.hAdd.{u3, u3, u3} M₂ M₂ M₂ (instHAdd.{u3} M₂ (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)))) x y)) (HAdd.hAdd.{u4, u4, u4} M M M (instHAdd.{u4} M (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6)))) (f x) (f y))) (h₂ : forall (r : S) (x : M₂), Eq.{succ u4} M (AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) (HSMul.hSMul.{u2, u3, u3} S M₂ M₂ (instHSMul.{u2, u3} S M₂ (SMulZeroClass.toSMul.{u2, u3} S M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)) (SMulWithZero.toSMulZeroClass.{u2, u3} S M₂ (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)) (MulActionWithZero.toSMulWithZero.{u2, u3} S M₂ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)) (Module.toMulActionWithZero.{u2, u3} S M₂ _inst_2 _inst_8 module_S_M₂))))) r x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) r) M M (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) r) M (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) r) M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) r) M (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) r) _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) r) M (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) r) _inst_1) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6)) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) r) M _inst_1 _inst_6 module_M))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S R (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (RingHom.instRingHomClassRingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) σ' r) (AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) x))) (h₃ : Function.LeftInverse.{succ u3, succ u4} M₂ M (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (e : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) e) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u1, u2, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (LinearMap.toAddHom.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) h₂)))) (h₄ : Function.RightInverse.{succ u3, succ u4} M₂ M (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (e : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) e) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u1, u2, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (LinearMap.toAddHom.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) h₂)))), Eq.{max (succ u4) (succ u3)} (LinearEquiv.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M) (LinearEquiv.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) h₂) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (e : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) e) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u1, u2, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₃ h₄) (LinearEquiv.symm.{u1, u2, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ e)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.mk_coe' LinearEquiv.mk_coe'ₓ'. -/
 @[simp]
 theorem mk_coe' (f h₁ h₂ h₃ h₄) : (LinearEquiv.mk f h₁ h₂ (⇑e) h₃ h₄ : M₂ ≃ₛₗ[σ'] M) = e.symm :=
@@ -906,7 +906,7 @@ theorem mk_coe' (f h₁ h₂ h₃ h₄) : (LinearEquiv.mk f h₁ h₂ (⇑e) h
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M) (y : M), Eq.{succ u4} M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6)))) x y)) (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toHasAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e x) (coeFn.{max (succ u3) 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(AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_6 module_M)))) r x)) (SMul.smul.{u2, u4} S M₂ (SMulZeroClass.toHasSmul.{u2, u4} S M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SMulWithZero.toSmulZeroClass.{u2, u4} S M₂ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (MulActionWithZero.toSMulWithZero.{u2, u4} S M₂ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (Module.toMulActionWithZero.{u2, u4} S M₂ _inst_2 _inst_8 module_S_M₂)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) σ r) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e x))) (h₃ : Function.LeftInverse.{succ u3, succ u4} M M₂ f (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e)) (h₄ : Function.RightInverse.{succ u3, succ u4} M M₂ f (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e)), Eq.{max (succ u4) (succ u3)} (LinearEquiv.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M) (LinearEquiv.symm.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) h₁ h₂ f h₃ h₄)) (LinearEquiv.mk.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M f (LinearEquiv.map_add'.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.symm.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) h₁ h₂ f h₃ h₄))) (LinearEquiv.map_smul'.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.symm.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) h₁ h₂ f h₃ h₄))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) (LinearEquiv.left_inv.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.symm.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) h₁ h₂ f h₃ h₄))) (LinearEquiv.right_inv.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.symm.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) h₁ h₂ f h₃ h₄))))
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u2, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M) (y : M), Eq.{succ u4} M₂ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ 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module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄)) (let src._@.Mathlib.Algebra.Module.Equiv._hyg.19333 : LinearEquiv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M := LinearEquiv.symm.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄); LinearEquiv.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) f (AddHom.map_add'.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (LinearMap.toAddHom.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19333)))) (LinearMap.map_smul'.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19333))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (LinearEquiv.left_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19333) (LinearEquiv.right_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19333))
+  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u2, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M) (y : M), Eq.{succ u4} M₂ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6)))) x y)) (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ 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σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e y))) (h₂ : forall (r : R) (x : M), Eq.{succ u4} M₂ (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun 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(AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄); LinearEquiv.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) f (AddHom.map_add'.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (LinearMap.toAddHom.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19408)))) (LinearMap.map_smul'.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19408))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (LinearEquiv.left_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19408) (LinearEquiv.right_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19408))
 Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_mk LinearEquiv.symm_mkₓ'. -/
 @[simp]
 theorem symm_mk (f h₁ h₂ h₃ h₄) :
@@ -923,7 +923,7 @@ theorem symm_mk (f h₁ h₂ h₃ h₄) :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u3} M₂] [_inst_19 : Module.{u1, u2} R M _inst_1 _inst_6] [_inst_20 : Module.{u1, u3} R M₂ _inst_1 _inst_8] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u3} M₂ (to_fun (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)))) x y)) (HAdd.hAdd.{u3, u3, u3} M₂ M₂ M₂ (instHAdd.{u3} M₂ (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u3} M₂ (to_fun (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_6 _inst_19)))) r x)) (SMul.smul.{u1, u3} R M₂ (SMulZeroClass.toHasSmul.{u1, u3} R M₂ (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (Module.toMulActionWithZero.{u1, u3} R M₂ _inst_1 _inst_8 _inst_20)))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) r) (to_fun x))} {left_inv : Function.LeftInverse.{succ u2, succ u3} M M₂ inv_fun to_fun} {right_inv : Function.RightInverse.{succ u2, succ u3} M M₂ inv_fun to_fun}, Eq.{max (succ u3) (succ u2)} (M₂ -> M) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) (fun (_x : LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) => M₂ -> M) (LinearEquiv.hasCoeToFun.{u1, u1, u3, u2} R R M₂ M _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)) (LinearEquiv.symm.{u1, u1, u2, u3} R R M M₂ _inst_1 _inst_1 _inst_6 _inst_8 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.mk.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 to_fun map_add map_smul inv_fun left_inv right_inv))) inv_fun
 but is expected to have type
-  forall {R : Type.{u3}} {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : Semiring.{u3} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u1} M₂] [_inst_19 : Module.{u3, u2} R M _inst_1 _inst_6] [_inst_20 : Module.{u3, u1} R M₂ _inst_1 _inst_8] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u1} M₂ (to_fun (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)))) x y)) (HAdd.hAdd.{u1, u1, u1} M₂ M₂ M₂ (instHAdd.{u1} M₂ (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u1} M₂ (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) (HSMul.hSMul.{u3, u2, u2} R M M (instHSMul.{u3, u2} R M (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u2} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u2} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (Module.toMulActionWithZero.{u3, u2} R M _inst_1 _inst_6 _inst_19))))) r x)) (HSMul.hSMul.{u3, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) M₂ M₂ (instHSMul.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) M₂ (SMulZeroClass.toSMul.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (SMulWithZero.toSMulZeroClass.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) M₂ (MonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) _inst_1)) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (MulActionWithZero.toSMulWithZero.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) M₂ (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) _inst_1) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (Module.toMulActionWithZero.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) M₂ _inst_1 _inst_8 _inst_20))))) (FunLike.coe.{succ u3, succ u3, succ u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1) (RingHom.instRingHomClassRingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) r) (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) x))} {left_inv : Function.LeftInverse.{succ u2, succ u1} M M₂ inv_fun (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (LinearMap.toAddHom.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul)))} {right_inv : Function.RightInverse.{succ u2, succ u1} M M₂ inv_fun (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (LinearMap.toAddHom.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul)))}, Eq.{max (succ u2) (succ u1)} (forall (ᾰ : M₂), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M₂) => M) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 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(Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8) (Module.toDistribMulAction.{u3, u1} R M₂ _inst_1 _inst_8 _inst_20)))) (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribSMul.toSMulZeroClass.{u3, u2} R M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribMulAction.toDistribSMul.{u3, u2} R M (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (Module.toDistribMulAction.{u3, u2} R M _inst_1 _inst_6 _inst_19)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u1, u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) R M₂ M (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (Module.toDistribMulAction.{u3, u1} R M₂ _inst_1 _inst_8 _inst_20) (Module.toDistribMulAction.{u3, u2} R M _inst_1 _inst_6 _inst_19) (SemilinearMapClass.distribMulActionHomClass.{u3, u1, u2, max u2 u1} R M₂ M (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u1, u2, max u2 u1} R R M₂ M (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u1, u2} R R M₂ M _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1)))))) (LinearEquiv.symm.{u3, u3, u2, u1} R R M M₂ _inst_1 _inst_1 _inst_6 _inst_8 _inst_19 _inst_20 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) (LinearEquiv.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul) inv_fun left_inv right_inv))) inv_fun
+  forall {R : Type.{u3}} {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : Semiring.{u3} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u1} M₂] [_inst_19 : Module.{u3, u2} R M _inst_1 _inst_6] [_inst_20 : Module.{u3, u1} R M₂ _inst_1 _inst_8] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u1} M₂ (to_fun (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)))) x y)) (HAdd.hAdd.{u1, u1, u1} M₂ M₂ M₂ (instHAdd.{u1} M₂ (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u1} M₂ (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) 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R) => R) r) M₂ (SMulZeroClass.toSMul.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (SMulWithZero.toSMulZeroClass.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) M₂ (MonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) _inst_1)) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (MulActionWithZero.toSMulWithZero.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) M₂ (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) _inst_1) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (Module.toMulActionWithZero.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) r) M₂ _inst_1 _inst_8 _inst_20))))) (FunLike.coe.{succ u3, succ u3, succ u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1) (RingHom.instRingHomClassRingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) r) (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) x))} {left_inv : 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(AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (LinearMap.toAddHom.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul)))}, Eq.{max (succ u2) (succ u1)} (forall (ᾰ : M₂), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M₂) => M) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M₂) => M) _x) (SMulHomClass.toFunLike.{max u2 u1, u3, u1, u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) R M₂ M (SMulZeroClass.toSMul.{u3, u1} R M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (DistribSMul.toSMulZeroClass.{u3, u1} R M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (DistribMulAction.toDistribSMul.{u3, u1} R M₂ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8) (Module.toDistribMulAction.{u3, u1} R M₂ _inst_1 _inst_8 _inst_20)))) (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribSMul.toSMulZeroClass.{u3, u2} R M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribMulAction.toDistribSMul.{u3, u2} R M (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (Module.toDistribMulAction.{u3, u2} R M _inst_1 _inst_6 _inst_19)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u1, u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) R M₂ M (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (Module.toDistribMulAction.{u3, u1} R M₂ _inst_1 _inst_8 _inst_20) (Module.toDistribMulAction.{u3, u2} R M _inst_1 _inst_6 _inst_19) (SemilinearMapClass.distribMulActionHomClass.{u3, u1, u2, max u2 u1} R M₂ M (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u1, u2, max u2 u1} R R M₂ M (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u1, u2} R R M₂ M _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1)))))) (LinearEquiv.symm.{u3, u3, u2, u1} R R M M₂ _inst_1 _inst_1 _inst_6 _inst_8 _inst_19 _inst_20 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) (LinearEquiv.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul) inv_fun left_inv right_inv))) inv_fun
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_symm_mk LinearEquiv.coe_symm_mkₓ'. -/
 @[simp]
 theorem coe_symm_mk [Module R M] [Module R M₂]
@@ -1009,7 +1009,7 @@ variable [AddCommMonoid M] [AddCommMonoid M₁] [AddCommMonoid M₂]
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] {σ : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {σ' : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} [_inst_9 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u1, u2} R M _inst_1 _inst_6} (f : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M), (Function.Involutive.{succ u2} M (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (fun (_x : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)) -> (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M)
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] {σ : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {σ' : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} [_inst_9 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u1, u2} R M _inst_1 _inst_6} (f : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M), (Function.Involutive.{succ u2} M (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)) -> (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M)
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] {σ : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {σ' : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} [_inst_9 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u1, u2} R M _inst_1 _inst_6} (f : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M), (Function.Involutive.{succ u2} M (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)) -> (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.of_involutive LinearEquiv.ofInvolutiveₓ'. -/
 /-- An involutive linear map is a linear equivalence. -/
 def ofInvolutive {σ σ' : R →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
@@ -1021,7 +1021,7 @@ def ofInvolutive {σ σ' : R →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] {σ : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {σ' : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} [_inst_9 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u1, u1} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u1, u2} R M _inst_1 _inst_6} (f : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (hf : Function.Involutive.{succ u2} M (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (fun (_x : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)), Eq.{succ u2} (M -> M) (coeFn.{succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) (fun (_x : LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) => M -> M) (LinearEquiv.hasCoeToFun.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ σ' _inst_9 _inst_10) (LinearEquiv.ofInvolutive.{u1, u2} R M _inst_1 _inst_6 σ σ' _inst_9 _inst_10 module_M f hf)) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (fun (_x : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_6 : AddCommMonoid.{u1} M] {σ : RingHom.{u2, u2} R R (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {σ' : RingHom.{u2, u2} R R (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} [_inst_9 : RingHomInvPair.{u2, u2} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u2, u2} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u2, u1} R M _inst_1 _inst_6} (f : LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (hf : Function.Involutive.{succ u1} M (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)), Eq.{succ u1} (forall (ᾰ : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) ᾰ) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) _x) (EmbeddingLike.toFunLike.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (EquivLike.toEmbeddingLike.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (AddEquivClass.toEquivLike.{u1, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6))) (SemilinearEquivClass.toAddEquivClass.{u1, u2, u2, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ σ' _inst_9 _inst_10))))) (LinearEquiv.ofInvolutive.{u2, u1} R M _inst_1 _inst_6 σ σ' _inst_9 _inst_10 module_M f hf)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_6 : AddCommMonoid.{u1} M] {σ : RingHom.{u2, u2} R R (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {σ' : RingHom.{u2, u2} R R (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} [_inst_9 : RingHomInvPair.{u2, u2} R R _inst_1 _inst_1 σ σ'] [_inst_10 : RingHomInvPair.{u2, u2} R R _inst_1 _inst_1 σ' σ] {module_M : Module.{u2, u1} R M _inst_1 _inst_6} (f : LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) (hf : Function.Involutive.{succ u1} M (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)), Eq.{succ u1} (forall (ᾰ : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) ᾰ) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M) _x) (EmbeddingLike.toFunLike.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (EquivLike.toEmbeddingLike.{succ u1, succ u1, succ u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (AddEquivClass.toEquivLike.{u1, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) M M (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_6))) (SemilinearEquivClass.toAddEquivClass.{u1, u2, u2, u1, u1} (LinearEquiv.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M) R R _inst_1 _inst_1 σ σ' _inst_9 _inst_10 M M _inst_6 _inst_6 module_M module_M (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ σ' _inst_9 _inst_10))))) (LinearEquiv.ofInvolutive.{u2, u1} R M _inst_1 _inst_6 σ σ' _inst_9 _inst_10 module_M f hf)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R R _inst_1 _inst_1 σ M M _inst_6 _inst_6 module_M module_M) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R R M M _inst_1 _inst_1 _inst_6 _inst_6 module_M module_M σ) f)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_of_involutive LinearEquiv.coe_ofInvolutiveₓ'. -/
 @[simp]
 theorem coe_ofInvolutive {σ σ' : R →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]

ea94d7cd

bump to nightly-2023-03-08-18

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

10f15343

Diff

@@ -157,7 +157,7 @@ instance : CoeFun (M ≃ₛₗ[σ] M₂) fun _ => M → M₂ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_3 : AddCommMonoid.{u3} M] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : Module.{u1, u3} R M _inst_1 _inst_3] [_inst_7 : Module.{u2, u4} S M₂ _inst_2 _inst_5] {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} [_inst_8 : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'] [_inst_9 : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u4} M₂ (to_fun (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)))) x y)) (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toHasAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u4} M₂ (to_fun (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{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 _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_3 _inst_6)))) r x)) (SMul.smul.{u2, u4} S M₂ (SMulZeroClass.toHasSmul.{u2, u4} S M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} S M₂ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} S M₂ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} S M₂ _inst_2 _inst_5 _inst_7)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) σ r) (to_fun x))} {left_inv : Function.LeftInverse.{succ u3, succ u4} M M₂ inv_fun to_fun} {right_inv : Function.RightInverse.{succ u3, succ u4} M M₂ inv_fun to_fun}, Eq.{max (succ u3) (succ u4)} (M -> M₂) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 σ σ' _inst_8 _inst_9) (LinearEquiv.mk.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7 to_fun map_add map_smul inv_fun left_inv right_inv)) to_fun
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_3 : AddCommMonoid.{u3} M] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : Module.{u2, u3} R M _inst_1 _inst_3] [_inst_7 : Module.{u1, u4} S M₂ _inst_2 _inst_5] {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} [_inst_8 : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'] [_inst_9 : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u4} M₂ (to_fun (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)))) x y)) (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u4} M₂ (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) (HSMul.hSMul.{u2, u3, u3} R M M (instHSMul.{u2, u3} R M (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (Module.toMulActionWithZero.{u2, u3} R M _inst_1 _inst_3 _inst_6))))) r x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) r) M₂ M₂ (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) r) M₂ (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) r) M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) r) M₂ (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) r) _inst_2)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) r) M₂ (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) r) _inst_2) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) r) M₂ _inst_2 _inst_5 _inst_7))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) σ r) (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) x))} {left_inv : Function.LeftInverse.{succ u3, succ u4} M M₂ inv_fun (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (LinearMap.toAddHom.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul)))} {right_inv : Function.RightInverse.{succ u3, succ u4} M M₂ inv_fun (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (LinearMap.toAddHom.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul)))}, Eq.{max (succ u3) (succ u4)} (forall (ᾰ : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 σ σ' _inst_8 _inst_9))))) (LinearEquiv.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul) inv_fun left_inv right_inv)) to_fun
+  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_3 : AddCommMonoid.{u3} M] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : Module.{u2, u3} R M _inst_1 _inst_3] [_inst_7 : Module.{u1, u4} S M₂ _inst_2 _inst_5] {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} [_inst_8 : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'] [_inst_9 : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u4} M₂ (to_fun (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)))) x y)) (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u4} M₂ (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) (HSMul.hSMul.{u2, u3, u3} R M M (instHSMul.{u2, u3} R M (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3)) (Module.toMulActionWithZero.{u2, u3} R M _inst_1 _inst_3 _inst_6))))) r x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) M₂ M₂ (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) M₂ (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) M₂ (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) _inst_2)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) M₂ (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) _inst_2) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5)) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) r) M₂ _inst_2 _inst_5 _inst_7))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) σ r) (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) x))} {left_inv : Function.LeftInverse.{succ u3, succ u4} M M₂ inv_fun (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (LinearMap.toAddHom.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul)))} {right_inv : Function.RightInverse.{succ u3, succ u4} M M₂ inv_fun (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (LinearMap.toAddHom.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul)))}, Eq.{max (succ u3) (succ u4)} (forall (ᾰ : M), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) ᾰ) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7) R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 σ σ' _inst_8 _inst_9))))) (LinearEquiv.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' _inst_8 _inst_9 M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_3 _inst_5 _inst_6 _inst_7 (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_3))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) to_fun map_add) map_smul) inv_fun left_inv right_inv)) to_fun
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_mk LinearEquiv.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk {to_fun inv_fun map_add map_smul left_inv right_inv} :
@@ -818,7 +818,7 @@ protected theorem map_zero : e 0 = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (c : R) (x : M), Eq.{succ u4} M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_6 module_M)))) c x)) (SMul.smul.{u2, u4} S M₂ (SMulZeroClass.toHasSmul.{u2, u4} S M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SMulWithZero.toSmulZeroClass.{u2, u4} S M₂ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (MulActionWithZero.toSMulWithZero.{u2, u4} S M₂ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (Module.toMulActionWithZero.{u2, u4} S M₂ _inst_2 _inst_8 module_S_M₂)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) σ c) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e x))
 but is expected to have type
-  forall {R : Type.{u3}} {S : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u3} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u3, u2} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u3} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u3} R _inst_1)} {re₁ : RingHomInvPair.{u3, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u3} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (c : R) (x : M), Eq.{succ u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) (HSMul.hSMul.{u3, u2, u2} R M M (instHSMul.{u3, u2} R M (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u2} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u2} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (Module.toMulActionWithZero.{u3, u2} R M _inst_1 _inst_6 module_M))))) c x)) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u2 u4, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u2 u4, u3, u1, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u1, u2, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e (HSMul.hSMul.{u3, u2, u2} R M M (instHSMul.{u3, u2} R M (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u2} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u2} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (Module.toMulActionWithZero.{u3, u2} R M _inst_1 _inst_6 module_M))))) c x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) _inst_2)) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) _inst_2) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_2 _inst_8 module_S_M₂))))) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) σ c) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u2 u4, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u2 u4, u3, u1, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u1, u2, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e x))
+  forall {R : Type.{u3}} {S : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u3} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u3, u2} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u3} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u3} R _inst_1)} {re₁ : RingHomInvPair.{u3, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u3} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (c : R) (x : M), Eq.{succ u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) (HSMul.hSMul.{u3, u2, u2} R M M (instHSMul.{u3, u2} R M (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u2} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u2} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (Module.toMulActionWithZero.{u3, u2} R M _inst_1 _inst_6 module_M))))) c x)) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u2 u4, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u2 u4, u3, u1, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u1, u2, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e (HSMul.hSMul.{u3, u2, u2} R M M (instHSMul.{u3, u2} R M (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u2} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u2} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (Module.toMulActionWithZero.{u3, u2} R M _inst_1 _inst_6 module_M))))) c x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) _inst_2)) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) _inst_2) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_8)) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) x) _inst_2 _inst_8 module_S_M₂))))) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u3, u1} R S (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) σ c) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u2) (succ u4), succ u2, succ u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u2 u4, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u2 u4, u3, u1, u2, u4} (LinearEquiv.{u3, u1, u2, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u1, u2, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e x))
 Case conversion may be inaccurate. Consider using '#align linear_equiv.map_smulₛₗ LinearEquiv.map_smulₛₗₓ'. -/
 -- TODO: `simp` isn't picking up `map_smulₛₗ` for `linear_equiv`s without specifying `map_smulₛₗ f`
 @[simp]
@@ -895,7 +895,7 @@ theorem symm_bijective [Module R M] [Module S M₂] [RingHomInvPair σ' σ] [Rin
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M₂) (y : M₂), Eq.{succ u3} M (f (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toHasAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8)))) x y)) (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6)))) (f x) (f y))) (h₂ : forall (r : S) (x : M₂), Eq.{succ u3} M (f (SMul.smul.{u2, u4} S M₂ (SMulZeroClass.toHasSmul.{u2, u4} S M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SMulWithZero.toSmulZeroClass.{u2, u4} S M₂ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (MulActionWithZero.toSMulWithZero.{u2, u4} S M₂ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (Module.toMulActionWithZero.{u2, u4} S M₂ _inst_2 _inst_8 module_S_M₂)))) r x)) (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_6 module_M)))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (fun (_x : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) => S -> R) (RingHom.hasCoeToFun.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) σ' r) (f x))) (h₃ : Function.LeftInverse.{succ u4, succ u3} M₂ M (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) f) (h₄ : Function.RightInverse.{succ u4, succ u3} M₂ M (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) f), Eq.{max (succ u4) (succ u3)} (LinearEquiv.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M) (LinearEquiv.mk.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M f h₁ h₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) h₃ h₄) (LinearEquiv.symm.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ e)
 but is expected to have type
-  forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u1, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M₂) (y : M₂), Eq.{succ u4} M (f (HAdd.hAdd.{u3, u3, u3} M₂ M₂ M₂ (instHAdd.{u3} M₂ (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)))) x y)) (HAdd.hAdd.{u4, u4, u4} M M M (instHAdd.{u4} M (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6)))) (f x) (f y))) (h₂ : forall (r : S) (x : M₂), Eq.{succ u4} M (AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) (HSMul.hSMul.{u2, u3, u3} S M₂ M₂ (instHSMul.{u2, u3} S M₂ (SMulZeroClass.toSMul.{u2, u3} S M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)) (SMulWithZero.toSMulZeroClass.{u2, u3} S M₂ (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)) (MulActionWithZero.toSMulWithZero.{u2, u3} S M₂ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)) (Module.toMulActionWithZero.{u2, u3} S M₂ _inst_2 _inst_8 module_S_M₂))))) r x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) r) M M (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) r) M (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) r) M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) r) M (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) r) _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) r) M (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) r) _inst_1) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6)) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) r) M _inst_1 _inst_6 module_M))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S R (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (RingHom.instRingHomClassRingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) σ' r) (AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ 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_inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u1, u2, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (LinearMap.toAddHom.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) h₂)))), Eq.{max (succ u4) (succ u3)} (LinearEquiv.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M) (LinearEquiv.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) h₂) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (e : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) e) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u1, u2, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₃ h₄) (LinearEquiv.symm.{u1, u2, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ e)
+  forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u4}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u4} M] [_inst_8 : AddCommMonoid.{u3} M₂] {module_M : Module.{u1, u4} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u3} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M₂) (y : M₂), Eq.{succ u4} M (f (HAdd.hAdd.{u3, u3, u3} M₂ M₂ M₂ (instHAdd.{u3} M₂ (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)))) x y)) (HAdd.hAdd.{u4, u4, u4} M M M (instHAdd.{u4} M (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6)))) (f x) (f y))) (h₂ : forall (r : S) (x : M₂), Eq.{succ u4} M (AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) (HSMul.hSMul.{u2, u3, u3} S M₂ M₂ (instHSMul.{u2, u3} S M₂ (SMulZeroClass.toSMul.{u2, u3} S M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)) (SMulWithZero.toSMulZeroClass.{u2, u3} S M₂ (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)) (MulActionWithZero.toSMulWithZero.{u2, u3} S M₂ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)) (Module.toMulActionWithZero.{u2, u3} S M₂ _inst_2 _inst_8 module_S_M₂))))) r x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) M M (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) M (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) M (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) M (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) _inst_1) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6)) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) r) M _inst_1 _inst_6 module_M))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S R (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (RingHom.instRingHomClassRingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) σ' r) (AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) x))) (h₃ : Function.LeftInverse.{succ u3, succ u4} M₂ M (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (e : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) e) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u1, u2, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (LinearMap.toAddHom.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) h₂)))) (h₄ : Function.RightInverse.{succ u3, succ u4} M₂ M (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (e : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) e) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u1, u2, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (AddHom.toFun.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (LinearMap.toAddHom.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) h₂)))), Eq.{max (succ u4) (succ u3)} (LinearEquiv.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M) (LinearEquiv.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u2, u1, u3, u4} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u3, u4} M₂ M (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) f h₁) h₂) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (e : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) e) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u4 u3, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_6))) (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u4 u3, u1, u2, u4, u3} (LinearEquiv.{u1, u2, u4, u3} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₃ h₄) (LinearEquiv.symm.{u1, u2, u4, u3} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ e)
 Case conversion may be inaccurate. Consider using '#align linear_equiv.mk_coe' LinearEquiv.mk_coe'ₓ'. -/
 @[simp]
 theorem mk_coe' (f h₁ h₂ h₃ h₄) : (LinearEquiv.mk f h₁ h₂ (⇑e) h₃ h₄ : M₂ ≃ₛₗ[σ'] M) = e.symm :=
@@ -906,7 +906,7 @@ theorem mk_coe' (f h₁ h₂ h₃ h₄) : (LinearEquiv.mk f h₁ h₂ (⇑e) h
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M) (y : M), Eq.{succ u4} M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6)))) x y)) (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toHasAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e x) (coeFn.{max (succ u3) 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(AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_6 module_M)))) r x)) (SMul.smul.{u2, u4} S M₂ (SMulZeroClass.toHasSmul.{u2, u4} S M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SMulWithZero.toSmulZeroClass.{u2, u4} S M₂ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (MulActionWithZero.toSMulWithZero.{u2, u4} S M₂ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (Module.toMulActionWithZero.{u2, u4} S M₂ _inst_2 _inst_8 module_S_M₂)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) σ r) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e x))) (h₃ : Function.LeftInverse.{succ u3, succ u4} M M₂ f (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e)) (h₄ : Function.RightInverse.{succ u3, succ u4} M M₂ f (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e)), Eq.{max (succ u4) (succ u3)} (LinearEquiv.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M) (LinearEquiv.symm.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) h₁ h₂ f h₃ h₄)) (LinearEquiv.mk.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M f (LinearEquiv.map_add'.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.symm.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) h₁ h₂ f h₃ h₄))) (LinearEquiv.map_smul'.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.symm.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) h₁ h₂ f h₃ h₄))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) (LinearEquiv.left_inv.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.symm.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) h₁ h₂ f h₃ h₄))) (LinearEquiv.right_inv.{u2, u1, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.symm.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e) h₁ h₂ f h₃ h₄))))
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u2, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M) (y : M), Eq.{succ u4} M₂ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ 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module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄)) (let src._@.Mathlib.Algebra.Module.Equiv._hyg.19333 : LinearEquiv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M := LinearEquiv.symm.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄); LinearEquiv.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) f (AddHom.map_add'.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (LinearMap.toAddHom.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19333)))) (LinearMap.map_smul'.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19333))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (LinearEquiv.left_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19333) (LinearEquiv.right_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19333))
+  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u2, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M) (y : M), Eq.{succ u4} M₂ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6)))) x y)) (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ 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σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e y))) (h₂ : forall (r : R) (x : M), Eq.{succ u4} M₂ (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun 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(AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄); LinearEquiv.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) f (AddHom.map_add'.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (LinearMap.toAddHom.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19333)))) (LinearMap.map_smul'.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19333))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (LinearEquiv.left_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19333) (LinearEquiv.right_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19333))
 Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_mk LinearEquiv.symm_mkₓ'. -/
 @[simp]
 theorem symm_mk (f h₁ h₂ h₃ h₄) :
@@ -923,7 +923,7 @@ theorem symm_mk (f h₁ h₂ h₃ h₄) :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u3} M₂] [_inst_19 : Module.{u1, u2} R M _inst_1 _inst_6] [_inst_20 : Module.{u1, u3} R M₂ _inst_1 _inst_8] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u3} M₂ (to_fun (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)))) x y)) (HAdd.hAdd.{u3, u3, u3} M₂ M₂ M₂ (instHAdd.{u3} M₂ (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u3} M₂ (to_fun (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_6 _inst_19)))) r x)) (SMul.smul.{u1, u3} R M₂ (SMulZeroClass.toHasSmul.{u1, u3} R M₂ (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_8))) (Module.toMulActionWithZero.{u1, u3} R M₂ _inst_1 _inst_8 _inst_20)))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) r) (to_fun x))} {left_inv : Function.LeftInverse.{succ u2, succ u3} M M₂ inv_fun to_fun} {right_inv : Function.RightInverse.{succ u2, succ u3} M M₂ inv_fun to_fun}, Eq.{max (succ u3) (succ u2)} (M₂ -> M) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) (fun (_x : LinearEquiv.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) => M₂ -> M) (LinearEquiv.hasCoeToFun.{u1, u1, u3, u2} R R M₂ M _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)) (LinearEquiv.symm.{u1, u1, u2, u3} R R M M₂ _inst_1 _inst_1 _inst_6 _inst_8 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.mk.{u1, u1, u2, u3} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 to_fun map_add map_smul inv_fun left_inv right_inv))) inv_fun
 but is expected to have type
-  forall {R : Type.{u3}} {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : Semiring.{u3} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u1} M₂] [_inst_19 : Module.{u3, u2} R M _inst_1 _inst_6] [_inst_20 : Module.{u3, u1} R M₂ _inst_1 _inst_8] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u1} M₂ (to_fun (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)))) x y)) (HAdd.hAdd.{u1, u1, u1} M₂ M₂ M₂ (instHAdd.{u1} M₂ (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u1} M₂ (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) (HSMul.hSMul.{u3, u2, u2} R M M (instHSMul.{u3, u2} R M (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u2} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u2} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (Module.toMulActionWithZero.{u3, u2} R M _inst_1 _inst_6 _inst_19))))) r x)) (HSMul.hSMul.{u3, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) M₂ M₂ (instHSMul.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) M₂ (SMulZeroClass.toSMul.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (SMulWithZero.toSMulZeroClass.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) M₂ (MonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) _inst_1)) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (MulActionWithZero.toSMulWithZero.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) M₂ (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) _inst_1) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (Module.toMulActionWithZero.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) r) M₂ _inst_1 _inst_8 _inst_20))))) (FunLike.coe.{succ u3, succ u3, succ u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) _x) (MulHomClass.toFunLike.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1) (RingHom.instRingHomClassRingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) r) (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) x))} {left_inv : Function.LeftInverse.{succ u2, succ u1} M M₂ inv_fun (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (LinearMap.toAddHom.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul)))} {right_inv : Function.RightInverse.{succ u2, succ u1} M M₂ inv_fun (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (LinearMap.toAddHom.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul)))}, Eq.{max (succ u2) (succ u1)} (forall (ᾰ : M₂), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M₂) => M) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 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(Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8) (Module.toDistribMulAction.{u3, u1} R M₂ _inst_1 _inst_8 _inst_20)))) (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribSMul.toSMulZeroClass.{u3, u2} R M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribMulAction.toDistribSMul.{u3, u2} R M (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (Module.toDistribMulAction.{u3, u2} R M _inst_1 _inst_6 _inst_19)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u1, u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) R M₂ M (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (Module.toDistribMulAction.{u3, u1} R M₂ _inst_1 _inst_8 _inst_20) (Module.toDistribMulAction.{u3, u2} R M _inst_1 _inst_6 _inst_19) (SemilinearMapClass.distribMulActionHomClass.{u3, u1, u2, max u2 u1} R M₂ M (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u1, u2, max u2 u1} R R M₂ M (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u1, u2} R R M₂ M _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1)))))) (LinearEquiv.symm.{u3, u3, u2, u1} R R M M₂ _inst_1 _inst_1 _inst_6 _inst_8 _inst_19 _inst_20 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) (LinearEquiv.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul) inv_fun left_inv right_inv))) inv_fun
+  forall {R : Type.{u3}} {M : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : Semiring.{u3} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_8 : AddCommMonoid.{u1} M₂] [_inst_19 : Module.{u3, u2} R M _inst_1 _inst_6] [_inst_20 : Module.{u3, u1} R M₂ _inst_1 _inst_8] {to_fun : M -> M₂} {inv_fun : M₂ -> M} {map_add : forall (x : M) (y : M), Eq.{succ u1} M₂ (to_fun (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)))) x y)) (HAdd.hAdd.{u1, u1, u1} M₂ M₂ M₂ (instHAdd.{u1} M₂ (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)))) (to_fun x) (to_fun y))} {map_smul : forall (r : R) (x : M), Eq.{succ u1} M₂ (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) 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R) => R) r) M₂ (SMulZeroClass.toSMul.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (SMulWithZero.toSMulZeroClass.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) M₂ (MonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) _inst_1)) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (MulActionWithZero.toSMulWithZero.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) M₂ (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) _inst_1) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8)) (Module.toMulActionWithZero.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) r) M₂ _inst_1 _inst_8 _inst_20))))) (FunLike.coe.{succ u3, succ u3, succ u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u3, u3, u3} (RingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1)) R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1) (RingHom.instRingHomClassRingHom.{u3, u3} R R (Semiring.toNonAssocSemiring.{u3} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R _inst_1))))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) r) (AddHom.toFun.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) x))} {left_inv : 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(AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) (LinearMap.toAddHom.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul)))}, Eq.{max (succ u2) (succ u1)} (forall (ᾰ : M₂), (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : M₂) => M) ᾰ) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 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(Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8) (Module.toDistribMulAction.{u3, u1} R M₂ _inst_1 _inst_8 _inst_20)))) (SMulZeroClass.toSMul.{u3, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribSMul.toSMulZeroClass.{u3, u2} R M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribMulAction.toDistribSMul.{u3, u2} R M (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (Module.toDistribMulAction.{u3, u2} R M _inst_1 _inst_6 _inst_19)))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u3, u1, u2} (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) R M₂ M (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (Module.toDistribMulAction.{u3, u1} R M₂ _inst_1 _inst_8 _inst_20) (Module.toDistribMulAction.{u3, u2} R M _inst_1 _inst_6 _inst_19) (SemilinearMapClass.distribMulActionHomClass.{u3, u1, u2, max u2 u1} R M₂ M (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (SemilinearEquivClass.instSemilinearMapClass.{u3, u3, u1, u2, max u2 u1} R R M₂ M (LinearEquiv.{u3, u3, u1, u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M₂ M _inst_8 _inst_6 _inst_20 _inst_19) _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u3, u1, u2} R R M₂ M _inst_1 _inst_1 _inst_8 _inst_6 _inst_20 _inst_19 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1)))))) (LinearEquiv.symm.{u3, u3, u2, u1} R R M M₂ _inst_1 _inst_1 _inst_6 _inst_8 _inst_19 _inst_20 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) (LinearEquiv.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) (RingHomInvPair.ids.{u3} R _inst_1) (RingHomInvPair.ids.{u3} R _inst_1) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (LinearMap.mk.{u3, u3, u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M M₂ _inst_6 _inst_8 _inst_19 _inst_20 (AddHom.mk.{u2, u1} M M₂ (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (AddZeroClass.toAdd.{u1} M₂ (AddMonoid.toAddZeroClass.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_8))) to_fun map_add) map_smul) inv_fun left_inv right_inv))) inv_fun
 Case conversion may be inaccurate. Consider using '#align linear_equiv.coe_symm_mk LinearEquiv.coe_symm_mkₓ'. -/
 @[simp]
 theorem coe_symm_mk [Module R M] [Module R M₂]

ea94d7cd

bump to nightly-2023-03-01-20

mathlib commit https://github.com/leanprover-community/mathlib/commit/4c586d291f189eecb9d00581aeb3dd998ac34442

20cadee0

Diff

@@ -391,13 +391,13 @@ def symm (e : M ≃ₛₗ[σ] M₂) : M₂ ≃ₛₗ[σ'] M :=
 
 omit module_M module_S_M₂ re₁ re₂
 
-#print LinearEquiv.Simps.symmApply /-
+#print LinearEquiv.Simps.symm_apply /-
 /-- See Note [custom simps projection] -/
-def Simps.symmApply {R : Type _} {S : Type _} [Semiring R] [Semiring S] {σ : R →+* S} {σ' : S →+* R}
-    [RingHomInvPair σ σ'] [RingHomInvPair σ' σ] {M : Type _} {M₂ : Type _} [AddCommMonoid M]
-    [AddCommMonoid M₂] [Module R M] [Module S M₂] (e : M ≃ₛₗ[σ] M₂) : M₂ → M :=
+def Simps.symm_apply {R : Type _} {S : Type _} [Semiring R] [Semiring S] {σ : R →+* S}
+    {σ' : S →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ] {M : Type _} {M₂ : Type _}
+    [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂] (e : M ≃ₛₗ[σ] M₂) : M₂ → M :=
   e.symm
-#align linear_equiv.simps.symm_apply LinearEquiv.Simps.symmApply
+#align linear_equiv.simps.symm_apply LinearEquiv.Simps.symm_apply
 -/
 
 initialize_simps_projections LinearEquiv (toFun → apply, invFun → symm_apply)

ea94d7cd

bump to nightly-2023-03-01-00

mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211

bccc50cf

Diff

@@ -906,7 +906,7 @@ theorem mk_coe' (f h₁ h₂ h₃ h₄) : (LinearEquiv.mk f h₁ h₂ (⇑e) h
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M) (y : M), Eq.{succ u4} M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : 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 but is expected to have type
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_inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) x))) (h₃ : Function.LeftInverse.{succ u3, succ u4} M M₂ f (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (LinearMap.toAddHom.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) 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module_S_M₂ (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄)) (let src._@.Mathlib.Algebra.Module.Equiv._hyg.19332 : LinearEquiv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M := LinearEquiv.symm.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄); LinearEquiv.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) f (AddHom.map_add'.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (LinearMap.toAddHom.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19332)))) (LinearMap.map_smul'.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19332))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (LinearEquiv.left_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19332) (LinearEquiv.right_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19332))
+  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u2, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M) (y : M), Eq.{succ u4} M₂ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ 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(SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂)))) (h₄ : Function.RightInverse.{succ u3, succ u4} M M₂ f (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (LinearMap.toAddHom.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂)))), Eq.{max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M) (LinearEquiv.symm.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄)) (let src._@.Mathlib.Algebra.Module.Equiv._hyg.19333 : LinearEquiv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M := LinearEquiv.symm.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄); LinearEquiv.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) f (AddHom.map_add'.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (LinearMap.toAddHom.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19333)))) (LinearMap.map_smul'.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19333))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (LinearEquiv.left_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19333) (LinearEquiv.right_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19333))
 Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_mk LinearEquiv.symm_mkₓ'. -/
 @[simp]
 theorem symm_mk (f h₁ h₂ h₃ h₄) :

ea94d7cd

bump to nightly-2023-02-28-20

mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211

9e3889e2

Diff

@@ -906,7 +906,7 @@ theorem mk_coe' (f h₁ h₂ h₃ h₄) : (LinearEquiv.mk f h₁ h₂ (⇑e) h
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M) (y : M), Eq.{succ u4} M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6)))) x y)) (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toHasAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e y))) (h₂ : forall (r : R) (x : M), Eq.{succ u4} M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M 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 but is expected to have type
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(AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄); LinearEquiv.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) f (AddHom.map_add'.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (LinearMap.toAddHom.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19189)))) (LinearMap.map_smul'.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19189))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (LinearEquiv.left_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19189) (LinearEquiv.right_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19189))
+  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u2, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M) (y : M), Eq.{succ u4} M₂ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => 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re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6)))) x y)) (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ 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σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ 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(Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) 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re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) x))) (h₃ : Function.LeftInverse.{succ u3, succ u4} M M₂ f (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (LinearMap.toAddHom.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂)))) (h₄ : Function.RightInverse.{succ u3, succ u4} M M₂ f (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (LinearMap.toAddHom.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂)))), Eq.{max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M) (LinearEquiv.symm.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄)) (let src._@.Mathlib.Algebra.Module.Equiv._hyg.19332 : LinearEquiv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M := LinearEquiv.symm.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄); LinearEquiv.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) f (AddHom.map_add'.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (LinearMap.toAddHom.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19332)))) (LinearMap.map_smul'.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19332))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (LinearEquiv.left_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19332) (LinearEquiv.right_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19332))
 Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_mk LinearEquiv.symm_mkₓ'. -/
 @[simp]
 theorem symm_mk (f h₁ h₂ h₃ h₄) :

ea94d7cd

bump to nightly-2023-02-28-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211

ead5cda8

Diff

@@ -5,7 +5,7 @@ Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro, Anne
   Frédéric Dupuis, Heather Macbeth
 
 ! This file was ported from Lean 3 source module algebra.module.equiv
-! leanprover-community/mathlib commit fac369018417f980cec5fcdafc766a69f88d8cfe
+! leanprover-community/mathlib commit ea94d7cd54ad9ca6b7710032868abb7c6a104c9c
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -451,7 +451,8 @@ variable (e₁₂ : M₁ ≃ₛₗ[σ₁₂] M₂) (e₂₃ : M₂ ≃ₛₗ[σ
 include σ₃₁
 
 #print LinearEquiv.trans /-
--- Note: The linter thinks the `ring_hom_comp_triple` argument is doubled -- it is not.
+-- Note: the `ring_hom_comp_triple σ₃₂ σ₂₁ σ₃₁` is unused, but is convenient to carry around
+-- implicitly for lemmas like `linear_equiv.self_trans_symm`.
 /-- Linear equivalences are transitive. -/
 @[trans, nolint unused_arguments]
 def trans : M₁ ≃ₛₗ[σ₁₃] M₃ :=

fac36901

bump to nightly-2023-02-23-14

mathlib commit https://github.com/leanprover-community/mathlib/commit/3ade05ac9447ae31a22d2ea5423435e054131240

5ac40b03

Diff

@@ -1139,25 +1139,25 @@ instance apply_faithfulSMul : FaithfulSMul (M ≃ₗ[R] M) M :=
   ⟨fun _ _ => LinearEquiv.ext⟩
 #align linear_equiv.apply_has_faithful_smul LinearEquiv.apply_faithfulSMul
 
-/- warning: linear_equiv.apply_smul_comm_class -> LinearEquiv.apply_sMulCommClass is a dubious translation:
+/- warning: linear_equiv.apply_smul_comm_class -> LinearEquiv.apply_smulCommClass is a dubious translation:
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_9 : Module.{u1, u2} R M _inst_1 _inst_6], SMulCommClass.{u1, u2, u2} R (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_6 _inst_9)))) (SMulZeroClass.toHasSmul.{u2, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (DistribSMul.toSmulZeroClass.{u2, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribMulAction.toDistribSMul.{u2, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (DivInvMonoid.toMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (Group.toDivInvMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (LinearEquiv.automorphismGroup.{u1, u2} R M _inst_1 _inst_6 _inst_9))) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (LinearEquiv.applyDistribMulAction.{u1, u2} R M _inst_1 _inst_6 _inst_9))))
 but is expected to have type
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_9 : Module.{u1, u2} R M _inst_1 _inst_6], SMulCommClass.{u1, u2, u2} R (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_6 _inst_9)))) (SMulZeroClass.toSMul.{u2, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribSMul.toSMulZeroClass.{u2, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribMulAction.toDistribSMul.{u2, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (DivInvMonoid.toMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (Group.toDivInvMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (LinearEquiv.automorphismGroup.{u1, u2} R M _inst_1 _inst_6 _inst_9))) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (LinearEquiv.applyDistribMulAction.{u1, u2} R M _inst_1 _inst_6 _inst_9))))
-Case conversion may be inaccurate. Consider using '#align linear_equiv.apply_smul_comm_class LinearEquiv.apply_sMulCommClassₓ'. -/
-instance apply_sMulCommClass : SMulCommClass R (M ≃ₗ[R] M) M
+Case conversion may be inaccurate. Consider using '#align linear_equiv.apply_smul_comm_class LinearEquiv.apply_smulCommClassₓ'. -/
+instance apply_smulCommClass : SMulCommClass R (M ≃ₗ[R] M) M
     where smul_comm r e m := (e.map_smul r m).symm
-#align linear_equiv.apply_smul_comm_class LinearEquiv.apply_sMulCommClass
+#align linear_equiv.apply_smul_comm_class LinearEquiv.apply_smulCommClass
 
-/- warning: linear_equiv.apply_smul_comm_class' -> LinearEquiv.apply_sMulCommClass' is a dubious translation:
+/- warning: linear_equiv.apply_smul_comm_class' -> LinearEquiv.apply_smulCommClass' is a dubious translation:
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_9 : Module.{u1, u2} R M _inst_1 _inst_6], SMulCommClass.{u2, u1, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) R M (SMulZeroClass.toHasSmul.{u2, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (DistribSMul.toSmulZeroClass.{u2, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribMulAction.toDistribSMul.{u2, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (DivInvMonoid.toMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (Group.toDivInvMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (LinearEquiv.automorphismGroup.{u1, u2} R M _inst_1 _inst_6 _inst_9))) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (LinearEquiv.applyDistribMulAction.{u1, u2} R M _inst_1 _inst_6 _inst_9)))) (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6))) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_6 _inst_9))))
 but is expected to have type
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_6 : AddCommMonoid.{u2} M] [_inst_9 : Module.{u1, u2} R M _inst_1 _inst_6], SMulCommClass.{u2, u1, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) R M (SMulZeroClass.toSMul.{u2, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribSMul.toSMulZeroClass.{u2, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (DistribMulAction.toDistribSMul.{u2, u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) M (DivInvMonoid.toMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (Group.toDivInvMonoid.{u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) M M _inst_6 _inst_6 _inst_9 _inst_9) (LinearEquiv.automorphismGroup.{u1, u2} R M _inst_1 _inst_6 _inst_9))) (AddCommMonoid.toAddMonoid.{u2} M _inst_6) (LinearEquiv.applyDistribMulAction.{u1, u2} R M _inst_1 _inst_6 _inst_9)))) (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_6)) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_6 _inst_9))))
-Case conversion may be inaccurate. Consider using '#align linear_equiv.apply_smul_comm_class' LinearEquiv.apply_sMulCommClass'ₓ'. -/
-instance apply_sMulCommClass' : SMulCommClass (M ≃ₗ[R] M) R M
+Case conversion may be inaccurate. Consider using '#align linear_equiv.apply_smul_comm_class' LinearEquiv.apply_smulCommClass'ₓ'. -/
+instance apply_smulCommClass' : SMulCommClass (M ≃ₗ[R] M) R M
     where smul_comm := LinearEquiv.map_smul
-#align linear_equiv.apply_smul_comm_class' LinearEquiv.apply_sMulCommClass'
+#align linear_equiv.apply_smul_comm_class' LinearEquiv.apply_smulCommClass'
 
 end Automorphisms

fac36901

bump to nightly-2023-02-21-18

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

06e3e9fb

Diff

@@ -905,7 +905,7 @@ theorem mk_coe' (f h₁ h₂ h₃ h₄) : (LinearEquiv.mk f h₁ h₂ (⇑e) h
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u1, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u2, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} S _inst_2)} {σ' : RingHom.{u2, u1} S R (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)} {re₁ : RingHomInvPair.{u1, u2} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u2, u1} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M) (y : M), Eq.{succ u4} M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6)))) x y)) (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toHasAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8)))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (fun (_x : LinearEquiv.{u1, u2, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) => M -> M₂) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂) e x) (coeFn.{max (succ u3) 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module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄)) (let src._@.Mathlib.Algebra.Module.Equiv._hyg.19178 : LinearEquiv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M := LinearEquiv.symm.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂ (LinearEquiv.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearMap.mk.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄); LinearEquiv.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) f (AddHom.map_add'.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (LinearMap.toAddHom.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19178)))) (LinearMap.map_smul'.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19178))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (LinearEquiv.left_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19178) (LinearEquiv.right_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19178))
+  forall {R : Type.{u2}} {S : Type.{u1}} {M : Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_6 : AddCommMonoid.{u3} M] [_inst_8 : AddCommMonoid.{u4} M₂] {module_M : Module.{u2, u3} R M _inst_1 _inst_6} {module_S_M₂ : Module.{u1, u4} S M₂ _inst_2 _inst_8} {σ : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)} {σ' : RingHom.{u1, u2} S R (Semiring.toNonAssocSemiring.{u1} S _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)} {re₁ : RingHomInvPair.{u2, u1} R S _inst_1 _inst_2 σ σ'} {re₂ : RingHomInvPair.{u1, u2} S R _inst_2 _inst_1 σ' σ} (e : LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) (f : M₂ -> M) (h₁ : forall (x : M) (y : M), Eq.{succ u4} M₂ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6)))) x y)) (HAdd.hAdd.{u4, u4, u4} M₂ M₂ M₂ (instHAdd.{u4} M₂ (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ 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σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (_x : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e y))) (h₂ : forall (r : R) (x : M), Eq.{succ u4} M₂ (AddHom.toFun.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddHom.mk.{u3, u4} M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun 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(AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) h₁) h₂) f h₃ h₄); LinearEquiv.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearMap.mk.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (AddHom.mk.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) f (AddHom.map_add'.{u4, u3} M₂ M (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (LinearMap.toAddHom.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19189)))) (LinearMap.map_smul'.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' M₂ M _inst_8 _inst_6 module_S_M₂ module_M (LinearEquiv.toLinearMap.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19189))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M (fun (a : M) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : M) => M₂) a) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) M M₂ (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_6))) (AddZeroClass.toAdd.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_8))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u3, u4} (LinearEquiv.{u2, u1, u3, u4} R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂) R S _inst_1 _inst_2 σ σ' re₁ re₂ M M₂ _inst_6 _inst_8 module_M module_S_M₂ (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u3, u4} R S M M₂ _inst_1 _inst_2 _inst_6 _inst_8 module_M module_S_M₂ σ σ' re₁ re₂))))) e) (LinearEquiv.left_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19189) (LinearEquiv.right_inv.{u1, u2, u4, u3} S R _inst_2 _inst_1 σ' σ re₂ re₁ M₂ M _inst_8 _inst_6 module_S_M₂ module_M src._@.Mathlib.Algebra.Module.Equiv._hyg.19189))
 Case conversion may be inaccurate. Consider using '#align linear_equiv.symm_mk LinearEquiv.symm_mkₓ'. -/
 @[simp]
 theorem symm_mk (f h₁ h₂ h₃ h₄) :

fac36901

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

ea94d7cd

chore: tidy various files (#12316)

dbc20eec

Diff

@@ -817,9 +817,7 @@ theorem coe_toLinearEquiv_symm (h : ∀ (c : R) (x), e (c • x) = c • e x) :
 /-- An additive equivalence between commutative additive monoids is a linear equivalence between
 ℕ-modules -/
 def toNatLinearEquiv : M ≃ₗ[ℕ] M₂ :=
-  e.toLinearEquiv fun c a => by
-    erw [e.toAddMonoidHom.map_nsmul]
-    rfl
+  e.toLinearEquiv fun c a => by rw [map_nsmul]
 #align add_equiv.to_nat_linear_equiv AddEquiv.toNatLinearEquiv
 
 @[simp]

ea94d7cd

doc: fix many more mathlib3 names in doc comments (#11987)

A mix of various changes; generated with a script and manually tweaked.

2098023c

Diff

@@ -328,7 +328,7 @@ variable [RingHomInvPair σ₁₃ σ₃₁] {re₂₁ : RingHomInvPair σ₂₁
 variable {re₃₂ : RingHomInvPair σ₃₂ σ₂₃} [RingHomInvPair σ₃₁ σ₁₃]
 variable (e₁₂ : M₁ ≃ₛₗ[σ₁₂] M₂) (e₂₃ : M₂ ≃ₛₗ[σ₂₃] M₃)
 
--- Porting note: Lean 4 aggressively removes unused variables declared using `variables`, so
+-- Porting note: Lean 4 aggressively removes unused variables declared using `variable`, so
 -- we have to list all the variables explicitly here in order to match the Lean 3 signature.
 set_option linter.unusedVariables false in
 /-- Linear equivalences are transitive. -/

ea94d7cd

feat(Algebra/Module): Use coercion from SemilinearEquivClass to SemilinearEquiv (#11966)

47626527

Diff

@@ -122,6 +122,19 @@ instance (priority := 100) [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
   [EquivLike F M M₂] [s : SemilinearEquivClass F σ M M₂] : SemilinearMapClass F σ M M₂ :=
   { s with }
 
+variable {F}
+
+/-- Reinterpret an element of a type of semilinear equivalences as a semilinear equivalence. -/
+@[coe]
+def semilinearEquiv [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
+    [EquivLike F M M₂] [SemilinearEquivClass F σ M M₂] (f : F) : M ≃ₛₗ[σ] M₂ :=
+  { (f : M ≃+ M₂), (f : M →ₛₗ[σ] M₂) with }
+
+/-- Reinterpret an element of a type of semilinear equivalences as a semilinear equivalence. -/
+instance instCoeToSemilinearEquiv [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
+    [EquivLike F M M₂] [SemilinearEquivClass F σ M M₂] : CoeHead F (M ≃ₛₗ[σ] M₂) where
+  coe f := semilinearEquiv f
+
 end SemilinearEquivClass
 
 namespace LinearEquiv

ea94d7cd

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

@@ -115,9 +115,7 @@ end
 namespace SemilinearEquivClass
 
 variable (F : Type*) [Semiring R] [Semiring S]
-
 variable [AddCommMonoid M] [AddCommMonoid M₁] [AddCommMonoid M₂]
-
 variable [Module R M] [Module S M₂] {σ : R →+* S} {σ' : S →+* R}
 
 instance (priority := 100) [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
@@ -131,15 +129,12 @@ namespace LinearEquiv
 section AddCommMonoid
 
 variable {M₄ : Type*}
-
 variable [Semiring R] [Semiring S]
 
 section
 
 variable [AddCommMonoid M] [AddCommMonoid M₁] [AddCommMonoid M₂]
-
 variable [Module R M] [Module S M₂] {σ : R →+* S} {σ' : S →+* R}
-
 variable [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
 
 instance : Coe (M ≃ₛₗ[σ] M₂) (M →ₛₗ[σ] M₂) :=
@@ -204,17 +199,11 @@ end
 section
 
 variable [Semiring R₁] [Semiring R₂] [Semiring R₃]
-
 variable [AddCommMonoid M] [AddCommMonoid M₁] [AddCommMonoid M₂]
-
 variable [AddCommMonoid M₃] [AddCommMonoid M₄]
-
 variable [AddCommMonoid N₁] [AddCommMonoid N₂]
-
 variable {module_M : Module R M} {module_S_M₂ : Module S M₂} {σ : R →+* S} {σ' : S →+* R}
-
 variable {re₁ : RingHomInvPair σ σ'} {re₂ : RingHomInvPair σ' σ}
-
 variable (e e' : M ≃ₛₗ[σ] M₂)
 
 @[simp, norm_cast]
@@ -316,23 +305,14 @@ theorem coe_toEquiv_symm : e.toEquiv.symm = e.symm :=
 #align linear_equiv.coe_to_equiv_symm LinearEquiv.coe_toEquiv_symm
 
 variable {module_M₁ : Module R₁ M₁} {module_M₂ : Module R₂ M₂} {module_M₃ : Module R₃ M₃}
-
 variable {module_N₁ : Module R₁ N₁} {module_N₂ : Module R₁ N₂}
-
 variable {σ₁₂ : R₁ →+* R₂} {σ₂₃ : R₂ →+* R₃} {σ₁₃ : R₁ →+* R₃}
-
 variable {σ₂₁ : R₂ →+* R₁} {σ₃₂ : R₃ →+* R₂} {σ₃₁ : R₃ →+* R₁}
-
 variable [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃]
-
 variable [RingHomCompTriple σ₃₂ σ₂₁ σ₃₁]
-
 variable {re₁₂ : RingHomInvPair σ₁₂ σ₂₁} {re₂₃ : RingHomInvPair σ₂₃ σ₃₂}
-
 variable [RingHomInvPair σ₁₃ σ₃₁] {re₂₁ : RingHomInvPair σ₂₁ σ₁₂}
-
 variable {re₃₂ : RingHomInvPair σ₃₂ σ₂₃} [RingHomInvPair σ₃₁ σ₁₃]
-
 variable (e₁₂ : M₁ ≃ₛₗ[σ₁₂] M₂) (e₂₃ : M₂ ≃ₛₗ[σ₂₃] M₃)
 
 -- Porting note: Lean 4 aggressively removes unused variables declared using `variables`, so
@@ -593,7 +573,6 @@ def _root_.RingEquiv.toSemilinearEquiv (f : R ≃+* S) :
 #align ring_equiv.to_semilinear_equiv_symm_apply RingEquiv.toSemilinearEquiv_symm_apply
 
 variable [Semiring R₁] [Semiring R₂] [Semiring R₃]
-
 variable [AddCommMonoid M] [AddCommMonoid M₁] [AddCommMonoid M₂]
 
 /-- An involutive linear map is a linear equivalence. -/
@@ -773,7 +752,6 @@ end Module
 namespace DistribMulAction
 
 variable (R M) [Semiring R] [AddCommMonoid M] [Module R M]
-
 variable [Group S] [DistribMulAction S M] [SMulCommClass S R M]
 
 /-- Each element of the group defines a linear equivalence.
@@ -804,9 +782,7 @@ namespace AddEquiv
 section AddCommMonoid
 
 variable [Semiring R] [AddCommMonoid M] [AddCommMonoid M₂] [AddCommMonoid M₃]
-
 variable [Module R M] [Module R M₂]
-
 variable (e : M ≃+ M₂)
 
 /-- An additive equivalence whose underlying function preserves `smul` is a linear equivalence. -/
@@ -871,7 +847,6 @@ end AddCommMonoid
 section AddCommGroup
 
 variable [AddCommGroup M] [AddCommGroup M₂] [AddCommGroup M₃]
-
 variable (e : M ≃+ M₂)
 
 /-- An additive equivalence between commutative additive groups is a linear

ea94d7cd

chore: classify todo porting notes (#11216)

Classifies by adding issue number #11215 to porting notes claiming "TODO".

86f95a40

Diff

@@ -46,7 +46,7 @@ variable {N₁ : Type*} {N₂ : Type*} {N₃ : Type*} {N₄ : Type*} {ι : Type*
 section
 
 /-- A linear equivalence is an invertible linear map. -/
--- Porting note: TODO @[nolint has_nonempty_instance]
+-- Porting note (#11215): TODO @[nolint has_nonempty_instance]
 structure LinearEquiv {R : Type*} {S : Type*} [Semiring R] [Semiring S] (σ : R →+* S)
   {σ' : S →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ] (M : Type*) (M₂ : Type*)
   [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂] extends LinearMap σ M M₂, M ≃+ M₂
@@ -186,8 +186,8 @@ instance : FunLike (M ≃ₛₗ[σ] M₂) M M₂ where
   coe_injective' := DFunLike.coe_injective
 
 instance : SemilinearEquivClass (M ≃ₛₗ[σ] M₂) σ M M₂ where
-  map_add := (·.map_add') --map_add' Porting note: TODO why did I need to change this?
-  map_smulₛₗ := (·.map_smul') --map_smul' Porting note: TODO why did I need to change this?
+  map_add := (·.map_add') --map_add' Porting note (#11215): TODO why did I need to change this?
+  map_smulₛₗ := (·.map_smul') --map_smul' Porting note (#11215): TODO why did I need to change this?
 
 -- Porting note: moved to a lower line since there is no shortcut `CoeFun` instance any more
 @[simp]

ea94d7cd

style: homogenise porting notes (#11145)

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

converts "--porting note" into "-- Porting note";
converts "porting note" into "Porting note".

8be0b69c

Diff

@@ -46,7 +46,7 @@ variable {N₁ : Type*} {N₂ : Type*} {N₃ : Type*} {N₄ : Type*} {ι : Type*
 section
 
 /-- A linear equivalence is an invertible linear map. -/
---Porting note: TODO @[nolint has_nonempty_instance]
+-- Porting note: TODO @[nolint has_nonempty_instance]
 structure LinearEquiv {R : Type*} {S : Type*} [Semiring R] [Semiring S] (σ : R →+* S)
   {σ' : S →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ] (M : Type*) (M₂ : Type*)
   [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂] extends LinearMap σ M M₂, M ≃+ M₂
@@ -232,7 +232,7 @@ theorem coe_toLinearMap : ⇑e.toLinearMap = e :=
   rfl
 #align linear_equiv.coe_to_linear_map LinearEquiv.coe_toLinearMap
 
--- porting note: no longer a `simp`
+-- Porting note: no longer a `simp`
 theorem toFun_eq_coe : e.toFun = e := rfl
 #align linear_equiv.to_fun_eq_coe LinearEquiv.toFun_eq_coe

ea94d7cd

refactor(Data/FunLike): use unbundled inheritance from FunLike (#8386)

The FunLike hierarchy is very big and gets scanned through each time we need a coercion (via the CoeFun instance). It looks like unbundled inheritance suits Lean 4 better here. The only class that still extends FunLike is EquivLike, since that has a custom coe_injective' field that is easier to implement. All other classes should take FunLike or EquivLike as a parameter.

Zulip thread

Important changes

Previously, morphism classes would be Type-valued and extend FunLike:

/-- `MyHomClass F A B` states that `F` is a type of `MyClass.op`-preserving morphisms.
You should extend this class when you extend `MyHom`. -/
class MyHomClass (F : Type*) (A B : outParam <| Type*) [MyClass A] [MyClass B]
  extends FunLike F A B :=
(map_op : ∀ (f : F) (x y : A), f (MyClass.op x y) = MyClass.op (f x) (f y))

After this PR, they should be Prop-valued and take FunLike as a parameter:

/-- `MyHomClass F A B` states that `F` is a type of `MyClass.op`-preserving morphisms.
You should extend this class when you extend `MyHom`. -/
class MyHomClass (F : Type*) (A B : outParam <| Type*) [MyClass A] [MyClass B]
  [FunLike F A B] : Prop :=
(map_op : ∀ (f : F) (x y : A), f (MyClass.op x y) = MyClass.op (f x) (f y))

(Note that A B stay marked as outParam even though they are not purely required to be so due to the FunLike parameter already filling them in. This is required to see through type synonyms, which is important in the category theory library. Also, I think keeping them as outParam is slightly faster.)

Similarly, MyEquivClass should take EquivLike as a parameter.

As a result, every mention of [MyHomClass F A B] should become [FunLike F A B] [MyHomClass F A B].

Remaining issues

Slower (failing) search

While overall this gives some great speedups, there are some cases that are noticeably slower. In particular, a failing application of a lemma such as map_mul is more expensive. This is due to suboptimal processing of arguments. For example:

variable [FunLike F M N] [Mul M] [Mul N] (f : F) (x : M) (y : M)

theorem map_mul [MulHomClass F M N] : f (x * y) = f x * f y

example [AddHomClass F A B] : f (x * y) = f x * f y := map_mul f _ _

Before this PR, applying map_mul f gives the goals [Mul ?M] [Mul ?N] [MulHomClass F ?M ?N]. Since M and N are out_params, [MulHomClass F ?M ?N] is synthesized first, supplies values for ?M and ?N and then the Mul M and Mul N instances can be found.

After this PR, the goals become [FunLike F ?M ?N] [Mul ?M] [Mul ?N] [MulHomClass F ?M ?N]. Now [FunLike F ?M ?N] is synthesized first, supplies values for ?M and ?N and then the Mul M and Mul N instances can be found, before trying MulHomClass F M N which fails. Since the Mul hierarchy is very big, this can be slow to fail, especially when there is no such Mul instance.

A long-term but harder to achieve solution would be to specify the order in which instance goals get solved. For example, we'd like to change the arguments to map_mul to look like [FunLike F M N] [Mul M] [Mul N] [highPriority <| MulHomClass F M N] because MulHomClass fails or succeeds much faster than the others.

As a consequence, the simpNF linter is much slower since by design it tries and fails to apply many map_ lemmas. The same issue occurs a few times in existing calls to simp [map_mul], where map_mul is tried "too soon" and fails. Thanks to the speedup of leanprover/lean4#2478 the impact is very limited, only in files that already were close to the timeout.

`simp` not firing sometimes

This affects map_smulₛₗ and related definitions. For simp lemmas Lean apparently uses a slightly different mechanism to find instances, so that rw can find every argument to map_smulₛₗ successfully but simp can't: leanprover/lean4#3701.

Missing instances due to unification failing

Especially in the category theory library, we might sometimes have a type A which is also accessible as a synonym (Bundled A hA).1. Instance synthesis doesn't always work if we have f : A →* B but x * y : (Bundled A hA).1 or vice versa. This seems to be mostly fixed by keeping A B as outParams in MulHomClass F A B. (Presumably because Lean will do a definitional check A =?= (Bundled A hA).1 instead of using the syntax in the discrimination tree.)

Workaround for issues

The timeouts can be worked around for now by specifying which map_mul we mean, either as map_mul f for some explicit f, or as e.g. MonoidHomClass.map_mul.

map_smulₛₗ not firing as simp lemma can be worked around by going back to the pre-FunLike situation and making LinearMap.map_smulₛₗ a simp lemma instead of the generic map_smulₛₗ. Writing simp [map_smulₛₗ _] also works.

Co-authored-by: Matthew Ballard <matt@mrb.email> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Scott Morrison <scott@tqft.net> Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

c6a73d4f

Diff

@@ -93,8 +93,9 @@ is semilinear if it satisfies the two properties `f (x + y) = f x + f y` and
 `f (c • x) = (σ c) • f x`. -/
 class SemilinearEquivClass (F : Type*) {R S : outParam (Type*)} [Semiring R] [Semiring S]
   (σ : outParam <| R →+* S) {σ' : outParam <| S →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
-  (M M₂ : outParam (Type*)) [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂] extends
-  AddEquivClass F M M₂ where
+  (M M₂ : outParam (Type*)) [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂]
+  [EquivLike F M M₂]
+  extends AddEquivClass F M M₂ : Prop where
   /-- Applying a semilinear equivalence `f` over `σ` to `r • x` equals `σ r • f x`. -/
   map_smulₛₗ : ∀ (f : F) (r : R) (x : M), f (r • x) = σ r • f x
 #align semilinear_equiv_class SemilinearEquivClass
@@ -105,7 +106,7 @@ class SemilinearEquivClass (F : Type*) {R S : outParam (Type*)} [Semiring R] [Se
 This is an abbreviation for `SemilinearEquivClass F (RingHom.id R) M M₂`.
 -/
 abbrev LinearEquivClass (F : Type*) (R M M₂ : outParam (Type*)) [Semiring R] [AddCommMonoid M]
-    [AddCommMonoid M₂] [Module R M] [Module R M₂] :=
+    [AddCommMonoid M₂] [Module R M] [Module R M₂] [EquivLike F M M₂] :=
   SemilinearEquivClass F (RingHom.id R) M M₂
 #align linear_equiv_class LinearEquivClass
 
@@ -120,10 +121,8 @@ variable [AddCommMonoid M] [AddCommMonoid M₁] [AddCommMonoid M₂]
 variable [Module R M] [Module S M₂] {σ : R →+* S} {σ' : S →+* R}
 
 instance (priority := 100) [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
-  [s : SemilinearEquivClass F σ M M₂] : SemilinearMapClass F σ M M₂ :=
-  { s with
-    coe := (s.coe : F → M → M₂)
-    coe_injective' := @DFunLike.coe_injective F _ _ _ }
+  [EquivLike F M M₂] [s : SemilinearEquivClass F σ M M₂] : SemilinearMapClass F σ M M₂ :=
+  { s with }
 
 end SemilinearEquivClass
 
@@ -171,11 +170,22 @@ theorem toLinearMap_inj {e₁ e₂ : M ≃ₛₗ[σ] M₂} : (↑e₁ : M →ₛ
   toLinearMap_injective.eq_iff
 #align linear_equiv.to_linear_map_inj LinearEquiv.toLinearMap_inj
 
-instance : SemilinearEquivClass (M ≃ₛₗ[σ] M₂) σ M M₂ where
+instance : EquivLike (M ≃ₛₗ[σ] M₂) M M₂ where
   inv := LinearEquiv.invFun
   coe_injective' _ _ h _ := toLinearMap_injective (DFunLike.coe_injective h)
   left_inv := LinearEquiv.left_inv
   right_inv := LinearEquiv.right_inv
+
+/-- Helper instance for when inference gets stuck on following the normal chain
+`EquivLike → FunLike`.
+
+TODO: this instance doesn't appear to be necessary: remove it (after benchmarking?)
+-/
+instance : FunLike (M ≃ₛₗ[σ] M₂) M M₂ where
+  coe := DFunLike.coe
+  coe_injective' := DFunLike.coe_injective
+
+instance : SemilinearEquivClass (M ≃ₛₗ[σ] M₂) σ M M₂ where
   map_add := (·.map_add') --map_add' Porting note: TODO why did I need to change this?
   map_smulₛₗ := (·.map_smul') --map_smul' Porting note: TODO why did I need to change this?

ea94d7cd

chore(Algebra/Module/LinearMap): split into 3 files (#10183)

23d27aa1

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro, Anne Baanen,
   Frédéric Dupuis, Heather Macbeth
 -/
-import Mathlib.Algebra.Module.LinearMap.Basic
+import Mathlib.Algebra.Module.LinearMap.End
 
 #align_import algebra.module.equiv from "leanprover-community/mathlib"@"ea94d7cd54ad9ca6b7710032868abb7c6a104c9c"

ea94d7cd

chore: create Algebra/Module/LinearMap/Basic in preparation of splitting (#10160)

chore: create Algebra/Module/LinearMap in preparation of splitting
adjust imports

9bd968ea

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro, Anne Baanen,
   Frédéric Dupuis, Heather Macbeth
 -/
-import Mathlib.Algebra.Module.LinearMap
+import Mathlib.Algebra.Module.LinearMap.Basic
 
 #align_import algebra.module.equiv from "leanprover-community/mathlib"@"ea94d7cd54ad9ca6b7710032868abb7c6a104c9c"

ea94d7cd

chore(*): rename FunLike to DFunLike (#9785)

This prepares for the introduction of a non-dependent synonym of FunLike, which helps a lot with keeping #8386 readable.

This is entirely search-and-replace in 680197f combined with manual fixes in 4145626, e900597 and b8428f8. The commands that generated this change:

sed -i 's/\bFunLike\b/DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoFunLike\b/toDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/import Mathlib.Data.DFunLike/import Mathlib.Data.FunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bHom_FunLike\b/Hom_DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean     
sed -i 's/\binstFunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bfunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoo many metavariables to apply `fun_like.has_coe_to_fun`/too many metavariables to apply `DFunLike.hasCoeToFun`/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean

Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

82656743

Diff

@@ -123,7 +123,7 @@ instance (priority := 100) [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
   [s : SemilinearEquivClass F σ M M₂] : SemilinearMapClass F σ M M₂ :=
   { s with
     coe := (s.coe : F → M → M₂)
-    coe_injective' := @FunLike.coe_injective F _ _ _ }
+    coe_injective' := @DFunLike.coe_injective F _ _ _ }
 
 end SemilinearEquivClass
 
@@ -173,7 +173,7 @@ theorem toLinearMap_inj {e₁ e₂ : M ≃ₛₗ[σ] M₂} : (↑e₁ : M →ₛ
 
 instance : SemilinearEquivClass (M ≃ₛₗ[σ] M₂) σ M M₂ where
   inv := LinearEquiv.invFun
-  coe_injective' _ _ h _ := toLinearMap_injective (FunLike.coe_injective h)
+  coe_injective' _ _ h _ := toLinearMap_injective (DFunLike.coe_injective h)
   left_inv := LinearEquiv.left_inv
   right_inv := LinearEquiv.right_inv
   map_add := (·.map_add') --map_add' Porting note: TODO why did I need to change this?
@@ -186,7 +186,7 @@ theorem coe_mk {to_fun inv_fun map_add map_smul left_inv right_inv} :
 #align linear_equiv.coe_mk LinearEquiv.coe_mk
 
 theorem coe_injective : @Injective (M ≃ₛₗ[σ] M₂) (M → M₂) CoeFun.coe :=
-  FunLike.coe_injective
+  DFunLike.coe_injective
 #align linear_equiv.coe_injective LinearEquiv.coe_injective
 
 end
@@ -232,19 +232,19 @@ variable {e e'}
 
 @[ext]
 theorem ext (h : ∀ x, e x = e' x) : e = e' :=
-  FunLike.ext _ _ h
+  DFunLike.ext _ _ h
 #align linear_equiv.ext LinearEquiv.ext
 
 theorem ext_iff : e = e' ↔ ∀ x, e x = e' x :=
-  FunLike.ext_iff
+  DFunLike.ext_iff
 #align linear_equiv.ext_iff LinearEquiv.ext_iff
 
 protected theorem congr_arg {x x'} : x = x' → e x = e x' :=
-  FunLike.congr_arg e
+  DFunLike.congr_arg e
 #align linear_equiv.congr_arg LinearEquiv.congr_arg
 
 protected theorem congr_fun (h : e = e') (x : M) : e x = e' x :=
-  FunLike.congr_fun h x
+  DFunLike.congr_fun h x
 #align linear_equiv.congr_fun LinearEquiv.congr_fun
 
 end
@@ -837,7 +837,7 @@ theorem toNatLinearEquiv_toAddEquiv : ↑e.toNatLinearEquiv = e := by
 @[simp]
 theorem _root_.LinearEquiv.toAddEquiv_toNatLinearEquiv (e : M ≃ₗ[ℕ] M₂) :
     AddEquiv.toNatLinearEquiv ↑e = e :=
-  FunLike.coe_injective rfl
+  DFunLike.coe_injective rfl
 #align linear_equiv.to_add_equiv_to_nat_linear_equiv LinearEquiv.toAddEquiv_toNatLinearEquiv
 
 @[simp]
@@ -884,7 +884,7 @@ theorem toIntLinearEquiv_toAddEquiv : ↑e.toIntLinearEquiv = e := by
 @[simp]
 theorem _root_.LinearEquiv.toAddEquiv_toIntLinearEquiv (e : M ≃ₗ[ℤ] M₂) :
     AddEquiv.toIntLinearEquiv (e : M ≃+ M₂) = e :=
-  FunLike.coe_injective rfl
+  DFunLike.coe_injective rfl
 #align linear_equiv.to_add_equiv_to_int_linear_equiv LinearEquiv.toAddEquiv_toIntLinearEquiv
 
 @[simp]

ea94d7cd

feat: supporting lemmas for defining root systems (#8980)

A collection of loosely-related lemmas, split out from other work in the hopes of simplifying review.

e8acc5ce

Diff

@@ -659,6 +659,21 @@ instance automorphismGroup : Group (M ≃ₗ[R] M) where
   mul_left_inv f := ext <| f.left_inv
 #align linear_equiv.automorphism_group LinearEquiv.automorphismGroup
 
+@[simp]
+lemma coe_one : ↑(1 : M ≃ₗ[R] M) = id := rfl
+
+@[simp]
+lemma coe_toLinearMap_one : (↑(1 : M ≃ₗ[R] M) : M →ₗ[R] M) = LinearMap.id := rfl
+
+@[simp]
+lemma coe_toLinearMap_mul {e₁ e₂ : M ≃ₗ[R] M} :
+    (↑(e₁ * e₂) : M →ₗ[R] M) = (e₁ : M →ₗ[R] M) * (e₂ : M →ₗ[R] M) := by
+  rfl
+
+theorem coe_pow (e : M ≃ₗ[R] M) (n : ℕ) : ⇑(e ^ n) = e^[n] := hom_coe_pow _ rfl (fun _ _ ↦ rfl) _ _
+
+theorem pow_apply (e : M ≃ₗ[R] M) (n : ℕ) (m : M) : (e ^ n) m = e^[n] m := congr_fun (coe_pow e n) m
+
 /-- Restriction from `R`-linear automorphisms of `M` to `R`-linear endomorphisms of `M`,
 promoted to a monoid hom. -/
 @[simps]

ea94d7cd

feat(Algebra/Module): use notation3 for composition notation (#8847)

This means that comp is printed with this notation in the goal view.

f2f86bd5

Diff

@@ -342,11 +342,11 @@ def trans
 #align linear_equiv.trans LinearEquiv.trans
 
 /-- The notation `e₁ ≪≫ₗ e₂` denotes the composition of the linear equivalences `e₁` and `e₂`. -/
-infixl:80 " ≪≫ₗ " =>
+notation3:80 (name := transNotation) e₁:80 " ≪≫ₗ " e₂:81 =>
   @LinearEquiv.trans _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (RingHom.id _) (RingHom.id _) (RingHom.id _)
     (RingHom.id _) (RingHom.id _) (RingHom.id _) RingHomCompTriple.ids RingHomCompTriple.ids
     RingHomInvPair.ids RingHomInvPair.ids RingHomInvPair.ids RingHomInvPair.ids RingHomInvPair.ids
-    RingHomInvPair.ids
+    RingHomInvPair.ids e₁ e₂
 
 variable {e₁₂} {e₂₃}

ea94d7cd

feat(/Equiv/): Add symm_bijective lemmas next to symm_symms (#8444)

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

e368f2a5

Diff

@@ -519,9 +519,7 @@ theorem symm_symm (e : M ≃ₛₗ[σ] M₂) : e.symm.symm = e := by
 
 theorem symm_bijective [Module R M] [Module S M₂] [RingHomInvPair σ' σ] [RingHomInvPair σ σ'] :
     Function.Bijective (symm : (M ≃ₛₗ[σ] M₂) → M₂ ≃ₛₗ[σ'] M) :=
-  Equiv.bijective
-    ⟨(symm : (M ≃ₛₗ[σ] M₂) → M₂ ≃ₛₗ[σ'] M), (symm : (M₂ ≃ₛₗ[σ'] M) → M ≃ₛₗ[σ] M₂), symm_symm,
-      symm_symm⟩
+  Function.bijective_iff_has_inverse.mpr ⟨_, symm_symm, symm_symm⟩
 #align linear_equiv.symm_bijective LinearEquiv.symm_bijective
 
 @[simp]

ea94d7cd

chore: redistribute some of the results in LinearAlgebra.Basic (#7801)

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

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

eb292821

Diff

@@ -893,3 +893,29 @@ theorem toIntLinearEquiv_trans (e₂ : M₂ ≃+ M₃) :
 end AddCommGroup
 
 end AddEquiv
+
+namespace LinearMap
+
+variable (R S M)
+variable [Semiring R] [Semiring S] [AddCommMonoid M] [Module R M]
+
+/-- The equivalence between R-linear maps from `R` to `M`, and points of `M` itself.
+This says that the forgetful functor from `R`-modules to types is representable, by `R`.
+
+This is an `S`-linear equivalence, under the assumption that `S` acts on `M` commuting with `R`.
+When `R` is commutative, we can take this to be the usual action with `S = R`.
+Otherwise, `S = ℕ` shows that the equivalence is additive.
+See note [bundled maps over different rings].
+-/
+@[simps]
+def ringLmapEquivSelf [Module S M] [SMulCommClass R S M] : (R →ₗ[R] M) ≃ₗ[S] M :=
+  { applyₗ' S (1 : R) with
+    toFun := fun f => f 1
+    invFun := smulRight (1 : R →ₗ[R] R)
+    left_inv := fun f => by
+      ext
+      simp only [coe_smulRight, one_apply, smul_eq_mul, ← map_smul f, mul_one]
+    right_inv := fun x => by simp }
+#align linear_map.ring_lmap_equiv_self LinearMap.ringLmapEquivSelf
+
+end LinearMap

ea94d7cd

fix: attribute [simp] ... in -> attribute [local simp] ... in (#7678)

Mathlib.Logic.Unique contains the line attribute [simp] eq_iff_true_of_subsingleton in ...:

https://github.com/leanprover-community/mathlib4/blob/96a11c7aac574c00370c2b3dab483cb676405c5d/Mathlib/Logic/Unique.lean#L255-L256

Despite what the in part may imply, this adds the lemma to the simp set "globally", including for downstream files; it is likely that attribute [local simp] eq_iff_true_of_subsingleton in ... was meant instead (or maybe scoped simp, but I think "scoped" refers to the current namespace). Indeed, the relevant lemma is not marked with @[simp] for possible slowness: https://github.com/leanprover/std4/blob/846e9e1d6bb534774d1acd2dc430e70987da3c18/Std/Logic.lean#L749. Adding it to the simp set causes the example at https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Regression.20in.20simp to slow down.

This PR changes this and fixes the relevant downstream simps. There was also one ocurrence of attribute [simp] FullSubcategory.comp_def FullSubcategory.id_def in in Mathlib.CategoryTheory.Monoidal.Subcategory but that was much easier to fix.

https://github.com/leanprover-community/mathlib4/blob/bc49eb9ba756a233370b4b68bcdedd60402f71ed/Mathlib/CategoryTheory/Monoidal/Subcategory.lean#L118-L119

1fe87718

Diff

@@ -721,7 +721,7 @@ def ofSubsingleton : M ≃ₗ[R] M₂ :=
 @[simp]
 theorem ofSubsingleton_self : ofSubsingleton M M = refl R M := by
   ext
-  simp
+  simp [eq_iff_true_of_subsingleton]
 #align linear_equiv.of_subsingleton_self LinearEquiv.ofSubsingleton_self
 
 end OfSubsingleton

ea94d7cd

chore: remove trailing space in backticks (#7617)

This will improve spaces in the mathlib4 docs.

9106dcf8

Diff

@@ -95,7 +95,7 @@ class SemilinearEquivClass (F : Type*) {R S : outParam (Type*)} [Semiring R] [Se
   (σ : outParam <| R →+* S) {σ' : outParam <| S →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
   (M M₂ : outParam (Type*)) [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂] extends
   AddEquivClass F M M₂ where
-  /-- Applying a semilinear equivalence `f` over `σ` to `r • x ` equals `σ r • f x`. -/
+  /-- Applying a semilinear equivalence `f` over `σ` to `r • x` equals `σ r • f x`. -/
   map_smulₛₗ : ∀ (f : F) (r : R) (x : M), f (r • x) = σ r • f x
 #align semilinear_equiv_class SemilinearEquivClass

ea94d7cd

style: fix wrapping of where (#7149)

084cfb35

Diff

@@ -692,12 +692,12 @@ instance apply_faithfulSMul : FaithfulSMul (M ≃ₗ[R] M) M :=
   ⟨@fun _ _ => LinearEquiv.ext⟩
 #align linear_equiv.apply_has_faithful_smul LinearEquiv.apply_faithfulSMul
 
-instance apply_smulCommClass : SMulCommClass R (M ≃ₗ[R] M) M
-    where smul_comm r e m := (e.map_smul r m).symm
+instance apply_smulCommClass : SMulCommClass R (M ≃ₗ[R] M) M where
+  smul_comm r e m := (e.map_smul r m).symm
 #align linear_equiv.apply_smul_comm_class LinearEquiv.apply_smulCommClass
 
-instance apply_smulCommClass' : SMulCommClass (M ≃ₗ[R] M) R M
-    where smul_comm := LinearEquiv.map_smul
+instance apply_smulCommClass' : SMulCommClass (M ≃ₗ[R] M) R M where
+  smul_comm := LinearEquiv.map_smul
 #align linear_equiv.apply_smul_comm_class' LinearEquiv.apply_smulCommClass'
 
 end Automorphisms

ea94d7cd

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

@@ -39,16 +39,16 @@ open Function
 
 universe u u' v w x y z
 
-variable {R : Type _} {R₁ : Type _} {R₂ : Type _} {R₃ : Type _}
-variable {k : Type _} {S : Type _} {M : Type _} {M₁ : Type _} {M₂ : Type _} {M₃ : Type _}
-variable {N₁ : Type _} {N₂ : Type _} {N₃ : Type _} {N₄ : Type _} {ι : Type _}
+variable {R : Type*} {R₁ : Type*} {R₂ : Type*} {R₃ : Type*}
+variable {k : Type*} {S : Type*} {M : Type*} {M₁ : Type*} {M₂ : Type*} {M₃ : Type*}
+variable {N₁ : Type*} {N₂ : Type*} {N₃ : Type*} {N₄ : Type*} {ι : Type*}
 
 section
 
 /-- A linear equivalence is an invertible linear map. -/
 --Porting note: TODO @[nolint has_nonempty_instance]
-structure LinearEquiv {R : Type _} {S : Type _} [Semiring R] [Semiring S] (σ : R →+* S)
-  {σ' : S →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ] (M : Type _) (M₂ : Type _)
+structure LinearEquiv {R : Type*} {S : Type*} [Semiring R] [Semiring S] (σ : R →+* S)
+  {σ' : S →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ] (M : Type*) (M₂ : Type*)
   [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂] extends LinearMap σ M M₂, M ≃+ M₂
 #align linear_equiv LinearEquiv
 
@@ -91,9 +91,9 @@ See also `LinearEquivClass F R M M₂` for the case where `σ` is the identity m
 A map `f` between an `R`-module and an `S`-module over a ring homomorphism `σ : R →+* S`
 is semilinear if it satisfies the two properties `f (x + y) = f x + f y` and
 `f (c • x) = (σ c) • f x`. -/
-class SemilinearEquivClass (F : Type _) {R S : outParam (Type _)} [Semiring R] [Semiring S]
+class SemilinearEquivClass (F : Type*) {R S : outParam (Type*)} [Semiring R] [Semiring S]
   (σ : outParam <| R →+* S) {σ' : outParam <| S →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
-  (M M₂ : outParam (Type _)) [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂] extends
+  (M M₂ : outParam (Type*)) [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂] extends
   AddEquivClass F M M₂ where
   /-- Applying a semilinear equivalence `f` over `σ` to `r • x ` equals `σ r • f x`. -/
   map_smulₛₗ : ∀ (f : F) (r : R) (x : M), f (r • x) = σ r • f x
@@ -104,7 +104,7 @@ class SemilinearEquivClass (F : Type _) {R S : outParam (Type _)} [Semiring R] [
 /-- `LinearEquivClass F R M M₂` asserts `F` is a type of bundled `R`-linear equivs `M → M₂`.
 This is an abbreviation for `SemilinearEquivClass F (RingHom.id R) M M₂`.
 -/
-abbrev LinearEquivClass (F : Type _) (R M M₂ : outParam (Type _)) [Semiring R] [AddCommMonoid M]
+abbrev LinearEquivClass (F : Type*) (R M M₂ : outParam (Type*)) [Semiring R] [AddCommMonoid M]
     [AddCommMonoid M₂] [Module R M] [Module R M₂] :=
   SemilinearEquivClass F (RingHom.id R) M M₂
 #align linear_equiv_class LinearEquivClass
@@ -113,7 +113,7 @@ end
 
 namespace SemilinearEquivClass
 
-variable (F : Type _) [Semiring R] [Semiring S]
+variable (F : Type*) [Semiring R] [Semiring S]
 
 variable [AddCommMonoid M] [AddCommMonoid M₁] [AddCommMonoid M₂]
 
@@ -131,7 +131,7 @@ namespace LinearEquiv
 
 section AddCommMonoid
 
-variable {M₄ : Type _}
+variable {M₄ : Type*}
 
 variable [Semiring R] [Semiring S]
 
@@ -278,17 +278,17 @@ def symm (e : M ≃ₛₗ[σ] M₂) : M₂ ≃ₛₗ[σ'] M :=
 
 -- Porting note: this is new
 /-- See Note [custom simps projection] -/
-def Simps.apply {R : Type _} {S : Type _} [Semiring R] [Semiring S]
+def Simps.apply {R : Type*} {S : Type*} [Semiring R] [Semiring S]
     {σ : R →+* S} {σ' : S →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
-    {M : Type _} {M₂ : Type _} [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂]
+    {M : Type*} {M₂ : Type*} [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂]
     (e : M ≃ₛₗ[σ] M₂) : M → M₂ :=
   e
 #align linear_equiv.simps.apply LinearEquiv.Simps.apply
 
 /-- See Note [custom simps projection] -/
-def Simps.symm_apply {R : Type _} {S : Type _} [Semiring R] [Semiring S]
+def Simps.symm_apply {R : Type*} {S : Type*} [Semiring R] [Semiring S]
     {σ : R →+* S} {σ' : S →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
-    {M : Type _} {M₂ : Type _} [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂]
+    {M : Type*} {M₂ : Type*} [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂]
     (e : M ≃ₛₗ[σ] M₂) : M₂ → M :=
   e.symm
 #align linear_equiv.simps.symm_apply LinearEquiv.Simps.symm_apply
@@ -408,19 +408,19 @@ theorem eq_symm_apply {x y} : y = e.symm x ↔ e y = x :=
   e.toEquiv.eq_symm_apply
 #align linear_equiv.eq_symm_apply LinearEquiv.eq_symm_apply
 
-theorem eq_comp_symm {α : Type _} (f : M₂ → α) (g : M₁ → α) : f = g ∘ e₁₂.symm ↔ f ∘ e₁₂ = g :=
+theorem eq_comp_symm {α : Type*} (f : M₂ → α) (g : M₁ → α) : f = g ∘ e₁₂.symm ↔ f ∘ e₁₂ = g :=
   e₁₂.toEquiv.eq_comp_symm f g
 #align linear_equiv.eq_comp_symm LinearEquiv.eq_comp_symm
 
-theorem comp_symm_eq {α : Type _} (f : M₂ → α) (g : M₁ → α) : g ∘ e₁₂.symm = f ↔ g = f ∘ e₁₂ :=
+theorem comp_symm_eq {α : Type*} (f : M₂ → α) (g : M₁ → α) : g ∘ e₁₂.symm = f ↔ g = f ∘ e₁₂ :=
   e₁₂.toEquiv.comp_symm_eq f g
 #align linear_equiv.comp_symm_eq LinearEquiv.comp_symm_eq
 
-theorem eq_symm_comp {α : Type _} (f : α → M₁) (g : α → M₂) : f = e₁₂.symm ∘ g ↔ e₁₂ ∘ f = g :=
+theorem eq_symm_comp {α : Type*} (f : α → M₁) (g : α → M₂) : f = e₁₂.symm ∘ g ↔ e₁₂ ∘ f = g :=
   e₁₂.toEquiv.eq_symm_comp f g
 #align linear_equiv.eq_symm_comp LinearEquiv.eq_symm_comp
 
-theorem symm_comp_eq {α : Type _} (f : α → M₁) (g : α → M₂) : e₁₂.symm ∘ g = f ↔ g = e₁₂ ∘ f :=
+theorem symm_comp_eq {α : Type*} (f : α → M₁) (g : α → M₂) : e₁₂.symm ∘ g = f ↔ g = e₁₂ ∘ f :=
   e₁₂.toEquiv.symm_comp_eq f g
 #align linear_equiv.symm_comp_eq LinearEquiv.symm_comp_eq
 
@@ -734,7 +734,7 @@ namespace Module
 
 /-- `g : R ≃+* S` is `R`-linear when the module structure on `S` is `Module.compHom S g` . -/
 @[simps]
-def compHom.toLinearEquiv {R S : Type _} [Semiring R] [Semiring S] (g : R ≃+* S) :
+def compHom.toLinearEquiv {R S : Type*} [Semiring R] [Semiring S] (g : R ≃+* S) :
     haveI := compHom S (↑g : R →+* S)
     R ≃ₗ[R] S :=
   letI := compHom S (↑g : R →+* S)

ea94d7cd

refactor(Algebra/Module/LinearMap): generalize the endomorphism algebra instance (#6207)

Note that the module instance was already generalized; we were just missing the fact that when combined with the existing ring instance, the result was an algebra.

This also moves some lemmas about IsUnit (_ : Module.End R M) to an earlier file as they are nothing to do with Algebra.

cebb5925

Diff

@@ -635,6 +635,18 @@ theorem restrictScalars_inj (f g : M ≃ₗ[S] M₂) :
 
 end RestrictScalars
 
+theorem _root_.Module.End_isUnit_iff [Module R M] (f : Module.End R M) :
+    IsUnit f ↔ Function.Bijective f :=
+  ⟨fun h =>
+    Function.bijective_iff_has_inverse.mpr <|
+      ⟨h.unit.inv,
+        ⟨Module.End_isUnit_inv_apply_apply_of_isUnit h,
+        Module.End_isUnit_apply_inv_apply_of_isUnit h⟩⟩,
+    fun H =>
+    let e : M ≃ₗ[R] M := { f, Equiv.ofBijective f H with }
+    ⟨⟨_, e.symm, LinearMap.ext e.right_inv, LinearMap.ext e.left_inv⟩, rfl⟩⟩
+#align module.End_is_unit_iff Module.End_isUnit_iff
+
 section Automorphisms
 
 variable [Module R M]

ea94d7cd

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

@@ -3,14 +3,11 @@ Copyright (c) 2020 Anne Baanen. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro, Anne Baanen,
   Frédéric Dupuis, Heather Macbeth
-
-! This file was ported from Lean 3 source module algebra.module.equiv
-! leanprover-community/mathlib commit ea94d7cd54ad9ca6b7710032868abb7c6a104c9c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Module.LinearMap
 
+#align_import algebra.module.equiv from "leanprover-community/mathlib"@"ea94d7cd54ad9ca6b7710032868abb7c6a104c9c"
+
 /-!
 # (Semi)linear equivalences

ea94d7cd

chore: fix upper/lowercase in comments (#4360)

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

27d257fc

Diff

@@ -332,8 +332,8 @@ variable (e₁₂ : M₁ ≃ₛₗ[σ₁₂] M₂) (e₂₃ : M₂ ≃ₛₗ[σ
 -- we have to list all the variables explicitly here in order to match the Lean 3 signature.
 set_option linter.unusedVariables false in
 /-- Linear equivalences are transitive. -/
--- Note: the `ring_hom_comp_triple σ₃₂ σ₂₁ σ₃₁` is unused, but is convenient to carry around
--- implicitly for lemmas like `linear_equiv.self_trans_symm`.
+-- Note: the `RingHomCompTriple σ₃₂ σ₂₁ σ₃₁` is unused, but is convenient to carry around
+-- implicitly for lemmas like `LinearEquiv.self_trans_symm`.
 @[trans, nolint unusedArguments]
 def trans
     [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃] [RingHomCompTriple σ₃₂ σ₂₁ σ₃₁]

ea94d7cd

chore: bump to nightly-2023-04-11 (#3139)

1cd8b316

Diff

@@ -122,7 +122,6 @@ variable [AddCommMonoid M] [AddCommMonoid M₁] [AddCommMonoid M₂]
 
 variable [Module R M] [Module S M₂] {σ : R →+* S} {σ' : S →+* R}
 
-@[infer_tc_goals_rl, nolint dangerousInstance]
 instance (priority := 100) [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
   [s : SemilinearEquivClass F σ M M₂] : SemilinearMapClass F σ M M₂ :=
   { s with

ea94d7cd

chore: update SHA for Algebra.Module.Equiv (#2667)

793de9ed

Diff

@@ -5,7 +5,7 @@ Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro, Anne
   Frédéric Dupuis, Heather Macbeth
 
 ! This file was ported from Lean 3 source module algebra.module.equiv
-! leanprover-community/mathlib commit 1126441d6bccf98c81214a0780c73d499f6721fe
+! leanprover-community/mathlib commit ea94d7cd54ad9ca6b7710032868abb7c6a104c9c
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/

1126441d

fix: replace symmApply by symm_apply (#2560)

9aade17b

Diff

@@ -290,14 +290,14 @@ def Simps.apply {R : Type _} {S : Type _} [Semiring R] [Semiring S]
 #align linear_equiv.simps.apply LinearEquiv.Simps.apply
 
 /-- See Note [custom simps projection] -/
-def Simps.symmApply {R : Type _} {S : Type _} [Semiring R] [Semiring S]
+def Simps.symm_apply {R : Type _} {S : Type _} [Semiring R] [Semiring S]
     {σ : R →+* S} {σ' : S →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
     {M : Type _} {M₂ : Type _} [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂]
     (e : M ≃ₛₗ[σ] M₂) : M₂ → M :=
   e.symm
-#align linear_equiv.simps.symm_apply LinearEquiv.Simps.symmApply
+#align linear_equiv.simps.symm_apply LinearEquiv.Simps.symm_apply
 
-initialize_simps_projections LinearEquiv (toFun → apply, invFun → symmApply)
+initialize_simps_projections LinearEquiv (toFun → apply, invFun → symm_apply)
 
 @[simp]
 theorem invFun_eq_symm : e.invFun = e.symm :=
@@ -586,7 +586,7 @@ def _root_.RingEquiv.toSemilinearEquiv (f : R ≃+* S) :
     toFun := f
     map_smul' := f.map_mul }
 #align ring_equiv.to_semilinear_equiv RingEquiv.toSemilinearEquiv
-#align ring_equiv.to_semilinear_equiv_symm_apply RingEquiv.toSemilinearEquiv_symmApply
+#align ring_equiv.to_semilinear_equiv_symm_apply RingEquiv.toSemilinearEquiv_symm_apply
 
 variable [Semiring R₁] [Semiring R₂] [Semiring R₃]
 
@@ -624,7 +624,7 @@ def restrictScalars (f : M ≃ₗ[S] M₂) : M ≃ₗ[R] M₂ :=
     right_inv := f.right_inv }
 #align linear_equiv.restrict_scalars LinearEquiv.restrictScalars
 #align linear_equiv.restrict_scalars_apply LinearEquiv.restrictScalars_apply
-#align linear_equiv.restrict_scalars_symm_apply LinearEquiv.restrictScalars_symmApply
+#align linear_equiv.restrict_scalars_symm_apply LinearEquiv.restrictScalars_symm_apply
 
 theorem restrictScalars_injective :
     Function.Injective (restrictScalars R : (M ≃ₗ[S] M₂) → M ≃ₗ[R] M₂) := fun _ _ h =>
@@ -708,7 +708,7 @@ def ofSubsingleton : M ≃ₗ[R] M₂ :=
     left_inv := fun _ => Subsingleton.elim _ _
     right_inv := fun _ => Subsingleton.elim _ _ }
 #align linear_equiv.of_subsingleton LinearEquiv.ofSubsingleton
-#align linear_equiv.of_subsingleton_symm_apply LinearEquiv.ofSubsingleton_symmApply
+#align linear_equiv.of_subsingleton_symm_apply LinearEquiv.ofSubsingleton_symm_apply
 
 @[simp]
 theorem ofSubsingleton_self : ofSubsingleton M M = refl R M := by
@@ -735,7 +735,7 @@ def compHom.toLinearEquiv {R S : Type _} [Semiring R] [Semiring S] (g : R ≃+*
     invFun := (g.symm : S → R)
     map_smul' := g.map_mul }
 #align module.comp_hom.to_linear_equiv Module.compHom.toLinearEquiv
-#align module.comp_hom.to_linear_equiv_symm_apply Module.compHom.toLinearEquiv_symmApply
+#align module.comp_hom.to_linear_equiv_symm_apply Module.compHom.toLinearEquiv_symm_apply
 
 end Module
 
@@ -753,7 +753,7 @@ def toLinearEquiv (s : S) : M ≃ₗ[R] M :=
   { toAddEquiv M s, toLinearMap R M s with }
 #align distrib_mul_action.to_linear_equiv DistribMulAction.toLinearEquiv
 #align distrib_mul_action.to_linear_equiv_apply DistribMulAction.toLinearEquiv_apply
-#align distrib_mul_action.to_linear_equiv_symm_apply DistribMulAction.toLinearEquiv_symmApply
+#align distrib_mul_action.to_linear_equiv_symm_apply DistribMulAction.toLinearEquiv_symm_apply
 
 /-- Each element of the group defines a module automorphism.

1126441d

feat: simps uses fields of parent structures (#2042)

initialize_simps_projections now by default generates all projections of all parent structures, and doesn't generate the projections to those parent structures.
You can also rename a nested projection directly, without having to specify intermediate parent structures
Added the option to turn the default behavior off (done in e.g. TwoPointed)

Internal changes:

Move most declarations to the Simps namespace, and shorten their names
Restructure ParsedProjectionData to avoid the bug reported here (and to another bug where it seemed that the wrong data was inserted in ParsedProjectionData, but it was hard to minimize because of all the crashes). If we manage to fix the bug in that Zulip thread, I'll see if I can track down the other bug in commit 97454284

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

b21620a7

Diff

@@ -287,6 +287,7 @@ def Simps.apply {R : Type _} {S : Type _} [Semiring R] [Semiring S]
     {M : Type _} {M₂ : Type _} [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂]
     (e : M ≃ₛₗ[σ] M₂) : M → M₂ :=
   e
+#align linear_equiv.simps.apply LinearEquiv.Simps.apply
 
 /-- See Note [custom simps projection] -/
 def Simps.symmApply {R : Type _} {S : Type _} [Semiring R] [Semiring S]
@@ -296,7 +297,7 @@ def Simps.symmApply {R : Type _} {S : Type _} [Semiring R] [Semiring S]
   e.symm
 #align linear_equiv.simps.symm_apply LinearEquiv.Simps.symmApply
 
-initialize_simps_projections LinearEquiv (toLinearMap_toAddHom_toFun → apply, invFun → symmApply)
+initialize_simps_projections LinearEquiv (toFun → apply, invFun → symmApply)
 
 @[simp]
 theorem invFun_eq_symm : e.invFun = e.symm :=

1126441d

feat: port LinearAlgebra.Basis (#2435)

Co-authored-by: Komyyy <pol_tta@outlook.jp> Co-authored-by: Lukas Miaskiwskyi <lukas.mias@gmail.com> Co-authored-by: ADedecker <anatolededecker@gmail.com> Co-authored-by: Anne Baanen <t.baanen@vu.nl>

be51120d

Diff

@@ -280,6 +280,14 @@ def symm (e : M ≃ₛₗ[σ] M₂) : M₂ ≃ₛₗ[σ'] M :=
     map_smul' := fun r x => by dsimp only; rw [map_smulₛₗ] }
 #align linear_equiv.symm LinearEquiv.symm
 
+-- Porting note: this is new
+/-- See Note [custom simps projection] -/
+def Simps.apply {R : Type _} {S : Type _} [Semiring R] [Semiring S]
+    {σ : R →+* S} {σ' : S →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
+    {M : Type _} {M₂ : Type _} [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂]
+    (e : M ≃ₛₗ[σ] M₂) : M → M₂ :=
+  e
+
 /-- See Note [custom simps projection] -/
 def Simps.symmApply {R : Type _} {S : Type _} [Semiring R] [Semiring S]
     {σ : R →+* S} {σ' : S →+* R} [RingHomInvPair σ σ'] [RingHomInvPair σ' σ]
@@ -288,7 +296,7 @@ def Simps.symmApply {R : Type _} {S : Type _} [Semiring R] [Semiring S]
   e.symm
 #align linear_equiv.simps.symm_apply LinearEquiv.Simps.symmApply
 
-initialize_simps_projections LinearEquiv (toLinearMap → apply, invFun → symmApply)
+initialize_simps_projections LinearEquiv (toLinearMap_toAddHom_toFun → apply, invFun → symmApply)
 
 @[simp]
 theorem invFun_eq_symm : e.invFun = e.symm :=
@@ -614,6 +622,7 @@ def restrictScalars (f : M ≃ₗ[S] M₂) : M ≃ₗ[R] M₂ :=
     left_inv := f.left_inv
     right_inv := f.right_inv }
 #align linear_equiv.restrict_scalars LinearEquiv.restrictScalars
+#align linear_equiv.restrict_scalars_apply LinearEquiv.restrictScalars_apply
 #align linear_equiv.restrict_scalars_symm_apply LinearEquiv.restrictScalars_symmApply
 
 theorem restrictScalars_injective :
@@ -738,7 +747,7 @@ variable [Group S] [DistribMulAction S M] [SMulCommClass S R M]
 /-- Each element of the group defines a linear equivalence.
 
 This is a stronger version of `DistribMulAction.toAddEquiv`. -/
-@[simps]
+@[simps!]
 def toLinearEquiv (s : S) : M ≃ₗ[R] M :=
   { toAddEquiv M s, toLinearMap R M s with }
 #align distrib_mul_action.to_linear_equiv DistribMulAction.toLinearEquiv

1126441d

chore: tidy various files (#2462)

c2182a74

Diff

@@ -74,17 +74,14 @@ add_decl_doc LinearEquiv.right_inv
 /-- `LinearEquiv.invFun` is a left inverse to the linear equivalence's underlying function. -/
 add_decl_doc LinearEquiv.left_inv
 
--- mathport name: «expr ≃ₛₗ[ ] »
 /-- The notation `M ≃ₛₗ[σ] M₂` denotes the type of linear equivalences between `M` and `M₂` over a
 ring homomorphism `σ`. -/
 notation:50 M " ≃ₛₗ[" σ "] " M₂ => LinearEquiv σ M M₂
 
--- mathport name: «expr ≃ₗ[ ] »
 /-- The notation `M ≃ₗ [R] M₂` denotes the type of linear equivalences between `M` and `M₂` over
 a plain linear map `M →ₗ M₂`. -/
 notation:50 M " ≃ₗ[" R "] " M₂ => LinearEquiv (RingHom.id R) M M₂
 
--- mathport name: «expr ≃ₗ⋆[ ] »
 /-- The notation `M ≃ₗ⋆[R] M₂` denotes the type of star-linear equivalences between `M` and `M₂`
 over the `⋆` endomorphism of the underlying starred ring `R`. -/
 notation:50 M " ≃ₗ⋆[" R "] " M₂ => LinearEquiv (starRingEnd R) M M₂
@@ -173,13 +170,12 @@ theorem toLinearMap_injective : Injective (toLinearMap : (M ≃ₛₗ[σ] M₂)
   fun _ _ H => toEquiv_injective <| Equiv.ext <| LinearMap.congr_fun H
 #align linear_equiv.to_linear_map_injective LinearEquiv.toLinearMap_injective
 
-@[simp] --Porting note: TODO @[norm_cast]
+@[simp, norm_cast]
 theorem toLinearMap_inj {e₁ e₂ : M ≃ₛₗ[σ] M₂} : (↑e₁ : M →ₛₗ[σ] M₂) = e₂ ↔ e₁ = e₂ :=
   toLinearMap_injective.eq_iff
 #align linear_equiv.to_linear_map_inj LinearEquiv.toLinearMap_inj
 
-instance : SemilinearEquivClass (M ≃ₛₗ[σ] M₂) σ M M₂
-    where
+instance : SemilinearEquivClass (M ≃ₛₗ[σ] M₂) σ M M₂ where
   inv := LinearEquiv.invFun
   coe_injective' _ _ h _ := toLinearMap_injective (FunLike.coe_injective h)
   left_inv := LinearEquiv.left_inv
@@ -215,7 +211,7 @@ variable {re₁ : RingHomInvPair σ σ'} {re₂ : RingHomInvPair σ' σ}
 
 variable (e e' : M ≃ₛₗ[σ] M₂)
 
-@[simp]  -- Porting note: TODO @[norm_cast]
+@[simp, norm_cast]
 theorem coe_coe : ⇑(e : M →ₛₗ[σ] M₂) = e :=
   rfl
 #align linear_equiv.coe_coe LinearEquiv.coe_coe
@@ -340,8 +336,6 @@ def trans
   { e₂₃.toLinearMap.comp e₁₂.toLinearMap, e₁₂.toEquiv.trans e₂₃.toEquiv with }
 #align linear_equiv.trans LinearEquiv.trans
 
--- mathport name: «expr ≪≫ₗ »
-set_option quotPrecheck false in
 /-- The notation `e₁ ≪≫ₗ e₂` denotes the composition of the linear equivalences `e₁` and `e₂`. -/
 infixl:80 " ≪≫ₗ " =>
   @LinearEquiv.trans _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (RingHom.id _) (RingHom.id _) (RingHom.id _)
@@ -639,8 +633,7 @@ section Automorphisms
 
 variable [Module R M]
 
-instance automorphismGroup : Group (M ≃ₗ[R] M)
-    where
+instance automorphismGroup : Group (M ≃ₗ[R] M) where
   mul f g := g.trans f
   one := LinearEquiv.refl R M
   inv f := f.symm
@@ -653,8 +646,7 @@ instance automorphismGroup : Group (M ≃ₗ[R] M)
 /-- Restriction from `R`-linear automorphisms of `M` to `R`-linear endomorphisms of `M`,
 promoted to a monoid hom. -/
 @[simps]
-def automorphismGroup.toLinearMapMonoidHom : (M ≃ₗ[R] M) →* M →ₗ[R] M
-    where
+def automorphismGroup.toLinearMapMonoidHom : (M ≃ₗ[R] M) →* M →ₗ[R] M where
   toFun e := e.toLinearMap
   map_one' := rfl
   map_mul' _ _ := rfl
@@ -664,8 +656,7 @@ def automorphismGroup.toLinearMapMonoidHom : (M ≃ₗ[R] M) →* M →ₗ[R] M
 /-- The tautological action by `M ≃ₗ[R] M` on `M`.
 
 This generalizes `Function.End.applyMulAction`. -/
-instance applyDistribMulAction : DistribMulAction (M ≃ₗ[R] M) M
-    where
+instance applyDistribMulAction : DistribMulAction (M ≃ₗ[R] M) M where
   smul := (· <| ·)
   smul_zero := LinearEquiv.map_zero
   smul_add := LinearEquiv.map_add
@@ -683,13 +674,13 @@ instance apply_faithfulSMul : FaithfulSMul (M ≃ₗ[R] M) M :=
   ⟨@fun _ _ => LinearEquiv.ext⟩
 #align linear_equiv.apply_has_faithful_smul LinearEquiv.apply_faithfulSMul
 
-instance apply_sMulCommClass : SMulCommClass R (M ≃ₗ[R] M) M
+instance apply_smulCommClass : SMulCommClass R (M ≃ₗ[R] M) M
     where smul_comm r e m := (e.map_smul r m).symm
-#align linear_equiv.apply_smul_comm_class LinearEquiv.apply_sMulCommClass
+#align linear_equiv.apply_smul_comm_class LinearEquiv.apply_smulCommClass
 
-instance apply_sMulCommClass' : SMulCommClass (M ≃ₗ[R] M) R M
+instance apply_smulCommClass' : SMulCommClass (M ≃ₗ[R] M) R M
     where smul_comm := LinearEquiv.map_smul
-#align linear_equiv.apply_smul_comm_class' LinearEquiv.apply_sMulCommClass'
+#align linear_equiv.apply_smul_comm_class' LinearEquiv.apply_smulCommClass'
 
 end Automorphisms

1126441d

feat: port LinearAlgebra.Prod (#2415)

05d37ddf

Diff

@@ -55,6 +55,8 @@ structure LinearEquiv {R : Type _} {S : Type _} [Semiring R] [Semiring S] (σ :
   [AddCommMonoid M] [AddCommMonoid M₂] [Module R M] [Module S M₂] extends LinearMap σ M M₂, M ≃+ M₂
 #align linear_equiv LinearEquiv
 
+attribute [coe] LinearEquiv.toLinearMap
+
 /-- The linear map underlying a linear equivalence. -/
 add_decl_doc LinearEquiv.toLinearMap
 #align linear_equiv.to_linear_map LinearEquiv.toLinearMap

1126441d

fix: Fix e₁ ≪≫ₗ e₂ (#2347)

Co-authored-by: Pol_tta <52843868+Komyyy@users.noreply.github.com>

7e974fd3

Diff

@@ -322,10 +322,19 @@ variable {re₃₂ : RingHomInvPair σ₃₂ σ₂₃} [RingHomInvPair σ₃₁
 
 variable (e₁₂ : M₁ ≃ₛₗ[σ₁₂] M₂) (e₂₃ : M₂ ≃ₛₗ[σ₂₃] M₃)
 
--- Note: The linter thinks the `RingHomCompTriple` argument is doubled -- it is not.
+-- Porting note: Lean 4 aggressively removes unused variables declared using `variables`, so
+-- we have to list all the variables explicitly here in order to match the Lean 3 signature.
+set_option linter.unusedVariables false in
 /-- Linear equivalences are transitive. -/
+-- Note: the `ring_hom_comp_triple σ₃₂ σ₂₁ σ₃₁` is unused, but is convenient to carry around
+-- implicitly for lemmas like `linear_equiv.self_trans_symm`.
 @[trans, nolint unusedArguments]
-def trans : M₁ ≃ₛₗ[σ₁₃] M₃ :=
+def trans
+    [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃] [RingHomCompTriple σ₃₂ σ₂₁ σ₃₁]
+    {re₁₂ : RingHomInvPair σ₁₂ σ₂₁} {re₂₃ : RingHomInvPair σ₂₃ σ₃₂}
+    [RingHomInvPair σ₁₃ σ₃₁] {re₂₁ : RingHomInvPair σ₂₁ σ₁₂}
+    {re₃₂ : RingHomInvPair σ₃₂ σ₂₃} [RingHomInvPair σ₃₁ σ₁₃]
+    (e₁₂ : M₁ ≃ₛₗ[σ₁₂] M₂) (e₂₃ : M₂ ≃ₛₗ[σ₂₃] M₃) : M₁ ≃ₛₗ[σ₁₃] M₃ :=
   { e₂₃.toLinearMap.comp e₁₂.toLinearMap, e₁₂.toEquiv.trans e₂₃.toEquiv with }
 #align linear_equiv.trans LinearEquiv.trans

1126441d

fix: fix simp lemmas about coercion to function (#2270)

bc10e01a

Diff

@@ -228,9 +228,8 @@ theorem coe_toLinearMap : ⇑e.toLinearMap = e :=
   rfl
 #align linear_equiv.coe_to_linear_map LinearEquiv.coe_toLinearMap
 
-@[simp]
-theorem toFun_eq_coe : e.toFun = e :=
-  rfl
+-- porting note: no longer a `simp`
+theorem toFun_eq_coe : e.toFun = e := rfl
 #align linear_equiv.to_fun_eq_coe LinearEquiv.toFun_eq_coe
 
 section

1126441d

fix: Add back LinearEquiv.coe_mk (#2253)

This lemma was incorrectly deleted in #1732, after a mis-port caused it to be rejected as a tautology.

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

28b8c15e

Diff

@@ -185,6 +185,12 @@ instance : SemilinearEquivClass (M ≃ₛₗ[σ] M₂) σ M M₂
   map_add := (·.map_add') --map_add' Porting note: TODO why did I need to change this?
   map_smulₛₗ := (·.map_smul') --map_smul' Porting note: TODO why did I need to change this?
 
+-- Porting note: moved to a lower line since there is no shortcut `CoeFun` instance any more
+@[simp]
+theorem coe_mk {to_fun inv_fun map_add map_smul left_inv right_inv} :
+    (⟨⟨⟨to_fun, map_add⟩, map_smul⟩, inv_fun, left_inv, right_inv⟩ : M ≃ₛₗ[σ] M₂) = to_fun := rfl
+#align linear_equiv.coe_mk LinearEquiv.coe_mk
+
 theorem coe_injective : @Injective (M ≃ₛₗ[σ] M₂) (M → M₂) CoeFun.coe :=
   FunLike.coe_injective
 #align linear_equiv.coe_injective LinearEquiv.coe_injective

1126441d

chore: add missing #align statements (#1902)

This PR is the result of a slight variant on the following "algorithm"

take all mathlib 3 names, remove _ and make all uppercase letters into lowercase
take all mathlib 4 names, remove _ and make all uppercase letters into lowercase
look for matches, and create pairs (original_lean3_name, OriginalLean4Name)
for pairs that do not have an align statement:
- use Lean 4 to lookup the file + position of the Lean 4 name
- add an #align statement just before the next empty line
manually fix some tiny mistakes (e.g., empty lines in proofs might cause the #align statement to have been inserted too early)

b72bb858

Diff

@@ -57,9 +57,11 @@ structure LinearEquiv {R : Type _} {S : Type _} [Semiring R] [Semiring S] (σ :
 
 /-- The linear map underlying a linear equivalence. -/
 add_decl_doc LinearEquiv.toLinearMap
+#align linear_equiv.to_linear_map LinearEquiv.toLinearMap
 
 /-- The additive equivalence of types underlying a linear equivalence. -/
 add_decl_doc LinearEquiv.toAddEquiv
+#align linear_equiv.to_add_equiv LinearEquiv.toAddEquiv
 
 /-- The backwards directed function underlying a linear equivalence. -/
 add_decl_doc LinearEquiv.invFun
@@ -565,6 +567,7 @@ def _root_.RingEquiv.toSemilinearEquiv (f : R ≃+* S) :
     toFun := f
     map_smul' := f.map_mul }
 #align ring_equiv.to_semilinear_equiv RingEquiv.toSemilinearEquiv
+#align ring_equiv.to_semilinear_equiv_symm_apply RingEquiv.toSemilinearEquiv_symmApply
 
 variable [Semiring R₁] [Semiring R₂] [Semiring R₃]
 
@@ -601,6 +604,7 @@ def restrictScalars (f : M ≃ₗ[S] M₂) : M ≃ₗ[R] M₂ :=
     left_inv := f.left_inv
     right_inv := f.right_inv }
 #align linear_equiv.restrict_scalars LinearEquiv.restrictScalars
+#align linear_equiv.restrict_scalars_symm_apply LinearEquiv.restrictScalars_symmApply
 
 theorem restrictScalars_injective :
     Function.Injective (restrictScalars R : (M ≃ₗ[S] M₂) → M ≃ₗ[R] M₂) := fun _ _ h =>
@@ -639,6 +643,7 @@ def automorphismGroup.toLinearMapMonoidHom : (M ≃ₗ[R] M) →* M →ₗ[R] M
   map_one' := rfl
   map_mul' _ _ := rfl
 #align linear_equiv.automorphism_group.to_linear_map_monoid_hom LinearEquiv.automorphismGroup.toLinearMapMonoidHom
+#align linear_equiv.automorphism_group.to_linear_map_monoid_hom_apply LinearEquiv.automorphismGroup.toLinearMapMonoidHom_apply
 
 /-- The tautological action by `M ≃ₗ[R] M` on `M`.
 
@@ -686,6 +691,7 @@ def ofSubsingleton : M ≃ₗ[R] M₂ :=
     left_inv := fun _ => Subsingleton.elim _ _
     right_inv := fun _ => Subsingleton.elim _ _ }
 #align linear_equiv.of_subsingleton LinearEquiv.ofSubsingleton
+#align linear_equiv.of_subsingleton_symm_apply LinearEquiv.ofSubsingleton_symmApply
 
 @[simp]
 theorem ofSubsingleton_self : ofSubsingleton M M = refl R M := by
@@ -712,6 +718,7 @@ def compHom.toLinearEquiv {R S : Type _} [Semiring R] [Semiring S] (g : R ≃+*
     invFun := (g.symm : S → R)
     map_smul' := g.map_mul }
 #align module.comp_hom.to_linear_equiv Module.compHom.toLinearEquiv
+#align module.comp_hom.to_linear_equiv_symm_apply Module.compHom.toLinearEquiv_symmApply
 
 end Module
 
@@ -728,6 +735,8 @@ This is a stronger version of `DistribMulAction.toAddEquiv`. -/
 def toLinearEquiv (s : S) : M ≃ₗ[R] M :=
   { toAddEquiv M s, toLinearMap R M s with }
 #align distrib_mul_action.to_linear_equiv DistribMulAction.toLinearEquiv
+#align distrib_mul_action.to_linear_equiv_apply DistribMulAction.toLinearEquiv_apply
+#align distrib_mul_action.to_linear_equiv_symm_apply DistribMulAction.toLinearEquiv_symmApply
 
 /-- Each element of the group defines a module automorphism.
 
@@ -738,6 +747,7 @@ def toModuleAut : S →* M ≃ₗ[R] M where
   map_one' := LinearEquiv.ext <| one_smul _
   map_mul' _ _ := LinearEquiv.ext <| mul_smul _ _
 #align distrib_mul_action.to_module_aut DistribMulAction.toModuleAut
+#align distrib_mul_action.to_module_aut_apply DistribMulAction.toModuleAut_apply
 
 end DistribMulAction

1126441d

feat : port Algebra.Module.Equiv (#1732)

0298ff32

`algebra.module.equiv` ⟷ `Mathlib.Algebra.Module.Equiv`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Important changes

Remaining issues

Slower (failing) search

`simp` not firing sometimes

Missing instances due to unification failing

Workaround for issues

Dependencies 3 + 194

algebra.module.equiv ⟷ Mathlib.Algebra.Module.Equiv

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Important changes

Remaining issues

Slower (failing) search

simp not firing sometimes

Missing instances due to unification failing

Workaround for issues

Dependencies 3 + 194

`algebra.module.equiv` ⟷ `Mathlib.Algebra.Module.Equiv`

`simp` not firing sometimes